山东省东营市2021-2022学年中考数学模拟试卷（一模）含解析

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ḄC”Ḅ.ூ௃/CஹCF,᝞:ABCDCEFGAZACD=45°,ZFCG=45°,AC=6BC=6,CF=^CE=3^,-.ZJCF=450+45°=90°,ᙠM/UC"""=J(0)2+(3ᦈ)2=2⌲,/"Ḅ/:.C*AF=#).ᦑ⌱B.ூ/3௃4⚪ὃ78Ḅឋ:Ḅᩩ<=>?@?AḄBᩩC?<=D<ᚖ@FᑖHIJᩩC?FᑖKLC?AᐹᨵஹFOஹPஹQḄKᑗឋ:.BᩩC?Sᑖᡂ>ᐰ=Ḅ=Ὺ@?W?.Xὃ78@?W?Y
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10ூgᫀ௃Cூ᪆௃ூᑖ᪆௃᪷klmW?Ḅᑨoឋ:ᓽqrᑮtu.ூ௃♦ADE஻BC,.,.wADE^AABC,ᦑ⌱C.ூ/3௃4⚪ὃ78lmW?Ḅᑨoឋ:xyz{lmW?Ḅᑨoឋ:⚪Ḅᐵ}.10.ᙠF☢ᙶ᪗N8c஺Ḅᙢ᝞ᡠ/ᨴḄᙶ᪗c1,0,/஺Ḅᙶ᪗c0,2,C3x/4431clC,GBix/4AzBzC2cl......ᢥ᪵ḄO4201882018c2018c2017Ḅ☢cA.5.(-)2016B,5$c,5(¢8D.5-244ூgᫀ௃Cூ᪆௃ூ௃£⚪ᑖ᪆•.•//Ḅᙶ᪗c1,0,/஺Ḅᙶ᪗c0,2,-.OA=\,OD=2,¥Ḅ☢ᑖ\cSS2…S2019,ᙠ@?᪷k¨©oᳮr:4D=y/OA2+OD2=V5,:.AB=AD=BC=2,ZBC஺Ḅ☢cS|=5Ad11⚓/f29⚓

11yZDAO+ZADO=90%ZDAO+ZBAA}=90°,-.NADO=NBAAi,*.*ZAOD=ZABAi=90°fOPOA•,K®’ᓺi2ᓽK=-----1BAX:.BA,23-.A\C=BC+BAi=,299Ḅ☢cS2=-X5=5X-,44᪷k⚪±rAD//BC//GA2//C2B2,:.ZBAA\=ZB\Ai^2=VZABAi=ZAxBiA2=90°f**•/\BAA\s/\B\A\Ai,3A/54/_44_2_2,AஹBABᨵ23V5_375•.²2ᔣߟKX—--------224-.AiC\=BxC\+AiB\=+´=2^1,2444282c2஺Ḅ☢c53=x5=5x(1)2,9ᵫ¶qrS„=5x99·2013238(72018c2017Ḅ☢c&019=5><(ߟ)20'91=5^(ߟ)2018.44ᦑ⌱C./3¶⚪ὃ78lmW?Ḅᑨo¸ឋ:ஹḄឋ:=¹º.¶⚪»¼½ᜧ⚪Ḅᐵd12⚓/f29⚓

12}rᑮS,=5X(I)"T.ஹ⚪11.ÂÃÄÅÆÇᐜÉᦋᵨÌ¥ᜓᙠ5ÎᑁÐÑÒÅÓÃÄḄÅÆÔÕ⁚Ì59800ᔴS59800ᵨØÙÚᦪÜ⊤Þc.ூgᫀ௃5.98x104ூ᪆௃ூ௃£⚪ᑖ᪆S59800ᵨØÙÚᦪÜ⊤c5.98x104.ᦑgᫀc5.98X104./3ØÙÚᦪÜḄ⊤ßc஺*10"ḄßᐸWâã10,஻c᦮ᦪ.åo”Ḅbæ⌕çèéᦪêᡂ஺æÃᦪ/ëì8íî஻Ḅb¸Ãᦪ/ëìḄᦪ<ï.ðéᦪb1æ஻ñᦪAðéᦪḄb1æ"ñᦪ.12.ᑖòß4/-16=.ூgᫀ௃4(fl+2)(a-2)ூ᪆௃ூᑖ᪆௃✌ᐜôõöòß4,÷ᑭᵨFùößOᑖᓽq.ூ௃:4a2-16=4(a2-4)=4(a+2)(a-2).ᦑgᫀc4(a+2)(a-2).ூ/3௃¶⚪ú⌕ὃ78ôöòßܸößÜḄüᔠþᵨxyz{ößß⚪ᐵ}.13.᝞ÿ
ᦪXIX2,…X”Ḅ4,ᑣ
ᦪXI+3,X2+3,…x,+3Ḅ.ூᫀ௃4ூ᪆௃ூ௃⚪ᑖ᪆ᦪXI,X2,…XnḄᙳᦪa,ᑣᦪX|+3,X2+3,…Xn+3Ḅᙳᦪa+3,᪷"#*=—[(xτ—a)2+(X2—a)2+...(x„—a)2]=4.nᑣᦪXl+3,ᑘ+3,…Xn+3ḄSa=—{[(xi+3)—(a+3)]2+[(X2+3)—(a+3)]2+...(x„+3)—(a+3)]2}n=([(XLa)2+(X2—4+...(x•a)2]n=4.+13⚓/.29⚓

