id	sid	tid	token	lemma	pos
bcpe-1791	1	1	bcp	bcp	PROPN
bcpe-1791	1	2	education	education	PROPN
bcpe-1791	1	3	&	&	CCONJ
bcpe-1791	1	4	psychology	psychology	PROPN
bcpe-1791	1	5	erhss	erhss	PROPN
bcpe-1791	1	6	2022	2022	NUM
bcpe-1791	1	7	volume	volume	NOUN
bcpe-1791	1	8	6	6	NUM
bcpe-1791	1	9	(	(	PUNCT
bcpe-1791	1	10	2022	2022	NUM
bcpe-1791	1	11	)	)	PUNCT
bcpe-1791	1	12	207	207	NUM
bcpe-1791	1	13	problem	problem	NOUN
bcpe-1791	1	14	-	-	PUNCT
bcpe-1791	1	15	solving	solve	VERB
bcpe-1791	1	16	teaching	teaching	NOUN
bcpe-1791	1	17	strategies	strategy	NOUN
bcpe-1791	1	18	from	from	ADP
bcpe-1791	1	19	the	the	DET
bcpe-1791	1	20	perspective	perspective	NOUN
bcpe-1791	1	21	of	of	ADP
bcpe-1791	1	22	dividing	divide	VERB
bcpe-1791	1	23	the	the	DET
bcpe-1791	1	24	core	core	NOUN
bcpe-1791	1	25	literacy	literacy	NOUN
bcpe-1791	1	26	of	of	ADP
bcpe-1791	1	27	mathematical	mathematical	ADJ
bcpe-1791	1	28	operations	operation	NOUN
bcpe-1791	1	29	zhiguang	zhiguang	PROPN
bcpe-1791	1	30	li	li	PROPN
bcpe-1791	1	31	*	*	PROPN
bcpe-1791	1	32	school	school	NOUN
bcpe-1791	1	33	of	of	ADP
bcpe-1791	1	34	mathematics	mathematic	NOUN
bcpe-1791	1	35	and	and	CCONJ
bcpe-1791	1	36	information	information	NOUN
bcpe-1791	1	37	science	science	NOUN
bcpe-1791	1	38	,	,	PUNCT
bcpe-1791	1	39	guangzhou	guangzhou	PROPN
bcpe-1791	1	40	university	university	PROPN
bcpe-1791	1	41	,	,	PUNCT
bcpe-1791	1	42	guangdong	guangdong	PROPN
bcpe-1791	1	43	,	,	PUNCT
bcpe-1791	1	44	china	china	PROPN
bcpe-1791	1	45	*	*	PUNCT
bcpe-1791	1	46	corresponding	correspond	VERB
bcpe-1791	1	47	author	author	NOUN
bcpe-1791	1	48	:	:	PUNCT
bcpe-1791	1	49	vj162774@163.com	vj162774@163.com	PROPN
bcpe-1791	1	50	abstract	abstract	PROPN
bcpe-1791	1	51	.	.	PUNCT
bcpe-1791	2	1	mathematical	mathematical	ADJ
bcpe-1791	2	2	operation	operation	NOUN
bcpe-1791	2	3	literacy	literacy	NOUN
bcpe-1791	2	4	is	be	AUX
bcpe-1791	2	5	one	one	NUM
bcpe-1791	2	6	of	of	ADP
bcpe-1791	2	7	the	the	DET
bcpe-1791	2	8	six	six	NUM
bcpe-1791	2	9	core	core	NOUN
bcpe-1791	2	10	literacy	literacy	NOUN
bcpe-1791	2	11	proposed	propose	VERB
bcpe-1791	2	12	in	in	ADP
bcpe-1791	2	13	the	the	DET
bcpe-1791	2	14	new	new	ADJ
bcpe-1791	2	15	chinese	chinese	ADJ
bcpe-1791	2	16	senior	senior	ADJ
bcpe-1791	2	17	high	high	ADJ
bcpe-1791	2	18	school	school	NOUN
bcpe-1791	2	19	curriculum	curriculum	NOUN
bcpe-1791	2	20	reform	reform	NOUN
bcpe-1791	2	21	round	round	PROPN
bcpe-1791	2	22	.	.	PUNCT
bcpe-1791	3	1	based	base	VERB
bcpe-1791	3	2	on	on	ADP
bcpe-1791	3	3	the	the	DET
bcpe-1791	3	4	problem	problem	NOUN
bcpe-1791	3	5	-	-	PUNCT
bcpe-1791	3	6	solving	solve	VERB
bcpe-1791	3	7	teaching	teaching	NOUN
bcpe-1791	3	8	link	link	NOUN
bcpe-1791	3	9	of	of	ADP
bcpe-1791	3	10	the	the	DET
bcpe-1791	3	11	high	high	ADJ
bcpe-1791	3	12	school	school	NOUN
bcpe-1791	3	13	mathematics	mathematic	NOUN
bcpe-1791	3	14	conic	conic	ADJ
bcpe-1791	3	15	section	section	NOUN
bcpe-1791	3	16	,	,	PUNCT
bcpe-1791	3	17	this	this	DET
bcpe-1791	3	18	paper	paper	NOUN
bcpe-1791	3	19	is	be	AUX
bcpe-1791	3	20	based	base	VERB
bcpe-1791	3	21	on	on	ADP
bcpe-1791	3	22	the	the	DET
bcpe-1791	3	23	connotation	connotation	NOUN
bcpe-1791	3	24	and	and	CCONJ
bcpe-1791	3	25	method	method	NOUN
bcpe-1791	3	26	of	of	ADP
bcpe-1791	3	27	mathematical	mathematical	ADJ
bcpe-1791	3	28	operation	operation	NOUN
bcpe-1791	3	29	literacy	literacy	NOUN
bcpe-1791	3	30	cultivation	cultivation	NOUN
bcpe-1791	3	31	.	.	PUNCT
bcpe-1791	4	1	combined	combine	VERB
bcpe-1791	4	2	with	with	ADP
bcpe-1791	4	3	the	the	DET
bcpe-1791	4	4	problems	problem	NOUN
bcpe-1791	4	5	that	that	PRON
bcpe-1791	4	6	high	high	ADJ
bcpe-1791	4	7	school	school	NOUN
bcpe-1791	4	8	students	student	NOUN
bcpe-1791	4	9	have	have	VERB
bcpe-1791	4	10	in	in	ADP
bcpe-1791	4	11	the	the	DET
bcpe-1791	4	12	problem	problem	NOUN
bcpe-1791	4	13	-	-	PUNCT
bcpe-1791	4	14	solving	solving	NOUN
bcpe-1791	4	15	of	of	ADP
bcpe-1791	4	16	conic	conic	ADJ
bcpe-1791	4	17	sections	section	NOUN
bcpe-1791	4	18	,	,	PUNCT
bcpe-1791	4	19	we	we	PRON
bcpe-1791	4	20	innovate	innovate	VERB
bcpe-1791	4	21	the	the	DET
bcpe-1791	4	22	teaching	teaching	NOUN
bcpe-1791	4	23	strategies	strategy	NOUN
bcpe-1791	4	24	for	for	ADP
bcpe-1791	4	25	solving	solve	VERB
bcpe-1791	4	26	conic	conic	ADJ
bcpe-1791	4	27	sections	section	NOUN
bcpe-1791	4	28	,	,	PUNCT
bcpe-1791	4	29	improve	improve	VERB
bcpe-1791	4	30	students	student	NOUN
bcpe-1791	4	31	'	'	PART
bcpe-1791	4	32	literacy	literacy	NOUN
bcpe-1791	4	33	of	of	ADP
bcpe-1791	4	34	mathematical	mathematical	ADJ
bcpe-1791	4	35	operations	operation	NOUN
bcpe-1791	4	36	in	in	ADP
bcpe-1791	4	37	classroom	classroom	NOUN
bcpe-1791	4	38	teaching	teaching	NOUN
bcpe-1791	4	39	,	,	PUNCT
bcpe-1791	4	40	and	and	CCONJ
bcpe-1791	4	41	help	help	VERB
bcpe-1791	4	42	teachers	teacher	NOUN
bcpe-1791	4	43	teach	teach	VERB
bcpe-1791	4	44	conic	conic	ADJ
bcpe-1791	4	45	sections	section	NOUN
bcpe-1791	4	46	better	well	ADV
bcpe-1791	4	47	.	.	PUNCT
bcpe-1791	5	1	to	to	PART
bcpe-1791	5	2	enable	enable	VERB
bcpe-1791	5	3	students	student	NOUN
bcpe-1791	5	4	to	to	PART
bcpe-1791	5	5	grasp	grasp	VERB
bcpe-1791	5	6	the	the	DET
bcpe-1791	5	7	problem	problem	NOUN
bcpe-1791	5	8	-	-	PUNCT
bcpe-1791	5	9	solving	solve	VERB
bcpe-1791	5	10	method	method	NOUN
bcpe-1791	5	11	of	of	ADP
bcpe-1791	5	12	the	the	DET
bcpe-1791	5	13	conic	conic	ADJ
bcpe-1791	5	14	section	section	NOUN
bcpe-1791	5	15	better	well	ADV
bcpe-1791	5	16	.	.	PUNCT
bcpe-1791	6	1	keywords	keyword	NOUN
bcpe-1791	6	2	:	:	PUNCT
bcpe-1791	6	3	mathematical	mathematical	ADJ
bcpe-1791	6	4	operation	operation	NOUN
bcpe-1791	6	5	literacy	literacy	NOUN
bcpe-1791	6	6	;	;	PUNCT
bcpe-1791	6	7	conic	conic	ADJ
bcpe-1791	6	8	section	section	NOUN
bcpe-1791	6	9	;	;	PUNCT
bcpe-1791	6	10	teaching	teaching	NOUN
bcpe-1791	6	11	strategy	strategy	NOUN
bcpe-1791	6	12	.	.	PUNCT
bcpe-1791	7	1	1	1	X
bcpe-1791	7	2	.	.	X
bcpe-1791	7	3	introduction	introduction	NOUN
bcpe-1791	7	4	as	as	ADP
bcpe-1791	7	5	one	one	NUM
bcpe-1791	7	6	of	of	ADP
bcpe-1791	7	7	the	the	DET
bcpe-1791	7	8	six	six	NUM
bcpe-1791	7	9	core	core	NOUN
bcpe-1791	7	10	competencies	competency	NOUN
bcpe-1791	7	11	in	in	ADP
bcpe-1791	7	12	the	the	DET
bcpe-1791	7	13	curriculum	curriculum	NOUN
bcpe-1791	7	14	reform	reform	NOUN
bcpe-1791	7	15	of	of	ADP
bcpe-1791	7	16	ordinary	ordinary	ADJ
bcpe-1791	7	17	senior	senior	ADJ
bcpe-1791	7	18	high	high	ADJ
bcpe-1791	7	19	schools	school	NOUN
bcpe-1791	7	20	in	in	ADP
bcpe-1791	7	21	china	china	PROPN
bcpe-1791	7	22	,	,	PUNCT
bcpe-1791	7	23	mathematical	mathematical	ADJ
bcpe-1791	7	24	operation	operation	NOUN
bcpe-1791	7	25	plays	play	VERB
bcpe-1791	7	26	an	an	DET
bcpe-1791	7	27	important	important	ADJ
bcpe-1791	7	28	role	role	NOUN
bcpe-1791	7	29	in	in	ADP
bcpe-1791	7	30	students	student	NOUN
bcpe-1791	7	31	'	'	PART
bcpe-1791	7	32	high	high	ADJ
bcpe-1791	7	33	school	school	NOUN
bcpe-1791	7	34	mathematics	mathematic	NOUN
bcpe-1791	7	35	learning	learning	NOUN
bcpe-1791	7	36	and	and	CCONJ
bcpe-1791	7	37	even	even	ADV
bcpe-1791	7	38	lifelong	lifelong	ADJ
bcpe-1791	7	39	learning	learning	NOUN
bcpe-1791	7	40	and	and	CCONJ
bcpe-1791	7	41	development	development	NOUN
bcpe-1791	7	42	.	.	PUNCT
bcpe-1791	8	1	however	however	ADV
bcpe-1791	8	2	,	,	PUNCT
bcpe-1791	8	3	in	in	ADP
bcpe-1791	8	4	teaching	teach	VERB
bcpe-1791	8	5	research	research	NOUN
bcpe-1791	8	6	,	,	PUNCT
bcpe-1791	8	7	the	the	DET
bcpe-1791	8	8	author	author	NOUN
bcpe-1791	8	9	found	find	VERB
bcpe-1791	8	10	that	that	SCONJ
bcpe-1791	8	11	there	there	PRON
bcpe-1791	8	12	is	be	VERB
bcpe-1791	8	13	still	still	ADV
bcpe-1791	8	14	a	a	DET
bcpe-1791	8	15	big	big	ADJ
bcpe-1791	8	16	gap	gap	NOUN
bcpe-1791	8	17	between	between	ADP
bcpe-1791	8	18	the	the	DET
bcpe-1791	8	19	mathematical	mathematical	ADJ
bcpe-1791	8	20	operation	operation	NOUN
bcpe-1791	8	21	ability	ability	NOUN
bcpe-1791	8	22	of	of	ADP
bcpe-1791	8	23	high	high	ADJ
bcpe-1791	8	24	school	school	NOUN
bcpe-1791	8	25	students	student	NOUN
bcpe-1791	8	26	and	and	CCONJ
bcpe-1791	8	27	the	the	DET
bcpe-1791	8	28	requirements	requirement	NOUN
bcpe-1791	8	29	of	of	ADP
bcpe-1791	8	30	the	the	DET
bcpe-1791	8	31	new	new	ADJ
bcpe-1791	8	32	curriculum	curriculum	NOUN
bcpe-1791	8	33	standard	standard	NOUN
bcpe-1791	8	34	.	.	PUNCT
bcpe-1791	9	1	in	in	ADP
bcpe-1791	9	2	response	response	NOUN
bcpe-1791	9	3	to	to	ADP
bcpe-1791	9	4	these	these	DET
bcpe-1791	9	5	problems	problem	NOUN
bcpe-1791	9	6	,	,	PUNCT
bcpe-1791	9	7	the	the	DET
bcpe-1791	9	8	author	author	NOUN
bcpe-1791	9	9	took	take	VERB
bcpe-1791	9	10	the	the	DET
bcpe-1791	9	11	teaching	teaching	NOUN
bcpe-1791	9	12	process	process	NOUN
bcpe-1791	9	13	of	of	ADP
bcpe-1791	9	14	conic	conic	ADJ
bcpe-1791	9	15	section	section	NOUN
bcpe-1791	9	16	problem	problem	NOUN
bcpe-1791	9	17	solving	solve	VERB
bcpe-1791	9	18	as	as	ADP
bcpe-1791	9	19	an	an	DET
bcpe-1791	9	20	example	example	NOUN
bcpe-1791	9	21	,	,	PUNCT
bcpe-1791	9	22	combined	combine	VERB
bcpe-1791	9	23	with	with	ADP
bcpe-1791	9	24	the	the	DET
bcpe-1791	9	25	cultivation	cultivation	NOUN
bcpe-1791	9	26	of	of	ADP
bcpe-1791	9	27	mathematical	mathematical	ADJ
bcpe-1791	9	28	operation	operation	NOUN
bcpe-1791	9	29	literacy	literacy	NOUN
bcpe-1791	9	30	,	,	PUNCT
bcpe-1791	9	31	innovated	innovate	VERB
bcpe-1791	9	32	the	the	DET
bcpe-1791	9	33	conic	conic	ADJ
bcpe-1791	9	34	section	section	NOUN
bcpe-1791	9	35	problem	problem	NOUN
bcpe-1791	9	36	-	-	PUNCT
bcpe-1791	9	37	solving	solve	VERB
bcpe-1791	9	38	teaching	teaching	NOUN
bcpe-1791	9	39	strategy	strategy	NOUN
bcpe-1791	9	40	,	,	PUNCT
bcpe-1791	9	41	and	and	CCONJ
bcpe-1791	9	42	gave	give	VERB
bcpe-1791	9	43	corresponding	corresponding	ADJ
bcpe-1791	9	44	improvement	improvement	NOUN
bcpe-1791	9	45	suggestions	suggestion	NOUN
bcpe-1791	9	46	,	,	PUNCT
bcpe-1791	9	47	aiming	aim	VERB
bcpe-1791	9	48	to	to	PART
bcpe-1791	9	49	improve	improve	VERB
bcpe-1791	9	50	the	the	DET
bcpe-1791	9	51	mathematical	mathematical	ADJ
bcpe-1791	9	52	operation	operation	NOUN
bcpe-1791	9	53	literacy	literacy	NOUN
bcpe-1791	9	54	of	of	ADP
bcpe-1791	9	55	high	high	ADJ
bcpe-1791	9	56	school	school	NOUN
bcpe-1791	9	57	students	student	NOUN
bcpe-1791	9	58	and	and	CCONJ
bcpe-1791	9	59	teachers	teacher	NOUN
bcpe-1791	9	60	.	.	PUNCT
bcpe-1791	10	1	the	the	DET
bcpe-1791	10	2	methods	method	NOUN
bcpe-1791	10	3	and	and	CCONJ
bcpe-1791	10	4	paths	path	NOUN
bcpe-1791	10	5	of	of	ADP
bcpe-1791	10	6	cultivating	cultivate	VERB
bcpe-1791	10	7	this	this	DET
bcpe-1791	10	8	literacy	literacy	NOUN
bcpe-1791	10	9	provide	provide	VERB
bcpe-1791	10	10	certain	certain	ADJ
bcpe-1791	10	11	theoretical	theoretical	ADJ
bcpe-1791	10	12	references	reference	NOUN
bcpe-1791	10	13	.	.	PUNCT
bcpe-1791	11	1	2	2	X
bcpe-1791	11	2	.	.	X
bcpe-1791	11	3	definition	definition	NOUN
bcpe-1791	11	4	of	of	ADP
bcpe-1791	11	5	related	related	ADJ
bcpe-1791	11	6	concepts	concept	NOUN
bcpe-1791	11	7	and	and	CCONJ
bcpe-1791	11	8	research	research	NOUN
bcpe-1791	11	9	on	on	ADP
bcpe-1791	11	10	the	the	DET
bcpe-1791	11	11	current	current	ADJ
bcpe-1791	11	12	situation	situation	NOUN
bcpe-1791	11	13	2.1	2.1	NUM
bcpe-1791	11	14	what	what	PRON
bcpe-1791	11	15	are	be	AUX
bcpe-1791	11	16	mathematical	mathematical	ADJ
bcpe-1791	11	17	operations	operation	NOUN
bcpe-1791	11	18	in	in	ADP
bcpe-1791	11	19	2017	2017	NUM
bcpe-1791	11	20	,	,	PUNCT
bcpe-1791	11	21	the	the	DET
bcpe-1791	11	22	ministry	ministry	PROPN
bcpe-1791	11	23	of	of	ADP
bcpe-1791	11	24	education	education	NOUN
bcpe-1791	11	25	recently	recently	ADV
bcpe-1791	11	26	issued	issue	VERB
bcpe-1791	11	27	the	the	DET
bcpe-1791	11	28	"	"	PUNCT
bcpe-1791	11	29	mathematics	mathematic	NOUN
bcpe-1791	11	30	curriculum	curriculum	NOUN
bcpe-1791	11	31	standards	standard	NOUN
bcpe-1791	11	32	for	for	ADP
bcpe-1791	11	33	full	full	ADJ
bcpe-1791	11	34	-	-	PUNCT
bcpe-1791	11	35	time	time	NOUN
bcpe-1791	11	36	compulsory	compulsory	ADJ
bcpe-1791	11	37	education	education	NOUN
bcpe-1791	11	38	(	(	PUNCT
bcpe-1791	11	39	2017	2017	NUM
bcpe-1791	11	40	edition	edition	NOUN
bcpe-1791	11	41	)	)	PUNCT
bcpe-1791	11	42	"	"	PUNCT
bcpe-1791	12	1	[	[	X
bcpe-1791	12	2	1	1	X
bcpe-1791	12	3	]	]	PUNCT
bcpe-1791	12	4	,	,	PUNCT
bcpe-1791	12	5	which	which	PRON
bcpe-1791	12	6	proposed	propose	VERB
bcpe-1791	12	7	six	six	NUM
bcpe-1791	12	8	aspects	aspect	NOUN
bcpe-1791	12	9	covered	cover	VERB
bcpe-1791	12	10	by	by	ADP
bcpe-1791	12	11	the	the	DET
bcpe-1791	12	12	core	core	NOUN
bcpe-1791	12	13	literacy	literacy	NOUN
bcpe-1791	12	14	of	of	ADP
bcpe-1791	12	15	mathematics	mathematic	NOUN
bcpe-1791	12	16	,	,	PUNCT
bcpe-1791	12	17	namely	namely	ADV
bcpe-1791	12	18	"	"	PUNCT
bcpe-1791	12	19	logical	logical	ADJ
bcpe-1791	12	20	reasoning	reasoning	NOUN
bcpe-1791	12	21	,	,	PUNCT
bcpe-1791	12	22	mathematical	mathematical	ADJ
bcpe-1791	12	23	abstraction	abstraction	NOUN
bcpe-1791	12	24	,	,	PUNCT
bcpe-1791	12	25	mathematical	mathematical	ADJ
bcpe-1791	12	26	modeling	modeling	NOUN
bcpe-1791	12	27	,	,	PUNCT
bcpe-1791	12	28	intuition	intuition	NOUN
bcpe-1791	12	29	.	.	PUNCT
bcpe-1791	13	1	imagination	imagination	NOUN
bcpe-1791	13	2	,	,	PUNCT
bcpe-1791	13	3	mathematical	mathematical	ADJ
bcpe-1791	13	4	operations	operation	NOUN
bcpe-1791	13	5	,	,	PUNCT
bcpe-1791	13	6	data	datum	NOUN
bcpe-1791	13	7	analysis	analysis	NOUN
bcpe-1791	13	8	"	"	PUNCT
bcpe-1791	13	9	.	.	PUNCT
bcpe-1791	14	1	as	as	ADP
bcpe-1791	14	2	one	one	NUM
bcpe-1791	14	3	of	of	ADP
bcpe-1791	14	4	the	the	DET
bcpe-1791	14	5	six	six	NUM
bcpe-1791	14	6	core	core	NOUN
bcpe-1791	14	7	competencies	competency	NOUN
bcpe-1791	14	8	,	,	PUNCT
bcpe-1791	14	9	"	"	PUNCT
bcpe-1791	14	10	a	a	DET
bcpe-1791	14	11	mathematical	mathematical	ADJ
bcpe-1791	14	12	operation	operation	NOUN
bcpe-1791	14	13	"	"	PUNCT
bcpe-1791	14	14	is	be	AUX
bcpe-1791	14	15	not	not	PART
bcpe-1791	14	16	only	only	ADV
bcpe-1791	14	17	directly	directly	ADV
bcpe-1791	14	18	related	relate	VERB
bcpe-1791	14	19	to	to	ADP
bcpe-1791	14	20	the	the	DET
bcpe-1791	14	21	cultivation	cultivation	NOUN
bcpe-1791	14	22	of	of	ADP
bcpe-1791	14	23	other	other	ADJ
bcpe-1791	14	24	competencies	competency	NOUN
bcpe-1791	14	25	but	but	CCONJ
bcpe-1791	14	26	also	also	ADV
bcpe-1791	14	27	has	have	VERB
bcpe-1791	14	28	a	a	DET
bcpe-1791	14	29	certain	certain	ADJ
bcpe-1791	14	30	impact	impact	NOUN
bcpe-1791	14	31	on	on	ADP
bcpe-1791	14	32	students	student	NOUN
bcpe-1791	14	33	'	'	PART
bcpe-1791	14	34	theoretical	theoretical	ADJ
bcpe-1791	14	35	study	study	NOUN
bcpe-1791	14	36	and	and	CCONJ
bcpe-1791	14	37	practical	practical	ADJ
bcpe-1791	14	38	content	content	NOUN
bcpe-1791	14	39	in	in	ADP
bcpe-1791	14	40	other	other	ADJ
bcpe-1791	14	41	majors	major	NOUN
bcpe-1791	14	42	.	.	PUNCT
bcpe-1791	15	1	then	then	ADV
bcpe-1791	15	2	,	,	PUNCT
bcpe-1791	15	3	what	what	PRON
bcpe-1791	15	4	is	be	AUX
bcpe-1791	15	5	the	the	DET
bcpe-1791	15	6	specific	specific	ADJ
bcpe-1791	15	7	meaning	meaning	NOUN
bcpe-1791	15	8	of	of	ADP
bcpe-1791	15	9	mathematical	mathematical	ADJ
bcpe-1791	15	10	operation	operation	NOUN
bcpe-1791	15	11	.	.	PUNCT
bcpe-1791	16	1	the	the	DET
bcpe-1791	16	2	author	author	NOUN
bcpe-1791	16	3	summarizes	summarize	VERB
bcpe-1791	16	4	it	it	PRON
bcpe-1791	16	5	into	into	ADP
bcpe-1791	16	6	two	two	NUM
bcpe-1791	16	7	aspects	aspect	NOUN
bcpe-1791	16	8	:	:	PUNCT
bcpe-1791	16	9	"	"	PUNCT
bcpe-1791	16	10	mathematical	mathematical	ADJ
bcpe-1791	16	11	operation	operation	NOUN
bcpe-1791	16	12	literacy	literacy	NOUN
bcpe-1791	16	13	"	"	PUNCT
bcpe-1791	16	14	and	and	CCONJ
bcpe-1791	16	15	"	"	PUNCT
bcpe-1791	16	16	mathematical	mathematical	ADJ
bcpe-1791	16	17	operation	operation	NOUN
bcpe-1791	16	18	ability	ability	NOUN
bcpe-1791	16	19	,	,	PUNCT
bcpe-1791	16	20	"	"	PUNCT
bcpe-1791	16	21	combined	combine	VERB
bcpe-1791	16	22	with	with	ADP
bcpe-1791	16	23	the	the	DET
bcpe-1791	16	24	latest	late	ADJ
bcpe-1791	16	25	curriculum	curriculum	NOUN
bcpe-1791	16	26	standards	standard	NOUN
bcpe-1791	16	27	at	at	ADP
bcpe-1791	16	28	this	this	DET
bcpe-1791	16	29	stage	stage	NOUN
bcpe-1791	16	30	.	.	PUNCT
bcpe-1791	17	1	"	"	PUNCT
bcpe-1791	17	2	mathematical	mathematical	ADJ
bcpe-1791	17	3	operation	operation	NOUN
bcpe-1791	17	4	literacy	literacy	NOUN
bcpe-1791	17	5	"	"	PUNCT
bcpe-1791	17	6	refers	refer	VERB
bcpe-1791	17	7	to	to	ADP
bcpe-1791	17	8	the	the	DET
bcpe-1791	17	9	literacy	literacy	NOUN
bcpe-1791	17	10	of	of	ADP
bcpe-1791	17	11	solving	solve	VERB
bcpe-1791	17	12	mathematical	mathematical	ADJ
bcpe-1791	17	13	problems	problem	NOUN
bcpe-1791	17	14	according	accord	VERB
bcpe-1791	17	15	to	to	ADP
bcpe-1791	17	16	the	the	DET
bcpe-1791	17	17	algorithm	algorithm	NOUN
bcpe-1791	17	18	based	base	VERB
bcpe-1791	17	19	on	on	ADP
bcpe-1791	17	20	clarifying	clarify	VERB
bcpe-1791	17	21	the	the	DET
bcpe-1791	17	22	operation	operation	NOUN
bcpe-1791	17	23	object	object	NOUN
bcpe-1791	17	24	.	.	PUNCT
bcpe-1791	18	1	that	that	PRON
bcpe-1791	18	2	is	be	AUX
bcpe-1791	18	3	the	the	DET
bcpe-1791	18	4	personality	personality	NOUN
bcpe-1791	18	5	and	and	CCONJ
bcpe-1791	18	6	psychological	psychological	ADJ
bcpe-1791	18	7	quality	quality	NOUN
bcpe-1791	18	8	reflected	reflect	VERB
bcpe-1791	18	9	by	by	ADP
bcpe-1791	18	10	the	the	DET
bcpe-1791	18	11	students	student	NOUN
bcpe-1791	18	12	during	during	ADP
bcpe-1791	18	13	the	the	DET
bcpe-1791	18	14	mathematical	mathematical	ADJ
bcpe-1791	18	15	operation	operation	NOUN
bcpe-1791	18	16	.	.	PUNCT
bcpe-1791	19	1	[	[	X
bcpe-1791	19	2	2	2	NUM
bcpe-1791	19	3	]	]	PUNCT
bcpe-1791	19	4	from	from	ADP
bcpe-1791	19	5	the	the	DET
bcpe-1791	19	6	perspective	perspective	NOUN
bcpe-1791	19	7	of	of	ADP
bcpe-1791	19	8	students	student	NOUN
bcpe-1791	19	9	'	'	PART
bcpe-1791	19	10	mathematical	mathematical	ADJ
bcpe-1791	19	11	operation	operation	NOUN
bcpe-1791	19	12	literacy	literacy	NOUN
bcpe-1791	19	13	,	,	PUNCT
bcpe-1791	19	14	its	its	PRON
bcpe-1791	19	15	main	main	ADJ
bcpe-1791	19	16	characteristics	characteristic	NOUN
bcpe-1791	19	17	are	be	AUX
bcpe-1791	19	18	innovation	innovation	NOUN
bcpe-1791	19	19	,	,	PUNCT
bcpe-1791	19	20	rationality	rationality	NOUN
bcpe-1791	19	21	,	,	PUNCT
bcpe-1791	19	22	flexibility	flexibility	NOUN
bcpe-1791	19	23	,	,	PUNCT
bcpe-1791	19	24	accuracy	accuracy	NOUN
bcpe-1791	19	25	,	,	PUNCT
bcpe-1791	19	26	and	and	CCONJ
bcpe-1791	19	27	convenience	convenience	NOUN
bcpe-1791	19	28	.	.	PUNCT
bcpe-1791	20	1	from	from	ADP
bcpe-1791	20	2	the	the	DET
bcpe-1791	20	3	perspective	perspective	NOUN
bcpe-1791	20	4	of	of	ADP
bcpe-1791	20	5	content	content	NOUN
bcpe-1791	20	6	,	,	PUNCT
bcpe-1791	20	7	mathematical	mathematical	ADJ
bcpe-1791	20	8	operation	operation	NOUN
bcpe-1791	20	9	literacy	literacy	NOUN
bcpe-1791	20	10	includes	include	VERB
bcpe-1791	20	11	symbolic	symbolic	ADJ
bcpe-1791	20	12	operation	operation	NOUN
bcpe-1791	20	13	literacy	literacy	NOUN
bcpe-1791	20	14	and	and	CCONJ
bcpe-1791	20	15	number	number	NOUN
bcpe-1791	20	16	operation	operation	NOUN
bcpe-1791	20	17	literacy	literacy	NOUN
bcpe-1791	20	18	;	;	PUNCT
bcpe-1791	20	19	from	from	ADP
bcpe-1791	20	20	the	the	DET
bcpe-1791	20	21	perspective	perspective	NOUN
bcpe-1791	20	22	of	of	ADP
bcpe-1791	20	23	operation	operation	NOUN
bcpe-1791	20	24	process	process	NOUN
bcpe-1791	20	25	,	,	PUNCT
bcpe-1791	20	26	mathematical	mathematical	ADJ
bcpe-1791	20	27	operation	operation	NOUN
bcpe-1791	20	28	literacy	literacy	NOUN
bcpe-1791	20	29	consists	consist	VERB
bcpe-1791	20	30	of	of	ADP
bcpe-1791	20	31	analyzing	analyze	VERB
bcpe-1791	20	32	operation	operation	NOUN
bcpe-1791	20	33	bcp	bcp	PROPN
bcpe-1791	20	34	education	education	PROPN
bcpe-1791	20	35	&	&	CCONJ
bcpe-1791	20	36	psychology	psychology	PROPN
bcpe-1791	20	37	erhss	erhss	PROPN
bcpe-1791	20	38	2022	2022	NUM
bcpe-1791	20	39	volume	volume	NOUN
bcpe-1791	20	40	6	6	NUM
bcpe-1791	20	41	(	(	PUNCT
bcpe-1791	20	42	2022	2022	NUM
bcpe-1791	20	43	)	)	PUNCT
bcpe-1791	20	44	208	208	NUM
bcpe-1791	20	45	conditions	condition	NOUN
bcpe-1791	20	46	,	,	PUNCT
bcpe-1791	20	47	clarifying	clarify	VERB
bcpe-1791	20	48	operation	operation	NOUN
bcpe-1791	20	49	direction	direction	NOUN
bcpe-1791	20	50	,	,	PUNCT
bcpe-1791	20	51	determining	determine	VERB
bcpe-1791	20	52	operation	operation	NOUN
