2022-2023学年山东省菏泽市中考数学专项提升仿真模拟卷（二模三模）含解析

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2022-2023
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Ḅ.(2)BE,NB/C=30஺CE=\,BEḄ.17.ᙠᓝᐰᐰᐰ!"#ᐵ%&'()ᜧ+ᐵ%Ḅ,ᐵ%Ḅ-⚪ᑖ0ᨵ234ஹᦟ7ஹ89ஹ:ῖஹ<ᐸ>ᐳ@ABᐵ%@AC⚪ḄḄDᦪᡠᓰHᑖI᝞K/ᡠMᐵ%N@AC⚪ḄDᦪḄOᨵP᦮ᩩSTU᝞K2ᡠ(I)VK/ᐵ%“:ῖ”AC⚪ḄᡠᓰHᑖIxḄYZ[K2ḄOᨵP᦮ḄᩩSTUK⊡ᐙP᦮^(2)_`aᐭcd!"#⍸fᡂhi5jk⊤ᵬஹnஹoஹpஹqrstuBtuv⌱2jk⊤f
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419.᝞Kᙠ£☢°¥ᙶ᪗Á°/¡xÃÄÅÆM(3,0),¡yÃÄÅÆN(0,4),/_A/NḄ:IÎÏᦪy="(x>0)ḄKÓ«4x(I)°/:IÎÏᦪḄÕ᪆×^(2)ᙠÏᦪy=Ù%>0)ḄKÓ±ÛÜÆÝḄÞC,!C8J_xÃÆ8,0cÅ°/ÆxP,åONPḄ☢çåOBC☢çḄ3éêḄᙶ᪗.20.᝞K1,ëῪå49C/C=8C,஺ᙠí±îO_ᙊðḄᙊC,4B!ஹD,Eê_஺஺Ḅ°òM_L8CÆG,B஺RḄ.(1)ö2NC஺஺Ḅᑗ^(2)᝞K2,øC8Å஺஺Æ“/TOÅOEÆêCRö2CF=DO+OP&úஹûü⚪(ýᜧ⚪ᐳ5⚪þ⚪4ᑖᐳ20ᑖ)21.ÿᐵXḄᐗX2-nx+2"7-1=0Ḅ᪷XIஹX2X/+X22=14,ᑣ!=____.22.᝞%ᵫ'P(14,1),A(a,0),8(0,a)(0

5BO323.᝞%ᙠ=>ᙶ᪗AB஺4ḄᙊEḄᙶ᪗5F-2,0,GH52,'P5=Iy=--x+64JḄK'L'MN஺/ḄᑗIᑗ'5஺ᑣᑗIPM0ḄᨬR6S.0HGIS4TᐰVḄVῪX>YZ[BC,CE,EG,GIᙠ\ᩩ=IJ^AB=2,BC=1._`AI,aFG'Q,bU25.᝞%cdYABCDḄ[PS஺஺GHḄ4eᙊE஺SdYABCDḄfgᱏᢥ%jkᢚmnEAាpq஺஺rᑗ'AᑣtanNAfEḄ65_____.sஹtu⚪Fwᜧ⚪ᐳ3R⚪ᐳ30ᑖ{76⚓/:60⚓

626.|}~ᖪᡂwᓟ40ᐗ/ᓟᨵᡂw^ᨵ80ᐗ,~ᜩḄyFᓟ{qᓟxFᐗ{ᦪᐵAᑖᦪ᝞⊤XFᐗ/ᓟ506070{yFᓟ{1008060F1{yqxḄᦪ⊤kF2{ᖪᜩḄ:ᑭ5¡Fᐗ{ᑣ¢x/5£¤ᐗ¥ᔆᖪᜩ§¨©ᑭªᑭS£¤ªF3{᝞¬}~⌕¨©ᜩᨵ1350ᐗḄᑭ^®ᔠ}~°±Ḅ/²³´ᖪᓟḄµ6·S£¤ª¸¹ºᳮᵫ.27.᝞%cTX>Ygᱏ4C8,ᐸBN/CB=90஺AC=8,SC=6,EஹMᑖÀS4Cஹ[JḄ'_`EEF1{᝞%1,ÂfgᱏXC5Ḅ>Ã■ᢚmᢚmÅ'/Æᙠ48[JḄ'஺ᜐ^nÈÉÊ=453ᓽᡭḄPF2{᝞%2,ÂfgᱏACBḄ>ÃEFᢚmᢚmÅ'ᨴÆᙠ8c[JḄ'Mᜐ^nMF//CA.জÑᑨÓÔ[Y4EA/FḄY×ØÙºÚḄÛÜঝEFḄP8AFF3{᝞%3,Â"EḄÞPIq8cḄÞPIa'N,CN=2,CE=-,Ḅ6.7BF21028.᝞%=Iy=-§x+4qxàa'C,q᜛àa'8,âᱥIy=ax2+§x+c8ஹC'.77⚓/:60⚓

