2022-2023学年天津市中考数学专项提升仿真模拟试题(一模二模)含解析

2022-2023学年天津市中考数学专项提升仿真模拟试题(一模二模)含解析

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时间:2023-04-22

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10ᙠRtZ\4C஺YJ9=5,ᵫ½¾fᳮG:4,=3,ᓽ¡0MḄᨬ·¸23,t⚪ὃᚖ²fᳮஹ½¾fᳮஹᚖ¡ᨬ»uvwxᚖ²fᳮvOᚖ¡ᨬ»=Ḅᐵ9.᝞MVᑡᩩXÌANCQSA48CᡂÑḄ)A___=____B___=____c.AC2=ADABD.CD2=CD~BCAD~ACADBDூ;<=ᫀ௃Cூ@௃A⚪ᑖ᪆Dt⚪⌕ὃḄÖd+(×ØḄᑨft⚪᪷£ᨵ$%+ÚcrÛ+ḄÜ'Ûᡂª«ᑣÜ%d+(×Øj§G=ᫀ.᪷£⚪jGNA2Ýᐳ+ᑣ⌕ÌdACAD+(×Øᑣßàá$ᓃ=——.ABACJᨒDt⚪⌕ὃḄÖd+(×ØḄᑨffᳮᙠᨵ$%+ÚcḄäåVßà+ḄÜ'Ûᡂª«᝞æl+ḄÜ'Ûᡂª«ᑣçÜ%d+(l×Øo×ØSj§ᑭᵨᨵÜ%+ÛÚcḄÜ%d+(ᐰc.10.᝞Mé¬ᦪy=ax2+bx+c°1ḄMñJ1,2rxòJḄóᙶ᪗ᑖö2xiX2᝞ᐸY-1+c<0o®2a+b>0-,@b2+Sa>4ac@a<-1.ᐸYúû;<Ḅᨵ]11⚓/`51⚓

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149.256.25ᔠx>9.25.1ᑖᵱᨵᐸᡂᔠḄᨵ2ᑖᵱᡂḄᦪᙠ•ᡧ!"#D$%Ḅᙊ'()*3⌕,ᡂḄᐜ./⌱122345ᵬஹ89:;Ḅᡂᙳ=>?@ᨵ1A⌱Ḅᭆ᳛.⚣ᦟ()ᦪ*1*2ூEFGᫀ௃Jᑖᵱᐳᨵ50ᔠᦪ45L2ᡂḄᦪᙠC$7%Ḅᙊ'(108஺L3>?@ᨵ1A⌱Ḅᭆ᳛N—.10ூPQ௃R⚪ᑖ᪆N1᪷V⚪WXYNᑖᵱᐳᨵN5+10%=50NZᵫ\⌕Aᵱᡂ]ᔠXYNᔠᦪN50-5=45L2ᵫ50ᵱḄᡂᵫ^ᑮ`ᑖ᣸bAᨵ5Bᨵ10Cᨵ15Dᨵ15Eᨵ5XYNᡂḄᦪᙠCLZᵫDᨵ15ᓰ15-50=30%,ᓽX=YN$%Ḅᙊ'(N360°x30%=108°L3✌ᐜ᪷V⚪Wf1᪛h#ᯠjᵫ᪛h#=YᑗlXmḄnop>?@ᨵ1A⌱Ḅqrsᑭᵨᭆ᳛vwᓽX=YGᫀ.R⚪Q᪆N1ᓰ20%,ᨵ5,ᑖᵱᐳᨵ:5+10%=50L•••\⌕Aᵱᡂ]ᔠᔠᦪN50-5=45L2ᓰ30%,ᐳᨵᦪN50x30%=15Bᨵ10Dᨵ15...50ᵱḄᡂᵫ^ᑮ`ᑖ᣸bAᨵ5Bᨵ10Cᨵ15Dᨵ15Eᨵ5z15⚓/}51⚓

15.♦•ᡂḄᦪᙠcLVDᨵ15ᓰ15+50=30%,$%Ḅᙊ'(N360°X30%=108°23ᡂḄᵱᙠEᵬஹ89ᵱᐸ>ᵱa,b,c,f᪛h#Y:ᵬaAcxAx)abcᵬᵬbcᵬ“cᵬa"•.•ᐳᨵ20lXmḄno,>?@ᨵ1A⌱Ḅᨵ14qr,147>?@ᨵ1A⌱Ḅᭆ᳛N—=—.2010ὃNLᑡ⊤p᪛h#L2.⚣ᦪ᳛ᑖ#L3.ᡧ!"#L4.ᦪ.18.¡$¢£¤10ᐗ/ᓟ§Ḅ¨oḄqr¢©!"ª«¬ᜩ®yᓟ§p¤xᐗ/ᓟ§±ᙠ²ᦪᐵ´᝞#ᡠ·.1=yᐵ¸xḄ²ᦪᐵ´w]⌕=ᑏ1xḄº»½L2%¾᪵F¤ÀÁ¨oḄ¬ᜩᑭÃᑭÃ)ூEFGᫀ௃1y=-2x+60L2Æᓫ¤20ᐗ/ᓟ§È¬ᜩXÉYᑭÃ200ᐗ.ூᑖ᪆௃1ᵫ#ÊË20,20Ì30,0,ᑭᵨÍ´ᦪ=ÎQ᪆w;2¬ᜩᑭÃ=¬ᓟ§ḄᑭÃx®.VÐᑡ1⊤ÑwÒᵨ²ᦪឋÔQG.ூPQ௃QN1ÕÖkx+b,ᵫ#ÊX5204+6=2030"6=0'z16⚓/}51⚓

