2022-2023学年北京市朝阳区中考数学专项突破仿真模拟卷（二模三模）含解析

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2022-2023
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72022-2023
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23ூᑖ᪆௃21D᪷4ᑭð=ãä-;ä!7ᑭðÞᵨùWZᦪÕ!7ᨴ├5L22D᪷4ᨴᑭð="çḄᑭðXᨴ├5ᑡ7úᦪᐵZ8᪷4ûÀúᦪḄឋý!7ᑭð.ூ+,௃,:21DজêÞßà"çḄᑭðH2x-60Dᐗ;ᦑ2x-60DLঝ0ᨴ├5ÖxḄᐵZ8]W=kx+b,100ÿ+6=200ᵫ⚪\B,110+6=180k=-2,b=400,.W=-2x+400ᦑ(-2x+400)(2)ᵫ⚪y=(x-60)(-2x+400)=-2x1+520x-24000=-2(x-130)2+9800,130ᐗᨴḄᑭ",ᑭ"#9800ᐗ.26.᝞&ᙠ00()*4B_L.CD12E,45/C,BC,27#89:;Ḅ<2=NFCA=NB.>1?@ABC7#஺஺Ḅᑗ:>2?EZE=4,tan//CO=y,@ABMFCḄ9.ூPQRᫀ௃>1?U᪆>2?ফAB=20,CF=—3ூX௃ᑖ᪆B>1?450C,᪷[ᙊᕜ^_ᳮAa0CLCFᓽc>2?dePᑗfMᙊᕜ^_ᳮghNFCA=NB@jCEஹBEḄ9ᓽcᑮAB9ᯠn᪷[)*Mo*Ḅᐵq@j0EḄ9r᪷[s^tuvwḄsx^yvz>ᡈ|}_ᳮ?Aa~24⚓/61⚓

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2798:Ḅ☢HᨵJ@ḄKLᑭᵨᑖPQRSTᦪ:STVWXSTY⚪Zᐵ\.28.᝞^1,_`aᦪᡝ2*2+6*+஺Ḅ^dAxeᑖfghAஹBj'Ayegh'C.ktanZABC=3.Jᐗ_`WXax2+bx+c=OḄj᪷n-8ஹ2.(I)o_`aᦪḄY᪆qr(2)7s1t'AuABnvwxyz{┐}~ᑮACxy1AsBCgh'D,PZADḄ'.জo'PḄ21Xrঝ᝞^2,'DDEᚖ7xeh'E,DF_LACᡠᙠ7sh'F,PEஹPF,ᙠ121XNEPFḄᜧZᔲᦋᳮᵫr24-ூᑖ᪆௃(1)ᵫy=ax?+bx+cAxeᑖfghAஹBj'Jᐗ_`WXax?+bx+c=OḄj᪷nJ8ஹ2,'Aஹ'BḄᙶ᪗ᓽᑮ0BḄ¢£ᵫtan/ABC=3,ᑮ'C(0,-6),¤AஹBஹCḄᙶ᪗¥ᐭ_`aᦪᓽᑮ_`aᦪY᪆qr(2)জ᝞^6.1,§1ᙠABxy{PᓽnABḄ'H,§I21ᑮACxy{PᓽnACḄ'K,ᦑPḄ21Xn4ABCḄxsHK,ᙠRtZXBOCᵫ©ª@ᳮᑮBCḄ¢«ᵫ98:xs@ᳮᑮHKḄ¢ᓽPḄ21XrঝNEPFḄᜧ¬ᨵᦋ.ᵫhPnRtZ\AED®¯ADḄ'ᦑPE=)AD=PA,°±ZPAE=ZPEA=yZEPD,²ᳮᨵNPAF=/PFA=NDPF,ᓽᑮNEPF=2NEAF,ᦑNEPFB28⚓/E61⚓

28Ḅᜧ¬ᨵᦋr(3)³4PEFḄᕜ¢nC,µIQP£F=PE+PF+EF=AD+EF,ᙠ5Ὺ98:PEFPPG±EF,,i¶ᓝOC3,EG3h'G,yᑮNEPG=}/EPF=NBAC,ᵫhtanNBAC=—=Jᦑtan/EPG=—=J,2AO4PG436338¸ljEG=^PE,EF=|PE=-AD,°±ᨵC“=AD+EF=(l+1)AD=-AD,£§AD_LBC{,ADᨬ*{QPEFᨬᵫSMsc=30ᑮAD=3jlU°±ᑮº□ᨬ¼.ூ½Y௃Y)(1)•.•aᦪஹ=஺/+¿+஺Ḅ^dAxeᑖfghAஹBj'Jᐗ_`WXax?+bx+c=0Ḅj᪷nJ8ஹ2,AA(-8,0)ஹB(2,0),ᓽOB=2,£•.•tan/ABC=3,AOC=6,ᓽC(0,-6),¤A(-8,0)ஹB(2,0)¥ᐭy=஽/+᱐J6,64a-Sb-6-04a+26-6=0.3a=—QY)\b=—439_`aᦪY᪆qn)y=-x2+—x-6!84(2)জ᝞^6.1,§1ᙠABxy{PᓽnABḄ'H,§121ᑮACxy{PᓽnACḄ'K,APḄ21Xn4ABCḄxsHK,.,.HK=yBC,ᙠRtABOCOB=2,OC=6,r.BC=2Ã..-.HK=ViOᓽPḄ21XnᔊrB29⚓/E61⚓

