2022-2023学年重庆市江津区中考数学专项突破仿真模拟试题(一模二模)含解析

2022-2023学年重庆市江津区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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10ᦑ⌱B⚪ὃwxᱥHJxᨵL:$᪷⚪4ᑮ:CஹBḄᙶ᪗F⚪Ḅᐵ¡.ஹ⚪11.ᑖ¢ma2-2mab+mb2=.ூᫀ௃m(a-b)2ூ௃ma2-lmab+mb2=m(a2-2ab+b2)=m(a-h)2.ᦑᫀm(a-b)2.12.ᐵ+xḄ/ᐗ¤¥¦§(A-I)/-ᐭ+1=0ᨵ¨©ªᨵ)"Ḅ«ᦪ᪷$ᑣ«ᦪḄNOQFூᫀ௃¬ூ௃ᐵ+xḄ/ᐗ¤¥¦§(hl)x2-2x+l=0ᨵ¨©ªᨵ)"Ḅ«ᦪ᪷$..▲1¯¬A=(-2)2-4(hl)>0,4&<2¬°1.ᦑ4V2¬±1.13.ᙠ"Ὺ4ABC#$AB=AC,ZA=50°,ᑣNB=_______.ூᫀ௃65஺.ூ௃᪷"Ὺ³´ឋyµ³´ᑁµᳮᓽ31·4¸ᫀVAB=AC,AZB=ZC.VZA=50°,AZB=(180°-50°)+2=65°.14./©ᖪº»ᜓx10½yᙢᙳᒴḄÁᩩ$ᐸ#Ã4ᑮ/ᙽÅḄÁᩩᨵ5½$Ã4ᑮ³ᙽÅḄÁᩩᨵ3½$Ã4ᑮÆᙽÅḄÁᩩᨵ2½.#|ÇÈN/½Áᩩ$ាÊFÃ4ᑮ³ᙽÅḄÁᩩḄᭆ᳛Fூᫀ௃0.3ூ௃⚪᪆♦.ᐳᨵ10½yᙢᙳᒴḄÁᩩ$Ã4ᑮ³ᙽᛢḄÁᩩᨵ3½$3.#|ÇÈN/½Áᩩ$ាÊFÃ4ᑮ³ᙽᛢḄÁᩩḄᭆ᳛F/=0.3.1015./ᙽ"ϳ´ḄᩈÑ$ÏÒ1,ÓSᩈÑÔÕ?HÖ×(᝞>)$ØÙB:ÚÛÜÝÞᡠßàḄá2Òâ`11⚓/c56⚓

11ABC4ூᫀ௃/ã3ூ௃:(120nxl+120nxl)/180=/7.16./©çᳫéᙢ☢ᔣë¸$ìíᙢ☢Ḅîâh(m)Jçᳫéë¸ñḄMòt(s)õòᐹᨵYᦪᐵC//=4r+19.6/$ùúçᳫéë¸ñ4sûᙢ$ᑣçᳫíᙢ☢ḄîâFm.ூᫀ௃19.6.ூ௃⚪ᑖ᪆ᵫ⚪4t=4M$h=0,¢ý0=16a+19.6x4,4a=-4.9,..YᦪᐵC=—4.9/+19.6/=-4.9(//2)2+19.6,ᡠÿᳫᙢ☢Ḅ19.6(00,ᦑᫀ19.6.ὃ1.ᦪḄᵨ2.ᦪḄᨬ3.ᨬ!⚪.ஹ⚪17.%&-2?+(ta«60o-1)(-y)-2+(-it)0-|2-V3|ூ45ᫀ௃2ூ78௃9⚪ᑖ᪆✌ᐜᓄ?᪷AB%&CᢣᦪᗩF0GஹIᣵKLBᯠNᔠPQR᪷AᓽT.9⚪8᪆UA=-4+(JJ—l)xJJ+4+l—(2—6),=-4+3-73+4+1-2+73,=2.18.4X2-3=12x(ᵨ]A^8).3+25/33-273ூ45ᫀ௃_2%F-b12⚓/d56⚓

