2022-2023學(xué)年北京市順義區(qū)仁和中學(xué)九年級（上）期中數(shù)學(xué)試卷

2022-2023(±)

1.(25?B&3a=4Z>(ab^O),WJTM&A1E5ftK()

A.A-AB.A-J-C.A=kD.A-A

b3b4343b

2.(25?2022??mT-fitWWMA?fétnWlX?“7>,??

MJ>WӎfilMWJ.250000fflTMiWzkW

Wzk,^250000H]()

A.0.25X105B.2.5X10'5C.2.5X104D.25X104

3.(25?Bfrl?CjO￡&AB6^à5>ffl?.MAOBC,AC=1,WJAB()

A.JA^?B.IW?c2+V5D0618

222

4.(2^>)-6x-1()

A.1,-6,-1B.1,6,1C.0,-6,1D.0,6,-1

5.(2^-)M,AD//BE//CF,ê^/i>I2A>B>CiftZXE>F,

^AB=6,BC=3,DF^n,WJDE|W?3()

71

A!

B

q

A.4B.6C.8D.9

6.(2-'^My=-?+543

()

A.y=-(x-3)2+9B.y=-(x+3)2+9

C.>■=-(x-3)2+4D.y=-(x+3)2+l

7.(25?(>

8.(25?y=ar2+hx+cA(2,/n),aéi?^B(5,0),

XjTjWMW&TK'HêTê:??C<0;?a-/9+c>0;?w+9?=0;@WtJO

MAc(t,n),WJr+4??+bx+c=nJJWrrW??^tèl?W

%%()

->(?165??<N@25?

9.(25?WS?S:2?-2J2=.

10.(25>)□|N]±,y

____________________-

11.(25)")JE—y=^"2x+3ft.üKy=aCx-h)2+k.

12.(25>)frlS.SAABCf.AB=AC,*DAC±(^￡A,C&-?),MS?

-^^BPWHJJAàBCW/\BDC?,(WtH-'b

BPnj).

13.(2$?)&i|￥|,WWM

5>?m?±,^jHülmBt,

'b￡fàitg￡élWOm?MK^1.6m,m.

14.(24>)aA(-1,yi),B(4,}’2)ê“&Wy=(x-1)2WJVi

y2(ifi“>”,“<”"=”).

15.(25>)&\&y=ax2+bx+c(0^3)ift?%.%}?fiff/K,

16.(2^)$n?,'fa^l&ABC????,ii?l&hEF,&E,

F^-WJièACWBCià±.AC=8,AD=2,W&AEDJSUè^l,

(*?68#)

x-3(x-2)^>4

17.(5#),^--l+2x

X13

18.(5ft)B&A&My=;r+4.r+3.

(2)miitEMMISIfL

19.(5#)B$ll:AABC^AACD,CD^ftZACB,AD=2,BD=3,AC.DC

lW.

BC

20.(55?y=ax1+bx+c(o^O)f?fflWi(3,0)a,Sx=lf?t,

d'?O-4,

2i.(5^-)Ans,&4X46<jiE#Mf?4',AABC^HA

DEFiW.&W-?i-té^1éKPblE#Mf?￡±:

(1)WJZABC=°,BC=;

(2)MWrAABC-^ADEFw,iWMSé.

22.(5^-)

x--3-2-101

J???0-3-4-30

(1)

(2)?WffiMftWr[iIfflLH—i'xBa;

(3)^-4<x<lf?t,fi^tBy?üMXWffl.

23.(6^-)ftlffl,EBCè<J41*.DFEAE,^F,AB=6,BC=4,

~:#.AE,DFtfj&.

EC

24.(6#)?,j^60/n?(f?WlO?fêSWft

xnif?/m,iaftfyni2.#y*gxê?xaWMUl.

25.(6^)DéùW^J(h-4),(2,-3),A,BW

^y^T.^C.

(1)

26.(64>)M,/E^^TPSMABCD^,&&DB,F^üBCh-é,'^DF^-^,

#.ABi?jf?-&#êrf-E,]iZEI)B=ZA.

(1)^üE;ABDF^ABCD;

(2)^^BD=3V5,BC=9,AB=4,#.BEi?']&.

27.(7$?)?fffilMfrMxOyy=mx2+2A(-3,m)B

(1,m).

(1)Om??

(2)(-3,m),

(3)

5

4

3

2

1

-5-4-3-2-1?.12345A-

-2

-3

-4

-5

28.(75>)B&tléMy=ax2-4ax+2(a^O)i?A(-1,m),B(2,n),C(3,p)=

(1)

(2)m,n,péltlfè(ffl'a’Wal?tlfW?^zF);

(3)mnp<0,>Ra

2022-2023(±)

-,(*?#i65h</b?2#)TOm??fM

1.(25?B^3a=4/?Cab^O),JO^J&?UEfàK?()

A.—=AB.A-JiC.A-J*.D.A=A

b3b4343b

[5?Jflbk?léKrlO?:?BPWf?.

