宁夏中卫市2019-2020学年中考数学五模考试卷含解析

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2019-2020ὃᦪὃᔁஹ⌱⚪ᜧ⚪ᐳ12⚪⚪4ᑖᐳ48ᑖ.ᙠ⚪Ḅ⌱⚗"ᨵ⚗$%ᔠ⚪'⌕)Ḅ.*X-a1.+ᑖ,-.701ᑣaḄ34*x+1A.0B.-1C.0ᡈ-1D.1ᡈ-12.᝞789aஹb:cᡠ<+2஻1
,Zl=45°,N2=65஺ᑣN3Ḅ>ᦪ4A.110°B.115°C.120°D.130°3.᝞7ᙠR/AABCNAC3=90஺tanZC4B=—AB=3,?஺ᙠ@ABA548CḄDᙊ3F?M$COḄGHᑖ?I?JKḼDᙊM?ANOᑮ?BQ?MNOḄRCS4*_71c71fᑍC.?ᡈUn„zrA.4ᡈB.ᡈTD.ᡈ223434.ᙠ᝞7ᡠVḄW-XYZYZ9Ḅ[?\4Z?]^AஹB$_Z?᝞`Ca$7ḄZ?,cdefABC4HῪ8hGhXᑣi᪵Ḅ?Cᨵ*B.7C.8D.95.ᵬl_mᙳMmoḄp⚓rsᢥ᯿vw⌲⚓yzᙠ⚓Fᑏᦪᵬmᙠp1⚓ᑏ1,p2⚓ᑏ3,p3⚓ᑏ1,……⚓ᑏḄᦪᙳ|}⚓ᑏḄᦪ~2lmᙠp1⚓ᑏ1,p2⚓ᑏ6,p3⚓ᑏ11............⚓ᑏḄᦪᙳ|}⚓ᑏḄᦪ~1.+ᵬmᙠ⚓ᑏḄᦪ449,ᑣlmᙠi⚓ᑏḄᦪ4*

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212.74Ḅª«-᪷4
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N=P=q=N="=3BCCDCAAB3:.FM//BD,EM//AD,EF=2.ZFMC=ZBDC,ACME=CDAVAB245ZBDA=9Q°ᓽZBDC+ZCDA=9Q°.ZFMC+ZCME=90°•••MḄ012EF345Ḅ6ᙊVEF=2

7...EFḄᙊḄ1AMḄ”!=ᐔ"#$ᳮ&MḄL'32ᦑ⌱A.ூ+௃-⚪/⌕ὃ2Ḅ3456ᙊᕜ8ᳮḄ9:Ḅឋ;<=>?⚪ḄᐵA.4.Aூ᪆௃ூᑖ᪆௃᪷⚪DEᔠGᑖHIJKL:জABMῪOABCPQRঝABMῪOABCᐸTḄUᩩῪ.ூW௃᝞GᑖJKL:জABMῪOABCPQ#YᔠᩩZḄCᨵ2\RঝABMῪOABCᐸTḄUᩩῪ#YᔠᩩZḄCᨵ4\.ᦑ⌱C.ூ+௃-⚪ὃ2]MῪḄᑨ8R_-⚪ᐵA?᪷⚪D`aYᔠb▭ᩩZḄGdᑭᵨᦪhijᩭ.ᦪEᔠḄlm?ᦪh⚪Tno⌕Ḅ⚪lm.5.Cூ᪆௃ூᑖ᪆௃᪷⚪Dp8aᵬrH$hᡠᑏḄᦪuvᵬᡠᑏḄwn\ᦪ49,᪷xyp8anḄzᓽ&p8arᙠ}⚓ᑏḄᦪ.ூW௃ᵬᡠᑏḄᦪ1,3,1,7,…49,...RrᡠᑏḄᦪ1,6,11,16,vᵬᡠᑏḄwn\ᦪ49,᪷⚪D49=1+(n-1)x2,᦮ᳮ2(n-D=48,ᓽn-1=24,

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••tujᦪy=x-Lwx{|Wtஹஹx▲ᦑ⌱D.ூZ௃⚪ὃsopjᦪḄwxGឋtujᦪḄwx"⚪Ḅᐵe29/jᦪḄ"᪆k᪷'"᪆k7ᑨ7.Bூ"᪆௃ூE"௃■:a+b=3,:.(a+b)2=9:.a2+2ab+b2=9■:a2+b2=7A7+2ab=9,7+2ab=9Aab=l.ᦑ⌱B.

