2022-2023学年北京区域联考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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17)*:ᐳᨵ9m"nḄo2qᑭᐵḄᨵ1rs,qᑭᐵḄᭆ᳛}93/“”⚪Ꮇ(ᣵ┯.⌱⚗C/,j᪛@A}AB/IV-ABCDABCDᐳᨵ8m"nḄo2ᦪᐸ+⚪ᐰ67Ḅo2ᦪ}1,ᡠ#qᑭᐵḄᭆ᳛=1,8"”⚪ᵫ2/"qᑭᐵḄᭆ᳛},9-11u,>,,89ᡠ#ᙠ⚪!ᵨ“”qᑭᐵḄᭆ᳛ᜧ.⚪ὃᑡ⊤ᡈ᪛@Aᭆ᳛ᑡ⊤"#ᨵ¡ᨵ⍡£ḄᑡUᡠᨵ"nḄo2〉ᔠ¦§¨ᡂḄI᪛@A〉ᵨ¦§ᡈ§#ª¨ᡂḄI_⚪«⌕®:¯°±²:ᨵ¯°±².ᵨᑮḄ´µ}ᭆ᳛=ᡠrsᦪprsᦪ¶w.21.᝞Aᙠ(ABC),஺:8c¹ªḄ,µ£:4஺Ḅ+µ4µ¼8CḄ½¾¿ÀCEḄÂÿ¦ÄÅ4Ä=8£>,ÆS8E1/Ç஺:8cḄ+µ2/᝞2/8=/C,ÈᑨÊ˹ÌḄÌ@ÍÇMḄoÎ.18⚓/57⚓

18ூXY6ᫀ௃1Ñ_᪆I2Ñ_᪆.ூᑖ᪆௃1/ᐜᵫAF//BC,ᑭᵨ½¾¿ḄឋÓ"ÇuE:4D+µ45AE=DE,ZAEF=ZDEC,ᑭᵨ44s"ÇÄÔÕDEC,45ᨵ/F=ZC,+AF=BD,Juᨵ
2˹Ì/Ä8஺:ÖÌ.ᵫ¦/Ľ¾m¦8஺᧕a˹̓Ä8஺:½¾Ë¹ÌØN3=NC,BD=CD,ᑭᵨmῪÚKÌÚ¿ᔠ,=ᳮ"ᓽ//஺8=90°,45"Ç˹Ì:ÖÌ.ூy_௃Ç1'CAF//BC,.NAFE=NDCE,:Ü஺Ḅ+µ.AE=DE,•:NAFE=NDCE,NAEF=NDEC,AE=DE,:.4AEF&/\DEC
AAS,.AF=DC,'AF=BD,.BD=CD,஺:BCḄ+µI
2˹Ì/Ä8஺:ÖÌ.ᳮᵫ'AB=AC,஺:8CḄ+µ.ADA.BC,.N4DB=9Q°,2AF=BD,4µ¼8cḄ½¾¿ÀCEḄÂÿ¦µÄᓽ/Ä஻8C,˹̓Ä8஺:½¾Ë¹Ì+•:N4DB=9Q஺,˹ÌÜÞ஺:ÖÌ.⚪ᑭᵨ½¾¿ḄឋÓஹᐰmÚKÌḄᑨ=vឋÓஹmßàᣚஹ½¾Ë¹ÌḄᑨ=ஹmῪÚKÌÚ¿ᔠ,=ᳮஹÖÌḄᑨ=m´.22.᝞AJᙢuªḄµAã,äᚁªḄᵯ¿ᩚPQ,èaᩚ⚔êµPḄëK:45஺ᔣíî6mᑮïBµèaᩚ⚔êµPvᩚðêµQḄëKᑖd:60஺v30஺.19⚓/57⚓

19p(1)NBPQḄLᦪI(2)ᵯ¿ᩚPQḄñL(o2ᑮ1m).ᜓᵨᦪôஹõ*1.7V2«1.4ூXY6ᫀ௃(1)30஺I(2)9m.ூᑖ᪆௃(1)ÂÃPQÀR¿AB¦µE,᪷ôRKÚKÌ┦Køùaᓽ"I(2)PE=xúᙠRK4APEvRK4BPE+᪷ôÚKûᦪᑭᵨx⊤eUAEvBE,᪷ôAB=AE-BEᓽ"ᑡUüýaxḄþkᙠRKaBQE+ᑭᵨÚKûᦪaQEḄÃᑣPQḄ
ᓽ.ூ௃
PQABE,(1)NBPQ=90°-60°=30°(2)PE=x.ᙠ4APEZA=45°,ᑣAE=PE=xZPBE=60°ZBPE=30°ᙠ4BPE,BE=_PE=—x,33VAB=AE-BE=6,(Ix-^-x=6,320⚓/!57⚓