16k=-2QØYN.஺/?=60:~2x+60L(2)p=(x-10)y=(x-10)(-2x+60)=-2x2+80x-600,Va=-2<0,;.pᨵ»„80tÆX=-F_7=20ÈPᨬᜧ»=200.-2x2ᓽÆᓫ¤20ᐗ/ᓟ§È¬ᜩXÉYᑭÃ200ᐗ.Û⚪ὃÜݲᦪḄÒᵨ.19.᝞#N8)஺஺ḄÞCDp஺஺ßᑗ¸C,pN8ḄàáÎâ¸஺OE-L4Dãp4CḄàáÎ⸣প=æNDC=DEফètan/C48=N,48=3,=5஺Ḅé.ூEFGᫀ௃(1)æë3Q᪆L(2)1.ூᑖ᪆௃(1)ᑭᵨᑗÎḄឋÔÌlῪ(ḄឋÔXîY1NDCE=NE,¢ïY1Gᫀ;(2)Õ8£>=x,ᑣNZ>4B+8D=3+x,OD=OB+BD=\.5+x,ᑭᵨñòᳮY18஺Ḅé.ூPQ௃QN(1)ôõOC,)஺஺ḄᑗÎ08=90°,z17⚓/}51⚓

17/.ZACO+ZDCE=90°,ZöNED4=90°,NE4D+NE=90°,"OC=OA,.ZACO=ZEAD,ᦑNDCE=NE,:.DC=DE(2)-BD=x,Ml]AD=AB+BD=3+x,0D=0B+BD=l5+x,ᙠRt/XEADNtanZCAB=—,2ED=—AD=—(3+x),22ᵫ(1)5DC=—(3+x),2ᙠRt/\OCDOC2+CD2=DO2>ᑣ1.52+g(3+ᑗ2=(1.5+÷)2,QYNX]——3(øù)W=1,ᦑBD=1.ὃN1.ᑗÎḄឋÔL2.ñòᳮL3.Q((L4.ûᔠ⚪.20.᝞#ᙠü☢(ᙶ᪗AḄᙶ᪗m,m,BḄᙶ᪗n,-n,ᱥAஹ0ஹBOAஹOB,AB,AByC,ᦪmஹnm

18Dᙠy67ODஹBDজ9:OPC;Ὺ=>?!PḄᙶ᪗%ঝ!ABOD☢BḄCDᑏFG?DḄᙶ᪗.ூIJKᫀ௃1ᱥḄ"᪆$y=—,x2+Lx%2জPᙶ᪗Pi2244333333ᡈP2—/---ᡈP3-/---%ঝD(/.442228ூᑖ᪆௃1✌ᐜ"SFA,BḄᙶ᪗TUᑭᵨXYᦪZ!F[\]ᦪ"᪆$ᓽ_.2জ✌ᐜ!FABḄ/"᪆$`aBO"᪆$bᑭᵨ;Ὺ=>ḄឋdSF9OC=OP?9OP=PC?PᙠOCḄᚖ'9OC=PC?ᑖ!FxḄCᓽ_.ঝᑭᵨSABOD=SAODQ+SABDQSFᐵXḄ[\]ᦪTUSFᨬCᓽ_.ூh"௃"i(1)"x2-2x-3=0,Sxi=3,X2=-1.Vm

19-k+b=-1,"S:3k+b=-313t/ABḄ"᪆$y=~—x——.3Cᙶ᪗(0,—).2•,/OBmO(0,0),B(3,-3),,/OBḄ"᪆$y=-x.VAOPC;Ὺ=>OC=OPᡈOP=PCᡈOC=PC.oP(x,-X).29(i)9OC=OP?x2+(-x)=",74#"45X6ᧅ89ii9OP=PC?PᙠOCḄᚖ',.33ஹP2(—-------).44(iii)9OC=PC?Sx2+f-x+->|=-I2j43"SX[=—,x=0(vw).22/33ஹP3(3/-------).22x'ᡠzPᙶ᪗P⌳-|ᡈP2ᡈP3444422ঝmD}DGJ_xᚖ~G,OBQ,mB}BH_Lxᚖ~H.020⚓/351⚓

20SABOD=SAODQ+SABDQ=_DQ«OG+—DQ,GH=%DQ(OG+GH)32733.•.9x=2?SSCG?D(±,—1).21628⚪ὃḄ[\]ᦪxᔠᵨaᑮ]ᦪஹ"(ᐗ[\ஹ>Ḅ☢B;ᐸ(2)⌕ᶇᑖ!"⍡.2022-2023ᜩὃᦪ⚗ᓣ⚪021⚓/351⚓