bcpe-1791	20	53	steps	step	NOUN
bcpe-1791	20	54	,	,	PUNCT
bcpe-1791	20	55	selecting	select	VERB
bcpe-1791	20	56	operations	operation	NOUN
bcpe-1791	20	57	formulas	formula	NOUN
bcpe-1791	20	58	,	,	PUNCT
bcpe-1791	20	59	etc	etc	X
bcpe-1791	20	60	.	.	PUNCT
bcpe-1791	21	1	"	"	PUNCT
bcpe-1791	21	2	mathematical	mathematical	ADJ
bcpe-1791	21	3	operation	operation	NOUN
bcpe-1791	21	4	ability	ability	NOUN
bcpe-1791	21	5	"	"	PUNCT
bcpe-1791	21	6	refers	refer	VERB
bcpe-1791	21	7	to	to	ADP
bcpe-1791	21	8	the	the	DET
bcpe-1791	21	9	practical	practical	ADJ
bcpe-1791	21	10	process	process	NOUN
bcpe-1791	21	11	of	of	ADP
bcpe-1791	21	12	correctly	correctly	ADV
bcpe-1791	21	13	understanding	understanding	NOUN
bcpe-1791	21	14	and	and	CCONJ
bcpe-1791	21	15	analyzing	analyze	VERB
bcpe-1791	21	16	conditions	condition	NOUN
bcpe-1791	21	17	,	,	PUNCT
bcpe-1791	21	18	carrying	carry	VERB
bcpe-1791	21	19	out	out	ADP
bcpe-1791	21	20	simple	simple	ADJ
bcpe-1791	21	21	estimation	estimation	NOUN
bcpe-1791	21	22	and	and	CCONJ
bcpe-1791	21	23	approximate	approximate	ADJ
bcpe-1791	21	24	calculation	calculation	NOUN
bcpe-1791	21	25	,	,	PUNCT
bcpe-1791	21	26	forming	form	VERB
bcpe-1791	21	27	operation	operation	NOUN
bcpe-1791	21	28	ideas	idea	NOUN
bcpe-1791	21	29	,	,	PUNCT
bcpe-1791	21	30	selecting	select	VERB
bcpe-1791	21	31	reasonable	reasonable	ADJ
bcpe-1791	21	32	operation	operation	NOUN
bcpe-1791	21	33	rules	rule	NOUN
bcpe-1791	21	34	and	and	CCONJ
bcpe-1791	21	35	methods	method	NOUN
bcpe-1791	21	36	,	,	PUNCT
bcpe-1791	21	37	and	and	CCONJ
bcpe-1791	21	38	obtaining	obtain	VERB
bcpe-1791	21	39	accurate	accurate	ADJ
bcpe-1791	21	40	operation	operation	NOUN
bcpe-1791	21	41	results	result	NOUN
bcpe-1791	21	42	.	.	PUNCT
bcpe-1791	22	1	different	different	ADJ
bcpe-1791	22	2	learning	learning	NOUN
bcpe-1791	22	3	stages	stage	NOUN
bcpe-1791	22	4	have	have	VERB
bcpe-1791	22	5	different	different	ADJ
bcpe-1791	22	6	requirements	requirement	NOUN
bcpe-1791	22	7	for	for	ADP
bcpe-1791	22	8	mathematical	mathematical	ADJ
bcpe-1791	22	9	operation	operation	NOUN
bcpe-1791	22	10	ability	ability	NOUN
bcpe-1791	22	11	from	from	ADP
bcpe-1791	22	12	elementary	elementary	ADJ
bcpe-1791	22	13	school	school	NOUN
bcpe-1791	22	14	,	,	PUNCT
bcpe-1791	22	15	junior	junior	ADJ
bcpe-1791	22	16	high	high	ADJ
bcpe-1791	22	17	school	school	NOUN
bcpe-1791	22	18	to	to	ADP
bcpe-1791	22	19	high	high	ADJ
bcpe-1791	22	20	school	school	NOUN
bcpe-1791	22	21	,	,	PUNCT
bcpe-1791	22	22	different	different	ADJ
bcpe-1791	22	23	learning	learning	NOUN
bcpe-1791	22	24	stages	stage	NOUN
bcpe-1791	22	25	have	have	VERB
bcpe-1791	22	26	different	different	ADJ
bcpe-1791	22	27	requirements	requirement	NOUN
bcpe-1791	22	28	for	for	ADP
bcpe-1791	22	29	mathematical	mathematical	ADJ
bcpe-1791	22	30	operation	operation	NOUN
bcpe-1791	22	31	ability	ability	NOUN
bcpe-1791	22	32	,	,	PUNCT
bcpe-1791	22	33	but	but	CCONJ
bcpe-1791	22	34	mathematical	mathematical	ADJ
bcpe-1791	22	35	operation	operation	NOUN
bcpe-1791	22	36	runs	run	VERB
bcpe-1791	22	37	through	through	ADP
bcpe-1791	22	38	the	the	DET
bcpe-1791	22	39	entire	entire	ADJ
bcpe-1791	22	40	mathematics	mathematic	NOUN
bcpe-1791	22	41	learning	learning	NOUN
bcpe-1791	22	42	process	process	NOUN
bcpe-1791	22	43	.	.	PUNCT
bcpe-1791	23	1	different	different	ADJ
bcpe-1791	23	2	from	from	ADP
bcpe-1791	23	3	primary	primary	ADJ
bcpe-1791	23	4	and	and	CCONJ
bcpe-1791	23	5	secondary	secondary	ADJ
bcpe-1791	23	6	schools	school	NOUN
bcpe-1791	23	7	,	,	PUNCT
bcpe-1791	23	8	computing	compute	VERB
bcpe-1791	23	9	ability	ability	NOUN
bcpe-1791	23	10	requirements	requirement	NOUN
bcpe-1791	23	11	differ	differ	VERB
bcpe-1791	23	12	.	.	PUNCT
bcpe-1791	24	1	after	after	ADP
bcpe-1791	24	2	entering	enter	VERB
bcpe-1791	24	3	high	high	ADJ
bcpe-1791	24	4	school	school	NOUN
bcpe-1791	24	5	,	,	PUNCT
bcpe-1791	24	6	the	the	DET
bcpe-1791	24	7	breadth	breadth	NOUN
bcpe-1791	24	8	and	and	CCONJ
bcpe-1791	24	9	difficulty	difficulty	NOUN
bcpe-1791	24	10	of	of	ADP
bcpe-1791	24	11	knowledge	knowledge	NOUN
bcpe-1791	24	12	are	be	AUX
bcpe-1791	24	13	greatly	greatly	ADV
bcpe-1791	24	14	increased	increase	VERB
bcpe-1791	24	15	,	,	PUNCT
bcpe-1791	24	16	and	and	CCONJ
bcpe-1791	24	17	the	the	DET
bcpe-1791	24	18	mathematics	mathematic	NOUN
bcpe-1791	24	19	problems	problem	NOUN
bcpe-1791	24	20	are	be	AUX
bcpe-1791	24	21	becoming	become	VERB
bcpe-1791	24	22	more	more	ADV
bcpe-1791	24	23	and	and	CCONJ
bcpe-1791	24	24	more	more	ADV
bcpe-1791	24	25	comprehensive	comprehensive	ADJ
bcpe-1791	24	26	.	.	PUNCT
bcpe-1791	25	1	solving	solve	VERB
bcpe-1791	25	2	mathematical	mathematical	ADJ
bcpe-1791	25	3	operations	operation	NOUN
bcpe-1791	25	4	sometimes	sometimes	ADV
bcpe-1791	25	5	require	require	VERB
bcpe-1791	25	6	a	a	DET
bcpe-1791	25	7	high	high	ADJ
bcpe-1791	25	8	level	level	NOUN
bcpe-1791	25	9	of	of	ADP
bcpe-1791	25	10	understanding	understanding	NOUN
bcpe-1791	25	11	of	of	ADP
bcpe-1791	25	12	the	the	DET
bcpe-1791	25	13	nature	nature	NOUN
bcpe-1791	25	14	of	of	ADP
bcpe-1791	25	15	the	the	DET
bcpe-1791	25	16	relevant	relevant	ADJ
bcpe-1791	25	17	concepts	concept	NOUN
bcpe-1791	25	18	.	.	PUNCT
bcpe-1791	26	1	when	when	SCONJ
bcpe-1791	26	2	faced	face	VERB
bcpe-1791	26	3	with	with	ADP
bcpe-1791	26	4	a	a	DET
bcpe-1791	26	5	comprehensive	comprehensive	ADJ
bcpe-1791	26	6	practice	practice	NOUN
bcpe-1791	26	7	question	question	NOUN
bcpe-1791	26	8	,	,	PUNCT
bcpe-1791	26	9	it	it	PRON
bcpe-1791	26	10	is	be	AUX
bcpe-1791	26	11	often	often	ADV
bcpe-1791	26	12	necessary	necessary	ADJ
bcpe-1791	26	13	to	to	PART
bcpe-1791	26	14	choose	choose	VERB
bcpe-1791	26	15	a	a	DET
bcpe-1791	26	16	strategy	strategy	NOUN
bcpe-1791	26	17	after	after	ADP
bcpe-1791	26	18	fully	fully	ADV
bcpe-1791	26	19	understanding	understand	VERB
bcpe-1791	26	20	the	the	DET
bcpe-1791	26	21	meaning	meaning	NOUN
bcpe-1791	26	22	of	of	ADP
bcpe-1791	26	23	the	the	DET
bcpe-1791	26	24	question	question	NOUN
bcpe-1791	26	25	.	.	PUNCT
bcpe-1791	27	1	it	it	PRON
bcpe-1791	27	2	is	be	AUX
bcpe-1791	27	3	essential	essential	ADJ
bcpe-1791	27	4	to	to	PART
bcpe-1791	27	5	choose	choose	VERB
bcpe-1791	27	6	a	a	DET
bcpe-1791	27	7	more	more	ADV
bcpe-1791	27	8	concise	concise	ADJ
bcpe-1791	27	9	operation	operation	NOUN
bcpe-1791	27	10	method	method	NOUN
bcpe-1791	27	11	according	accord	VERB
bcpe-1791	27	12	to	to	ADP
bcpe-1791	27	13	different	different	ADJ
bcpe-1791	27	14	operation	operation	NOUN
bcpe-1791	27	15	properties	property	NOUN
bcpe-1791	27	16	.	.	PUNCT
bcpe-1791	28	1	2.2	2.2	NUM
bcpe-1791	28	2	the	the	DET
bcpe-1791	28	3	importance	importance	NOUN
bcpe-1791	28	4	of	of	ADP
bcpe-1791	28	5	conic	conic	ADJ
bcpe-1791	28	6	section	section	NOUN
bcpe-1791	28	7	in	in	ADP
bcpe-1791	28	8	high	high	ADJ
bcpe-1791	28	9	school	school	NOUN
bcpe-1791	28	10	mathematics	mathematic	NOUN
bcpe-1791	28	11	teaching	teaching	NOUN
bcpe-1791	28	12	and	and	CCONJ
bcpe-1791	28	13	problem	problem	NOUN
bcpe-1791	28	14	identification	identification	NOUN
bcpe-1791	28	15	in	in	ADP
bcpe-1791	28	16	the	the	DET
bcpe-1791	28	17	"	"	PUNCT
bcpe-1791	28	18	general	general	ADJ
bcpe-1791	28	19	high	high	ADJ
bcpe-1791	28	20	school	school	NOUN
bcpe-1791	28	21	mathematics	mathematic	NOUN
bcpe-1791	28	22	curriculum	curriculum	NOUN
bcpe-1791	28	23	standard	standard	NOUN
bcpe-1791	28	24	(	(	PUNCT
bcpe-1791	28	25	2017	2017	NUM
bcpe-1791	28	26	edition	edition	NOUN
bcpe-1791	28	27	)	)	PUNCT
bcpe-1791	28	28	"	"	PUNCT
bcpe-1791	29	1	[	[	X
bcpe-1791	29	2	3	3	NUM
bcpe-1791	29	3	]	]	PUNCT
bcpe-1791	29	4	,	,	PUNCT
bcpe-1791	29	5	there	there	PRON
bcpe-1791	29	6	are	be	VERB
bcpe-1791	29	7	the	the	DET
bcpe-1791	29	8	following	follow	VERB
bcpe-1791	29	9	requirements	requirement	NOUN
bcpe-1791	29	10	for	for	ADP
bcpe-1791	29	11	the	the	DET
bcpe-1791	29	12	conic	conic	ADJ
bcpe-1791	29	13	section	section	NOUN
bcpe-1791	29	14	:	:	PUNCT
bcpe-1791	29	15	be	be	AUX
bcpe-1791	29	16	able	able	ADJ
bcpe-1791	29	17	to	to	PART
bcpe-1791	29	18	establish	establish	VERB
bcpe-1791	29	19	the	the	DET
bcpe-1791	29	20	equations	equation	NOUN
bcpe-1791	29	21	of	of	ADP
bcpe-1791	29	22	plane	plane	NOUN
bcpe-1791	29	23	lines	line	NOUN
bcpe-1791	29	24	and	and	CCONJ
bcpe-1791	29	25	circles	circle	NOUN
bcpe-1791	29	26	according	accord	VERB
bcpe-1791	29	27	to	to	ADP
bcpe-1791	29	28	different	different	ADJ
bcpe-1791	29	29	situations	situation	NOUN
bcpe-1791	29	30	,	,	PUNCT
bcpe-1791	29	31	establish	establish	VERB
bcpe-1791	29	32	the	the	DET
bcpe-1791	29	33	standard	standard	ADJ
bcpe-1791	29	34	equations	equation	NOUN
bcpe-1791	29	35	of	of	ADP
bcpe-1791	29	36	the	the	DET
bcpe-1791	29	37	ellipse	ellipse	NOUN
bcpe-1791	29	38	,	,	PUNCT
bcpe-1791	29	39	parabola	parabola	NOUN
bcpe-1791	29	40	,	,	PUNCT
bcpe-1791	29	41	and	and	CCONJ
bcpe-1791	29	42	hyperbola	hyperbola	PROPN
bcpe-1791	29	43	,	,	PUNCT
bcpe-1791	29	44	be	be	AUX
bcpe-1791	29	45	able	able	ADJ
bcpe-1791	29	46	to	to	PART
bcpe-1791	29	47	use	use	VERB
bcpe-1791	29	48	algebraic	algebraic	ADJ
bcpe-1791	29	49	methods	method	NOUN
bcpe-1791	29	50	to	to	PART
bcpe-1791	29	51	study	study	VERB
bcpe-1791	29	52	the	the	DET
bcpe-1791	29	53	basic	basic	ADJ
bcpe-1791	29	54	relationship	relationship	NOUN
bcpe-1791	29	55	between	between	ADP
bcpe-1791	29	56	the	the	DET
bcpe-1791	29	57	above	above	ADJ
bcpe-1791	29	58	curves	curve	NOUN
bcpe-1791	29	59	,	,	PUNCT
bcpe-1791	29	60	and	and	CCONJ
bcpe-1791	29	61	be	be	AUX
bcpe-1791	29	62	able	able	ADJ
bcpe-1791	29	63	to	to	PART
bcpe-1791	29	64	solve	solve	VERB
bcpe-1791	29	65	some	some	DET
bcpe-1791	29	66	simple	simple	ADJ
bcpe-1791	29	67	,	,	PUNCT
bcpe-1791	29	68	practical	practical	ADJ
bcpe-1791	29	69	problems	problem	NOUN
bcpe-1791	29	70	using	use	VERB
bcpe-1791	29	71	the	the	DET
bcpe-1791	29	72	idea	idea	NOUN
bcpe-1791	29	73	of	of	ADP
bcpe-1791	29	74	plane	plane	NOUN
bcpe-1791	29	75	analytic	analytic	ADJ
bcpe-1791	29	76	geometry	geometry	NOUN
bcpe-1791	29	77	.	.	PUNCT
bcpe-1791	30	1	focus	focus	VERB
bcpe-1791	30	2	on	on	ADP
bcpe-1791	30	3	improving	improve	VERB
bcpe-1791	30	4	the	the	DET
bcpe-1791	30	5	literacy	literacy	NOUN
bcpe-1791	30	6	of	of	ADP
bcpe-1791	30	7	intuitive	intuitive	ADJ
bcpe-1791	30	8	imagination	imagination	NOUN
bcpe-1791	30	9	,	,	PUNCT
bcpe-1791	30	10	mathematical	mathematical	ADJ
bcpe-1791	30	11	operations	operation	NOUN
bcpe-1791	30	12	,	,	PUNCT
bcpe-1791	30	13	mathematical	mathematical	ADJ
bcpe-1791	30	14	modeling	modeling	NOUN
bcpe-1791	30	15	,	,	PUNCT
bcpe-1791	30	16	logical	logical	ADJ
bcpe-1791	30	17	reasoning	reasoning	NOUN
bcpe-1791	30	18	,	,	PUNCT
bcpe-1791	30	19	and	and	CCONJ
bcpe-1791	30	20	mathematical	mathematical	ADJ
bcpe-1791	30	21	abstraction	abstraction	NOUN
bcpe-1791	30	22	.	.	PUNCT
bcpe-1791	31	1	therefore	therefore	ADV
bcpe-1791	31	2	,	,	PUNCT
bcpe-1791	31	3	the	the	DET
bcpe-1791	31	4	conic	conic	ADJ
bcpe-1791	31	5	section	section	NOUN
bcpe-1791	31	6	is	be	AUX
bcpe-1791	31	7	an	an	DET
bcpe-1791	31	8	indispensable	indispensable	ADJ
bcpe-1791	31	9	link	link	NOUN
bcpe-1791	31	10	in	in	ADP
bcpe-1791	31	11	high	high	ADJ
bcpe-1791	31	12	school	school	NOUN
bcpe-1791	31	13	mathematics	mathematic	NOUN
bcpe-1791	31	14	teaching	teaching	NOUN
bcpe-1791	31	15	,	,	PUNCT
bcpe-1791	31	16	and	and	CCONJ
bcpe-1791	31	17	mathematical	mathematical	ADJ
bcpe-1791	31	18	operation	operation	NOUN
bcpe-1791	31	19	ability	ability	NOUN
bcpe-1791	31	20	is	be	AUX
bcpe-1791	31	21	essential	essential	ADJ
bcpe-1791	31	22	for	for	ADP
bcpe-1791	31	23	solving	solve	VERB
bcpe-1791	31	24	problems	problem	NOUN
bcpe-1791	31	25	.	.	PUNCT
bcpe-1791	32	1	"	"	PUNCT
bcpe-1791	32	2	general	general	ADJ
bcpe-1791	32	3	high	high	ADJ
bcpe-1791	32	4	school	school	NOUN
bcpe-1791	32	5	mathematics	mathematic	NOUN
bcpe-1791	32	6	curriculum	curriculum	NOUN
bcpe-1791	32	7	standards	standard	NOUN
bcpe-1791	32	8	(	(	PUNCT
bcpe-1791	32	9	2017	2017	NUM
bcpe-1791	32	10	edition	edition	NOUN
bcpe-1791	32	11	)	)	PUNCT
bcpe-1791	32	12	"	"	PUNCT
bcpe-1791	33	1	[	[	X
bcpe-1791	33	2	4	4	X
bcpe-1791	33	3	]	]	PUNCT
bcpe-1791	33	4	pointed	point	VERB
bcpe-1791	33	5	out	out	ADP
bcpe-1791	33	6	that	that	SCONJ
bcpe-1791	33	7	the	the	DET
bcpe-1791	33	8	senior	senior	ADJ
bcpe-1791	33	9	high	high	ADJ
bcpe-1791	33	10	school	school	NOUN
bcpe-1791	33	11	mathematics	mathematic	NOUN
bcpe-1791	33	12	curriculum	curriculum	NOUN
bcpe-1791	33	13	is	be	AUX
bcpe-1791	33	14	the	the	DET
bcpe-1791	33	15	main	main	ADJ
bcpe-1791	33	16	curriculum	curriculum	NOUN
bcpe-1791	33	17	of	of	ADP
bcpe-1791	33	18	public	public	ADJ
bcpe-1791	33	19	senior	senior	ADJ
bcpe-1791	33	20	high	high	ADJ
bcpe-1791	33	21	schools	school	NOUN
bcpe-1791	33	22	,	,	PUNCT
bcpe-1791	33	23	which	which	PRON
bcpe-1791	33	24	is	be	AUX
bcpe-1791	33	25	basic	basic	ADJ
bcpe-1791	33	26	,	,	PUNCT
bcpe-1791	33	27	selective	selective	ADJ
bcpe-1791	33	28	,	,	PUNCT
bcpe-1791	33	29	and	and	CCONJ
bcpe-1791	33	30	developmental	developmental	NOUN
bcpe-1791	33	31	,	,	PUNCT
bcpe-1791	33	32	creating	create	VERB
bcpe-1791	33	33	conditions	condition	NOUN
bcpe-1791	33	34	for	for	ADP
bcpe-1791	33	35	students	student	NOUN
bcpe-1791	33	36	'	'	PART
bcpe-1791	33	37	sustainable	sustainable	ADJ
bcpe-1791	33	38	development	development	NOUN
bcpe-1791	33	39	and	and	CCONJ
bcpe-1791	33	40	lifelong	lifelong	ADJ
bcpe-1791	33	41	learning	learning	NOUN
bcpe-1791	33	42	.	.	PUNCT
bcpe-1791	34	1	under	under	ADP
bcpe-1791	34	2	the	the	DET
bcpe-1791	34	3	"	"	PUNCT
bcpe-1791	34	4	new	new	ADJ
bcpe-1791	34	5	college	college	NOUN
bcpe-1791	34	6	entrance	entrance	NOUN
bcpe-1791	34	7	examination	examination	NOUN
bcpe-1791	34	8	"	"	PUNCT
bcpe-1791	34	9	background	background	NOUN
bcpe-1791	34	10	,	,	PUNCT
bcpe-1791	34	11	the	the	DET
bcpe-1791	34	12	conic	conic	ADJ
bcpe-1791	34	13	section	section	NOUN
bcpe-1791	34	14	is	be	AUX
bcpe-1791	34	15	arranged	arrange	VERB
bcpe-1791	34	16	in	in	ADP
bcpe-1791	34	17	the	the	DET
bcpe-1791	34	18	subject	subject	NOUN
bcpe-1791	34	19	of	of	ADP
bcpe-1791	34	20	"	"	PUNCT
bcpe-1791	34	21	geometry	geometry	NOUN
bcpe-1791	34	22	and	and	CCONJ
bcpe-1791	34	23	algebra	algebra	NOUN
bcpe-1791	34	24	"	"	PUNCT
bcpe-1791	34	25	in	in	ADP
bcpe-1791	34	26	the	the	DET
bcpe-1791	34	27	optional	optional	ADJ
bcpe-1791	34	28	compulsory	compulsory	ADJ
bcpe-1791	34	29	course	course	NOUN
bcpe-1791	34	30	.	.	PUNCT
bcpe-1791	35	1	according	accord	VERB
bcpe-1791	35	2	to	to	ADP
bcpe-1791	35	3	the	the	DET
bcpe-1791	35	4	requirements	requirement	NOUN
bcpe-1791	35	5	of	of	ADP
bcpe-1791	35	6	the	the	DET
bcpe-1791	35	7	course	course	NOUN
bcpe-1791	35	8	standard	standard	NOUN
bcpe-1791	35	9	,	,	PUNCT
bcpe-1791	35	10	if	if	SCONJ
bcpe-1791	35	11	students	student	NOUN
bcpe-1791	35	12	want	want	VERB
bcpe-1791	35	13	to	to	PART
bcpe-1791	35	14	continue	continue	VERB
bcpe-1791	35	15	their	their	PRON
bcpe-1791	35	16	studies	study	NOUN
bcpe-1791	35	17	in	in	ADP
bcpe-1791	35	18	colleges	college	NOUN
bcpe-1791	35	19	and	and	CCONJ
bcpe-1791	35	20	universities	university	NOUN
bcpe-1791	35	21	in	in	ADP
bcpe-1791	35	22	the	the	DET
bcpe-1791	35	23	future	future	NOUN
bcpe-1791	35	24	,	,	PUNCT
bcpe-1791	35	25	they	they	PRON
bcpe-1791	35	26	must	must	AUX
bcpe-1791	35	27	study	study	VERB
bcpe-1791	35	28	the	the	DET
bcpe-1791	35	29	optional	optional	ADJ
bcpe-1791	35	30	compulsory	compulsory	ADJ
bcpe-1791	35	31	courses	course	NOUN
bcpe-1791	35	32	,	,	PUNCT
bcpe-1791	35	33	that	that	ADV
bcpe-1791	35	34	is	is	ADV
bcpe-1791	35	35	,	,	PUNCT
bcpe-1791	35	36	everyone	everyone	PRON
bcpe-1791	35	37	needs	need	VERB
bcpe-1791	35	38	to	to	PART
bcpe-1791	35	39	learn	learn	VERB
bcpe-1791	35	40	conic	conic	ADJ
bcpe-1791	35	41	sections	section	NOUN
bcpe-1791	35	42	and	and	CCONJ
bcpe-1791	35	43	no	no	ADV
bcpe-1791	35	44	longer	long	ADV
bcpe-1791	35	45	require	require	VERB
bcpe-1791	35	46	liberal	liberal	ADJ
bcpe-1791	35	47	arts	art	NOUN
bcpe-1791	35	48	and	and	CCONJ
bcpe-1791	35	49	sciences	science	NOUN
bcpe-1791	35	50	.	.	PUNCT
bcpe-1791	36	1	the	the	DET
bcpe-1791	36	2	conic	conic	ADJ
bcpe-1791	36	3	section	section	NOUN
bcpe-1791	36	4	is	be	AUX
bcpe-1791	36	5	an	an	DET
bcpe-1791	36	6	in	in	ADP
bcpe-1791	36	7	-	-	PUNCT
bcpe-1791	36	8	depth	depth	NOUN
bcpe-1791	36	9	study	study	NOUN
bcpe-1791	36	10	of	of	ADP
bcpe-1791	36	11	plane	plane	NOUN
bcpe-1791	36	12	analytic	analytic	ADJ
bcpe-1791	36	13	geometry	geometry	NOUN
bcpe-1791	36	14	based	base	VERB
bcpe-1791	36	15	on	on	ADP
bcpe-1791	36	16	the	the	DET
bcpe-1791	36	17	students	student	NOUN
bcpe-1791	36	18	'	'	PART
bcpe-1791	36	19	knowledge	knowledge	NOUN
bcpe-1791	36	20	of	of	ADP
bcpe-1791	36	21	straight	straight	ADJ
bcpe-1791	36	22	lines	line	NOUN
bcpe-1791	36	23	and	and	CCONJ
bcpe-1791	36	24	circles	circle	NOUN
bcpe-1791	36	25	.	.	PUNCT
bcpe-1791	37	1	the	the	DET
bcpe-1791	37	2	conic	conic	ADJ
bcpe-1791	37	3	section	section	NOUN
bcpe-1791	37	4	studies	study	NOUN
bcpe-1791	37	5	curves	curve	NOUN
bcpe-1791	37	6	and	and	CCONJ
bcpe-1791	37	7	equations	equation	NOUN
bcpe-1791	37	8	,	,	PUNCT
bcpe-1791	37	9	definitions	definition	NOUN
bcpe-1791	37	10	of	of	ADP
bcpe-1791	37	11	ellipses	ellipsis	NOUN
bcpe-1791	37	12	,	,	PUNCT
bcpe-1791	37	13	hyperbolas	hyperbola	NOUN
bcpe-1791	37	14	,	,	PUNCT
bcpe-1791	37	15	parabolas	parabola	NOUN
bcpe-1791	37	16	,	,	PUNCT
bcpe-1791	37	17	standard	standard	ADJ
bcpe-1791	37	18	equations	equation	NOUN
bcpe-1791	37	19	,	,	PUNCT
bcpe-1791	37	20	and	and	CCONJ
bcpe-1791	37	21	simple	simple	ADJ
bcpe-1791	37	22	geometric	geometric	ADJ
bcpe-1791	37	23	properties	property	NOUN
bcpe-1791	37	24	and	and	CCONJ
bcpe-1791	37	25	examines	examine	VERB
bcpe-1791	37	26	them	they	PRON
bcpe-1791	37	27	together	together	ADV
bcpe-1791	37	28	with	with	ADP
bcpe-1791	37	29	what	what	PRON
bcpe-1791	37	30	you	you	PRON
bcpe-1791	37	31	have	have	AUX
bcpe-1791	37	32	learned	learn	VERB
bcpe-1791	37	33	about	about	ADP
bcpe-1791	37	34	plane	plane	NOUN
bcpe-1791	37	35	geometry	geometry	NOUN
bcpe-1791	37	36	.	.	PUNCT
bcpe-1791	38	1	therefore	therefore	ADV
bcpe-1791	38	2	,	,	PUNCT
bcpe-1791	38	3	the	the	DET
bcpe-1791	38	4	learning	learning	NOUN
bcpe-1791	38	5	of	of	ADP
bcpe-1791	38	6	conic	conic	ADJ
bcpe-1791	38	7	section	section	NOUN
bcpe-1791	38	8	content	content	NOUN
bcpe-1791	38	9	has	have	VERB
bcpe-1791	38	10	relatively	relatively	ADV
bcpe-1791	38	11	high	high	ADJ
bcpe-1791	38	12	requirements	requirement	NOUN
bcpe-1791	38	13	on	on	ADP
bcpe-1791	38	14	students	student	NOUN
bcpe-1791	38	15	'	'	PART
bcpe-1791	38	16	comprehensive	comprehensive	ADJ
bcpe-1791	38	17	level	level	NOUN
bcpe-1791	38	18	and	and	CCONJ
bcpe-1791	38	19	can	can	AUX
bcpe-1791	38	20	also	also	ADV
bcpe-1791	38	21	improve	improve	VERB
bcpe-1791	38	22	students	student	NOUN
bcpe-1791	38	23	'	'	PART
bcpe-1791	38	24	mathematical	mathematical	ADJ
bcpe-1791	38	25	thinking	thinking	NOUN
bcpe-1791	38	26	ability	ability	NOUN
bcpe-1791	38	27	and	and	CCONJ
bcpe-1791	38	28	logical	logical	ADJ
bcpe-1791	38	29	ability	ability	NOUN
bcpe-1791	38	30	.	.	PUNCT
bcpe-1791	39	1	the	the	DET
bcpe-1791	39	2	study	study	NOUN
bcpe-1791	39	3	of	of	ADP
bcpe-1791	39	4	the	the	DET
bcpe-1791	39	5	conic	conic	ADJ
bcpe-1791	39	6	section	section	NOUN
bcpe-1791	39	7	is	be	AUX
bcpe-1791	39	8	also	also	ADV
bcpe-1791	39	9	very	very	ADV
bcpe-1791	39	10	comprehensive	comprehensive	ADJ
bcpe-1791	39	11	,	,	PUNCT
bcpe-1791	39	12	the	the	DET
bcpe-1791	39	13	knowledge	knowledge	NOUN
bcpe-1791	39	14	you	you	PRON
bcpe-1791	39	15	have	have	AUX
bcpe-1791	39	16	learned	learn	VERB
bcpe-1791	39	17	before	before	ADV
bcpe-1791	39	18	is	be	AUX
bcpe-1791	39	19	often	often	ADV
bcpe-1791	39	20	used	use	VERB
bcpe-1791	39	21	,	,	PUNCT
bcpe-1791	39	22	and	and	CCONJ
bcpe-1791	39	23	the	the	DET
bcpe-1791	39	24	requirements	requirement	NOUN
bcpe-1791	39	25	for	for	ADP
bcpe-1791	39	26	students	student	NOUN
bcpe-1791	39	27	'	'	PART
bcpe-1791	39	28	knowledge	knowledge	NOUN
bcpe-1791	39	29	and	and	CCONJ
bcpe-1791	39	30	mastery	mastery	NOUN
bcpe-1791	39	31	are	be	AUX
bcpe-1791	39	32	relatively	relatively	ADV
bcpe-1791	39	33	high	high	ADJ
bcpe-1791	39	34	,	,	PUNCT
bcpe-1791	39	35	so	so	CCONJ
bcpe-1791	39	36	the	the	DET
bcpe-1791	39	37	conic	conic	ADJ
