2022-2023學(xué)年北京市通州區(qū)九年級(jí)（上）期中數(shù)學(xué)試卷

2022-2023WH(±)

->(*?￡10it<NE,4?<NB25h^20#)

1.(2^)B&3y=2x(y^O),()

A.X=AB.Z=AC.A=2D.*=1

3223y32y

2.(2^)?5(?^y=2(x-1)2-4()

A.(2,4)B.(-1,-4)C.(-1,4)D.(1,-4)

3.(25?TWfeiEeKM()

A.

B.F?

c.

D.

4.(25>)M,AABC?ZB=60°,AB=6,BC=8.WAABCV&S'WJDEWJf.'3?

A

5.(2^)ffiz?5:èa^y=??<ja^[&j?￥^2?W.^^|n]±￥^l?W,

A.y=(x+2)2+lB.y=(x+2)2-1

C.y=-(x-2)2+lD.y=(x-2)2-1

6.(25>)B&?(1,yi),(2,y2),(-3,y3)?èllfcy=-2??±.

1EWJ^()

A.y3<y2<yiB.yi<y2<y3C.yi<y.3<y2D.y2<yi<y3

7.(2M,BE??fê?WCDwBE1.5m,

jHHAB=2m,BC=14m,CDf?S?O-()

8.(25?ftlK,?°ABCDr|i,*.E^ADia±W*,MBEACF,MAE:

AD=1:3,AE=3,S^ACtKj-fé^()

A.3B.6C.9D.12

9.(25?)—?jCtéCffly=ax+b(a^O)y—a^+bx+c(.a^O)?￡|H]—

()

10.(25??oh

ffl”,ffil^PAM?WTPWSW^OJM“M”.

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-^^ftBIJWüEHIAABC^HABDC|0f?,Jè'MH+WM

BPnJ).

A

12.(2#)M,M/1///2///3,Sa/4./5?M/H12./3?O,

BC,DE,EF,%AB=4,BC=6,DE=3,WJEF[MW.

13.(2#)^-^My=x1-2x+H?<jffla^xttHW-4'##^?WJk=

14.(2#)ti^n—i^i^i^y=?-4x+7,y—Cx-h)

2+kéW??

15.(2#)<￡￡>iaa.it

“/ML?”?W&,lWTftiO^#fêJMS,(1)#f^.M(2)

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àfê?tlI"J?XE______cm.

g(l)S(2)

16.(2^)^ir^Awisw.m^/fe?5ow-,m/o-woirt,

M+nramiWi)’tw^ziamsw?

________________.

17.(2>)#11S,&AABCM,ZACB=9O°,CDAB±I^W.WAD=3,BD

-2,SISACD.

18.(2^)y=(a-I)?-4x+2o?ü?^xttWKM.Ma?W

_______?

(19-24?,$?6^;25-28?,<?7^-)

19.(6^-)El￡llA(O,3),B(2,3)IEZ/AW)’=-r+fa+cK^lM?,

20.(6^-)?U|￥],AC,BD?,_èLZABO=ZC.

^üE;/\AOB<^￡xDOC.

21.(6^)in?,?P?-ià±m(xù)^c,D,E,MA,C,

B,C,WCD=1AC,CE——BC.'J'?WJW-

22

FD?W^JlO^,MWJèAB

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W;?W^AM,?a'tafeAM±Jll5?^MX^SAE=EF=FG,BG-.

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±2r￡T￡H-,

?^BH,EH^AB^^C,mCBM^CD=AC.ff?WaC,D?tM

(1)

<2)

üEBJl:\’EH=BG,BH=EG,

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.'.EH//BG,^EC//BG.

:.AC-.=AE-.AG.

AE^EF=FG,

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3

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3

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23.(6^-)

X...-3-2-101

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y03430

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24.(6^-)$nS,ABA.BC,ECLBC,&Dfè.BC.h,AB=\,BD=2,CD=3,CE=6.

(1)<üE:△ABD^AD?;

25.(7^)+,y=x1+hx+célWW^Jx=1,JELJ?/??IL

tgy=-2x-2±.