7vyᜓᵨ!(1)âᱥIḄt᪆k;(2)᝞%'ES=I8CJâᱥIJḄK'¢05EC☢4¥¸æ'EḄᙶ᪗;(3)ᙠF2{ḄÛÜL'ENyàḄçèIa=I3C'"_`'0SâᱥIéêàJḄK'ᙠâᱥIJSᔲìᙠ'P,n©1Mஹ0ஹ4ஹ/5⚔'ḄÔ[YSçèÔ[Yª᝞¬ìᙠ¸=`ᑏæ'MḄᙶ᪗᝞¬ᨵìᙠ¸¹ºᳮᵫ.78⚓/:60⚓

82022-2023
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!Ḅ2᪵ᜧ5.ὃ08.3.+ᑡ:ḄA.;<=>?Ḅ@A!!B9⚓/E60⚓

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8ᚖOḄ!!D.QᑖRḄOSᚖOTRூᫀ௃Cூ௃⚪᪆Aஹ;<=>?ḄQW@A!X!ᦑ┯[\Bஹᨵ1AIᜳ<;J>?Ḅ1
8ᚖOḄ!!\Dஹ1ᩩOS_M>Qᑖ`aᨵ_ᚖO┯[\ᦑ⌱C.4.dᔆᨴghiij50mnᑜpஹ8ᨴgᐳhiij120mtpஹ8ᨴgQᙳvᨴw᳛x,᪷%⚪{'ᑡ|}()A.50(1+X)2=60B.50(l+x)2=120C.50+50(1+)+50(1+X)2=120XD.50(l+x)+50(l+)2=120xூᫀ௃Dூ௃tpஹ8ᨴgvᨴḄQᙳw᳛x,ᑣpᨴghiᘤ50(I+x),8ᨴghiᘤ5()(1+x)2\pஹ8ᨴgᐳhi120m\ᡠ'ᑡ}50(1+x)+50(1+x)2=120.ᦑ⌱D.5.ᦪy=Ḅ8■xḄ()A.x>3B.x<3C.x>3D.x<3ூᫀ௃Dூ௃⚪᪆᪷%p᪷ᨵ{Ḅᩩ'(3—x>0,(x<3.B10⚓/E60⚓

10ᦑ⌱D.0p᪷ᨵ{Ḅᩩ¡¢ᦪᜧTᡈ?T¤.6.᝞AB஺OḄᑗ=Bᑗ0AO©OOªT0C,«NBAO=40°,ᑣ/OCBḄ®ᦪA.40°B.50°C.65°D.75°ூᫀ௃Cூ௃AB஺OḄᑗ=,/.AB1OA,ᓽNOBA=90°.VZBAO=40°,,ZBOA=50°.VOB=OC,ZOCB=1(1800-ZBOA)=1(180°-50°)=65°.ᦑ⌱C.7.;T¶ᱥ=y=(x-l>+2Ḅ:¸┯[Ḅ()A.¶ᱥ=Ḅ¢¹ᔣ)B.¶ᱥ=Ḅ⚔0ᙶ᪗(1,2)C.¶ᱥ=©ᜧ¾¿ª0D.Àx=4^/7)2+)⚔0ᙶ᪗(Æ,᝕)...pᦪy=(x-l/+2ḄÈḄ⚔0ᙶ᪗(1,2).:¶ᱥ=⚔0(1,2).¢¹ᔣ).•.¶ᱥ=©x¾aᨵª0Àx

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MB=S&ABC~4Ã&”B=Ú,\Û=4,,/k<0,k=-8.ᦑ⌱D.B12⚓/E60⚓

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185180185180ï3.63.67.48.1᪷%⊤ᦪ%ðñ⌱òäᡂîó-ôᢵö_Ḅ÷ø.íJù⌱ò×A.ᵬB.áC.âD.7ூᫀ௃Aூᑖ᪆௃✌ᐜ.üQᙳᦪQᙳᦪ>ýÁ⌱òïü5Ḅçèᕒ÷ø.ூ௃þ=Xâு
=X,...ᵬ⌱Sj=S2Vs"

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14ூa&௃⚪&᪆V8C=xm,,ᚁABḄᚁc1:3,AC-3x,ᵫ¥¦2ᳮ/+(3x)2=1()2,&x=JidᦑMᫀc®¯°Vᚁ±)ᚁ☢Ḅᚖ´-µ¶·.13.᝞4ᙠ¹/BCDNC=43°,»¯஺½/஺Ḅᚖ¾4B!E,¿CBḄÀ¾¯Áᑣ/8EFḄᦪc.ூa&௃⚪&᪆V•••Ã7848CQ)ÅÃ78ZA=NC=43°.,/DF1AD,NADE=90°,ZAED=90°-43°=47°,/.NBEF=AAED=47°.ᦑ47°.¯°VÅÃ78ḄឋpVÅÃ78ḄXZ;[.14.᝞4஺E)´Èᙠᙢ☢ÊḄ᪷ÈË45=5ÍÎÏÐc8ᙠ□ᐝ?ḄᢗÔ8c=3ÍᙠÕÖ48ḄᢗÔÏ×ÏÕÖ஺Eᙠ□ᐝ?ḄᢗÔc6ÍᑣDEḄcDAB_,CE஻.5.஻,ூ5+Mᫀ௃10mE15⚓/G60⚓