bcpe-1791	39	38	section	section	NOUN
bcpe-1791	39	39	has	have	AUX
bcpe-1791	39	40	always	always	ADV
bcpe-1791	39	41	been	be	AUX
bcpe-1791	39	42	a	a	DET
bcpe-1791	39	43	problematic	problematic	ADJ
bcpe-1791	39	44	content	content	NOUN
bcpe-1791	39	45	for	for	SCONJ
bcpe-1791	39	46	students	student	NOUN
bcpe-1791	39	47	to	to	PART
bcpe-1791	39	48	master	master	VERB
bcpe-1791	39	49	.	.	PUNCT
bcpe-1791	40	1	the	the	DET
bcpe-1791	40	2	conic	conic	ADJ
bcpe-1791	40	3	section	section	NOUN
bcpe-1791	40	4	can	can	AUX
bcpe-1791	40	5	be	be	AUX
bcpe-1791	40	6	a	a	DET
bcpe-1791	40	7	good	good	ADJ
bcpe-1791	40	8	test	test	NOUN
bcpe-1791	40	9	of	of	ADP
bcpe-1791	40	10	students	student	NOUN
bcpe-1791	40	11	'	'	PART
bcpe-1791	40	12	mathematical	mathematical	ADJ
bcpe-1791	40	13	ability	ability	NOUN
bcpe-1791	40	14	,	,	PUNCT
bcpe-1791	40	15	so	so	SCONJ
bcpe-1791	40	16	it	it	PRON
bcpe-1791	40	17	has	have	AUX
bcpe-1791	40	18	always	always	ADV
bcpe-1791	40	19	been	be	AUX
bcpe-1791	40	20	the	the	DET
bcpe-1791	40	21	key	key	ADJ
bcpe-1791	40	22	test	test	NOUN
bcpe-1791	40	23	object	object	NOUN
bcpe-1791	40	24	in	in	ADP
bcpe-1791	40	25	the	the	DET
bcpe-1791	40	26	college	college	NOUN
bcpe-1791	40	27	entrance	entrance	NOUN
bcpe-1791	40	28	examination	examination	NOUN
bcpe-1791	40	29	.	.	PUNCT
bcpe-1791	41	1	to	to	PART
bcpe-1791	41	2	sum	sum	VERB
bcpe-1791	41	3	up	up	ADP
bcpe-1791	41	4	,	,	PUNCT
bcpe-1791	41	5	the	the	DET
bcpe-1791	41	6	problem	problem	NOUN
bcpe-1791	41	7	-	-	PUNCT
bcpe-1791	41	8	solving	solve	VERB
bcpe-1791	41	9	teaching	teaching	NOUN
bcpe-1791	41	10	of	of	ADP
bcpe-1791	41	11	the	the	DET
bcpe-1791	41	12	conic	conic	ADJ
bcpe-1791	41	13	section	section	NOUN
bcpe-1791	41	14	is	be	AUX
bcpe-1791	41	15	the	the	DET
bcpe-1791	41	16	key	key	ADJ
bcpe-1791	41	17	and	and	CCONJ
bcpe-1791	41	18	challenging	challenging	ADJ
bcpe-1791	41	19	point	point	NOUN
bcpe-1791	41	20	of	of	ADP
bcpe-1791	41	21	teaching	teaching	NOUN
bcpe-1791	41	22	,	,	PUNCT
bcpe-1791	41	23	and	and	CCONJ
bcpe-1791	41	24	it	it	PRON
bcpe-1791	41	25	has	have	VERB
bcpe-1791	41	26	important	important	ADJ
bcpe-1791	41	27	research	research	NOUN
bcpe-1791	41	28	value	value	NOUN
bcpe-1791	41	29	.	.	PUNCT
bcpe-1791	42	1	by	by	ADP
bcpe-1791	42	2	consulting	consult	VERB
bcpe-1791	42	3	relevant	relevant	ADJ
bcpe-1791	42	4	literature	literature	NOUN
bcpe-1791	42	5	and	and	CCONJ
bcpe-1791	42	6	accumulated	accumulate	VERB
bcpe-1791	42	7	experience	experience	NOUN
bcpe-1791	42	8	in	in	ADP
bcpe-1791	42	9	teaching	teach	VERB
bcpe-1791	42	10	research	research	NOUN
bcpe-1791	42	11	,	,	PUNCT
bcpe-1791	42	12	the	the	DET
bcpe-1791	42	13	author	author	NOUN
bcpe-1791	42	14	summarizes	summarize	VERB
bcpe-1791	42	15	some	some	DET
bcpe-1791	42	16	common	common	ADJ
bcpe-1791	42	17	problems	problem	NOUN
bcpe-1791	42	18	in	in	ADP
bcpe-1791	42	19	high	high	ADJ
bcpe-1791	42	20	school	school	NOUN
bcpe-1791	42	21	classrooms	classroom	NOUN
bcpe-1791	42	22	exposed	expose	VERB
bcpe-1791	42	23	by	by	ADP
bcpe-1791	42	24	the	the	DET
bcpe-1791	42	25	teaching	teaching	NOUN
bcpe-1791	42	26	of	of	ADP
bcpe-1791	42	27	conic	conic	ADJ
bcpe-1791	42	28	section	section	NOUN
bcpe-1791	42	29	problem	problem	NOUN
bcpe-1791	42	30	-	-	PUNCT
bcpe-1791	42	31	solving	solving	NOUN
bcpe-1791	42	32	.	.	PUNCT
bcpe-1791	43	1	the	the	DET
bcpe-1791	43	2	reasons	reason	NOUN
bcpe-1791	43	3	are	be	AUX
bcpe-1791	43	4	discussed	discuss	VERB
bcpe-1791	43	5	as	as	SCONJ
bcpe-1791	43	6	follows	follow	VERB
bcpe-1791	43	7	.	.	PUNCT
bcpe-1791	44	1	firstly	firstly	ADV
bcpe-1791	44	2	,	,	PUNCT
bcpe-1791	44	3	the	the	DET
bcpe-1791	44	4	ability	ability	NOUN
bcpe-1791	44	5	of	of	ADP
bcpe-1791	44	6	mathematical	mathematical	ADJ
bcpe-1791	44	7	operation	operation	NOUN
bcpe-1791	44	8	is	be	AUX
bcpe-1791	44	9	insufficient	insufficient	ADJ
bcpe-1791	44	10	.	.	PUNCT
bcpe-1791	45	1	most	most	ADJ
bcpe-1791	45	2	students	student	NOUN
bcpe-1791	45	3	'	'	PART
bcpe-1791	45	4	mathematical	mathematical	ADJ
bcpe-1791	45	5	operation	operation	NOUN
bcpe-1791	45	6	ability	ability	NOUN
bcpe-1791	45	7	in	in	ADP
bcpe-1791	45	8	junior	junior	ADJ
bcpe-1791	45	9	high	high	ADJ
bcpe-1791	45	10	school	school	NOUN
bcpe-1791	45	11	is	be	AUX
bcpe-1791	45	12	not	not	PART
bcpe-1791	45	13	bcp	bcp	NOUN
bcpe-1791	45	14	education	education	PROPN
bcpe-1791	45	15	&	&	CCONJ
bcpe-1791	45	16	psychology	psychology	PROPN
bcpe-1791	45	17	erhss	erhss	PROPN
bcpe-1791	45	18	2022	2022	NUM
bcpe-1791	45	19	volume	volume	NOUN
bcpe-1791	45	20	6	6	NUM
bcpe-1791	45	21	(	(	PUNCT
bcpe-1791	45	22	2022	2022	NUM
bcpe-1791	45	23	)	)	PUNCT
bcpe-1791	45	24	209	209	NUM
bcpe-1791	45	25	solid	solid	ADJ
bcpe-1791	45	26	,	,	PUNCT
bcpe-1791	45	27	and	and	CCONJ
bcpe-1791	45	28	when	when	SCONJ
bcpe-1791	45	29	they	they	PRON
bcpe-1791	45	30	encounter	encounter	VERB
bcpe-1791	45	31	more	more	ADJ
bcpe-1791	45	32	complex	complex	ADJ
bcpe-1791	45	33	operations	operation	NOUN
bcpe-1791	45	34	in	in	ADP
bcpe-1791	45	35	high	high	ADJ
bcpe-1791	45	36	school	school	NOUN
bcpe-1791	45	37	,	,	PUNCT
bcpe-1791	45	38	they	they	PRON
bcpe-1791	45	39	are	be	AUX
bcpe-1791	45	40	often	often	ADV
bcpe-1791	45	41	unable	unable	ADJ
bcpe-1791	45	42	to	to	PART
bcpe-1791	45	43	perform	perform	VERB
bcpe-1791	45	44	.	.	PUNCT
bcpe-1791	46	1	secondly	secondly	ADV
bcpe-1791	46	2	,	,	PUNCT
bcpe-1791	46	3	the	the	DET
bcpe-1791	46	4	geometric	geometric	ADJ
bcpe-1791	46	5	transformation	transformation	NOUN
bcpe-1791	46	6	ability	ability	NOUN
bcpe-1791	46	7	is	be	AUX
bcpe-1791	46	8	weak	weak	ADJ
bcpe-1791	46	9	,	,	PUNCT
bcpe-1791	46	10	and	and	CCONJ
bcpe-1791	46	11	most	most	ADJ
bcpe-1791	46	12	students	student	NOUN
bcpe-1791	46	13	have	have	VERB
bcpe-1791	46	14	a	a	DET
bcpe-1791	46	15	poor	poor	ADJ
bcpe-1791	46	16	grasp	grasp	NOUN
bcpe-1791	46	17	of	of	ADP
bcpe-1791	46	18	the	the	DET
bcpe-1791	46	19	knowledge	knowledge	NOUN
bcpe-1791	46	20	of	of	ADP
bcpe-1791	46	21	plane	plane	NOUN
bcpe-1791	46	22	geometry	geometry	NOUN
bcpe-1791	46	23	in	in	ADP
bcpe-1791	46	24	junior	junior	ADJ
bcpe-1791	46	25	high	high	ADJ
bcpe-1791	46	26	school	school	NOUN
bcpe-1791	46	27	.	.	PUNCT
bcpe-1791	47	1	thirdly	thirdly	ADV
bcpe-1791	47	2	,	,	PUNCT
bcpe-1791	47	3	it	it	PRON
bcpe-1791	47	4	lacks	lack	VERB
bcpe-1791	47	5	mathematical	mathematical	ADJ
bcpe-1791	47	6	thinking	thinking	NOUN
bcpe-1791	47	7	and	and	CCONJ
bcpe-1791	47	8	does	do	AUX
bcpe-1791	47	9	not	not	PART
bcpe-1791	47	10	know	know	VERB
bcpe-1791	47	11	how	how	SCONJ
bcpe-1791	47	12	to	to	PART
bcpe-1791	47	13	apply	apply	VERB
bcpe-1791	47	14	the	the	DET
bcpe-1791	47	15	corresponding	corresponding	ADJ
bcpe-1791	47	16	mathematical	mathematical	ADJ
bcpe-1791	47	17	thinking	thinking	NOUN
bcpe-1791	47	18	methods	method	NOUN
bcpe-1791	47	19	when	when	SCONJ
bcpe-1791	47	20	solving	solve	VERB
bcpe-1791	47	21	problems	problem	NOUN
bcpe-1791	47	22	.	.	PUNCT
bcpe-1791	48	1	fourthly	fourthly	ADV
bcpe-1791	48	2	,	,	PUNCT
bcpe-1791	48	3	they	they	PRON
bcpe-1791	48	4	have	have	VERB
bcpe-1791	48	5	a	a	DET
bcpe-1791	48	6	feeling	feeling	NOUN
bcpe-1791	48	7	of	of	ADP
bcpe-1791	48	8	fear	fear	NOUN
bcpe-1791	48	9	of	of	ADP
bcpe-1791	48	10	difficulties	difficulty	NOUN
bcpe-1791	48	11	and	and	CCONJ
bcpe-1791	48	12	tend	tend	VERB
bcpe-1791	48	13	to	to	PART
bcpe-1791	48	14	choose	choose	VERB
bcpe-1791	48	15	simple	simple	ADJ
bcpe-1791	48	16	problemsolving	problemsolving	NOUN
bcpe-1791	48	17	methods	method	NOUN
bcpe-1791	48	18	when	when	SCONJ
bcpe-1791	48	19	encountering	encounter	VERB
bcpe-1791	48	20	complex	complex	ADJ
bcpe-1791	48	21	problems	problem	NOUN
bcpe-1791	48	22	.	.	PUNCT
bcpe-1791	49	1	fifthly	fifthly	ADV
bcpe-1791	49	2	,	,	PUNCT
bcpe-1791	49	3	the	the	DET
bcpe-1791	49	4	study	study	NOUN
bcpe-1791	49	5	method	method	NOUN
bcpe-1791	49	6	is	be	AUX
bcpe-1791	49	7	not	not	PART
bcpe-1791	49	8	appropriate	appropriate	ADJ
bcpe-1791	49	9	,	,	PUNCT
bcpe-1791	49	10	do	do	VERB
bcpe-1791	49	11	the	the	DET
bcpe-1791	49	12	questions	question	NOUN
bcpe-1791	49	13	blindly	blindly	ADV
bcpe-1791	49	14	and	and	CCONJ
bcpe-1791	49	15	do	do	AUX
bcpe-1791	49	16	not	not	PART
bcpe-1791	49	17	reflect	reflect	VERB
bcpe-1791	49	18	and	and	CCONJ
bcpe-1791	49	19	summarize	summarize	VERB
bcpe-1791	49	20	the	the	DET
bcpe-1791	49	21	question	question	NOUN
bcpe-1791	49	22	type	type	NOUN
bcpe-1791	49	23	method	method	NOUN
bcpe-1791	49	24	.	.	PUNCT
bcpe-1791	50	1	therefore	therefore	ADV
bcpe-1791	50	2	,	,	PUNCT
bcpe-1791	50	3	optimizing	optimize	VERB
bcpe-1791	50	4	problem	problem	NOUN
bcpe-1791	50	5	-	-	PUNCT
bcpe-1791	50	6	solving	solve	VERB
bcpe-1791	50	7	teaching	teaching	NOUN
bcpe-1791	50	8	and	and	CCONJ
bcpe-1791	50	9	improving	improve	VERB
bcpe-1791	50	10	students	student	NOUN
bcpe-1791	50	11	'	'	PART
bcpe-1791	50	12	mathematical	mathematical	ADJ
bcpe-1791	50	13	operation	operation	NOUN
bcpe-1791	50	14	levels	level	NOUN
bcpe-1791	50	15	has	have	AUX
bcpe-1791	50	16	become	become	VERB
bcpe-1791	50	17	an	an	DET
bcpe-1791	50	18	important	important	ADJ
bcpe-1791	50	19	teaching	teaching	NOUN
bcpe-1791	50	20	task	task	NOUN
bcpe-1791	50	21	.	.	PUNCT
bcpe-1791	51	1	3	3	X
bcpe-1791	51	2	.	.	X
bcpe-1791	51	3	the	the	DET
bcpe-1791	51	4	connection	connection	NOUN
bcpe-1791	51	5	between	between	ADP
bcpe-1791	51	6	mathematical	mathematical	ADJ
bcpe-1791	51	7	operations	operation	NOUN
bcpe-1791	51	8	and	and	CCONJ
bcpe-1791	51	9	the	the	DET
bcpe-1791	51	10	teaching	teaching	NOUN
bcpe-1791	51	11	of	of	ADP
bcpe-1791	51	12	conic	conic	ADJ
bcpe-1791	51	13	section	section	NOUN
bcpe-1791	51	14	problem	problem	NOUN
bcpe-1791	51	15	solving	solve	VERB
bcpe-1791	51	16	mathematical	mathematical	ADJ
bcpe-1791	51	17	operation	operation	NOUN
bcpe-1791	51	18	is	be	AUX
bcpe-1791	51	19	one	one	NUM
bcpe-1791	51	20	of	of	ADP
bcpe-1791	51	21	the	the	DET
bcpe-1791	51	22	six	six	NUM
bcpe-1791	51	23	core	core	NOUN
bcpe-1791	51	24	competencies	competency	NOUN
bcpe-1791	51	25	of	of	ADP
bcpe-1791	51	26	high	high	ADJ
bcpe-1791	51	27	school	school	NOUN
bcpe-1791	51	28	mathematics	mathematic	NOUN
bcpe-1791	51	29	.	.	PUNCT
bcpe-1791	52	1	if	if	SCONJ
bcpe-1791	52	2	thinking	thinking	NOUN
bcpe-1791	52	3	is	be	AUX
bcpe-1791	52	4	the	the	DET
bcpe-1791	52	5	heart	heart	NOUN
bcpe-1791	52	6	of	of	ADP
bcpe-1791	52	7	mathematics	mathematic	NOUN
bcpe-1791	52	8	,	,	PUNCT
bcpe-1791	52	9	then	then	ADV
bcpe-1791	52	10	the	the	DET
bcpe-1791	52	11	operation	operation	NOUN
bcpe-1791	52	12	is	be	AUX
bcpe-1791	52	13	the	the	DET
bcpe-1791	52	14	blood	blood	NOUN
bcpe-1791	52	15	of	of	ADP
bcpe-1791	52	16	mathematics.[8	mathematics.[8	NOUN
bcpe-1791	52	17	]	]	PUNCT
bcpe-1791	52	18	core	core	NOUN
bcpe-1791	52	19	literacy	literacy	NOUN
bcpe-1791	52	20	is	be	AUX
bcpe-1791	52	21	the	the	DET
bcpe-1791	52	22	correct	correct	ADJ
bcpe-1791	52	23	values	value	NOUN
bcpe-1791	52	24	,	,	PUNCT
bcpe-1791	52	25	essential	essential	ADJ
bcpe-1791	52	26	qualities	quality	NOUN
bcpe-1791	52	27	,	,	PUNCT
bcpe-1791	52	28	and	and	CCONJ
bcpe-1791	52	29	key	key	ADJ
bcpe-1791	52	30	abilities	ability	NOUN
bcpe-1791	52	31	that	that	PRON
bcpe-1791	52	32	students	student	NOUN
bcpe-1791	52	33	gradually	gradually	ADV
bcpe-1791	52	34	form	form	VERB
bcpe-1791	52	35	in	in	ADP
bcpe-1791	52	36	learning	learn	VERB
bcpe-1791	52	37	.	.	PUNCT
bcpe-1791	53	1	it	it	PRON
bcpe-1791	53	2	is	be	AUX
bcpe-1791	53	3	the	the	DET
bcpe-1791	53	4	organic	organic	ADJ
bcpe-1791	53	5	unity	unity	NOUN
bcpe-1791	53	6	of	of	ADP
bcpe-1791	53	7	knowledge	knowledge	NOUN
bcpe-1791	53	8	,	,	PUNCT
bcpe-1791	53	9	ability	ability	NOUN
bcpe-1791	53	10	,	,	PUNCT
bcpe-1791	53	11	thinking	thinking	NOUN
bcpe-1791	53	12	,	,	PUNCT
bcpe-1791	53	13	methods	method	NOUN
bcpe-1791	53	14	,	,	PUNCT
bcpe-1791	53	15	emotions	emotion	NOUN
bcpe-1791	53	16	,	,	PUNCT
bcpe-1791	53	17	and	and	CCONJ
bcpe-1791	53	18	values	value	NOUN
bcpe-1791	53	19	.	.	PUNCT
bcpe-1791	54	1	the	the	DET
bcpe-1791	54	2	cultivation	cultivation	NOUN
bcpe-1791	54	3	and	and	CCONJ
bcpe-1791	54	4	development	development	NOUN
bcpe-1791	54	5	of	of	ADP
bcpe-1791	54	6	core	core	NOUN
bcpe-1791	54	7	literacy	literacy	NOUN
bcpe-1791	54	8	are	be	AUX
bcpe-1791	54	9	not	not	PART
bcpe-1791	54	10	achieved	achieve	VERB
bcpe-1791	54	11	overnight	overnight	ADV
bcpe-1791	54	12	.	.	PUNCT
bcpe-1791	55	1	students	student	NOUN
bcpe-1791	55	2	'	'	PART
bcpe-1791	55	3	core	core	NOUN
bcpe-1791	55	4	literacy	literacy	NOUN
bcpe-1791	55	5	must	must	AUX
bcpe-1791	55	6	pay	pay	VERB
bcpe-1791	55	7	attention	attention	NOUN
bcpe-1791	55	8	to	to	ADP
bcpe-1791	55	9	the	the	DET
bcpe-1791	55	10	teaching	teaching	NOUN
bcpe-1791	55	11	process	process	NOUN
bcpe-1791	55	12	so	so	SCONJ
bcpe-1791	55	13	that	that	SCONJ
bcpe-1791	55	14	the	the	DET
bcpe-1791	55	15	teaching	teaching	NOUN
bcpe-1791	55	16	process	process	NOUN
bcpe-1791	55	17	becomes	become	VERB
bcpe-1791	55	18	an	an	DET
bcpe-1791	55	19	effective	effective	ADJ
bcpe-1791	55	20	carrier	carrier	NOUN
bcpe-1791	55	21	for	for	ADP
bcpe-1791	55	22	cultivating	cultivate	VERB
bcpe-1791	55	23	and	and	CCONJ
bcpe-1791	55	24	developing	develop	VERB
bcpe-1791	55	25	students	student	NOUN
bcpe-1791	55	26	'	'	PART
bcpe-1791	55	27	core	core	NOUN
bcpe-1791	55	28	literacy.[7]the	literacy.[7]the	NOUN
bcpe-1791	55	29	definition	definition	NOUN
bcpe-1791	55	30	of	of	ADP
bcpe-1791	55	31	the	the	DET
bcpe-1791	55	32	core	core	NOUN
bcpe-1791	55	33	competency	competency	NOUN
bcpe-1791	55	34	of	of	ADP
bcpe-1791	55	35	mathematical	mathematical	ADJ
bcpe-1791	55	36	operations	operation	NOUN
bcpe-1791	55	37	is	be	AUX
bcpe-1791	55	38	given	give	VERB
bcpe-1791	55	39	in	in	ADP
bcpe-1791	55	40	the	the	DET
bcpe-1791	55	41	curriculum	curriculum	NOUN
bcpe-1791	55	42	standards	standard	NOUN
bcpe-1791	55	43	:	:	PUNCT
bcpe-1791	55	44	based	base	VERB
bcpe-1791	55	45	on	on	ADP
bcpe-1791	55	46	clear	clear	ADJ
bcpe-1791	55	47	operation	operation	NOUN
bcpe-1791	55	48	objects	object	NOUN
bcpe-1791	55	49	,	,	PUNCT
bcpe-1791	55	50	the	the	DET
bcpe-1791	55	51	competencies	competency	NOUN
bcpe-1791	55	52	of	of	ADP
bcpe-1791	55	53	solving	solve	VERB
bcpe-1791	55	54	mathematical	mathematical	ADJ
bcpe-1791	55	55	problems	problem	NOUN
bcpe-1791	55	56	according	accord	VERB
bcpe-1791	55	57	to	to	ADP
bcpe-1791	55	58	the	the	DET
bcpe-1791	55	59	algorithm	algorithm	NOUN
bcpe-1791	55	60	.	.	PUNCT
bcpe-1791	56	1	through	through	ADP
bcpe-1791	56	2	the	the	DET
bcpe-1791	56	3	study	study	NOUN
bcpe-1791	56	4	of	of	ADP
bcpe-1791	56	5	high	high	ADJ
bcpe-1791	56	6	school	school	NOUN
bcpe-1791	56	7	mathematics	mathematic	NOUN
bcpe-1791	56	8	courses	course	NOUN
bcpe-1791	56	9	,	,	PUNCT
bcpe-1791	56	10	students	student	NOUN
bcpe-1791	56	11	'	'	PART
bcpe-1791	56	12	mathematical	mathematical	ADJ
bcpe-1791	56	13	operation	operation	NOUN
bcpe-1791	56	14	ability	ability	NOUN
bcpe-1791	56	15	has	have	AUX
bcpe-1791	56	16	been	be	AUX
bcpe-1791	56	17	further	far	ADV
bcpe-1791	56	18	improved	improve	VERB
bcpe-1791	56	19	,	,	PUNCT
bcpe-1791	56	20	and	and	CCONJ
bcpe-1791	56	21	they	they	PRON
bcpe-1791	56	22	can	can	AUX
bcpe-1791	56	23	effectively	effectively	ADV
bcpe-1791	56	24	solve	solve	VERB
bcpe-1791	56	25	practical	practical	ADJ
bcpe-1791	56	26	problems	problem	NOUN
bcpe-1791	56	27	with	with	ADP
bcpe-1791	56	28	the	the	DET
bcpe-1791	56	29	help	help	NOUN
bcpe-1791	56	30	of	of	ADP
bcpe-1791	56	31	operation	operation	NOUN
bcpe-1791	56	32	methods	method	NOUN
bcpe-1791	56	33	.	.	PUNCT
bcpe-1791	57	1	it	it	PRON
bcpe-1791	57	2	is	be	AUX
bcpe-1791	57	3	the	the	DET
bcpe-1791	57	4	process	process	NOUN
bcpe-1791	57	5	of	of	ADP
bcpe-1791	57	6	transforming	transform	VERB
bcpe-1791	57	7	literacy	literacy	NOUN
bcpe-1791	57	8	into	into	ADP
bcpe-1791	57	9	ability	ability	NOUN
bcpe-1791	57	10	.	.	PUNCT
bcpe-1791	58	1	finally	finally	ADV
bcpe-1791	58	2	,	,	PUNCT
bcpe-1791	58	3	through	through	ADP
bcpe-1791	58	4	operation	operation	NOUN
bcpe-1791	58	5	,	,	PUNCT
bcpe-1791	58	6	the	the	DET
bcpe-1791	58	7	development	development	NOUN
bcpe-1791	58	8	of	of	ADP
bcpe-1791	58	9	mathematical	mathematical	ADJ
bcpe-1791	58	10	thinking	thinking	NOUN
bcpe-1791	58	11	is	be	AUX
bcpe-1791	58	12	promoted	promote	VERB
bcpe-1791	58	13	,	,	PUNCT
bcpe-1791	58	14	and	and	CCONJ
bcpe-1791	58	15	the	the	DET
bcpe-1791	58	16	quality	quality	NOUN
bcpe-1791	58	17	of	of	ADP
bcpe-1791	58	18	thinking	thinking	NOUN
bcpe-1791	58	19	about	about	ADP
bcpe-1791	58	20	problems	problem	NOUN
bcpe-1791	58	21	is	be	AUX
bcpe-1791	58	22	formed	form	VERB
bcpe-1791	58	23	to	to	PART
bcpe-1791	58	24	create	create	VERB
bcpe-1791	58	25	a	a	DET
bcpe-1791	58	26	meticulous	meticulous	ADJ
bcpe-1791	58	27	,	,	PUNCT
bcpe-1791	58	28	rigorous	rigorous	ADJ
bcpe-1791	58	29	,	,	PUNCT
bcpe-1791	58	30	and	and	CCONJ
bcpe-1791	58	31	realistic	realistic	ADJ
bcpe-1791	58	32	scientific	scientific	ADJ
bcpe-1791	58	33	spirit	spirit	NOUN
bcpe-1791	58	34	.	.	PUNCT
bcpe-1791	59	1	mathematical	mathematical	ADJ
bcpe-1791	59	2	operation	operation	NOUN
bcpe-1791	59	3	is	be	AUX
bcpe-1791	59	4	a	a	DET
bcpe-1791	59	5	process	process	NOUN
bcpe-1791	59	6	in	in	ADP
bcpe-1791	59	7	which	which	PRON
bcpe-1791	59	8	conjectures	conjecture	VERB
bcpe-1791	59	9	and	and	CCONJ
bcpe-1791	59	10	ideas	idea	NOUN
bcpe-1791	59	11	are	be	AUX
bcpe-1791	59	12	verified	verify	VERB
bcpe-1791	59	13	and	and	CCONJ
bcpe-1791	59	14	is	be	AUX
bcpe-1791	59	15	a	a	DET
bcpe-1791	59	16	practical	practical	ADJ
bcpe-1791	59	17	result	result	NOUN
bcpe-1791	59	18	of	of	ADP
bcpe-1791	59	19	internalizing	internalize	VERB
bcpe-1791	59	20	theories	theory	NOUN
bcpe-1791	59	21	in	in	ADP
bcpe-1791	59	22	the	the	DET
bcpe-1791	59	23	face	face	NOUN
bcpe-1791	59	24	of	of	ADP
bcpe-1791	59	25	complex	complex	ADJ
bcpe-1791	59	26	problems	problem	NOUN
bcpe-1791	59	27	.	.	PUNCT
bcpe-1791	60	1	it	it	PRON
bcpe-1791	60	2	is	be	AUX
bcpe-1791	60	3	pointed	point	VERB
bcpe-1791	60	4	out	out	ADP
bcpe-1791	60	5	in	in	ADP
bcpe-1791	60	6	the	the	DET
bcpe-1791	60	7	"	"	PUNCT
bcpe-1791	60	8	2019	2019	NUM
bcpe-1791	60	9	national	national	ADJ
bcpe-1791	60	10	unified	unified	ADJ
bcpe-1791	60	11	examination	examination	NOUN
bcpe-1791	60	12	syllabus	syllabus	NOUN
bcpe-1791	60	13	for	for	ADP
bcpe-1791	60	14	college	college	NOUN
bcpe-1791	60	15	admissions	admission	NOUN
bcpe-1791	60	16	(	(	PUNCT
bcpe-1791	60	17	science	science	NOUN
bcpe-1791	60	18	mathematics	mathematic	NOUN
bcpe-1791	60	19	)	)	PUNCT
bcpe-1791	60	20	"	"	PUNCT
bcpe-1791	61	1	[	[	X
bcpe-1791	61	2	5	5	NUM
bcpe-1791	61	3	]	]	PUNCT
bcpe-1791	61	4	that	that	SCONJ
bcpe-1791	61	5	the	the	DET
bcpe-1791	61	6	calculation	calculation	NOUN
bcpe-1791	61	7	includes	include	VERB
bcpe-1791	61	8	the	the	DET
bcpe-1791	61	9	calculation	calculation	NOUN
bcpe-1791	61	10	of	of	ADP
bcpe-1791	61	11	numbers	number	NOUN
bcpe-1791	61	12	,	,	PUNCT
bcpe-1791	61	13	valuation	valuation	NOUN
bcpe-1791	61	14	,	,	PUNCT
bcpe-1791	61	15	and	and	CCONJ
bcpe-1791	61	16	approximation	approximation	NOUN
bcpe-1791	61	17	,	,	PUNCT
bcpe-1791	61	18	as	as	ADV
bcpe-1791	61	19	well	well	ADV
bcpe-1791	61	20	as	as	ADP
bcpe-1791	61	21	the	the	DET
bcpe-1791	61	22	combination	combination	NOUN
bcpe-1791	61	23	deformation	deformation	NOUN
bcpe-1791	61	24	and	and	CCONJ
bcpe-1791	61	25	decomposition	decomposition	NOUN
bcpe-1791	61	26	deformation	deformation	NOUN
bcpe-1791	61	27	of	of	ADP
bcpe-1791	61	28	formulas	formula	NOUN
bcpe-1791	61	29	,	,	PUNCT
bcpe-1791	61	30	but	but	CCONJ
bcpe-1791	61	31	also	also	ADV
bcpe-1791	61	32	the	the	DET
bcpe-1791	61	33	calculation	calculation	NOUN
bcpe-1791	61	34	of	of	ADP
bcpe-1791	61	35	the	the	DET
bcpe-1791	61	36	calculation	calculation	NOUN
bcpe-1791	61	37	and	and	CCONJ
bcpe-1791	61	38	solution	solution	NOUN
bcpe-1791	61	39	of	of	ADP
bcpe-1791	61	40	various	various	ADJ
bcpe-1791	61	41	geometric	geometric	ADJ
bcpe-1791	61	42	quantities	quantity	NOUN
bcpe-1791	61	43	of	of	ADP
bcpe-1791	61	44	geometric	geometric	ADJ
bcpe-1791	61	45	figures	figure	NOUN
bcpe-1791	61	46	,	,	PUNCT
bcpe-1791	61	47	etc	etc	X
bcpe-1791	61	48	.	.	X
bcpe-1791	62	1	the	the	DET
bcpe-1791	62	2	conic	conic	ADJ
bcpe-1791	62	3	section	section	NOUN
bcpe-1791	62	4	has	have	VERB
bcpe-1791	62	5	a	a	DET
