2022-2023学年北京市朝阳区中考数学专项提升仿真模拟卷（一模二模）含解析

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2022-2023
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23513.•♦&BḄᙶ᪗Ü#--,0,#50.44ὃ&>1.,¶·¶¸2.9:;ᦪ<ᦪ,᪆.23.᝞LáâCDã¼ᨵ5åᛢåᛢ1ᨵ5ᵯᩚBEé10êᙠåᛢ¼Fᜐ2ᵯᩚ⚔ìEḄí¶A45஺áâ⚔&DḄí¶A75஺Îᙠåᛢî☢ḄAᜐhᑮA,E,Dᙠï5N|2ᵯᩚ⚔ìEḄí¶A30°.পåᛢA,Fñ&òḄóôফáâCDḄé.ூ§¨ᫀ௃#1AF=
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24ARBEᵫ÷ø·¶¸Ḅឋú.2>5=—ACCDIOA/3_10ᓽ1073+10+*x2+V3,2x=10+56.¨>AFḄóôA(10+106)êáâCDḄéA(10+56)ê.24.᝞Lᙠ½wü¼¸45CD1î¶NC,BDஹO.ýAþ஺1&ÿCM
8஺N,ON=1.(1)8஺Ḅ(2)ADCNḄ☢2,4BM0Ḅ☢.ூᫀ௃(1)6(2)5.ூᑖ᪆௃(1)ᵫABCDᑮ!"#!$%&"ᑖ᪷()*%ᑁ┯$"#ᑮ)!$"#-./01$MND21$C"3ᵫ"345ᑮDN6BN=162,7OB=OD=x,⊤90BN2DN,0xḄ:ᓽ</0BDḄ(2)ᵫ"31$"34162,=USAMND6SACND=164,<ᑮaMND☢1,AMCD☢3,ᵫSMW^ABCDMAD3SAMCD=MDh=ADh,=4SAMCD,ᓽ<ᫀ.ூ>?௃(1)6ABCD,.AD஻BC,AD=BC,OB=OD,.*.ZDMN=ZBCN,ZMDN=ZC,,MDDN.,•BMND^AC,——=——BCBNMADCᡠEBN=2DN,7OB=OD=x,ᑣᨵBD=2x,BN=OB+ON=x+l,DN=x-1,.,.x+l=2(x-1),?6x=3,BD=2x=6(2),VAMND^AC,"34162,MN6CN=162,SBMND6SBCND=164,H25⚓/K56⚓

25LBDCNḄ☢2,.♦.BMND☢1,...BMCD☢3,7ADMḄNh,..I1•STtFajABCD=AD,h,SAMCD^TMD,h=—AD*h,WlS24••Srffpsai®ABCD=4SAMCD=12,••SAABD=6,•*SgᵭABNM=SAABD-SAMND=6-1=5.P⚪ὃS"31$ḄឋU2ᑨ/?⚪ḄᐵXYZ៉"31$Ḅᑨ/2ឋU2ḄឋU.25.᝞]Bᙠ%_ACMD,EᙠACḄ`aNA=NC=90஺BD1BE,AD=BC.(1)b6AC=AD+CE(2)AD=3,AB=5,P%_ABMḄcdDP,ePQLDP,
*%BEQ,DPfP2A,B)gᨵhᔠjkḄ:.3ூᫀ௃(1)>l?᪆(2)5ூ>?௃m⚪ᑖ᪆6(1)᪷(`$Ḅo$"#0N1=NE,pᑭᵨ“$$”bu4ABDvBCEBᐰ#᪷(ᐰ#1$!x"#<AB=CE,ᯠz᪷(AC=AB+BC᦮ᳮᓽ<bBFOF5(2)}QeQFJ_BCF,᪷(aBEQv4BCE"3<~=ᯠz0QF=-BF,BCCE3ADAPp᪷(4ADPvaFPQ"3<=7,ᯠz᦮ᳮᑮ(APBF)(5-AP)=0,.0PFQFDP4PAP=BF,ᑭᵨ"31$!xᡂ45</.?.PQQFm⚪?᪆6(1)VBD1BE,.,.Zl+Z2=180°-90°=90°,ZC=90°,.,.Z2+ZE=180°-90°=90°,H26⚓/K56⚓

26N1=NE,:ᙠBABDv4CEBC,Z1=ZE<4=NC=90",AD=BC.,.BABD^ACEB(AAS),I.AB=CE,AC=AB+BC=AD+CE(2)᝞]}QeQFJ_BCF,ᑣBBFQs/^BCE,BF_QFt9~BC~~CEBFQFRnᓽ,355AQF=-BF,VDP1PQ,ZAPD+ZFPQ=180°-90°=90°,,/ZAPD+ZADP=180°-90°=90°,AZADP=ZFPQ,XVZA=ZPFQ=90°,/.BADP^AFPQ,AD-AP^~PF~~QF'3_APᓽ5—/+8'H27⚓/K56⚓