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(2)

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26.<7Wzimr

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iWMi+W,

27.(7ft)M,△ABCrh,AB=AC,ZBAC=90“,ABCD,

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28.(7^)MYS^GI#IG2,*P^GI±{?-A,A?^G2±{?-?,

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,

(1)&Af?WjA(1,0),(2,3)0A±lWj￡?lO,aC

(-3,4)?

(2)(i,i),OE^fatioWWteH:9(r,f?WaêOF,?

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0x

-5-4-3-2-J]02345x-5-4-3-2-Ij2345

2022-2023K(±)

-,i&M(M￡ioil/J^,$/b?2#,￡20#)Wgffl?im,R<-#

Mi:.

1.(2#)Bfrl3y=2x(y^O),MTWJ?W?M()

A.Z=AB.Z=2Lc.A=2D.A=?

3223y32y

[Wg]W:A.H^Z=2L,FW3x=2y,?MW#?;

32

B.S^jX=A,W3y=2x,

23

c.m2L=l,FW3x=2j>,

y3

D.K^A=?,JWxy=6,

2y

tfeja:B.

2.(2#)^Z1'^^^y=2(x-1)2-4()

A.(2,4)B.(-1,-4)C.(-1,4)D.(1,-4)

[fW>]W:-^?^y=2(X-1)2-4,

d,-4),

M:D.

3.(2#)()

A.

B.

c.

D.?MWf?HW-?M

W,iOWPW.

M:A,JW?BW^N?

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W,

C.S^?Jè:MME^6<j#A^5Wg^,MMOtMUtt

D,@>9fitiwwf?-raa^w^?^-?ffl^.mwféam'W

?MM,i^nTO^M-,

C.

L&WJ*MfTW￡Om?,TO0W,?,?,??a<]t4M,B

?MfflmKgJ4w.

4.(2^-)$U[￥|,△ABC4’,ZB=60°,AB=6,BC=8.^?△ABC7üS4la<JDEMI?

A

Zeo0\

Bn-----------------^c

A

D/3\

A.DCB.BDC

j\A

3/\4

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B.\'ZC=ZC,ZCDE^ZB,

.?.△CDE^ACBA,

B

C>BE=AB-AE=f>-2=4,

BD=BC-CD=8-5=3,

BD

'BC82’AB“62’

?.?-B--E-=--B-D-,

BCBA

X\'ZB=ZB,

:./\BDE^/\BAC,

D,é^AABCfflf?,

ifti&sD.

5.(25?JüWlv=rflüIWVzW2^W,KüWJs

()

A.y=(x+2)2+lB.y=(x+2)2-1

C.y=-(x-2)2+lD.>■=(x-2)2-1

[5HJT1M“?è?i^,±inr?”Mf?,

fc^?![y=??f)a^?^2^^,WJ￥

y=(x+2)2+l.

A.

[￡i￥]

M,

2

6.(25?B&?(1,yi),(2,J’2),(-3,y3)??^y=-2xéI<JlSm±,üüJT^^iè

iEliéKl^()

A.y3<j2<yiB.yi<}’2<y3C.yi<y3<y2D.yi<yi<y3

(WJ?EaW^WSiJRàSWtJf^?j^'J^Wyuy2,y3,

2

W:(1,yi),(2,y2),(-3,y3)y=-2x

,’.yi=-2X12=-2,y2=-2X22=-8,y3=-2X(-3)2=-18,

A.

7.(2#)M,flOJaW?^MCDMfé,WBEI?1-5/7?,

?WAB=2/77,BC=14/77,?]￡WCDMM()

[5X11?W^ftlBAABE-AACD,WMMMtWnf^iB

CDWfi.

[ftmft?-:’.'EBLAC,DCEAC,

EEB//DC,

:./XABE^AACD,

.BE=AB

”CDAC’

’.'BE=1.5/n,AB=2m,BC=\4m,

,'.AC=16/7?,

?1-5=2.

"CD16’

:.CD=\2.

