2022-2023學(xué)年北京市東城區(qū)東直門中學(xué)九年級（上）期中數(shù)學(xué)試卷

2022-2023+(±)

1.(3#)TJiJTO^^mTOa^()

2.(3fr)$nS??AABC41,D,EfatiftfttfE?lAB,AC±,DE//BC.%DE:BC=3:

4,üWSAADE-.S^ABCJ'J()

A

A.3:4B.4:3C.9:16D.16:9

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()

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A.a>-9B.a<-9C.-9D.-9

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A.24°B.56°C.66°D.76°

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tWWZfl?èH.

2022-2023(±)

1.(35)-)()

f?%5fa*M141fi?ASHI<nqf?rf!,üx^g.

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2.(35)-)$1114],?AABC41,D,E^^M\^.?lAB,AC±,DE//BC.%DE-.BC=3-,

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A

A.3:4B.4:3C.9:16D.16:9

J

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(W^lW:’.’DE//BC,

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S

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C.

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3.(35?BfcljSA(1,yi),B(-4,y2>Wy=-?+3?^±,Rljyi,yi±

()

A.yi>y2B.yi<y2C.yi=y2D.?vi?ft?

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VA(-4,y2)(4,y2)^fOx=0O,KO<1<4,

?‘?yi>y2.

i&iifc:A.

4.(35?AéPj---7CA/5C7j^?+6A--?=0^ri^^A<ffl^irj'?)<^m.

<()

A.a>-9B.a<-9C.a^-9D.a^-9

[5Hi?l=62+4?>o,

[fW^lW-:A=6~+4a>0,

ma>-9.

i&ia:A.

(aWl--7EA&Wax2+bx+c^0(a^O)A=b2-4ac

WftlT^M:^A>0ltf,aA=0ltf,

^A<0W,

5.(3^)^ffl,ABêO<9Kfi^,CD^OOW?.^ABAD=24o,RlJZC()

B

I/Q

I/7

A

A.24°B.56°C.66°D.76°

[#tJrJèABMOOMféW￡lJZA￡>B=90q,MM^WSüZB

[iw^W:vAB^oowa?,

.’.ZADB=90°,

AZB=90°-ZBAD=9Q°-24°=66°,

.’.ZC=ZB=66°.

C.

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^TO>WW?<J1H1^?W-￥.BTê;￥121(ms?)FW?WJOM?,90°?<l

6.(3^>)$n?,?AAZ?C￥,AB=AC=5,BC=8,IUA>J0|?^-￥￥S>J2K?,T

^iê+lEWj?:()

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2

4,IWJfflWféJ-WifWtHAH=3,AMW

W:üAtiftAH-LBCTH,M,

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2

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A.

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C.—

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2

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(I,3).

10.(35???grf-xtfJTjf?x2-kx-12=0tfj—4402,gjijkM?fr-4.

[5Hf?]

[fWWJfa:?!x=2^à?-kx-12=0f#4-2k-12=0,

k^-4.

-4.

L&VFJM?T-%-?WgaW:

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=3,?U=-1,b=0BIJnTWlHéèiè.

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(0,3),

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y=-?+3(^W-).

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12.(3#)Wll^l

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191

ft?f#x=38.

miUWWDE38x.

38.

13.(3^)tinffl,Ettfzi?ffi-ABCD^AEB%&B90°

CFB,&f?EF,^A.E.FH.^?Isl-èai?WJZAEB135°

èW$??<Jtt?^lAB￡F7jWH^^,m^AA￡B^AB?HtTO$$90ofs

fà'h/\CFB,mt&faZEBF=90°,Ufl&BEF?=

BPWW-

umi?=éWOI,

BE=BF,ZEBF=90°,

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:.ZAEB=180°-45°=135°,

135°.

[AiTJMSisJOmiéMWH?

14.(3#)MMy=ax2+bx+cxf?—

ax^+bx+c—Oxi=-1.X2=3.

[$<]

rw^lW:(-1,0),X=1,

(-1,0)2cTx=l(3,0),

WJ^tl^xttèùX?^:(-1,o)(3,0),

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XI=-1,X2=3.