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ᓽ.⚪᪆1=—1—4x+—3,2=-1-26+2-3,=-4;16⚓/!60⚓

16(2)2(x-2)2=X2-4,(x-2)(2x-4-x-2)=0,(x-2)(x-6)=0,x-2=0ᡈx-6=0,&X]=2,x=6.216.᝞*+ᙠRtZUBC3+NXC8=90஺+஺84639+AE//CD,CE//AB.(1)ᑨ;<=>/OCEḄ>B+CDEFḄGH.(2)IJ3E,K/A4c=30஺+CE=\,N8EḄO.ூQRSᫀ௃1V᪆W273ூᑖ᪆௃1✌ᐜᑨ\<=>/OCE]^_<=>+ᯠaᵫcded>f=gḄ3hḄឋjᑨ\k^_<=>Ḅl=mn+ᓽD&<=>ADCE]o>.2ᐜNpN4E8Ḅqᦪ+ᯠaᵨtu\ᳮNᓽ.ூw௃1'.,AE//CD,CE//AB,<=>NDCE]^_<=>+,•*N/C8=90஺+஺8Ḅ39+CD=—AB=AD,2<=>ZOCE8o>W2VZSJC=30°,<=>ADCE8o>+/.NBAE=60°=ADCE,WN4CB=90஺+W.NDBC=60஺++NDCB=60°,17⚓/!60⚓

17/.ZBCE=nQ0,=,:BC=CD=CE,/.NCBE=30°,AABE=30°,•••N8E3+ZAEB=90஺,=/AE=CE=1,AB=2,•<-BE=dAB?-AE?=?.9ᨵl=mnḄ^_<=>]o>.17.+ᙠᓝᐰ3ᐰa+ᐰᐵq+ᜧᐵḄᐵḄ⚪ᑖᨵ¡¢ஹᦟ¥ஹ¦§ஹ¨ῖஹªᐸ¬ᐳ®¯+°ᐵ®¯±⚪ḄḄ²ᦪᡠᓰᑖµ᝞*/ᡠ¶+ᐵk®¯±⚪Ḅ²ᦪḄ·ᨵ¸᦮ᩩ>»¼᝞*2ᡠ(1)Np*/3ᐵ“¨ῖ”¯±⚪ḄᡠᓰᑖµxḄ¿+CÀ*23Ḅ·ᨵ¸᦮Ḅᩩ>»¼*⊡ᐙ¸᦮W(2)8ÃÄᐭÆÇ+⍸ÉᡂËÌ5ÎÏ⊤ᵬஹÒஹÓஹÔஹÕÖ×ØÙ+°ØÙÚ⌱2ÎÏ⊤+ÉFᵨᑡ⊤ÝᡈÞ᪛B*Ḅ
Ý+Npᡠ⌱Ï⊤ាá]ᵬâÒḄᭆ᳛.18⚓/!60⚓

18ூQRSᫀ௃lx=20,⊡*V᪆2-!-.ூᑖ᪆௃1᪷ᓫé“1”+Np¨ῖᓰḄᑖµ+&ᑮxḄ¿W᪷¦§²ᦪ◀ìᓰḄᑖµ&ᑮ!²ᦪ+Npᦟ¥í¨ῖªᐸîḄ²ᦪ+⊡ᐰᩩ>»¼*ᓽ;2Þp᪛B*ᑡpᡠᨵnïGð+ñᑮᡠ⌱Ï⊤ាá]ᵬâÒḄGðᦪ+òᑭᵨᭆ᳛ôN&.ூw௃(1)1-15%-30%-25%-10%=20%,ᡠìx=20,!²ᦪ8140+10%=1400²ᐵᦟ¥±⚪Ḅ²ᦪ1400x25%=350²,ᐵ¨ῖ±⚪Ḅ²ᦪ1400x20%=280²,ᐵᐸ¬±⚪Ḅ²ᦪ1400x15%=210²,2Þ᪛B*᝞ö:ᵬ./01.ᵬ01.ᵬ/0.ᵬ/01ᵫ᪛B*øᐳᨵ20ùnïGð+ᐸ3ᡠ⌱Ï⊤ាá]ᵬâÒḄᨵ2ùGð,ᡠìᡠ⌱Ï⊤ាá]ᵬâÒḄᭆ᳛82=2010ú⚪ὃüÃᩩ>»¼*+ᡧ>»¼*ªᑡ⊤Ýí᪛B*Ý+⚪Ḅᐵþ]ÿ⚪ᦪᩭ⚪.18.᝞⁚ᑮ☘!"#$ᙶ&'()!&'Ḅ+,-4ᑮ/-312T200m,&'56Ḅ789:;ᜳ=Na=16°,(&'DEᵫ-Bᑮ/-஺12IJKLM19⚓/Q60⚓