29ঝNEPFḄᜧ¬ᨵᦋ.ᳮᵫ᝞Å)rDE_LAB,.•.ᙠRtÆAED,Pn®¯ADḄ'PE=gAD=PA,ZPAE=ZPEA=yZEPD,²ᳮ)ZPAF=ZPFA=yZDPF,AZEPF=ZEPD+ZFPD=2(NPAE+NPAF),ᓽNEPF=2NEAF,£)NEAFᜧ¬ᨵNEPFḄᜧ¬ᨵᦋr(3)³4PEFḄᕜ¢nC,ᑣQPEF=PE+PF+EF,VPE=yAD,PF=yAD,AC=AD+EF,aP£Fᙠ5Ὺ98:PEFPPGJ_EFh'G,/.ZEPG=yZEPF=ZBAC,OC3,EG3.363VtanZBAC=——=J.".tanZEPG=——=J.'.EG=-PE,EF=-PE=-AD,AO4PG455538/.C=AD+EF=(l+-)AD=wAD,£§ADJ_BC{,ADᨬ*{C.PEFᨬ)SMBC=30,aP£F824__AyBCAD=30,AD=3ᨬ¼n)-AD=yV10.*⚪,⌕ὃ/0_`aᦪÈᔠuÊË@ÌᦪÍo_`aᦪY᪆qV7898:sḄឋ<5ÎÏᵨAD⊤ÑÒ4PEFḄᕜ¢ZY⚪ᐵ\.B30⚓/E61⚓

302022-2023
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47Dx=13,GHVx=13WB(x+2)XB2x7#),ᦑx=13Z$'(Ḅ(2)জD:x>-1,ঝDx<6>ᦑ/ᨵ12ḄLA-1

48A./ᨵB.C.ᨵWD.E.UZ⚪Ḅ{|ᙠJK⌱⚗_⌱,⚗.☢Z᪷{|u¢⚪Ḅᔁ£¤¥ᑴḄ<§/ᨵ¨᦮Ḅ©\.ᔜ⌱⚗⌱«ᦪḄᩩj©\ᔜ⌱⚗⌱«ᦪᑖḄᡧj©\¯1°¢qᐳᨵ±wxyzḄ{|²³vᔁ¯2°´µJ§ᩩj©\⊡ᐙ¨᦮¯3°ᙠᡧj©\_B“UZ”Ḅᙊ»iA.¯ᑮ½°ூᫀ௃¯1°3200¯2°ᫀf᪆¯3°151°ூ௃⚪ᑖ᪆¯1°ᵨ“/ᨵ'’Ḅ«ᦪ◀?“/ᨵ”«ᦪᡠᓰḄÆᑖÇᓽDU«ᦪ¯2°ᵨU«ᦪÈÉ“/ᨵ"ஹ"”ஹ“”ஹ“UZ”Ḅ«ᦪᓽD“ᨵW”Ḅ«ᦪBᙠᩩj©\bËÌᓽ¯3°ᵨ“UZ”Ḅ«ᦪ◀?U«ᦪᓽD"UZ”ᡠᓰḄÆᑖÇ.⚪᪆¯1°96+3%=3200¯«°¯2°“ᨵW”Ḅ«ᦪA3200-96-320-736-1344=704¯«°B\1344f¯3°x=42%.3200ᔜ⌱⚗⌱«ᦪḄᩩj©\R49⚓/U61⚓

