2022-2023學(xué)年北京市房山區(qū)九年級(jí)（上）期中數(shù)學(xué)試卷

2022-2023(±)

->iaM(*??8it/hS,<<h?2#,^16^)TffiW&WfflfMM+RW

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

A.2L=yB.A=vc.iJD.1J

3223y23y

2.(2^-)M,BftlAB//CD//EF,BD:DF=\:2,AC:AEMM()

323

3.(2^-)FMAABCMAB±-a,AACF'j/\ABCfaWj

M()

A.ZAFC=ZACBB.ZACF=ZBC.D.AC2=AF’AB

AFBC

4.(2^-)??y=2?^7üx^^CT^2Ml&)±^3WW^

A.y=2(x+2)2+3B.y=2(x+2)2-3

C.y=2(x-2)2-3D.y=2(x-2)2+3

5.(2^-)waoirr

?fl'jia-■MfêflX?A,B,D,^AB±AO,DBA.AB,MOJDOfaABC,

?lJWAC=16w,BC=8m,DB^lm,KlJn]?+Mf±rMAO()

C.14/MD.13/n

2

6.(2#)A(-L,v),By2),C(4,>3)-(x~l)+￡?J

2'1'

üJiJyi,y2,y?ttEM'XZ*)()

A.yi<>’2<>3B.J1<J3<J2C.J’3<>’1<>’2D.y3<J2<yi

7.(2#)y=J+bx+b-2()

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B.a/>>OB-J-,

C.

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8.(2#)fclffl,W?^ABCDX^?r,f?ADfilBCill^,EF^^BD

P.DE>fnCE,CEBDO,W^UT5

?EF^BDSfflTO;

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?△BOE-^ACOD^S^RZtt^1:2;

@ABOC.ègADOêlft?OUg^.()

A,±MS?(*??8iê/b?,$/b?2^,^165?

9.(25>)Kij2L!Z=__________________.

y4y

10.(2^)^s,/hRijajTM^W,WJfeWER

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X...-101234

y...-7-2mn-2-7

M/H.n.(?“>”,“=”§￡“<”)

13.(2#)?WB￡MJIJTM

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WWiftJ￡,￡#￡1SX%±gJSTfflMH?M?<jt±??

14.(25>)?frtitéSy=ax2+bx+c(a^O)Jjxtt?f?,BR,^,

C,JOAC.CB,^&/\ACO^/\CBO,$0

S,y=ax1+bx+2(a^O)MMMKAC=2V5>WJlltWj

15.(2^-)xéIù—y=ax2+bx+c(a^O)41,x?J’tJ.MX'f?;?:^^,

Jiè^x^OyW?Wéfi:

X...12345678

...

y=-3.4-3.8-2.21.47.014.624.235.8

ax~+bx+c

x^J-7t~yX7j^ax2+bx+c=0(a^O),&rf'^—

16.(25?$n|4l,fflWW,?è?y=-?^i?￥W?ar-x2-4x,

=>(*?#llit/Mj,^68^.17,225#;18,20,21,23,25<?65?

19,24,26,27^^75?

17.(55>)$0?,AD5BC&TO&,ZA=ZC,BO=4,DO=2,AB=3,^CDfa-fc.

18.(65>)ELfcl“&èal&y=-2x24-6x4-ca?ffllU5i?(0,-1),(1,-3)M,&.

(1)

(2)SxHJ',

19.(75>)-6x+3.

(1)(X-/J)2+k^^-.

(2);

(3)iè^aWM^élafoMxOy+,(?ij?e,JffiA,iê^).

(1)

(2)axItf,>’>0;

(3)aO^3Bt,

21.(65>)M,??AAfiCb,AD^ftZBAC,E&AD±.~ti,S.BE=BD.

(1)AASE^AACD;

(2)^BD=\,BC=3,5R.^L?W.

AD

22.(5#)M,??^Rfê±WAABC^&->a?￡>￡.W.?

