2022-2023学年浙江省嘉兴市中考数学专项突破仿真模拟试题（一模二模）含解析

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2022-2023
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21ூR⚗Tẚ௃VWXᔁூCDEᫀ௃"1%50J"2%16J"3%56"4%é᪆ூᑖ᪆௃"1%ᵨ4v²Ḅ⚣ᦪ◀ìíᡠᓰḄïᑖðᓽtᑮ᪵óeJ"2%ᵨãᦪᑖôõö/ஹBஹ஺v²ḄãᦪtᑮCv²Ḅãᦪᯠ⊡ᐰᩩÐÄJ"3%ᵨ700ùì஺v²ḄïᑖðÓ+Òq¯°±²¯³q´µºX»¼Dv²Ḅ¯³ᦪJ"4%á᪛¶Äúû12vµḄ»¼ᦪü¥¸Ḅãាåæaᵱ³Ḅ»¼ᦪᯠ᪷kᭆ᳛ýw-.ூ௃"1%10-20%=50"Ì%EP¸᪵ᐳ¸50̯³."2%50-10-20-4=16"Ì%EPºX»¼Cv²Ḅ¯³ᨵ16Ì.ÄÐÃ+Ä⊡ᐙ᦮᝞ᡠ人数攵A20-一二-二-8-一-6-二二一二-4-二-2-二£0-018-二1:6-114-:二r2-一-ABCD$%&43700x=5650!"#$%&'()*D,"Ḅ#ᨵ56.40᪛2*ᵱᵱ᝕᝕33/T\ᵱ᝕᝕ᵱ᝕᝕ᵱᵱ᝕ᵱᵱ᝕22

22ூ5⚗7ẚ௃:;'ᔁᐳᨵ12?,@%Ḅ()ᦪBᐸDEḄFGាIJKᵱ#Ḅ()ᦪ*2,ᡠNDEḄFGាIJKᵱ#Ḅᭆ᳛=2=1.126Q⚪ὃTUᑡ⊤XY᪛2Xᑭᵨᑡ⊤Xᡈ᪛2X]ᡠᨵ,@%Ḅ()஻B_`⌱bcᔠeᡈ8Ḅ()ᦪghBᯠjᑭᵨᭆ᳛klmeᡈBḄᭆ᳛.oὃTUp.25.᝞BABK஺஺ḄstBYACvwxyD,ZBAC=45°,AB=BC1|}BCKDOḄᑗ200Ḅt*2cm,|▢ᑖḄ☢.ூᫀ௃1}᪆24cm2.ூ௃'⚪ᑖ᪆1ᙠ,ῪABC|bNABC=90°ᓽ@2BD,}AD=CD=BD,ᑣADḄ☢YBDḄ☢v,Bᑣ▢ᑖḄ☢,xBCDḄ☢Bᓽ,x-SAABC-|ᓽ@.2পVAB=BC,.•.ZBAC=ZC=45°,AZABC=1800-ZBAC-ZC=90°,AABIBC,.BCK஺OḄᑗ2BD,ABK஺OḄstB.,.ZADB=90°,X'.'AB=BC,.AD=CD=BD,•*-AD=BD'▢ᑖḄ☢=,SABC=-X—XABXBC=-x—x4x4=4cm2.A2222226.᝞B§☢sᙶ᪗ªBy4ஹBஹ஺ᙠx¬ByQஹEᙠy¬BOA=OD=2,0C=0E=4,8*±04ḄyBse஺Y8ஹEஹ஺yḄ²ᱥwxRGFyBYᐸ¶·¬wx",23