[￡i￥izi&Mawtx

15.(3^)PA,PB^OOM,?]$M?&&A%}B,AC^QO^]^.%ZP

=60°,P?=6,MBC|W^2\/3?

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[#?^1W-:T&&AB,

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.'.PA=PB,

VZP=60°,

ZZPAB

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3

2V3.

16.(3^)$ns,i￡-YM<??MxQv4’.M?Eéffi&liaAE,EFW

c.SftiA(-1,0),B(1,0),AE//BF,K￥-[iy$è

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B'IgMxWWMiuffl.

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17.WM:

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8f?-￥lW^,WM?.

IW^JJW:(1)X2-9=0,

x2=9,

x=±3,

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(2)x2+8x+l=0,

X2+8X=-1,

x2+8x+16=-1+16,

(x+4)2=15,

x+4=±V?5>

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[￡+￥]mw-

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[JW^lJW:i￡-&?^lW#f5V3y=a(X+1)(x-3),

JEC(O,3)-3)=3,Wf#a=-1,

-(x+1)(x-3)=-X2+2X+3.

[Ai￥i

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(WJ?OC,O?^W?CE,OWaittlW.

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VAB=20,

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2

22=226

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21.“&M?WFr5￡;i^x2-2x-3

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(2)'1■fljfflffli;

X

y

(3)^-2^x<2Hj,?üMffiH.

(WJ(1)??è^y=?-2x-3,

(2)

^M??SBP?T;

(3)w^-i'ujMa?niwtH^a.

?-^lW:(1)4_y=0,M0=?-Zr-3,

)WWxi=-bX2=3,

(-1,0),(3,0),

y=x2-2x-3=(x-1)?-4,

FJfW’è?WMO(1,-4),

(-1,0),(3,0),(1,-4);

(2)?!|^:

(3)ax=-2Ht,y=4+4-3=5?

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iffl-&aM?njKWHJ,FOM.

22.?MFOWSM?4b

(1)^△AJ5C^aA)ll!ü0'?#^9O0,WtW^feéKjAABiCi

(2)B

:

z?Z-ui)=(i-iu)?ui-)=v=t$lü?lgE|3(l)iW[^iWJ

(2)

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24.ftffl,AZJ^H??’J^,OAZOD,AB,ODfàRTtiC,?LCD=BD.

(1)wBD*g[S|O

(2)*iOA=3,OC=int,W^D^JL

(W1(1)?OB,èBD=CD,m^fafifa$\ZDCB=ZDBC,MéA?^ê

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saw^gBPW#.

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ZAOZOD,

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VZACO=ZDCB^ZDBC,

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WJBDOMW;

(2)W;T&BD=X,MOD=x+l,?ftOB=OA=3,

f?.RT△OBDrfi,OB2+BD2=OD2,

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25.r’^'B?èT-iéEi'è't1'C?lK?^sr"^TKW-7KWK?^:$c~

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(2)

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(2)éBWI.-V=OIH,y=2.5,

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2.5,1.5;

(3)y=ax2+bx+c,

(0,2.5)(1,3.3)(2,3.3)^ànTW,

c=2.5

*a+b+c=3.3

4a+2b+c=3.3

'a=-0.4

?W-<b=l.2’

c=2.5

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V5-1.5=3.5,

.'.ax=3.5W,y=-0.4X3.52+1.2X3.5+2.5=1.8,

A1.8

IW,1.8.

L6W1?*?<]Wi?it±ia^lS^W^^.

26.xOy41,(1,w),(3>n)y=ax2+bx+c(a<0)_h,iji

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(2)A(xo,m)?M^±,JEL2<XO<3,ttflMffl,JWm,n,c

[WJ(1)*x=0,^Wy=-3,

a+b-3-m

9a+3b-3=n

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—^-=2

2a

(2)1,^BtOS-ft?MWttBPnK#}±!m

2

[MME]W:(1)4‘x=0,WJy=ax1+bx+c=c,

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m=n.

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2

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(2)

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LAO=BO,

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:.OC=OE,

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