9ὃᐰ=>R᦮ᐭ.8.Aூ᪆௃ᑖ᪆AD?BCQḄZABC=60°,ᓽ&ᑮNBAD=30஺NBAC=5()஺AEᑖNBAC,ᓽ&ᑮNDAE=5஺d᪷OABCTZC=180°-ZABC-ZBAC=70°,&NEAD+NACD=75஺.WTAD?BCQḄZABC=60°,NBAD=30஺VZBAC=50°,AEᑖNBAC,:.ZBAE=25°,.,.ZDAE=30o-25°=5°,VAABCT,ZC=1800-ZABC-ZBAC=70°,ZEAD+ZACD=5°+70o=75°,ᦑ⌱A.+-⚪ὃ2]ᑁ;8ᳮᑁ;180஺.⚪ḄᐵA?᜜ឋᑖḄ8Ḅᵨ.9.Aூ᪆௃ூᑖ᪆௃᝞H\ᓫ⚗>ᡠḄu$$uḄᢣᦪᑖ$¡H\ᓫ⚗>$¢⚗.ூW௃᪷⚪D&ix2y;2xy2£?$¢⚗.ᦑ_ᫀ⌱A.ூ+௃-⚪ὃ2]ᓫ⚗>¥¦⚗>⚪ḄᐵA?§¨Ḅ56ᓫ⚗>¥¦⚗>Ḅᐵij.10.Dூ᪆௃ூᑖ᪆௃ᵫª«ᦪ¬Eᔠ᪷Ḅᑨ>O>0,ᓽ&aᐵ®kḄUᐗU°£M>±²ᓽ&akḄ³zµ.ூW௃••
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10".k>l.ᦑ⌱D.ூZ௃⚪ὃ᪷Ḅᑨkᱞ“F"Jᨵᦪ᪷”2"⚪Ḅᐵe.ூ"᪆௃ூᑖ᪆௃ᙠ@X4aᑖ9/ABஹADᓽ;"⚪ூE"௃“ACᙠRtAABCaAB=-------,sinaACᙠRtAACDaAD=-sinp.ACACsin/?sinasinpsinaᦑ⌱B.ூZ௃⚪ὃ"4Ḅᵨஹ┦jᦪn"⚪Ḅᐵe2ᑭᵨᦪ"⚪.12.Bூ"᪆௃ᑖ᪆ᐜ9."Ḅ¡¢£¤9ᡠ9ᦪḄ^¥᪷ᓽ;.E"•••"=2,82Ḅ^¥᪷2¦•••"Ḅ^¥᪷2⊈ᦑ⌱B.Z¨⚪©⌕ὃ^¥᪷Ḅ*«"⚪Jᐜ¬v29XᦪḄ^¥᪷ᔲᑣ¯᧕/±⌱AḄ┯³.}ஹ´N⚪µᜧ⚪ᐳ6X⚪¸⚪4ᑖᐳ24ᑖ.100080013.=--------------x+20xூ"᪆௃ூᑖ᪆௃¹Bº»ᘤ½¸J¾]xkgᱥÀᑣAº»ᘤ½¸J¾]
x+20kgᱥÀ᪷'“Aº»ᘤ½¾]1000kgᡠᵨJÁGBº»ᘤ½¾]800kgᡠᵨJÁ”;ᑡ.