21(ஹ⌱(⌱1.ᑡ¡IJḄ),1ஹ(1A.m2+m2=m4B.(m+—)2=m2+—7nmஹm.C.3mn22=6m2n4D.2m2n+——=2mn-n2.¬"®¯°±Ḅᵨᵯ³´,µ¶·¸®¯10ᡝ°±»¼¬½⊤¿10ᡝ°±2014À4ᨴÂᵨᵯÃḄ½¡ÄÅᐵ¿10ᡝ°±ᨴᵨᵯÃᓫÇiÈᑡÉZ┯ËḄ°±ᡝ1324ᨴᵨᵯÃÈ/ᡝ40505560A.Çᦪ55B.Ìᦪ60C.Í29D.Ïᙳᦪ543.᝞ᡠÒḄÓÔÕᵫ×)ØIÕÙᔠUᡂḄÛḄÜÝ1.x—C14.&ᐵXḄᑖ$——=஺à"ᑣ2X+1A.1B.-1C.±lD.05.ã஻/2,(ᙽæ30஺=Ḅ/==ç᝞ᡠÒèéZl=25°,ᑣN2;022⚓/351⚓

22A.30°B,35°C.40°D.45°6.᝞ᙠí>î஺8C4Ḅᙶ᪗(-2,1),஺Ḅïᙶ᪗4,ðIJ8ஹ஺Ḅᙶ᪗B.(-3)ஹ(4)224)27.᝞ᙠAABCZBAC=90°,AB=AC,DñACḄDE1BCE,BD,ðUtanNDBCḄC()1B.V2-1D.-48.᝞Aᙠòóô]ᦪrõ(x<0)'}RtAABC,DöñACḄxDBD÷øyE,&4BCEḄ☢B8,ᑣkḄC()A.8B.12C.16D.209.ᕜúØûüý¼þTÿᑮ᜜0.5ᑮᵬᙢ23⚓/51⚓

23ᢥᙢ!"120ᑖ$ᝤᝤ&'()*+,ᙢ.᝞/012"Ḅ+4y(km)5!"x(h)Ḅ6ᦪ/89:ᝤᝤ&';0!Ḅ3<.=ᑡ?@Ḅᨵ()Dজ!F'Ḅ;020km/h,ᙠᵬᙢ17ঝ!IᝤᝤJK4ঞᝤᝤJK!"25ᓟNটPᝤᝤQ!R10ᑖ$ᑮᙢᑣᑮᙢ30km.A.1B.2C.3D.410.ᙠT☢VWᙶ᪗ZxOy[RSOAICIஹRsOA2c2ஹR3OA3c3ஹRt^OA4c4…^_`ᙠᙶ᪗aKZAIOCI=ZAOC2=ZAOC3..=30°,PbAiḄᙶ᪗(3,0),OAI=OC,OA=OC,23223A3x(-73)2013B.3x(-V3)2014C.3x()2015.3x()D.22222016ஹ⚪(3,×6=18,)11.cdᑖef9bx2y-by3=.12.gh|3-V121+(2016-V2)0-3tan30°=.13.᝞/.ᙠijkABCDḄ_lm3,nAmᙊp2mqrsᙊt.nDmᙊp3mqrsᙊt.P/[ᨩvwᑖḄ☢xᑖm$1ஹS2,ᑣS=S2=.24⚓/51⚓

2414.᝞yᐵ{XḄᐗ}~j4஻/+n+,=0ᨵD᪷ᐸ[D᪷m᪷Ḅ2<ᑣ᪵Ḅj4m“<᪷j”n=ᐵ{<᪷j4Ḅ?@Ḅ0(i@)জj4_X_2=0Ḅ<᪷j4.ঝP(x-2)(mx+")=o0<᪷j4ᑣ4m2+Smn+n2=0.2ঞ56(p4)ᙠ*Q6ᦪ=—Ḅ/Kᑣᐵ{xḄj4px2+3x+q=00<᪷j4.xটPj4ax2+hx+c=00<᪷j4)b(1+/,s)ஹN(4T,s)`ᙠᱥ,y=ax2+bx+c1.,ᑣj4ax?+bx+c=0ᨵD᪷m!.15.᝞/(1)ᡠEmkABCDḄ_ADKbbPஹQbBbP(ᢚ,BE-ED-DCᑮbC[¡bQ(BCᑮbC[¡¢2Ḅ;`01cm/£¤PஹQt£4BPQḄ☢xmycm?,9:y5tḄ6ᦪᐵZ/8᝞/(2),¥t=AABE5ABQP¦§.16.᝞/E,F0ijkABCDḄ_ADKDb¨©AE=DF.ª«CF¬BD{G,ª«BE¬AG{bH.PijkḄ_lm2,ᑣ,DHl;Ḅᨬ®0.ஹ#$⚪(ᐳ72ᑖ5ᑏ>?@)25⚓/51⚓