19200஻?&'ᵫ-8ᑮ-஺Ḅ56789:;☢ᜳ=/஺=42°,W&'-Nᑮ-£(ᚖ[ᓣḄ]^.(_`aᶇ᦮ᦪ)(eὃᦪgsinl6°~0.27,cosl6°~0.77,sin42°~0.66,cos42°~0.74)ூqrsᫀ௃&'ᚖ[ᓣL186m.ூᑖ᪆௃ᙠRt"BC|BC=AB-sina=200xsinl6°«54ᙠRtABDF|Z)F=5Z)-sin/?=200xsin42o»132,ᓽW&'-4ᑮ-Dᚖ[ᓣḄ]^.ூ௃gᙠRtANBC|,48=200Za=16°,BC-AB-sina=200xsinl6°«54(m)>ᙠRtA8஺9|80=200Zp=42°,DF=BD-sin᜛=200xsin42°«132,&'ᚖ[ᓣḄ]^BC+஺=186().sg&'ᚖ[ᓣL186.⚪ὃL[==Ḅᵨ-ᚁᚁ=⚪┦==ᦪḄ¡ᳮ⚪⚪Ḅᐵ¤.19.᝞ᙠ;☢[=ᙶ᪗¦|[8/9x§¨©ª-M(3,0),9¬§¨©ª-N(0,4),-”®¯VḄ|-±²³ᦪy=&(x>0)Ḅ¶K-4X(1)W[8/·±²³ᦪḄ᪆¸¹(2)ᙠᦪL=º(%>0)Ḅ¶¼½ª-/Ḅ¾-C,¿C8_Lx§ª-8,ÂÃOC©[8/ªx-P,ÆÇONPḄ☢ÈÇ08C☢ÈḄ3ÉW-Ḅᙶ᪗.M20⚓/Q60⚓

209Ê2Ë-PḄᙶ᪗®Ê¾1Ë.4ூ௃Ì⚪ᑖ᪆gÊ1ËÍ[8/Ḅ᪆¸®y=mx+஻ÊÎ஺0Ë,ᑭᵨЦᦪÑᓽW[8Ḅ᪆¸g᪷ÓÔWÕ-Ḅᙶ᪗ᯠ×Ø4Ùᐭy=±Êx>oËᓽW᪆¸¹i3Ê2Ë᪷±²³ᦪ¦ᦪ/ḄÜÝ¡5"ß=¾à=5,áâã஺ä{4}119Í-Ḅᙶ᪗®¾5஺+4,᪷Sqvp=—ONU=—X4XQ=—,ᓽW஺ḄéáÊ3j222âWḄᙶ᪗.Ì⚪᪆gÊ1ËÍ[8/Ḅ᪆¸®y=mx+஻ÊÎHOË,íÊ3,0Ë,Ê0,4ËÙᐭy-mx+n{mw0Ë43஻z+஻=0m=——ìg,3,n=3,77=4,4•[8/Ḅ᪆¸®ð=-1X+4.••-4®8òMVḄ|--”Ḅᙶ᪗®íó21ÙᐭYÊx>0Ë3õ=1x2=3,23•±²³ᦪ᪆¸®y=—¹xM21⚓/Q60⚓

213(2),:SACO/OBCC=-2IIdI-f239Sgp=3x3=3,•.•-N(0,4),.••ON=4.Í-Ḅᙶ᪗®(஺,¾g஺+4),ᑣ஺ø0,SCNP=~ON■a—2a,ACz/V/29••a=¾.4449ᑣ—Q+4=—x—F4=1,20.᝞1,ùῪÇ48C|4c=8C,-OᙠûO®ᙊýḄᙊ-C,4B!D,E®஺஺Ḅ[ÿEFLBC!ஹG,
஺ECḄ•(1)C஺஺Ḅᑗ;(2)᝞2,CB஺஺஻஺OEP,CECF=DO+OP-,24(3)ᙠ(2)Ḅᩩ'(CQ,Etan/HDC=n.CG=4,”Ḅ..22⚓/160⚓

226ூ56௃8⚪ᑖ᪆প0c.>ᑮZ5+ZBOF=90°,NZ=NB,ZCOD=ZEOD=ZBOF,>FNN+NCOD=90°,ᓽHI/C0஺Ḅᑗ.J2K᝞2OC,✌ᐜIN஺=ᡃ஻,PINᙠQNRᙊTFCRVWḄᙊXᓽH6YZ⚪[বᙠRSCWᑭᵨtan/CN"=ஹg=tan//TOC=—,F"”=g᪷klmnᳮ>CM=yJCH2+MH2="஺஺=OR=pᙠRtACGF᪷klmnᳮ>,36CF=y/CG2+FG2=5,ᑭᵨJ2rsḄtuᓽHFOPḄv•8⚪6᪆J1KI᝞1OCVOF1BC,,NB+NBOF=9஺஺,AC=BC,/.4=NB,.23⚓/160⚓