20"x=9+36.ᑣBE=+36+3,.ᙠABEQQE=@BE=3+3J3+3,=+3+J3,.33.,.PQ=PE-QE=9+3V3-+3+6,=6+259+,.6ᵯᩚPQḄ9:9.;⚪ὃ>?@ḄAᵨ-CDE⚪.23.FGᐹᖪJKᑜMNFO⚶Qஹ⚶᫹NTᨵᐵWX᝞⊤:ᡂᝅa]+ᐗ/\N]+ᐗ/_,`a]+ᐗ/_,ᝅ,⚶a270Q500ᐗ⚶a-11070᫹ijᵨ600ᐗMNḄ⚶Qᦪlmᵨ160ᐗMNḄ⚶᫹ᦪlno.+1,⊤aḄp+2,qrᖪJMN⚶᫹Ḅᦪls⚶QᦪlḄ5tuv20_w⚶Qx⚶᫹Ḅ!ᦪlyᨵz{200_.rᖪJKᑜ|}~Ḅ⚶Qᡂᝅ+}_⚶Qx_⚶᫹ᡂ}ᝅ,ᐸ⚶Qஹ⚶᫹`a.E᪵N"ᑭᑭsvூ6ᫀ௃+1,⊤aḄp150+2,MN⚶Q30_ஹ⚶᫹170_"ᑭᑭs7950ᐗ.ூᑖ᪆௃+1,ᵨ600ᐗMNḄ⚶Qᦪlᵨ160ᐗMNḄ⚶᫹ᦪl}}᪷ᵨaa-110600ᐗMNḄ⚶Qᦪlmᵨ160ᐗMNḄ⚶᫹ᦪlnoᑡᑖᓽ+2,MN⚶Qx_ᑣMN⚶᫹+5x+20,_ᵫ⚶Qx⚶᫹Ḅ!ᦪlyᨵz{200_"ᐵxḄ}ᐗyᨵ¢£ᓽ"xḄ¤p¦ᑭ§ᐗ᪷¨!ᑭ=ᓫª+ᓫᝅ,ᑭXᦪlᓽ"yᐵxḄᦪᐵ®ᑭᵨᦪḄឋ°ᓽ±ᨬpE⚪.21⚓/!57⚓

21ூ௃(1)᪷⚪´"§00_1??aa-110"a=15O,¶·¸஺s\ᑖḄ.6⊤஺Ḅp150.(2)MN⚶Qx_ᑣMN⚶᫹(5x+20)_᪷⚪´"x+5x+20<200,"»30.ᑭyᐗ᪷⚪´":¼[500-150-4x(150-110)(270-150)x^x+[70-(150-110)]x(5x+204Iw-4x—x)=245x+600.24245>0,...x=30y¤pp7950.6MN⚶Q30_ஹ⚶᫹170_"ᑭᑭs7950ᐗ.;⚪ὃ>ÃᑖḄAᵨஹᦪḄឋ°¨}ᐗyᨵ¢ḄAᵨ⚪ḄᐵÄs(1)ÅÆ¢lᐵ®ᑡᑖ(2)ᑡ!ᑭyᐵ⚶QᦪlxḄᦪᐵ®ᑭᵨᦪḄឋ°±ᨬpE⚪.24.ÇÈᨵ}Éᑁ90°,wÌn¢ḄÍ@ÎÆÏ@.%1%2%3(1)জ᝞1,ÆÏ@4BCQNX8c=90°,AB=2,BC=3,ijঝ᝞2,ᙶ᪗®A(0,3),B(5,0),q᦮PÛ"Í@ᨴ஺8¼sÆÏ@ᑣ¼Ḅᙶ᪗s(᦮ᢣÞᙶ᪗ஹßᙶ᪗à᦮ᦪḄ)(2)᝞3,@/BCDEஹ¼ᑖâsÍãḄwCäLBE,æÍ@8CEFsÆÏ@22⚓/!57⚓