bcpe-1791	62	6	large	large	ADJ
bcpe-1791	62	7	number	number	NOUN
bcpe-1791	62	8	of	of	ADP
bcpe-1791	62	9	calculations	calculation	NOUN
bcpe-1791	62	10	,	,	PUNCT
bcpe-1791	62	11	many	many	ADJ
bcpe-1791	62	12	calculation	calculation	NOUN
bcpe-1791	62	13	skills	skill	NOUN
bcpe-1791	62	14	,	,	PUNCT
bcpe-1791	62	15	and	and	CCONJ
bcpe-1791	62	16	complex	complex	ADJ
bcpe-1791	62	17	calculation	calculation	NOUN
bcpe-1791	62	18	ideas	idea	NOUN
bcpe-1791	62	19	,	,	PUNCT
bcpe-1791	62	20	which	which	PRON
bcpe-1791	62	21	is	be	AUX
bcpe-1791	62	22	a	a	DET
bcpe-1791	62	23	suitable	suitable	ADJ
bcpe-1791	62	24	carrier	carrier	NOUN
bcpe-1791	62	25	for	for	ADP
bcpe-1791	62	26	cultivating	cultivate	VERB
bcpe-1791	62	27	mathematical	mathematical	ADJ
bcpe-1791	62	28	operation	operation	NOUN
bcpe-1791	62	29	literacy	literacy	NOUN
bcpe-1791	62	30	.	.	PUNCT
bcpe-1791	63	1	as	as	ADP
bcpe-1791	63	2	the	the	DET
bcpe-1791	63	3	chief	chief	ADJ
bcpe-1791	63	4	expert	expert	NOUN
bcpe-1791	63	5	on	on	ADP
bcpe-1791	63	6	the	the	DET
bcpe-1791	63	7	development	development	NOUN
bcpe-1791	63	8	of	of	ADP
bcpe-1791	63	9	core	core	NOUN
bcpe-1791	63	10	competencies	competency	NOUN
bcpe-1791	63	11	for	for	ADP
bcpe-1791	63	12	chinese	chinese	ADJ
bcpe-1791	63	13	students	student	NOUN
bcpe-1791	63	14	'	'	PART
bcpe-1791	63	15	development	development	NOUN
bcpe-1791	63	16	,	,	PUNCT
bcpe-1791	63	17	professor	professor	NOUN
bcpe-1791	63	18	lin	lin	PROPN
bcpe-1791	63	19	chongde	chongde	PROPN
bcpe-1791	63	20	has	have	AUX
bcpe-1791	63	21	carried	carry	VERB
bcpe-1791	63	22	out	out	ADP
bcpe-1791	63	23	a	a	DET
bcpe-1791	63	24	series	series	NOUN
bcpe-1791	63	25	of	of	ADP
bcpe-1791	63	26	pioneering	pioneer	VERB
bcpe-1791	63	27	and	and	CCONJ
bcpe-1791	63	28	ground	ground	NOUN
bcpe-1791	63	29	-	-	PUNCT
bcpe-1791	63	30	breaking	break	VERB
bcpe-1791	63	31	work	work	NOUN
bcpe-1791	63	32	around	around	ADP
bcpe-1791	63	33	the	the	DET
bcpe-1791	63	34	construction	construction	NOUN
bcpe-1791	63	35	of	of	ADP
bcpe-1791	63	36	textbooks	textbook	NOUN
bcpe-1791	63	37	for	for	ADP
bcpe-1791	63	38	universities	university	NOUN
bcpe-1791	63	39	and	and	CCONJ
bcpe-1791	63	40	middle	middle	ADJ
bcpe-1791	63	41	and	and	CCONJ
bcpe-1791	63	42	primary	primary	ADJ
bcpe-1791	63	43	schools	school	NOUN
bcpe-1791	63	44	.	.	PUNCT
bcpe-1791	64	1	he	he	PRON
bcpe-1791	64	2	is	be	AUX
bcpe-1791	64	3	the	the	DET
bcpe-1791	64	4	first	first	ADJ
bcpe-1791	64	5	in	in	ADP
bcpe-1791	64	6	china	china	PROPN
bcpe-1791	64	7	to	to	PART
bcpe-1791	64	8	divide	divide	VERB
bcpe-1791	64	9	the	the	DET
bcpe-1791	64	10	level	level	NOUN
bcpe-1791	64	11	of	of	ADP
bcpe-1791	64	12	mathematical	mathematical	ADJ
bcpe-1791	64	13	operation	operation	NOUN
bcpe-1791	64	14	ability	ability	NOUN
bcpe-1791	64	15	:	:	PUNCT
bcpe-1791	64	16	①	①	X
bcpe-1791	64	17	understanding	understanding	NOUN
bcpe-1791	64	18	and	and	CCONJ
bcpe-1791	64	19	understanding	understanding	NOUN
bcpe-1791	64	20	level	level	NOUN
bcpe-1791	64	21	;	;	PUNCT
bcpe-1791	64	22	②	②	NUM
bcpe-1791	64	23	mastery	mastery	NOUN
bcpe-1791	64	24	and	and	CCONJ
bcpe-1791	64	25	application	application	NOUN
bcpe-1791	64	26	-	-	PUNCT
bcpe-1791	64	27	level	level	NOUN
bcpe-1791	64	28	;	;	PUNCT
bcpe-1791	64	29	③	③	NUM
bcpe-1791	64	30	synthesis	synthesis	NOUN
bcpe-1791	64	31	and	and	CCONJ
bcpe-1791	64	32	evaluation	evaluation	NOUN
bcpe-1791	64	33	level	level	NOUN
bcpe-1791	64	34	[	[	X
bcpe-1791	64	35	6	6	NUM
bcpe-1791	64	36	]	]	PUNCT
bcpe-1791	64	37	.	.	PUNCT
bcpe-1791	65	1	the	the	DET
bcpe-1791	65	2	three	three	NUM
bcpe-1791	65	3	corresponding	corresponding	ADJ
bcpe-1791	65	4	levels	level	NOUN
bcpe-1791	65	5	are	be	AUX
bcpe-1791	65	6	1	1	NUM
bcpe-1791	65	7	,	,	PUNCT
bcpe-1791	65	8	2	2	NUM
bcpe-1791	65	9	,	,	PUNCT
bcpe-1791	65	10	and	and	CCONJ
bcpe-1791	65	11	3	3	NUM
bcpe-1791	65	12	,	,	PUNCT
bcpe-1791	65	13	respectively	respectively	ADV
bcpe-1791	65	14	.	.	PUNCT
bcpe-1791	66	1	students	student	NOUN
bcpe-1791	66	2	at	at	ADP
bcpe-1791	66	3	level	level	NOUN
bcpe-1791	66	4	1	1	NUM
bcpe-1791	66	5	can	can	AUX
bcpe-1791	66	6	initially	initially	ADV
bcpe-1791	66	7	understand	understand	VERB
bcpe-1791	66	8	the	the	DET
bcpe-1791	66	9	meaning	meaning	NOUN
bcpe-1791	66	10	of	of	ADP
bcpe-1791	66	11	mathematical	mathematical	ADJ
bcpe-1791	66	12	operations	operation	NOUN
bcpe-1791	66	13	,	,	PUNCT
bcpe-1791	66	14	identify	identify	VERB
bcpe-1791	66	15	relevant	relevant	ADJ
bcpe-1791	66	16	mathematical	mathematical	ADJ
bcpe-1791	66	17	problems	problem	NOUN
bcpe-1791	66	18	and	and	CCONJ
bcpe-1791	66	19	methods	method	NOUN
bcpe-1791	66	20	in	in	ADP
bcpe-1791	66	21	time	time	NOUN
bcpe-1791	66	22	,	,	PUNCT
bcpe-1791	66	23	and	and	CCONJ
bcpe-1791	66	24	understand	understand	VERB
bcpe-1791	66	25	the	the	DET
bcpe-1791	66	26	rules	rule	NOUN
bcpe-1791	66	27	of	of	ADP
bcpe-1791	66	28	operations	operation	NOUN
bcpe-1791	66	29	,	,	PUNCT
bcpe-1791	66	30	laws	law	NOUN
bcpe-1791	66	31	,	,	PUNCT
bcpe-1791	66	32	formulas	formula	NOUN
bcpe-1791	66	33	of	of	ADP
bcpe-1791	66	34	operations	operation	NOUN
bcpe-1791	66	35	,	,	PUNCT
bcpe-1791	66	36	etc	etc	X
bcpe-1791	66	37	.	.	X
bcpe-1791	67	1	students	student	NOUN
bcpe-1791	67	2	at	at	ADP
bcpe-1791	67	3	level	level	NOUN
bcpe-1791	67	4	2	2	NUM
bcpe-1791	67	5	learn	learn	VERB
bcpe-1791	67	6	a	a	DET
bcpe-1791	67	7	certain	certain	ADJ
bcpe-1791	67	8	amount	amount	NOUN
bcpe-1791	67	9	of	of	ADP
bcpe-1791	67	10	operation	operation	NOUN
bcpe-1791	67	11	skills	skill	NOUN
bcpe-1791	67	12	and	and	CCONJ
bcpe-1791	67	13	methods	method	NOUN
bcpe-1791	67	14	afterward	afterward	ADV
bcpe-1791	67	15	.	.	PUNCT
bcpe-1791	68	1	they	they	PRON
bcpe-1791	68	2	have	have	VERB
bcpe-1791	68	3	a	a	DET
bcpe-1791	68	4	certain	certain	ADJ
bcpe-1791	68	5	computing	computing	NOUN
bcpe-1791	68	6	ability	ability	NOUN
bcpe-1791	68	7	and	and	CCONJ
bcpe-1791	68	8	can	can	AUX
bcpe-1791	68	9	use	use	VERB
bcpe-1791	68	10	mathematical	mathematical	ADJ
bcpe-1791	68	11	operations	operation	NOUN
bcpe-1791	68	12	to	to	PART
bcpe-1791	68	13	deal	deal	VERB
bcpe-1791	68	14	with	with	ADP
bcpe-1791	68	15	general	general	ADJ
bcpe-1791	68	16	mathematical	mathematical	ADJ
bcpe-1791	68	17	problems	problem	NOUN
bcpe-1791	68	18	.	.	PUNCT
bcpe-1791	69	1	level	level	NOUN
bcpe-1791	69	2	3	3	NUM
bcpe-1791	69	3	students	student	NOUN
bcpe-1791	69	4	can	can	AUX
bcpe-1791	69	5	apply	apply	VERB
bcpe-1791	69	6	different	different	ADJ
bcpe-1791	69	7	mathematical	mathematical	ADJ
bcpe-1791	69	8	operation	operation	NOUN
bcpe-1791	69	9	methods	method	NOUN
bcpe-1791	69	10	and	and	CCONJ
bcpe-1791	69	11	formulas	formula	NOUN
bcpe-1791	69	12	,	,	PUNCT
bcpe-1791	69	13	flexibly	flexibly	ADV
bcpe-1791	69	14	handle	handle	VERB
bcpe-1791	69	15	various	various	ADJ
bcpe-1791	69	16	mathematical	mathematical	ADJ
bcpe-1791	69	17	problems	problem	NOUN
bcpe-1791	69	18	,	,	PUNCT
bcpe-1791	69	19	and	and	CCONJ
bcpe-1791	69	20	use	use	VERB
bcpe-1791	69	21	efficient	efficient	ADJ
bcpe-1791	69	22	and	and	CCONJ
bcpe-1791	69	23	fast	fast	ADJ
bcpe-1791	69	24	computing	computing	NOUN
bcpe-1791	69	25	methods	method	NOUN
bcpe-1791	69	26	to	to	PART
bcpe-1791	69	27	solve	solve	VERB
bcpe-1791	69	28	problems	problem	NOUN
bcpe-1791	69	29	.	.	PUNCT
bcpe-1791	70	1	therefore	therefore	ADV
bcpe-1791	70	2	,	,	PUNCT
bcpe-1791	70	3	the	the	DET
bcpe-1791	70	4	level	level	NOUN
bcpe-1791	70	5	3	3	NUM
bcpe-1791	70	6	computing	computing	NOUN
bcpe-1791	70	7	ability	ability	NOUN
bcpe-1791	70	8	is	be	AUX
bcpe-1791	70	9	the	the	DET
bcpe-1791	70	10	highest	high	ADJ
bcpe-1791	70	11	level	level	NOUN
bcpe-1791	70	12	.	.	PUNCT
bcpe-1791	71	1	the	the	DET
bcpe-1791	71	2	main	main	ADJ
bcpe-1791	71	3	challenge	challenge	NOUN
bcpe-1791	71	4	of	of	ADP
bcpe-1791	71	5	problem	problem	NOUN
bcpe-1791	71	6	-	-	PUNCT
bcpe-1791	71	7	solving	solve	VERB
bcpe-1791	71	8	teaching	teaching	NOUN
bcpe-1791	71	9	lies	lie	VERB
bcpe-1791	71	10	in	in	ADP
bcpe-1791	71	11	the	the	DET
bcpe-1791	71	12	teaching	teaching	NOUN
bcpe-1791	71	13	of	of	ADP
bcpe-1791	71	14	comprehensive	comprehensive	ADJ
bcpe-1791	71	15	problemsolving	problemsolving	NOUN
bcpe-1791	71	16	methods	method	NOUN
bcpe-1791	71	17	,	,	PUNCT
bcpe-1791	71	18	but	but	CCONJ
bcpe-1791	71	19	high	high	ADJ
bcpe-1791	71	20	school	school	NOUN
bcpe-1791	71	21	students	student	NOUN
bcpe-1791	71	22	'	'	PART
bcpe-1791	71	23	learning	learning	NOUN
bcpe-1791	71	24	and	and	CCONJ
bcpe-1791	71	25	mastery	mastery	NOUN
bcpe-1791	71	26	of	of	ADP
bcpe-1791	71	27	conic	conic	ADJ
bcpe-1791	71	28	curve	curve	NOUN
bcpe-1791	71	29	comprehensive	comprehensive	ADJ
bcpe-1791	71	30	problems	problem	NOUN
bcpe-1791	71	31	are	be	AUX
bcpe-1791	71	32	not	not	PART
bcpe-1791	71	33	ideal	ideal	ADJ
bcpe-1791	71	34	,	,	PUNCT
bcpe-1791	71	35	and	and	CCONJ
bcpe-1791	71	36	the	the	DET
bcpe-1791	71	37	scoring	scoring	NOUN
bcpe-1791	71	38	rate	rate	NOUN
bcpe-1791	71	39	in	in	ADP
bcpe-1791	71	40	the	the	DET
bcpe-1791	71	41	college	college	NOUN
bcpe-1791	71	42	entrance	entrance	NOUN
bcpe-1791	71	43	examination	examination	NOUN
bcpe-1791	71	44	is	be	AUX
bcpe-1791	71	45	low	low	ADJ
bcpe-1791	71	46	.	.	PUNCT
bcpe-1791	72	1	therefore	therefore	ADV
bcpe-1791	72	2	,	,	PUNCT
bcpe-1791	72	3	in	in	ADP
bcpe-1791	72	4	order	order	NOUN
bcpe-1791	72	5	to	to	PART
bcpe-1791	72	6	enable	enable	VERB
bcpe-1791	72	7	students	student	NOUN
bcpe-1791	72	8	to	to	PART
bcpe-1791	72	9	grasp	grasp	VERB
bcpe-1791	72	10	better	well	ADJ
bcpe-1791	72	11	the	the	DET
bcpe-1791	72	12	comprehensive	comprehensive	ADJ
bcpe-1791	72	13	problem	problem	NOUN
bcpe-1791	72	14	-	-	PUNCT
bcpe-1791	72	15	solving	solve	VERB
bcpe-1791	72	16	method	method	NOUN
bcpe-1791	72	17	of	of	ADP
bcpe-1791	72	18	conic	conic	ADJ
bcpe-1791	72	19	section	section	NOUN
bcpe-1791	72	20	,	,	PUNCT
bcpe-1791	72	21	bcp	bcp	PROPN
bcpe-1791	72	22	education	education	PROPN
bcpe-1791	72	23	&	&	CCONJ
bcpe-1791	72	24	psychology	psychology	PROPN
bcpe-1791	72	25	erhss	erhss	PROPN
bcpe-1791	72	26	2022	2022	NUM
bcpe-1791	72	27	volume	volume	NOUN
bcpe-1791	72	28	6	6	NUM
bcpe-1791	72	29	(	(	PUNCT
bcpe-1791	72	30	2022	2022	NUM
bcpe-1791	72	31	)	)	PUNCT
bcpe-1791	72	32	210	210	NUM
bcpe-1791	72	33	the	the	DET
bcpe-1791	72	34	teaching	teaching	NOUN
bcpe-1791	72	35	method	method	NOUN
bcpe-1791	72	36	of	of	ADP
bcpe-1791	72	37	conic	conic	ADJ
bcpe-1791	72	38	section	section	NOUN
bcpe-1791	72	39	problem	problem	NOUN
bcpe-1791	72	40	solving	solving	NOUN
bcpe-1791	72	41	is	be	AUX
bcpe-1791	72	42	a	a	DET
bcpe-1791	72	43	hot	hot	ADJ
bcpe-1791	72	44	topic	topic	NOUN
bcpe-1791	72	45	in	in	ADP
bcpe-1791	72	46	academic	academic	ADJ
bcpe-1791	72	47	circles	circle	NOUN
bcpe-1791	72	48	to	to	PART
bcpe-1791	72	49	explore	explore	VERB
bcpe-1791	72	50	the	the	DET
bcpe-1791	72	51	strategy	strategy	NOUN
bcpe-1791	72	52	innovation	innovation	NOUN
bcpe-1791	72	53	of	of	ADP
bcpe-1791	72	54	conic	conic	ADJ
bcpe-1791	72	55	section	section	NOUN
bcpe-1791	72	56	problem	problem	NOUN
bcpe-1791	72	57	-	-	PUNCT
bcpe-1791	72	58	solving	solve	VERB
bcpe-1791	72	59	teaching	teaching	NOUN
bcpe-1791	72	60	,	,	PUNCT
bcpe-1791	72	61	and	and	CCONJ
bcpe-1791	72	62	to	to	PART
bcpe-1791	72	63	form	form	VERB
bcpe-1791	72	64	teaching	teaching	NOUN
bcpe-1791	72	65	cases	case	NOUN
bcpe-1791	72	66	as	as	ADP
bcpe-1791	72	67	teaching	teaching	NOUN
bcpe-1791	72	68	reference	reference	NOUN
bcpe-1791	72	69	,	,	PUNCT
bcpe-1791	72	70	in	in	ADP
bcpe-1791	72	71	order	order	NOUN
bcpe-1791	72	72	to	to	PART
bcpe-1791	72	73	provide	provide	VERB
bcpe-1791	72	74	a	a	DET
bcpe-1791	72	75	particular	particular	ADJ
bcpe-1791	72	76	wisdom	wisdom	NOUN
bcpe-1791	72	77	scheme	scheme	NOUN
bcpe-1791	72	78	for	for	ADP
bcpe-1791	72	79	cultivating	cultivate	VERB
bcpe-1791	72	80	students	student	NOUN
bcpe-1791	72	81	'	'	PART
bcpe-1791	72	82	mathematical	mathematical	ADJ
bcpe-1791	72	83	operation	operation	NOUN
bcpe-1791	72	84	literacy	literacy	NOUN
bcpe-1791	72	85	,	,	PUNCT
bcpe-1791	72	86	improving	improve	VERB
bcpe-1791	72	87	students	student	NOUN
bcpe-1791	72	88	'	'	PART
bcpe-1791	72	89	conic	conic	ADJ
bcpe-1791	72	90	section	section	NOUN
bcpe-1791	72	91	problem	problem	NOUN
bcpe-1791	72	92	-	-	PUNCT
bcpe-1791	72	93	solving	solve	VERB
bcpe-1791	72	94	ability	ability	NOUN
bcpe-1791	72	95	and	and	CCONJ
bcpe-1791	72	96	teachers	teacher	NOUN
bcpe-1791	72	97	'	'	PART
bcpe-1791	72	98	teaching	teaching	NOUN
bcpe-1791	72	99	ideas	idea	NOUN
bcpe-1791	72	100	and	and	CCONJ
bcpe-1791	72	101	methods	method	NOUN
bcpe-1791	72	102	.	.	PUNCT
bcpe-1791	73	1	4	4	X
bcpe-1791	73	2	.	.	X
bcpe-1791	73	3	teaching	teach	VERB
bcpe-1791	73	4	strategies	strategy	NOUN
bcpe-1791	73	5	for	for	ADP
bcpe-1791	73	6	integrating	integrate	VERB
bcpe-1791	73	7	mathematical	mathematical	ADJ
bcpe-1791	73	8	operations	operation	NOUN
bcpe-1791	73	9	into	into	ADP
bcpe-1791	73	10	the	the	DET
bcpe-1791	73	11	teaching	teaching	NOUN
bcpe-1791	73	12	of	of	ADP
bcpe-1791	73	13	conic	conic	ADJ
bcpe-1791	73	14	section	section	NOUN
bcpe-1791	73	15	problem	problem	NOUN
bcpe-1791	73	16	solving	solve	VERB
bcpe-1791	73	17	good	good	ADJ
bcpe-1791	73	18	design	design	NOUN
bcpe-1791	73	19	of	of	ADP
bcpe-1791	73	20	exercises	exercise	NOUN
bcpe-1791	73	21	in	in	ADP
bcpe-1791	73	22	the	the	DET
bcpe-1791	73	23	teaching	teaching	NOUN
bcpe-1791	73	24	of	of	ADP
bcpe-1791	73	25	conic	conic	ADJ
bcpe-1791	73	26	section	section	NOUN
bcpe-1791	73	27	problem	problem	NOUN
bcpe-1791	73	28	solving	solving	NOUN
bcpe-1791	73	29	can	can	AUX
bcpe-1791	73	30	cultivate	cultivate	VERB
bcpe-1791	73	31	students	student	NOUN
bcpe-1791	73	32	'	'	PART
bcpe-1791	73	33	proficiency	proficiency	NOUN
bcpe-1791	73	34	,	,	PUNCT
bcpe-1791	73	35	accuracy	accuracy	NOUN
bcpe-1791	73	36	,	,	PUNCT
bcpe-1791	73	37	and	and	CCONJ
bcpe-1791	73	38	flexibility	flexibility	NOUN
bcpe-1791	73	39	in	in	ADP
bcpe-1791	73	40	operation	operation	NOUN
bcpe-1791	73	41	and	and	CCONJ
bcpe-1791	73	42	help	help	VERB
bcpe-1791	73	43	them	they	PRON
bcpe-1791	73	44	further	far	ADV
bcpe-1791	73	45	improve	improve	VERB
bcpe-1791	73	46	their	their	PRON
bcpe-1791	73	47	mathematical	mathematical	ADJ
bcpe-1791	73	48	operation	operation	NOUN
bcpe-1791	73	49	ability	ability	NOUN
bcpe-1791	73	50	.	.	PUNCT
bcpe-1791	74	1	in	in	ADP
bcpe-1791	74	2	the	the	DET
bcpe-1791	74	3	teaching	teaching	NOUN
bcpe-1791	74	4	process	process	NOUN
bcpe-1791	74	5	of	of	ADP
bcpe-1791	74	6	conic	conic	ADJ
bcpe-1791	74	7	section	section	NOUN
bcpe-1791	74	8	problem	problem	NOUN
bcpe-1791	74	9	solving	solving	NOUN
bcpe-1791	74	10	,	,	PUNCT
bcpe-1791	74	11	teachers	teacher	NOUN
bcpe-1791	74	12	promote	promote	VERB
bcpe-1791	74	13	the	the	DET
bcpe-1791	74	14	development	development	NOUN
bcpe-1791	74	15	of	of	ADP
bcpe-1791	74	16	students	student	NOUN
bcpe-1791	74	17	'	'	PART
bcpe-1791	74	18	mathematical	mathematical	ADJ
bcpe-1791	74	19	thinking	thinking	NOUN
bcpe-1791	74	20	by	by	ADP
bcpe-1791	74	21	guiding	guide	VERB
bcpe-1791	74	22	students	student	NOUN
bcpe-1791	74	23	to	to	PART
bcpe-1791	74	24	reasonably	reasonably	ADV
bcpe-1791	74	25	analyze	analyze	VERB
bcpe-1791	74	26	the	the	DET
bcpe-1791	74	27	operation	operation	NOUN
bcpe-1791	74	28	conditions	condition	NOUN
bcpe-1791	74	29	,	,	PUNCT
bcpe-1791	74	30	accurately	accurately	ADV
bcpe-1791	74	31	grasp	grasp	VERB
bcpe-1791	74	32	the	the	DET
bcpe-1791	74	33	direction	direction	NOUN
bcpe-1791	74	34	of	of	ADP
bcpe-1791	74	35	operation	operation	NOUN
bcpe-1791	74	36	,	,	PUNCT
bcpe-1791	74	37	effectively	effectively	ADV
bcpe-1791	74	38	select	select	VERB
bcpe-1791	74	39	the	the	DET
bcpe-1791	74	40	operation	operation	NOUN
bcpe-1791	74	41	formula	formula	NOUN
bcpe-1791	74	42	,	,	PUNCT
bcpe-1791	74	43	and	and	CCONJ
bcpe-1791	74	44	correctly	correctly	ADV
bcpe-1791	74	45	output	output	VERB
bcpe-1791	74	46	the	the	DET
bcpe-1791	74	47	operation	operation	NOUN
bcpe-1791	74	48	result	result	NOUN
bcpe-1791	74	49	to	to	PART
bcpe-1791	74	50	develop	develop	VERB
bcpe-1791	74	51	the	the	DET
bcpe-1791	74	52	habit	habit	NOUN
bcpe-1791	74	53	of	of	ADP
bcpe-1791	74	54	thinking	think	VERB
bcpe-1791	74	55	programmatically	programmatically	ADV
bcpe-1791	74	56	.	.	PUNCT
bcpe-1791	75	1	therefore	therefore	ADV
bcpe-1791	75	2	,	,	PUNCT
bcpe-1791	75	3	the	the	DET
bcpe-1791	75	4	following	follow	VERB
bcpe-1791	75	5	is	be	AUX
bcpe-1791	75	6	case	case	NOUN
bcpe-1791	75	7	-	-	PUNCT
bcpe-1791	75	8	based	base	VERB
bcpe-1791	75	9	,	,	PUNCT
bcpe-1791	75	10	combined	combine	VERB
bcpe-1791	75	11	with	with	ADP
bcpe-1791	75	12	the	the	DET
bcpe-1791	75	13	three	three	NUM
bcpe-1791	75	14	-	-	PUNCT
bcpe-1791	75	15	level	level	NOUN
bcpe-1791	75	16	mathematical	mathematical	ADJ
bcpe-1791	75	17	operation	operation	NOUN
bcpe-1791	75	18	ability	ability	NOUN
bcpe-1791	75	19	classification	classification	NOUN
bcpe-1791	75	20	and	and	CCONJ
bcpe-1791	75	21	the	the	DET
bcpe-1791	75	22	training	training	NOUN
bcpe-1791	75	23	and	and	CCONJ
bcpe-1791	75	24	guidance	guidance	NOUN
bcpe-1791	75	25	strategies	strategy	NOUN
bcpe-1791	75	26	of	of	ADP
bcpe-1791	75	27	mathematical	mathematical	ADJ
bcpe-1791	75	28	ability	ability	NOUN
bcpe-1791	75	29	at	at	ADP
bcpe-1791	75	30	all	all	DET
bcpe-1791	75	31	levels	level	NOUN
bcpe-1791	75	32	,	,	PUNCT
bcpe-1791	75	33	and	and	CCONJ
bcpe-1791	75	34	then	then	ADV
bcpe-1791	75	35	gives	give	VERB
bcpe-1791	75	36	a	a	DET
bcpe-1791	75	37	conic	conic	ADJ
bcpe-1791	75	38	curve	curve	NOUN
bcpe-1791	75	39	problem	problem	NOUN
bcpe-1791	75	40	-	-	PUNCT
bcpe-1791	75	41	solving	solve	VERB
bcpe-1791	75	42	teaching	teaching	NOUN
bcpe-1791	75	43	plan	plan	NOUN
bcpe-1791	75	44	that	that	PRON
bcpe-1791	75	45	promotes	promote	VERB
bcpe-1791	75	46	the	the	DET
bcpe-1791	75	47	improvement	improvement	NOUN
bcpe-1791	75	48	of	of	ADP
bcpe-1791	75	49	mathematical	mathematical	ADJ
bcpe-1791	75	50	operation	operation	NOUN
bcpe-1791	75	51	literacy	literacy	NOUN
bcpe-1791	75	52	.	.	PUNCT
bcpe-1791	76	1	4.1	4.1	NUM
bcpe-1791	76	2	master	master	NOUN
bcpe-1791	76	3	the	the	DET
bcpe-1791	76	4	basic	basic	ADJ
bcpe-1791	76	5	question	question	NOUN
bcpe-1791	76	6	types	type	NOUN
bcpe-1791	76	7	and	and	CCONJ
bcpe-1791	76	8	reach	reach	VERB
bcpe-1791	76	9	the	the	DET
bcpe-1791	76	10	level	level	NOUN
bcpe-1791	76	11	1	1	NUM
bcpe-1791	76	12	maths	math	NOUN
bcpe-1791	76	13	operation	operation	NOUN
bcpe-1791	76	14	level	level	NOUN
bcpe-1791	76	15	the	the	DET
bcpe-1791	76	16	problem	problem	NOUN
bcpe-1791	76	17	-	-	PUNCT
bcpe-1791	76	18	solving	solving	NOUN
bcpe-1791	76	19	of	of	ADP
bcpe-1791	76	20	conic	conic	ADJ
bcpe-1791	76	21	sections	section	NOUN
bcpe-1791	76	22	involves	involve	VERB
bcpe-1791	76	23	a	a	DET
bcpe-1791	76	24	variety	variety	NOUN
bcpe-1791	76	25	of	of	ADP
bcpe-1791	76	26	core	core	ADJ
bcpe-1791	76	27	mathematical	mathematical	ADJ
bcpe-1791	76	28	competencies	competency	NOUN
bcpe-1791	76	29	,	,	PUNCT
bcpe-1791	76	30	including	include	VERB
bcpe-1791	76	31	intuitive	intuitive	ADJ
bcpe-1791	76	32	imagination	imagination	NOUN
bcpe-1791	76	33	,	,	PUNCT
bcpe-1791	76	34	mathematical	mathematical	ADJ
bcpe-1791	76	35	modeling	modeling	NOUN
bcpe-1791	76	36	,	,	PUNCT
bcpe-1791	76	37	logical	logical	ADJ
bcpe-1791	76	38	reasoning	reasoning	NOUN
bcpe-1791	76	39	,	,	PUNCT
bcpe-1791	76	40	and	and	CCONJ
bcpe-1791	76	41	mathematical	mathematical	ADJ
bcpe-1791	76	42	operations	operation	NOUN
bcpe-1791	76	43	.	.	PUNCT
bcpe-1791	77	1	the	the	DET
bcpe-1791	77	2	ability	ability	NOUN
bcpe-1791	77	3	of	of	ADP
bcpe-1791	77	4	mathematical	mathematical	ADJ
bcpe-1791	77	5	operation	operation	NOUN
bcpe-1791	77	6	determines	determine	VERB
bcpe-1791	77	7	the	the	DET
bcpe-1791	77	8	overall	overall	ADJ
bcpe-1791	77	9	grasp	grasp	NOUN
bcpe-1791	77	10	of	of	ADP
bcpe-1791	77	11	the	the	DET
bcpe-1791	77	12	questioner	questioner	NOUN
bcpe-1791	77	13	's	's	PART
bcpe-1791	77	14	ability	ability	NOUN
bcpe-1791	77	15	to	to	PART
bcpe-1791	77	16	grasp	grasp	VERB
bcpe-1791	77	17	the	the	DET
bcpe-1791	77	18	question	question	NOUN
bcpe-1791	77	19	.	.	PUNCT
bcpe-1791	78	1	the	the	DET
bcpe-1791	78	2	examination	examination	NOUN
bcpe-1791	78	3	of	of	ADP
bcpe-1791	78	4	the	the	DET
bcpe-1791	78	5	basic	basic	ADJ
bcpe-1791	78	6	question	question	NOUN