WMf?aùM^WlHl-'bADEF,f?ffAABC-^ADEFW-

23.(6#)7/n,?If?

^^S?T&?K￥E?M>'j4m0?3.86/M,fê?ifé^LMI

H,+3.05/n.

(1)^?éW^^?C;

(2)1.84/M,0.3w'?tBISM;3$tHW,

24.(7^)#JJ|H,—'{!K^^y=x+bè\l!?lfi.*?x^éSS'TAA,j’=ar2+2x+c(a^O)

?üS^-^1^—A,CM*,*Cékfe^(2,3).

(i)

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25.(6#)

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2022-2023(±)

-,&M(W#8il/N?,</b?2#,#M6#)TiS^WIülW,X4>R<

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

A.2L=yB.2L=XC.1JD.1J

3223y23y

[t?mw=A,vA=x,

32

.’.2x=3y,

l'iiA'Ff?'n'??;

B,:*-=Z,

23

.*?3x=2y,

WW:;

C.\‘2L=3.,

y2

?*.2x=3y,

?feC'T'f?'a

D.VA=?,

3y

.*.xy=6,

AiD

B.

[?W-]

2.(2^-)B^llAB//CD//EF,BD-.DF=\-.2,AC:AE?W>^()

A.1B.1C.2D.2

323

[^]AB//CD//EF,

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:.AC-,AE=±,

3

W&:A.

3.(25>)M,FMAABCWüAF±—a,JüiJT^^^t^J?AACF^AABCfflMW

&()

A.ZAFC=ZACBB.ZACF=ZBC.D.AC2=AF’AB

AFBC

LW^JW:%ZAFC=ZACB,üZA=ZA,WljAAFC-’ZACB,A

%ZACF=ZB,E.ZA=ZA,WJAAFO’/\ACB,tW&RB^fa?Sc,

zgA?^AB,,KZ?=Z?>^iOJAAFC^AACF?,

AFBC

%AC2=AF‘AB,flljA?-z?,J|.ZA=ZA,WJAAFC^AACF,

ABAC

?&?a:c.

4.(25?>-=2A’Xttfn?W2^{è-￡?,S|è]±Y^3

A.y=2(x+2)2+3B.y=2(x+2)2-3

C.y=2(x-2)2-3D.y=2(x-2)2+3

[5HT1BuT^?fjWMM.

mm^-:?é?y=2x-2?r?]*￥^2^M{èi<:?,W=y=2(x-2)2;

Mfà±W3W:V=2(x-2)2+3.

M:D.

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:

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809

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3999

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:

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DS‘?'9I=3VE|3

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M/￡1Qw/?iji??[gi?9i-y

0

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2

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7.(2#)T?iJ^fl?ft^y=?+ta+è-2M&IEWiê()

A.OOa?ü^ntyè^j^-x2W7f-n^

B.a/>>(MWi￡y

c.X

D.ftfOf?m

Rjw^m

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AiA?tWB?M,

b>0nt,±ja??yTO?ftJ,

ülT-A=b--4Z?+8=(è-2)2+4>0,WiWIiJ^x

AiC?‘P<,D?fcx?ili?'M?

Aii&:D.

8.(2^-)in?,^^ABCD^?f,fêADfilRC'àl^,EF,EFBD

P,i?fêDEfnCE,CEBDo,fl'inT54-é?iè:

?EF^BDMW;

?0E-.0C=]-.2;

?0P-.0B-.PD=\:2:3;

?ABOE^AC(?DWfR±tt^1:2;

?△BOC-^ADOE()

A.??@B.?@?C.?@@D.?@??

BE=—AB,DF=i-Crj,!lt?&%mBE=DF,BF,

22

üE0JBFDE&TOW>WWr?Mra;

?üW\￡OBE^/\ODC,fêOE:OC=BE:CD=}-.2,fflnnW?ig;

??ElOWCFE^f?lW,'&EF//BC,fa/XOPE^/EOBC,OP:0B=\:

2,WW:OB:PD.^WüIFrjE^;

?W￥MlWJ^MABC￡ltt?rx=ABDEé?ffi^béABCE^ffi^-AOBEé?ffl^

=/\BDEFKJW^R-AOBE{FOWrlEig.

