天津市和平区2021-2022学年中考数学模拟试卷（二模）含解析版

《天津市和平区2021-2022学年中考数学模拟试卷（二模）含解析版》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

ூ
⚗ᡭẚ௃ᜩ2021-2022ὃᦪᔁᔁ᱐—ஹ⌱■⌱:1.201312ᨴ2!“#$%&”()*+,-.-.ᓣ0!1212ᨴ14ᙠᨴᳫ6ᡂ89:;Ḽ▮.ᨴᳫ>?ᙢᳫᙳB38DEF!Gᦪ38DᵨIJᦪK⊤M!ᐸOPA.3.8x104B.38x104c.3.8xl05D.3.8xl062.Zᑡᔜ]^_`aḄcA.a-b2=a2-b2B.-a43=a7C.2a»-3b=6abD.a54-a4=aaNOA.AB.BC.CD.D4.mnB13cmஹ10cmஹ5cmஹ7cmḄqᩩstḄ%ᩩstBu!vmwx%yzḄ{ᦪc()A1{B.2{C.3{D.4{5.᝞,N1=60°,᝞PCD//BE,N8ḄᦪBA(7—DBஹ---EA.70°B.100°C.110°D.120°6.-22Ḅ_᪷c()A.2B.-2C.±2D.V27.᝞PsAB:2y!ᑣA,BḄᙶ᪗ḄᐵcA.ᙶ᪗B.ᙶ᪗C.ᙶ᪗ḄD.ᙶ᪗Ḅ8.x◤¡¢yᐗ¤:F¥xᓟ§¨ᦪᐵḄ©᝞ᡠM!«¬1⚓/¯18⚓

1x°±3ᓟ§²!³ᓟ§Ḅ¢ᵨc)A.0.71ᐗB.2.3ᐗC.1.75ᐗD.1.4ᐗ9.b>0,ᓄ·(-8ᵨḄOPc()A.-a4abB.ay[abC.-aN-abD.ayJ-ab10.10¸ᐜºḄ»¼᝞Zᓫ¾¿cm159>169ஹ163ஹ170>166ஹ165ஹ156ஹ172ஹ165ஹ162,(À⌱¸ᐜº!ᐸ»¼°±165cmḄᭆ᳛cA.0.5B.0.4C.0.2D.0.111.᝞!ᙠÅABCD!FcADÇÈs6Â!ÉÊBFËDC2E,ᑣÍÎ%yzᐳᨵÑ.A.2ÑB.3ÑC.4ÑD.5Ñ12.ᙠ☢yᙶ᪗!GÓᱥs^=/Â4ᐜᔣ×Ø2{ᓫ¾!Ùᔣ6Ø2{ᓫ¾!ÚᑮḄÓᱥsḄÜ᪆]cA.^=(Þ+27+2B.y=(x-2)2-2C.J^=(X-2)2+2D.y=x+2“-2ஹâ0⚪:13.å]ᑖÜ¿x3-xy2=____.14.èy=Jx-5+j5-x+2,êUx=_,y=15.èab=2,a+b=—1,ᑣÞ+1ḄBab~¬2⚓/¯18⚓

216.í%yzABCḄ%unBa,b,cîïa+b=10,ab=18,c=8,ᑣð%yzB%yz.17.᝞!ñzABCDḄÑysAC,BDË20,ᑖò±C,DóBD,ACḄ:s,Ë2E.èAD=6,ᑣEᑮABḄ>?c18.᝞!ABB00Ḅô!CDB஺0Ḅö!NACD=54°,ᑣ/BAD=%ஹ^_⚪:2x-=819.Ü¥÷:1x—5y——51—3x2,x+1--------W-----------120.Üø]÷251ùÜ⊤Mᙠᦪ6.2(x+3)23—x-3-2-101234qஹÜú⚪¿21.¿᝞!ᙠ஺ABCD!ÑysAC,BDË20,AB1AC,AB=1,BC=J?.(1)û:quzABCDḄ☢üSoABCDý(2)ûÑysBDḄn.22.᝞!ᙠaABC!ZABC=ZACB,mACBôḄ஺OᑖòËABஹBC2MஹN,PᙠABḄÇÈs6!þNCAB=2NBCP.¬3⚓/¯18⚓