bcpe-1791	78	7	type	type	NOUN
bcpe-1791	78	8	of	of	ADP
bcpe-1791	78	9	conic	conic	ADJ
bcpe-1791	78	10	section	section	NOUN
bcpe-1791	78	11	in	in	ADP
bcpe-1791	78	12	the	the	DET
bcpe-1791	78	13	college	college	NOUN
bcpe-1791	78	14	entrance	entrance	NOUN
bcpe-1791	78	15	examination	examination	NOUN
bcpe-1791	78	16	is	be	AUX
bcpe-1791	78	17	mainly	mainly	ADV
bcpe-1791	78	18	in	in	ADP
bcpe-1791	78	19	the	the	DET
bcpe-1791	78	20	following	follow	VERB
bcpe-1791	78	21	aspects	aspect	NOUN
bcpe-1791	78	22	:	:	PUNCT
bcpe-1791	78	23	first	first	ADV
bcpe-1791	78	24	,	,	PUNCT
bcpe-1791	78	25	examine	examine	VERB
bcpe-1791	78	26	the	the	DET
bcpe-1791	78	27	definition	definition	NOUN
bcpe-1791	78	28	of	of	ADP
bcpe-1791	78	29	the	the	DET
bcpe-1791	78	30	conic	conic	ADJ
bcpe-1791	78	31	section	section	NOUN
bcpe-1791	78	32	,	,	PUNCT
bcpe-1791	78	33	such	such	ADJ
bcpe-1791	78	34	as	as	ADP
bcpe-1791	78	35	the	the	DET
bcpe-1791	78	36	relationship	relationship	NOUN
bcpe-1791	78	37	between	between	ADP
bcpe-1791	78	38	the	the	DET
bcpe-1791	78	39	conic	conic	ADJ
bcpe-1791	78	40	section	section	NOUN
bcpe-1791	78	41	and	and	CCONJ
bcpe-1791	78	42	the	the	DET
bcpe-1791	78	43	ellipse	ellipse	NOUN
bcpe-1791	78	44	.	.	PUNCT
bcpe-1791	79	1	the	the	DET
bcpe-1791	79	2	combination	combination	NOUN
bcpe-1791	79	3	of	of	ADP
bcpe-1791	79	4	focus	focus	NOUN
bcpe-1791	79	5	triangles	triangle	NOUN
bcpe-1791	79	6	can	can	AUX
bcpe-1791	79	7	solve	solve	VERB
bcpe-1791	79	8	related	related	ADJ
bcpe-1791	79	9	problems	problem	NOUN
bcpe-1791	79	10	such	such	ADJ
bcpe-1791	79	11	as	as	ADP
bcpe-1791	79	12	ellipses	ellipsis	NOUN
bcpe-1791	79	13	and	and	CCONJ
bcpe-1791	79	14	triangles	triangle	NOUN
bcpe-1791	79	15	.	.	PUNCT
bcpe-1791	80	1	the	the	DET
bcpe-1791	80	2	second	second	NOUN
bcpe-1791	80	3	is	be	AUX
bcpe-1791	80	4	to	to	PART
bcpe-1791	80	5	examine	examine	VERB
bcpe-1791	80	6	the	the	DET
bcpe-1791	80	7	standard	standard	ADJ
bcpe-1791	80	8	equations	equation	NOUN
bcpe-1791	80	9	of	of	ADP
bcpe-1791	80	10	conic	conic	ADJ
bcpe-1791	80	11	sections	section	NOUN
bcpe-1791	80	12	,	,	PUNCT
bcpe-1791	80	13	combined	combine	VERB
bcpe-1791	80	14	with	with	ADP
bcpe-1791	80	15	the	the	DET
bcpe-1791	80	16	relationship	relationship	NOUN
bcpe-1791	80	17	between	between	ADP
bcpe-1791	80	18	the	the	DET
bcpe-1791	80	19	basic	basic	ADJ
bcpe-1791	80	20	quantities	quantity	NOUN
bcpe-1791	80	21	of	of	ADP
bcpe-1791	80	22	conic	conic	ADJ
bcpe-1791	80	23	sections	section	NOUN
bcpe-1791	80	24	,	,	PUNCT
bcpe-1791	80	25	and	and	CCONJ
bcpe-1791	80	26	the	the	DET
bcpe-1791	80	27	undetermined	undetermined	ADJ
bcpe-1791	80	28	coefficient	coefficient	NOUN
bcpe-1791	80	29	method	method	NOUN
bcpe-1791	80	30	is	be	AUX
bcpe-1791	80	31	used	use	VERB
bcpe-1791	80	32	to	to	PART
bcpe-1791	80	33	solve	solve	VERB
bcpe-1791	80	34	them	they	PRON
bcpe-1791	80	35	;	;	PUNCT
bcpe-1791	80	36	the	the	DET
bcpe-1791	80	37	third	third	NOUN
bcpe-1791	80	38	is	be	AUX
bcpe-1791	80	39	to	to	PART
bcpe-1791	80	40	examine	examine	VERB
bcpe-1791	80	41	the	the	DET
bcpe-1791	80	42	geometric	geometric	ADJ
bcpe-1791	80	43	properties	property	NOUN
bcpe-1791	80	44	of	of	ADP
bcpe-1791	80	45	conic	conic	ADJ
bcpe-1791	80	46	sections	section	NOUN
bcpe-1791	80	47	.	.	PUNCT
bcpe-1791	81	1	examining	examine	VERB
bcpe-1791	81	2	the	the	DET
bcpe-1791	81	3	eccentricity	eccentricity	NOUN
bcpe-1791	81	4	problem	problem	NOUN
bcpe-1791	81	5	;	;	PUNCT
bcpe-1791	81	6	the	the	DET
bcpe-1791	81	7	fourth	fourth	ADJ
bcpe-1791	81	8	is	be	AUX
bcpe-1791	81	9	to	to	PART
bcpe-1791	81	10	examine	examine	VERB
bcpe-1791	81	11	the	the	DET
bcpe-1791	81	12	positional	positional	ADJ
bcpe-1791	81	13	relationship	relationship	NOUN
bcpe-1791	81	14	between	between	ADP
bcpe-1791	81	15	the	the	DET
bcpe-1791	81	16	straight	straight	ADJ
bcpe-1791	81	17	line	line	NOUN
bcpe-1791	81	18	and	and	CCONJ
bcpe-1791	81	19	the	the	DET
bcpe-1791	81	20	conic	conic	ADJ
bcpe-1791	81	21	section	section	NOUN
bcpe-1791	81	22	,	,	PUNCT
bcpe-1791	81	23	which	which	PRON
bcpe-1791	81	24	is	be	AUX
bcpe-1791	81	25	comprehensive	comprehensive	ADJ
bcpe-1791	81	26	,	,	PUNCT
bcpe-1791	81	27	often	often	ADV
bcpe-1791	81	28	combined	combine	VERB
bcpe-1791	81	29	with	with	ADP
bcpe-1791	81	30	the	the	DET
bcpe-1791	81	31	vector	vector	NOUN
bcpe-1791	81	32	,	,	PUNCT
bcpe-1791	81	33	involving	involve	VERB
bcpe-1791	81	34	simultaneous	simultaneous	ADJ
bcpe-1791	81	35	equations	equation	NOUN
bcpe-1791	81	36	,	,	PUNCT
bcpe-1791	81	37	the	the	DET
bcpe-1791	81	38	discriminant	discriminant	NOUN
bcpe-1791	81	39	of	of	ADP
bcpe-1791	81	40	the	the	DET
bcpe-1791	81	41	root	root	NOUN
bcpe-1791	81	42	,	,	PUNCT
bcpe-1791	81	43	the	the	DET
bcpe-1791	81	44	relationship	relationship	NOUN
bcpe-1791	81	45	between	between	ADP
bcpe-1791	81	46	the	the	DET
bcpe-1791	81	47	root	root	NOUN
bcpe-1791	81	48	and	and	CCONJ
bcpe-1791	81	49	the	the	DET
bcpe-1791	81	50	coefficient	coefficient	NOUN
bcpe-1791	81	51	,	,	PUNCT
bcpe-1791	81	52	the	the	DET
bcpe-1791	81	53	chord	chord	NOUN
bcpe-1791	81	54	length	length	NOUN
bcpe-1791	81	55	problem	problem	NOUN
bcpe-1791	81	56	,	,	PUNCT
bcpe-1791	81	57	inequality	inequality	NOUN
bcpe-1791	81	58	,	,	PUNCT
bcpe-1791	81	59	etc	etc	X
bcpe-1791	81	60	.	.	X
bcpe-1791	82	1	the	the	DET
bcpe-1791	82	2	following	following	NOUN
bcpe-1791	82	3	uses	use	VERB
bcpe-1791	82	4	an	an	DET
bcpe-1791	82	5	example	example	NOUN
bcpe-1791	82	6	problem	problem	NOUN
bcpe-1791	82	7	as	as	ADP
bcpe-1791	82	8	a	a	DET
bcpe-1791	82	9	teaching	teaching	NOUN
bcpe-1791	82	10	case	case	NOUN
bcpe-1791	82	11	to	to	PART
bcpe-1791	82	12	illustrate	illustrate	VERB
bcpe-1791	82	13	:	:	PUNCT
bcpe-1791	82	14	example	example	NOUN
bcpe-1791	82	15	1	1	NUM
bcpe-1791	82	16	:	:	PUNCT
bcpe-1791	82	17	(	(	PUNCT
bcpe-1791	82	18	2021	2021	NUM
bcpe-1791	82	19	national	national	ADJ
bcpe-1791	82	20	college	college	NOUN
bcpe-1791	82	21	entrance	entrance	NOUN
bcpe-1791	82	22	examination	examination	NOUN
bcpe-1791	82	23	questions	question	NOUN
bcpe-1791	82	24	)	)	PUNCT
bcpe-1791	82	25	known	know	VERB
bcpe-1791	82	26	to	to	PART
bcpe-1791	82	27	be	be	AUX
bcpe-1791	82	28	f1	f1	ADJ
bcpe-1791	82	29	,	,	PUNCT
bcpe-1791	82	30	f2the	f2the	DET
bcpe-1791	82	31	two	two	NUM
bcpe-1791	82	32	focal	focal	ADJ
bcpe-1791	82	33	points	point	NOUN
bcpe-1791	82	34	of	of	ADP
bcpe-1791	82	35	the	the	DET
bcpe-1791	82	36	mellipse	mellipse	NOUN
bcpe-1791	82	37	,	,	PUNCT
bcpe-1791	82	38	if	if	SCONJ
bcpe-1791	82	39	the	the	DET
bcpe-1791	82	40	point	point	NOUN
bcpe-1791	82	41	is	be	AUX
bcpe-1791	82	42	c	c	NOUN
bcpe-1791	82	43	:	:	PUNCT
bcpe-1791	82	44	x	x	SYM
bcpe-1791	82	45	2	2	NUM
bcpe-1791	82	46	9	9	NUM
bcpe-1791	82	47	+	+	CCONJ
bcpe-1791	83	1	y2	y2	PROPN
bcpe-1791	83	2	4	4	NUM
bcpe-1791	83	3	=	=	NOUN
bcpe-1791	83	4	1on	1on	NOUN
bcpe-1791	83	5	the	the	DET
bcpe-1791	83	6	ctop	ctop	NOUN
bcpe-1791	83	7	,	,	PUNCT
bcpe-1791	83	8	|mf1|	|mf1|	PUNCT
bcpe-1791	83	9	∙	∙	VERB
bcpe-1791	83	10	|mf2|the	|mf2|the	DET
bcpe-1791	83	11	maximum	maximum	ADJ
bcpe-1791	83	12	value	value	NOUN
bcpe-1791	83	13	is	be	AUX
bcpe-1791	83	14	(	(	PUNCT
bcpe-1791	83	15	)	)	PUNCT
bcpe-1791	83	16	𝐴𝐴．13	𝐴𝐴．13	VERB
bcpe-1791	83	17	𝐵𝐵．12	𝐵𝐵．12	NUM
bcpe-1791	83	18	𝐶𝐶．9	𝐶𝐶．9	PROPN
bcpe-1791	83	19	𝐷𝐷．6	𝐷𝐷．6	PROPN
bcpe-1791	83	20	the	the	DET
bcpe-1791	83	21	teacher	teacher	NOUN
bcpe-1791	83	22	's	's	PART
bcpe-1791	83	23	method	method	NOUN
bcpe-1791	83	24	guide	guide	NOUN
bcpe-1791	83	25	:	:	PUNCT
bcpe-1791	83	26	①confirm	①confirm	VERB
bcpe-1791	83	27	the	the	DET
bcpe-1791	83	28	question	question	NOUN
bcpe-1791	83	29	type	type	NOUN
bcpe-1791	83	30	:	:	PUNCT
bcpe-1791	83	31	this	this	DET
bcpe-1791	83	32	question	question	NOUN
bcpe-1791	83	33	involves	involve	VERB
bcpe-1791	83	34	the	the	DET
bcpe-1791	83	35	distance	distance	NOUN
bcpe-1791	83	36	between	between	ADP
bcpe-1791	83	37	the	the	DET
bcpe-1791	83	38	point	point	NOUN
bcpe-1791	83	39	on	on	ADP
bcpe-1791	83	40	the	the	DET
bcpe-1791	83	41	ellipse	ellipse	NOUN
bcpe-1791	83	42	and	and	CCONJ
bcpe-1791	83	43	the	the	DET
bcpe-1791	83	44	two	two	NUM
bcpe-1791	83	45	focal	focal	ADJ
bcpe-1791	83	46	points	point	NOUN
bcpe-1791	83	47	of	of	ADP
bcpe-1791	83	48	the	the	DET
bcpe-1791	83	49	ellipse	ellipse	NOUN
bcpe-1791	83	50	.	.	PUNCT
bcpe-1791	84	1	this	this	DET
bcpe-1791	84	2	kind	kind	NOUN
bcpe-1791	84	3	of	of	ADP
bcpe-1791	84	4	question	question	NOUN
bcpe-1791	84	5	often	often	ADV
bcpe-1791	84	6	starts	start	VERB
bcpe-1791	84	7	with	with	ADP
bcpe-1791	84	8	the	the	DET
bcpe-1791	84	9	definition	definition	NOUN
bcpe-1791	84	10	of	of	ADP
bcpe-1791	84	11	the	the	DET
bcpe-1791	84	12	ellipse	ellipse	NOUN
bcpe-1791	84	13	,	,	PUNCT
bcpe-1791	84	14	which	which	PRON
bcpe-1791	84	15	is	be	AUX
bcpe-1791	84	16	called	call	VERB
bcpe-1791	84	17	a	a	DET
bcpe-1791	84	18	"	"	PUNCT
bcpe-1791	84	19	definition	definition	NOUN
bcpe-1791	84	20	question	question	NOUN
bcpe-1791	84	21	"	"	PUNCT
bcpe-1791	84	22	and	and	CCONJ
bcpe-1791	84	23	is	be	AUX
bcpe-1791	84	24	one	one	NUM
bcpe-1791	84	25	of	of	ADP
bcpe-1791	84	26	the	the	DET
bcpe-1791	84	27	common	common	ADJ
bcpe-1791	84	28	basic	basic	ADJ
bcpe-1791	84	29	question	question	NOUN
bcpe-1791	84	30	types	type	NOUN
bcpe-1791	84	31	.	.	PUNCT
bcpe-1791	85	1	starting	start	VERB
bcpe-1791	85	2	with	with	ADP
bcpe-1791	85	3	the	the	DET
bcpe-1791	85	4	definition	definition	NOUN
bcpe-1791	85	5	,	,	PUNCT
bcpe-1791	85	6	since	since	SCONJ
bcpe-1791	85	7	the	the	DET
bcpe-1791	85	8	problem	problem	NOUN
bcpe-1791	85	9	requires	require	VERB
bcpe-1791	85	10	finding	find	VERB
bcpe-1791	85	11	the	the	DET
bcpe-1791	85	12	maximum	maximum	ADJ
bcpe-1791	85	13	value	value	NOUN
bcpe-1791	85	14	,	,	PUNCT
bcpe-1791	85	15	the	the	DET
bcpe-1791	85	16	solver	solver	NOUN
bcpe-1791	85	17	should	should	AUX
bcpe-1791	85	18	pay	pay	VERB
bcpe-1791	85	19	attention	attention	NOUN
bcpe-1791	85	20	to	to	ADP
bcpe-1791	85	21	the	the	DET
bcpe-1791	85	22	flexible	flexible	ADJ
bcpe-1791	85	23	use	use	NOUN
bcpe-1791	85	24	of	of	ADP
bcpe-1791	85	25	basic	basic	ADJ
bcpe-1791	85	26	inequalities	inequality	NOUN
bcpe-1791	85	27	or	or	CCONJ
bcpe-1791	85	28	remember	remember	VERB
bcpe-1791	85	29	the	the	DET
bcpe-1791	85	30	theorem	theorem	NOUN
bcpe-1791	85	31	:	:	PUNCT
bcpe-1791	85	32	two	two	NUM
bcpe-1791	85	33	positive	positive	ADJ
bcpe-1791	85	34	numbers	number	NOUN
bcpe-1791	85	35	,	,	PUNCT
bcpe-1791	85	36	when	when	SCONJ
bcpe-1791	85	37	the	the	DET
bcpe-1791	85	38	sum	sum	NOUN
bcpe-1791	85	39	is	be	AUX
bcpe-1791	85	40	equal	equal	ADJ
bcpe-1791	85	41	,	,	PUNCT
bcpe-1791	85	42	the	the	DET
bcpe-1791	85	43	product	product	NOUN
bcpe-1791	85	44	is	be	AUX
bcpe-1791	85	45	the	the	DET
bcpe-1791	85	46	largest	large	ADJ
bcpe-1791	85	47	,	,	PUNCT
bcpe-1791	85	48	the	the	DET
bcpe-1791	85	49	product	product	NOUN
bcpe-1791	85	50	is	be	AUX
bcpe-1791	85	51	constant	constant	ADJ
bcpe-1791	85	52	,	,	PUNCT
bcpe-1791	85	53	and	and	CCONJ
bcpe-1791	85	54	the	the	DET
bcpe-1791	85	55	sum	sum	NOUN
bcpe-1791	85	56	is	be	AUX
bcpe-1791	85	57	the	the	DET
bcpe-1791	85	58	smallest	small	ADJ
bcpe-1791	85	59	when	when	SCONJ
bcpe-1791	85	60	they	they	PRON
bcpe-1791	85	61	are	be	AUX
bcpe-1791	85	62	equal	equal	ADJ
bcpe-1791	85	63	,	,	PUNCT
bcpe-1791	85	64	or	or	CCONJ
bcpe-1791	85	65	you	you	PRON
bcpe-1791	85	66	can	can	AUX
bcpe-1791	85	67	quick	quick	VERB
bcpe-1791	85	68	solution	solution	NOUN
bcpe-1791	85	69	.	.	PUNCT
bcpe-1791	86	1	②using	②use	VERB
bcpe-1791	86	2	the	the	DET
bcpe-1791	86	3	corresponding	corresponding	ADJ
bcpe-1791	86	4	problem	problem	NOUN
bcpe-1791	86	5	-	-	PUNCT
bcpe-1791	86	6	solving	solve	VERB
bcpe-1791	86	7	method	method	NOUN
bcpe-1791	86	8	to	to	PART
bcpe-1791	86	9	solve	solve	VERB
bcpe-1791	86	10	the	the	DET
bcpe-1791	86	11	problem	problem	NOUN
bcpe-1791	86	12	:	:	PUNCT
bcpe-1791	86	13	after	after	ADP
bcpe-1791	86	14	confirming	confirm	VERB
bcpe-1791	86	15	the	the	DET
bcpe-1791	86	16	question	question	NOUN
bcpe-1791	86	17	type	type	NOUN
bcpe-1791	86	18	,	,	PUNCT
bcpe-1791	86	19	the	the	DET
bcpe-1791	86	20	problem	problem	NOUN
bcpe-1791	86	21	solver	solver	NOUN
bcpe-1791	86	22	uses	use	VERB
bcpe-1791	86	23	the	the	DET
bcpe-1791	86	24	definition	definition	NOUN
bcpe-1791	86	25	method	method	NOUN
bcpe-1791	86	26	,	,	PUNCT
bcpe-1791	86	27	which	which	PRON
bcpe-1791	86	28	can	can	AUX
bcpe-1791	86	29	be	be	AUX
bcpe-1791	86	30	obtained	obtain	VERB
bcpe-1791	86	31	from	from	ADP
bcpe-1791	86	32	the	the	DET
bcpe-1791	86	33	bcp	bcp	PROPN
bcpe-1791	86	34	education	education	PROPN
bcpe-1791	86	35	&	&	CCONJ
bcpe-1791	86	36	psychology	psychology	PROPN
bcpe-1791	86	37	erhss	erhss	PROPN
bcpe-1791	86	38	2022	2022	NUM
bcpe-1791	86	39	volume	volume	NOUN
bcpe-1791	86	40	6	6	NUM
bcpe-1791	86	41	(	(	PUNCT
bcpe-1791	86	42	2022	2022	NUM
bcpe-1791	86	43	)	)	PUNCT
bcpe-1791	86	44	211	211	NUM
bcpe-1791	86	45	definition	definition	NOUN
bcpe-1791	86	46	of	of	ADP
bcpe-1791	86	47	the	the	DET
bcpe-1791	86	48	ellipse	ellipse	NOUN
bcpe-1791	86	49	|mf1|	|mf1|	VERB
bcpe-1791	86	50	+	+	CCONJ
bcpe-1791	86	51	|mf2|	|mf2|	PROPN
bcpe-1791	86	52	=	=	SYM
bcpe-1791	86	53	2a	2a	NUM
bcpe-1791	86	54	=	=	SYM
bcpe-1791	86	55	6	6	NUM
bcpe-1791	86	56	.	.	PUNCT
bcpe-1791	87	1	after	after	ADP
bcpe-1791	87	2	|mf1|	|mf1|	PROPN
bcpe-1791	87	3	,	,	PUNCT
bcpe-1791	87	4	|mf2|the	|mf2|the	DET
bcpe-1791	87	5	relationship	relationship	NOUN
bcpe-1791	87	6	between	between	ADP
bcpe-1791	87	7	the	the	DET
bcpe-1791	87	8	sum	sum	NOUN
bcpe-1791	87	9	and	and	CCONJ
bcpe-1791	87	10	the	the	PRON
bcpe-1791	87	11	,	,	PUNCT
bcpe-1791	87	12	so	so	ADV
bcpe-1791	87	13	the	the	DET
bcpe-1791	87	14	solver	solver	NOUN
bcpe-1791	87	15	reuses	reuse	VERB
bcpe-1791	87	16	the	the	DET
bcpe-1791	87	17	variant	variant	NOUN
bcpe-1791	87	18	in	in	ADP
bcpe-1791	87	19	the	the	DET
bcpe-1791	87	20	fundamental	fundamental	ADJ
bcpe-1791	87	21	inequality	inequality	NOUN
bcpe-1791	87	22	|mf1|	|mf1|	ADP
bcpe-1791	87	23	∙	∙	PROPN
bcpe-1791	87	24	|mf2|	|mf2|	PROPN
bcpe-1791	87	25	≤	≤	PROPN
bcpe-1791	87	26	�	�	PROPN
bcpe-1791	87	27	|mf1+mf2|	|mf1+mf2|	NUM
bcpe-1791	87	28	2	2	NUM
bcpe-1791	87	29	�	�	SYM
bcpe-1791	87	30	2	2	NUM
bcpe-1791	87	31	=	=	SYM
bcpe-1791	87	32	9(if	9(if	NOUN
bcpe-1791	87	33	and	and	CCONJ
bcpe-1791	87	34	only	only	ADV
bcpe-1791	87	35	if	if	SCONJ
bcpe-1791	87	36	the	the	DET
bcpe-1791	87	37	equal	equal	ADJ
bcpe-1791	87	38	sign	sign	NOUN
bcpe-1791	87	39	holds	hold	VERB
bcpe-1791	87	40	)	)	PUNCT
bcpe-1791	87	41	.	.	PUNCT
bcpe-1791	88	1	|mf1|	|mf1|	PUNCT
bcpe-1791	89	1	=	=	PUNCT
bcpe-1791	89	2	|mf2|	|mf2|	PUNCT
bcpe-1791	89	3	=	=	SYM
bcpe-1791	89	4	3	3	NUM
bcpe-1791	89	5	in	in	ADP
bcpe-1791	89	6	teaching	teaching	NOUN
bcpe-1791	89	7	,	,	PUNCT
bcpe-1791	89	8	students	student	NOUN
bcpe-1791	89	9	with	with	ADP
bcpe-1791	89	10	a	a	DET
bcpe-1791	89	11	poor	poor	ADJ
bcpe-1791	89	12	foundation	foundation	NOUN
bcpe-1791	89	13	,	,	PUNCT
bcpe-1791	89	14	may	may	AUX
bcpe-1791	89	15	not	not	PART
bcpe-1791	89	16	be	be	AUX
bcpe-1791	89	17	able	able	ADJ
bcpe-1791	89	18	to	to	PART
bcpe-1791	89	19	derive	derive	VERB
bcpe-1791	89	20	the	the	DET
bcpe-1791	89	21	variants	variant	NOUN
bcpe-1791	89	22	of	of	ADP
bcpe-1791	89	23	basic	basic	ADJ
bcpe-1791	89	24	inequalities	inequality	NOUN
bcpe-1791	89	25	directly	directly	ADV
bcpe-1791	89	26	.	.	PUNCT
bcpe-1791	90	1	at	at	ADP
bcpe-1791	90	2	this	this	DET
bcpe-1791	90	3	time	time	NOUN
bcpe-1791	90	4	,	,	PUNCT
bcpe-1791	90	5	teachers	teacher	NOUN
bcpe-1791	90	6	need	need	VERB
bcpe-1791	90	7	to	to	PART
bcpe-1791	90	8	deduce	deduce	VERB
bcpe-1791	90	9	it	it	PRON
bcpe-1791	90	10	again	again	ADV
bcpe-1791	90	11	to	to	PART
bcpe-1791	90	12	deepen	deepen	VERB
bcpe-1791	90	13	the	the	DET
bcpe-1791	90	14	impression	impression	NOUN
bcpe-1791	90	15	of	of	ADP
bcpe-1791	90	16	the	the	DET
bcpe-1791	90	17	problem	problem	NOUN
bcpe-1791	90	18	solver	solver	ADV
bcpe-1791	90	19	.	.	PUNCT
bcpe-1791	91	1	therefore	therefore	ADV
bcpe-1791	91	2	,	,	PUNCT
bcpe-1791	91	3	the	the	DET
bcpe-1791	91	4	author	author	NOUN
bcpe-1791	91	5	found	find	VERB
bcpe-1791	91	6	that	that	SCONJ
bcpe-1791	91	7	mastering	master	VERB
bcpe-1791	91	8	the	the	DET
bcpe-1791	91	9	various	various	ADJ
bcpe-1791	91	10	variants	variant	NOUN
bcpe-1791	91	11	of	of	ADP
bcpe-1791	91	12	basic	basic	ADJ
bcpe-1791	91	13	inequalities	inequality	NOUN
bcpe-1791	91	14	is	be	AUX
bcpe-1791	91	15	essential	essential	ADJ
bcpe-1791	91	16	for	for	ADP
bcpe-1791	91	17	solving	solve	VERB
bcpe-1791	91	18	conic	conic	ADJ
bcpe-1791	91	19	sections	section	NOUN
bcpe-1791	91	20	.	.	PUNCT
bcpe-1791	92	1	the	the	DET
bcpe-1791	92	2	fixed	fix	VERB
bcpe-1791	92	3	value	value	NOUN
bcpe-1791	92	4	problem	problem	NOUN
bcpe-1791	92	5	can	can	AUX
bcpe-1791	92	6	achieve	achieve	VERB
bcpe-1791	92	7	the	the	DET
bcpe-1791	92	8	effect	effect	NOUN
bcpe-1791	92	9	of	of	ADP
bcpe-1791	92	10	solving	solve	VERB
bcpe-1791	92	11	the	the	DET
bcpe-1791	92	12	problem	problem	NOUN
bcpe-1791	92	13	faster	fast	ADV
bcpe-1791	92	14	and	and	CCONJ
bcpe-1791	92	15	make	make	VERB
bcpe-1791	92	16	the	the	DET
bcpe-1791	92	17	calculation	calculation	NOUN
bcpe-1791	92	18	easier	easy	ADJ
bcpe-1791	92	19	.	.	PUNCT
bcpe-1791	93	1	4.2	4.2	NUM
bcpe-1791	93	2	flexible	flexible	ADJ
bcpe-1791	93	3	use	use	NOUN
bcpe-1791	93	4	of	of	ADP
bcpe-1791	93	5	operation	operation	NOUN
bcpe-1791	93	6	rules	rule	NOUN
bcpe-1791	93	7	to	to	PART
bcpe-1791	93	8	solve	solve	VERB
bcpe-1791	93	9	conic	conic	ADJ
bcpe-1791	93	10	section	section	NOUN
bcpe-1791	93	11	problems	problem	NOUN
bcpe-1791	93	12	,	,	PUNCT
bcpe-1791	93	13	breaking	break	VERB
bcpe-1791	93	14	through	through	ADP
bcpe-1791	93	15	the	the	DET
bcpe-1791	93	16	level	level	NOUN
bcpe-1791	93	17	of	of	ADP
bcpe-1791	93	18	2nd	2nd	ADJ
bcpe-1791	93	19	-	-	PUNCT
bcpe-1791	93	20	level	level	NOUN
bcpe-1791	93	21	mathematical	mathematical	ADJ
bcpe-1791	93	22	operation	operation	NOUN
bcpe-1791	93	23	in	in	ADP
bcpe-1791	93	24	the	the	DET
bcpe-1791	93	25	college	college	NOUN
bcpe-1791	93	26	entrance	entrance	NOUN
bcpe-1791	93	27	examination	examination	NOUN
bcpe-1791	93	28	,	,	PUNCT
bcpe-1791	93	29	the	the	DET
bcpe-1791	93	30	conic	conic	ADJ
bcpe-1791	93	31	section	section	NOUN
bcpe-1791	93	32	questions	question	NOUN
bcpe-1791	93	33	are	be	AUX
bcpe-1791	93	34	generally	generally	ADV
bcpe-1791	93	35	more	more	ADV
bcpe-1791	93	36	comprehensive	comprehensive	ADJ
bcpe-1791	93	37	,	,	PUNCT
bcpe-1791	93	38	the	the	DET
bcpe-1791	93	39	content	content	NOUN
bcpe-1791	93	40	of	of	ADP
bcpe-1791	93	41	the	the	DET
bcpe-1791	93	42	investigation	investigation	NOUN
bcpe-1791	93	43	is	be	AUX
bcpe-1791	93	44	relatively	relatively	ADV
bcpe-1791	93	45	rich	rich	ADJ
bcpe-1791	93	46	and	and	CCONJ
bcpe-1791	93	47	comprehensive	comprehensive	ADJ
bcpe-1791	93	48	,	,	PUNCT
bcpe-1791	93	49	and	and	CCONJ
bcpe-1791	93	50	the	the	DET
bcpe-1791	93	51	characteristics	characteristic	NOUN
bcpe-1791	93	52	of	of	ADP
bcpe-1791	93	53	the	the	DET
bcpe-1791	93	54	proposition	proposition	NOUN
bcpe-1791	93	55	are	be	AUX
bcpe-1791	93	56	relatively	relatively	ADV
bcpe-1791	93	57	distinct	distinct	ADJ
bcpe-1791	93	58	.	.	PUNCT
bcpe-1791	94	1	therefore	therefore	ADV
bcpe-1791	94	2	,	,	PUNCT
bcpe-1791	94	3	the	the	DET
bcpe-1791	94	4	problem	problem	NOUN
bcpe-1791	94	5	solver	solver	VERB
bcpe-1791	94	6	should	should	AUX
bcpe-1791	94	7	master	master	VERB
bcpe-1791	94	8	the	the	DET
bcpe-1791	94	9	basic	basic	ADJ
bcpe-1791	94	10	operation	operation	NOUN
bcpe-1791	94	11	rules	rule	NOUN
bcpe-1791	94	12	and	and	CCONJ
bcpe-1791	94	13	formulas	formula	NOUN
bcpe-1791	94	14	and	and	CCONJ
bcpe-1791	94	15	use	use	VERB
bcpe-1791	94	16	them	they	PRON
bcpe-1791	94	17	flexibly	flexibly	ADV
bcpe-1791	94	18	in	in	ADP
bcpe-1791	94	19	solving	solve	VERB
bcpe-1791	94	20	problems	problem	NOUN
bcpe-1791	94	21	.	.	PUNCT
bcpe-1791	95	1	the	the	DET
bcpe-1791	95	2	main	main	ADJ
bcpe-1791	95	3	features	feature	NOUN
bcpe-1791	95	4	of	of	ADP
bcpe-1791	95	5	this	this	DET
bcpe-1791	95	6	type	type	NOUN
bcpe-1791	95	7	of	of	ADP
bcpe-1791	95	8	proposition	proposition	NOUN
bcpe-1791	95	9	are	be	AUX
bcpe-1791	95	10	:	:	PUNCT
bcpe-1791	95	11	firstly	firstly	ADV
bcpe-1791	95	12	,	,	PUNCT
