中考數(shù)學(xué)強化練習(xí)二次函數(shù)填空題專題練習(xí)

2121211121221212111212222二次函數(shù)填空專題訓(xùn)

y

2x

y

yyyyyMy①x2②x0x

M③M

④M2x1

xOyyyxP4

2

ABA

①PO

PAPB②0+k③

BP2?④

ybx+x

BAx

DEFGDEABBC

……

3

24

……1AB2

Dm0DEFG

mm222222

yax+c

b

a

c

+|a

b

++aDx

AB3①2+b

②++

③4++④aABD⑤

bx≠0B021

①04+2b+

③4acb2

4a④a

⑤c2222

yx++

ABy

x

D1

BCx

CDBFE

ACD“x1

AB“y

[

c]+bx+c

[m1mm]①

②1

x

③

x

x

④≠0

yax++a5

①abc0②a+0③4b

④c3b

⑤+b

mam+

11

ABy

CDD1D23

x

22222222

y+x

AB

OBOCOAx+1

D∠DBC∠CBE

y+2x

A

DEGx

CDEFDEOCFAxOOC+

y

+a

Am1

1m0

2ly+c

0CQD

lD∠QED230°β

121121

OABC

C

yx

+caDABa

3

A

AFy

E

DC

∠AFP∠

yyxBCAB3OD62

E

222212222212

++ca5

①abc

②ba③4b

④c3b⑤b

2

4

++ca12

①0②a+bc③2+b④b

1⑤

ac8a

++1x

0

2ax++0③a

x

1

x④0xx⑤0

y

22222222

++①xaxbx+3②③a+bb④yc⑤a+4bc

Ay2x+3

AAC⊥

CACABCD

x+4ax+ba

0

OP2

a

PM⊥x

MBCBAPy

NBCPC1

BC2

1

AP⊥PC

3

a

2121221212121212122121212112112212參考答案∵yyxxx02∴x

0x2

y

y∴①∵x+4x

2x

yy

y

∴0

M∴②∵+4

4

M4

x

∴③∵02Mxx1x2

y

Mx

+4x2+

x

2

∴M2

2+

∴④∴②③②③Amn

knmn0x2

2

ykx

x2

x

∴m+n3PA

+a

4mkm∴y

4

x

∴PA

0

y

x4PBx

0

∵

+

∴PA

PBx

y

PA

PB

1

①1

∵PA

∴AyA′∠POAPOAPO2PAPBPA∴

∵∠∠BPO∴△∽△22∴∠∠∴∠∠PBO∠AOPPBO∴∠∠PBO∴①2

②∴APB∴

∴PBPA

∴+BOPA+[

OA]PAAO

2

2

2

ADy

D4+km∴PA

2

2OD

OD2

8+16∵m+n3∴m

∴PA

2

28

m+m+mn

6+16m

2

∴PA+AOPA

22?m×

6

AO②3

③22△PABeq\o\ac(△,)eq\o\ac(△,)PBO2222△PABeq\o\ac(△,)eq\o\ac(△,)PBO22

2

1∴BP∴BP

?12BO③4

④S+OPm+OPOP

n

m

2

∴0

④③③④Py+bx+ay

Py2+40x1

x2

y4A20

4

2

∵DG∥∴△ADG∽△∴

AO24ADmDG4mDEFGDEFG∵

4

2

∴DEDGDE4）m12m6m2m∴a0

y

c0x1

∴

b

b

∴a

03b+2

1

ya+0∴

c0∴b

a

c

+|a

bb++3b

2+bc①∵AB∴AB∴x2+b0①

1

②a

0∴b

∵x∴1

y0∴a++0②③∵x

A3∴a

+09+3b∴10a+2c∴5++0∴a++∵a

∴4++0③④Dx

Dx

1

1y++a+b

∵1

y

∴a++∵x

A3∴1

0

ab+

x30∴9+3b0

b

a

⑤ACBAB4BC4∵BOC∵c

4