[JW^lW:?V0WABCDê?,

:.AB=CD,AB//CD,

è?fdH&J^n,BE=^AB,DF=àrn,

22UU

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.\EFBDSfflW,

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J./EOBE^&ODC,

:.0E:OC=BE:CD=l:2,

?\'BE//CF,BE=±-M=LW=CF,

WWBCFEWITWW,

.".EF//BC,EF=BC,

.‘.AOPE^AOBC,

:.0P:OB=PEzBC,

\'PE=PF,

.’.PEzEF—PEzBC=\z2,

.‘.OPzOB—lz2,

PB=PD,

.‘.OPzPD=OPzPB=\z3,

.‘.OPzOBzPD=\z2:3,

Sk(3)iE??.

?‘.‘AOBE^AODC,

S

■AQBE_,BEs2=1

$AODCDC4

?\'AB//CD,

:.^BCE^^=^BDEéKjffi,

:.t\BCEWW^R-/\OBEèüffi*R=ABD￡W?fR-/\OBEWffilR,

ABOC=ADOEMin,

D.

A,cm$8i?<b?,4?16#)

9.(2^-)B^=l,plijHX=_Z_.

y4y4

[wi

Vl=l

y4

.x+y3+4=7

y44

[1OJa<J?B&l.

io./WjanMW,w^iraM,maw

ft?^W?2.4m.

[M]W?fflOJnTW?

[?￡]W:-A_=Ai,

5+10h

W-W/2=2.4.

2.4/n,

SWj:2.4.

11.(2ft)

v=?(g%W~)■

[^1y=ax2,

WSU>0,BP

[ftmW:(0,0),

y=ajc,

xv^(0,o)

.??JOaifn?‘|?j|nj±,

:.a>0,

a—I,

KiJüé^WW?t^:y-x2(^W-).

[?VF]-&?raa±ài$wiet?,

12.(2^-)&^My=ajr+bx+c(a^O)4byxè<J

X-101234

.7_

y-2mn-27

[?§]W:vWWàM(0,-2)(3,-2),

/.=1.

32

V(1,/n)#1(2,n)SiJMBW?&W,

.'.m—n,

=.

[^W]#ST2faW?r?m.W?-

13.(2#)?

msWiOélBlftf?a,WailiRl^

BSBOJ^WIOABSI^WTW?MAC,wwiwiw?DE,zKiùnrism+MW?ij

[^?tJrltgi?MB&AADE^A?FG,HAB^A?Z??üW.?C^A?FGW^,^a-

[W^lW-:￡nS,Wift^GF.

M^:tlt>nA?DE^AAFG,EAEIDE,AC1FG,

miu-^=?

ACFG

JTrWFG=AC’DE.

AB

F

(ié)OjH?fêMii.WMWE

14.(2fr)é￡tH?5GWW&y=ax2+bx+c(a^O)fiM,-^j$è?7a

C,i￡fêAC.CB,??fa&AACO^&CBO,WOMWft“WW.

!?l,—y=ax1+bx+2(a^O)Mf?“fflilUMB”.fiAC=2^5-FJJlHsO'J

[filff]fijffl0B^^&,W?IJA,SM?aWtf,

BPBTM.

[M^lW:'?’y=ax1+bx+2,

4Kx=0,Uljy=2,

:.c(o,2),

:.oc=2.

VAACO^ACBO,AC=245’

.0A=A?=0?;apOA=2V5=2.

”ocBCOB’'2BCOB’

i5OB=x,Ri]BC=-j5x,

VZBOC=90°,

:.OB2+OC2=BC2,BP?+22=(V5X)2,

MWx=i,

OB=I,

:.OA=^-=4,

.‘.A(-4,0),B(1,0),

-1.5.