bcpe-1791	95	13	a	a	DET
bcpe-1791	95	14	"	"	PUNCT
bcpe-1791	95	15	chain	chain	NOUN
bcpe-1791	95	16	problem	problem	NOUN
bcpe-1791	95	17	"	"	PUNCT
bcpe-1791	95	18	is	be	AUX
bcpe-1791	95	19	designed	design	VERB
bcpe-1791	95	20	based	base	VERB
bcpe-1791	95	21	on	on	ADP
bcpe-1791	95	22	the	the	DET
bcpe-1791	95	23	intersection	intersection	NOUN
bcpe-1791	95	24	of	of	ADP
bcpe-1791	95	25	a	a	DET
bcpe-1791	95	26	straight	straight	ADJ
bcpe-1791	95	27	line	line	NOUN
bcpe-1791	95	28	passing	pass	VERB
bcpe-1791	95	29	through	through	ADP
bcpe-1791	95	30	a	a	DET
bcpe-1791	95	31	particular	particular	ADJ
bcpe-1791	95	32	point	point	NOUN
bcpe-1791	95	33	and	and	CCONJ
bcpe-1791	95	34	a	a	DET
bcpe-1791	95	35	conic	conic	ADJ
bcpe-1791	95	36	curve	curve	NOUN
bcpe-1791	95	37	.	.	PUNCT
bcpe-1791	96	1	combined	combine	VERB
bcpe-1791	96	2	with	with	ADP
bcpe-1791	96	3	the	the	DET
bcpe-1791	96	4	definition	definition	NOUN
bcpe-1791	96	5	and	and	CCONJ
bcpe-1791	96	6	geometric	geometric	ADJ
bcpe-1791	96	7	properties	property	NOUN
bcpe-1791	96	8	of	of	ADP
bcpe-1791	96	9	a	a	DET
bcpe-1791	96	10	curve	curve	NOUN
bcpe-1791	96	11	,	,	PUNCT
bcpe-1791	96	12	the	the	DET
bcpe-1791	96	13	standard	standard	ADJ
bcpe-1791	96	14	equation	equation	NOUN
bcpe-1791	96	15	of	of	ADP
bcpe-1791	96	16	the	the	DET
bcpe-1791	96	17	curve	curve	NOUN
bcpe-1791	96	18	is	be	AUX
bcpe-1791	96	19	determined	determine	VERB
bcpe-1791	96	20	in	in	ADP
bcpe-1791	96	21	advance	advance	NOUN
bcpe-1791	96	22	by	by	ADP
bcpe-1791	96	23	the	the	DET
bcpe-1791	96	24	method	method	NOUN
bcpe-1791	96	25	of	of	ADP
bcpe-1791	96	26	undetermined	undetermined	ADJ
bcpe-1791	96	27	coefficients	coefficient	NOUN
bcpe-1791	96	28	,	,	PUNCT
bcpe-1791	96	29	and	and	CCONJ
bcpe-1791	96	30	further	further	ADJ
bcpe-1791	96	31	research	research	NOUN
bcpe-1791	96	32	is	be	AUX
bcpe-1791	96	33	carried	carry	VERB
bcpe-1791	96	34	out	out	ADP
bcpe-1791	96	35	.	.	PUNCT
bcpe-1791	97	1	chord	chord	PROPN
bcpe-1791	97	2	length	length	PROPN
bcpe-1791	97	3	,	,	PUNCT
bcpe-1791	97	4	figure	figure	NOUN
bcpe-1791	97	5	area	area	NOUN
bcpe-1791	97	6	,	,	PUNCT
bcpe-1791	97	7	maximum	maximum	ADJ
bcpe-1791	97	8	value	value	NOUN
bcpe-1791	97	9	,	,	PUNCT
bcpe-1791	97	10	range	range	NOUN
bcpe-1791	97	11	of	of	ADP
bcpe-1791	97	12	values	value	NOUN
bcpe-1791	97	13	,	,	PUNCT
bcpe-1791	97	14	etc	etc	X
bcpe-1791	97	15	.	.	X
bcpe-1791	97	16	secondly	secondly	ADV
bcpe-1791	97	17	,	,	PUNCT
bcpe-1791	97	18	design	design	NOUN
bcpe-1791	97	19	"	"	PUNCT
bcpe-1791	97	20	chain	chain	NOUN
bcpe-1791	97	21	questions	question	NOUN
bcpe-1791	97	22	"	"	PUNCT
bcpe-1791	97	23	based	base	VERB
bcpe-1791	97	24	on	on	ADP
bcpe-1791	97	25	the	the	DET
bcpe-1791	97	26	positional	positional	ADJ
bcpe-1791	97	27	relationship	relationship	NOUN
bcpe-1791	97	28	of	of	ADP
bcpe-1791	97	29	different	different	ADJ
bcpe-1791	97	30	curves	curve	NOUN
bcpe-1791	97	31	(	(	PUNCT
bcpe-1791	97	32	ellipse	ellipse	NOUN
bcpe-1791	97	33	,	,	PUNCT
bcpe-1791	97	34	hyperbola	hyperbola	PROPN
bcpe-1791	97	35	,	,	PUNCT
bcpe-1791	97	36	parabola	parabola	PROPN
bcpe-1791	97	37	)	)	PUNCT
bcpe-1791	97	38	,	,	PUNCT
bcpe-1791	97	39	combine	combine	VERB
bcpe-1791	97	40	the	the	DET
bcpe-1791	97	41	definition	definition	NOUN
bcpe-1791	97	42	and	and	CCONJ
bcpe-1791	97	43	geometric	geometric	ADJ
bcpe-1791	97	44	properties	property	NOUN
bcpe-1791	97	45	of	of	ADP
bcpe-1791	97	46	curves	curve	NOUN
bcpe-1791	97	47	and	and	CCONJ
bcpe-1791	97	48	use	use	VERB
bcpe-1791	97	49	the	the	DET
bcpe-1791	97	50	method	method	NOUN
bcpe-1791	97	51	of	of	ADP
bcpe-1791	97	52	undetermined	undetermined	ADJ
bcpe-1791	97	53	coefficient	coefficient	NOUN
bcpe-1791	97	54	.	.	PUNCT
bcpe-1791	98	1	firstly	firstly	ADV
bcpe-1791	98	2	,	,	PUNCT
bcpe-1791	98	3	it	it	PRON
bcpe-1791	98	4	determines	determine	VERB
bcpe-1791	98	5	the	the	DET
bcpe-1791	98	6	standard	standard	ADJ
bcpe-1791	98	7	equation	equation	NOUN
bcpe-1791	98	8	of	of	ADP
bcpe-1791	98	9	the	the	DET
bcpe-1791	98	10	curve	curve	NOUN
bcpe-1791	98	11	and	and	CCONJ
bcpe-1791	98	12	further	further	ADJ
bcpe-1791	98	13	studies	study	NOUN
bcpe-1791	98	14	the	the	DET
bcpe-1791	98	15	chord	chord	PROPN
bcpe-1791	98	16	length	length	NOUN
bcpe-1791	98	17	,	,	PUNCT
bcpe-1791	98	18	figure	figure	NOUN
bcpe-1791	98	19	area	area	NOUN
bcpe-1791	98	20	,	,	PUNCT
bcpe-1791	98	21	maximum	maximum	ADJ
bcpe-1791	98	22	value	value	NOUN
bcpe-1791	98	23	,	,	PUNCT
bcpe-1791	98	24	value	value	NOUN
bcpe-1791	98	25	range	range	NOUN
bcpe-1791	98	26	,	,	PUNCT
bcpe-1791	98	27	etc	etc	X
bcpe-1791	98	28	.	.	X
bcpe-1791	99	1	the	the	DET
bcpe-1791	99	2	third	third	NOUN
bcpe-1791	99	3	is	be	AUX
bcpe-1791	99	4	the	the	DET
bcpe-1791	99	5	positional	positional	ADJ
bcpe-1791	99	6	relationship	relationship	NOUN
bcpe-1791	99	7	between	between	ADP
bcpe-1791	99	8	the	the	DET
bcpe-1791	99	9	straight	straight	ADJ
bcpe-1791	99	10	line	line	NOUN
bcpe-1791	99	11	and	and	CCONJ
bcpe-1791	99	12	the	the	DET
bcpe-1791	99	13	conic	conic	ADJ
bcpe-1791	99	14	section	section	NOUN
bcpe-1791	99	15	,	,	PUNCT
bcpe-1791	99	16	which	which	PRON
bcpe-1791	99	17	is	be	AUX
bcpe-1791	99	18	comprehensive	comprehensive	ADJ
bcpe-1791	99	19	.	.	PUNCT
bcpe-1791	100	1	the	the	DET
bcpe-1791	100	2	following	following	NOUN
bcpe-1791	100	3	uses	use	VERB
bcpe-1791	100	4	an	an	DET
bcpe-1791	100	5	example	example	NOUN
bcpe-1791	100	6	problem	problem	NOUN
bcpe-1791	100	7	as	as	ADP
bcpe-1791	100	8	a	a	DET
bcpe-1791	100	9	teaching	teaching	NOUN
bcpe-1791	100	10	case	case	NOUN
bcpe-1791	100	11	to	to	PART
bcpe-1791	100	12	illustrate	illustrate	VERB
bcpe-1791	100	13	:	:	PUNCT
bcpe-1791	100	14	example	example	NOUN
bcpe-1791	100	15	2	2	NUM
bcpe-1791	100	16	:	:	PUNCT
bcpe-1791	100	17	(	(	PUNCT
bcpe-1791	100	18	guangdong	guangdong	PROPN
bcpe-1791	100	19	province	province	PROPN
bcpe-1791	100	20	2022	2022	NUM
bcpe-1791	100	21	senior	senior	ADJ
bcpe-1791	100	22	high	high	ADJ
bcpe-1791	100	23	school	school	NOUN
bcpe-1791	100	24	one	one	NUM
bcpe-1791	100	25	modular	modular	ADJ
bcpe-1791	100	26	mathematics	mathematic	NOUN
bcpe-1791	100	27	test	test	NOUN
bcpe-1791	100	28	question	question	NOUN
bcpe-1791	100	29	2	2	NUM
bcpe-1791	100	30	2	2	NUM
bcpe-1791	100	31	)	)	PUNCT
bcpe-1791	100	32	given	give	VERB
bcpe-1791	100	33	an	an	DET
bcpe-1791	100	34	ellipse	ellipse	NOUN
bcpe-1791	100	35	c	c	NOUN
bcpe-1791	100	36	:	:	PUNCT
bcpe-1791	100	37	x	x	SYM
bcpe-1791	100	38	2	2	NUM
bcpe-1791	100	39	a2	a2	NOUN
bcpe-1791	100	40	+	+	CCONJ
bcpe-1791	100	41	y2	y2	NOUN
bcpe-1791	100	42	b2	b2	NOUN
bcpe-1791	100	43	=	=	SYM
bcpe-1791	100	44	1(a	1(a	NUM
bcpe-1791	100	45	>	>	X
bcpe-1791	100	46	b	b	X
bcpe-1791	100	47	>	>	X
bcpe-1791	100	48	0	0	NUM
bcpe-1791	100	49	)	)	PUNCT
bcpe-1791	100	50	,	,	PUNCT
bcpe-1791	100	51	its	its	PRON
bcpe-1791	100	52	right	right	ADJ
bcpe-1791	100	53	focus	focus	NOUN
bcpe-1791	100	54	is	be	AUX
bcpe-1791	100	55	f(√3	f(√3	NOUN
bcpe-1791	100	56	,	,	PUNCT
bcpe-1791	100	57	0	0	NUM
bcpe-1791	100	58	)	)	PUNCT
bcpe-1791	100	59	,	,	PUNCT
bcpe-1791	100	60	the	the	DET
bcpe-1791	100	61	point	point	NOUN
bcpe-1791	100	62	is	be	AUX
bcpe-1791	100	63	mon	mon	PROPN
bcpe-1791	100	64	,	,	PUNCT
bcpe-1791	100	65	the	the	DET
bcpe-1791	100	66	circle	circle	NOUN
bcpe-1791	100	67	x2	x2	PROPN
bcpe-1791	101	1	+	+	CCONJ
bcpe-1791	101	2	y2	y2	NOUN
bcpe-1791	101	3	=	=	SYM
bcpe-1791	102	1	b2but	b2but	NOUN
bcpe-1791	102	2	not	not	PART
bcpe-1791	102	3	yon	yon	VERB
bcpe-1791	102	4	the	the	DET
bcpe-1791	102	5	axis	axis	NOUN
bcpe-1791	102	6	and	and	CCONJ
bcpe-1791	102	7	mthe	mthe	ADJ
bcpe-1791	102	8	tangent	tangent	NOUN
bcpe-1791	102	9	of	of	ADP
bcpe-1791	102	10	the	the	DET
bcpe-1791	102	11	circle	circle	NOUN
bcpe-1791	102	12	through	through	ADP
bcpe-1791	102	13	the	the	DET
bcpe-1791	102	14	point	point	NOUN
bcpe-1791	102	15	intersects	intersect	VERB
bcpe-1791	102	16	the	the	DET
bcpe-1791	102	17	ellipse	ellipse	NOUN
bcpe-1791	102	18	at	at	ADP
bcpe-1791	102	19	ptwo	ptwo	ADJ
bcpe-1791	102	20	qpoints	qpoint	NOUN
bcpe-1791	102	21	,	,	PUNCT
bcpe-1791	102	22	when	when	SCONJ
bcpe-1791	102	23	when	when	SCONJ
bcpe-1791	102	24	clicked	click	VERB
bcpe-1791	102	25	mon	mon	PROPN
bcpe-1791	102	26	an	an	DET
bcpe-1791	102	27	xaxis	xaxis	PROPN
bcpe-1791	102	28	,	,	PUNCT
bcpe-1791	102	29	|pq|	|pq|	PROPN
bcpe-1791	102	30	=	=	SYM
bcpe-1791	102	31	√3	√3	PROPN
bcpe-1791	102	32	.	.	PUNCT
bcpe-1791	103	1	(	(	PUNCT
bcpe-1791	103	2	1	1	X
bcpe-1791	103	3	)	)	PUNCT
bcpe-1791	103	4	the	the	DET
bcpe-1791	103	5	standard	standard	ADJ
bcpe-1791	103	6	equation	equation	NOUN
bcpe-1791	103	7	of	of	ADP
bcpe-1791	103	8	the	the	DET
bcpe-1791	103	9	ellipse	ellipse	NOUN
bcpe-1791	103	10	c	c	NOUN
bcpe-1791	103	11	(	(	PUNCT
bcpe-1791	103	12	2	2	NUM
bcpe-1791	103	13	)	)	PUNCT
bcpe-1791	103	14	when	when	SCONJ
bcpe-1791	103	15	the	the	DET
bcpe-1791	103	16	point	point	NOUN
bcpe-1791	103	17	mmoves	mmove	VERB
bcpe-1791	103	18	on	on	ADP
bcpe-1791	103	19	the	the	DET
bcpe-1791	103	20	circle	circle	NOUN
bcpe-1791	103	21	,	,	PUNCT
bcpe-1791	103	22	try	try	VERB
bcpe-1791	103	23	to	to	PART
bcpe-1791	103	24	explore	explore	VERB
bcpe-1791	103	25	△	△	PUNCT
bcpe-1791	103	26	fpqthe	fpqthe	DET
bcpe-1791	103	27	value	value	NOUN
bcpe-1791	103	28	range	range	NOUN
bcpe-1791	103	29	of	of	ADP
bcpe-1791	103	30	the	the	DET
bcpe-1791	103	31	perimeter	perimeter	NOUN
bcpe-1791	103	32	.	.	PUNCT
bcpe-1791	104	1	the	the	DET
bcpe-1791	104	2	teacher	teacher	NOUN
bcpe-1791	104	3	's	's	PART
bcpe-1791	104	4	method	method	NOUN
bcpe-1791	104	5	guide	guide	NOUN
bcpe-1791	104	6	:	:	PUNCT
bcpe-1791	104	7	①confirm	①confirm	VERB
bcpe-1791	104	8	the	the	DET
bcpe-1791	104	9	question	question	NOUN
bcpe-1791	104	10	type	type	NOUN
bcpe-1791	104	11	:	:	PUNCT
bcpe-1791	104	12	although	although	SCONJ
bcpe-1791	104	13	this	this	DET
bcpe-1791	104	14	question	question	NOUN
bcpe-1791	104	15	seeks	seek	VERB
bcpe-1791	104	16	the	the	DET
bcpe-1791	104	17	range	range	NOUN
bcpe-1791	104	18	of	of	ADP
bcpe-1791	104	19	values	value	NOUN
bcpe-1791	104	20	,	,	PUNCT
bcpe-1791	104	21	it	it	PRON
bcpe-1791	104	22	is	be	AUX
bcpe-1791	104	23	a	a	DET
bcpe-1791	104	24	further	further	ADJ
bcpe-1791	104	25	investigation	investigation	NOUN
bcpe-1791	104	26	of	of	ADP
bcpe-1791	104	27	the	the	DET
bcpe-1791	104	28	problem	problem	NOUN
bcpe-1791	104	29	of	of	ADP
bcpe-1791	104	30	finding	find	VERB
bcpe-1791	104	31	position	position	NOUN
bcpe-1791	104	32	parameters	parameter	NOUN
bcpe-1791	104	33	by	by	ADP
bcpe-1791	104	34	combining	combine	VERB
bcpe-1791	104	35	conic	conic	ADJ
bcpe-1791	104	36	section	section	NOUN
bcpe-1791	104	37	equations	equation	NOUN
bcpe-1791	104	38	,	,	PUNCT
bcpe-1791	104	39	and	and	CCONJ
bcpe-1791	104	40	it	it	PRON
bcpe-1791	104	41	is	be	AUX
bcpe-1791	104	42	highly	highly	ADV
bcpe-1791	104	43	comprehensive	comprehensive	ADJ
bcpe-1791	104	44	.	.	PUNCT
bcpe-1791	105	1	learners	learner	NOUN
bcpe-1791	105	2	often	often	ADV
bcpe-1791	105	3	learn	learn	VERB
bcpe-1791	105	4	many	many	ADJ
bcpe-1791	105	5	formulas	formula	NOUN
bcpe-1791	105	6	about	about	ADP
bcpe-1791	105	7	conic	conic	ADJ
bcpe-1791	105	8	sections	section	NOUN
bcpe-1791	105	9	when	when	SCONJ
bcpe-1791	105	10	learning	learn	VERB
bcpe-1791	105	11	conic	conic	ADJ
bcpe-1791	105	12	sections	section	NOUN
bcpe-1791	105	13	further	far	ADV
bcpe-1791	105	14	.	.	PUNCT
bcpe-1791	106	1	these	these	DET
bcpe-1791	106	2	formulas	formula	NOUN
bcpe-1791	106	3	will	will	AUX
bcpe-1791	106	4	help	help	VERB
bcpe-1791	106	5	us	we	PRON
bcpe-1791	106	6	save	save	VERB
bcpe-1791	106	7	many	many	ADJ
bcpe-1791	106	8	steps	step	NOUN
bcpe-1791	106	9	in	in	ADP
bcpe-1791	106	10	solving	solve	VERB
bcpe-1791	106	11	problems	problem	NOUN
bcpe-1791	106	12	and	and	CCONJ
bcpe-1791	106	13	are	be	AUX
bcpe-1791	106	14	also	also	ADV
bcpe-1791	106	15	the	the	DET
bcpe-1791	106	16	requirements	requirement	NOUN
bcpe-1791	106	17	that	that	SCONJ
bcpe-1791	106	18	solvers	solver	NOUN
bcpe-1791	106	19	need	need	VERB
bcpe-1791	106	20	to	to	PART
bcpe-1791	106	21	meet	meet	VERB
bcpe-1791	106	22	in	in	ADP
bcpe-1791	106	23	the	the	DET
bcpe-1791	106	24	second	second	ADJ
bcpe-1791	106	25	-	-	PUNCT
bcpe-1791	106	26	level	level	NOUN
bcpe-1791	106	27	operation	operation	NOUN
bcpe-1791	106	28	level	level	NOUN
bcpe-1791	106	29	,	,	PUNCT
bcpe-1791	106	30	such	such	ADJ
bcpe-1791	106	31	as	as	ADP
bcpe-1791	106	32	the	the	DET
bcpe-1791	106	33	chord	chord	NOUN
bcpe-1791	106	34	length	length	NOUN
bcpe-1791	106	35	formula	formula	NOUN
bcpe-1791	106	36	�	�	PROPN
bcpe-1791	107	1	[	[	X
bcpe-1791	107	2	(	(	PUNCT
bcpe-1791	107	3	x1	x1	PROPN
bcpe-1791	107	4	+	+	CCONJ
bcpe-1791	107	5	x2)2	x2)2	CCONJ
bcpe-1791	107	6	−	−	NUM
bcpe-1791	107	7	4x1x2](1	4x1x2](1	NUM
bcpe-1791	107	8	+	+	NUM
bcpe-1791	107	9	k2	k2	ADJ
bcpe-1791	107	10	)	)	PUNCT
bcpe-1791	107	11	.	.	PUNCT
bcpe-1791	108	1	②	②	NUM
bcpe-1791	108	2	using	use	VERB
bcpe-1791	108	3	the	the	DET
bcpe-1791	108	4	corresponding	corresponding	ADJ
bcpe-1791	108	5	problem	problem	NOUN
bcpe-1791	108	6	-	-	PUNCT
bcpe-1791	108	7	solving	solve	VERB
bcpe-1791	108	8	method	method	NOUN
bcpe-1791	108	9	to	to	PART
bcpe-1791	108	10	solve	solve	VERB
bcpe-1791	108	11	the	the	DET
bcpe-1791	108	12	problem	problem	NOUN
bcpe-1791	108	13	:	:	PUNCT
bcpe-1791	108	14	set	set	VERB
bcpe-1791	108	15	p(x1	p(x1	NOUN
bcpe-1791	108	16	,	,	PUNCT
bcpe-1791	108	17	y1	y1	NOUN
bcpe-1791	108	18	)	)	PUNCT
bcpe-1791	108	19	,	,	PUNCT
bcpe-1791	108	20	q(x2	q(x2	NOUN
bcpe-1791	108	21	,	,	PUNCT
bcpe-1791	108	22	y2	y2	PROPN
bcpe-1791	108	23	)	)	PUNCT
bcpe-1791	108	24	.	.	PUNCT
bcpe-1791	109	1	it	it	PRON
bcpe-1791	109	2	is	be	AUX
bcpe-1791	109	3	indicated	indicate	VERB
bcpe-1791	109	4	△	△	PROPN
bcpe-1791	109	5	fpqthe	fpqthe	DET
bcpe-1791	109	6	perimeter	perimeter	NOUN
bcpe-1791	109	7	,	,	PUNCT
bcpe-1791	109	8	that	that	ADV
bcpe-1791	109	9	is	is	ADV
bcpe-1791	109	10	,	,	PUNCT
bcpe-1791	109	11	|pq|the	|pq|the	DET
bcpe-1791	109	12	|pf|length	|pf|length	NOUN
bcpe-1791	109	13	|qf|of	|qf|of	ADV
bcpe-1791	109	14	,	,	PUNCT
bcpe-1791	109	15	,	,	PUNCT
bcpe-1791	109	16	and	and	CCONJ
bcpe-1791	109	17	then	then	ADV
bcpe-1791	109	18	classifies	classify	VERB
bcpe-1791	109	19	and	and	CCONJ
bcpe-1791	109	20	discusses	discuss	VERB
bcpe-1791	109	21	the	the	DET
bcpe-1791	109	22	absence	absence	NOUN
bcpe-1791	109	23	and	and	CCONJ
bcpe-1791	109	24	existence	existence	NOUN
bcpe-1791	109	25	of	of	ADP
bcpe-1791	109	26	the	the	DET
bcpe-1791	109	27	slope	slope	NOUN
bcpe-1791	109	28	of	of	ADP
bcpe-1791	109	29	the	the	DET
bcpe-1791	109	30	straight	straight	ADJ
bcpe-1791	109	31	line	line	NOUN
bcpe-1791	109	32	.	.	PUNCT
bcpe-1791	110	1	it	it	PRON
bcpe-1791	110	2	is	be	AUX
bcpe-1791	110	3	combined	combine	VERB
bcpe-1791	110	4	the	the	DET
bcpe-1791	110	5	straight	straight	ADJ
bcpe-1791	110	6	line	line	NOUN
bcpe-1791	110	7	and	and	CCONJ
bcpe-1791	110	8	the	the	DET
bcpe-1791	110	9	ellipse	ellipse	NOUN
bcpe-1791	110	10	equation	equation	NOUN
bcpe-1791	110	11	to	to	PART
bcpe-1791	110	12	obtain	obtain	VERB
bcpe-1791	110	13	the	the	DET
bcpe-1791	110	14	root	root	NOUN
bcpe-1791	110	15	and	and	CCONJ
bcpe-1791	110	16	the	the	DET
bcpe-1791	110	17	ellipse	ellipse	NOUN
bcpe-1791	110	18	equation	equation	NOUN
bcpe-1791	110	19	.	.	PUNCT
bcpe-1791	111	1	the	the	DET
bcpe-1791	111	2	relational	relational	ADJ
bcpe-1791	111	3	expression	expression	NOUN
bcpe-1791	111	4	of	of	ADP
bcpe-1791	111	5	the	the	DET
bcpe-1791	111	6	coefficient	coefficient	NOUN
bcpe-1791	111	7	,	,	PUNCT
bcpe-1791	111	8	the	the	DET
bcpe-1791	111	9	obtained	obtain	VERB
bcpe-1791	111	10	expression	expression	NOUN
bcpe-1791	111	11	△	△	NOUN
bcpe-1791	111	12	fpqof	fpqof	NOUN
bcpe-1791	111	13	the	the	DET
bcpe-1791	111	14	perimeter	perimeter	NOUN
bcpe-1791	111	15	:	:	PUNCT
bcpe-1791	111	16	4	4	NUM
bcpe-1791	111	17	+	+	SYM
bcpe-1791	111	18	8√3	8√3	NUM
bcpe-1791	111	19	m	m	NOUN
bcpe-1791	111	20	k+	k+	NOUN
bcpe-1791	111	21	3k	3k	NUM
bcpe-1791	111	22	m	m	NOUN
bcpe-1791	111	23	,	,	PUNCT
bcpe-1791	111	24	which	which	PRON
bcpe-1791	111	25	combines	combine	VERB
bcpe-1791	111	26	the	the	DET
bcpe-1791	111	27	basic	basic	ADJ
bcpe-1791	111	28	inequality	inequality	NOUN
bcpe-1791	111	29	,	,	PUNCT
bcpe-1791	111	30	because	because	SCONJ
bcpe-1791	111	31	km	km	PROPN
bcpe-1791	111	32	>	>	X
bcpe-1791	111	33	0	0	NUM
bcpe-1791	111	34	,	,	PUNCT
bcpe-1791	111	35	so	so	ADV
bcpe-1791	111	36	m	m	VERB
bcpe-1791	111	37	k	k	X
bcpe-1791	112	1	+	+	CCONJ
bcpe-1791	113	1	3k	3k	PRON
bcpe-1791	113	2	m	m	VERB
bcpe-1791	113	3	⩾	⩾	NOUN
bcpe-1791	114	1	2√3	2√3	NUM
bcpe-1791	114	2	,	,	PUNCT
bcpe-1791	114	3	if	if	SCONJ
bcpe-1791	114	4	and	and	CCONJ
bcpe-1791	114	5	only	only	ADV
bcpe-1791	114	6	if	if	SCONJ
bcpe-1791	114	7	m	m	VERB
bcpe-1791	114	8	k	k	NOUN
bcpe-1791	114	9	=	=	X
bcpe-1791	115	1	3k	3k	X
bcpe-1791	115	2	m	m	NOUN
bcpe-1791	115	3	,	,	PUNCT
bcpe-1791	115	4	that	that	ADV
bcpe-1791	115	5	is	is	ADV
bcpe-1791	115	6	bcp	bcp	PROPN
bcpe-1791	115	7	education	education	PROPN
bcpe-1791	115	8	&	&	CCONJ
bcpe-1791	115	9	psychology	psychology	PROPN
bcpe-1791	115	10	erhss	erhss	PROPN
bcpe-1791	115	11	2022	2022	NUM
bcpe-1791	115	12	volume	volume	NOUN
bcpe-1791	115	13	6	6	NUM
bcpe-1791	115	14	(	(	PUNCT
bcpe-1791	115	15	2022	2022	NUM
bcpe-1791	115	16	)	)	PUNCT
bcpe-1791	115	17	212	212	NUM
bcpe-1791	115	18	�	�	PROPN
bcpe-1791	115	19	m	m	NOUN
bcpe-1791	115	20	=	=	NOUN
bcpe-1791	115	21	√6	√6	ADJ
bcpe-1791	116	1	2	2	NUM
bcpe-1791	116	2	k	k	NOUN
bcpe-1791	116	3	=	=	SYM
bcpe-1791	116	4	√2	√2	NOUN
bcpe-1791	116	5	2	2	NUM
bcpe-1791	116	6	,	,	PUNCT
bcpe-1791	116	7	�	�	PROPN
bcpe-1791	116	8	m	m	NOUN
bcpe-1791	116	9	=	=	NOUN
bcpe-1791	116	10	−√6	−√6	NOUN
bcpe-1791	116	11	2	2	NUM
bcpe-1791	116	12	k	k	NOUN
bcpe-1791	116	13	=	=	NOUN
bcpe-1791	116	14	−√2	−√2	NOUN
bcpe-1791	116	15	2	2	NUM
bcpe-1791	116	16	take	take	VERB
bcpe-1791	116	17	the	the	DET
bcpe-1791	116	18	equal	equal	ADJ
bcpe-1791	116	19	sign	sign	NOUN
bcpe-1791	116	20	.	.	PUNCT
bcpe-1791	117	1	therefore	therefore	ADV
bcpe-1791	117	2	4	4	NUM
bcpe-1791	117	3	<	<	SYM
bcpe-1791	117	4	4	4	NUM
bcpe-1791	117	5	+	+	NUM
bcpe-1791	117	6	8√3	8√3	NUM
bcpe-1791	117	7	m	m	NOUN
bcpe-1791	117	8	k+	k+	NOUN
bcpe-1791	117	9	3k	3k	PROPN
bcpe-1791	117	10	m	m	VERB
bcpe-1791	117	11	⩽	⩽	ADJ
bcpe-1791	117	12	8	8	NUM
bcpe-1791	117	13	,	,	PUNCT
bcpe-1791	117	14	△	△	X
bcpe-1791	117	15	fpqthe	fpqthe	DET
bcpe-1791	117	16	value	value	NOUN
bcpe-1791	117	17	range	range	NOUN
bcpe-1791	117	18	of	of	ADP
bcpe-1791	117	19	the	the	DET
bcpe-1791	117	20	perimeter	perimeter	NOUN
bcpe-1791	117	21	is	be	AUX
bcpe-1791	117	22	(	(	PUNCT
bcpe-1791	117	23	4，8	4，8	NOUN
bcpe-1791	117	24	]	]	PUNCT
bcpe-1791	117	25	,	,	PUNCT
bcpe-1791	117	26	and	and	CCONJ
bcpe-1791	117	27	the	the	DET
bcpe-1791	117	28	answer	answer	NOUN
bcpe-1791	117	29	is	be	AUX
bcpe-1791	117	30	obtained	obtain	VERB
bcpe-1791	117	31	.	.	PUNCT
bcpe-1791	118	1	4.3	4.3	NUM
bcpe-1791	118	2	multiple	multiple	ADJ
bcpe-1791	118	3	solutions	solution	NOUN
bcpe-1791	118	4	to	to	ADP
bcpe-1791	118	5	one	one	NUM
bcpe-1791	118	6	question	question	NOUN
bcpe-1791	118	7	,	,	PUNCT
bcpe-1791	118	8	learn	learn	VERB
bcpe-1791	118	9	to	to	PART
bcpe-1791	118	10	reflect	reflect	VERB
bcpe-1791	118	11	and	and	CCONJ
bcpe-1791	118	12	break	break	VERB
bcpe-1791	118	13	through	through	ADP
bcpe-1791	118	14	the	the	DET
bcpe-1791	118	15	level	level	NOUN
bcpe-1791	118	16	of	of	ADP
bcpe-1791	118	17	mathematical	mathematical	ADJ
bcpe-1791	118	18	operations	operation	NOUN
bcpe-1791	118	19	at	at	ADP
bcpe-1791	118	20	level	level	NOUN
bcpe-1791	118	21	3	3	NUM
bcpe-1791	118	22	conic	conic	ADJ
bcpe-1791	118	23	questions	question	NOUN
bcpe-1791	118	24	are	be	AUX
bcpe-1791	118	25	highly	highly	ADV
bcpe-1791	118	26	comprehensive	comprehensive	ADJ
bcpe-1791	118	27	and	and	CCONJ
bcpe-1791	118	28	involve	involve	VERB
bcpe-1791	118	29	many	many	ADJ
bcpe-1791	118	30	knowledge	knowledge	NOUN
bcpe-1791	118	31	points	point	NOUN
bcpe-1791	118	32	.	.	PUNCT
bcpe-1791	119	1	often	often	ADV
bcpe-1791	119	2	,	,	PUNCT
bcpe-1791	119	3	the	the	DET
bcpe-1791	119	4	solution	solution	NOUN
bcpe-1791	119	5	to	to	ADP
bcpe-1791	119	6	a	a	DET
bcpe-1791	119	7	question	question	NOUN
bcpe-1791	119	8	is	be	AUX