2517.(1)ej4f(2x7)2=x(3x+2)-7¯஺2a—\a-4(2)ᐜᓄ²³´®(------)+---ᐸ[a=V2-1.ci~+2஺6T+4Q+4஺+218.᝞/ᙠ_lm6Ḅijk48CD[E0_CDḄ[b·¸/£>£■(NE¼ᢚ½¸¾¿£,ÀÁ¬BC{bG,ª«/G.(1)´Âf¸Z5Gøᨴ¿G¯19.mÅÆ□ᐝÉÊ"ᜧÍÎ"ᡃÐÑ[ÒÓÔᙠᐜÕ[Ö¤Afpᳫ.BfØÔÙÚCfÙÛDfÜÝÞß⚗á.mââeᐜÕ¼Þß⚗áḄãäåæçèéêâwᑖᐜÕëÆìíî·ìíïyðᑴᡂ᝞/জঝḄóg/.ô/[Ḅõöe÷=ᑡᡂøf(1)ᙠ⚗ìí[ᐳìíâúûüᐜÕý(2)ôghþ⚗ìí[ãä"ØÔÙÚ"ḄᐜÕÿᦪᡠᓰᑖ⊡ᐙ(3)ᑮ""Ḅ5ᐜ!ᨵ3ᵱ2᝕.&'(5ᐜ!)*+,2ᐜ.-ᵨ/᪛1ᡈᑡ⊤Ḅ56789:+ᑮ;ឋ=ᐜḄᭆ᳛.2τ?20.@AᐵCxḄ5Dx2-(m+3)x+"=0.4(1)5DᨵE᪷7EᦪmḄ,GI.(2)5DE᪷ᑖ=KXIஹX2MNOxF+X22=|X|X2|+P,7EᦪmḄG.21.᝞ᡠSTU⚜ᜓXYZ᪥\ᩚḄ^_`a&bᚁdeḼg□i\ᩚABjkា:mᙠD_ᙢ☢BCbᚁᚁ☢CDqXr\ᩚᙠD_ᙢ☢qḄjsBC=20m,ᙠbᚁᚁ☢qḄjsCD=8m,g□ᐝuADvD_ᙢ☢ᡂ30°xMg□ᐝuADvbᚁᚁ☢CDyzᚖ|,}26⚓/51⚓

26-TU78\ᩚABḄ^_.(ᑮ1m)22.᝞@AᙠAABP!CBPqZPAC=ZPBA,஺஺AABCḄ᜜ᙊAD஺0Ḅ|MBPCE.(1)7PA00Ḅᑗu(2)CCF_LAD,ᚖOKF,CFABCG,AGAB=12,7ACḄs(3)ᙠNO(2)ḄᩩAFFD=12,GF=1,7஺஺Ḅsin/ACEḄG.23.Kᜧᐜ¡¢ᡃ¤8¥¦zᐵ§¨ᵫ§ª«¬¤ᢥᡂ¬¯°±²³´µ¶¡ᡂ¬¯v·¸Ḅ¹¯ᵫ§ªº».¼½ᢥ᯿zᐵ§¨¬¤²Ḅ¿ÀÁ“ÃÄÅᐹ'’.@A(¿“ÃÄÅᐹ'’Ḅᡂ¬¯KÉ10ᐗ,KÉ12ᐗ,ÉᨴYy()vᓫ¯x(ᐗ)·¸ḄᐵÎÏÐNOÑᦪy=—10x+500.(1)¼½ᙠÒÓ¢Ḅᨴᓫ¯ÔK20ᐗÕÖ§ª(ᨴK`º»Ḅ¹¯K×ØᐗÙ(2)Ú¼½ÛrḄᑭÝKW(ᐗ)Þᓫ¯ÔK×ØᐗiÉᨴßÛrᑭÝÙ(3)ᱥ¯áâãÔ(¿“ÃÄÅᐹ”Ḅᓫ¯år^C28ᐗ.᝞æ¼½ç⌕ÉᨴÛrḄᑭÝåéC3000ᐗÕÖ§ªK`º»Ḅ¹¯ᨬØK×ØᐗÙ24.᝞|uABxëCB(210),yëCA(0,2),|uDM_LxëdëCM,uìABCC,DM=3,íDA,ZDAC=90°.(1)7|uABḄî᪆ð.(2)7Dᙶ᪗OஹDஹBóḄôᱥuî᪆ð.(3)PuìOBqḄõPxëḄᚖuABCF,(2)!ôᱥuCE,íCE,öᔲøᙠPùABPFvAFCEúÐÙøᙠ-78Pᙶ᪗åøᙠ▊üᳮᵫ.}27⚓/51⚓

27}28⚓/51⚓

282022-2023ᜩὃᦪ⚗ᓣ⚪ஹ⌱⌱1.ᑡÿḄA.m2+m2=m4B.m+—2=m2+—rnm~mC.3mn22=6m2n4D.2m2=2mn2nூᫀ௃Dூ௃⚪᪆•.•2+„j2=2஻R⌱⚗A┯":V|w+—j=஻/+,+2,••.⌱⚗B┯"-\mJm~'3஻”02_.♦.⌱⚗C┯"%=2m஻2,.♦.⌱⚗D.nᦑ⌱D.2.6789:;<Ḅᵨᵯ?@,ABCD9:10ᡝ;

29_40+50x3+55x2+60x4..»*lx=------------------------------=54,^_610s1=m[(40-54)2+3x(50-54)2+2x(55-54)2+4x(60-54)[=39,noC┯".ᦑ⌱CὃqᦪdḄᑖ᪆3.᝞sᡠuḄvwxᵫz{|^x}ᔠᡂḄḄs11.ூᫀ௃Cூ௃⚪ᑖ᪆ᑡ{|^iᑡ{|^ᦑ⌱C.ὃqᓫ}ᔠxḄs.x04.ᐵTXḄᑖ^——=஺ᑣ26()X+1A.1B.-1C.±1D.0ூᫀ௃Cூᑖ᪆௃ᑖ^ᒹ᦮^ᑖ^ᨵ᪷.ூ௃ᙠ^(x+1)x-a=a(x+l),᦮ᳮx(l-a)=2a,l-a=0¡ᓽa=l,᦮^ᑣᑖ^i30⚓/k51⚓