23/.ZA+ZBOF=90°,:஺஽Ḅ/I=J.+ZCOD=NEOD=NBOF,/.ZA+ZCOD=90°,/.NACO=90°,/.OC±AC,.../CG)OḄᑗ(2)I᝞2஺C,•/EF1HC,/.CG=GH,ᚖyzᑖC,FC=FH,NCFP=L/COE,2'/KCOD=ZDOE,/.NCFP=NCOD,•••NCHP’NCOD,2/.ACHP=-ACFP,2NᙠQNRᙊTFCRVWḄᙊX,.24⚓/160⚓

242FC=FP=FH,,:DO=OF,DO+OP=OF+OP=FP=CF,ᓽCR=OP+Z
O[J3
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25/.OD=OF=—,6,/ZCGO=ZCHM=90°,/.OG//MH,•[OC=OM,17OG=—MH=—,26/.FG=OF-OG=3,ᙠRt^CGE᪷klmnᳮ>CF=NCG2+FG?=5,255ᵫ(2)}OP=CF-OD=5——=-.66~ஹ⚪(ᜧ⚪ᐳ5⚪⚪4ᑖᐳ20ᑖ)21.}ᐵXḄgᐗN-2-1=0Ḅ᪷X]ஹX2X3+X22=14,ᑣ□=___.ூᫀ௃-2ூ56௃8⚪6᪆ᐵXḄgᐗ——஻a+2—1=0Ḅ᪷ஹx,2P+%=m,xx-2஻z-1,}2x+x2=(xj+%2)-2X]X=m2-2(2/w-l),22*/Xj2+x2=14,2஻?2-2(2/72—1)=14,6>:=6ᡈ=-2,=6R¡g61+11=0,¢£=(g6¤-4x11=36-44=-8<0,¥ᨵᔠ⚪¨©ªm——2.ᦑᫀR-2.¬gᐗa/+bx+C=0Ḅ᪷ᑖ᳝,¯2,ebcᑣ$+/=——2=g•aa22.᝞ᵫP(14,1),A(a,0),5(0,a)(0VaV14)nḄ£Q8Ḅ☢²R18,ᑣ஺Ḅ³R.26⚓/160⚓

26ூᫀ௃3ᡈ12ூᑖ᪆௃0“1=3,42=12[ᦑᫀR3ᡈ12.323.᝞ᙠyÇᙶ᪗Ê஺/ḄᙊTḄᙶ᪗R(-2,0),VWR2,NRyy=--x+64XḄÌÍPµ஺/ḄᑗᑗR0,ᑣᑗN஺Ḅᨬ³..27⚓/160⚓

27ூᫀ௃4J53ூ56௃8⚪6᪆᝞µÐNyy=--x+6,ᚖRNµ஺”ḄᑗP஺ᑗR0,-4¢ᑗN஺ᨬ'/AḄᙶ᪗RJg2,0K,ÑyÒy¹3¹ᑖ8,C,80,6K,CJ8,0K,OB—6,4c=10,BC=yJOB2+OC2=10,AC=BC,ᙠ£ZPCÒ£BOCZAPC=ZBOC=90a

2824.᝞}£ABC,ADCE,AFEG,aHGl4ÓᐰÕḄÕῪ×ÇØÙÚBC,CE,EG,G1ᙠÛgᩩyX
AB=2,BC=1.AI,FGQ,ᑣூᫀ௃g.3ூ56௃8⚪ᑖ᪆ÍAµAMLBC.᪷kÕῪ×ÇØḄឋÝ>MC=yBC=y,7/.MI=MC+CE+EG+GI=-ᙠRtAAMC2=^C2-A/C2=22-(1)2=^.AI=7AA77+^?=^+(1)2=4-᧕AC஻GQ,ᑣ£IAC^AIQG.ᓽ^^:Qூ=g•ᦑᫀRὃâã×ÇØḄᑨnåឋÝஹlmnᳮஹÕῪ×ÇØḄឋÝ..29⚓/160⚓

2925.᝞}ØABCDḄÚ஺0VWḄ4æᙊT஺ØABCDḄçèᱏᢥ½ëᢚíîEAាðÒ஺஺âᑗA',ᑣtanZA'FEḄ³Rூ56௃8⚪6᪆᝞E஺µ஺4"”8,ᚖᑖR஻ஹN.Ñ0஺ḄVWRr,ᑣ4Vf=M0=2r,Ñ4F=E4'=x,ᙠRSRV/OFOr=FM2+MO2,r+x
2=J2r-x
2+J2r
2,/1r=6x,ÑN=6஺ᑣx=7a,AM=MO=\2a,FM=5a,AF=FA'=7a,♦/AN஻OM,.AfNFA_FN^~OM~~FO^~FM9.ANla_FN12஻13஺5a':84Ḉ_35_126•AN=—a,FN——a,AJVN-----a,131313VZ1+Z4=9O0,Z4+Z3=90°,N2=N3,.\Z1=Z3=Z2,.30⚓/160⚓