bcpe-1791	119	9	not	not	PART
bcpe-1791	119	10	unique	unique	ADJ
bcpe-1791	119	11	.	.	PUNCT
bcpe-1791	120	1	therefore	therefore	ADV
bcpe-1791	120	2	,	,	PUNCT
bcpe-1791	120	3	teachers	teacher	NOUN
bcpe-1791	120	4	should	should	AUX
bcpe-1791	120	5	not	not	PART
bcpe-1791	120	6	be	be	AUX
bcpe-1791	120	7	limited	limit	VERB
bcpe-1791	120	8	to	to	ADP
bcpe-1791	120	9	standard	standard	ADJ
bcpe-1791	120	10	answers	answer	NOUN
bcpe-1791	120	11	when	when	SCONJ
bcpe-1791	120	12	teaching	teaching	NOUN
bcpe-1791	120	13	but	but	CCONJ
bcpe-1791	120	14	should	should	AUX
bcpe-1791	120	15	expand	expand	VERB
bcpe-1791	120	16	students	student	NOUN
bcpe-1791	120	17	'	'	PART
bcpe-1791	120	18	thinking	thinking	NOUN
bcpe-1791	120	19	and	and	CCONJ
bcpe-1791	120	20	encourage	encourage	VERB
bcpe-1791	120	21	students	student	NOUN
bcpe-1791	120	22	to	to	PART
bcpe-1791	120	23	try	try	VERB
bcpe-1791	120	24	different	different	ADJ
bcpe-1791	120	25	solutions	solution	NOUN
bcpe-1791	120	26	.	.	PUNCT
bcpe-1791	121	1	methods	method	NOUN
bcpe-1791	121	2	to	to	PART
bcpe-1791	121	3	solve	solve	VERB
bcpe-1791	121	4	problems	problem	NOUN
bcpe-1791	121	5	,	,	PUNCT
bcpe-1791	121	6	broaden	broaden	VERB
bcpe-1791	121	7	the	the	DET
bcpe-1791	121	8	direction	direction	NOUN
bcpe-1791	121	9	of	of	ADP
bcpe-1791	121	10	thinking	thinking	NOUN
bcpe-1791	121	11	,	,	PUNCT
bcpe-1791	121	12	deal	deal	VERB
bcpe-1791	121	13	with	with	ADP
bcpe-1791	121	14	various	various	ADJ
bcpe-1791	121	15	mathematical	mathematical	ADJ
bcpe-1791	121	16	problems	problem	NOUN
bcpe-1791	121	17	flexibly	flexibly	ADV
bcpe-1791	121	18	,	,	PUNCT
bcpe-1791	121	19	use	use	VERB
bcpe-1791	121	20	efficient	efficient	ADJ
bcpe-1791	121	21	and	and	CCONJ
bcpe-1791	121	22	fast	fast	ADJ
bcpe-1791	121	23	calculation	calculation	NOUN
bcpe-1791	121	24	methods	method	NOUN
bcpe-1791	121	25	to	to	PART
bcpe-1791	121	26	obtain	obtain	VERB
bcpe-1791	121	27	calculation	calculation	NOUN
bcpe-1791	121	28	results	result	NOUN
bcpe-1791	121	29	quickly	quickly	ADV
bcpe-1791	121	30	,	,	PUNCT
bcpe-1791	121	31	and	and	CCONJ
bcpe-1791	121	32	improve	improve	VERB
bcpe-1791	121	33	problem	problem	NOUN
bcpe-1791	121	34	-	-	PUNCT
bcpe-1791	121	35	solving	solve	VERB
bcpe-1791	121	36	efficiency	efficiency	NOUN
bcpe-1791	121	37	.	.	PUNCT
bcpe-1791	122	1	the	the	DET
bcpe-1791	122	2	following	following	NOUN
bcpe-1791	122	3	uses	use	VERB
bcpe-1791	122	4	an	an	DET
bcpe-1791	122	5	example	example	NOUN
bcpe-1791	122	6	problem	problem	NOUN
bcpe-1791	122	7	as	as	ADP
bcpe-1791	122	8	a	a	DET
bcpe-1791	122	9	teaching	teaching	NOUN
bcpe-1791	122	10	case	case	NOUN
bcpe-1791	122	11	to	to	PART
bcpe-1791	122	12	illustrate	illustrate	VERB
bcpe-1791	122	13	:	:	PUNCT
bcpe-1791	122	14	example	example	NOUN
bcpe-1791	122	15	3	3	NUM
bcpe-1791	122	16	:	:	PUNCT
bcpe-1791	122	17	(	(	PUNCT
bcpe-1791	122	18	2020·hainan	2020·hainan	NUM
bcpe-1791	122	19	college	college	NOUN
bcpe-1791	122	20	entrance	entrance	NOUN
bcpe-1791	122	21	examination	examination	NOUN
bcpe-1791	122	22	question	question	NOUN
bcpe-1791	122	23	)	)	PUNCT
bcpe-1791	122	24	if	if	SCONJ
bcpe-1791	122	25	the	the	DET
bcpe-1791	122	26	slope	slope	NOUN
bcpe-1791	122	27	is	be	AUX
bcpe-1791	122	28	√3the	√3the	DET
bcpe-1791	122	29	line	line	NOUN
bcpe-1791	122	30	passing	pass	VERB
bcpe-1791	122	31	through	through	ADP
bcpe-1791	122	32	the	the	DET
bcpe-1791	122	33	focus	focus	NOUN
bcpe-1791	122	34	of	of	ADP
bcpe-1791	122	35	the	the	DET
bcpe-1791	122	36	parabola	parabola	PROPN
bcpe-1791	122	37	𝐶𝐶:𝑦𝑦2	𝐶𝐶:𝑦𝑦2	PROPN
bcpe-1791	122	38	=	=	PROPN
bcpe-1791	122	39	4𝑥𝑥	4𝑥𝑥	NOUN
bcpe-1791	122	40	,	,	PUNCT
bcpe-1791	122	41	and	and	CCONJ
bcpe-1791	122	42	𝐶𝐶intersecting	𝐶𝐶intersecte	VERB
bcpe-1791	122	43	at	at	ADP
bcpe-1791	122	44	𝐴𝐴,𝐵𝐵two	𝐴𝐴,𝐵𝐵two	NUM
bcpe-1791	122	45	points	point	NOUN
bcpe-1791	122	46	,	,	PUNCT
bcpe-1791	122	47	then	then	ADV
bcpe-1791	122	48	|𝐴𝐴𝐵𝐵|	|𝐴𝐴𝐵𝐵|	PROPN
bcpe-1791	122	49	=	=	PUNCT
bcpe-1791	122	50	_	_	PUNCT
bcpe-1791	122	51	_	_	PUNCT
bcpe-1791	123	1	_	_	PUNCT
bcpe-1791	124	1	_	_	PUNCT
bcpe-1791	125	1	_	_	PUNCT
bcpe-1791	126	1	_	_	PUNCT
bcpe-1791	127	1	_	_	PUNCT
bcpe-1791	128	1	_	_	PUNCT
bcpe-1791	128	2	.	.	PUNCT
bcpe-1791	129	1	the	the	DET
bcpe-1791	129	2	teacher	teacher	NOUN
bcpe-1791	129	3	's	's	PART
bcpe-1791	129	4	method	method	NOUN
bcpe-1791	129	5	guide	guide	NOUN
bcpe-1791	129	6	:	:	PUNCT
bcpe-1791	129	7	①confirm	①confirm	VERB
bcpe-1791	129	8	the	the	DET
bcpe-1791	129	9	question	question	NOUN
bcpe-1791	129	10	type	type	NOUN
bcpe-1791	129	11	:	:	PUNCT
bcpe-1791	129	12	this	this	DET
bcpe-1791	129	13	question	question	NOUN
bcpe-1791	129	14	examines	examine	VERB
bcpe-1791	129	15	the	the	DET
bcpe-1791	129	16	intersection	intersection	NOUN
bcpe-1791	129	17	of	of	ADP
bcpe-1791	129	18	the	the	DET
bcpe-1791	129	19	straight	straight	ADJ
bcpe-1791	129	20	line	line	NOUN
bcpe-1791	129	21	and	and	CCONJ
bcpe-1791	129	22	the	the	DET
bcpe-1791	129	23	parabola	parabola	NOUN
bcpe-1791	129	24	in	in	ADP
bcpe-1791	129	25	the	the	DET
bcpe-1791	129	26	positional	positional	ADJ
bcpe-1791	129	27	relationship	relationship	NOUN
bcpe-1791	129	28	between	between	ADP
bcpe-1791	129	29	the	the	DET
bcpe-1791	129	30	straight	straight	ADJ
bcpe-1791	129	31	line	line	NOUN
bcpe-1791	129	32	and	and	CCONJ
bcpe-1791	129	33	the	the	DET
bcpe-1791	129	34	parabola	parabola	NOUN
bcpe-1791	129	35	and	and	CCONJ
bcpe-1791	129	36	examines	examine	VERB
bcpe-1791	129	37	the	the	DET
bcpe-1791	129	38	definition	definition	NOUN
bcpe-1791	129	39	and	and	CCONJ
bcpe-1791	129	40	application	application	NOUN
bcpe-1791	129	41	of	of	ADP
bcpe-1791	129	42	the	the	DET
bcpe-1791	129	43	parabola	parabola	NOUN
bcpe-1791	129	44	and	and	CCONJ
bcpe-1791	129	45	the	the	DET
bcpe-1791	129	46	geometric	geometric	ADJ
bcpe-1791	129	47	properties	property	NOUN
bcpe-1791	129	48	of	of	ADP
bcpe-1791	129	49	the	the	DET
bcpe-1791	129	50	parabola	parabola	NOUN
bcpe-1791	129	51	,	,	PUNCT
bcpe-1791	129	52	which	which	PRON
bcpe-1791	129	53	is	be	AUX
bcpe-1791	129	54	a	a	DET
bcpe-1791	129	55	basic	basic	ADJ
bcpe-1791	129	56	question	question	NOUN
bcpe-1791	129	57	type	type	NOUN
bcpe-1791	129	58	.	.	PUNCT
bcpe-1791	130	1	②using	②use	VERB
bcpe-1791	130	2	the	the	DET
bcpe-1791	130	3	corresponding	corresponding	ADJ
bcpe-1791	130	4	problem	problem	NOUN
bcpe-1791	130	5	-	-	PUNCT
bcpe-1791	130	6	solving	solve	VERB
bcpe-1791	130	7	method	method	NOUN
bcpe-1791	130	8	to	to	PART
bcpe-1791	130	9	solve	solve	VERB
bcpe-1791	130	10	the	the	DET
bcpe-1791	130	11	problem	problem	NOUN
bcpe-1791	130	12	:	:	PUNCT
bcpe-1791	130	13	however	however	ADV
bcpe-1791	130	14	,	,	PUNCT
bcpe-1791	130	15	this	this	DET
bcpe-1791	130	16	problem	problem	NOUN
bcpe-1791	130	17	is	be	AUX
bcpe-1791	130	18	not	not	PART
bcpe-1791	130	19	unique	unique	ADJ
bcpe-1791	130	20	in	in	ADP
bcpe-1791	130	21	terms	term	NOUN
bcpe-1791	130	22	of	of	ADP
bcpe-1791	130	23	solution	solution	NOUN
bcpe-1791	130	24	.	.	PUNCT
bcpe-1791	131	1	it	it	PRON
bcpe-1791	131	2	can	can	AUX
bcpe-1791	131	3	be	be	AUX
bcpe-1791	131	4	solved	solve	VERB
bcpe-1791	131	5	by	by	ADP
bcpe-1791	131	6	either	either	CCONJ
bcpe-1791	131	7	the	the	DET
bcpe-1791	131	8	algebraic	algebraic	ADJ
bcpe-1791	131	9	method	method	NOUN
bcpe-1791	131	10	or	or	CCONJ
bcpe-1791	131	11	the	the	DET
bcpe-1791	131	12	image	image	NOUN
bcpe-1791	131	13	method	method	NOUN
bcpe-1791	131	14	.	.	PUNCT
bcpe-1791	132	1	therefore	therefore	ADV
bcpe-1791	132	2	,	,	PUNCT
bcpe-1791	132	3	when	when	SCONJ
bcpe-1791	132	4	choosing	choose	VERB
bcpe-1791	132	5	a	a	DET
bcpe-1791	132	6	problem	problem	NOUN
bcpe-1791	132	7	-	-	PUNCT
bcpe-1791	132	8	solving	solve	VERB
bcpe-1791	132	9	method	method	NOUN
bcpe-1791	132	10	,	,	PUNCT
bcpe-1791	132	11	the	the	DET
bcpe-1791	132	12	problem	problem	NOUN
bcpe-1791	132	13	solver	solver	VERB
bcpe-1791	132	14	can	can	AUX
bcpe-1791	132	15	choose	choose	VERB
bcpe-1791	132	16	according	accord	VERB
bcpe-1791	132	17	to	to	ADP
bcpe-1791	132	18	his	his	PRON
bcpe-1791	132	19	expertise	expertise	NOUN
bcpe-1791	132	20	.	.	PUNCT
bcpe-1791	133	1	choice	choice	NOUN
bcpe-1791	133	2	of	of	ADP
bcpe-1791	133	3	problem	problem	NOUN
bcpe-1791	133	4	-	-	PUNCT
bcpe-1791	133	5	solving	solve	VERB
bcpe-1791	133	6	methods	method	NOUN
bcpe-1791	133	7	.	.	PUNCT
bcpe-1791	134	1	(	(	PUNCT
bcpe-1791	134	2	algebraic	algebraic	ADJ
bcpe-1791	134	3	method	method	NOUN
bcpe-1791	134	4	)	)	PUNCT
bcpe-1791	134	5	because	because	SCONJ
bcpe-1791	134	6	the	the	DET
bcpe-1791	134	7	equation	equation	NOUN
bcpe-1791	134	8	of	of	ADP
bcpe-1791	134	9	y2	y2	PROPN
bcpe-1791	134	10	=	=	SYM
bcpe-1791	135	1	4xthe	4xthe	DET
bcpe-1791	135	2	parabola	parabola	PROPN
bcpe-1791	135	3	is	be	AUX
bcpe-1791	135	4	,	,	PUNCT
bcpe-1791	135	5	the	the	DET
bcpe-1791	135	6	coordinate	coordinate	NOUN
bcpe-1791	135	7	f(1,0)f	f(1,0)f	NOUN
bcpe-1791	135	8	of	of	ADP
bcpe-1791	135	9	the	the	DET
bcpe-1791	135	10	focal	focal	ADJ
bcpe-1791	135	11	point	point	NOUN
bcpe-1791	135	12	of	of	ADP
bcpe-1791	135	13	the	the	DET
bcpe-1791	135	14	parabola	parabola	NOUN
bcpe-1791	135	15	is	be	AUX
bcpe-1791	135	16	,	,	PUNCT
bcpe-1791	135	17	and	and	CCONJ
bcpe-1791	135	18	because	because	SCONJ
bcpe-1791	135	19	the	the	DET
bcpe-1791	135	20	straight	straight	ADJ
bcpe-1791	135	21	line	line	NOUN
bcpe-1791	135	22	passes	pass	VERB
bcpe-1791	135	23	abthrough	abthrough	ADV
bcpe-1791	135	24	the	the	DET
bcpe-1791	135	25	focal	focal	ADJ
bcpe-1791	135	26	point	point	NOUN
bcpe-1791	135	27	fand	fand	ADV
bcpe-1791	135	28	the	the	DET
bcpe-1791	135	29	slope	slope	NOUN
bcpe-1791	135	30	is	be	AUX
bcpe-1791	135	31	√3	√3	PROPN
bcpe-1791	135	32	,	,	PUNCT
bcpe-1791	135	33	the	the	DET
bcpe-1791	135	34	equation	equation	NOUN
bcpe-1791	135	35	of	of	ADP
bcpe-1791	135	36	y	y	PROPN
bcpe-1791	135	37	=	=	PROPN
bcpe-1791	135	38	√3(x	√3(x	PROPN
bcpe-1791	135	39	−	−	PROPN
bcpe-1791	135	40	1)the	1)the	DET
bcpe-1791	135	41	straight	straight	ADJ
bcpe-1791	135	42	line	line	NOUN
bcpe-1791	135	43	is	be	AUX
bcpe-1791	135	44	ab	ab	PROPN
bcpe-1791	135	45	.	.	PUNCT
bcpe-1791	135	46	substitute	substitute	VERB
bcpe-1791	135	47	the	the	DET
bcpe-1791	135	48	equation	equation	NOUN
bcpe-1791	135	49	of	of	ADP
bcpe-1791	135	50	the	the	DET
bcpe-1791	135	51	straight	straight	ADJ
bcpe-1791	135	52	line	line	NOUN
bcpe-1791	135	53	into	into	ADP
bcpe-1791	135	54	the	the	DET
bcpe-1791	135	55	equation	equation	NOUN
bcpe-1791	135	56	of	of	ADP
bcpe-1791	135	57	the	the	DET
bcpe-1791	135	58	parabola	parabola	NOUN
bcpe-1791	135	59	to	to	PART
bcpe-1791	135	60	eliminate	eliminate	VERB
bcpe-1791	135	61	yand	yand	NOUN
bcpe-1791	135	62	simplify	simplify	VERB
bcpe-1791	135	63	3x2	3x2	NUM
bcpe-1791	135	64	−	−	NOUN
bcpe-1791	135	65	10x	10x	NUM
bcpe-1791	136	1	+	+	CCONJ
bcpe-1791	136	2	3	3	NUM
bcpe-1791	136	3	=	=	SYM
bcpe-1791	136	4	0	0	NUM
bcpe-1791	136	5	,	,	PUNCT
bcpe-1791	136	6	and	and	CCONJ
bcpe-1791	136	7	the	the	DET
bcpe-1791	136	8	solution	solution	NOUN
bcpe-1791	136	9	is	be	AUX
bcpe-1791	136	10	obtained	obtain	VERB
bcpe-1791	136	11	x1	x1	PROPN
bcpe-1791	136	12	=	=	SYM
bcpe-1791	136	13	1	1	NUM
bcpe-1791	136	14	3	3	NUM
bcpe-1791	136	15	,	,	PUNCT
bcpe-1791	137	1	x2	x2	PROPN
bcpe-1791	137	2	=	=	NOUN
bcpe-1791	137	3	3	3	X
bcpe-1791	137	4	.	.	X
bcpe-1791	137	5	so.|ab|	so.|ab|	NOUN
bcpe-1791	137	6	=	=	PUNCT
bcpe-1791	137	7	√1	√1	PROPN
bcpe-1791	137	8	+	+	CCONJ
bcpe-1791	138	1	k2|x1	k2|x1	ADJ
bcpe-1791	138	2	−	−	PROPN
bcpe-1791	138	3	x2|	x2|	PUNCT
bcpe-1791	139	1	=	=	PUNCT
bcpe-1791	139	2	√1	√1	PROPN
bcpe-1791	139	3	+	+	CCONJ
bcpe-1791	139	4	3	3	NUM
bcpe-1791	139	5	⋅	⋅	NOUN
bcpe-1791	139	6	|3	|3	NUM
bcpe-1791	139	7	−	−	NUM
bcpe-1791	139	8	1	1	NUM
bcpe-1791	139	9	3	3	NUM
bcpe-1791	139	10	|	|	NOUN
bcpe-1791	139	11	=	=	SYM
bcpe-1791	139	12	16	16	NUM
bcpe-1791	139	13	3	3	NUM
bcpe-1791	139	14	(	(	PUNCT
bcpe-1791	139	15	geometric	geometric	ADJ
bcpe-1791	139	16	method	method	NOUN
bcpe-1791	139	17	)	)	PUNCT
bcpe-1791	139	18	since	since	SCONJ
bcpe-1791	139	19	the	the	DET
bcpe-1791	139	20	equation	equation	NOUN
bcpe-1791	139	21	of	of	ADP
bcpe-1791	139	22	y2	y2	PROPN
bcpe-1791	139	23	=	=	SYM
bcpe-1791	140	1	4xthe	4xthe	DET
bcpe-1791	140	2	parabola	parabola	PROPN
bcpe-1791	140	3	is	be	AUX
bcpe-1791	140	4	,	,	PUNCT
bcpe-1791	140	5	the	the	DET
bcpe-1791	140	6	coordinates	coordinate	NOUN
bcpe-1791	140	7	of	of	ADP
bcpe-1791	140	8	f(1,0)the	f(1,0)the	DET
bcpe-1791	140	9	focal	focal	ADJ
bcpe-1791	140	10	point	point	NOUN
bcpe-1791	140	11	of	of	ADP
bcpe-1791	140	12	the	the	DET
bcpe-1791	140	13	parabola	parabola	NOUN
bcpe-1791	140	14	are	be	AUX
bcpe-1791	140	15	f	f	NUM
bcpe-1791	140	16	,	,	PUNCT
bcpe-1791	140	17	and	and	CCONJ
bcpe-1791	140	18	because	because	SCONJ
bcpe-1791	140	19	the	the	DET
bcpe-1791	140	20	line	line	NOUN
bcpe-1791	140	21	abpasses	abpasse	VERB
bcpe-1791	140	22	through	through	ADP
bcpe-1791	140	23	the	the	DET
bcpe-1791	140	24	focal	focal	ADJ
bcpe-1791	140	25	point	point	NOUN
bcpe-1791	140	26	fand	fand	PROPN
bcpe-1791	140	27	has	have	VERB
bcpe-1791	140	28	a	a	DET
bcpe-1791	140	29	slope	slope	NOUN
bcpe-1791	140	30	of	of	ADP
bcpe-1791	140	31	√3	√3	PROPN
bcpe-1791	140	32	,	,	PUNCT
bcpe-1791	140	33	the	the	DET
bcpe-1791	140	34	equation	equation	NOUN
bcpe-1791	140	35	of	of	ADP
bcpe-1791	140	36	y	y	PROPN
bcpe-1791	140	37	=	=	PROPN
bcpe-1791	140	38	√3(x	√3(x	PROPN
bcpe-1791	140	39	−	−	PROPN
bcpe-1791	140	40	1)the	1)the	DET
bcpe-1791	140	41	line	line	NOUN
bcpe-1791	140	42	is	be	AUX
bcpe-1791	140	43	:	:	PUNCT
bcpe-1791	141	1	ab	ab	X
bcpe-1791	141	2	.	.	PUNCT
bcpe-1791	142	1	substituting	substitute	VERB
bcpe-1791	142	2	the	the	DET
bcpe-1791	142	3	line	line	NOUN
bcpe-1791	142	4	equation	equation	NOUN
bcpe-1791	142	5	into	into	ADP
bcpe-1791	142	6	the	the	DET
bcpe-1791	142	7	parabola	parabola	PROPN
bcpe-1791	142	8	equation	equation	NOUN
bcpe-1791	142	9	to	to	PART
bcpe-1791	142	10	eliminate	eliminate	VERB
bcpe-1791	142	11	y	y	PROPN
bcpe-1791	142	12	and	and	CCONJ
bcpe-1791	142	13	simplify	simplify	VERB
bcpe-1791	142	14	to	to	PART
bcpe-1791	142	15	get	get	VERB
bcpe-1791	142	16	3x2	3x2	NUM
bcpe-1791	142	17	−	−	NOUN
bcpe-1791	142	18	10x	10x	AUX
bcpe-1791	143	1	+	+	CCONJ
bcpe-1791	143	2	3	3	NUM
bcpe-1791	143	3	=	=	SYM
bcpe-1791	143	4	0	0	NUM
bcpe-1791	143	5	,	,	PUNCT
bcpe-1791	143	6	δ	δ	X
bcpe-1791	143	7	=	=	PROPN
bcpe-1791	143	8	100	100	NUM
bcpe-1791	144	1	−	−	NUM
bcpe-1791	144	2	36	36	NUM
bcpe-1791	144	3	=	=	SYM
bcpe-1791	144	4	64	64	NUM
bcpe-1791	144	5	>	>	X
bcpe-1791	144	6	0	0	X
bcpe-1791	144	7	.	.	PUNCT
bcpe-1791	145	1	let	let	VERB
bcpe-1791	145	2	a(x1	a(x1	ADJ
bcpe-1791	145	3	,	,	PUNCT
bcpe-1791	145	4	y1	y1	NOUN
bcpe-1791	145	5	)	)	PUNCT
bcpe-1791	145	6	,	,	PUNCT
bcpe-1791	145	7	b(x2	b(x2	NOUN
bcpe-1791	145	8	,	,	PUNCT
bcpe-1791	145	9	y2	y2	PROPN
bcpe-1791	145	10	)	)	PUNCT
bcpe-1791	146	1	,	,	PUNCT
bcpe-1791	146	2	then	then	ADV
bcpe-1791	146	3	x1	x1	PROPN
bcpe-1791	146	4	+	+	NUM
bcpe-1791	147	1	x2	x2	NOUN
bcpe-1791	148	1	=	=	NOUN
bcpe-1791	149	1	10	10	NUM
bcpe-1791	149	2	3	3	NUM
bcpe-1791	149	3	,	,	PUNCT
bcpe-1791	149	4	go	go	VERB
bcpe-1791	149	5	through	through	ADP
bcpe-1791	149	6	the	the	DET
bcpe-1791	149	7	vertical	vertical	ADJ
bcpe-1791	149	8	a	a	DET
bcpe-1791	149	9	,	,	PUNCT
bcpe-1791	149	10	blines	bline	NOUN
bcpe-1791	149	11	that	that	PRON
bcpe-1791	149	12	are	be	AUX
bcpe-1791	149	13	respectively	respectively	ADV
bcpe-1791	149	14	x	x	X
bcpe-1791	149	15	=	=	NOUN
bcpe-1791	149	16	−1the	−1the	PRON
bcpe-1791	149	17	directrix	directrix	NOUN
bcpe-1791	149	18	,	,	PUNCT
bcpe-1791	149	19	let	let	VERB
bcpe-1791	149	20	the	the	DET
bcpe-1791	149	21	vertical	vertical	ADJ
bcpe-1791	149	22	feet	foot	NOUN
bcpe-1791	149	23	be	be	AUX
bcpe-1791	149	24	respectively	respectively	ADV
bcpe-1791	149	25	c	c	NOUN
bcpe-1791	149	26	,	,	PUNCT
bcpe-1791	149	27	d.	d.	PROPN
bcpe-1791	149	28	as	as	SCONJ
bcpe-1791	149	29	shown	show	VERB
bcpe-1791	149	30	.|ab|	.|ab|	PUNCT
bcpe-1791	150	1	=	=	PUNCT
bcpe-1791	150	2	|af|	|af|	NOUN
bcpe-1791	150	3	+	+	CCONJ
bcpe-1791	150	4	|bf|	|bf|	NOUN
bcpe-1791	150	5	=	=	SYM
bcpe-1791	150	6	|ac|	|ac|	PROPN
bcpe-1791	150	7	+	+	CCONJ
bcpe-1791	150	8	|bd|	|bd|	NOUN
bcpe-1791	150	9	=	=	SYM
bcpe-1791	151	1	x1	x1	PROPN
bcpe-1791	152	1	+	+	CCONJ
bcpe-1791	152	2	1	1	NUM
bcpe-1791	152	3	+	+	NUM
bcpe-1791	152	4	x2	x2	NOUN
bcpe-1791	152	5	+	+	CCONJ
bcpe-1791	152	6	1	1	NUM
bcpe-1791	152	7	1	1	NUM
bcpe-1791	152	8	2	2	NUM
bcpe-1791	152	9	16	16	NUM
bcpe-1791	152	10	+	+	NOUN
bcpe-1791	152	11	2=	2=	NUM
bcpe-1791	152	12	3	3	NUM
bcpe-1791	152	13	x	x	SYM
bcpe-1791	152	14	x=	x=	PUNCT
bcpe-1791	153	1	+	+	CCONJ
bcpe-1791	153	2	.	.	PUNCT
bcpe-1791	153	3	fig	fig	NOUN
bcpe-1791	153	4	1	1	NUM
bcpe-1791	153	5	.	.	PUNCT
bcpe-1791	154	1	parabolic	parabolic	ADJ
bcpe-1791	154	2	equation	equation	NOUN
bcpe-1791	154	3	bcp	bcp	PROPN
bcpe-1791	154	4	education	education	PROPN
bcpe-1791	154	5	&	&	CCONJ
bcpe-1791	154	6	psychology	psychology	PROPN
bcpe-1791	154	7	erhss	erhss	PROPN
bcpe-1791	154	8	2022	2022	NUM
bcpe-1791	154	9	volume	volume	NOUN
bcpe-1791	154	10	6	6	NUM
bcpe-1791	154	11	(	(	PUNCT
bcpe-1791	154	12	2022	2022	NUM
bcpe-1791	154	13	)	)	PUNCT
bcpe-1791	154	14	213	213	NUM
bcpe-1791	154	15	5	5	NUM
bcpe-1791	154	16	.	.	PUNCT
bcpe-1791	155	1	summary	summary	NOUN
bcpe-1791	155	2	and	and	CCONJ
bcpe-1791	155	3	outlook	outlook	NOUN
bcpe-1791	155	4	by	by	ADP
bcpe-1791	155	5	analyzing	analyze	VERB
bcpe-1791	155	6	the	the	DET
bcpe-1791	155	7	important	important	ADJ
bcpe-1791	155	8	value	value	NOUN
bcpe-1791	155	9	and	and	CCONJ
bcpe-1791	155	10	role	role	NOUN
bcpe-1791	155	11	of	of	ADP
bcpe-1791	155	12	mathematical	mathematical	ADJ
bcpe-1791	155	13	operations	operation	NOUN
bcpe-1791	155	14	in	in	ADP
bcpe-1791	155	15	the	the	DET
bcpe-1791	155	16	teaching	teaching	NOUN
bcpe-1791	155	17	of	of	ADP
bcpe-1791	155	18	conic	conic	ADJ
bcpe-1791	155	19	section	section	NOUN
bcpe-1791	155	20	solving	solve	VERB
bcpe-1791	155	21	under	under	ADP
bcpe-1791	155	22	the	the	DET
bcpe-1791	155	23	background	background	NOUN
bcpe-1791	155	24	of	of	ADP
bcpe-1791	155	25	the	the	DET
bcpe-1791	155	26	new	new	ADJ
bcpe-1791	155	27	curriculum	curriculum	NOUN
bcpe-1791	155	28	reform	reform	NOUN
bcpe-1791	155	29	,	,	PUNCT
bcpe-1791	155	30	this	this	DET
bcpe-1791	155	31	paper	paper	NOUN
bcpe-1791	155	32	summarizes	summarize	VERB
bcpe-1791	155	33	the	the	DET
bcpe-1791	155	34	common	common	ADJ
bcpe-1791	155	35	problems	problem	NOUN
bcpe-1791	155	36	of	of	ADP
bcpe-1791	155	37	high	high	ADJ
bcpe-1791	155	38	school	school	NOUN
bcpe-1791	155	39	students	student	NOUN
bcpe-1791	155	40	about	about	ADP
bcpe-1791	155	41	conic	conic	ADJ
bcpe-1791	155	42	section	section	NOUN
bcpe-1791	155	43	solving	solving	NOUN
bcpe-1791	155	44	.	.	PUNCT
bcpe-1791	156	1	in	in	ADP
bcpe-1791	156	2	response	response	NOUN
bcpe-1791	156	3	to	to	ADP
bcpe-1791	156	4	these	these	DET
bcpe-1791	156	5	problems	problem	NOUN
bcpe-1791	156	6	,	,	PUNCT
bcpe-1791	156	7	the	the	DET
bcpe-1791	156	8	author	author	NOUN
bcpe-1791	156	9	puts	put	VERB
bcpe-1791	156	10	forward	forward	ADV
bcpe-1791	156	11	the	the	DET
bcpe-1791	156	12	improvement	improvement	NOUN
bcpe-1791	156	13	and	and	CCONJ
bcpe-1791	156	14	innovation	innovation	NOUN
bcpe-1791	156	15	of	of	ADP
bcpe-1791	156	16	the	the	DET
bcpe-1791	156	17	problem	problem	NOUN
bcpe-1791	156	18	-	-	PUNCT
bcpe-1791	156	19	solving	solve	VERB
bcpe-1791	156	20	teaching	teaching	NOUN
bcpe-1791	156	21	strategy	strategy	NOUN
bcpe-1791	156	22	of	of	ADP
bcpe-1791	156	23	the	the	DET
bcpe-1791	156	24	conic	conic	ADJ
bcpe-1791	156	25	section	section	NOUN
bcpe-1791	156	26	based	base	VERB
bcpe-1791	156	27	on	on	ADP
bcpe-1791	156	28	the	the	DET
bcpe-1791	156	29	mathematical	mathematical	ADJ
bcpe-1791	156	30	operation	operation	NOUN
bcpe-1791	156	31	.	.	PUNCT
bcpe-1791	157	1	the	the	DET
bcpe-1791	157	2	optimization	optimization	NOUN
bcpe-1791	157	3	of	of	ADP
bcpe-1791	157	4	the	the	DET
bcpe-1791	157	5	problem	problem	NOUN
bcpe-1791	157	6	-	-	PUNCT
bcpe-1791	157	7	solving	solve	VERB
bcpe-1791	157	8	teaching	teaching	NOUN
bcpe-1791	157	9	strategy	strategy	NOUN
bcpe-1791	157	10	and	and	CCONJ
bcpe-1791	157	11	the	the	DET
bcpe-1791	157	12	case	case	NOUN
bcpe-1791	157	13	study	study	NOUN