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13AZAOC=90°,ᓽZA+ZACO=90°,VZACO=ZDCB=ZDBC,/.ZABO+ZDBC=90°,ᓽOB_LBD,ᑣBDᙊOḄᑗ28³BD=x,ᑣOD=x+l,ÀOB=OA=3,ᙠRTAOBD·BOB2+BD2=OD2,ᓽ32+x2=ÁX+1Â2,8§x=4,BDḄ4.20.Ã᪥ᝄÆÇÈÉFÊËÌÍÎÏÐÑἠᐳ¬ÔBᐸ·hÔᢣÖÑἠB×hÔؼÖÑἠ.ÙᵫÈÉFÊËᑖÚÛÜÝ}Ḅᵬஹ߬àÛáÁÛáᵬâ£ᑖஹÛáßâ«£ᑖÂ5ᢣÖÑἠḄãäBᙠ¬àÛáåæçÛÜNBᢣ┐ᡠᢣḄ¬àᦪêëFᏔᦪBᑣÈÉí§ᢣÖÑἠᢣ┐ᡠᢣḄ¬àᦪêëF᜻ᦪBᑣÊËí§ᢣÖÑἠᢣ┐ᢣᔣᑖ◞BᑣñòÛÜ.óôàf^]õᔩ÷øù᪛û}ᡈᑡ⊤BPÿᳮᵫ.ூᫀ௃:=5(23)5(2,3)....................(4ᑖ)14⚓/56⚓

14(2.3)=645311+3=41+4=51+5=622+3=52+4=62+5=7ூ┯ᡷ1ᑖᡷᑖ௃Ez0HlMIII=3...........................5ᑖ>=5...........................6ᑖ!"#$ᔠᳮ................7ᑖூ&௃᪷(⚪*ᑡ⊤ᡈ.᪛01᝞3:^5634575875ᵬ11+3=41+4=51+5=622+3=52+4=624-5=7756:ᦪ<ᵫᑡ⊤ᡈ᪛01=>:ᡠ@!"A#$Ḅ.21.᝞1ᜩDEEF3GHZᜐJKH8ᜐLM8001+6NOPEḄGHḄᚁ]A45஺KHḄᚁ]A30஺OPḄYZX_`V2N/a.bOJOPQRᑮdE⚔CᜐᑣOḄYZX_Afg215⚓/56⚓

15ூᫀ௃1N/aூ&௃ᑖ᪆jklCnCDLABslD,uvw=*NOḄYZX_AaN/a᪷({]|]}Ḅឋᵨx⊤ACJBCḄ᪷(OJOPQRᑮdE⚔Cᜐᓽ=.⚪᪆jjklCnsl஺uZO=xNOḄYZX_A஺N/a.j//=45஺CDLAB,$.AD=CD=x^z,஺=⊈N).ᙠRtZ\8C0VZS=30°,.BC=-^=2x(N).jsinOPḄYZX_`ᓩN/abOJOPQRᑮdE⚔Cᜐ.a=l.jOḄYZX_A1N/a.22.£#¤¥├§¨ₐªᓟ¬ᡂ`50ᐗ.¯°±²ᙠ³R´ᑁ¶w(ᓟ¬)¸ᓫºx(ᐗ/ᓟ¬)Ḅ»ᓄ½»ᓄᐹ¿ᐵÁÂ`jw=-2x+240,ÄᱥºÆÇÈɧ¨ₐḄᓫºÊᨵÌs90ᐗ/ᓟ¬.u§¨ₐᙠ³R´ᑁḄᑭÏ`V(ᐗ)3ᑡÐ⚪j(1)ÑVJXḄᐵÁÂ(2)ÓxÔÕÖR×ḄÖg(3)᝞Ø#¤Ù⌕ᙠ³R´ᑁÛ2250ᐗḄᑭÏᓫºÜÉ`fᐗgூᫀ௃(1)y=-2x2+340x-12000(2)85;(3)75ூᑖ᪆௃(1)᪷(ᑭÏ=ªàᑭÏ•¶ᑡâᦪᐵÁÂᓽ=(2)ᑭᵨã!"᪷(äâᦪḄឋåÐ⚪ᓽ=(3)æâᦪÖçᐭᐗä!éåÐ⚪.ூ&௃(1)ê**ᨵy=(x-50)-w=(x-50)-(-2x+240)=-2x2+340x-12000,yJxḄᐵÁÂ`jy=-2x2+340x-12000(2)y=-2x2+340x-12000=-2(x-85)2+2450,ᡠ@Óx=85RyḄÖ(3)!éxi=75,X2=95,᪷(⚪*X2=95Êᨵᔠ⚪*Üìí:.Óᓫº`75ᐗR,=ÛᑭÏ2250ᐗ.16⚓/56⚓