13ᦑᫀ4.012⚪3⌕ὃ67"#Ḅ8ᵨᐵ;᪷⚪<=ᑮᙳᦪḄ?ᓄABC8ᵨ"#DEFGᓽI.14.JKᙊ┵ḄN☢PQ3,R4,ᑣSTᙊ┵Ḅᐰ☢V—ூᫀ௃24ᐔூ᪆௃ூ௃⚪ᑖ᪆ᙊ┵ḄYZ[=,32+42=5,ᡠ]ᙊ┵Ḅ^☢V=12T35=15_ᡠ]STᙊ┵Ḅᐰ☢V=_32+15z=24_.ᦑᫀ247r.01`⚪ὃ67ᙊ┵ḄFGᙊ┵Ḅ^☢abcᡧeSTᡧeḄf[ghᙊ┵N☢Ḅᕜ[ᡧeḄPQghᙊ┵ḄYZ[.15.᝞c6T᜜eஹᜧnoᐰpqḄre
ᡂtureḄ⚔0wu0.JKreḄTx(ZO)60஺A,B,Czᙠu0|}Itan//3CḄ~.ᫀA/32ூ᪆௃ூ௃᝞cEhF,re3஺Ḅ[1.'JDE//AO,08=308,11-.DE=-AO=-,33g1••CE_1_,33•.•CD8gxeNDCF=60஺,-.ZCEF=30°,+14⚓/.29⚓

1411:CFQCE=4,2335⏣ᓝ|ᙠᵨZXEFBtanC==2-=3FB223ூ01௃`⚪ὃ6┦xxᦪḄ30xḄxxe¡¢£pᐵK¤0⚪Ḅᐵ;.16.ᙠE¦eABCDBC|ḄR4,AB=5,AC=245ᑣE¦eABCDḄᕜ[gh.ூᫀ௃12ᡈ20ூ
᪆௃ூᑖ᪆௃᪷⚪<ᑖ«¬ceBC|ḄRᙠE¦eḄᑁ¯°ᑁ¯D±ᑭᵨ³´ᳮ¶ᓽI.ூ௃·¸¹BC|ḄRᙠE¦eḄᑁ¯º᝞c1ᡠ»c1ᙠE¦eABCDBC|ḄR4,AB=5,AC=2A/5•ᙠRtZXACEᵫ³´ᳮIKCE={AC2-AE?=J(2য2_42=2,ᙠRtaABEᵫ³´ᳮIKBE=8AB,-AE?=ᡭ-4?=3+15⚓/.29⚓

15.BC=BE+CE=3+2=5,2ºE¦eABCDḄᕜ[gh2X(AB+BC)=2x(5+5Ç20·¸¹BC|ḄRᙠE¦eḄᑁ¯º᝞c2ᡠ»:ᙠE¦eABCDBC|ḄRAE=4,AB=5,AC=2A/5ᙠRtZSACEᵫ³´ᳮIKCE==±⊟ËÌ=2ᙠRtAABE,ᵫ³´ᳮIKBE=y1AB2-AE2=A/52-42=3/.BC=BE-CE=3-2=1,E¦eABCDḄᕜ[2X(AB+BC)=2x(5+l)=12,Î|ᡠÏE¦eABCDḄᕜ[gh12ᡈ20.ᦑᫀ12ᡈ20.ூ01௃2⚪3⌕ὃ67E¦eḄឋÑ]Ò³´ᳮgK¤ᑖRᙠE¦eᑁ¯Óᑁ¯ÔÕ⚪ᐵ;.17.᝞cᙠ☢xᙶ᪗ÙJK0A(1,0),B(1-a,0),C(1+a,0)(a>0),0Pᙠ]D(4,4)ᙊÜ1PQḄᙊ|8ÝÞßàNBPC=90°,ᑣaḄ~.ூ᪆௃ூᑖ᪆௃✌ᐜåæAB=AC=a,᪷ᩩèIKPA=AB=AC=a,¶஺D|ᑮ0AḄéêᓽIᜐᳮᡂì.ூ௃A(1,0),B(1-a,0),C(1+a,0)(a>0),/.AB=1-(1-a)=a,CA=a+l-l=a,AB=AC,+16⚓/.29⚓

16VZBPC=90°,.PA=AB=AC=a,᝞cíîADïODhPT2ºAP,VA(1,0),D(4,4),.AD=5,.AP'=5+1=6,aḄ~6.ᦑᫀ6.ூ01௃ᙊ᜜0ᑮᙊ|0Ḅéê~0ᑮᙊÜḄéêðPQᨬn~0ᑮᙊÜḄéêòóPQ.18.᝞cᑖ«]x^ABCḄôAB,xACᔣABC᜜g4ABD°g4ACE,FABḄ0DEöABïh0G,EFöACïh0H,ZACB=90°,ZBAC=30".÷᝞øùÕজEF_LACঝ¦eADFEreঞAD=4AGý4þFH=-BD4ᐸ
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17/.ZEAC=60°,AE=AC,VZBAC=30°,AZFAE=ZACB=90°,AB=2BC,FABḄF2AB=2AF,BC=AF,AAABC^AEFA,AFE=AB,.,.ZAEF=ZBAC=30°,AEF1AC,ᦑজ
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