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24ூ5⚗7ẚ௃:;'ᔁîûBஹCஹEyḄ²ᱥ᪆lKy=ax2+fcv+c,a-b+c-0«c=4,16a+4b+c=0a=-16=3,c=4.•.8ஹCஹEḄᱥ᪆y=-!+3x+4#ூ%&2(௃*+8OC-.//0ᳮᵫ᝞4*"BD2=BO2+DO2=5,D^DO^CO^IO,B©=BO+CO^t2=25:.BD2+DO=Bd.•.+BOC-.//0.ᵫ⚪7*Nᙶ᪗-;-2,0<,£>ᙶ᪗-;0,2<,—2k+b=0?.Ḅ᪆-_y=A+6,ᑣb=2k=\*Cb=2.,..ADḄ᪆-y=x+2,?Dᙶ᪗-;w,w+2

25ூJ⚗Lẚ௃NOPᔁ*I=-iSJ7;w=-1-77;VᨵXᔠZ[<\H?;-1ᓝ_i+J7

26ூJ⚗Lẚ௃NOPᔁᑣ-7;-+3஻+4<=஻+2---42*஻=2.5,\HDḄᙶ᪗-(2.5,4.5).⚪⌕ὃmᦪḄᔠjῪ0Ḅឋz0ḄឋᳮḄ⌮ᳮ¡jῪ/0Ḅ¢ᳮjj£¤¥ᐵ¤§-⚪Ḅᐵ¨.27

27ூJ⚗Lẚ௃NOPᔁ2022-2023
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33ூK⚗Mẚ௃OPQᔁ2+(X4-2)2+(X5-2)2+(X6-2)2]=1[(Xl2+X22+X32+X42+X52+X62)-4(X\+%2+X3+X4+X5+X6)+4X6]=3,(Xl2+X22+X32+X42+X52+X62)6=42.*ᦪḄ#ᙳᦪ=—[3xi-2+3%2-2+3x3-2+3x4-2+3V-2+3n-2]=—[3(xi+X2+Xs+X4+X5+X6)66.1.1-2X5]=-r[3X12-12]=-X24=4,66*ᦪḄ'(=1[(3xi-2-4)2+(3x2-2-4)2+(3x3-2-4)2+(3%4-2-4)2+(3xs6-2-4)2+(3x6-2-4)2]=—[9(Xi2+X22+X32+X42+X52+X62)-36(x\+%2+%3+%4+%5+%6)+36X6]=1[9X42-66.136X12+216]=-X162=27.6ᦑ⌱D.4.Yᑡ[\8☢^%_`Ḅ%()ூᑖ᪆௃ᑮ\8☢^ᡠAᑮḄḄd_`ᓽ.ூ=>௃A.\8☢^dfg᣸Ḅij34

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35ூK⚗Mẚ௃OPQᔁA.30B.25C.20D.15ூ89:ᫀ௃Aூ=>௃ᑖ᪆¼dAB=AC,ᡠ½AABCd¾Ὺ_`ᵫDE஻AB,ÀACDEd¾Ὺ_`ÁᳮABDFÃd¾Ὺ_`᪷Ὺ»¾ÅÆÇ»Èᓄᕜ».=>jAB=AC=15,/.ZB=ZC,ᵫDF஻AC,ANFDB=NC=NB,j.FD=FB,ÁᳮADE=EC.¹°AFDEḄᕜ»=AF+AE+FD+DE=AF+FB+AE+EC=AB+AC=15+15=30.ᦑ⌱A.n⚪ᑭᵨÊËÆ#ÌÁÍ`¾-¾°
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&AB஻CD,NA=25°,ZC=45°,ᑣNEḄêᦪ.39