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17:.NAD'C=ZE'CD'=90","$AC=2CD',$.ACAD'=30°,:.NACD'=90°-NCAD'=60°,a=60°.(2)᝞2NuCK_LBE'4■K.$.CD'=CE'=•.•vC஺'E'weῪ'ghgiC»=CE'=$.D'E'=2,■:CK1D'E',$.KD'=E'K,$.CK=—D'E'=1,2CK_1_V2.♦.sinNCBE',-272"~T(3)᝞3NmCxᙊzax{|u0C,5E'*0c+ᑗ/PᨬjᑣiCZ)'PE'w?i6PHL4B4H.p18⚓/s56⚓

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26ᑖ᪆ᦪ.⊡ᐰ)ᑡ⊤R]Ḅ^_`:aᙳᦪ]:ᦪcᦪ80defg(1)ᵨ᪵M]Ḅ^_`j_᪥#ᕜᵨ%᜜▅ḄTU:(2)᝞k᪥lᨵ400Vj_TU“8”Ḅᨵpq5r(3)Ꮇtaᙳ▅uM᜜vḄ160ᑖwxy⌱{u|^_`j_᪥#Vu}(ᢥ52ᕜ_~)aᙳ▅pqM᜜vr19.1u|ᢚᵫ)⍝ᡧTḄ⚓ᡂ᦮⚓Ḅᙠ᪾&⚓ᐵ2ᐸ¢£¤ᓄ¦§¨©⍝Z8=120C?Mᡧ⚓Ḅ஺஺=06=60஺¬8®Cᙠ°஺஺±03Ḅ²³ᨵ´(ᡠᨵfk¶ᶇ¸ᦪ¹u:).প»NOBC=50°,¾ACḄ(2)®C/Aᔣ°60cm¾0ᙠÁ&']°ḄÂÃ.(Äὃᦪ.*sin500~0.77,cos50°=0.64,tan50°~1.19,ᐔ23.14)o20.᝞ᙠÍ/BC]஺/CuÏ஺ᙊÑOCÓÃÔᙊ±8Cᑗ%C.&AÔ஺80Ö30Ḅ×Ø%஺Ù/Ú40.(1)¾Û*0஺ḄᑗØ4(2)»8C=6tanZABC=-¾Ḅ.3W27⚓/Z56⚓

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36D{2᝞{3,PᙠAC6PN_LADN,AN=x,ᑣᨵDN=6-x,PN=x,ᵫ&'(ᳮAP=V2x,PD=^2+(6-X)2XVPD=2AP,ᡈx=-V7-i(ᨵyᔠ⚪U),AP=¡X=L¢,{3Pᙠᐸ¤/ᡈ#F6ᨵ¥ᙠ,¦§PD=2APḄ¨APḄ2,2©VT4-V2•ᦑᫀ2ᡈ26ᡈJT-JL<⚪ὃ?iPḄឋ&'(ᳮḄᵨI®¯°ᜧ⚪ḄᐵK0wxyᔠ⚪UḄ{.ஹ(0ᜧ⚪ᐳ5)⚪34)⚪6ᑖ3ᐳ30ᑖ)13.(1)³´-(a+l)(a-l)-(a-2)-8(2)ᨵIb-x—12·¸+32ூᫀ௃(1)4஺L58(2)x>6c37⚓/e56⚓

