浙江省江北区七校联考2022-2023学年数学八年级上册期末经典模拟试题含解析

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2022-2023
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18ᙠRtZiSMO•.•NR»M=30°,.BD=2BM,4BDr-BM2^S[3BM!x+y=G(x-y),᦮ᳮ4y=(2-G)x.ூ௃N⚪ὃO,2-./Ḅឋஹ2/Ḅᑁ.ihᳮஹᐰ,-./ḄᑨhFឋஹ30஺.Ḅ.-./Ḅឋ¡¢hᳮ,£ᐹᨵ¥hḄ¦ᔠឋkl¨©ª«ஹ¬®£j⚪Ḅᐵ.21ஹ(1)জ=(ᡈAC=2AD),ᳮᵫt᪆@AD+AB^AC,ᳮᵫt᪆(2)¯ᡂ±ᳮᵫt᪆ூᑖ᪆௃(Dজᵫ⚪Qᑭᵨ.ᑖḄឋ³30஺.Ḅ.-./ឋ´µᑖ᪆ᓽfঝ᪷*⚪QᑭᵨজḄ¸U´µ,¹ºᣚ>ᓽf(2)᪷*⚪Q¼Cᑖ:rAM,ANḄᚖᚖAᑖ:M½¾´¿ᑭᵨᐰ,-./ᑨh4?bCED-ACFB(A4S),´µᑖ᪆ᓽf.ூE௃HপজAO=gAC(ᡈAC=249)2ACᑖZMAN,ZMAN=120°,ZCAD^60°,ÁZA£)C=90°,ZACD=30°ᑭᵨ,Ὺ-./“-ᔠ¥”ÅAAQC⊡ᡂ¥,2-./fAD=-AC2@AD+AB^ACÇÈHᵫজAD=^ACÉᳮ•.♦ACᑖNM4N,NM4N=120°,

19:.ZCAB=60°,3Z4BC=90°,ZACB=30°,AB=-AC20.AD+AB=AC(2)4ᡂ678&Cᑖ:'AM,4VḄᚖ$ᚖ<ᑖ:=>%AFBN♦.•A஺?ᑖNM4N,:.CE=CF,AABC+ZADC=180°,ZADC+ZCDE=180°..ZCDE=ZABC/NCED=NCFB=90P0.\CED^\CFB(AAS):.ED=FB0.AD+AB=AE-ED+AF+FB=AE+AFᵫ(1)#ঝBAE+Ab=AC0.AD+AB-AC.ூC௃D⚪ὃGῪឋJKLᐰᑨO$PQRS?ᑖḄឋJKLT30஺ḄUឋJ,ᐰᑨOOᳮ⚪ḄᐵW.22ஹ(1)20(2)2278X᪆Z(3)30஺ᡈ60஺ூᑖ᪆௃(1)᪷]᜜(_`abᑁ,⚪Z(2)dDC=AB=2e$ᓽf7gABD0ADCE(3)ᑖhij$জkAD=AEeZঝkDA=DEe$ঞkEA=EDe$ᓽ⚪.ூ௃(1)VZBAD=20°,NB=40஺$.,.ZADC=60°,VNADE=40஺$$ZEDC=20°.(2)DC=AB=2e,

20VAB=AC=2,,NB=NC,VZBAD=180°-ZB-ZADB=180°-40°-ZADB=1400-ZADB,ZCDE=180°-ZADE-ZADB=180°-40°-ZADB=140°-ZADB,.*.ZBAD=ZCDE.ᙠAABD^flADCE'/B=NCZC,AADEÍfÎj,Ὺ-./ঝÊDA=DEËᓽNDAE=NDEA=(180஺-40஺)=70஺VZBAC=180o-40O-40o=100°,:.ZBAD=100o-70°=30°ঞÊEA=EDËZADE=ZDAE=40°,.,.ZBAD=100°-40o=60°,.,.ÒNBAD=30஺ᡈ60஺ËAADEj,Ὺ-./.ூ௃N⚪ὃOᐰ,-./Ḅᑨh-./᜜.Ḅឋ,Ὺ-./Ḅᑨhiឋ.[ᵨᑖSTUN⚪j⚪Ḅᐵ.23ஹ(1)t᪆(2)3,ᳮᵫt᪆ூᑖ᪆௃(1)ᵫEᐵA8,AOḄ0ᑖ:MP,Q,AE,PE,QE,᪷*0Ḅឋ4?01Ḅ2i01Ḅ.3,ᓽAQ=AE,Z1=Z2,N3=N4,`᪷*ᚖḄឋ4?N2+N3=90஺Nl+N2+N3+N4=180஺ᓽ¾,A,஺-ᙠÉ¥ᩩ᪷*ḄhÓ4?¸U.(2)PB,᪷*0Ḅឋ4ᑮ8P=8E,DQ=DE,N5=N6,Z7=Z8,᪷*ᚖḄឋN7+/9=90஺Z8+Z10=90°,4N9=N10,ᵫµḄឋ4N6=N9Ô¿4ᑮ᧕ÇÈÖ3஺¾×OON4ᑮBP=ON,BE=DN,,¹Ø

21ᣚ4ᑮQN=BD.ூE௃HD4E,PE,QE,᝞s••,Eᐵ48,AOḄ0ᑖ:MP,Q
.AP=AE,AQ=AE,N1=N2,N3=N4,
.AP=AQ•
ABLl,2.•.N2+N3=90°.,.Zl+Z2+Z3+Z4=180°
.P,A,஺-ᙠÉ¥ᩩ•••AjPQḄ.(2)QN=BD,ᳮᵫ᝞ÙH¾8-hN•••EᐵA5,4஺Ḅ0ᑖ:MP,Q
.BP=BE,DQ=DE,N5=N6,Z7=Z8V/1//Z2,DCUi,
.DC±h,.,.Z7+Z9=90°,
N8+N10=90°,/.Z9=Z10XVAB±/,DCLh,2
.AB//CD