CDMM12/77.

C.

[WJMMLWJWW

8.(2^-)$nS,^ABCD^,E&AD&±.(fi￡,^.gtBE-1gACF,AE:

AD=1:3,AF=3,mACM>()

A.3B.6C.9D.12

FC=1:3,?AF=3,

??)￡L

M:mMABCD^,AD=BC,

'.‘AD//BC,

asAEF^ACBF,

.'.AF:FC=AE-,BC,

’.’AE-.AD=\-.3,

:.AF-,FC=F3,

VAF=3,

FC=9,

.’.AC=AF+FC=\2.

D.

(?iTJO!l5W?M

9.(25>)~y=ax+b(a^O)“U—y=ax2+bx+c(?^0)?R—

[fW^]W:??A+,a>0,b>0,é—a<0,

b<0,iffci&IiüA

é—a>0,b>0,é—a>0,b<0,M

êct,é—a<0,b<0,èZl?^g^gl^nJ^,a<0,b<0,iftia

J^CjEfà;

è—&?SfcSMnJ&ba<0,b>0,è—a<0,b<0,fafa

l?iD

M:C.

ttlt

10.(25?WW'tatiWwf?M,?W?ODfiT?

W”.WWWTIWm?WJII“M”.M?

SffiiSOjWl,?￡^&T±m(xù)M7K￥Miléiè,?“.?iW”iWiféttS*,

P.Q,fesTWWifcW???f?ia^MA,B,c,D

Eftê()

,y

---Cr.?D

A.P^A—QB.P->?—QC.P-C-QD.P—D^Q

[^tf?iB,c,D

(^1ft￥:B,DW.-S,fêmom.MDBB

*±fl-p^a<J7K￥KE^K;

A,P?WA.tA^ffllsJ,i?i?AB?ùWékS,^üA^M^iêf?

SiJ^PaMMIW,i$￡a±?M7K￥￡??O:;

InJSnl^lcAWfAAM,

iWW?.

?ftiasB.

[AIT]M?x&?Ma±AW^Wf?,Mfrmtt?

?W.

—>(^s'Nh?,<zh?2#,2?16#)

11.(2#)M,frAASC^,AB=AC,AD?AC±($WCé^),Rflt?

-^&#BPW^AABCmSDCW,ia'b&WlUMZA=ZCfiD(WtB-4~

BPni).

A

B------------iC

[^)?]wa<j￡ijAAwr

(W^lft?-:WmZA=ZCBD,

JtéiinT:’:ZA=ZCBD,ZACB=ZBCD,

.'./\ABC^A\BDC,

ZA=ZCBD.

12.(2^-)$nS,MZ1//Z2///3,MZ4,ZsftOUu11.z3^f?,

BC,DE,EF,%AB=4,BC=6,DE=3,M?F?ü-fe>4.5.

[zAtf?1AWiJ!HOJ??,B&MRà?+MBPW.

[W^JW:VZ1//Z2//Z3,

.AB=DE

”BCEF’

‘.‘AB=4,BC=6,DE=3,

?A=J_

'*6EF'

WW:EF=4.5,

4.5.

(￡i￥lMf?isffl?iL?SOit?fi

?^S.

13.(2ft)^~^^y=x2-2x+kMk=1.

[5Hff]4?-2x+fc=0,?>￡A=0Itfkf?fê.

LW^JW:W-2x+￡=0,

xlO-W,

/.A=(-2)2-4￡=0,

WWk=1,

1.

14.(2^)-4x+7,v=Cx-h)

2+kliWi?v=(x-2)2+3.

[W1W-&?W^4W^??.

[W^lW:y^x2-4x+l=x2-4x+4+3=(x-2)2+3,

y=(x-2)2+3.

[^1

15.(25>)??W??,14-

to?SJ(1)F/f^.M(2)

^W?^910(.7H,15cm,èt?teiklOJ?tM^WSM?cm,

4cm.

[^tff]

[W^JW:iWWcfêa<Jxcm,

156

WWx=4.

