福建省莆田市城厢区砺志学校2023-2024学年八年级上学期返校考数学试卷（含解析）

W2023-2024

,»/.%[\>/z.

->&M«'b®45»^405»

1.(45»îfëmHWM()

A.1,2,3B.1,2,5C.2,2,4D.2,3,4

2.(45)-)()

A.-ffKDiB.4i?@iC.WiD.

3.(4^)a®BD^AABCffÙiWW^()

4.<45»M,mxm<

A.30°B.45°C.50°D.85°

1

5.(45»JO^ZA'OB'=AAOB$fâ&()

6.(45»MJÎIfzF,AB=AC,^'M^ADC^^AEB()

A.AB—ACB.AD=AEC.AADC=AAEBD.DC=BE

7.(45»w-g'JMftHÆfe,fê^nSJW^Ma-Æfl,WZaMl()

8.(45»3fl]6,()

A.12B.15C.12s£15D.18

9.(45>)AA+AB+AC+AD+AEtttë^Afa()

A.90°B.180°C.360°D.Æl'îiftÆ

io.(45)-)ÿnS,«Ai>fiiCÂI5>^AA1?CÛ<JI*IÆ-Y5>M^Æ-T5)-^,BAÎfèAAiBDtfjft¥5»£,CA2ê

AAiCDâ<J^¥5>^.BA3&.AA2BDÔ<jÆY5>^.CÀ3^ZA2CDKÆY5>^........<-ZA=a,PI1JZA2022

^()°•

2

202322023

-,«/bS4ft,^245»

H.(45»r±n±JT±.Afi,

12.(45»&JnAABC‘KZC=40°,M),^Zl=20°,MZ2ffimj

13.(45?)#nS,ÆAABC4>,ZÂ=65'J

14.(45>)M,D,£Æià4B±,ZÂ,Z2

15.(45>)M,BD^AABCÿlACE&BC±JÆC,AÂBD3cm2.

3

A

BEC

1

16.(4#)a^-4^pMW,M4aW

“1WÆ”.M-'b“#{ŒHW”fû“»”K100°.

H,(^86#)

17.(6#)3fô>180°,

18.(8#)B£lla,h,cItfêî:|a+c-h\-|6i+è+c|+|2/?+c|.

19.(8fr)MÆAABC't',BO.CO^^ZABC.ZACB^]^^,iŒB|:ZBOC=90°+-1

jfêiiE:Z.C=Z.D.

Tl.(10#)M,/TABC^,ZB>TA,CE^TACB,ffilÿj:TDCE=1-(TB-ZA).

4

23.(12#)M,Æ=+,ADfrfâ,AC=2,ADW

u

24.(12#)MI,«www—mm,æœw«m^”.

(1)iïfâftZBDC^ZA,ZB.ZCZ®^,WMÈ;

(2)IOTSW:

(DM2,îE-±£<ÆHÆRxyzMÆAÂBC±,<É=^RÉüMMftüxr>xzWéSiï^B.c,M

ZABX+ZACX=

®M3,DC^ftZADB,EC^ZAEB,ZDBE=$,1#^a>fn0tftâï^ttZDCEÉÛJW-

25.(14#)WfnÆjZ:

DrtÆ#SÜ^105°,15°“^IligAÆ^”.

[M^WJ

MI,ZM0N=6(T,tiA&i&OM±,WAAD,OBC(^,C>F^O,BM

(1)ZABOÈW»,AAOB(t«“ê”sic‘%^”)

5

(2)^ZACfî=84°,AAOC^

M2,£DÆAABCWÜIAB±,iBÈDC,ÏZ)C±^F,ZEFC+Z.BDC=180",iWMg^tBZ

->(«/b®4#,£40#)

I.(4#)TJiJ-fcSWH&œ,()

A.1,2,3B.1,2,5C.2,2,4D.2,3,4

[#tJrl^iJirrBURT-

[W-^]W:A.V1+2=6,

B.Vl+2<7,

C,‘.‘2+2=1,

D.V3-2<5<3+2,

.-.lè®^3,3,

M:D.

[âi¥l

2.(4#)M,£|s]^r-^AÆ^WMnMTH±Jé,()

6

A.WiB.c.D.^@^@4

(fttir]Jlt®W&iïHTW,

(fW^lW:A.TC*.