27A5AP-AP2+AP*BF=3*-BF,3᦮ᳮ,(AP-BF)(AP-5)=0,•,P2A,B)gᨵhᔠ,,APr5,AAP=BF,DP_APᵫBADPsaFPQ,TQ~QFDP_3~PQ~~5H28⚓/K56⚓

282022-2023
ᓅ□ὃᦪ⚗ᓣᔁஹ⌱⌱ᐳ42ᑖ1.᝞]Yᵨᙽᐰ"`ḄᡂḄ☢ᑮḄ]YA.2.ᑡC,ḄYA.20=0B.a+a=a2C.V9=±3D.(a3)2=“63.¡ᑡ]C,!£]ᨵ)♦ᯠঞA1¢B.2¢C.3¢D.4¢4.¤¥ᖪ§!Mᕜ᝕ªḄ«¬-®᝞¡⊤ᡠ9:⁐¼⁐½⁐¾⁐¿⁐³⁐ᦪÁÂ10018022080520¯ᳮ°/Pᕜ-᝕ªj±-²³⁐Ḅ<ᵨᩭ?¶·¸¹Ḅ®º»Y)A.ᙳᦪB.CÄᦪC.ÅᦪD.Æ5.᝞]ᡠ96ᦪÇMAᡠ⊤9Ḅᦪa,ᑣaḄ:YH29⚓/K56⚓

29A75+1B.V5-1C.-75+1D.-V?-16.᝞]ABCDCAE_LBC,AF±DC,AB6AD=263,ZBAD=2ZABC,ᑣ7.Û`ÜÝM6±ÞßàáeâãäᜋMjÞḄj┐vᑖ┐Ḅᜳ$Y120஺ãáeâzéY6±Þj┐vᑖ┐Ḅᜳ$éY120஺ê`ÜáeâᜧìᵨA.40ᑖÞB.42ᑖÞC,44ᑖÞD.46ᑖÞ8.᝞]ᙠïABCDC!$%AC.BD"
O,ஹEஹFᑖðYAO.ADCAB=f>,3C=8,ᑣḄᕜ9.ÛòᔠᵯôCᵯõḄᵯö/:ᵯ÷IA2ᵯùRCᡂû45.]⊤9ḄYüᵯôCᵯ÷I2ᵯùRýþÿᦪᐵḄᑣᵨᵯR⊤ᵯIḄᦪ᪆ூ௃10.᝞ᔆᨵ!"#$%!Ḅ&'($ᧇ⁚+,-.⌕ᢥ1ᡠḄ34567($ᧇ89:;!<▢>?ᑖAᱏᜓᵨD9:Ḅ;!☢FG;!H(IxஹyMᑖN

30A.x=10,y=14B.x=14,y=10C.x=12,y=15D.x=15,y=12x-111.VᑖWḄX0,ᑣxḄX-2B.y<-2C.-2014.noᔆpᨴrstuv50w`Oxyzᐳstuv182w`.|}ᔆ~ஹᨴrᙳᨴḄI᳛xḄ3m

3116.᝞xᦪy=ax?+bx+cḄxAஹBHyC,dOB=OC,ᑡcজb>ldbW2ঝb?-4ac<4a2ঞa>gᐸ1¤Ḅ`ᦪ

32<1AÑ4*5ḄXc<2AV2*

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34ᡃ+,-ᩩ!"#.“012CḄᙶ᪗(0,-)M7ᱥC2:y=mx2-2mx-3m(2)“0”ᙠ%>?▲7ᔲBᙠP,DEAPBCḄ☢FGHBᙠIJAPBC☢FḄM;HOᨵBᙠQRSᳮᵫV(3)XABDM[\]ImḄM.%35⚓/(56⚓

352022-2023
ᓅ□ὃᦪ⚗ᓣᔁஹ⌱⌱ᐳ42ᑖ1.᝞a7ᵨcᙽeᐰghḄijklmᡂḄnolpj☢qnolEᑮḄ\7stூᑖ᪆௃xᑮpj☢qᡠEᑮḄ\ᓽ{|}ᡠᨵpj☢qᑮḄ~⊤ᙠ.ூ௃:pj☢qnolᨵ3ᑡjk\ᑖᨵ:222᝞.ᦑ⌱B.⚪ὃ[Ḅ27pᱥlḄj☢qᑮḄẠ⚪.2.ᑡjḄ7stA.2°=0B.a+a=a2C.>/9=±3D.
a32=a6ூjᫀ௃Dூ௃:Aஹ᪷ᢣᦪ£Ḅ}¤22஺=1,ᦑ⌱⚗┯¨;Bஹ᪷ᔠ©hª⚗Ḅ«ᑣ2a+a=2a,ᦑ⌱⚗┯¨VCஹ᪷k᪷Ḅ}¤2ஹo=3,ᦑ⌱⚗┯¨VDஹ᪷®Ḅ¯k°Es஻t2=*,ᦑ⌱⚗j.ᦑ⌱:D.%36⚓/(56⚓