30x,ᵨ-=-1¡ᑖ^l-a=O¡§\-a\-aa=T,ᦑ⌱C.o⚪ὃIᑖ^Ḅ⚪ᐵ«ᙠT¬®Zᑣ5.°±஻/2,ᙽ30஺´Ḅµ´´¶᝞sᡠu·¸Zl=25°,ᑣ/2»TB.35°C.40°D.45°ூᫀ௃Bூᑖ᪆௃ᐜ᪷d´᜜´ḄឋÀÁÂN3ḄWᦪÄᵫ`G°ḄឋÀÂ/4ḄWᦪᵫµ´´ḄឋÀᓽgÂÅ.ூ௃•••N34ADGḄ᜜´/.Z3=ZA+Zl=300+25°=55°,.Z3=Z4=55°,Z4+ZEFC=90°,Z.ZEFC=90°-55°=35°,Z2=35°.ᦑ⌱B.Ê⚪ὃIḄ`G°ḄឋÀ´᜜´ḄឋÀᵨᑮḄhÌq6µ°`GV´Í».6.᝞sᙠÏZ08C[qÑḄᙶ᪗-2,1,q஺ḄÔᙶ᪗4,ᑣ8ஹCqḄᙶ᪗6i31⚓/k51⚓

313ஹ1B.3ஹ,42322772±77.IC.ߟ,ஹ-,4D.-,-ஹ,4423422ூᫀ௃Bூᑖ᪆௃ᐜÙqÑÚ4஺ÛTq஺Ùq6ÚÛTqÙq஺ÚCF஻ÜÛÙq4Ú4/஻xÛ86F,᧕:ACAFqABOE,AAOD^AOBE,ᯠÞᵫßà´ḄCáᡂâãÁᫀ.ூ௃᝞sÙqÑÚÛTq஺Ùq8ÚÛTqE,ÙqCÚ஺0஻ÜÛÙqÑÚÑÛäq6åæç஺äxÛTq”••è408cÏ,.AC//OB,AC=0B,.NCAF=/BOE=NCHO,ᙠêÑC77ëê08E[/F=/BEO=9஺஺

32VZADO=ZOEB=90°,:.AAODsAOBE,ADODOEBE-316B(-,3),23.AF=OE=-,231•q஺Ḅíᙶ᪗6(2)=--»22.•.qC(-L,4).2ᦑ⌱B.o⚪ὃI7ÏḄឋÀஹᐰ»´ḄᑨñòឋÀßà´ḄᑨñòឋÀ.o⚪ᶇe¬ôõ°ḄÚZᶇe¬ᦪö÷Ḅ®ᵨ.7.᝞sᙠAABC[ZBAC=90°,AB=AC,qD6ACḄ[qDE±BCTqE,øùBD,ᑣtan/DBCḄú6()A.-B.D-IC.2-ûD.—ூᫀ௃Aூ௃⚪ᑖ᪆ᙠêABC[ZBAC=RtZ,AB=AC,AZABC=ZC=45°,BC=&AC,ü♦.•qD6ACḄ[q-.AD=DC=—AC,VDE1BCTqE,AZCDE=ZC=45",2i33⚓/k51⚓

336•JACDE41/.DE=EC=—DC=—AC,:.tanNDBC=------=-----------------T=-------ᦑ⌱A.24BE^AC-^AC34ὃq1.µ´´-2.»Ὺµ´´.k8.᝞sþhqAᙠÿᦪy=—(x<0)RSABC,DACḄxDByE,ABCEḄ☢8,ᑣkḄ()D.20ூᫀ௃Cூ#$௃%⚪$᪆((ABCEḄ☢8,:.~BCOE=S,2BCOE=16,•.•஺ZCḄBD=DC,.ZDBC=ZDCB=Z.EBO,,ZEOB=NABC,:.AEOBSDBC,.BCAB"~OB~~OE'ABOB=BCOE:.k=ABBO=BCOE=l6,ᦑ⌱C.9.ᕜ0123456789:;ᑮ=᜜?@78:;0.51ABᑮCᵬᙢ@FGHIJBᢥLMNOPᙢ12Q811A20ᑖSBᝤᝤU6VWXYZNOPᙢ.᝞\]^Q8ḄY_y(km)`12Q8IJx(h)Ḅᦪ\abcᝤᝤU6Md12Ḅ3e.f34⚓/i51⚓

34jᑡlḄᨵ()nজ1236ḄMd20km/h,ᙠᵬᙢ@F11A7ঝ1278:;G1ABzᝤᝤ{4ঞᝤᝤ{12AQ825ᓟটᝤᝤ1210ᑖSᑮCPᙢᑣ78ᑮPᙢ30km.D.4ூᑖ᪆௃᪷Md=Y_GIJ:1236ḄMdᵫ`x5ḄZHḄᙶ᪗c12ᙠᵬᙢF0.51Aᦑজᡂ᪷12ḄMd:ᝤMdᝤᝤ:;ḄIJ:A12Q8ḄY_ᵫIJ=Y_+Mdᓽcᝤᝤ{12ḄIJᝤᝤ:;ḄIJ:ঝᡂᵫᝤᝤ{12ḄIJᝤMd:ᝤᝤ{12AQ8ḄQ7:ঞᡂiY_S,᪷7W⍗ᑮᑮC¢ᝤᝤ12£ᵨ10ᑖSᓽᑡ:ᐵSḄGᐗ§_$§_:Sᓽᑨ©:টᡂ.☢ᔜ«¬c«¬.ூ#$௃$:1236Md10-0.5=20(km/h),1-0.5=0.5(h),ᓽজᡂᝤᝤU6ḄMd20x3=60(km/h),ᝤᝤ:;A12Q8ḄY_10+((-1)x20=/km,ᝤᝤ{12◤ḄIJ±ᓝ(60-20)=2஻,457A12Q8IJG+—=—(h),ᓽঝᡂ;3124f35⚓/i51⚓