3(1)ûÿ
CP஺0Ḅᑗ.(2)BC=27Lsin/BCP=4ACPḄᕜ.23.▰ὁ᪥Ḅ᪥ᔣᜐὁ!"“ᡃ%&'(ᐳ105*ᓫ,ᑖ.8ᐗ012ᐗ(1ᡃ⚞%1500ᐗ᝞456418ᐗ.”ὁ8%9:"“;<=>┯%.”(1)ὁAB"C>┯%DEᵨGHḄIJKLMNO(2)▰ὁPQRSᱥUἠUWḄXY┯%ᵫ[C5%9\]^*._]^*Ḅᓫ,`abcdefghSij[10ᐗḄ᦮ᦪ]^*Ḅᓫ,mfnoᐗD24.pᱥy=-x2+2x+3qxrs[A.B&t(tAᙠBḄvw)qyrs[tC,⚔tD.(1)
zᑏSA,B,C|tḄᙶ᪗0pᱥḄrO(2)PzBC,qpᱥḄr[tE,tPBCḄ9\ttPPF஻DEpᱥ[tF,tPḄᙶ᪗mজᵨmḄᦪ⊤PFḄSmPEDFOঝ4BCFḄ☢S,SqmḄᦪᐵ.4⚓/¡18⚓

4ூ£⚗ᡭẚ௃ᜩ©ª0«2021-2022°±ὃᦪa³Eᔁ(µa)(M᪆᱐)—ஹ⌱9⌱1.2013°12ᨴ2¼“½¾|¿”ÀÁÂÃÄUÅUÅᓣÇ[12ᨴ14¼ᙠᨴᳫᡂÊËÌḼ▮.ᨴᳫÏÐᙢᳫᙳ38ÓÔÕÖᦪ38Óᵨ×^ᦪØ⊤ᐸÚÛ()A.3.8x104B.38X10&C.3.8x105D.3.8x106ூÜᫀ௃CூM᪆௃ூÞM௃ᵫ×^ᦪØḄGß38Ó=3.8x105,ᦑ⌱C2.:ᑡᔜã8äXḄ()A.(a-b)2=a2-b2B.(-a4)3=a7C.2a^(-3b)=6abD.a54-a4=a(a70)ூÜᫀ௃DூM᪆௃ூÞM௃E⚪M᪆A\a-b)2=a2-2ab+b2.ᦑ┯æ.B.(-a4)3=-a12.ᦑ┯æ.C.2a.(-3b)=-6ç.ᦑ┯æ.D.äX.ᦑ⌱D.5⚓/¡18⚓

5tèéêᦪës◀êᦪcíᢣᦪsï.A.AB.BC.CD.DூÜᫀ௃AூM᪆௃ூÞM௃E⚪M᪆᪷ñròḄ=ómI:Acrò.ᦑ⌱A.4.õ13cmஹ10cmஹ5cmஹ7cmḄᩩ±Ḅ|ᩩmõ÷S|øḄ\ᦪ()A.1\B.2\C.3\D.4\ூÜᫀ௃CூM᪆௃ூÞM௃M᪷ñ|ø|ᐵmßfù᪀ᡂ|ø|Ḅûᔠᨵ13cmஹ10cmஹ5cm013cmஹ10cmஹ7cm010cmஹ5cmஹ7cmᐳ3'ᦑ⌱C.5.᝞ò`I/I=60°,᝞ÛCD஻BE,ÿḄᦪ()A---------EA.70°B.100°C.110°D.120°ூᫀ௃Dூ᪆௃6⚓/18⚓