[fWWlfa:A.EèA=1PJW3a—4b,MWM

b3

B.èA=2nI^4a=3è,

b4

C,è_l=_è.Rm4a=3b,?W;

34

D,è-l=-lnJff^=3X4=12,

3b

A.

taWJ

2.(25?2022?^JTitT-?^?Wa<l^M^.On?EgRt!W,

ffl,JF’SWWü.?1WOWMT250000JWMiWzKW

Wzk,250000()

A.0.25X105B.2.5X105C.2.5X104D.25X104

[^tJr]aX10"lWj￡,l^|a|<10,n?f?Sn

?WW,w?EiMimuitf,

|S|.n-^^.

(W-^JW;250000=2.5x1o5.

1&j&:B.

^iS^6<J?^^aXio”K^,K

3.(25?BfcnafiAOBC,AC=1,MUAB()

A..Z.11?b.l+>/5c>2->V5D0_618

222

yii]AB=2_AC,

2V5-1

MnJi+^HlAB.

uoi?:vécABAOBC,

:.AC=J^-1.AB,

2

:.AB=-^----X1=?+1

V?-l2

?ftjet:B.

L&i￥]^mABftf&W?&^&ACWBC(AOBC),MAC

(HPAB:AC=AC:BC),1^1ABACHi|f?

AC=J?^1AB^O.6\SAB,AB

2

4“.

4.(25>)M^y=x2-6x-1()

A.1,-6,-1B.I,6,1C.0,-6,1D.0,6,-1

[^J?-]<7.b,cWttBPnj.

[fWo-]J?S:—y—x1-6A--1,

-6,-1.

Wzt:A.

[^]?^aAto+c+IE^JBTfl,b,

5.(2^)toS,AD//BE//CF,/2*A>B.C^D.E.F,

^rAB=6,BC=3,DF=12,()

A.4B.6C.8D.9

ACDF

W-:‘.‘AD//BE//CF,

?AB=PE,

”ACDF’

’.‘AB=6,BC=3,DF=\2,

.6=DE

”6+312’

MW:￡>E=8,

C.

[￡W1

6.(2#)-X2+5Wf?JiWmft,

()

A.y=-(x-3)2+9B.y=-(x+3)2+9

C.y=-(x-3)2+4D.y=-(x+3)2+l

[1fdffl“?WWWW

LM^]M:y=-?+5?<JS^^±-WI4HF??W3

y=-(X-3)2+5+4,HPy=-(x-3)2+9.

i^ià:A.

7.(2^)^i^rai*?^()

C.y=-X2+2X-3D.y=-x2-2x+3

-4),-1,0),

i￡“&Ma<jMtJT??;My=a(x-1)2-4,MthaB|JnT.

[M^]M:d,-4),(-

1,0),

&?^aWflfj$?y=a(A--1)2-4,

JE(-1-0)M:0=a(-1-1)2-4,

a—1,

JWy=(x-1)2-4=?-2x-3,

B.

[aif1WlTzmf?S,fflWiW-Jf??l^W

8.(25)0y=ox2+èx+c?<jTj5A>JA(2,m),Ji^il*B(5,0),XWSMM

JW-?ac<0;?a-b+c>0-,?m+9a=0-,

CG,n),Jüür+4ax2+bx+c=naù~?fg.

()

A.??B.?(§)C.?@D.?@

(5,0)

WlJ?T?,X=2njj#b=-4a,éa-b+c=0n)Wc=-5a,Jk

W-WITT?,

C4-1nT^iJ^r?.

:.a<0,

yXt￡r,

:.C>Q,

'.ac<0,?JEli?.

A(2,m),

.'.JJè?^W>9Max=2>

V?é^^i?*(5,0),

WW?W4O?[il-?]

?(-?w^)^v=;<

‘l-j(1+*)=‘<

?MWW

i?WW<W?‘3TWW&^~‘TWW[WH

?(-w±^)

*ZV=AWWW-liW?WA'?W?I?‘T^QiéWffl^-FRè;(#3)’Oi

OT^^/W^dr^^S^/W[M^1

?(i<-x)</+x)j

?(i<-r)(<C+x)j=(/-^)Z=/2-^z[^]

[^1

?(A-X)(A+X)1(-^2)’6

‘^9?^?^)

[MV]

n:W!

??l^?‘W'AWu^+xq+JCDl-tz-.-

‘TWW5(M‘'-nWWWA￥J'^V

‘TWW5(M‘n3^.’.

*IO?‘o=??+?6da‘M/=??-?8-?tv

‘ui=3+qi+v^\‘

4^?WW￥(Ul:.