22(3)ijÆÏ@/8C£>ZABC=90a,NA4c=60°,AB=2,è4£>C¢Ὺ?@êᑏìÉÆÏ@Ḅ☢îs.ூ6ᫀ௃(1)জïঝ(5,3),(3,5)(2)æðñ᪆(3)V15+V3;ò+JJ;2ó.ூᑖ᪆௃(1)ᑭᵨÆÏ@ḄÇÈxôõÇᳮK÷ø᪷ÆÏ@Ḅᱯx᦮Ḅᱯᓽ;(2)ᐜᑭᵨ@Ḅឋ°ᑨý4ABEþZ\BCF,ᓽ(2)ᑖ?Oÿᑖᵨᑮ☢☢ᚖḄḄ☢.ூ௃প®VZABC=90,"BD=1AB?+BC?=74+9=V13ᦑ$ᫀ&''ঝA(0,3),B(5,0),.♦.AB=*+32=6,+,P(m,n),A(0,0),-OP=Vm24-n2=6,m,n.&᦮ᦪ••,P(3,5)ᡈ(5,3)-ᦑ$ᫀ&P(3,5)ᡈ(5,3)-(2)•ABCD45AB=BCZA=ZABC=90°,.\ZEAF+ZEBC=90o,VBE±CF,/.ZEBC+ZBCF=90°,AZEBF=ZBCF,AAABE^ABCF,ABE=CF,BCEF467-বA+59+52715VZABC=90°,ZBAC=60°,AB=2,;23⚓/>57⚓

23BC=26ACM,67ABCDHBD=AC=4,জKAC=ADL᝞N1,PDELAB,.,.AE=BEyAB=l.DE=^AD2-AE2=V16-1=V15••S+,-ABCD-S^ADE+S.-BCDE=yDExAE+y(BC+DE)XBE=yXVT5(2[+VT^)X1=5/15+73ঝKAC=CDL᝞N2,PDF±BC,BD=CD,.-.BF=CF=yBC=V3>•*-DF=y/cD2-CF2=V16-3=V135••S/,-ABCD=S^DCF+S.-ABFD=yFCxDF+y(AB+DF)xBF;24⚓/>57⚓

24=5x6x>yj-J+y(2+y/13)x6=a+5ঞKAD=CD,᝞N3,fgACH,hDijkfgBG,lBPBH_LDG,BD=CD=AC=4,AAG=yAC=2,VAB=2,AB=AG,ZBAC=60°,.\ZABG=60o,ZCBG=30°ᙠRtZ^BHGHBG=2,ZBGH=30°,ᙠRdBHMHBH=1,ZCBH=30°,.RM-2GHM-n335.4[••CM—------♦3ᙠRtZ\DHBHBH=1,BD=4,•,.DH=7T5DM=DH-MH=V15--3••Sᣮ7ABCD=SADCF+SAMCD=yBMxAB+yACxDM;25⚓/>57⚓

25=7xx2+|x4x(715--)2323=2715-ᦑ$ᫀ&JF+Ji-5+62V15.p⚪ὃstᔠ⚪v⌕ὃsxyz{|}zᳮ☢☢☢.25.᝞Nᙠ☢ᙶ᪗Hᱥy=-x2+bx+Cx,A(-1,0),B(-3,0),y,C,⚔,&D,ᱥḄxḄ,&E.(1)ᱥḄ᪆E,Ḅᙶ᪗-(2)+,P4ᱥ,/BPD=/BCA,,PḄᙶ᪗-(3),FḄᙶ᪗&(-2,4),,QᙠᱥḄQ&ᙊḄᙊlAஹB,,ூ5$ᫀ௃(1)(-2,0)-(2)(-2,2)ᡈ(-2,-2)-(3)(-2,®5)ᡈ(-2,2-2-VT^)2ூᑖ᪆௃(1)᪷ᱥy=-x2+bx+Cx,A(-1,0),B(-3,0),ᑭᵨzᦪᓽ¡¢ᱥḄ᪆£¤ᓽ¡¢,EḄᙶ᪗-(2)᪷,P4ᱥ,NBPD=NBCA,ᑖ¥¦ᦪḄ§¨©ªᓽ¡¢,PḄᙶ᪗(3)᪷⚪«¡§,Qᑮ,AḄ¬®'¡¢ᑮ,QᑮOFḄ¬ᯠ¤᪷┦¦ᦪᓽ¡¢,QḄᙶ᪗®'¡$p⚪.;26⚓/>57⚓