2

x—-1.5.

[ai￥]W3,

15.(2^)?^fxM2?^Ea&}’=??+fa+c(a^O)41,xnTWWfE?tSc^C,T^

X...12345678

y—...-3.4-3.8-2.21.47.014.624.235.8

ax~+bx+c

W;y±{èB.^-F.rl?J-ycr.tfci?f?ax2+bx+c=ü(?5*0)X't'^—

t?W3.7

?jfix=4.

[ftmW-:ih^^nTMi.

^x=3W,y=-2.2<0,^x=4W,y=1.4>0,

M^xa<J-?-^?ax1+bx+c=03.7,

3.7.

[￡i￥J

16.(2^-)$nS,?TM?iêléfàM'b,y=-X2y=-X2-4x,

2

m/fy=-x-4x

?4*^,/A??i?JWtHIW^#I???^fMffif?,W'￡?^iKi+

?BPWt?.

W:M,’-’y=-x2-4x=-(x+2)2+4,

(-2,4),?tt^x=-2,

Sx=-2Hj,>?=-?=-4,

2X4=8.

=>ü￥^M(*?^llil/b?,^68#.17,225#;18,20,21,23,256#;

19,24,26,27^@7#)

17.(5#)&S,AD5BC^TO.ü,ZA=ZC,BO=4,DO=2,AB=3,^.CDtfy^z.

[FFJèZA=ZC,ZAOB^ZCODaI'^ü\/\AOB^ACOD,

{UA0=4,CO=2,CD=3BPRT^üBAtffW-

CDDO

[^1W-=‘:AD5BC^Toti,

:.ZAOB—ZCOI),

VZA=ZC,

:.ZAOB^ZCOD,

?AB=M

"CDDO’

VBO=4,DO=2,Afi=3,

?JL=A,

"CD2’

:.CD=1.5.

[aif]

18.(6F)-2x2+&x+ctKj@a^ü?(0,-1),(1,-3)M?.

(1)

(2)^ax>0nt,êS^yl^xèù^MMF.

[FF](I)

(2)

[fW-g]üS:(1)7ZftB§Sy=-2r+èx+ca<JISWji(0,-1),(1,-3)ffia,

.fc=-l

l-2+b+c=-3’

?Wb=0?

1c=-l

-2X2-1;

(2)Va=-2<0,

.'.x>00t,yx?^tg^???jMF,

>0.

01.

19.(7#)B^n“^a^y=?-6x+3.

(1)ffl@2^?￡?y=a(x-A)M6WJ￡;

(2)iMStflWWjx=3,Mélafe?}(3,-6);

(3)?mift?uQy*-(?,M.?).

[W](1)ffl?3r&SB3r^M?WW;

(2)è(1)

(3)?OWTO?HylWfa,Wft,M,?BPnT.

[^^]W:(1)y=x2-6x+3=x2-6x+32-32+3=(x-2)2-6;

(2)\‘y=(x-3)2-6,

(3,-6),X^^$èS^^Jx=3.

x=3,(3,-6);

(3)?ljig:

X......12345......

y......-2-5-6-5-2......

ifflitüaa'J?M.èUlSJ’/f/K:

[AITia-&aiftO??ZI&aI?J?&??Mm-&ai&s

%.,^MisitHa?kaa.

20.(6^)d-te:

(i)^aM^ii??;

(2)x>3aEx<lOT,y>0;

(3)a0^x^3Bt,a^tv1W±IO3;-1

[^tJ?](1)

(2)èLfénTWWtH^i^;

(3)MaWJft.MsB|JnJM!W?ê.

[M^JW:(1)WWWWr^y=a?+/?x+c>

9a+3b+cc=0

W^éiW:

—^-=2

2a

a=l

M?IMb=-4>

-4x+3;

(2)vzwata(3,o),#w^x=2,

(i.o),

^ix>3s￡x<lBl,y>0,

X>3?&X<1;

(3)^x=O01,y=3,X=2W,y=-1,x=301,y=0,

:.a0^x52301,My3,-1,

3,-1.