B.TO*,

CsW.ftÛASAHfc-,

D>WWi,mWtÊMmiOHWjsW.

M:C.

3.(4^-)TïfilHMS^+,^®BD>AABCWftÔÛ>()

[5HJr1nT.

[#?->]M;A>^BD^ABC^,

B.^BD^^^ABC^,

Cs^BD^^AABCW®,TO-â-M;

D,^BD^/\ABC^,W£»;

7

SfcÜ:A.

lÆ^WlWM

fôHft^âüA.

4.(4#)M,FÀXWO()

AZA

3

A.30°B.45°C.50°D.85°

[Wl£^SWlÏÏOiJW^.

[JW^JJW:180°-85°-45°=50°,

VW,

.'.x=50°,

M:C.

[Æi¥J

5.(4#)JWJZA'OB’=ZAOBiïifâ&()

[WJ0D=0C—0D'=0C',CD=CD',

“SSS”CD1,OB'=ZAOB

[W^lJW:ÈWW(%>=C>C=0D'=0C',CD=C'D',

JWtëfë“SSS”nTWffi&OCD^&O'CD',

fjfrl'J.ZA'OB'=ZA0B.

C.

LSif.)^ITJM-SWS:

6.(4^)ftW/ÎTF,AB=AC,^WiïAADC^/XAEB()

8

A.ZB=ZCB.AD=AEC.ZADC=ZAEBD.DC=BE

[5HfJ△ADCfHAAEB'»AB=AC,ZA=ZA;~W

A£>=AEEP^T.

[fêmW:A.^ZB=ZC0t,&AiEfâ;

B.%AD=AEftî,ÜLBsE^;

C.^ZADC=ZAEBni,i&CjBfô;

D.'^DC=BE^,

D.

[£À¥]SSAAAA

WWL

7.(45»W-ë'JMftz:/«,fêM^âÈ5(i£-Æg,WJ^+ZaâüSM()

B.95°C.105°D.125°

[5HfrlÈ^ênf^ZA«C=90°,AffijnT^WZABD=45°,nTOfL

ramw=sns,

VZABC=90°,ZCBD=45°,

:.ZABD=ZABC-ZCBD=45°,

.•.Za=45°+60°=105°.

i&iâ:C.

8.(45»WAWâ<JMK5W936,()

9

A.12B.15C.12sg15D.18

[^1JWWMfaIWift,

W:©^3^W,

6,6.

JS|-lé>J15;

V3+3=6=5,

B.

9.(4#)tllWJfzF.ZA+ZB+ZC+ZD+Z£W^^^J(

C.360

[^t/f)m^=ÆJf^jft^^Æfi<J^^ZA+ZB=Z2,ZD+ZE=ZL

Zl+Z2+ZC=180°,iaffiïon#^^.

M:të^zBE^ACTF,

VAA+ZB=Z2,ZD+ZE=Z1,

Z8+Z2+ZC=180

.‘.ZA+ZB+ZC+ZD+ZE=\80

B.

10

10.(4#)M,BAi^CAiW^AABCfiÙrt^¥^^n^ÆY^,BA2^ZAïBD6Û^¥^,CA2M

ZAICD6Ù^¥^,BA3ÆZA2BDCA3&ZA2CD.......,^ZA=a,WJZA2022

>9()0•

^Æ1ÉJ^t#tHZACD=ZABC+ZA=2ZCBAi+ZA®,ZDCAi=ZAi+ZCBAi@,®X2^2ZDCAi=2

L

ZA1+2ZCBA1,^lHZACD=2ZAi+2ZCBAi@,È@#1(3WH2ZAI=ZA,^αJZAI=J-Z^=—Œ>

22

ISJSIWLIJZA2=—/Ai=JLa,ZA3=1ZA2=J^X,nj.