6AC--------v----------------------------Dூ௃C\BEZ1=60°Z2=Z1=60°vCD11BENB=180஺—N2=180°-60°=120°ᦑ⌱D6.-2
2Ḅ᪷!A.2B.-2C.±2D.V2ூᫀ௃Aூ᪆௃ூᑖ᪆௃᪷#᪷Ḅ$%ᓽ'()ᫀ.ூ௃+—2,=4,.,•-2
2Ḅ᪷2,ᦑ⌱A.ூ./௃0⚪ὃ3᪷Ḅ$%45⚪Ḅᐵ7᪷#᪷Ḅ$%89(50⚪:;<Ạ⚪>.7.᝞@ABAB9;yC5ᑣ.A,BḄᙶ᪗GHḄᐵI!A.Jᙶ᪗KLB.Mᙶ᪗KLC.Jᙶ᪗ḄNKLD.Mᙶ᪗ḄNKLூᫀ௃Aூ᪆௃ூ௃O⚪᪆+•••AB489;yC5....A,BḄᙶ᪗GHḄᐵIJᙶ᪗KL.7⚓/18⚓

7ᦑ⌱A.8.STU)VW◤YWZyᐗ!]9W^_xᓟb!GHcᦪᐵIḄde᝞dᡠg5hiTU)VWjk3ᓟbm5nᓟbḄZᵨ!A.0.71ᐗB.2.3ᐗC.1.75ᐗD.1.4ᐗூᫀ௃Dூ᪆௃ூ௃xydez{|3}^ᑮ8}^ᐳ98-3=5}^5Zᵨ14-7=7ᐗ5ᦑ)VWjk3ᓟbm5nᓟbḄZᵨ"5=1.4ᐗ5ᦑ⌱D.9.b>0,ᓄ-8,1Ḅ@!A.-ayfabB.ayfabC.-a-J-abD.ay/-abூᫀ௃Cூ᪆௃ூᑖ᪆௃✌ᐜ᪷#᪷ᨵ%Ḅᩩ5ᑨ0,᪷#᪷Ḅឋ89ᓄ.ூ௃VZ»0,-a3Z>>0,a<0.¤—J¦,-ab!——ciJ—ab.ᦑ⌱C.ூ./௃ὃ3᪷ᨵ%Ḅᩩ§¨᪷Ḅᓄ5©ᑮª0⚪Ḅᐵ7.10.10«ᐜ¬Ḅ®᝞¯ᓫ±+cm!159ஹ169ஹ163ஹ170ஹ166ஹ165ஹ156ஹ172ஹ165ஹ162,|¶·⌱¸«ᐜ¬5ᐸ®jk165cmḄᭆ᳛A.0.5B.0.4C.0.2D.0.1ூᫀ௃B8⚓/18⚓

8ூ᪆௃ூ௃,ᙠ10«½¾Ḅ®¶5®jk165cmḄᨵ169cmஹ170cmஹ166cmஹ172cmᐳ4¿À54.P(·⌱1À5®jk165cm)=—=0.4.10ᦑ⌱B.11.᝞d5ᙠ஺ABCD¶5FADÂÃBĸ.5ÅÆBFÇDC;.E,ᑣd¶ÉÊËÌÍᐳᨵ()Î.A.2ÎB.3ÎC.4ÎD.5Îூᫀ௃Bூ᪆௃ூ௃O⚪᪆+•.78C஺9ÏÐÍ5.AD//BC,DC//AB,AABFsADEFs!CEB,...ÉÊËÌÍᐳᨵËÎ.ᦑ⌱B.12.ᙠ☢AÌᙶ᪗I¶5ÒÓᱥBÕ=1¸4ᐜᔣ×Ø2¿ᓫ±5ᔣÄØ2¿ᓫ±5©ᑮḄÓᱥBḄ᪆()A.y=(x+2y+2B.y=(x-2)*-2C.>>=(x-2)'+2D.y=(x+2)ஹ2ூᫀ௃Bூ᪆௃ூᑖ᪆௃᪷#cᦪdeÜ×Ý5įÝḄØÞßᓽ'©)ᫀ.ூ௃ᵫÓᱥB^=/¸4ᔣ×Ø2¿ᓫ±5©+y=(x—2)2—4âᔣÄØ2¿ᓫ±,©+y=(x—2)2-4+2=(x—2)2—2,ᡠ§AஹCஹD┯äâᦑ⌱B.9⚓/18⚓

