2022-2023學(xué)年河北省秦皇島市海港區(qū)七年級(jí)（下）期末數(shù)學(xué)試卷（含答案） 一

2022-2023WfêK-tW(T)

1.i+?(-l)°w^>^()

A.1B.-1C.0D.9c)SZ

(Y=2

2.B&r=i?^f?/c%-y=3?W,)

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

3.?0.0000037ffl^W?^?^()

A.3.7xlO-6B.3.7xlO6C.3.7x10-5D.3.7x10s

4.%a<b,üülT^J^-??;^—)

A.ac<bcB.—a<—bC.a—1<b—1

5.10cm,)

A.\~lcmB.16cmC.4c??D.5cm

6.M,?EAABC't’,%^ACD=108°,zF=45°,MzAflùM

)

A.45°B.53°C.63°D.65°

7.?AABC^,ZA:ZB:ZC=1:3:5,PJlJzC(lW^()

A.100°B.90°C.60°D.30°

8.>m-if?Omfc,)

-2

A.1C.-1D.—2

9.T^Ji+WiE^W?()

A.(a2)3=a5B.2a2-ra—2C.(2a)2=2a2D.a?a3=a4

io.￡WMWWM(

A.2gréB.3gréc.&3ié&iD.3léé2

H.BMPM/^~A.J&A,B,PA=2,PB=2.5,PC=3,

5’|J*P?1JW/&ù￡?^>9()

A.2B./bi12C.2D.4^^2

12.Suffi,^é-4-ià^xéù'biE^,

Rim-f￡f?,x6WW()

1

A.a2—x2=(2x+2a)(a—x)B.a2—x2=-(x+a)(a—x)

C.a2-x2—(x+a)(a—x)D.(a—x)2—(x+a)(x—a)

13.Suffi,T?ll^MféAB//CZ)a{J&W()

?zB+X.BCD=180°;

@zl=Z2;

?Z3=Z4;

?zB=z5.

A.14B.24C.34D.44

14.#nl*l,MAB//CD,?PXOUB±—4-Z&?,

△pczwém)

A.

B.

C.

D.

15.M.AD.BE^lJ^AABDé?Wl;kj5,AC=4,

WJBE&ù^C)

A.5B.3D.6

16.M,AB//CD,￡GEF=

60°,/.MNP=45o.T^iJ^iè:?GE//MP-,?^EFN=150°;

CMND

?ABEF=75°;+=)

A.1

B.2

C.3

D.4

17.^WES??:3m2n-12mn+12n=.

(a-b)x2+4y2(b-a)=.

i+W:2023x512—2023x492l'lW?üixt:.

18.“%a>b,JjJlJa2>b2”?

19.in^,^AB,CD^^^O,EO1CD.^AAOE=2AA0C,

^ABOD?fjf^^______°.\

A-^\

CB

20.M,&AABC41,&D&BCü±,AD<AABCjJra,

C-~jBCüz.hlft^C'ftw-,>JFJ??Mi!|?rfêa.

(1)üTMaZEAABCW

?éT?A

(RiJ

(2)^ABAC=15°,MzCttABaW^^

21.(Dw^gfi.

(2)WWM:j2+3-x+1,

Il—3(x—1)<8—x

_____I______I______I______I______I______I______I_______I_____I_______I_______I______?.

-5-4-3-2-1012345

(3)^{tre,(x-3y)(x+3y)-(2x-y)2-y(3x-10y),M't'x=-2,y=|-

22.M,?AABC^,AD1BC,AE^ABAC.^AB=56°,zC=28°,^.ADAEff-J&^

23.

n#rsj

10151150

612810

(2)W,?/4^30?/^.fà?fê&ffl^?Srt3400x?&,

100^b.

(Df??^W^gIOO^M^IW?1300%a<j@^?

iWJ3Sé.(?±:*>??.W>

24.^?±^?{±J“WH?rt?^180’jgftmw

Bftj:z4,zB,ZCMA/IBC^JH-M^?.

*UA+/.B+/.C=180°i?wa

'bRWtHinT,if#±iiESJIbtf?

i?BjJ:&tiA?&AD//BC

■:AD//BC

:■Z1=ZC

=()

???Z1+Z2+Z.BAC=180°()

.-./.BAC+ZB4-ZC=180°

M“in?,^A+^B+^c+^D=360°”

WW-èil(WMW?^±(i):‘￡§-a???

:

■DW

:W^MW

c?

‘m-^(?)wmq<v^‘q>?wa

5!OMW‘‘i-Q>i-?W‘Q>DWU$-J

W&TO‘WWW&Ot‘Q-<?-V?lK‘<7>°Wfl

:?l?