30fòòAN2tanZ2=tanZl=-----=—AN33tanZ^'FE=—23ᦑᫀR:g.2óஹ6⚪Jᜧ⚪ᐳ3⚪ᐳ30ᑖK26.ôõög÷ᖪùᡂᓟü40ᐗýnᓟüþÿᨵᡂᨵ80ᐗ,ᜩḄyᓟᓟxᐗᦪᐵ#$ᑖᦪ&᝞(⊤*Xᐗ/ᓟ506070yᓟ10080601,yx-.Ḅᦪ⊤/0128ᖪ:ᜩḄ;ᑭ=>?ᐗᑣAxB>C?ᐗDᔆᖪᜩFGHᑭ=Iᑭ=JC?I3᝞LM⌕GHᜩᨵ1350ᐗḄᑭ=OᔠMQRḄSBTUVᖪ:ᓟḄWXZJC?I[\]ᳮᵫ.ூbcdᫀ௃1y=-2i+20040SE8012>70ᐗDGHᑭ=ᑭ=J1800ᐗ;355$p80,ᳮᵫqr᪆ூᑖ᪆௃1tB#ᦪu,rvH12᪷&“;ᑭ==ᓟᑭ=*”vHᦪr᪆0{ᐸ}~ᡂ⚔0ᓽvHᨬX.3,H?=1350DxḄX᪷&ᦪḄឋ,H1350DxḄWXZ᪷&“ᓟᨵᡂᨵ80ᐗ”Hdᫀ.ூr௃18=6,{50,100ஹ60,80ᐭH*‘50%+6=100160+6=80'1.)=-2x+200(40

31(2)W=(x-40)(-2x+200)=-2+280x-8000=-2(x-70)2+1800,.,.Ax=70D?WHX>1800,d*>70ᐗDGHᑭ=ᑭ=J1800ᐗ.(3)A?=1350DR:-2x2+280x-8000=1350,rH*x=55ᡈx=85,•.•V¡ᱥ£Ḅ¤¥ᔣ(ᡠ¨A55©85D◅1350,«•.•ᓟᨵᡂᨵ80ᐗᓽ40/80,Vᖪ:ᓟḄWXZJ55—80.ὃ®ᦪḄ¯ᵨr⚪ᐵ²J]c⚪³ᑡµ¯Ḅᦪr᪆0ᑭᵨᦪḄឋ¶ᦪḄ⚔0rd.27.᝞·¸¹º»¼½¾¿ᱏZCB,ᐸÄNNC8=90஺AC=8,BC=6,EஹᑖÈJ4Cஹ48ÉÊḄËÌ■.(1)᝞·1,Î{¿ᱏ/C8Ḅº½ÏEFᢚÒᢚÒÓ/ÔᙠN8ÉÊḄ஺ᜐ×SwiwECBFndSAE”,,EDḄÞ1(2)᝞·2,Î{¿ᱏ4C8Ḅº½ÏEFᢚÒᢚÒÓ”Ôᙠ8cÉÊḄMᜐ×A/F஻C4.জãᑨåæɾ/çèḄ¾éêë]ìḄí1ঝ,EḄÞ18AF(3)᝞·3,ÎEḄïÞ£BCḄïÞ£ðN,CN=2,CE=-,,——ḄX.7BFூᑖ᪆௃(1)ᐜᑭᵨᢚÒḄឋHᑮEF1AB,AAEF-.DEF,ᑣS=S^,ᑣ᧕H6AEFDEF32⚓/;60⚓

32SMB^SEF.ë]ôᯠÓ᪷&µö¼½¾ḄឋHᑮ÷!ù=ᙠúMSyABABCᑭᵨûüBᳮ,ABᓽvHᑮAEḄÞ12জýþë]æᩩ
ᑨঝEFO,᝞ঝ4E=xᑣEM=x,CE=8—X,ᐜ$%ACMESAC",CM8—rx2(ᑮ=*+x,-.+CM=T,/ᑭᵨ234ᳮ-.+ᯠ,᪷8Ḅ68103☢?@A-.EF&FH4B3C᝞ঞEEᙠ"ᐜ$%ANCESANEdᑭᵨ
IJ(ᑮ——=—NH7FH=4x,NH=7x,ᑣCH=7x-2,8஻=6—B7x-2C=8-7x,/$%BTT/SAB/C,4ᑭᵨ
IJN-.+x=1ᑣN-.+FHOBH,PḼᑭᵨ234ᳮ-.+BFRS(ᑮJ/74FḄVWN-.+XḄY.BFூ\*௃B1CḄX^_ᡠᢚbᢚb,Zdᙠe3fḄ஺ᜐ/.EF1AB,&AEFWXDEF,'qEF=S^DEF',**SECBZ4sAEDF-••S/^ABC^^S/^AEFfᙠRsZBCo•/ZACB=90%4஺=8,BC=6,AB=10,NEAF=ABAC,**.Rt^AEF^Rt^ABCfᵫᢚbqDE=AE=25r33⚓/t60⚓