363.ᑡ\².\ᨵstA.1B.2C.3D.4ூjᫀ௃Bூ௃:\7².\V%µ\Oᨵ7².\V%[\7².\V%>\Oᨵ7².\.ᦑᐳ2².\.ᦑ⌱B.4.·¸ᖪº²ᕜ᝕½Ḅ¾¿ÀÁÂ᝞⊤ᡠÃ:⁐Æ⁐Ç⁐È⁐É⁐Ê⁐ᦪËsÌt10018022080520ᳮÎÏᕜÀ᝕½]ÐÀÑÊ⁐Ḅ{ᵨᩭÓ-?ḄÂ27stA.ᙳᦪB.ÕᦪC.ÖᦪD.k×ூjᫀ௃Cூ௃Ø⚪᪆:ᙠÎÏᕜÀ᝕½]ÐÀÑÊ⁐Ḅ⌕ὃ⇋Ḅ7ᔜ⁐᝕½ḄḄᦪË,ÜÊ⁐ᕜË.ᵫÖᦪ7ᦪJÝᦪÞÐḄᦪᦑὃ⇋Ḅ7ᔜ⁐᝕½ḄᦪËḄÖᦪ.ᦑ⌱C.5.᝞ᡠÃ:ᦪAᡠ⊤ÃḄᦪa,ᑣaḄM7stA.75+1B.V5-1C.-V5+1D.-75-1ூjᫀ௃B%37⚓/(56⚓

37ூ௃:ᵫãäÏᳮE:Vl2+22=75>.••ᦪAᡠ⊤ÃḄᦪ7V5-1.a-yfs—1ᦑ⌱B.6.᝞Á>æ\ABCDAE1BC,AF1DC,AB:AD=2:3,ZBAD=2ZABC,ᑣCF:FDḄçès)B.1:3C.2:3D.3:4ூjᫀ௃Bூ௃Ø⚪᪆::AD஻BC,.•.ZBAD+ZABC=180°,éNBAD=2NABC,.•.ZBAD=120°,ZABC=60°.᪷Á>æ\Ḅ²gêE:ZD=ZABC=60°,ᙠR3AFD᪷30஺ᡠ²Ḅæ7ëæḄìE:DF*AD,21éAB:AD=2:3,ᑣCD=-AD,CF=CD-DF=-AD,36u11ᦑCF:FD=-:=l:3.T62ᦑ⌱B.7.íhîï6Ððñòóôõö÷ᜋ]ðḄ]┐úᑖ┐Ḅᜳ7120஺öóeôõüý76Ððþ]┐úᑖ┐Ḅᜳý7120஺ÿ
ᜧᵨA.40ᑖB.42ᑖC.44ᑖD,46ᑖூᫀ௃Cூ௃⚪᪆Ḅ6!xᑖ,#.6x-0.5x=180-120,$xRl#%&'(Ḅ6!yᑖ&)38⚓/,56⚓

38/.6y-0.5y=180+120,$-55,••/
ᜧᵨ55-11=44ᑖ.ᦑ⌱C.8.᝞4&ᙠ67ABCD8&9:;AC.BD<=>!0,EஹFᑖ?AOஹAD8!,@AB=6,3c=8,AIja/ET7ḄᕜCD()A.6B.8C.9D.10ூᫀ௃Cூ௃⚪ᑖ᪆ᵫGHIᳮ$&AC7AB?+BC2=10cm,:LM7ABCD67&/.OA=OD=yAC=yxio=5cm,:!EஹFᑖ?AOஹADḄ8!&i5EF=YOD=—cm,22AF=gx8=4cm,i5AE=vOA=—cm,22OAEFḄᕜC=Q+4+*=9cm.22ᦑ⌱C.ὃ!1.67ḄឋT#2.U:78V;Iᳮ.9.WXᔠᵯ[8&ᵯ\Ḅᵯ]DI^&ᵯ_I(A)`ᵯaR(Q)ᡂcde.4⊤gḄhᵯ[8ᵯ_I`ᵯaRijᦪᐵmḄ4n&ᑣᵨᵯaR⊤gᵯ_IḄjᦪ᪆pDூ௃)39⚓/,56⚓