26ூ௃(1)•.•ᱥy=-x2+bx+cx,A(-1,0),B(-3,0),-l+6+c=0h--4,¢±93b+c=0c=-3ᱥḄ᪆&y=-x2-4x-3,Vy=-x2-4x-3=-(x+2)2+1,...,EḄᙶ᪗&(-2,0)-(2)᝞N1ᡠ³N1y=-x2-4x-3,,A(-I,0),B(-3,0),",C(0,-3),-.AB=(-1)-(-3)=2,AC=Vw>OC=3,BC=30,PAF_LBC,F,ABOCBCAFᑣnl—--=—T-2x3?>y[2AFBnᓽ-----=----------,22¢AF=V2>.,.BF=7^B2-JF2=V2>-.CF=2¶...tanNACB*·;,+,PiḄᙶ᪗&¹-2,p,;27⚓/>57⚓

27VZBPD=ZBCA,AtanZBPD=y,VBE=1,••---=,BE2¢PiE=2,.•.,PiḄᙶ᪗&¹-2,2À,Áᳮ¡¢,P2Ḅᙶ᪗&¹-2,-2À,ᓽ,PḄᙶ᪗&¹-2,2Àᡈ¹-2,-2À-¹3À+l,O¹0,0Àh,F¹-2,4ÀḄḄ᪆&Äkx,4=-2k,¢k=-2,...OFḄ᪆&y=-2x,KQiᙠxL+,QiḄᙶ᪗&¹-2,tÀ,᝞N2ᡠ³:Q&ᙊḄᙊlAஹB,ihOFᑗQIA=J˹-2À-¹-1À1+¹/-0Ì=#77,tan/F=Î=1=,1AsinZF=^,.Ð_LᓽJÑ+1=-,4-t75¢I+ᔍᡈt=-2ᔍ¹ÓÔÀ22Áᳮ¡¢KQ2ᙠxÕḄÖ×Lt=±Ø2.•.,QḄᙶ᪗&¹-2,&2+6.Àᡈ¹-2,"25À.22;28⚓/>57⚓

28p⚪ὃsx"Ú¦ᦪÛÜtᔠ⚪Ýzᦪஹ¦ᦪஹᑗḄឋßàtᔠឋáâ,ᨵzḄäå$p⚪Ḅᐵç4è⚪«Péᔠ〉ḄëìᑭᵨᦪḄíîh"Ú¦ᦪḄឋßஹ¦ᦪḄz{©ª$.26.᝞N1,7ABCDḄ⚔,A(6,0),B(0,8),AB=2BC,y=-*x+m(m213)ᙶ᪗M,N,ï7ABCDðy=-9x+m(m£13)ñᢚ¤¢ᑮ7ABCD.(1),CḄᙶ᪗htanZOMNḄó-(2)᝞N2,y=-gx+ml,C,ôBMBC4õ-(3)᝞N1,ᙠy=-gx+m(m213)öḄl÷H.জôBC஻y-;29⚓/>57⚓

29ூᑖ᪆௃(1)✌ᐜᑭᵨ|}zᳮ¢ABḄkᯠ¤ôèAAOBsaBEC,᪷ûḄüḄýà¢BEḄkᑣOEkᓽ¡¢®'¢CḄᙶ᪗-(2)ᑭᵨzᦪ¢mḄó¢BMḄk᪷àḄ4õᓽ¡ô¢-(3)জ᝞N3,fgBBÁᳮjkBChBC,I,ᑣIᙠMNlCPEQ஻MN,PéCBᐵEQḄþCG,ᑣEQÿ(2)
ḄMN,BC஻CGᓽঝBBF_LyF,BT=a,ᑣBF=2a,BM=BM=b,ᑣMF=2a-b,ᙠABTM
ᑭᵨᳮabḄMFBFᓽᑭᵨm⊤"#ᩭ4Cᙶ᪗ᓽ'ᐭ)y=-x+43mḄ*+,mḄ..ூ12௃(1)VA(6,0),B(0,8),.OA=6,OB=8,.,.AB=782+62=10>/.BC=yAB=5,᝞61,CCEJ_yE,.*.ZBOA=ZCEB=90°,7VZBAO+ZABO=ZEBC+ZABO=90°,/.ZBAO=ZEBC,.,.8AOB^ABEC,AOBOAB-----------........=25BEECBCBE=3,CEM,AOE=BE-OB=11,••CḄᙶ᪗(4,11),:x=0;,0M=m,:y=0;ON=2m,tanZOMN=2(2)᝞62,ᵫ⚪?@BC=B'C.•)y=-gx+mC(4,11),2+m,2@m=13,.,.BM=13-8=5,BM=BM=BC=BC=5,ABCBMBCDC@E30⚓/H57⚓