22AZ6=Z9,...N5+N6=N9+N10ᓽN03P=N0DNTOj5஺Ḅ
.OB=ODᙠA80PiAOON’40DN=NPBO?⊤æÔ¿>?Dᙶ᪗(3)ᑖAB=AP,AB=BP,AP=BP-çèé¸ᔠ¥êëᦪᑖ:>.ூE௃2m+n=5H(1)¥©¥஻=4m-34H<,,n=-lAB(0,3),C(0,-1),

23VA(-6,0),B(0,3),C(0,-1),.,.OA=5OB=3,OC=1,.*.AB2=AO2+BO2=12,AC2=AO2+OC2=4,BC2=16.•.AB2+AC2=BC2,.,.ZBAC=90°,ᓽAC±AB(2)᝞s1¼DrDFJ_yF.,,DB=DC,ZkDBCj,Ὺ-./.♦.BF=FC,F(0,1),äACy=kx+b,ÅA(-î0),C(0,-1)ºᐭ4HAC᪆MHy=-ð•x-l,3ÅDñᙶ᪗y=lºᐭy=-òx-1,3X=-2y/3DḄᙶ᪗M-2î1(3)PḄᙶ᪗MH(-36
0),(-á
2),(-3,3-6)(3,3+73)äBDḄ᪆MHy=mx+n,BDFxóE,{B(0,3)iD(-2G,1)ºᐭy=mx+n,n=31=-lyj3m+n

24A/3m=——43n=3BDḄ᪆MHy=@x+3,3õy=0
ºᐭy=^x+3,3f4Hx=—39VOB=3,AZBEO=30°,ZEBO=60°•••AB=2G
OA=g,OB=3,AZABO=30°,NABE=30஺ÒPA=ABË᝞s2,ËZBEA=ZABE=30°,.♦.EA=AB,••.PFEöᔠ
PḄᙶ᪗M-36,0,ËNPAB=NPBA=30°,VZABE=ZABO=30°,

25AZPAB=ZABO,APA/7BC,:.ZPAO=90°,•pḄ÷ᙶ᪗M-Aõx=-Gºᐭy=ø^x+3,3
y=2,•••P-G
2,ÒPB=ABË᝞s4,ᵫ¡¢hᳮf>4HAB=2,EB=6,ÊPᙠyúûËüËPMP“¼PirPiFLxF,.•.PiB=AB=2g,
EPI=6-25.*.FPI=3-5õy=3-áºᐭy=—x+3,3x=-3,APi(-3,3-6)
ÊPᙠyḄýûËüËPMPz,¼P2rPzG_LxG,
P2B=AB=26

EP2=6+2ḕ,.•.GP2=3+G

26õy=3+Gºᐭy=—x+3,3/.x=3,
.Pi(3,3+6),¦ᡠ®ÒAஹBஹP-M⚔ḄῪPḄᙶ᪗(-36
0),(-6
2),(-3,3-6),(3,3+73).ூ௃⚪ὃᐗᳮḄ⌮ᳮ#30°Ḅ$ῪḄឋ&'ᦪḄ)ᵨ+,-./0-ᜧ⚪⌕34ᑖ678.25ஹ(1);<᪆>(2)জ;<᪆>ঝ;<᪆.ூᑖ᪆௃(1)⚪ὃᳮ⚪4ABᢥ᯿⚪EᡠGHIJᓽL.(2)জ⚪ὃMNOᨬQR⚪◤⌕TUᚖ$WᑖMḄឋ&XᡠYMNZᓄᐸ]^MN_O`aᑮYEḄ.ঝ⚪ὃᚖ$WᑖMḄᑨ`dᐰḄfghiᑭᵨḄWᑖMឋ&ᓽLklm8.:o4ACD,AE±CD.,.PC=PD,PC+PBᨬQpqPB+PDᨬQᦑB,D_s$MᨬQPᓽᡠY.ঝfgtuvOE,DF.᝞J3ᡠx

273VAABC,gADC
.AC=ADZACB=ZCAD=60°f•
AE±CD:.NCAE=-NCW=30஺2
.ZCEA=ZACB-NC4E=30஺
.ZCAE=ZCEA
.CA=CEC0ᚖU?ᑖAE
.DA=DE:.NDAE=NDEAVEF±AF,ZEAF=45°
.ZFEA=45°:/FEA=/EAF:FA=FE,4FAD=/FEDgmEO(SAS):.NAFD=NEFD••஺ᑮAREFḄop`.ூC௃D⚪qrs'᩽=u⌕$⌕fw⚪xᨵyzḄᳮ$-ew(ᚖU?ᑖKL?ᑖḄO{⌕|}$~&⚪ᦻᡠᓄ=ὃ$ᓄ~◤⌕⚪Kᓣ.26ஹ(1)=-2-V3;(2)16+873xூᑖ᪆௃(1)ᵫBᐵ(AḄw=C,BA=BஹCbḄ#$᪷]!#ḄឋJfᓽZ(2)xᐭ$ᓽfᫀ.ூ௃(Dᦪ-1,6Ḅwᑖ:=48,3ᐵ(AḄw=C

28$ABஹCzḄ{2ktx=—2-V3ᦑ|ᦪx=-2-~>(2)x=—2—J5(x-L=(-2-^-V3)2=(-2-2^)2=16+873ᦑ(x-L=16+86.ூ௃⚪ὃ|ᦪᦪஹᦪY⚪ḄᐵᑭᵨMNḄ{YlxḄ.