33(2)জ41/EF0,᝞2,2,/ZX/CBḄX^_EFᢚbᢚb,/dᙠfḄ஺ᜐ,AAE=EM,AF=MF,NAFE=NMFE,"/MF//AC,/.ZAEF=ZMFE,/.ZAEF=ZAFE,AE=AF,/.AE=EM=MF=AF,.♦.ZEAvঝ/E=xᑣEW=x,CE=8-X,•.•NEA஻:.EM஻AB,ACMES^CBA,.CM_CE_EM''CB~~CA~AB'CM8—xxanᓽX=——=X,6810*(x=yCM93ᙠRtA^CAfoAM=y]AC2+CM2='{3S^AEMF=EF-AM=AE-CM,=|AM9(3)᝞ঞE",r34⚓/t60⚓

34B•ANCESANFH,,CN_CE••}ߟ}’82_7~NH~~FH"FH_4••=-9NH7`FH=4x,NH=7x,ᑣC"=7x-2,57/=6-B7x-2C=8-7x,•:FH஻AC,:•ABFHS^BAC,,BH_FH8-7x4x6=T94x=X,5/.FH=4x=—,BH=S-7x=—,55ᙠRtPBFHoBF=yjFH2+BH2=4,=—ᓽ=10—4=6,,AF63••=-=—.BF4221028.᝞y=—§x+4xC,yB,ᱥ>>=ᑁ2+᱄x+c8ஹC.r35⚓/t60⚓

35(2)᝞EW8cfᱥfḄXBEC☢?+EḄᙶ᪗(3)ᙠ(2)ḄEEyḄ¡BCPe஺Wᱥ¢£fḄᙠᱥfWᔲ¥ᙠP,¦(§ஹ0ஹ4ஹ/⚔ḄW¡©᝞ª¥ᙠPᑏ+Ḅᙶ᪗᝞ª¬ᨵ¥ᙠ®%ᳮᵫ.210ூ¯°±ᫀ௃(1)y=--x2+—x+43335135113(2)E(3,8)(3)¥ᙠPḄᙶ᪗W-------ᡈ------ᡈ------222226ூᑖ᪆௃(1)ᵫ·ᦪḄ*᪆AN+8OCᙶ᪗./¹ᐭᱥ*᪆AoᓽN+஺OcḄYᓽ(+ᱥ*᪆A2102(2)EEEG஻y8cG,E(w»——m2+—m+4),ᑣG(m,ߟߟm+4),ᑣNᵨ»⊤½+EGḄVᑭᵨ¾^☢?@AᓽN+¿À஺ḄY/ᑭᵨÁ·ᦪḄឋÄᓽ(+±ᫀ(3)᪷8Á·ᦪ*᪆Aᓽ(+ᐸ¢£ᵫÆN(+eᙶ᪗./ᵫ஺Wᱥ¢£fḄ(+஺ḄÇᙶ᪗g.জ¡§4஻ᵫ⚪ÉNqMḄÇᙶ᪗W23,/᪷8ᵨᙠy=-1x+4fᓽ(+ᐸÊᙶ᪗./¡ḄឋÄᓽ(+ËÌÍ,ᵫÆN(+Pᙶ᪗ঝ¡§ÎᳮNq/ḄÇᙶ᪗W3,0ḄÇᙶ᪗2,RSᓽ(+Ḅᙶ᪗ঞ¡§¢^ᵫ¡ḄឋÄ(+2ÏᑮeḄËÌÍᓽ(+Pᙶ᪗.r36⚓/t60⚓

36ூÐÑ1\*௃x=0ÒÓ4,:.B(0,4),2y=0-—x+4=0,*(Ôx=6,/.C(6,0),Õ5(0,4)OC(6,0)¹ᐭᱥ+o(:c=4,,1036a+—x6+c=0I3'__2*(Ôr~~3,c=4210•ᱥḄ*᪆AÔy=-X᮱+XØ433ூÐÑ2\*௃᝞1,EEEG஻y8CG,333210ஹ2ஹ2:EG=(z----m2H-----Ù+4)-z(-----□+4)=-----஻ᔆ2+4□,3333r37⚓/t60⚓