Wt?u/dêé?ffiM4cm.

4.

[?i5?]O?lWl??fO.*|J

&￥$nizHW&￡H?￡*tfi?g1*1W.W&litM?I??￡ffiT?E?f?SW?B

16.(2rn50W-,i+ftJAWW+Wigin^fi,

$nM^￥^ülé^x,(W)^x±|Hja<JléWü^

y=50(1+x)2.

[#wi^rw^M.

[W^lW:?^SW:J-^X±|'B]^MM^J=50(X+1)2.

>’=50(x+1)2.

17.(2?)SnS,^./XABC^,ZACB^90°,CDAB±.^JiW.MAD=3,BD

=2,CD—V?_.

[jW]WfflW?SW?iJCD2=AD-BD,

[W^JW:VZACB=90°,CDAB±a*Jit?,

:.CD2=AD'BD,

BPCD2=3X2=6,

VCD>0,

:.CD=J§.

V?.

L&v￥lM#§TW?S:Mü2±?ù^M.<?ü2ffiMii±W^?<J

18.(2^)^rffl^y=(a-D?-4x+2?iftKtU?*WWftRW-^$,à,Kh?z

1?￡2B￡1.

[W?-I?nWWuttM,Z>2-4?c=0,?W^WHiW*.

[WW]W:V?ü(y=(a-1)A-2-4x+2aWS^^A-ttWHRW->b^^,

è2-4?c=16-4(.a-1)X2a=0,

WW:czi=-1,ai—2,

&aw.a-1=0,WW:a=\.

i&WM^J:-1^2^!.

[ai￥]?5W!±l^T??<]^MW?^a.

=.WW?(19-24?,<?6#;25-28?,§?7#)

19.(65>)BftlA(0,3),B(2,3)JtAy=-r+bx+c[￥]fl±M,6,

?W^.

[Wr]'&A'Bft-^^RàWtJf?^iilb.c,fflW?^S^WBIJnT.

[WW]W:VA(0,3),B(2,3)y=-j?+bx+c|4|^±Ra,

.fc=3

I.~4+2b+c=3

;fb=2>

I.c=3

.?.ltt-g^?^WtJf^>9:y=-X2+2.V+3.

[ai￥J

M^iMW??ù^ei.

20.(65>)#nffl,AC,BDO,&AAB0=AC.

M:AAOfi^ADOC.

[^HJf]migWHW6<J?WWHPnJ.

[WW]iiEHI:VAC,BD^^éKJAO,

.’.ZAOB^ZDOC,

XVZABO=ZC,

/XAOB^/XDOC.

IWW.

21.(6^-)ftlffl,^/J'?MMWêlWj^ABWJ-?fèük±^aC,D,E,fêf#A,C,

￡>?|s]-OLtl±,B,C,￡?R--^M^±,W#CD=±AC,CE=±BC.WiO

22

￡DMO?ioX,^MW^ABéIùKM^^X?(^?JSitgW)

[WJtWRWhWilTOW$WWADC￡‘'’AACB,WWW

wwm.

[?mM:VCD=1AC,CE=1BC,

22

?CD-CE_11

'*ACBC2’

VZDCE=ZACB,

:./\DCE^/\ACB,

?EP_CD=1

"ABAC2’

VED=10m,

:.AB=20m.

.‘.??WABè<JM20

[Aif]

22.(6^)Bftl:frlS,è^AB.

&C,D,^W^c,D&'i&&AB.h,S.AC=CD=DB.

?M^AM±J??^fcMX^RA￡=EF=FG,i￡fêBG;

?W,&￡>J?'ù',BG-fe^j^iffliM,fG-feW^iffliM,?OS??B

H-,

?^BH,&&EH3tABT￡C,?aSCBCD=AC.1W￡C,DM

(1)(??);

(2)MF??.

M:\'EH=BG,BH=EG,

:.mEGBH^m.(wwftmf?wmiw)<??

SM?)

J.EH//BG,WEC//BG.

J.AC-.AB=AE-,AG.

AE=EF=FG,

:.AE=àAG.