37ூ௃ூᑖ᪆௃(1)ᐜᵨ¼P½¾bஹ¿ᐰ¼P¾bÁÂᯠCSᔠÃÄÅ⚗ᓽ,;(2)ᢥᑖÉஹÊËஹÌ⚗ஹᔠÃÄÅ⚗ḄÍÎ*ᓽ,.ூ௃(1)Ïb=a2-l-(a2-4a+4),=a2-1-a2+4a-4=4a-58(2)ᑖÉ2(x-l)>x-2+6.ÊË2x-2>x-2+6,Ì⚗2x-x>-2+6+2,ᔠÃÄÅ⚗x>6.<⚪ὃ?i᦮bḄÑᔠÒ´ஹLᐗᨵIbAjkl᦮bḄÒ´ÓᑣஹLᐗᨵIbḄÓ0ᐵK.14.᝞{ᙠÔZBC%AB=8,3஺=4,/஺=6,8||஻5,8஺048஺Ḅ¼ᑖFBDAADE,*/EḄ.ூᫀ௃4ூ௃ூᑖ᪆௃ᵫÖ!ᩩØᐜ*CD=BC=4,ᯠCSÙÚÔABEs/xCDE,᪷HÛ$#/ᡂÝÞCE+AE=AC=6ᓽ,*AEḄ.ூ௃8BD0NABCḄ¼ᑖF.".ZABD=ZCBD,•8CD஻AB,.,.ZABD=ZD,.,.ZCBD=ZD,.,.CD=BC=4,ß-CD஻AB,c38⚓/e56⚓

38.".ÔABE<^ACDE,•CECD41"AE-AB-8-2'8CE+AE=AC=6,AE=4.<⚪ὃ?iHÛ$#Ḅᑨ(XឋAjklHÛ$#Ḅᑨ(Xឋ(ᳮ0⚪ḄᐵK.15.᝞{ᙠ./N8CZç%/8஻஺஺/3=2஺஺£48Ḅ%éêᵨëì¯Ḅ"íᑖîᢥïᑡ⌕*w{òóᶇ{õöçò1çᙠ{1%wxAABDḄBD/Ḅ%F8ò2çᙠ{2%sBA=BD,wxAABDḄAD/Ḅ÷.1«1ூᫀ௃ò1ç{ø᪆8ò2ç{ø᪆.ூᑖ᪆௃ò1ç᪷AB=2CD,AB=BE,,!BE=CD,S᪷BE//CD,,!opCE,CEXBDḄùFᓽBDḄ%opAF,ᑣAFᓽ4ABDḄBD/Ḅ%F8ò2çᵫò1ç,!opCEXBDùF,ᑣFBDḄ%᪷$#%ûF(ᳮ,EF//AD,EF=yAD,ᑣ,./ADFE⌕IῪþopAF,DEù0,᪷ῪḄឋ0A=0D,BA=BDB0ADḄᚖᑖᓽ4ABDḄAD"#Ḅ$.ூ'(௃*1,᝞.AFAABDḄBD"#Ḅ01*2,᝞.AH4ABDḄAD"#Ḅ$.439⚓/956⚓