MW4w±oi^p-’^wsm?*^<^w:?W[JO]

D[<^]t

o

^5WEp<￥w‘Oi>l?l>itR-M‘u-oixp^^gt:

?^￥-t

^ai￡W?￥&êr‘u-oixn^^_i

v:w

:

?9_0lX/,'￡=ZEOOOOOOiW(iOl

V[W^]?￡

?w7wMamiwvWH??<è,rai

v:W

‘Z=>l

‘￡=?-^IZ!M(MWJ

v(M^l-z

l*OO(Z)

:(0#=?)x=0?(T)W0^W^￥6l?WW

?M<k^W^Mo(T-W‘(O*?)T=o°

-V:W

■lY^^Mo(i-)■??

‘l=o(l-)‘-:W[WJ

V[^]I

■?),7F^?IRJW(3)^?C

5.[^M]D

(?WJW-:&=%MM%EMxcm,

10-6<x<10+6,

B|J4<x<16,

w?afe#?\JRW5cm,

i&ifc:D.

?IWIO-6<x<10+6,

6.C

(?WJW-:"±ACD^ABCtf]-W%,

.-./.ACD=/.A+/.B,

???Z.ACD=108°,Zf?=45°,

???Z/l=Z.ACD—Z.B=108°-45°=63°.

f?üa:C.

*0W???￡WWBP?T.

7.A

[W-tJr]M:?ii^A-x,RiJzB=3x,zC=5x,

x+3x+5x=180°,

fafax=20°,

BPZ?=20°,zZ?=60°,zC=100°,

A.

Wia?>RtH#4-rtA

fti?3.,S?I*IAWjmo°W&fniM?W.

8.[^]B

[WTJ?lW-:é^$ftl-^X>-1,

Mm—1=—1,

m=0,

B.

è^^?x>m-l,éè'A'M&lx>-1,MWfHW??m-1=-1,

t?m?fmPOMW

^JWaWi.

9.[^M]D

(WW;(a2)3=a6,iiUWfa;

2a2a-2a,H'Fff?'r?'??,&;

(2a)2=4a2,i&CWê-M;

a-a3=a4,j%DW'n’??;

i&ifc:D.

10.[?-￡]D

[Or]W:i￡4HWê?^n,WiJf?d^Ji^?(n-l),M?￡(n+1),

???(n—l)2+n2+(n+l)2

=n2—2n+1+n2+n2+2n+1

=3n2+2,ffi]3n2^^3m,

■■3n2+Zffétt32,

M:D.

,4ms^jwm3

n.[^aiD

[WtJflM-:￡A,B,PA=2,PB=2.5,PC=3,

50Pfjsa/T2,BP^^:T-2.

D.

??WOW?M,èIüBPOI^JWT.

12.trf^Jc

[Or](S?:

a2—x2

1

=2(2%+2a)?(a—x)

1

=2’2(x+a)(a-x)

=(x+a)(a—x),

■?■a2—x2=(x+a)(a—x),

Oé:C.

￡???,W;#W^MW?él<J^l.

13.c

[WWJW:?v+/.BCD=180°,

?'?AB//CD,

O?￡M

?-zl=z2,

■■AD//BC,

?vZ3=Z4,

.-.AB//CD,

?vzf?=z5,

??■AB//CD,

é￡±,?@??^?i;,￡-3^,

C.

M?B4'éiWhMWW??.

14.[g￡]C

[WW]W:■■mUB//CD,PAB±-^*,

.???fè?PfB,PSCD

???△PCDéft^FS,

C.

PSiJCDiW^?,

15.[?]A

[WW]W:-.-/iD^A/lFCtKjtHê,

?'?B^ABD=S&ACD’

■.■△?BD?jffi^R^j5,

?■■S&ABC=ZS^ABD=10>

VBE^AABCi?jfêfa,AC=4,

11

?'?S&ABC=2xACxBE=-x4xBE=10,

???BE=5.

A.

jJt?±M^ST=￡?WbIWWJfflTH^W^aWIOtW-?f?^'ê-ft.

16.D

(WW:?è?§ff:ZG=AMPN=90°,

.‘.GE//MP,fa?!??

?é^BWZEFG=30°,

.-.EFN=180°-zEFG=150°,ift?lEiil;

?xt&FftFH//AB,?lffl,

A_______E________B

G\O\

PX\

/ex?.—H

CMND

■:AB//CD,

:.ABEF+AEFH=180°,FH//CD,

:.AHFN=AMNP=45°,

.-.AEFH=AEFN-AHFN=105’,

???ABEF=180°-AEFH=75°,i&(3)jE^;

@vAGEF=60°,ABEF=7S°,

???AAEG=180°-AGEF-ABEF=45°,

vAMNP=45°,

???AAEG+AMNP=90°,

???AGPN=180°-AMPN=180°-90°=90°,

???AAEG+AMNP=AGPN,AWK?.

ramr4?.