~3“

:.AC=1AB=CD.

3

:.DB=1AB.

3

:.AC=CD=DB.

(2)WM#±8PPT.

[&mW:(1)

EGBH&T-?rmK.(Mxvfü^?Jffl^?<J??ààM￥f?-|2IW)(±OSéfi

.‘.EH//BG,WEC//BG.

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AE=EF=FG,

:.AE=1AG.

3

:.AC=1AB=CD.

3

:.DB=1AB.

3

:.AC=CD=DB.

AB,1.

3

(AiTJIO￥fT0WJ?t

23.(6<H

x—-3-2-101

y???03430

(1)

(2)WY?JOWM41?MS

(3)^-2^x<2ltf,

[WJ(1)(-1.4),

!üünTiO^?^y=a(x+1)2+4,MJH?C?.(0,3)KA^tHaRPW;

(2)

(3)?x=2,

[?<]W:(1)(-1,4),

ia—7^a^atl??tJr??;^J:y=a(x+1)2+4,

ffiA(0,3)|Ur?<*+?>2+4.faa=-I,

y=-(x+1)2+4,B|jy=-x2-2x+3:

(2)$n?^fz5:

(3)\‘y=-(x+1)2+4,

.*.ax=-1H},yW<4

^x=2ftf,y=-(2+l)2+4=-5,

èax=-2H'J',y=3,

Aàa-2Cx<2il4,y-5<y^4.

24.(6^)SnS,ABLBC,ECA.BC,^D^.BC.h,AB=\,BD=2,CD=3,CE=6.

(1)^üE:AABD^ADCE;

(2)^Z?DE?üJg^C.

[WJ(I)vfeiWMtèiiE;

(2)fê$g(1)??sfê?

(1)iO:'.'AB1BC,ECA.BC,&D&BC1.,

.'.ZABD=ZDCE=90°.

’.’AB=\,BD=2,CD=3,CE=6,

?AB=1DC=à

"BD2’CE2‘

?AB=DC

”BDCE’

/\ABD^/\DCE-,

(2)è(1)frh/XABD^/ADCE,^ZBAD^ZEDC.

ZBAD+ZADB=90°,

:.ZADB+ZEDC^90°.

:.ZADE=\80Q-ZADB-ZEDC=90°.

25.(75>)?Y?jêL?H*^^4l,y^+?x+cx=1,

y=-2x-2±.

(1)

(2)?W?üWtf??^;

(3)

y

[Wr](1)JEX=1Rày=-2x-2PP

(2)(1.-4)fUWWr?Rfê?.

(3)^Jffla^?iffliHlTOBP?T.

[ftm?:(1)?Ex=lKà.y=-2x-2fê,y=-4,

(1,-4);

(2)(1.-4);

.???èW?ümJf^^:y=(x-1)2-4,

gPMMlW#T?^:y=x2-2x-3.

(3)

X-10123...

...

y0-3-4-30

26.(7ièWzKT-^

Wyttl?üA

aHf?s&B^?ü?iJM^W,^?xtt±6<j^c^./hB|

(1)

(2)tOS'tfsB,

(3)^WW￡M(f?W?cWiU?WOocmcg)W10/?,

LW](1)mra',tlfflf±l?^HPnT;

(2)y=a(x-4)2+3,èifaMi?aAW?ü16a+3=2.?RW

1-T^W?lJéètè;

a16’

(3)

[WUW=(1)toSrr^.

(2)^-.<4,3),(0,2).

y=a(x-4)2+3,

è?éWl?aA,W16c/+3=2.

m=-J-,

a16

2

.-.Wm^iè?^y=—L(x-4)+3;

16

2

(3)W:^y=0,W--^-(x-4)+3=Q-

16

x?=4+4^3’X2=4~4V3?X^JE^?è,?*à^i).

.?.,&C?WS>9(4+4V3.0).

???00=4+4^3?

èV3>|>^OC>4+4Xy=10-

L￡i￥lJEfitBAL^????lL^^teMsBIS#

27.(7#)