35ᝤᝤ{12AQ8ḄQ60x¶=25(km),ঞᡂ;1210ᑖS=—1A,6iY_S,ᵫ⚪·c:S-25S-25160206$(S=30.78ᑮPᙢḄQ30km,টᡂ.ᦑ⌱C.¸⚪ὃºᦪḄ»ᵨ$⚪Ḅᐵ¼\½ᑭᵨᔜᦪ¿ÀḄᐵÁ:Âc¿Ã`4nlÄÅ5Æ.¸⚪ÇÈẠ⚪ÊdᜧᜐᳮÎ⚪Ï᪗⚪A\½ᐵ¼.10.ᙠ☢ÐÑᙶ᪗ÁxOyRtAOAiCnRQOA2c2ஹRsOA3c3ஹRsOA4c4…Ôᙠᙶ᪗NAQCÕNA20c2=NAQC3…=30°,AiḄᙶ᪗(3,0),OA=OC,OA=OC3,I22OA3=OC4…ᑣÖ×ØOA2016ḄÙ()2014C.3x(-y/3)2015D.3x(-G)222016ூᫀ௃Cூ#$௃%⚪$᪆((ZA2OC2=30°,04=OC2=3,.•.O4=2OC,=3XÚ;■V323Ûᳮ(O4=࠷3=3xÝ,f36⚓/i51⚓

36ᦑ⌱c.ß(¸⚪ὃº×ØÏḄᙶ᪗(àá7GâḄḄᙶ᪗;ãäḄ⌕æᡈᢥ×ØäᓄḄ⌕æᯠBê5ᑮëìíî.ïὃºð30dḄÐѱѽ±ḄᐵÁ.ஹ⚪(3,×6=18,)11.ñòᑖ$:9bx2y-by3=_.ூᫀ௃by(3x+y)(3x-y)ூ#$௃%⚪$᪆(Lò=᝞(9÷2GV)=ᑴ(3x+y)(3x—y).ᦑᫀ᝞(3x+y)(3x-y).12.ú|3-V121+(2016-72)0-3tan30°=____.ூᫀ௃6-2.ூ௃⚪᪆=2—3+1—3x@=Ji—2.3ᦑᫀJJ-2.13.᝞!.ᙠ#$ABCDḄ*+3,-Aᙊ/02123ᙊ4.-Dᙊ/03123ᙊ4.5!6ᨩ89ᑖḄ☢<ᑖS|ஹS.ᑣSAS2=______.2B37⚓/F51⚓

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38ট5#ᑁ2++C=0l᪷#©ªPf«al+/,sbஹNa4-Z,sb¯ᙠ°ᱥ²y=cue2+bx+cs0ᑣ#ax?+hx+c=0´ᨵ`᪷஺.3ூᫀ௃ঝঞট.ூ௃⚪᪆জ#f—x—2=0·¸=2,x=-b2#/`Xߟ2=0»l᪷#0ᦑজ┯½¾ঝa¿-2Ànx+஻b=0l᪷#,¿=2,x,2...n+஻=0,4m+஻=0,,/4m2+5n஻+஻2=a4n+஻ban+஻b=0,ᦑঝ¾ঞ•fa᜛Ãbᙠᦪy`Ḅ!Ås0X.pq=2,#pi+3x+q=0::X=---0x=---/2PP/.x=2xᦑঞ;2eট•#ax?++c=0l᪷#0/.È¿=2X,2:©ªPf«al+f0Sb0NK4-t,sb¯ᙠ°ᱥ²y=o%2+6x+cs0.j,,„,.,,.,x,+x,1+Z+4-/5:.°ᱥ²ḄÌÍx=Î_Q=---------=222/.x+x-5,{2x+2X=5,22x=—,ᦑট.23ᦑᫀঝঞট.15.᝞!a1bᡠÐ0EÒ$ABCDḄ*ADs`f0ÓfPஹQvÖ×fBJØ0fPÙᢚ²BE-ED-DCÛÓᑮfCÖ6Ý0fQÙBCÛÓᑮfCÖ6Ý0ÞßÛÓḄàá¯l1cm/B39⚓/F51⚓