23

222

[W^]«;VBAI¥^ZABC,CA1¥^ZACD,

:.ZABAi=ZCBAl=À/ABC\=ZDCAi=ÂZACD,

82

'.’ZA=a,

.*.ZACD=ZABC+ZA=2ZCBA2+ZA®,ZDCA1=ZA1+ZCBA5®,

®X2#:2ZDCAi=2ZAi+2ZCBA\,

:.ZACD^2ZA5+2ZCBA\®,

3ZAi=ZA,

VZA=a,

:.ZA|=Â/A=ÂŒ,

22

11

[«JH!ZÂ2=—/A\=—Z.A=-^—a,

8

832

ZÂ3=—ZÀ2=—ZA=-i-a,

4

852

g

ZÀ2022=—-—a

22022?2022

Wâ:B.

mZAn=^ZA

2n

-,«<h®4#,£24#)

11.(4#)M0f^,Æn_KT±AB,CDW^Ë^J^:>

[#tJrJHOAWtt,Æ£W#mHWM£WWWC<T'£&

iajfcgtë-^S^AWféÆW*êfô,

12.(4#)^M-AÂBCb,ZC=40°,WKtffft-ÆJJf#(M).^Zl-20°,MZ2ft<J®^>360°.

/c\ix

/2X/''

BC'

[#M1|g®ZC=40",1#ÉZ1=2O°pJ^tHZŒDÔÙJÏ^,nj#<

M.

[$mM;EhFrânIWZAC£D=ZC'ED,ZCDE=ZC’DE,

VZ1=20°,ZC=40°,

12

4

AACDE'-Iz

ZCDE=180°-ZC-ZCED=180’-40°-80°=60°,

/.Z2=180’-2ZCDE=180’-6X60°=60°,

13.(45)“)M,&AABC41,ZA=65°245’.

(5HTrJ180J^WZB+ZCMIt360°nTW-Zl+Z2

Mit

(1M:vAABC41,ZA=650,

.•.ZB+ZC=180°-65°=115°,

VZB+ZC+Zl+Z2=360°,

.•.Z3+Z2=360°-115°=245’,

ifimift:245.

180’.

14.(4^-)$11®,D.E&ihABl.,ZA,Z2Z2>Z1>ZA.

13

[^JVZ2&AD£Cfô~>HI'Æ,

.'.Z2>Z3,

VZ1JiAADC(Kj-^bÆ,

.’.Z1>ZA,

.’.Z4>Z1>ZA>

Z2>Z6>ZA.

[,^]«WTHWûWÆWi,

15.(4#)M,BD&/\ABCiiLACÉlW^.E?±BC±AEC,/\ABDffôSÎM31cm2.

A

BEC

BDC\S&BED.

[)W^]W:‘.'BDfè&ABCillACWd1^,AABDMM3,

•'•S&BDC=S,-ABD=3,

\’BE——EC,

2

■'•S.,\BED=^S/:.DBC—1>

8

1.

[âif]8P$A=XJï£XSh

âù41ÆiWW•

16.(45)-)aPÛÜMfêW,“^E.^”,X4>a^

“4etŒÆ”.fci^-'bM100°30°.

[5HJf]aAIÂJ/ÛpÉ^jWfêWHlpÈÙM,iSrïn^Bft^rtABPôI.

[W-^lIW:È®;®W:a=2p,a=100°,

180°-100°-50°=30°,

30°.

14

H.(^86#)

17.(6;>)—3fêz>180°,

(W1£OWI'ÆM360^,3180°,EPWWW

Wl*lÆ««.®ië£WWlWtèWW»fôM

[gmIW:Wt^îàMMMn,

(n-2)X180°=3X360°-180°,

n-4=6-1,

n=5.

[âiflWMMWW,

18.(8^)EZ£Ha,b,tt.iW:|a+c-6|-|a+b+(j+|2Z?+c|.

(^tJrJÉOPW

M.

[W^lft¥:Va,b,

.‘.a+c>b,

|a+c-b\-|a+Zrt-c|+|26+c|

=a+c-b-(a+b+c)+2b+c

a+c-b-a-b-c+?>b+c

[OlzÆX'Hïb*Wmt5C

19.(8^)Md£AA5C4bBO.COZÂŒfi<lÆ¥^^.iŒBJl:ZBOC=90°+1

[$<]^Æ¥5>^ÉÙÆXnTWZOBC=-lzABC,Z0CB=-1ZÂCB,M^^HjZOBC+ZOCB,W

22

180°?iJ^»HPnTWiîE.

(W^lŒPI:vZABC^ZACBO,

:.ZOBC=^ZABC2LZACB,

22

15

:.ZOBC+ZOCB=1(ZABC+ZACB),

5

ZBOC=180°-(ZOBC+ZOCB)

=180°-À(ZABC+ZACB)

2

=180°-Â(180°-ZA)

2

=90°+—ZA,

4

BP:ZBOC=90°+lzA.