9ூ./௃0⚪⌕ὃ3cᦪdæḄØ5çèéêØë⚪Ḅᐵ7.ஹì⚪+13.íᑖ+x3-xy2=____.ூᫀ௃x(x-y)(x+y).ூ᪆௃ூᑖ᪆௃⌕Ò¸¿ï⚗ᑖíḄñòóô✌ᐜõᔜ⚗ᨵ÷ᨵ}í5øᨵ}í5ᑣùúûü)ᩭ5Gmxyþᔲ
ᐰᡈὃ⇋ᵨᑖ.ூ௃x3-xy2=x(x2-y2)=x(x-y)(x+y),ᦑ%ᫀ'x(x-y)(x+y).14.y=Jx-5+-x+2,-Ix=_,y=____.ூ%ᫀ௃5,2ூ᪆௃ூ௃1⚪᪆3ᵫ⚪56x-5>0,95—xNO,6595,/.x=5.>2.ᦑ%ᫀ'5,2.?@3AB᪷ᨵ5EḄᩩH3IJᦪᜧMNMO.15.ab=2,a+b=—1,ᑣḄS'.abூ%ᫀ௃-OS#2ூ᪆௃ூ௃3•.,+3=Uabab11-11V஺6=2,Q+6=—1YZ+—=—=—.ahi2ᦑ%ᫀ'3-216.[\]^_ABCḄ]cd'a,b,cfga+b=10,ab=18,c=8,ᑣi]^_']^_.ூ%ᫀ௃j^ூ᪆௃k10⚓/m18⚓

10ூ௃᪷no\3a+b=10,ab=18,c=8,pqra+b
2-2ab=100-36=64,sc2=64,ip6ᑮa2+b2=c2,ᯠv᪷nwxyᳮp\i]^_j^]^_.ᦑ%ᫀ'j^.17.᝞|}_ABCDḄ~^AC,BDM?O,ᑖ?C,DBD,ACḄ,M?E.AD=6,ᑣ?EᑮABḄ.ூ᪆௃ூ௃1⚪᪆3E0,E0"AB#H.'DE//OC,CE//OD,c_QDECc_,:c_N8CD}_.OD=OC,c_ODEC_.OE1CD,•ABUCD,ADLCD,.EHA.AB,AD//OE*OA//DE,...c_NOE஺c_:.AD=OE=6,•OH஻AD,OB=OD,:.OH=-AD=3,2.EH=OH+OE=3+6=9,ᦑ%ᫀ'9k11⚓/m18⚓

11?@:c_Ḅᑨy:~cᑖḄc_c_.18.᝞|AB'஺0ḄjCD'஺0ḄZACD=54°,ᑣ/BAD=ூ%ᫀ௃36°ூ᪆௃ூ௃1⚪᪆30஺Ḅj,...ZADB=90\ZABD=ZACD=54°,ABAD=90°-NABD=90°-54°=36°,ᦑ%ᫀ'336°.?@:ᙠᙊᡈNᙊᡈNᡠ~Ḅᙊᕜ^N.]ஹ⚪:2x-=819.:7x—5y——5x=-5ூ%ᫀ௃¡y=_6ூ᪆௃ூ௃1⚪ᑖ᪆3ᑭᵨ£¤¥ᐗᐸᓽp.1⚪᪆:'2x-3y=8জ,7x_5y=_5ঝ,k12⚓/m18⚓

12জx5610x-15>40ঞঝx3621xT5>-15টট—ঞ61lx=—55,63x=-5,±x=—5²ᐭজ62x(-5)-3y=8,6y=-6,x=-5ᡠ´Ḅ¡,y=-6.1Z3x2x+l-----s-------120.¶N25·±⊤¹ᙠᦪº».2(x+3)>3-x-3-2-1~0~1~2~3~413ூ%ᫀ௃x½19ூ᪆௃ூ௃1⚪ᑖ᪆:ᑖ¶N,¾¿ÀḄᐳÂᑖᓽp.1⚪᪆3252(x+3)>3-x@,13ᵫজ63x>—,19ᵫঝ63x>-l,13ĶNḄÀ'3x>—,19±¶NḄÀᙠᦪº»⊤¹'30τ______ττ1.14τττAo-4-3-2-1O234x19ஹ%⚪321.[\3᝞|ᙠeABCD~^AC,BDM?O,AB1AC,AB=1,BC=JJk13⚓/m18⚓