V?-—3\'

*0=.5+??v

-=(]?:

q-?’?

‘^?*0=J+?-?V

‘(o‘i-)OTx????

11.(2ft)JE—y—^'2x+3y—a(x"h~)~+kJ^I^9v=(x-1)2+2.

[?]JOHü^aù^^MBPnrW.

[^1M:y=^-2x+3,

=?-2.V+I+2,

=(x-1)2+2,

W,y=(x-1)2+2.

y=(X-1)2+2.

[￡W]WlfflTSM

12.(2#)frlffl,d￡AABC4bAB=AC,&D?AC±(^￡?,ct^),Rg?

-^>ftB|JnJüEHJiAABC^AB￡)Cj0^,AA=ACBD4~

EP?J).

A

----------ic

M:ttZA=ZCBD,

SèfrlT;VZA=ZCBD,ZACB=ZBCD,

:.C\ABC^/\BDC,

ZA=ZCBD.

[aWJ

13.(2^>)￡nS,^JTM>W±—TO?MW1O

5m?W?±,^^igl/nltf,?E??^#

jEWWTjiiS??.i.6/n,Kü^M^iS?/g^8m.

[Or]àOiTOM,Mm

MnJjJcfêM

[JW^lIW:vZABC—ZDBE,ZACB=ZDEB=90°,

.‘.ZABC^ZDBE,

ABC-BE=AC-.DE,

BP1:5=1.6:DE,

:.DE=8Cm),

8.

D

[￡i￥J^JHJO

MtWJ?ijttiM?.

2

14.(2OAA(-1,yi),B(4,y2)y=Cx-1)WJyi

<V2(±A“>”,“<”

[$<]jaunitA,B^^,m^,

J2IW,Mte^BP?T.

[M^lW:JEA(-1,yiXB(4,yz)(x-1)2W,

22

yi=(-1-1)=4:y2=(4-1)=9,

P/rliàyi<y2-

r￡i￥]-ftSMfLhAéKm*

ft'a-SWIW?t

15.(2^)My=ax2+bx+c(0<x^3)^Sf^DStfr/K,MM/MA?-1

[^tff1a?fflaW.m&S?l?Wti?MHf?ft'bt?

BPM.

rw^iw-:é?IOWa,-D,

VJtO3Wfl=l|nJ±,

.*.ittaifcW>/.MlLfiz'bf&^-i;

-1.

16.(2^)$U|4j,^WüA?fiC?r#,EF,E,

AC^nBC?à±.^AC=8,AD=2,WJAA￡D^-|é^10i..

CF~7~

(W1CD=3a,BE+DE+BD

=8,DF+CF+CD=\0,^&]/\BED^^CDF,éWA?Jf^MliélftBP

W;VAABC^^=A^,

:.BC=AB=AC=8,ZABC=ZACB=ZBAC=60°,

\‘AD=2,

:.BD=6,

CE=DE,CF=DF,ZEDF=ZC=60°,

:.AE+DE+AD=AC+AD=IO,BPAAEDJW^10,

10;

DF+BF+BD=BC+BD=14,

VZEDF=ZBAC—ZABC=60°,

ZFDB+ZEDA=ZAED+ZEDA=120°,

ZFDB=ZAED,

ZB=ZA=60°,

ZAED^ZBDF,

(AE+DE+AD)-.(DF+BF+BD)=DE-,DF—CE:CF,

?CE=10=1

"CF147'

1.

7

fx-3(x-2)>4

17.(5#)WO:.^l+2x

x13

RIW'K

ft￥:t?M^?U-3(x-2)>4,f#:A<1,

l<1+2x■W:x<4,

3

“RJTUR*;|H]W4';:Wh'M*4<5r

18.(5^-)B^HZ}*g^y=?+4x+3.

(i)

(2)?fflHMSMS1L

(1)MSB^&JEy=xMx+3?y=(x+2)2-l,BPnJ;￡{±}^.

(2)&W,

[#?-&]W;(1)\‘y=x2+4x+3=x2+4x+4-1=(x+2)2-1,

-2,(-2,-1);

(2)?ij^:

WA'fi.ffiü￡SMWIEB|'/i?

19.(5^-)Bftl:AABC^AACD,CD^^ZACB,AD=2,BD=3,AC,DC

Wlè.

ACAD

tHAC,￡>C.