49ὃ`ᩩj©\ᡧj©\.23.¯1°ᵬஹÔஹÕஹÖ׫ØÙᳫÛÜᵫᵬÝᳫÙÞÔஹÕஹÖ_Ḅp,«BRxßBàáᵫᢝᳫὅÝᳫFÙÞᐸäh«_Ḅp,«.CRxÙᳫåᳫæᑮᵬçḄᭆ᳛.¯´ᵨ“Ë᪛ë\”Ḅ'ÞÌᑖ᪆ì(°¯2°᝞íᵬîï᜜“¯«>2°K«Ø¯1°_ó᪵ḄÛÜBôõBRhÙᳫåᳫæᑮᵬçḄᭆ᳛Z¯´ö÷ᑏÌùí°.1஻,1ூᫀ௃¯1°-¯2°—3n2ூᑖ᪆௃¯1°Ë᪛ë\CÌRxÙᳫåᡠᨵùíBFûÌRxÙᳫåᳫæᑮᵬçḄùí,ᓽCDRxÙᳫåᳫæᑮᵬçḄᭆ᳛¯2°ᵫ⚪Qᓽ^RhÙᳫᐳᨵ/ýBᐸ_஻2,"ýÙÞᵬ.Fᵫᭆ᳛Mᓽ.ூ௃¯1°Ë᪛ë\᝞\ᡠþᵬXIXwxyz{/|\/\/|\wxᵬz{ᵬy{ᵬyzᵫ\^ᐳᨵ9ý1ḄùíBᐸ_RxÙᳫåᳫæᑮᵬçḄùíᨵ3ýB31,.P¯R2Ùᳫåᳫæᑮᵬç°=-=-93¯2°᪷⚪Q^BᵬÙÞ◀ᵬ᜜Ḅï᜜ÿ
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ᐳᨵ஻3ᐸ஻2$஻ᵬ.ᦑᳫ'ᳫ(ᑮᵬ*+Ḅᭆ᳛!.N0nn50⚓/561⚓

508⚪ὃ;ᵨ᪛>?@Aᭆ᳛BCᭆ᳛=ᡠAFGᦪIᡠᨵFGᦪḄJ!K⚪ᐵM.24.᝞?0A=2,PQ/RᙊT1RUVW஺4I04ḄYZ[\]QC,`Q/W04Ḅᚖ[ᚖ[I஺/Ḅ$\QR8,cdBC(1)[h8cḄZj]k(2)lᙠ?ᢥoᑡ⌕A⌲$stu(vw⚪0জPQRᙊTP[hḄZRUVWyIz[{\]Q஺|[h஺஺ḄZj]ᢣkঝc஺஻ᙠ஺஺WQ|opḄZj]lᑏW@uᳮᵫ.3ூvᫀ௃(1)k(2)জ4BC!ঝvᫀK᪆.ூᑖ᪆௃(1)ᵫᙊḄUVRI,/8=/C=l,ᳮᓽk(2)জᳮAḄZQ஺Ḅ¡᪷£W?Ḅ¤¥¦ᡂ?¨ᓽkঝ᪷£[hḄjᑖQḄW@OA=2AC,ᓽ.ூ©w1ªK௃K0ᙠRtAB/CAB=AC=\,ZBAC=90°,-,-BC=yjAB2+AC2=V2.ᦑvᫀR.ூ©w2ªK௃K0জᙠRtAO/஺0A=2,0D=,ZOAD=90°,:AD=y/0D2-OA2=V2=BC,/.PQARᙊTP[hBCḄZRUVWyIz[BA\]QD,|[hODḄZj]T.°±W?¨᝞?Iᡠ².51⚓/561⚓

51|1ᦑvᫀR©BC.[72ঝ:0D=U,OP==^—,OC=OA+AC=3,OA=2,3•OA_OP_2''7C~OD~3'ᦑt@᝞o0cdCD,`QXt4஻CO\஺஺]QP,PQᓽ!ᡠ⌕ḄQ.°±W?¨᝞?2ᡠ².±⚪ὃ;³ᙊḄ´8µᳮ¶[ᑖ[hᡂJ·´8t?¸@BCᳮ¹¶[ᑖ[hᡂJ·!K⚪ḄᐵM.25.º᪥¼ᑜ¾¿$ᢇÁᳫÂÃᳫÄž¿2ÁᳫÂ1Ãᳫᐳ◤320ᐗ¾¿3ÁᳫÂ2Ãᳫᐳ◤540ᐗ.1AÈÁᳫÂÈÃᳫḄÉÊk2᝞ËÌ᪥¼ᑜ¾¿ÍÎᳫᐳ505ÏᵨÐᨵÑ`5500ᐗÒÓᨬÕ¾¿ÕÖÃᳫ×ூvᫀ௃1ÈÁᳫÂḄÉÊR10ᐗÈÃᳫḄÉÊR120ᐗk2ᨬÕ¾¿25.52⚓/561⚓