11ூE"௃¹Bº»ᘤ½¸J¾]xkgᱥÀᑣAº»ᘤ½¸J¾](x+20)kgᱥÀ,13WOO800᪷'⚪?;.——=—,x+20x.ÆÇÈ1000800ᦑ<ᫀ3tt•x+20xூZ௃⚪ὃᵫ▭⚪Êx/ᑖk"⚪Ḅᐵe2᪷'ᦪËᐵhᑡ/ᐵXḄᑖk.⚪Ạ⚪Ìᜧ"Í⚪º⚪ÎJ᪷'ᦪËᐵhᑡ/2ᐵe.14.18ᡈ21ூ"᪆௃FῪ38JᕜÑ38+8+5=21FῪ35J,ᕜÑ35+5+8=18.ᦑ¨ḄᕜÑ318ᡈ21.15.1ூ"᪆௃ூᑖ᪆௃ᵫᢚÓ;.N3=180஺-2N2,78;.N3ḄᦪᯠÖ¢᪷'@4×ØᑁÚ⊡;.Zl+Z3=180°,78;.N1Ḅᦪ.ூE"௃"ᵫᢚÓ;.N3=180஺-2/2=180஺-1°=70°,VAB/7CD,.,.Zl+Z3=180°,AZ1=180°-70°=1°,ᦑ<ᫀ3Lூ"᪆௃ூᑖ᪆௃ᐜ9/4y=7G4y=-2x-1ḄÜ3(-4,7),¢ᑖÞD-FBᙠAḄßàᑣm<-4<3m-1,FBᙠAḄáàâãJ3m-ä-4Wm,ᯠÖᑖ"ᐵmḄÌkåᓽ;.ூE"௃

12"y=7#-2x-1=7,x=-4,ᡠy=7¥y=-2x-1Ḅ·-4,7,"BᙠAḄ¸¹ᑣmS-4W3m-l,»R"BᙠAḄ¼¹½!j3m-lS-4Sm,-4WmS-l,ᡠmḄ³zµ-4«mW-1,ᦑ_ᫀ-4WmW-1.ூ+௃-⚪ὃ2]U°ÀᦪGÁḄᙶ᪗ᱯÅ᪷y=-2x-l¥ÆABᨵ=ᐳÈaᐵ®mḄUᐗU°£M>±?⚪ḄᐵA.17.1.ூ᪆௃ூᑖ᪆௃᝞GÉBHJ_AC®H.ᵫÊQABCD?Ë9aOA=OC=OD=OB,vOA=OC=OD=OB=5a,ᵫ4BHjtanNBOH=—=------,&BH=4a,OH=3a,ᵫ⚪D2x—xlax4a=40,aaᓽ&⚪.3OH2ூW௃᝞GÉBH_LAC®H.■:ÊQABCD?Ë/.OA=OC=OD=OB,vOA=OC=OD=OB=5a.4BH3*1VtanZBOH=-=——,BH=4a,OH=3a,ᵫ⚪D2x—xlax4a=40,.a=l,.AC=1.3OH2ᦑ_ᫀ1.ூ+௃-⚪ὃ2]ËḄឋஹMij⚪ḄᐵA?hÏÐÑÒᵨÓÔ᪀⌼⚪hÏᑭᵨ×ᦪ᪀ض⚪.118.U3ூ᪆௃ᑖ᪆᪷ᭆ᳛ḄÛÈÜHজᐰÞJKḄßᦪRঝYᔠᩩZḄJKᦪáRâὅḄäz?ᐸåæḄᭆ᳛.WçUèᙢᙳᒴḄìíçḄᦪ&î?1ஹ2ஹ3ஹ4ஹ5ஹ6TḄïDU\ᦪᐳᨵðI