’.’AABC^AACD,AD^2,BD=3,

:.ZACD=ZB,gpJL=A?,

ACADAC2

AC=\10,

WtfiW‘mo(2)

=38‘o?￡l=3ffV7fiM(I)

:TWWMiJSO

VI#38W‘WY:f#WlMW3bk^WlMWxHWtf(#S)‘13

W6W-XU

?R'WWYWW‘#W^E?SP?M

￡W$~mO?5:?1WW7#WWIW(W1

■t-zci-*)=^

?i=?ew

?0=t-3(l-￡)K>V

‘??'(o*￡)

‘(0^?)t-z(i-X)”=￡Y&W4W/UW^7V

‘(17-

‘fr-êOH/^(0^6?)‘^1=^^.-.:W[MW]

<O‘OW‘<O^)V-Z<I[i#^j

?^W^W￥ZV^‘t-

WW‘Wl=r￡(0‘￡)(0^?)(^?)-oz

ww[M^J

?￡=Gff=3CV

'37=0387V

'0387=O3V7V

‘83V7V/^O3:.

[](1HIW?W&HHPni?

(2)￡èfè:ZABC^ZDEF.^^?ià^Lt^J^?ffl^lW=ft^fflfr>liiEHJlHPnj.

22=2

(W^lW:(1)ZABC=\35°,BC=^2+2V2-

(2)é?it:AABO’ADEF.

3.é;'.'AB=2,BC=2y/2’DE=\f2<EF=2,

■AB-B?_

"DEEF

VZABC—ZDEF,

ZABC^ZDEF.

L?W1WMWttflW,WféB^nizR,M

22.(5#)TOêiDF?:

X...-3-2-101...

y...0-3-4-30...

(1)

(2)?￡￡?IW-M?éW4>iW&￡A&aMaIG

(3)a-4<x<lB'?,ê^WHiyatjMM.

F

IF

[jW](i)(-1,-4),

2

!ü!lW?^^y=a(x+1)-4,^JS?E?(0,-3)aHPHJ;

(2)

(3)OU=-4.-im^MHP^WHij'lWftf?ffl.

rimw-:(i)(-1,-4),

y=a(x+1)2-4,

2

JEa(0,-3)RAy=a(x+1)-4,fêfl=l,

y=(x+1)2-4,BPy=?+2x-3;

(3)Vy=(x+1)2-4,

,'.3x=-4Ht,y=(-4+1)2-4=5,

3x=-1Ht,y=-4,

xmwAx=-1,

a-4<x<1Ht,yKM?-4=gy<5.

23.(6^)&Ul?],E^BCêt+?,DFLAE,i??AF,AB=6,BC=4,

^AE,DF^]IK.

[Or]éWféW^AE?tié,WffiHJMD/lF-A?EB,PIW-^?,

AEAB

UmM:mMABCD^^,

.'.AD^BC=4,ZB=ZDAB^90°,AD//BC,

ZZDAE=ZAEB,

:.BE=CE=2,

22

■‘?M=VAB+BE=V36+4=2V??’

\'DFLAE,

:.ZDFA=ZB=90°,

.‘.ExDAF^/\AEB,

.ADDF

"AEAB’

■4=DF

2V106’

.?.DF=-è/?Q..

5

[￡i￥lW&IMH?ma

24.(65F)&S,-&j￡J^4è8O^fê?Om?mWlWWMl?

XrnWWym2.>Kyx4FW.LHg$ftxaùMMH.

[5FlffJ(80-x)

m,(60-x)m,5üLH§9

[?g]M:é?<:

y—(80-x)(60-x)>

=x2-140x+4800(0<x<60).

y^x2-140x4-4800(0<x<60).

(aWl

25.(65F)DaW.IW(1,-4),(2,-3),-^XM^T?,Bffi

^y^^T^C.

(1)

(2)

[W1(1)(1.-4),(x-1)

2-4,Mie(2,-3)

(2)?(1)B,Mffl^Wfl^raWABCDW?^.

[fcmft￥:(1)y=a(X-1)2-4,

ie(2,-3)fUt?lTO-3=a(2-1)2-4,

a—1,

.'.y=(x-1)2-4=X2-2x-3;

(2)è(1)ftby=x2-2x-3,

4y=0,Müx2-2x-3=0,

xi=-1,X2=3,

.'.A(-1,0),B(3,0),

^x=0,üllJ>>=-3,

:.c(o,-3),

?'?SnaifiABCD=SAACO+SADCO+SABOD——OA,OC+—OC,XD+—OB,IVDI=—X1X3+—X3

22222

X1+JLX3X|-4|=9.

2

ABO)WEfHA9.

26.(6?)$nffl,?WHWABCD^,&DB,F&&BC1.-&,&&DF#&&,

ABE,ilAEDB=AA.

(1)3olE:/XBDF^^BCD-,

(2)WBü=3V5’￡C=9.AB=4,^B￡èW.

[##T](1)èYeH&MtèM#tHZA=ZC,^Z￡/)B=ZART^üJAEDB=

AC,SèADBF=ZCBDB|JRTüEtBABDF^/\BCD-,

(2)EèABDF^ABCD,