52ூᑖ᪆௃1ØÈÁᳫÂÈÃᳫḄÉÊᑖÙRxᐗyᐗ᪷£⚪Üᑡ¸ÝÞA¸ÝÞḄKᓽk2ØÁᳫ¾¿஻ᑣÃᳫ¾¿50-a᪷£⚪ÜᑡÐᨵjâAÐᨵjâḄKãᓽᨬÕ¾¿ḄÃᳫ.ூªK௃K01ØÈÁᳫÂÈÃᳫḄÉÊᑖÙRxᐗfᐗ᪷£⚪Ü02x+y=3203x+2y=540'v0ÈÁᳫÂḄÉÊR100ᐗÈÃᳫḄÉÊR120ᐗk2ØÃᳫ¾¿஺ᑣÁᳫ¾¿50-a᪷£⚪Ü0120a+10050-aW5500,᦮ᳮ020aW500,K:aW25.v0ᨬÕ¾¿25Ãᳫ.8⚪ὃ;³ᐗ¸ÝÞḄéᵨP¹$ᐗÐᨵjâÞḄéᵨK⚪ḄᐵM!01êjëᐵì,ᑡᐗ¸ÝÞk2᪷£ᔜᦪëîïḄᐵìᑡ$ᐗÐᨵjâÞ.26.᝞?ð[x=-4Ixñ\]QE,$óôᔣḄöᱥ[`øQ\[hOE]QA,\ð[x=-4]QB,`Bù¶]xñḄð[Iöᱥ[\]QC,ð[OC\ð[AB]D,ùAD0BD=103.2ûaOBC!jῪý¨A±öᱥ[Ḅþᦪᐵìâ.53⚓/561⚓

53ூvᫀ௃(1)QAḄᙶ᪗
(2,0).(2)ᱥḄᦪᐵ
y=@x?+xᡈy=Ex2+JIx.422ூ௃ᑖ᪆(1)DDFJ_xF,ᵫᱥḄឋ!OF=AF,ᑣ2AF+AE=4জ,AFAD1ᵫDF஻BE,%ᑮ'ADFSA.ABE,᪷)*+,-./0ᡂ23%4=—=-,ᓽAEAB2AE=2AFঝ;জ<ঝὶ>?ᡂ@ᐗBC?;4AE=2,AF=1,DE%ᑮAḄᙶ᪗.(2)ᐜᵫᱥI(0,0),JᱥḄK
L=2*N+2),Q᪷)ᱥI(0,0)RA(-2,0),S4
Tx=-l,ᑣᵫBUᙶ᪗
-4%4CUᙶ᪗
2,BC=6.QᵫOB>OC,!V'OBCWXῪ,-.Z;ᑖ[\]^_`জVOB=BCZ;JB(ߟ4,y)ᑡ4BC;BCS4yiḄb;cBᙶ᪗dᐭy=ax(x+2),fᵨhiᦪjS4ᱥḄ᪆kঝVOC=BCZ;JC(2,y2),ᑡ4BC;BCS4y2Ḅb;cCᙶ᪗dᐭy=ax(x+2),fᵨhiᦪjS4ᱥḄ᪆.■mAD]_ᓽAE=2AFঝ."AEAB2জ<ঝὶ>;%AE=2,AF=1....AḄᙶ᪗
(—2,0).n54⚓/q61⚓

54(2)ᱥI(0,0)RA(-2,0),JᱥḄ᪆
y=ax(x+2),
Tx=-l.VB.C[ᐵTx=-l;BUᙶ᪗
4,Uᙶ᪗
2..,.BC=2-(-4)=6.;ᱥstᔣv;.".ZOAB>90°,OB>AB=OC....VAOBCWXῪ,-.Z;ᑖ[\]^_`জVOB=BCZ;JB(—4,w);ᑣ16+yx=36,%y=±2&(ybz{)..♦.B(-4,275).cB(-4,26)dᐭy=ax(x+2),%2j^=a(T)(-4+2),%a=YL4ᱥḄ᪆
y=@x(x+2);ᓽy=@x?+@x.4ஹ,42ঝVOC=BCZ;JC(2,yz),ᑣ4+L2?=36,%}=±40(ybz{).AC(2,472).cAC(2,4~)dᐭy=ax(x+2),%%4=2(2+2)a,%a=[....ᱥḄ᪆
y=2^x(X+2);ᓽL=*2+0*.vᡠ;'OBCWXῪ,-.;ᱥḄᦪᐵ
y=Y5x2+YSxᡈ42y=^-x2+V2x-227.᝞1,.ABCD;NA=60஺;PA4;2cm/sḄ0ABஹBCஹCDᒴfᑮD;QA