2

20.(8^)£ü®,BA=BE,BC—BD

[WJ^mW^Zfa]^^^ZABD^ZEBCffiHlZABC=ZEBD,

HféfëSBiÜAABC^AEBD,W.

M:VZABD=ZEBC,

:.ZABD-ZCBD=ZEBC-ZCBD,BPZABC=ZEBD,

&ZABCffîZEBD^,

BA=BE

•ZABC=ZEBD>

BC=BD

:.ZABC^/\EBD(SAS),

ZZC^ZD.

L£i¥]ÏÈI;

21.(85>)£u®,CEZAD,^.^>JE

16

[;W^tBZA+ZD=90°,M^£iJZABZ)=

90°,M>iJÆBPôT.

[W^lÜEH|:’.'CEEAD,

.\ZCED=9O°,

:.ZC+ZD=90'’,

VZA=ZC,

/.ZA+ZZ)=90°,

,\ZABD=90°,

.'.AABD^Î^^^.

[£W-1êgfillg,OtMWt.

22.(10#)M,△ABC'+>,ZB>ZA,CEWZACB,iO:ADCE=1-(ZB-ZA).

2

nTW^tHZDCE,ZA,ZBZJWJnr.

iiEBJl:VZACB+ZA+ZB=180°,

:.AACB=180°-ZA-ZB,

’.’CE^-^ZACB,

:.ZBCE=—(180°-ZA-ZB),

2

VCDZAB,

:.ZBCD=90°-ZB,

:.ZDCE=ZBCE-ZBCD=È-(180°-ZA-ZB)-(90°-ZB)=90°--LLZB-90°+ZB=2,

2522

17

B|JZDCE=—CZB-ZA).

7

23.(12#)M,AD%)*%,,AC=2,AD

A

[W1JŒ-léADglj£,fëAD=DE,BE,il£/\ADC=/\EDB,BH1AC=BE=2,'fa.ZABE'\',IO

AB-BE<AE<AB+BE,RÀ^iUBPnT.

[tëtëlW;fêléADWE,AD=DE,

VADBC

ZBD^CD,

^E/\ADC^WJZEDB4>,

'AD=DE

-ZADC=ZEDB-

DC=BD

ZZADC^E\EDBCSAS),

.‘.AC=BE=2,

fë./\ABE41,AB-BE<AE<AB+BE,

.'.4-8<2AD<4+7,

.‘.\<AD<3,

’.’AD^^L,

:.AD=6,

Z.

c

F.

a

24.(i25>)Mi,^M^j£âWÂininn—ia^,

18

SI02S3

(1)M%ZBDC-^ZA>Z/kZCZlW^lt

(2)iWM^ÜW±£îit,

®fclffl2,ÎE-MÆHftRXrZ^MÆAABC±,XY.XZfàW&îtiB'C,JUÜ

ZABX+ZACX=36°;

®$nS3,DC^ftZADB,EC^ftZAEB,ZDBE=fi,iWffl'â'a0Wtâ^ttZDCEfàfê.%1.

(WJ(1)JWtàÊSW.

(2)©M(1)

(Wffi(1)

(W^]W:(1)ZBDC=ZBAC+ZB+ZC.

î£fêAD#5ÆOJAE,

.'.ZBDE=ZB+ZBAD.

M,ZCDE=ZC+ZCAD,

PJiJZBDE+ZCDE=ZBAD+ZCAD+ZB+ZC.

5LZBDE+ZCDE=ZBDC,ZBAD+ZCAD=ZBAC,

:.ZBDC=ZBAC+ZB+ZC.

(2)(DÈ(1)4>â^i£njftl,

ZX=ZABX+ZA+ZACX.

XZA=54°,ZX=90°,

19

.'.ZABX+ZACX=36°.

tifêg&h36.

(i)

ZDBE=ZCDB+ZDCE+ZCEB,

IfllJZCDB+ZCEB=ZDBE-ZDCE.

ZLDC^ftZADB,EC^ftZAEB,

ZZADC=ZCDB,ZAEC=ZCEB.

flljZADC+ZAEC—ZCDB+ZCEB.

5LZDCE=ZADC+ZDEA+ZAEC,

:.ZDCE=ZDBE~ZDCE+ZDAE.

BPZDCE=ZDAE+ZDBE

2

ZZDA