2022-2023学年北京市东城区中考数学专项提升仿真模拟卷（4月5月）含解析

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2022-2023
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92022-2023
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89::ᙠ=☢ᑁᨵ”AᐸCDAEF᪀ᡂIῪDKLMᐹᨵO᪵ឋRḄ஻A᪀ᡂḄATUV᰿
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24$.yÏXÙÚḄÓᦪ⊤ÛÜAy=-2X+180$(2)ᵫ⚪_`(x-50)(-2x+180)=600,᦮ᳮ`x2-140x+4800=0.§`X]=60,x=80,2bAݺ¿ᜩÞ`600ᐗḄᑭàᑣ.ᜩḄᓫ@×âA60ᐗ/ᓟÇᡈ80ᐗ/ᓟÇ$(3)çãᜩḄᑭàAwᐗᑣw=(x-50)(-2x+180)=-2(X-70)2+8002<0,.•♦ãx=70äwm=800.bãᓫ@âA70ᐗ/ᓟÇäå®æãᜩḄᑭàᑭà800ᐗ.24.(2020•õö÷øh•ὃk⚪lᔁ)¿ù<ᖪú¬û@A40ᐗ/ᓟÇḄüù<-ý@A50ᐗ/ᓟÇᑣᨴý500ᓟÇ$-ý@ᙠ50ᐗ/ᓟÇḄÿẠ
1ᐗᑣᨴ10ᓟ.(1)55ᐗ/ᓟᨴᓟ(2)ᨴᑭ8750ᐗᓟᐗ(3)ᓟᐗ$%Ḅᨴᑭপ55ᐗ/ᓟᨴ500—10x(55—50)=500—50=450ᓟ.(2)-ᓟxᐗᵫ⚪0%(x-40)[500-10(x-50)]=8750,§P-10x2+l400x-40000=8750,925⚓/;66⚓

25᦮ᳮ%X2—140X=-4875,?@AB(x—70)2=4900—4875,D%᳝=65,x=75.2•ᨴᑭᐗ8750ᓟ65ᐗᡈ75ᐗ(3)-ᨴᑭVᐗᓟxᐗᵫ⚪0%y=(x_40)[500_10(x_50)],ᓽy=-1Ox?+1400N_40000(40

26OA=J32+42=5,VOA=OB,...0B=5,.,.pBḄᙶ᪗(0,-5),B(0.-5),A(4,3)ᐭy=kx+b%b=-5‘44+6=3[k=2D%\;b=-5.•.y=2x-5.(2)■.•pMᙠaᦪy=2x-5
|-pMḄᙶ᪗(x,2x-5)»VMB=MC,7X2+(2X-5+5)2=7X2+(2X-5-5)2D%x=2.5,.,.pMḄᙶ᪗(2.5,0).@VB(0,-5)ஹC(0,5),ABC=10,BCḄZᚖy=0,y=02x-5=0,ᓽx=2.5,.♦.pMḄᙶ᪗(2.5,0).26.(2020•ᵞᾓᐲY•Zὃ\⚪]ᔁ)᝞`ABQOḄC0O
pDBA¡¢
p/ACD=/B.(1)w£DCOOḄᑗ|3(2)¥DFᑖgnAC,BCopE,Fv/CEF=45°QOḄt5,sinB=-,wCFḄ¢.927⚓/;66⚓

27c(1)᝞`¬oc,•••AB00Ḅ/./ACB=/BCO+/OCA=90°vOB=OC-ZB=/BCO,NACD=NB,/ACD=/BCO.♦./ACD+/OCA=90஺ᓽ/OCD=9(TDC00Ḅᑗ|4AC(2)RSACBZAB=10,sinB=-=—,5ABr.AC=6,BC=8,•••/ACD=/B,NADC=/CDB,.-.ACADSBCDAACAD63,BC-CD-8-4(-AD=3x,CD=4x,RtAOCDZOC?+CD2=OD2928⚓/;66⚓

2852+(4x)2=(5+3x)2,x=0(¯)ᡈ“307•.•/CEF=45°/ACB=90°CE=CF,-CF=a,NCEF=NACD+/CDENCFE=/B+/BDF,NCDE=NBDF•••/ACD=/B,²CEDSABFDCEBFCD-BD'a_8-a27.2020•´µZὃ\⚪]ᔁ¶᝞`}~ᙠ·☢¹ᙶ᪗ºX஺¶Z»ᱥy=-x2+bx+cc>0¶Ḅ⚔p஺hyrḄnpC¾p஺ḄC4h»ᱥno¿p4p/ᙠÀÁrÂöp8ᙠ/CḄ¡¢
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29*1পজ^.ZC஻xrp4(-2,1),|.C(0,1),Ûp4(-2,1),C(0,1)ᐭ»ᱥD᪆{Z%:-4-2b+c=lc=1b=-2c-\'.•.»ᱥḄD᪆{Ý=-X2-2x+l|ঝ᝞`1,¾p஺ÞZ)EJ_xroE,JAB)*ஹF,,.EF=OC=c,:p஺Ç»ᱥḄ⚔pᙶ᪗,,bb2\:.D»cH----¶»24930⚓/;66⚓