BC∴c

16

∵y∴c

y

2+b

0+

a

AB422∵

AOC∵c∴c

2

15∵y∴c

y

2+b

0+

a

BCAOCAC22BOC

c

∵AC∴c

c

a⑤①

①∵∴a

∵y

∴ab

∵yy∴c

22∴abc

①②∵x

A1

x1

∴

∴2

y0∴4+2b0②③∵ybx+c

y

y

∴

1

∵a

∴4acb

2

4∴③④∵y

021∴21∴23

1

∴④⑤∵∴b

cc⑤①④⑤22222222222222①④

⊥x

F10

0y2

++∴yx++2

y2

+∴0

+x+2x

∴B4

∴BCkx+40ykx+b∴∴BCx+2∴+∴EFx+2x∴△BCF

OB+2x+4x

x

+4∴2BCF2222222222E1

0

yx

∴D

∴OD3

x1

0x1

1x3∴A1

∴AB

COM

∴CD+OD3+

ax++

[mm]①6x+4+2x②1

y022xx

21222122x

x2

1

x

③1

y2x+2④1

y2mx+

m2

+

1

00

m≠0

m

x

①②④①④

①a0

c0∵∴b

∴abc②1

y

+0

+0③x

yb④30a+3bc0x1a

+3+0c3⑤1

y

ya+cam+bm+++

+bm+a

am2+m+

①④①④11ax

2

+0.53.5

∴

30

1

00

3x1

∵C

∴D

32

Dykx

∴y

x3

BD∴x

2

x

OC31

0303x+1

DD0≌DBO∴∠DBO∠∠ABCACB45°2222∴∠∠ACB221

BEBEBE2OF∥BE∠∠∴∠DBC∠CBE∠ACFCFBE2yx

∴F

ACFACCFAAHCFAH2ACCHAF2FH2

x

cos∠ACH

∴45°

∴∠DBC∠CBE∠ACH45°

x

x+3

0

y3∵y

x+3x

+4∴xD12

32222222222Dy

D4

E

DDE

y

FEDFGEDFGDE+DF+FG+DEDF+GEDED′+∴EDFG+

+

+

DE2∵M∴M0

mmmE+∵y∴m

MB

∴y

x+

E2m+

m

?4+

∴

am0x+cA3∴0

222222∴x+3

x12

∴4

2

∵Q∴y

ax∵⊥x

lkx+ckD∴x+∵C∴QD

2ax+c2+∵∴QEDtanβax2k∴β

∵a

∴βx∵x

β

≤β≤60°β

∴2∴

β

60°x4

22

∵yx1caDB∴1DDF⊥xFAB∵△

∴AEBE1

∴AB1∵OABC∴AB2DF1+23∴A0Dyax12

+c

1

FMx

M0OEPFPF∵∴

∴6F4x3×63t∴∠FAB

∵y

3x∴A20

3∵D∴D∴∠DAB∴∠∠DABP∠∠∠FAB∴PF∥AB∴y

y6164t∴6∴P0

2222222222PFP

PFAFGAG∴6

+2

∴G0

PFy+bFG

k

b

∴P0

60

3OD

3AB2

10

1

2

10

02yax++cy1

2x+2…y2h+2x4

y4…②2

y0③①③2x

+20

x+2xx

1Gxx

H∵KH

∴

k

x

①∵1∴a

c∴b

2a0

∴abc

①②∵

y0

∴a∴b

+0+③∵1x0y0∴2

y0∴4+2b0

③④∵+ba∴c

a

∴2

④⑤

∴b

⑤

①③①∵∴a

∵x

0

∴b

∵y∴c0

∴abc

①②∵x1y0∴a++0②③∵0

1

∴ba∴2+b

③④∵2∴a

+∴a+∵a++0∴b+2+

0212212∴b

1④∵

20∴4acb

2

8∴b

2

a

⑤①⑤

∵x

∴b

2

b2

ac①∵10

∴ax++0

x

1

x②∵x

12y0c0∴a+0∴3+0

a

③∵x

0

∴1

x3

y0∵∴1yx⑤①

①∵x

x∴x1ax2++0

1

322①②∵∴ab0②

y

③x1

2∴a+

a

∵x

0∴a

+0∴c

∴a+cb③④a+