55(1)SQfḄ(2)S2FGḄᦪᐵk(3)Wᔲᙠ¢᪵Ḅt,¤PQc.ABCDḄ☢ា¦ᑖᡂ15Ḅ[§ᑖ¨ᙠ;S4¢᪵ḄtḄbk©ᨵᙠ;«¬ᳮᵫ.ூ¯°±ᫀ௃(1)ᵫ1(cm/s)(2)FGḄᦪ⊤´
S=-3j1t+276(6

56AQ0vḄÍh=AB-sin60°=6x=3^/3(cm);S=SAAPQ=kAQ-h=kAQx3jJ=Ý;%AQ=3(cm)....QḄf
3+3=1(cm/s).(2)ᵫ⚪¸;!⚪2FG⊤ºPᙠCDvfZḄ].;᝞2ᡠº,EQf¿Dᡠ◤Z
6+l=6s,Pf¿Cᡠ◤Z
12+2=6s,¿Dᡠ◤Z
18+2=9s.éᙠFGᑁ;Qf¿DÁf;PᙠCDvÂÃf;ZtḄÅbÇ
6/3)=-3V3t+27V3.AAPQk.FGḄᦪ⊤´
S=-3;7t+276(6

57VPᙠABvfZ;PQc.ABCDᑖᡂAAPQRÈ0.PBCDQ[§ᑖ;᝞3ᡠº,᪷)⚪¸;%1t2=L18jL%t=«s.26VPᙠBCvfZ;PQc.ᑖ
É.ABPQRÉ.PCDQ[§ᑖ;᝞4ᡠº,Z;ᨵSÉ.ABPQ=ùS.ABCD;ᓽ;(2t-6+6)x6xú=ûxl8ü;%t="s.2263vᡠ;ᙠt=J^sR1=1=ü5;¤PQc.ABCDḄ☢ា¦ᑖᡂ15Ḅ[§ᑖ.28.᝞;C
NAOBḄ0A0C=6,NOB0ḄPCNPᑖPQ஻OA0BQ,PM஻OB0AM.!58⚓/&61⚓

58(1)*NA0B=60°,0M=4,OQ=1,-./CN±OB.(2)2NᙠOB4567OMPQ89:ᢝ<7.জ>/-.....LḄAᔲCDEᓄG᝞IEᓄ-JᐸLANO᝞IPᨵERSTᳮᵫ.OMONS.ঝX<7OMPQḄ☢ZS”]NOCḄ☢ZS2,-ḄLAN.ூ_`aᫀ௃(1)de᪆O1gE1(2)জO©0<-^<-6»2mூᑖ᪆௃(1)PE,᧕.67OMP஺pq67.᪷stuvᦪ-xPEḄyz᪷stuvᦪ-xNPCEḄ{ᦪᓽ}x/CPM=90",PM//OB,ᓽ}.TCN1OB.(2)জX஺=x,ON=y,ᐜ.N0PS/\NOC,ᓽ}x=x,Vᐭ᦮ᳮOCONᓽ}x-----•ḄA.ঝE,N}xS=OA/7E,S2OMON,S.xPEPECM6-xSஹ=7OCNF,ᡠU=777F•z.]CPMs/xavo,ᡠ*=jᵨx⊤J,2S3NFNFCO6522S.xḄᐵ᪷s¡¢vᦪḄឋ¤ᓽ}xUḄLAN.ூ¥>1¦e௃.T/᝞§1,EJ_஺/E.|1VPQHOA,PMHOB,¡67஺஻஺pq67./.PM=OQ=\,ZPME=ZAOB=60°,!59⚓/&61⚓

59PE=PM-sin60°=—,ME=g,223CE=OC-OM~ME=-,2PEJ3¡tanZPCE=—=—,CE3/.NPCE=30",,.ZCPM=90",/PM!IOB,,.NCNO=NCPM=90°,ᓽCNLOB.ூ¥>2¦e௃e/জ---------!—ḄAPᨵCDEᓄ.ᳮᵫ᝞ª:OMONXON=y.■,67OMP஺<7**•0Q=QP=0M=%,NQ=y-x.PQ//OA,.ZNQP=/O.O,,/QNP=/ONC,,.VNQPsXNOC,.QP_NQ=,,OCON',.6y~6x=xy.«¬◀6xy,x‘’=xy6ᓽ—----------OMON6ঝ᝞§2,£,N,!60⚓/&61⚓

60B|2ᑣ5i=OMPE,S2=OOCNF,.“_xPE"S~3NF-2PM!IOB,,.ZPMC=ZO..ᓃPCM=2NC0,./\CPM^/\CNO.•_P_E___C_M____6_-__x"'NF~~CO~~6~x¯6-x_1X-32+y.—18V0