30DF=DE-EF=c-\-------c=-44:ÌÍÎ408஺Ç·ÏÌÍÎ,.AD=OB,AD//OB,,.ZDAF=ZOBC,"ZAFD=ZBCO=90°,,.AAFDQXBCOC4AS
,,.DF=OC,.b2•.----Cr4ᓽb2—4c/È2¶᝞`2,`2"b=-2..•.»ᱥḄD᪆{N=-x2-2x+c,.•.⚔pᙶ᪗஺(-1.c+1),Ꮇ-ÓᙠÔ᪵ḄpAÌÍÎA0BDÇ·ÏÌÍÎ,-pA(m,-m2-2m+c)(w<0),¾p஺Þ஺E_LxropE,J4B)F,,.NAFD=NEFC=NBCO,|ÌÍÎ405஺Ç·ÏÌÍÎ,.AD=BO,AD//OB,931⚓/;66⚓

31•/DAF=/OBC,,./\AFD^/\BCO(44S),,.AF=BC>DF=OC,¾pZÞroM,n஺EoMJ.DE//CO,,.4ANFs/\AMC,•_A__N____F__N____A__F__B__C__._3^AM~CM~7c~AC~5fAM=-ni,AN=AM-NM=-m-1,.-m-13••=—,-tn55m=—,2pAḄãᙶ᪗-(>-2x()+c=cVc,224•:AM"xr•päḄᙶ᪗(0,c--),7V(-1,c--),44/5ஹ5..CM=c-(c--)=—,44åp஺Ḅᙶ᪗(-1,c+1),59,.DN=(c+1)-(c——)=,44•:DF=OC=c,9,.FN=DN-DF=--c,4.FN_3CM~5f9——ei-4_3=åå4.3•»c=,2932⚓/;66⚓

325_1c----=2,4.•.p/ãᙶ᪗L,451ஹz♦—-,),24|•ÓᙠÔ᪵Ḅp4ÌÍÎæ03஺Ç·ÏÌÍÎ.28.(2020•çèéêY•Zὃ\⚪]ᔁ)ᙠëÎZ3C஺ZpEÇì8C
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33AAABE^ABCF(AAS),.BE=CF,AE=BF,VAFCH4Ὺ6787(.FC=FH=BE,FH±FC,9CD_LBC,.FH஻BC,'(BEHF;<'(.BF஻EH=BF=EH,.AE=EH,AE1EH,ᦑ?4ᚖ6ঝᡂᳮᵫBCDEᙠBCḄEFGHᳮIJCZ\ABE'Z\BCF(AAS),.BE=CF,AE=BF,•••KFCH4Ὺ6787(.FC=FH=BE,FH±FC,9CD_LBC,.FH஻BC,'(BEHF;<'(.BF஻EH=BF=EH,.AE=EH,AE±EH(2)VZEGF=ZBCD=90°,AC,EஹGஹF'ᐳᙊ•.•'(BCHFB;<'(MBHO,AMPBEFOAMB'(BCHF᜜RᙊᙊSᑣGMḄᨬ!"ᙊMUVḄᨬ!"CAB=3,BC=2,WBE=x,ᑣCE=2-x,034⚓/366⚓

34HX1
IJCZCBF=ZBAE,XVZABE=ZBCF=90°.,.KABE^ABCF,ABBE3xHn••---=----ᓽ[=,BCCF2CF2xCF=—3/.EF=VC^2+CF2ᚆ]4x+4,913Wy=—ᔆ[4x+4,9D_=ᵯGyaᨬ!"3,1313AEFḄᨬ!"bc13ᦑGMḄᨬ!"dc.13*3035⚓/366⚓

352022-2023
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3711.X2020•«Oὃr⚪sᔁl᝞ᡠḄÜÝᵫF1yᓫF§Ḅ!)*(}ᡂ4ஹBஹCஹᙠ67ᙶ᪗¸OḄᙶ᪗ᑖáX3,6l,X-3,3l,X7,-2l,ᑣ“8CᑁSḄᙶ᪗12.X2020•ævOὃr⚪sᔁl᝞B[yçèéêḄëìíîᐭxḄ"625,ᑣ02020£îòḄó.13.X2020•´µ•Oὃr⚪sᔁlôõ⌴÷øᙠᵬᙢûᙢüýᐳWᨵ29yÿ
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