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43ூµ⚗·ẚ௃¹º»ᔁᡠ¨Ḅ!ADx=3.½.!?⚪(ᐳ1t⚪+ᑖ12ᑖvt⚪12ᑖ)22.᝞`AB<஺0Ḅk¿BPᙠABḄÀÁT4ÂCEYABÃBD.ÄÅOEஹAC,ÆNP=NE,ZP0E=2ZCAB.(1)Ç:CE±AB(2)ÇDPC<஺0ḄᑗT(3)ÉBD=2OD,PB=9,஺OḄÊ¿Ëtan/PḄ*.ூ78?ᫀ௃(1)ÇÌÍ!᪆(2)ÇÌÍ!᪆D(3)Î.4ூᑖ᪆௃(1)Ä:OC,᝞`᪷ÐᙊᕜMPᳮ/POC=2/CAB,ᵫÃNPOE=2NCAB,ᑣZPOC=ZPOE,᪷ÐJῪLMNḄឋᓽ%ᑮCE1AB(2)ᵫCE_LABNP+NPCE=90஺4NE=NOCD,ZP=ZE,ᡠ¨NOCD+NPCE=90஺ᑣOCLPC,ᯠ᪷ÐᑗTḄᑨPPᳮᓽ%ᑮ:;.(3)Õ஺()ḄÊ¿Ar,OD=x,ᑣBD=2x,r=3x,᧕ÇRMOCDSRSOPC,᪷Ð×ØLMNḄឋOC2=ODPP,ᓽ(3X)2=X(3X+9),!Ùx,ᓽ%ᙊḄÊ¿
ᳮ%PC2=PDPO=(PB+BD)«(PB+OB)=162,%yzÙPC,ᯠᙠRtAOCP᪷Ð7ᑗḄPÚᓽ%ᑮtan/PḄ*.ூ!௃!D(1)ÇÌDÄÅOC,/.ZCOB=2ZCAB,XZPOE=2ZCAB..,.ZCOD=ZEOD,XVOC=OE,.\ZODC=ZODE=90°,44

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ᳮ%PCÝPDPO=(PB+BD)•(PB+OB)=162,:.PC=9⊈,ᙠRtZkOCPtanZP=—.PC4E⚪ὃHᑗTḄᑨPÞឋஹᚖ¿PᳮஹàáPᳮஹ┦MLM\ᦪஹ×ØLMNḄᑨPÞឋJ&ã!⚪Ḅᐵä<åæᩩ.ÙçUkTᮣéᵨᡠå&ã!ëì⚪åæ᪀î!ëì⚪.ï.!?⚪(ᐳ1t⚪+ᑖ14ᑖvt⚪14ᑖ)23.ðñòåAI!óôõåöḄ÷øùúûóôõåöüýþÿᑖᑖA,B,C,D.᪷Ḅ!ᑡ#⚪%(1)&'(᪵ᐳ(+,-./0(2)1CḄᦪ3⊡ᐰᩩ78(3)9:;<ᐳᨵ700/>?:;<DḄᨵ-./0(4)9AAḄ2/ᵱ2/᝕DEḄ(+2/F:᪥HIJKᕒḄMNᵨᑡ⊤QᡈS᪛UḄVQ1ᡠ(+ḄXាZ[\ᵱḄᭆ᳛.45

45ூa⚗cẚ௃fgᔁூijᫀ௃l1n508l2n168l3n56l4nuv᪆ூᑖ᪆௃l1nᵨ4Ḅ⚣ᦪ◀z{ᡠᓰḄ}ᑖ~ᓽᑮ᪵&8l2nᵨXᦪᑖ/ஹBஹ஺ḄXᦪᑮCḄXᦪᯠ⊡ᐰᩩ78l3nᵨ700z஺Ḅ}ᑖ~?:;<DḄᦪ8l4nS᪛U12Ḅᦪ(+ḄXាZ[\ᵱḄᦪᯠ᪷ᭆ᳛1v.ூv௃l1n10-20%=50l/n%&'(᪵ᐳ(+,50/l2n50-10-20-4=16l/n%CḄᨵ16/.7⊡ᐙ᦮᝞!ᡠ%人数20181614121086420ABCD4l3n700x—=56l/n50%?:;<DḄᨵ56/.l4nS᪛U%46