D.

?è^B>WZG=AMPN=90°,M^￥?B|Jnr^lJ?GF//MP;

?é^B'?HfzFFG=30°,^Jffl^lb?BPnJ^zFF/V=150°;

?i??,F\^FH//AB,W^FH//CD,JAKU^AHFN=AMNP=45°,nT^^zFF//=105°,WJ

flmTMMBPTOf#zBEF=75°;

?^Jffl?^Ji+^nTW^EG=APMN=45°,AGPM=90,BP^W-tH^.

17.[^]3n(m-2)2(a-b)(x+2y)(x-2y)404600

[WtfrlM:JM??=3n(m2-4m+4)

—3n(m—2)2,

3n(m-2)2;

(a—b)(x2—4y2)

=(a-b)(x+2y)(x—2y),

(a—b)(x+2y)(x—2y);

JM^=2023x(512—492)

=2023x(51+49)x(51-49)

=2023x100x2

=404600,

404600.

WBP?T;

iSlTif?BP?l.

18.a=1,b=-2(^?~)

[Or]W:f?lftla=l,b=—2,l>-2,fil2<(-2)2,

BP^?a>6,êW?a2>&2.

a=l,fc=-2(^W-).

i??f^’?.a>b,(Hfê^?a2>b2é^J—Xtfa,b?WBPnj.

19.30

[Of]W:?■?EOLCD,

???LCOE=90°,

.-.LAOE+L?OC=90°,

VLAOE=2LA0C,

:.2/.A0C+/.A0C=90°,

BP3Z40C=90°,

???LAOC=30°,

.-.LBOD=LAOC=30°,

30.

frfàfaW&ttjfc&fa&LCOE=90°,&OU40E=2z40CBP?tHz40CéI<jOr,*Js?4gM

15??WPnT#fB/.BOD.

20.ü515°

[HW1W-:(1)■???/&ADC^BCill±.fàtiC&fr,

:./.ADC=/.ADC=90°,

?'■?rMaZEAABCft^Jiwj,

W;

(2)???■?&AD^AABCjf?a,fêaC5BCib±fi?tic'￡?,f?-JFJsfWJM?,

AAC=AC,

:./.C=ZAC'C,

vZAC'C=Z.B+Z.BAC,

:./.BAC=ZAC'C-Af?,

v/.BAC=15°,

???zAC'C-zB=15°,

:./.C-/B=15°,

AzCtUS?*jfé?15°,

15°.

(l)m^Jra?üW4W,AD^i?^;

zAC'Ct:tzB^15°,IWJUC=AAC'CBPnT.

21.W-:{^"2y=?2-

2x+5y=9(2)

?X2W:6%—4y=8(3),

?xW;6x+15y=27?,

19y=19,

m=y=1,

?Cy=lRà?W:3x-2=4,

m-.x=2,

Ajj^?taélW^:r=^;

(2){^+3>x+l?

1-3(X-1)<8-X@

X<1,

X>-2,

-2<X<1,

-5-4-3-2-1012345

(3)(x—3y)(x+3y)—(2x—y)2—y(3x—lOy)

=x2-9y2-(4x2-4xy+y2)-3xy+10y2

=x2—9y2—4x2+4xy—y2—3xy+10y2

=-3x2+xy,

ax=—2,y=|,-3x(—2)2+(-2)X|=-3x4+(-1)=-12-1=-13.

(Orl

BPW^.

22.M:?êF.A?BC^zB=56°,zC=28°,

???ZB4C=180°-56°-28=96°.

vAEWHBAC,

1

.-./.BAE=—Z.BAC=48°.

"ADLBC,

:.Z.BAD=90°-ZB=90°-56°=34°,

???ZD4E=Z.BAE-ZB4D=48°-34°=14°.

[WtJrl?MH?^rt?fn^s^dHzB4C?W^,SOIAEWzB/ic^tBz64E?W^,fti

faAD1BC^tBzB40?<jg^,éZD4E=ZB4E-ZB4DKP

23.W-:(1)SRF^^^?<J^WW^X7C,

n-BHA-ZH(lOx+15y=1150

??^k+l2/=810?

*73ZR(X=55

[y=40’

^^&immMO557ê,^^^?W^407G;

(2)??;Wm'hMiJMZx^^^ClOO-m)^,

MM:40m+30(100-m)<3400,

m<40.

g:<￡?iaW?40^.

1300SEMOT:

mmSZ^'l'?(