13(1)qc_ABCDḄ☢ÈSoABCDÉ(2)q~^BDḄd.ூ%ᫀ௃(1)S°ABCD=2,(2)BD=2vூ᪆௃ூᑖ᪆௃(1)ᐜq¿NC,᪷nc_Ḅ☢È=ËஹÌÍᓽp.(2)ᙠq¿3஺Îp68஺Ḅd.ூ௃প3ABJ_AC,/.ZABC=90°ᙠRtZX/BC,zc=y]BC2-AB2=2,ᑣS°ABCD=4BxAC=2.(2)•.•c_ABCDc_AO=OC,BO=OD,É.AO=1,ᙠR34BO,60=Vl2+12=JI,.BD=2BO=2522.᝞|ᙠAABCZABC=ZACB,´AC'jḄ஺OᑖABஹBCM?MஹN,?PᙠABḄ»9NCAB=2NBCP.(I)qÐ3jCP஺0Ḅᑗ.(2)BC=2Vj\sinNBCP=Òq4ACPḄᕜd.ூ%ᫀ௃(1)ÐÓÔ᪆(2)20k14⚓/m18⚓

14ூ᪆௃ூᑖ᪆௃r1
ÕÐÓjCPḄᑗÖ◤Ð6C>ØZCÉ2
ᑭᵨÙ]^ÚᦪḄyEq6ḄjNC=5,ᑣḄÛ'Ü᝞|?88஺/4c2M?஺᪀Þßà]^_3ACAN-ACBD,ᡠ´᪷nßà]^_Ḅ~ácᡂãäq6åBD=4ÉᯠvᙠRtZ\BCD,ᑭᵨwxyᳮp´q6CD=2,ᡠ´ᑭᵨᑖåᡂãäᑖq6åPC,P3Ḅdæ.ᓽpq¿ZUC>Ḅᕜd.ூ௃r1
ÐÓ3/N,"ZABC=ZACB,.AB=AC,34C0஺Ḅj4VJ_8C,:.NCAN=NBAN,BN=CN,,NCAB=2NBCP,.ZCAN=ZBCP.■:NCAN+/ACN=9Q°,.NBCP+NACN=9J,.CP±AC,30C0஺ḄÛ஺஺ḄᑗÉ(2)vNANC=90°,sinZ5CP=—5.CN.,-----------,••ACߟ5»AC5.OOḄÛ'9.2k15⚓/m18⚓

15᝞|?8BO_L4CM?Dᵫ617BN=CN=*BC=#,ᙠRtACJTV,NN=y]AC2-CN2=275,ᙠsëC8OZANC=ZBDC=90",NACN=ZBCD,:.CANsCBD,BCBDZZᓭ’:.BD=4.ᙠRtASCP,C£ò=yjBC2-BD2=2,.AD=AC-CD=5-2=3,'JBD//CP,.BDADADAB"~CP~^4C>~DC~^P>.•.”=ô,ᓽõ33/.ëZPCḄᕜdAC+PC+AP=20.ூ?@௃÷⚪ὃøùᑗḄᑨyúឋüஹßà]^_Ḅᑨyúឋü´ýwxyᳮḄþᵨ.ᶇ
ᳮᵨḄᩩᙠ.23.▰ὁ᪥Ḅ!
"᪥ᔣ!$ᜐ&ὁ'()*“ᡃ-./0
ᐳ1055
ᓫ7ᑖ98ᐗ<12ᐗ
0ᡃ⚞-1500ᐗ
᝞@AB418ᐗ.”&ὁE-FG
)*“HIJ┯-.”L1M&ὁNO)PJ┯-QRᵨSTḄUVWXYZ[L2M▰ὁ\]^_ᱥaἠ
acḄde┯-
ᵫgPA-Fhij5.kij5Ḅᓫ7lmnop
qrst_uvg10ᐗḄ᦮ᦪ
ij5Ḅᓫ7yrz{ᐗQூ}ᫀ௃L1MY᪆[L2Mij5Ḅᓫ7yr2ᐗᡈ6ᐗ.ூY᪆௃ூᑖ᪆௃L1Mᐵ*8ᐗḄ0Ḅ+12ᐗḄ0Ḅ=1500418[L2Mᐵij5Ḅᓫ7vg10ᐗḄ᦮ᦪ
ᐵ*0ᡠᵨᦪ-0Ḅ710.ூY௃Y*পᓫ7&0ᐗḄ᜜0x5
*8x+12=1500—418,Y*x=44.5Loᔠ⚪M.¡16⚓/18⚓