bcpe-1791	157	14	method	method	NOUN
bcpe-1791	157	15	expounds	expound	VERB
bcpe-1791	157	16	on	on	ADP
bcpe-1791	157	17	how	how	SCONJ
bcpe-1791	157	18	teachers	teacher	NOUN
bcpe-1791	157	19	can	can	AUX
bcpe-1791	157	20	better	well	ADV
bcpe-1791	157	21	carry	carry	VERB
bcpe-1791	157	22	out	out	ADP
bcpe-1791	157	23	the	the	DET
bcpe-1791	157	24	teaching	teaching	NOUN
bcpe-1791	157	25	of	of	ADP
bcpe-1791	157	26	conic	conic	ADJ
bcpe-1791	157	27	section	section	NOUN
bcpe-1791	157	28	problem	problem	NOUN
bcpe-1791	157	29	-	-	PUNCT
bcpe-1791	157	30	solving	solving	NOUN
bcpe-1791	157	31	.	.	PUNCT
bcpe-1791	158	1	in	in	ADP
bcpe-1791	158	2	order	order	NOUN
bcpe-1791	158	3	to	to	PART
bcpe-1791	158	4	guide	guide	VERB
bcpe-1791	158	5	and	and	CCONJ
bcpe-1791	158	6	train	train	NOUN
bcpe-1791	158	7	students	student	NOUN
bcpe-1791	158	8	,	,	PUNCT
bcpe-1791	158	9	it	it	PRON
bcpe-1791	158	10	is	be	AUX
bcpe-1791	158	11	to	to	PART
bcpe-1791	158	12	use	use	VERB
bcpe-1791	158	13	the	the	DET
bcpe-1791	158	14	problem	problem	NOUN
bcpe-1791	158	15	-	-	PUNCT
bcpe-1791	158	16	solving	solve	VERB
bcpe-1791	158	17	method	method	NOUN
bcpe-1791	158	18	of	of	ADP
bcpe-1791	158	19	conic	conic	ADJ
bcpe-1791	158	20	section	section	NOUN
bcpe-1791	158	21	comprehensive	comprehensive	ADJ
bcpe-1791	158	22	problems	problem	NOUN
bcpe-1791	158	23	flexibly	flexibly	ADV
bcpe-1791	158	24	.	.	PUNCT
bcpe-1791	159	1	therefore	therefore	ADV
bcpe-1791	159	2	,	,	PUNCT
bcpe-1791	159	3	the	the	DET
bcpe-1791	159	4	author	author	NOUN
bcpe-1791	159	5	hopes	hope	VERB
bcpe-1791	159	6	that	that	SCONJ
bcpe-1791	159	7	the	the	DET
bcpe-1791	159	8	teacher	teacher	NOUN
bcpe-1791	159	9	should	should	AUX
bcpe-1791	159	10	put	put	VERB
bcpe-1791	159	11	forward	forward	ADV
bcpe-1791	159	12	the	the	DET
bcpe-1791	159	13	requirements	requirement	NOUN
bcpe-1791	159	14	of	of	ADP
bcpe-1791	159	15	cultivating	cultivate	VERB
bcpe-1791	159	16	students	student	NOUN
bcpe-1791	159	17	'	'	PART
bcpe-1791	159	18	mathematical	mathematical	ADJ
bcpe-1791	159	19	operation	operation	NOUN
bcpe-1791	159	20	thinking	thinking	NOUN
bcpe-1791	159	21	and	and	CCONJ
bcpe-1791	159	22	other	other	ADJ
bcpe-1791	159	23	core	core	NOUN
bcpe-1791	159	24	literacy	literacy	NOUN
bcpe-1791	159	25	from	from	ADP
bcpe-1791	159	26	the	the	DET
bcpe-1791	159	27	top	top	ADJ
bcpe-1791	159	28	-	-	PUNCT
bcpe-1791	159	29	level	level	NOUN
bcpe-1791	159	30	design	design	NOUN
bcpe-1791	159	31	.	.	PUNCT
bcpe-1791	160	1	from	from	ADP
bcpe-1791	160	2	the	the	DET
bcpe-1791	160	3	school	school	NOUN
bcpe-1791	160	4	's	's	PART
bcpe-1791	160	5	point	point	NOUN
bcpe-1791	160	6	of	of	ADP
bcpe-1791	160	7	view	view	NOUN
bcpe-1791	160	8	,	,	PUNCT
bcpe-1791	160	9	the	the	DET
bcpe-1791	160	10	author	author	NOUN
bcpe-1791	160	11	hopes	hope	VERB
bcpe-1791	160	12	to	to	PART
bcpe-1791	160	13	put	put	VERB
bcpe-1791	160	14	forward	forward	ADP
bcpe-1791	160	15	the	the	DET
bcpe-1791	160	16	requirements	requirement	NOUN
bcpe-1791	160	17	for	for	SCONJ
bcpe-1791	160	18	teachers	teacher	NOUN
bcpe-1791	160	19	to	to	PART
bcpe-1791	160	20	cultivate	cultivate	VERB
bcpe-1791	160	21	students	student	NOUN
bcpe-1791	160	22	'	'	PART
bcpe-1791	160	23	problem	problem	NOUN
bcpe-1791	160	24	-	-	PUNCT
bcpe-1791	160	25	solving	solve	VERB
bcpe-1791	160	26	skills	skill	NOUN
bcpe-1791	160	27	and	and	CCONJ
bcpe-1791	160	28	understand	understand	VERB
bcpe-1791	160	29	the	the	DET
bcpe-1791	160	30	general	general	ADJ
bcpe-1791	160	31	idea	idea	NOUN
bcpe-1791	160	32	of	of	ADP
bcpe-1791	160	33	the	the	DET
bcpe-1791	160	34	problem	problem	NOUN
bcpe-1791	160	35	.	.	PUNCT
bcpe-1791	161	1	it	it	PRON
bcpe-1791	161	2	aims	aim	VERB
bcpe-1791	161	3	to	to	PART
bcpe-1791	161	4	strengthen	strengthen	VERB
bcpe-1791	161	5	their	their	PRON
bcpe-1791	161	6	awareness	awareness	NOUN
bcpe-1791	161	7	of	of	ADP
bcpe-1791	161	8	the	the	DET
bcpe-1791	161	9	cultivation	cultivation	NOUN
bcpe-1791	161	10	of	of	ADP
bcpe-1791	161	11	students	student	NOUN
bcpe-1791	161	12	'	'	PART
bcpe-1791	161	13	mathematical	mathematical	ADJ
bcpe-1791	161	14	thinking	thinking	NOUN
bcpe-1791	161	15	so	so	SCONJ
bcpe-1791	161	16	that	that	SCONJ
bcpe-1791	161	17	students	student	NOUN
bcpe-1791	161	18	not	not	PART
bcpe-1791	161	19	only	only	ADV
bcpe-1791	161	20	can	can	AUX
bcpe-1791	161	21	solve	solve	VERB
bcpe-1791	161	22	problems	problem	NOUN
bcpe-1791	161	23	but	but	CCONJ
bcpe-1791	161	24	also	also	ADV
bcpe-1791	161	25	have	have	VERB
bcpe-1791	161	26	the	the	DET
bcpe-1791	161	27	ability	ability	NOUN
bcpe-1791	161	28	to	to	PART
bcpe-1791	161	29	think	think	VERB
bcpe-1791	161	30	independently	independently	ADV
bcpe-1791	161	31	.	.	PUNCT
bcpe-1791	162	1	with	with	ADP
bcpe-1791	162	2	the	the	DET
bcpe-1791	162	3	continuous	continuous	ADJ
bcpe-1791	162	4	enrichment	enrichment	NOUN
bcpe-1791	162	5	of	of	ADP
bcpe-1791	162	6	middle	middle	ADJ
bcpe-1791	162	7	school	school	NOUN
bcpe-1791	162	8	mathematics	mathematic	NOUN
bcpe-1791	162	9	teaching	teaching	NOUN
bcpe-1791	162	10	content	content	NOUN
bcpe-1791	162	11	and	and	CCONJ
bcpe-1791	162	12	the	the	DET
bcpe-1791	162	13	improvement	improvement	NOUN
bcpe-1791	162	14	of	of	ADP
bcpe-1791	162	15	quality	quality	NOUN
bcpe-1791	162	16	requirements	requirement	NOUN
bcpe-1791	162	17	,	,	PUNCT
bcpe-1791	162	18	in	in	ADP
bcpe-1791	162	19	the	the	DET
bcpe-1791	162	20	future	future	NOUN
bcpe-1791	162	21	,	,	PUNCT
bcpe-1791	162	22	we	we	PRON
bcpe-1791	162	23	will	will	AUX
bcpe-1791	162	24	continue	continue	VERB
bcpe-1791	162	25	to	to	PART
bcpe-1791	162	26	innovate	innovate	VERB
bcpe-1791	162	27	problem	problem	NOUN
bcpe-1791	162	28	-	-	PUNCT
bcpe-1791	162	29	solving	solve	VERB
bcpe-1791	162	30	teaching	teaching	NOUN
bcpe-1791	162	31	strategies	strategy	NOUN
bcpe-1791	162	32	to	to	PART
bcpe-1791	162	33	guide	guide	VERB
bcpe-1791	162	34	high	high	ADJ
bcpe-1791	162	35	school	school	NOUN
bcpe-1791	162	36	students	student	NOUN
bcpe-1791	162	37	to	to	PART
bcpe-1791	162	38	continuously	continuously	ADV
bcpe-1791	162	39	strengthen	strengthen	VERB
bcpe-1791	162	40	their	their	PRON
bcpe-1791	162	41	thinking	thinking	NOUN
bcpe-1791	162	42	and	and	CCONJ
bcpe-1791	162	43	literacy	literacy	NOUN
bcpe-1791	162	44	,	,	PUNCT
bcpe-1791	162	45	and	and	CCONJ
bcpe-1791	162	46	improve	improve	VERB
bcpe-1791	162	47	their	their	PRON
bcpe-1791	162	48	learning	learning	NOUN
bcpe-1791	162	49	in	in	ADP
bcpe-1791	162	50	mathematics	mathematic	NOUN
bcpe-1791	162	51	and	and	CCONJ
bcpe-1791	162	52	various	various	ADJ
bcpe-1791	162	53	subjects	subject	NOUN
bcpe-1791	162	54	.	.	PUNCT
bcpe-1791	163	1	comprehensive	comprehensive	ADJ
bcpe-1791	163	2	quality	quality	NOUN
bcpe-1791	163	3	and	and	CCONJ
bcpe-1791	163	4	level	level	NOUN
bcpe-1791	163	5	.	.	PUNCT
bcpe-1791	164	1	references	reference	NOUN
bcpe-1791	164	2	[	[	X
bcpe-1791	164	3	1	1	NUM
bcpe-1791	164	4	]	]	X
bcpe-1791	164	5	ministry	ministry	NOUN
bcpe-1791	164	6	of	of	ADP
bcpe-1791	164	7	education	education	NOUN
bcpe-1791	164	8	.	.	PUNCT
bcpe-1791	165	1	mathematics	mathematic	NOUN
bcpe-1791	165	2	curriculum	curriculum	NOUN
bcpe-1791	165	3	standards	standard	NOUN
bcpe-1791	165	4	for	for	ADP
bcpe-1791	165	5	full	full	ADJ
bcpe-1791	165	6	-	-	PUNCT
bcpe-1791	165	7	time	time	NOUN
bcpe-1791	165	8	compulsory	compulsory	ADJ
bcpe-1791	165	9	education	education	NOUN
bcpe-1791	165	10	(	(	PUNCT
bcpe-1791	165	11	2017	2017	NUM
bcpe-1791	165	12	edition	edition	NOUN
bcpe-1791	165	13	)	)	PUNCT
bcpe-1791	166	1	[	[	X
bcpe-1791	166	2	s	s	X
bcpe-1791	166	3	]	]	X
bcpe-1791	166	4	.	.	PUNCT
bcpe-1791	167	1	beijing	beijing	PROPN
bcpe-1791	167	2	:	:	PUNCT
bcpe-1791	167	3	beijing	beijing	PROPN
bcpe-1791	167	4	normal	normal	ADJ
bcpe-1791	167	5	university	university	NOUN
bcpe-1791	167	6	press	press	NOUN
bcpe-1791	167	7	,	,	PUNCT
bcpe-1791	167	8	2017	2017	NUM
bcpe-1791	167	9	.	.	PUNCT
bcpe-1791	168	1	[	[	X
bcpe-1791	168	2	2	2	NUM
bcpe-1791	168	3	]	]	X
bcpe-1791	168	4	cai	cai	X
bcpe-1791	168	5	wenhao	wenhao	PROPN
bcpe-1791	168	6	.	.	PUNCT
bcpe-1791	169	1	investigation	investigation	NOUN
bcpe-1791	169	2	on	on	ADP
bcpe-1791	169	3	the	the	DET
bcpe-1791	169	4	current	current	ADJ
bcpe-1791	169	5	situation	situation	NOUN
bcpe-1791	169	6	and	and	CCONJ
bcpe-1791	169	7	countermeasures	countermeasure	NOUN
bcpe-1791	169	8	of	of	ADP
bcpe-1791	169	9	the	the	DET
bcpe-1791	169	10	cultivation	cultivation	NOUN
bcpe-1791	169	11	of	of	ADP
bcpe-1791	169	12	mathematical	mathematical	ADJ
bcpe-1791	169	13	operation	operation	NOUN
bcpe-1791	169	14	ability	ability	NOUN
bcpe-1791	169	15	of	of	ADP
bcpe-1791	169	16	high	high	ADJ
bcpe-1791	169	17	school	school	NOUN
bcpe-1791	169	18	mathematics	mathematic	NOUN
bcpe-1791	169	19	core	core	NOUN
bcpe-1791	169	20	literacy	literacy	NOUN
bcpe-1791	170	1	[	[	X
bcpe-1791	170	2	d	d	X
bcpe-1791	170	3	]	]	X
bcpe-1791	170	4	.	.	PUNCT
bcpe-1791	171	1	central	central	ADJ
bcpe-1791	171	2	china	china	PROPN
bcpe-1791	171	3	normal	normal	ADJ
bcpe-1791	171	4	university	university	NOUN
bcpe-1791	171	5	.	.	PUNCT
bcpe-1791	172	1	[	[	X
bcpe-1791	172	2	3	3	X
bcpe-1791	172	3	]	]	X
bcpe-1791	172	4	ministry	ministry	PROPN
bcpe-1791	172	5	of	of	ADP
bcpe-1791	172	6	education	education	NOUN
bcpe-1791	172	7	of	of	ADP
bcpe-1791	172	8	the	the	DET
bcpe-1791	172	9	people	people	NOUN
bcpe-1791	172	10	's	's	PART
bcpe-1791	172	11	republic	republic	NOUN
bcpe-1791	172	12	of	of	ADP
bcpe-1791	172	13	china	china	PROPN
bcpe-1791	172	14	.	.	PUNCT
bcpe-1791	173	1	mathematics	mathematic	NOUN
bcpe-1791	173	2	curriculum	curriculum	NOUN
bcpe-1791	173	3	standards	standard	NOUN
bcpe-1791	173	4	for	for	ADP
bcpe-1791	173	5	general	general	ADJ
bcpe-1791	173	6	high	high	ADJ
bcpe-1791	173	7	schools	school	NOUN
bcpe-1791	173	8	(	(	PUNCT
bcpe-1791	173	9	2017	2017	NUM
bcpe-1791	173	10	edition	edition	NOUN
bcpe-1791	173	11	)	)	PUNCT
bcpe-1791	174	1	[	[	X
bcpe-1791	174	2	s	s	X
bcpe-1791	174	3	]	]	X
bcpe-1791	174	4	.	.	PUNCT
bcpe-1791	175	1	beijing	beijing	PROPN
bcpe-1791	175	2	:	:	PUNCT
bcpe-1791	175	3	people	people	NOUN
bcpe-1791	175	4	's	's	PART
bcpe-1791	175	5	education	education	NOUN
bcpe-1791	175	6	press	press	NOUN
bcpe-1791	175	7	.	.	PUNCT
bcpe-1791	176	1	2018:2	2018:2	NUM
bcpe-1791	176	2	-	-	SYM
bcpe-1791	176	3	7	7	NUM
bcpe-1791	176	4	.	.	PUNCT
bcpe-1791	177	1	[	[	X
bcpe-1791	177	2	4	4	X
bcpe-1791	177	3	]	]	PUNCT
bcpe-1791	177	4	china	china	PROPN
bcpe-1791	177	5	education	education	PROPN
bcpe-1791	177	6	examination	examination	NOUN
bcpe-1791	177	7	network	network	NOUN
bcpe-1791	177	8	.	.	PUNCT
bcpe-1791	177	9	2019	2019	NUM
bcpe-1791	177	10	national	national	ADJ
bcpe-1791	177	11	unified	unified	ADJ
bcpe-1791	177	12	examination	examination	NOUN
bcpe-1791	177	13	syllabus	syllabus	NOUN
bcpe-1791	177	14	for	for	ADP
bcpe-1791	177	15	enrollment	enrollment	NOUN
bcpe-1791	177	16	in	in	ADP
bcpe-1791	177	17	ordinary	ordinary	ADJ
bcpe-1791	177	18	colleges	college	NOUN
bcpe-1791	177	19	and	and	CCONJ
bcpe-1791	177	20	universities	university	NOUN
bcpe-1791	177	21	(	(	PUNCT
bcpe-1791	177	22	science	science	NOUN
bcpe-1791	177	23	and	and	CCONJ
bcpe-1791	177	24	mathematics	mathematic	NOUN
bcpe-1791	177	25	)	)	PUNCT
bcpe-1791	178	1	[	[	X
bcpe-1791	178	2	eb	eb	X
bcpe-1791	178	3	/	/	SYM
bcpe-1791	178	4	ol	ol	PROPN
bcpe-1791	178	5	]	]	PUNCT
bcpe-1791	178	6	.	.	PUNCT
bcpe-1791	179	1	http://gaokao.neea.edu.cn/html1/report/19012/5965-1	http://gaokao.neea.edu.cn/html1/report/19012/5965-1	PROPN
bcpe-1791	179	2	.	.	PUNCT
bcpe-1791	180	1	htm	htm	PROPN
bcpe-1791	180	2	.	.	PUNCT
bcpe-1791	181	1	[	[	X
bcpe-1791	181	2	5	5	NUM
bcpe-1791	181	3	]	]	PUNCT
bcpe-1791	181	4	lin	lin	PROPN
bcpe-1791	181	5	chongde	chongde	PROPN
bcpe-1791	181	6	.	.	PUNCT
bcpe-1791	182	1	ability	ability	NOUN
bcpe-1791	182	2	development	development	NOUN
bcpe-1791	182	3	and	and	CCONJ
bcpe-1791	182	4	training	training	NOUN
bcpe-1791	182	5	in	in	ADP
bcpe-1791	182	6	middle	middle	ADJ
bcpe-1791	182	7	schools	school	NOUN
bcpe-1791	183	1	[	[	X
bcpe-1791	184	1	m	m	X
bcpe-1791	184	2	]	]	X
bcpe-1791	184	3	.	.	PUNCT
bcpe-1791	185	1	beijing	beijing	PROPN
bcpe-1791	185	2	:	:	PUNCT
bcpe-1791	185	3	beijing	beijing	PROPN
bcpe-1791	185	4	education	education	PROPN
bcpe-1791	185	5	press	press	NOUN
bcpe-1791	185	6	,	,	PUNCT
bcpe-1791	185	7	1992	1992	NUM
bcpe-1791	185	8	.	.	PUNCT
bcpe-1791	186	1	[	[	X
bcpe-1791	186	2	6	6	NUM
bcpe-1791	186	3	]	]	X
bcpe-1791	186	4	zhang	zhang	PROPN
bcpe-1791	186	5	qizhao	qizhao	PROPN
bcpe-1791	186	6	,	,	PUNCT
bcpe-1791	186	7	wang	wang	PROPN
bcpe-1791	186	8	le	le	PROPN
bcpe-1791	186	9	.	.	PUNCT
bcpe-1791	187	1	the	the	DET
bcpe-1791	187	2	practice	practice	NOUN
bcpe-1791	187	3	of	of	ADP
bcpe-1791	187	4	the	the	DET
bcpe-1791	187	5	second	second	ADJ
bcpe-1791	187	6	round	round	NOUN
bcpe-1791	187	7	of	of	ADP
bcpe-1791	187	8	micro	micro	ADJ
bcpe-1791	187	9	-	-	NOUN
bcpe-1791	187	10	topic	topic	ADJ
bcpe-1791	187	11	teaching	teaching	NOUN
bcpe-1791	187	12	of	of	ADP
bcpe-1791	187	13	high	high	ADJ
bcpe-1791	187	14	school	school	NOUN
bcpe-1791	187	15	mathematics	mathematic	NOUN
bcpe-1791	187	16	from	from	ADP
bcpe-1791	187	17	the	the	DET
bcpe-1791	187	18	perspective	perspective	NOUN
bcpe-1791	187	19	of	of	ADP
bcpe-1791	187	20	core	core	ADJ
bcpe-1791	187	21	literacy	literacy	NOUN
bcpe-1791	187	22	——	——	PUNCT
bcpe-1791	187	23	taking	take	VERB
bcpe-1791	187	24	the	the	DET
bcpe-1791	187	25	teaching	teaching	NOUN
bcpe-1791	187	26	of	of	ADP
bcpe-1791	187	27	"	"	PUNCT
bcpe-1791	187	28	seeking	seek	VERB
bcpe-1791	187	29	the	the	DET
bcpe-1791	187	30	eccentricity	eccentricity	ADJ
bcpe-1791	187	31	range	range	NOUN
bcpe-1791	187	32	of	of	ADP
bcpe-1791	187	33	a	a	DET
bcpe-1791	187	34	conic	conic	ADJ
bcpe-1791	187	35	curve	curve	NOUN
bcpe-1791	187	36	"	"	PUNCT
bcpe-1791	187	37	as	as	ADP
bcpe-1791	187	38	an	an	DET
bcpe-1791	187	39	example	example	NOUN
bcpe-1791	188	1	[	[	X
bcpe-1791	188	2	c	c	X
bcpe-1791	188	3	]	]	X
bcpe-1791	188	4	.	.	PUNCT
bcpe-1791	189	1	2019	2019	NUM
bcpe-1791	189	2	jiangsu	jiangsu	PROPN
bcpe-1791	189	3	provincial	provincial	ADJ
bcpe-1791	189	4	education	education	NOUN
bcpe-1791	189	5	society	society	NOUN
bcpe-1791	189	6	academic	academic	ADJ
bcpe-1791	189	7	annual	annual	ADJ
bcpe-1791	189	8	conference	conference	NOUN
bcpe-1791	189	9	paper	paper	NOUN
bcpe-1791	189	10	episode	episode	NOUN
bcpe-1791	189	11	,	,	PUNCT
bcpe-1791	189	12	2019:15	2019:15	ADJ
bcpe-1791	189	13	-	-	PUNCT
bcpe-1791	189	14	23.doi:10.26914	23.doi:10.26914	NOUN
bcpe-1791	189	15	/	/	SYM
bcpe-1791	189	16	c.cnkihy.2019.058380	c.cnkihy.2019.058380	NOUN
bcpe-1791	189	17	.	.	PUNCT
bcpe-1791	190	1	[	[	X
bcpe-1791	190	2	7	7	X
bcpe-1791	190	3	]	]	X
bcpe-1791	190	4	chen	chen	PROPN
bcpe-1791	190	5	chuanyong	chuanyong	PROPN
bcpe-1791	190	6	.	.	PUNCT
bcpe-1791	191	1	the	the	DET
bcpe-1791	191	2	dimension	dimension	NOUN
bcpe-1791	191	3	of	of	ADP
bcpe-1791	191	4	mathematical	mathematical	ADJ
bcpe-1791	191	5	operations	operation	NOUN
bcpe-1791	191	6	in	in	ADP
bcpe-1791	191	7	classroom	classroom	NOUN
bcpe-1791	191	8	teaching	teaching	NOUN
bcpe-1791	191	9	:	:	PUNCT
bcpe-1791	191	10	the	the	DET
bcpe-1791	191	11	cultivation	cultivation	NOUN
bcpe-1791	191	12	of	of	ADP
bcpe-1791	191	13	high	high	ADJ
bcpe-1791	191	14	school	school	NOUN
bcpe-1791	191	15	mathematics	mathematic	NOUN
bcpe-1791	191	16	core	core	NOUN
bcpe-1791	191	17	literacy	literacy	NOUN
bcpe-1791	191	18	[	[	X
bcpe-1791	191	19	c]//.	c]//.	NOUN
bcpe-1791	191	20	educational	educational	ADJ
bcpe-1791	191	21	theory	theory	NOUN
bcpe-1791	191	22	research	research	NOUN
bcpe-1791	191	23	(	(	PUNCT
bcpe-1791	191	24	sixth	sixth	ADJ
bcpe-1791	191	25	series	series	NOUN
bcpe-1791	191	26	)	)	PUNCT
bcpe-1791	191	27	.	.	PUNCT
bcpe-1791	192	1	2019:198	2019:198	NUM
bcpe-1791	192	2	.	.	NOUN
bcpe-1791	193	1	1	1	X
bcpe-1791	193	2	.	.	X
bcpe-1791	193	3	introduction	introduction	NOUN
bcpe-1791	193	4	2	2	NUM
bcpe-1791	193	5	.	.	PUNCT
bcpe-1791	193	6	definition	definition	NOUN
bcpe-1791	193	7	of	of	ADP
bcpe-1791	193	8	related	related	ADJ
bcpe-1791	193	9	concepts	concept	NOUN
bcpe-1791	193	10	and	and	CCONJ
bcpe-1791	193	11	research	research	NOUN
bcpe-1791	193	12	on	on	ADP
bcpe-1791	193	13	the	the	DET
bcpe-1791	193	14	current	current	ADJ
bcpe-1791	193	15	situation	situation	NOUN
bcpe-1791	193	16	2.1	2.1	NUM
bcpe-1791	193	17	what	what	PRON
bcpe-1791	193	18	are	be	AUX
bcpe-1791	193	19	mathematical	mathematical	ADJ
bcpe-1791	193	20	operations	operation	NOUN
bcpe-1791	193	21	2.2	2.2	NUM
bcpe-1791	193	22	the	the	DET
bcpe-1791	193	23	importance	importance	NOUN
bcpe-1791	193	24	of	of	ADP
bcpe-1791	193	25	conic	conic	ADJ
bcpe-1791	193	26	section	section	NOUN
bcpe-1791	193	27	in	in	ADP
bcpe-1791	193	28	high	high	ADJ
bcpe-1791	193	29	school	school	NOUN
bcpe-1791	193	30	mathematics	mathematic	NOUN
bcpe-1791	193	31	teaching	teaching	NOUN
bcpe-1791	193	32	and	and	CCONJ
bcpe-1791	193	33	problem	problem	NOUN
bcpe-1791	193	34	identification	identification	NOUN
bcpe-1791	193	35	3	3	NUM
bcpe-1791	193	36	.	.	PUNCT
bcpe-1791	194	1	the	the	DET
bcpe-1791	194	2	connection	connection	NOUN
bcpe-1791	194	3	between	between	ADP
bcpe-1791	194	4	mathematical	mathematical	ADJ
bcpe-1791	194	5	operations	operation	NOUN
bcpe-1791	194	6	and	and	CCONJ
bcpe-1791	194	7	the	the	DET
bcpe-1791	194	8	teaching	teaching	NOUN
bcpe-1791	194	9	of	of	ADP
bcpe-1791	194	10	conic	conic	ADJ
bcpe-1791	194	11	section	section	NOUN
bcpe-1791	194	12	problem	problem	NOUN
bcpe-1791	194	13	solving	solve	VERB
bcpe-1791	194	14	4	4	NUM
bcpe-1791	194	15	.	.	PUNCT
bcpe-1791	194	16	teaching	teach	VERB
bcpe-1791	194	17	strategies	strategy	NOUN
bcpe-1791	194	18	for	for	ADP
bcpe-1791	194	19	integrating	integrate	VERB
bcpe-1791	194	20	mathematical	mathematical	ADJ
bcpe-1791	194	21	operations	operation	NOUN
bcpe-1791	194	22	into	into	ADP
bcpe-1791	194	23	the	the	DET
bcpe-1791	194	24	teaching	teaching	NOUN
bcpe-1791	194	25	of	of	ADP
bcpe-1791	194	26	conic	conic	ADJ
bcpe-1791	194	27	section	section	NOUN
bcpe-1791	194	28	problem	problem	NOUN
bcpe-1791	194	29	solving	solve	VERB
bcpe-1791	194	30	4.1	4.1	NUM
bcpe-1791	194	31	master	master	NOUN
bcpe-1791	194	32	the	the	DET
bcpe-1791	194	33	basic	basic	ADJ
bcpe-1791	194	34	question	question	NOUN
bcpe-1791	194	35	types	type	NOUN
bcpe-1791	194	36	and	and	CCONJ
bcpe-1791	194	37	reach	reach	VERB
bcpe-1791	194	38	the	the	DET
bcpe-1791	194	39	level	level	NOUN
bcpe-1791	194	40	1	1	NUM
bcpe-1791	194	41	maths	math	NOUN
bcpe-1791	194	42	operation	operation	NOUN
bcpe-1791	194	43	level	level	NOUN
bcpe-1791	194	44	4.2	4.2	NUM
bcpe-1791	194	45	flexible	flexible	ADJ
bcpe-1791	194	46	use	use	NOUN
bcpe-1791	194	47	of	of	ADP
bcpe-1791	194	48	operation	operation	NOUN
bcpe-1791	194	49	rules	rule	NOUN
bcpe-1791	194	50	to	to	PART
bcpe-1791	194	51	solve	solve	VERB
bcpe-1791	194	52	conic	conic	ADJ
bcpe-1791	194	53	section	section	NOUN
bcpe-1791	194	54	problems	problem	NOUN
bcpe-1791	194	55	,	,	PUNCT
bcpe-1791	194	56	breaking	break	VERB
bcpe-1791	194	57	through	through	ADP
bcpe-1791	194	58	the	the	DET
bcpe-1791	194	59	level	level	NOUN
bcpe-1791	194	60	of	of	ADP
bcpe-1791	194	61	2nd	2nd	ADJ
bcpe-1791	194	62	-	-	PUNCT
bcpe-1791	194	63	level	level	NOUN
bcpe-1791	194	64	mathematical	mathematical	ADJ
bcpe-1791	194	65	operation	operation	NOUN
bcpe-1791	194	66	4.3	4.3	NUM
bcpe-1791	194	67	multiple	multiple	ADJ
bcpe-1791	194	68	solutions	solution	NOUN
bcpe-1791	194	69	to	to	ADP
bcpe-1791	194	70	one	one	NUM
bcpe-1791	194	71	question	question	NOUN
bcpe-1791	194	72	,	,	PUNCT
bcpe-1791	194	73	learn	learn	VERB
bcpe-1791	194	74	to	to	PART
bcpe-1791	194	75	reflect	reflect	VERB
bcpe-1791	194	76	and	and	CCONJ
bcpe-1791	194	77	break	break	VERB
bcpe-1791	194	78	through	through	ADP
bcpe-1791	194	79	the	the	DET
bcpe-1791	194	80	level	level	NOUN
bcpe-1791	194	81	of	of	ADP
bcpe-1791	194	82	mathematical	mathematical	ADJ
bcpe-1791	194	83	operations	operation	NOUN
bcpe-1791	194	84	at	at	ADP
bcpe-1791	194	85	level	level	NOUN
bcpe-1791	194	86	3	3	NUM
bcpe-1791	194	87	5	5	NUM
bcpe-1791	194	88	.	.	PUNCT
bcpe-1791	195	1	summary	summary	NOUN
bcpe-1791	195	2	and	and	CCONJ
bcpe-1791	195	3	outlook	outlook	NOUN
bcpe-1791	195	4	references	reference	NOUN