13;æᐸa4ஹ62ᔠᦪᡠᭆ᳛3!■=1.63ᦑ<ᫀ3:.Z⚪©⌕ὃᭆ᳛Ḅ9iᵨᑮḄn3ᭆ᳛=ᡠ9BCᦪGíBCᦪîo.ஹ"<⚪(ᜧ⚪ᐳ9X⚪ᐳ78ᑖ"<ᑏ/ᦻðñ¬ஹò¬|ᡈó^mô.319.(1)ò¬õ"᪆(2)ö.ூ"᪆௃ூᑖ᪆௃পKLOM,ò¬OM஻BE,¢øᔠῪḄឋñ¬AEJLBE,78ò¬OM1.AE(2)øᔠùn9/AB,¢ò¬AOMS/IABE,ᑭᵨÂúḄឋû^.ூE"௃(1)KLOM,â1JOM=OB,N1=N2,VBMᑖNABC,/.Z1=Z3,/.Z2=Z3,.".OM/7BC,.,.ZAMO=ZAEB,ᙠABCaAB=AC,AE2ᑖ.•.AE±BC,:.NAEB=90஺.,.ZAMO=90°,AOMIAE,•••MᙠᙊOl.AEGOOÂᑗCAFTO(2)ᙠABCaAB=AC,AE2ᑖ,.,.BE=-BC,ZABC=ZC,21VBC=4,cosC=—3

141BE=2,cosZABC=—3ᙠABEaZAEB=90°,BE\AB=---------------=6cosZABC¹஺஺Ḅ653r,ᑣAO=6-r,OM஻BC,/.AOM^AABE,,OMAO••••tfBEAB.r6-rt=----9263"./'=723஺Ḅ7.2ூ௃⚪ὃᑗḄᑨῪḄឋḄᑨឋ!"#$ᔠឋ&'#()*+,-#./0ᵨᐵ!"3⚪Ḅᐵ4.120.2ூ᪆௃7⚪ᑖ᪆9ᐜ᪷<⚪=>?᪛ABᡈᑡ⊤#ᵫB⊤GHᡠᨵKLḄMNA,COPQRᡠST⁐VWḄḄXY#ᑭᵨᭆ᳛]^G?ᭆ᳛.7⚪᪆99>᪛AB᝞`B9Eñññññòñòñᡭ--1ôrmõrmòññö1111÷--T1õmiòòñørmrm஺〈rm••,ᐳᨵ8dVWḄS⁐ef#ᐸhA,COPQRᡠST⁐VWḄḄXYᨵ4d,.•.P
A,COPQRᡠST⁐VWi=:=:.o2ὃ91.>᪛ABᡈᑡ⊤f2.ᭆ᳛.

1521.(1)50(2)a=16,b=0.28(3)_ᫀú᪆;(4)48%.ூ᪆௃ü⚪ᑖ᪆(1)᪷wU±Ḅýᦪ;þᑖäa᪵
(2)᪷᪵
⚣ᦪஹ⚣᳛ḄᐵabḄ(3)᪷aḄ⊡ᐰ(4)᪷Ḅ!"#$#%&Ḅ!'&Ḅ⚣ᦪ()*100%+ᫀ..⚪0᪆(1)244),04=50(2)50x0.32=1614+50=0.28(4)(0.32+0.16)xl()()%=48%ὃ3⚣ᦪᑖ56722.(1)890᪆(2)᝞ᡠ3AḄᙶ᪗"(0,1),3CḄᙶ᪗"(-3,1)(3)᝞ᡠ3B2Ḅᙶ᪗"(3,-5),3C2Ḅᙶ᪗"(3,-1).ூ0᪆௃ூᑖ᪆௃(1)ᑖ@83BA3CBCDḄ3ᯠDFGHIᑮ(2)᪷3BḄᙶ᪗KL☢6Nᙶ᪗(3)ᑖ@83Aஹ3Bஹ3CᐵOP3QRḄ3ᯠDFGHIᑮ.ூS0௃(1)A61cl᝞ᡠ(2)᝞ᡠTA(0,1),C(-3,1)(3)AA282G᝞ᡠB(3,-5),(3,-1).2