16•.•ᙠ¥⚪Xorvᦪ
&ὁ)PIJ┯-[(2)ᓫ78.0ᐗḄ᜜0V5
ij5Ḅᓫ7bᐗ
«⚪*0<1500-[8^+12+418]<10,Y*0<4y-178<10,ᓽ*44.5<᜛<47,...yu455ᡈ465.´µ=455¶,6=1500-[8x45+12+418]=2,´·=465¶
Z>=1500-[8x46+12+418]=6,ᓽ*ij5Ḅᓫ7yr2ᐗᡈ6ᐗ.24.ºᱥ»y=-x2+2x+3¼x½¾'gA.B.Á(ÁAᙠBḄÂÃ)
¼y½¾'gÁC,⚔ÁD.(1)Çᑏ_A,B,CÁḄᙶ᪗<ºᱥ»ḄË̽[(2)\ÇBC,¼ºᱥ»ḄË̽'gÁE,ÁP»ÏBCÐḄFhÁ
ÑÁPÒPF஻DE'ºᱥ»gÁF,ÁPḄÕᙶ᪗m*জᵨØmḄÙᦪ⊤Û»ÏPFḄÜ
ÝÞ_´mßà¶
áâPEDFãäáâ[ঝ4BCFḄ☢çS,ÞS¼mḄéᦪᐵ.ூ}ᫀ௃(1)A(-1,0),B(3,0),C(0,3)[ºᱥ»ḄË̽*x=l[(2)জ´m=2¶,3QáâPEDFãäáâ[ঝS=——m2+<3).22ூY᪆௃ூᑖ᪆௃(1)Ëgºᱥ»Y᪆
ìí0Þ_xḄà
d_4¼8ᙶ᪗
ìí0Þ_VḄàd_Cᙶ᪗
îïÞ_Ë̽ᓽy[(2)জ᪷ñB¼஺ᙶ᪗
ᑭᵨôᦪõd_»8cY᪆
îï⊤Û_E¼íᙶ᪗
᪷ñºᱥ»Y᪆d_஺¼Fᙶ᪗
⊤Û_PF,ᑭᵨãäáâḄᑨSõd_mḄàᓽy[ঝ\Ç8/
»P/¼x½'gÁø
Þ_஺8ḄÜ
᪷ñS=S“BPF+SCPFᑡ_SᐵgúḄûüéᦪY᪆.ூY௃Y*(1)Ëgºᱥ»µ=—Y+2X+3,ìx=0,ᑮþ3[¡17⚓/18⚓

17ìy=0,ᑮF/+2x+3=0
ᓽ(x-3)(x+D=0,Y*x=Tᡈ-3,ᑣ/(-I,0),8(3,0),C(0,3),ᱥx=l(2)জBCḄᦪ᪆!"#+b,"+6=0(3(3,0),C(0,3)ᑖ*+ᐭ-.\ஹb=3,-.k=-l,b=3,BCḄ᪆!1-x+3,2x=l34"-1+3=2,AE(1,2)2"m34"-9+3,/.P(m,:9+3);y=——+2x+3>X=l,-ᑮ"4,஺(1,4),2x=m34y=-m2+2m+3,F(m,-m2+2/n+3),••E஺F=4-2=2,V0yP4EPF=—nt2+2m+3-(-m+3)=-m2+394KL஺RᵫPF஻஺P-ᑮ234QRS"EDFUVQRS4ᵫ/+39=24-ᑮ9=2ᡈ"2=1(Wᔠ⚪Z[#)45ᑣ2m=234QRSPEDFUVQRSঝKL3"4P"^x_`a”,ᵫ3(3,0),0(0,0),uJWOB=OM+MB=3,■S=S“BPF+S.CPF=*PF-BM+*PF-OM=(BM+OM)=gpF-OB,j39S=—x3(-w2+3m)=--w2+—m(S)