30(3)জ᝞63,JKBBLMᳮNOPBCBCQI,ᑣIᙠMNR,CEQ஻MN,#CBᐵEQḄTU)VCG,ᑣEQW(2)
ḄMN,᪷Y(2)CG஻BM,ZNBCE=NMCG,VMN//EQ,AZBCE=ZCIM,7NCIM=NMIB',AZBCG=ZCIB',ᓽBC஻y.ঝ᝞63,BBF_LyF,VBBZ±MN,.•.tanZMBBf=y,ABF=2BT,BF=a,ᑣBF=2a,BM=B'M=b,ᑣMF=2a-b,ᙠ8BFM
a2+(2a-b)2=b2,2@a@b=4@5,AMF@BT@BZM=3@4@5,•BM=BM=m-8,34AMF=-(m-8),B'F=-(m-8),554ஹ8\-24ᑣOF=OB+BF=8+2a=8+2BT=8+2x-(m-8)=-----------54ஹ4m+18A'F=B'F+A'B'=—(m-8)+10=-----------5554\+188m-24Aᙶ᪗„8\L24Sm-49CḄ]ᙶ᪗OF-BC=--------------5=------------4\L328/w-49ᑣCḄᙶ᪗:55E31⚓/H57⚓

31:Aᙠ)y=-x+43R;m=------,:C'ᙠ)y=-x+43R;m=L3_⚪ὃabcᦪefghCḄᑨeឋkḄlᔠnᵨopbqrᦪsஹDCḄᑨஹfghCḄᑨeឋkஹhcᦪtuvlᔠឋwxᨵLḄz{|,ᑭᵨm⊤"#BCᙶ᪗2}_⚪Ḅᐵ~.2022-2023ᓅὶὃὃᦪ⚗ẚ⚪ஹ⌱⌱3ᜧ⚪ᐳ106⚪786⚪3ᑖ7ᐳ30ᑖ.1.5Ḅ᎔ᦪ11A.-B.C.15D.5552.ᑡ|,ḄE32⚓/H57⚓

32Aa6-^a2=a3B.(-2)4=2C.-3x2*2x3=-6x6D.(it-3)0=13.☢ᓫḄ64.¡¢£R¤¥;¦§¢+⚣⚣©ªQ«¬ᦑ®᪵°±²³´Ḅªµ¶ᩭK·¸¹b2º¢»¼L½᡻sQ¿ᙠ¡¢£RÀÁÂÃb6ÄÅƺḄº¢»¼ÇÈ᝞:Ð123456º¢ᓟÍ/10095106100120100;ᑣ®6ɺº¢ḄÊᦪ
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337.NLÄíBCḄᑁ¹1080°,ᑣ®ÄíBCḄBᦪ¹8.᝞6஺0
ñCD_LñABE,NNB=60஺ᑣNA=B.45°C.60°D.90°9.õu|ØCABCD,Eᙠ)VBCRZBE=2CE,JKAE,öaABE÷AEøᢚBúᙠBiᜐüIJtanNDABiḄ12ᔆ35A.-B.-C.-D.—2341210.᝞ABCDḄAB=3cm,AD=4cm,E"A#$%&'AD()*CE+,-஺O,F஺O1&'BDḄ2ᐳ45EF,6E-EG_LEF,:஺O;G,<஺஺1&'BD=ᑗ?E@A()ᑣᙠD)6EFG()GEḄH1512B.—cmD.—cm45ஹ⚪3ᜧ⚪ᐳ86⚪786⚪2ᑖ7ᐳ16ᑖ.11.Iᦪy=LMḄNOPxḄRTU—.12.ᑖWXYZa3-a=13.[☢ᕜH8?tcm,a'H5cmḄᙊ┵Ḅd☢ecm2.14.f⚪“ᐰjklḄ☢e=j”Ḅ⌮f⚪Uf⚪.oᐭ“q”ᡈ“Ꮇ”15.ᙠRMABCFZC=90°,AC=5,BC=4,ᑣtanA=___.16.|}Iᦪ᜛=2m-lx-l+3/Mmᦪ0,ᑣmḄRT17.᝞஺஺8MBCḄ᜜5ᙊ4=45஺BD஺஺Ḅ+,BD=242ᑣBC=.34⚓/57⚓

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1V9+|-5|-
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