46ூa⚗cẚ௃fgᔁ/1\X\/Nᵱ᝕᝕ᵱ᝕᝕ᵱᵱ᝕ᵱᵱ᝕ᐳᨵ12Ḅᦪᐸ(+ḄXាZ[\ᵱḄᦪ2,21ᡠz(+ḄXាZ[\ᵱḄᭆ᳛=¦=126&⚪ὃ¨,ᑡ⊤Q©᪛UQ%ᑭᵨᑡ⊤Qᡈ᪛UQᡠᨵḄ஻A⌱ᔠ/ᡈBḄᦪ°"?ᯠᑭᵨᭆ᳛³4ᡈ8Ḅᭆ᳛.µὃ¨,.¶.v⚪(ᐳ1·⚪¸ᑖ14ᑖ¹·⚪14ᑖ)24.AஹB¼½¾¿ÀAÁÂ330ᓟÄḄᵬஹÆᙢÁᔣÉs(ᓟÄ)⊤½¾©ᵬᙢḄÂËt(ᑖ)⊤½¾ÍḄÀÎ᝞Li,Lzᑖ⊤¼½¾ḄS©tḄᐵÔ.(I)Li⊤Ö¼½¾ᑮᵬᙢḄÂË©ÍÀÎḄᐵÔ0(2)½¾BḄ×Ø\-.0(3)1Li,Lzᑖ⊤Ḅ¼½¾Ḅs©tḄᐵÔ.(4)2·À¾ÁÂ-.ᓟÄ0(5)Í-ÙÀÎAஹB¾Á⍗0SᓟÄ240஺180஺12QO60஺0|60120180240tᑖூijᫀ௃(1)Li⊤½¾BᑮᵬᙢḄÂË©ÍÀÎḄᐵÔ8(2)½¾BḄ×Ø\1.5ᓟÄ/ᑖ8(3)si=-1.5t+330,s=t;(4)2·À,¾ÁÂ30ᓟÄ8(5)Í132ᑖÝAஹB2¾Á⍗.ூv௃⚪ᑖ᪆%(1)Þß᪷àᦪNḄáᔣâ⚪ãäL⊤½¾BᑮᵬᙢḄÂË©ÍÀÎḄᐵÔ8(2)ᵫLæ60ᑖÝᜐèḄᙶ᪗äëìâÀÎAÉ1×Ø8(3)ᐜᑖîàᦪᑭᵨàᦪNæḄïäèðᵨñòÔᦪQ1àᦪv᪆8(4)(3)àᦪN1f=120ÀsḄôFõᓽ1v847

47ூa⚗cẚ௃fgᔁ(5)1àᦪNḄöèᙶ᪗ᓽ1v.⚪v᪆%(I)àᦪ7ä½¾8\ᵫÆᙢ÷øᵬᙢᦑL⊤½¾5ᑮᵬᙢḄÂË©ÍÀÎḄᐵÔ8(2)(330-240)+60=1.5(ᓟÄ/ᑖ)8(3)îL51=ú+ûüè(0,330),(60,240)ýᐭÿ=—1.5,6=330.ᡠ=-1.5/+3302$2=஻/(60,60)ᐭk'=l.ᡠ52=f.(4)!/=120"S]=150,$2=120.330-150-120=60(ᓟ&):ᡠ2(")*+,-60ᓟ&(5)!S[=$2",—1.5f+330=t,/=132.ᓽ12132ᑖ4A,8*+,⍗.7./8⚪(ᐳ1(⚪;ᑖ12ᑖ<(⚪12ᑖ)25.᝞>ABCDCDEEBCGHICDEᢚKLAMENᔠᢚPMN,S1tanZAEN=-,DC+CE=10.3(1)XaANEḄ☢[(2)XsinZEḄ^.ூC`8ᫀ௃(1)c(2)dூe/௃ᑖ᪆g(1)ᐜᵫtanNAEN=',DC+CE=10klBE='AB,mᵫnᢚoᣚḄឋr33lNAEN=NEAN,ᡠkᐜBE=a,stXlAB=3a,CE=2autXlaḄ^Xl48