37112B——m9:S^BEC=—EG*OC=
x6+4»C=-2m-3
2+18,223••-2<0,SᨵYÆÜ(3,8)ÔூÐÑ3\*௃21025ஹ49y=----72A*-H-----x+4=----BX------
H------Ô33326Ýᱥ¢£WÔx=-,2Þe(-1,0)♦:!ஹQWᱥ¢£fḄ••QḄÇᙶ᪗g,ᙠᱥf¥ᙠ¦(§Pஹ஺ஹA,ß⚔ḄW¡:জ᝞2,§ᵫ(2),N(MḄÇᙶ᪗W3,2,Mᙠy=--x+4fÁMḄᙶ᪗W(3,2),à•.•4Ḅᙶ᪗W(-1,0),஺ḄÇᙶ᪗3᪷8Mᑮ0ḄËÌÍÔNqÔPḄÇᙶ᪗-r38⚓/t60⚓

383_52~2•.•ᵫ(2),N(஻ḄÇᙶ᪗W3,,/A(-1,0),á0ḄÇᙶ᪗g,13.•.ḄÇᙶ᪗â2'/MᑮQḄËÌÍN(PᑮAḄËÌÍ,r39⚓/t60⚓

39113:.PḄᙶ᪗W------26ãfᡠäᙠᱥf¥ᙠP,¦(§Pஹ஺ஹeஹ/⚔ḄW¡35135113PḄᙶ᪗W------ᡈ-------ᡈ------.222226å⚪ὃçÁ·ᦪèéḄãᔠ.ëì¡ḄឋÄḄíî@Aᑭᵨï4ðᦪñ·ᦪ*᪆AW*⚪Ḅᐵó.r40⚓/t60⚓

402022-2023
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AᡂḄb80°.A.19B.29C.39D.497.ᙠJ9ḄᩭḄ᝞⊤:(km/h)4849505152ᦪ54821ᑣḄ[ᦪgᦪᑖG¦41⚓/60⚓

41A.50,8B.49,50C.50,50D.49,88.᝞/0\¨©ªᦪY=EḄ/¬¨©ªᦪ=®Ḅ/¯<°NஹBb!,ᐸ[´/Ḅµᙶ᪗2,¸%>᜜0xḄ¹º¼GA.xV-2ᡈx>2B.xV-2ᡈ0VxV2C.-229.½¾ᐵ°xḄᑖÀ?TR3-1=——ḄUG\ᦪ0ᑣÁḄ¹º¼Gx-11-xA.w<4PB.w<4C.m5P*610.ÂÃÄÅ᪛Çᙠ\?cḄÅÈᑁ0ÉÊËÄÅ᪛ÌᨵÍÎᔿ0ÐᙠÄÅ᪛Ḅᕜ¼Ç┐Ò᪛.ᙠ1/Ó0ÔÕÖ×ᑮÂÃᡠÇÚÄÅ᪛Ḅᑡᦪ஻gÄÅ᪛ᦪÜÝ┐Ò᪛ᦪÜḄÞß:¸஻J9ᦪº0ÄÅ᪛ᦪÜà`°┐Ò᪛ᦪÜ0ᑣ஻஻=1஻=2“=3஻=4•₝Å᪛♦♦♦♦♦♦♦«■**♦♦♦♦♦<***♦┐Ò᪛♦•♦♦♦♦♦•••♦*ã••••ã♦♦♦♦•••*ã•••:♦♦♦♦♦♦♦♦♦♦____«A.6B.8C.12D.16ஹ$%⚪,*⚪3ᑖ+ᐳ24ᑖ11.ᑖUäÀnj2+2/M«+n2_1=.12.ᔆæçJᨴéêëìḄẆîïðaᐗ0ÖñòᨴêëìḄẆîïðᨴ<¨óf᳛õGx,ᑣöᔆæç8ᨴéêëìḄẆîïðyᐗᐵ°xḄªᦪᐵ÷Àë.13.᝞/0´A,B,Cᙠ஺00COḄøf
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☢ᙶ᪗xOyOᙶ᪗AḄᙶ᪗(6,0),CḄᙶ᪗(1,4),ᑣBḄᙶ᪗15.᝞ᙠABCDBDḄBDBDᙠBCḄDᜐDḄ"#$DD,ᑣ▢&'ᑖḄ☢)RCD>16.*+,-ᦪmஹn,012345mXn=mn-m-n+3,67Ḅ89:;Ḅ<=>?@45A᝞B3^5=3x5-3-5+3=10.C᪷EF01GHI⚪Ba<2Xx<7,KGLᨵNO᦮ᦪGᑣaḄQRT.17.᝞/AOBWXᙠYZḄ-2Oᑣcos/AOBḄR.18.᝞AB=4,\8M>]^ᚖ஺Ḅ2Oa£ᙠ\᝞,BE=-DB,dEFJ.OEefQ=hi4Fej\8M*C.`BE=x,2BC=y,ᑣ᜛ᐵ*xḄmᦪG᪆7.o43⚓/r60⚓

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47ঝ,.•K1|2B.x<-2ᡈ0Vx<2C.-2Vx<0ᡈ02ூᫀ௃DF48⚓/I60⚓

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