21.(65>)M,?AABC41,AD^-^ZBAC,E&AD±—A,S.BE=BD.

(1)AABE^AACD-,

?yêBD=i,BC=3,

AD

(1)m^?W^tH?j4^lJZBAE=ZCAD,W?WHWWOHOJZ

BED=ZBDE,è^??l#?tSWi!lZAEB=ZADC,fgWWHW

fOJê?tè;

(2)=

ADCD

(1)iiF.HJl:‘.'AD^^ABAC,

:.ZBAD=ACAD.

'.'BE=BD,

:.ABED=ABDE.

AAEB=ZADC.

:./\ABE^/\ACD.

(2)JW;VZABE^ZACD.

?AE=BE,

"ADCD’

\'BE=BD=\,BC=3,

.\CD=2,

?AE=à

"AD2"

(?VFJ

=WWH?W14^WflW4.

22.(5#)$U[￥I.?IE^^M^±<AA￡CIU^-^MD￡.iiHftWDEW1E

fàfaAABC^ADEFfateL,

?JffllWtL.

[WJWnJW4iJAD￡F,f?^AABCAD￡FfflM.

[$m??:MJ?O,AD￡FB|J^m^(^?W-).

AABC^AFDF,

DE2

MHftMtH

23.(6^)aMMmEW,-|èi￡^M???^T7W,=^W?eW.^JélT?üfê

^^ZgC^?é^,èa?&EfTéKJzKTO?^4m0t,3.86m,

H,a^?êffl^-ù'SlJitkEWS?M^J3.05m.

(2)1.84m,,￡Ri￡^131±7j0.3mibiH^,Inj:

?MilèWJrrnz>?

rwici)??a<]?^y=^-2+3.86,^^.tnr^SWü?ù^,èMW

?M.

(2)ia3$tHW,htn,MnjwA+2.05=-0.2X(-2.5)2+3.5.

M;(1)3.86m,

RiJiS:~?^?^^ü?^>g>’=ar+3.86(a^O),

Kà(3,3.05)njff3.05=9o+3.86,

WW:a=-0.09.

.?.?é^aWié^>93’=-0.09X2+3.86.

(2)iSJs^JwlftiWiB?WOjhm,

fax=-4-0.09?+3.86,

h+1.84+0.3=-0.09X16+3.86,

^W-/z=0.28.

:iê?j?èMifeffiWSM0.28m.

[?iT]M,

24.(7^>)?ll^l,—y=x+bA,Zl?^?ü[y=ax~+2x+c(o^O)

iMliW—&?TOft￡-TAsCM?,(2,3).

(i)>R—

(2)M^x=m^BW^)'=o-v2+2.v+c(a^O)*D,y=x+b'^T'E,

EDa<J±W,m?WMffl;

Esa?ACm,mDEWJ??JW?E

[##rl(I)

(2)?t^mWW;

(2)PxD(m,-/??2+2ni+3)>WüE(.m,m+1),DE=-m2+2m+3-(m+1)

=-m2+m+2=-Cm-1)2+l,DE

24

W?EPW-lAfà.

[W^lW:(D’.'-^^y=x+/>MSOAC(2,3),

:.3=2+b,

mb=-1,

.'.—y=x+l,

Sy=0B4,x=-I,

J.A(-1,0),

C?<]élétzF^à}’=ar2+2x+cM

|a-2+c=0

14a+4+c=3

ww?a=-1,

1c=3

y=-?+2x+3;

(2)?VA(-I,0),C(2,3).

ADJü'Jm<-1H￡m>2;

?T&D(m,-m2+2m+3'),PlllE(m,m+1),

èaAEAC9PJ-1<m<2,

DE—-m2+2m+3-(m+1)=-irr+m+2—-(w-—)2+—.

24

v-1<0,

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