1623.1+6ூ᪆௃ᑖ᪆9kᑭᵨᱯmḄnᦪpqrsᢣᦪuḄឋvwᢣᦪuḄឋᑖxᓄzH?`ᫀ.|9}^=2xg-l+6஻+2=1+73.9~⚪⌕ὃᦪ0#()ᓄzᔜᦪ3⚪ᐵ4.24.(1)(2)᪆ூ᪆௃ூᑖ᪆௃(1)᪷<Ḅឋ#“”ᐰᓽK(2)᪷<⚪=v(1)KHACEFᚖᑖ#ᡠqAECF3.ூ|௃(D9•.•ABCD3#.*.OB=OD,AE஻CF,AZE=ZF(O#ᑁ┯)#ᙠ4BOE^ADOFh#'NE=NF

179•.•ABCD3#.,.OA=OC,9ᵫ1ABOEg/\DOFH#OE=OF,•••AECF3#XVEF1AC,AECF3.2525.
1᪆2—.Oூ᪆௃7⚪ᑖ᪆919᝞B1,kOB,ᵫAB3஺஺Ḅᑗ#HᑮOBLAB,ᵫCE_LAB,ḄOB஻CE,3HᑮN1=N3,᪷<ῪḄឋHᑮN1=N2,ᣚHᑮMN.
2᝞B2,kBD¡DBCs^CBE,Hᑮ¢£^ᙶᳮ#ᑡe¦KHMN./.OBXAB,VCE±AB,.\OB஻CE,N1=N3,VOB=OC,.*.Z1=Z2,.•.N2=N3,ACBᑖNACE(2)᝞B2,kBD,

18:.ZE=90°,BC=VBE2+CE2=732+4^5,TCDV஺OḄ6X.,.ZDBC=90°,.*.ZE=ZDBC,.,.¡DBC<^ACBE,.CDBC••---------fBCCE/.BC2=CD»CE,.\CD=^—,44195OCUCD=§Zo.•.(DOḄYX=[.8ὃ3ᑗ]Ḅឋ_.26.(1)15045,36,(2)`a(3)1ூ
᪆௃ூᑖ᪆௃(1)ᵫ“de”Ḅ!ᦪᐸᡠᓰiᑖjk!ᦪᵨk!ᦪmnᐸo⁚qḄ!ᦪᓽstKḄ!ᦪm,ᵨ`aḄ!ᦪ◀k!ᦪᓽnḄ(2)᪷vᦪḄwxs0(3)ᵨk!ᦪ*᪵yz᰿|}⁚qḄ!ᦪᡠᓰj~.ூ
௃0(1)Ḅkᦪ"30+20%=150(!)m=150-(12+30+54+9)=45,n%=—xl00%=36%,ᓽn=36,150ᦑ+ᫀ"150,45,36(2)ᵫ⚪ᨬz᰿ᵯ⁚q"“`a”Ḅ!ᦪᨬ...yᨬz᰿ᵯ⁚qḄ“vᦪ”"`a

19ᦑ`ᫀ¯°12(3)´µ¶᪥ᨬ¹᰿»¼⁚¾Ḅ¿ÀÁᦪ2000xᜟ=1.ூ௃⚪ὃŵ⊤ஹᡧŵBஹ᪵´µÉÊ!"#⚪Ḅᐵ43ᮣÌ0ᵨᡠ¿!"ÍÎ⚪#ÏhὃÐὃ⚪Ñ.27.(1)5(2)-2-2,V^ঝH#x<_g,ᡠqV^îḄá3-2Wᐗ<ᵨᦪñ⊤ò9-^51ii2>ூ௃⚪ὃᦪḄóᔠ0#ᱯmḄnᦪp#w᦮ᦪᢣᦪu#sᢣᦪô#V^îḄf#3$ᔠ⚪#õö÷Vᜧ#µù⌕ú=0ûüḄᜐᳮqrá]ᐳäᑖḄ).

20