39B-I=iT6D.C.1rsRRூᫀ௃Ckூ௃1=s&vw!3,2z{|}jᦪ᪆p&&k=3x2=6.**•I——•ᦑ⌱cRR10.᝞4&Wᔆᨵ7D:7ḄM:ᧇ&D⁚\&⌕ᢥ48ᡠgḄ|M:ᧇ67▢ᑖᱏᜓᵨ&£Ḅ67☢¥&67¦MCxஹy¨ᑖ?D)C.x=12,y=15D.x=15,y=12ூᫀ௃Dூ௃᝞4ᡠg&©!஺஺£_LOC>!£)40⚓/,56⚓

40,:NH஻DE,4CNHS£\CDE,.CHCE=NHDE,•.*CH=24-yCE=24-8,DE=OA=20,NH=x,f.24—yx5ZA•*-------r—,$x=s'(24—y)924-8204,•67☢¥S=xy=-—(y-12)2+180,4•£-12&Sᨵ^&/x=15.ᦑ⌱D.x2_111.@ᑖpsḄ^D0,ᑣxḄ^D.X+1A.0B.1C.-1D.±lூᫀ௃Bூᑖ᪆௃᪷½ᑖp^D0Ḅᩩ¿&ᑖÀD0ᑖÁÂᨵD஺ᑡpÄÅÆÇᓽÉ$.x-1ூ௃•,ᑖpḄ^DÊ&X+1.x2-1=0•**&X+1H0$x=\,ᦑ⌱B.Í⚪ὃÎᑖp^D0Ḅᩩ¿&ÏÐᑖp^D0Ḅᩩ¿ᑖÀD0ᑖÁÂᨵD0⚪ḄᐵÑ.12.ÒÐAABCḄU}ᑁ:DA,B,CÔa=A+B,p=C+A,×C+B,ᑣa,p,Ø8&┦:Ḅ}ᦪÚDA.1B.2C.3D.0)41⚓/,56⚓

41ூᫀ௃Aூ௃⚪᪆a,0,ØḄÛᦪÂᨵÜI&.••a,B&ØÉÜÝ┦:ÞÉÜᨵ¦}┦:ᡈs}┦:&জᎷaஹâØU}:Ý┦:&ᓽa<90஺&p<90°,y<90°,a=A+B,P=C+A,×C+B,.♦.A+B<90°,B+C<90°,C+A<90°..2(A+B+C)<270°,.♦.A+B+C<135°`A+B+C=180஺ãä.&aஹ°ஹØÂᨵÉÜÝ┦:.ঝᎷaஹ|3ஹØ8ᨵ¦}┦:&Âᨵçaஹp┦:&vwᨵA+B<90஺&C+AV90஺&AA+(A+B+C)<180°,/.A+180°<180°,A<0஺ÂᨵÉÜ&.aஹâØ8Úèᨵs}┦:&᝞A=20஺&B=30°,C=130°,a=50°,ᦑ⌱A.*13.ÒÐjᦪ-kx+bḄ4n᝞4ᡠg&£0-2B.y<-2C.-20ூᫀ௃Cூ௃⚪᪆᪷½4nëᦪ½ÉÐ&£0

42ூᑖ᪆௃ᐜ᪷ᙳᨴḄ᳛ᔆ.!ᨴ"#$Ḅ%&ᦪ()*᪷“,-.ᐳ#$%&18234”ᑡ78ᓽ:.ூ;<௃<=ᵫ⚪@A=ᔆஹ!ᨴ"#$Ḅ%&ᦪ(ᑖCD50(1+x)34ஹ50(l+x)234)ᑣ50+50(1+X)+50(1+X)2=182,ᦑ⌱=B.N⚪ὃPQRᐗ,T78ḄU▭Wᵨ)<⚪ḄᐵZᔆஹ!ᨴ"#$Ḅ%&ᦪ(.15.᝞\,7^_`a)47^Ḅ⚔cd`c)4e7^ḄfD1,ᑣg`cD⚔cḄhi^a)hfj᦮ᦪḄhi^Ḅ4ᦪ()Ir_1τRlτ__fτ__IτττττττττττA.4B.8C.16D.20ூᫀ௃Cூ;<௃<=ᑭᵨtuvᳮ)xDᨵᳮᦪḄz{)|hi^ᓽ:.=32+42=52,hfᑖCD:3ஹ4ஹ5,Rᐳ4)44)...hfj᦮ᦪḄhi^Ḅ4ᦪ4x4=164.ᦑ⌱C.16.᝞\),Tᦪy=ax2+bx+cḄ\xAஹBc)ycC,OB=OC,ᑡ=জb>lbW2ঝb2-4ac<4a2ঞa>gᐸaḄ4ᦪD()ூᫀ௃Dூ;<௃@VOB=OC,AC(0,c),B(-c,0)B(-c,0)ᐭy=ax2+bx+cA0=ac2-bc+c,ᓽ0=ac2+c(1-b),43⚓/56⚓

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