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42••£=C஺Ḅ0:CE=EF=DE=3,**.£G=x+3/[.32+(6—X)2=*+3)2,X=2,.BG=2.19.=Àz□ᐝÃÄ"ᜧÆÇ"ᡃÉÊ08˹ᙠᐜÌ0ÍÎAÏÐᳫ.BÒ¹ÓÔCÓÕDÖ×¼Ø⚗Ú.=ÛÛᐜ̼Ø⚗ÚḄÜÝÞßàáâãÛäᑖᐜÌyzå,,æå,çèᑴᡂ᝞জঝḄì.í0ḄîïKðᑡᡂ3ò1óᙠô⚗å,0ᐳå,Ûõö÷ᐜÌøò2óíQ*⚗å,0ÜÝ"Ò¹ÓÔ"ḄᐜÌùᦪ9ᡠᓰûᑖüæýþì⊡ᐙ3ᑮ""Ḅ5ᐜᨵ3ᵱ2᝕.5ᐜ!"2ᐜ.#ᵨ%᪛'(ᡈᑡ⊤Ḅ,-./01!ᑮ2ឋ4ᐜḄᭆ᳛.ூ89:ᫀ௃1ᙠ⚗ᐳA150ᐜ;2E⚗"FGH"ḄᐜIᦪK45IᡠᓰOᑖQK30%,(TUV᪆;301!ᑮ2ឋ4ᐜḄᭆ᳛Kg.ூYV௃Z⚪ᑖ᪆\1ᵨAḄIᦪ◀_ᡠᓰḄOᑖQᓽa./Ḅᐜᦪ2ᵨ!ḄbIᦪcdAஹCஹDḄIᦪ./“FGH"ḄᐜIᦪi◀_jḄᐜᦪ./ᡠᓰḄOᑖQi%(ᓽa3ᵨA⊤kᵱB⊤k᝕%/᪛T(i᪷nᭆ᳛opqrstᓽa.Z⚪V᪆\1᪷n⚪u\154-10%=150.x43⚓/b51⚓

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455E=SC+C£=20+16=36,'2஺஺=᰿AB^=36-tan30°=36x^=12V3«20.3ᩚ20m.!"ᩚḄ#$20%.'"()*ᡂ,-ᓄ/01213Ḅᦪ5ᡂ,6789:;᪀⌼01213>?ᩩABᡂ,-ᓄᑮDE01213Fᡂ,ᜐᳮ.22.᝞IJᙠAABPC$BPKLMZPAC=ZPBA,஺஺$AABCḄ᜜OᙊAD$00Ḅ0QRBPE.1ST"PA$஺OḄᑗV28C9CF_LAD,ᚖX/F,CFABG,YAGAB=12,SACḄZV3ᙠ[X\2ḄᩩA]YAF"FD=1"2,GF=1,S0OḄ^Q_sinNACEḄ`.ூbc!ᫀ௃\1Tfgh᪆V\22X;\3ᙊḄ^Q/3Vj.ூkh௃ᑖ᪆"\1᪷nᙊᕜ1pᳮqrNACD=90஺s_ᑭᵨZPAC=ZPBAqrZCAD+ZPAC=90஺vwqr!ᫀV2✌ᐜqrACAGSABAC,vwqrAC?=/G./5SrACᓽ6V3ᐜSrAFḄZ᪷n{|pᳮq"AG=y/AF2+GF2-ᓽ6qrsin/ADB=|~ᑭᵨNACE=NACB=NADB,Srᓽ6.⚪h᪆"\1Tf"OCD,46⚓/51⚓

46"AD$஺0Ḅ0QZACD=90°AZCAD+ZADC=90°..../PACn/PBA,ZADC=ZPBA,AZPAC=ZADC.AZCAD+ZPAC=90°APAlOA."AD$OOḄ0QV.PA$஺஺Ḅᑗ.(2)ᵫ(1)JPA1AD,"CF_LAD,CF஻PA.ZGCA=ZPAC..../PACM/PBA,.,.ZGCA=ZPBA.rACAG,"NCAG=NBAC,.*.CAG^AABAC.—=——nᓽnACJ^AB.ABACVAG«AB=12,.*.AC2=12..,.AC=2A/3.(3)AF=x,VAF"FD=1"2,AFD=2x.AD=AF+FD=3x.ᙠRtZiACDVCF±AD,/.AC2=AF«AD,ᓽ3x?=12.hqVx=2V.AF=2,AD=6.஺஺^Q/3.ᙠRtAAFG,VAF=2,GF=1,...᪷n{|pᳮq"AG=y/AF2+GF2=V22+l2=75ᵫ(2)JAG«AB=12=—=AG5OBD,"AD$00Ḅ0Q/ABD=90஺.,,AB12V52V5ᙠRtZkABDVsinZADB=——AD=6,,45=.-.sinZADB=—.AD55VZACE=ZACB=ZADB,.".sinZACE=—.523./ᜧᐜᡃrᐵ"ᵫᢥᡂ¡¢£¤¥¦§ᡂ¨©ªḄ«ᵫ¬.®¯ᢥ᯿ᐵ£ḄM±²³“µ¶·ᐹ”.IJD±“µ¶·ᐹ”Ḅᡂ/ºA10ᐗ,/ºA12ᐗ,ºᨴ½y(A)¨ᓫx(ᐗ)©ªḄᐵÀÁÂ[XÃᦪ"y=—10x+500.47⚓/51⚓