48ூv⚗xẚ௃z{|ᔁBEḄ~ᓽklAB=6,CE=4.XlADḄ~ᯠ)mᵫtanNAENMḄᐵXl,ᑭᵨ☢[X☢[g(2)sinNEḄ^ᵨCXᓽk.e/gᵫᢚKkgMNAEḄᚖᑖAN=EN,AZEAN=ZAEN,1tanZAEN=tanZEAN=—,3••BE=a,AB=3a,ᑣCE=2a,VDC+CE=10,/.3a+2a=10,Aa=2,BE=2,AB=6,CEM,VAE=V4+36=2>/i0.EG=—■AE=—x2Jl0=Jl0,22rMG1•----=~,GE3NG=----,3AN=J>+;=,10AN=NE=—,3EB_2_3sinZE=A®105.Tg>E¡ᩖ⌕¤¥⚪✌ᐜ⌕ᳮ¨>©Ḅᐵª᜜⚪ᎷBE=a®H¯ᐵ°ὃ²/³EḄᵫ³E´ᐗ¶X·ᐗ¶Ḅ¸¹º⌕ᳮ/³E©»¼ḄᐵᓽkX/.49

49ூv⚗xẚ௃z{|ᔁG."#⚪(ᐳ1⚪ᑖ16ᑖ⚪16ᑖ)26.´½ᱥy=ax?+ax+b(a#0)My=2x+mᨵH¯ᐳM(1,0),Æa0),SßGHM½ᱥᨵ*¯æᨵçḄᐳ|XtḄè^ê.ூC`8ᫀ௃(1)b=-2a,⚔DḄᙶ᪗--a)(2)-----------a(3)21,᪷õ☢[ÈkADMNḄ☢[ᓽk(3)ᐜ᪷õaḄ^`½ᱥḄ/᪆ùl>2,ᐜὶðD¹úkX!GHM½ᱥºᨵH¯ᐳ"tḄ^m`!ßH¯ûᙠ½ᱥG"tḄ^kgßGHM½ᱥᨵ*¯æᨵçḄᐳ"tḄè^ê.ூe/௃/gপI•½ᱥý-2++1?ᨵH¯ᐳM(1,0),•*.a+a+b=0,ᓽb=-2a.50

50ூv⚗xẚ௃z{|ᔁτ9a/.y=ax24-ax+b=ax2+ax-2a=a(x+—)2-—,½ᱥ⚔DḄᙶ᪗7Hÿ;(2),y=2x+mM(1,0),:.0=2x1+m,m=-2y=2x-2,y=2x—2ᑣ2y=ax+ax-2aax?+(a-2)x-2a+2=0»/.(x-1)(ax+2a-2)=0,2x=lᡈx=_-2,a24Nᙶ᪗--2,--6
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51ூ⚗"ẚ௃%&'ᔁaDMNḄ☢/S,.1/2ஹ9aஹ27327S=S^DEN+SADEM=7|(--2)--(-3)|=-----------a,2a44a8(3)7a=-l9,i9ᱥḄ᪆<=y=-x2-x+2=-(x+—)2+—,24y=-x2—x+2ᵫீ,y=-2x-x2-x+2=-2x,=xi=2,X2=-LAG(-1,2),•GஹHᐵLAH(1,-2),GHMNOḄ᪆<=y=-2x+t,-x2-x+2=-2x+t>x2-x-2+t=0,S=l-4(t-2)=0,9t=—,47HMNOTᙠᱥV9ᙶ᪗(1,0),W(1,0)Xᐭy=-2x+t,t=2,9•7ZGH[ᱥᨵ]^_ᨵ`ḄaᐳtḄcdfg2

52ூ⚗"ẚ௃%&'ᔁi⚪klmᦪḄoᔠqᵨstmᦪuḄஹklmᦪḄឋwஹ᪷Ḅᑨz<ஹ{|}Ḅ☢/~.ᙠ1ᵫMḄᙶ᪗ᑮb[aḄᐵg⚪Ḅᐵᙠ2ὶ]mᦪ᪆<ᑮᐵxḄᐗklg⚪Ḅᐵᙠ3GH[ᱥ^]^Ḅᑖg⚪Ḅᐵi⚪ὃoᔠឋᜧ.53