47(1)®¯ᙠÅÆḄEᨴ(ᓫp/20ᐗÉÊDEᨴ/ˬḄ«/ÌÍᐗÎ(2)®¯ÏqḄᑭÐ/W(ᐗ)Òᓫp/ÌÍᐗÓºᨴ6ÏqᑭÐÎ(3)ᱥÖ×ØpD±“µ¶·ᐹ'’ḄᓫÛq28ᐗ.᝞Ü®¯Ý⌕ºᨴÏqḄᑭÐÛß3000ᐗÉÊ/ˬḄ«ᨬÍ/ÌÍᐗÎூbc!ᫀ௃(1)DEᨴ/ˬḄ«/600ᐗV(2)Òᓫp/30ᐗÓºᨴ6ÏqᑭÐ4000ᐗV(3)ᓫp/28ᐗÓºEᨴ/ˬḄ«ᨬÍ/440ᐗ.ூᑖ᪆௃(1)Sr½᪷nºA⊡ä2ᐗᓽ6ᜐᳮᡂ,.(2)ᑭᵨåÃᦪḄឋçᓽ6h!ᡂ,.(3)᪷nᩩAcprè½Ḅé`ëSryḄᨬí`ᓽ6ᜐᳮᡂ,.ூkh௃(1)Òx=20Ó,y=-10x+500=-10X20+500=300,300X(12-10)=300X2=600ᐗ,ᓽDEᨴ/ˬḄ«/600ᐗV(2)ᵫ⚪òq"%(x-10)(-10x+500)=-10X2+600X-5000=-10(x-30)2+4000.'a=-10<0,...Òx=30Óõᨵ`4000ᐗ.ᓽÒᓫp/30ᐗÓºᨴ6ÏqᑭÐ4000ᐗV(3)ᵫ⚪òq"-10x2+600x-5000=3000,hq:ø=20,x=40.2'a=-10<0,ùᱥÅúᔣ],.•.Ò204W40Ó,3000^x^4000.YXW28,...Ò204W28Ów3000,ᨴḄpᐗ.p=(12-10)X(-lOx+500)=-20x+1000.$-20<0..p&xḄ'ᜧ)*+,-28/pᨵᨬ+2440ᐗ.ᓽᓫ628ᐗ/ᨴḄᨬ7440ᐗ.8⚪ὃ;<=>?ᦪḄAᵨC⚪ḄᐵEFᳮC⚪HIJ᪀L=>?ᦪᜐᳮᨬ2ᡂOIJᑭᵨ?ᦪḄ'*ឋᜐᳮRSᡂOTḄᨬ2ᡂOUVTὃWὃ⚪X.24.᝞Z[\AB_x`VaB(2,0),_y`VaA(0,2),[\DMLx`fg`VaM,_\hABVaC,DM=3,jkDA,ZDAC=90°.(1)o[\ABḄC᪆q.(2)oDaᙶ᪗tu0ஹDஹBwaḄxᱥ\C᪆q.(3)zaPF\hOB|Ḅ}auaP~x`Ḅᚖ\_ABVF,_(2)Txᱥ\VE,jCE,ᔲᙠPABPFAFCEzᙠoPaᙶ᪗zᙠ▊ᳮᵫ.48⚓/51⚓

48ூfᫀ௃1[\ABḄC᪆qy=-x+22Daᙶ᪗F1,3,xᱥ\ḄC᪆qy=-3xx-23P-,03-^,஺ᡈ,0.333ூC௃⚪ᑖ᪆¡1᪷£¤6¥ᦪ¦§¨?ᦪC᪆q;2᪷£ªῪ[¬w¬Ḅᑨ6ឋ¯§¨Zaᙶ᪗᪷£¤6¥ᦪ¦§¨?ᦪC᪆q;3᪷£w¬Ḅᑨ6ឋ¯§¨Eaᙶ᪗᪷£aḄᙶ᪗°±?ᦪC᪆q§¨Eaᙶ᪗§¨Paᙶ᪗.⚪C᪆¡1[\Z8ḄC᪆q²A.2aᙶ᪗³ᐭ?ᦪC᪆q¨h=2k=-107LAC¨2¶+b=0,b=2,[\ABḄC᪆q=-ᵪ2•OA=OB=2,49⚓/51⚓

49...¹048FªῪ[¬w¬.'AD^AB,ZDAG=900-N0AB=45°,ᓽ¹/1OGFªῪ[¬w¬.DG=AG=OG-OA=DM-OA=2>-2=\,=஺aᙶ᪗F(1,3)xᱥ\ḄC᪆qy=«x(x-2),²஺aᙶ᪗³ᐭ¨ᡝ”([-2)=3,C¨஺=-3,xᱥ\ḄC᪆q¿-3x(x-2)(3)ᵫ(2)¨NP8E=45°,ᑣNCFE=N8EP=45°,-(x,0),MP=x-1,PB=2-x,জ,NECF=NBPF=90°Z,[BPFsAFCE,uC~CHLEF,CH=LEF,ᓽEF=2CH=MP,2PE=PF+EF=BP+2MP=2-x+2(jc-l)=x,ᓽE(xÃ.²Eaᙶ᪗³ᐭxᱥ\¨x=-3x(x-2)»x,=",ᓽP20)C¨ᑁ=0(Æᔠ⚪HÈ)33ঝ᝞Z2,\Dojp,MX^2,NCEE=N8PE=90°/[CEFஹ¹8PFªῪ[¬w¬PE=MC=\,²Eaᙶ᪗³ᐭ?ᦪC᪆q¨-3x(x-2)=l,C¨Ì=Í5,஽=Í50⚓/51⚓

50Ð/Pwᓛ,0ᡈÒÓ,0,Ô|ᡠÖ¡-g,0=FoᡈØÓ,0,51⚓/51⚓

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