39=⚪ὃ@AᑭᵨDEFḄGᢥ⌕J.⚪KLMᑖ᪆.ḄᡂP(⚪ḄᐵR.16.STUVWXY“ᐰ\ᦻ^_V”abᕜdefghiὅklmn.opq᫡ὁtuvw4x᝕oz{*|}ஹ|ஹ|⁑|Ꭵ,0Ḅv2x᝕.ᑣ4x᝕oz{xᑖᑏᙠ4ᐰḄᓱᱏ☢ᓱᱏ☢¡#¢ᒴ¤¥ᙠ¦☢#᫡ὁtᐜw0¨©ª«ᓱᱏ¬xwᒕ¯Ḅ3ᓱᱏ0¨©ª4°¬x.*1,±oᵱ“|³´0''"|}´0''*·''¸ᨵº”ᡈ“¼ᯠ”ᡈ“¨©”,1¾ªᓱᱏ“|}´0”Ḅᭆ᳛W;*2,ÂᵨÃ᪛Å.ᡈᑡ⊤ḄÈ⊤ÉʾᡠᨵºḄÌÍÎJ“|´0”Ḅᭆ᳛.ூÏᫀ௃*1,¸ᨵº1¨©1*2,142ூ'(௃ூᑖ᪆௃*1,᪷w᝕oz{0ªᵫᵱ“|³´0“¸ᨵº“|}´0”¨©¾ªᨵ4Òº“|}´0“ᨵ1ÒºᵫᓽJᭆ᳛1*2,Ã᪛Å.ᑮᡠᨵºḄÔÕᯠ¤Ö×ᔠ⚪KḄÔÕᦪᑭᵨᭆ᳛ÚklÛÜᓽ.ூ'(௃*1,PWw᝕oz{0klªᡠÝᵱ“|³´0“¸ᨵº“|}´0“¨©¾ªᨵ4Òº“|}´0”ᨵ1ÒºᡠÝ“|}´0”Ḅᭆ᳛WÞ4ᦑÏᫀW¸ᨵº¨©v;*2,Ã᪛Å.᝞:440⚓/956⚓

40âã|}||⁑|Ꭵä/1\/K/N||||||||||||å⁑(ft}⁑Ꭵ}æç}⁑ᵫ᪛Å.ᐳ12Òº,ᐸ0“|´0”ᨵ6Òº,ᡠÝ“|´0”Ḅᭆ᳛p=—=".122=⚪ὃ@A¨©ஹ¸ᨵºஹᑡ⊤ᡈÃ᪛Å.ÈJᭆ᳛ᵨᑮḄìíWᭆ᳛=ᡠJÔÕᦪî9ÔÕᦪïð.17.᝞.òðóôᦪy(÷#0)Ḅ.úîðóôᦪy=2xḄ.úûüA(l஻),5ÿ஺ᙠ▲CA//yZABC=90°.(1)Ḅ8Ḅᙶ᪗(2)஻CḄ.ூᫀ௃(1)1=2,5(-1,-2)(2)2.ூ%&௃ூᑖ᪆௃(1)ᐜ᪷+Aᙠ-.y=2x12AḄᙶ᪗3᪷+Aᙠ4567ᦪy=g(^H0)Ḅ=1ᑭᵨ@ABᦪC2kḄ3᪷+AஹBᐵHIJKᓽM2BḄᙶ᪗(2)NBHLACHH,PACQxHD,᪷+N/BC=90°,NBHC=9G஺,NO/C=/4BH,3ᵫXYM2HPO/C=/4OD,ZtanCᓽM.41⚓/]56⚓

41ூ%&௃(1),•,A(l,஺)ᙠy=2x1$.a=2,.A(l,2),aA(l,2)bᐭy=L2A=2,Xk•.•4567ᦪy=1(%HO)Ḅ=g567ᦪy=2xḄ=QHA,8h,A>BhᐵHIOJK8(-1,-2)(2)NBHJ_ACHH,PACQxHD,VZABC^90°,ZBHC=90°8:.NC=NABH,,/CA//yBH஻x.♦.=/C=/z஺஺AD2tanC=tanAAOD=---=—=2.OD1n⚪ὃqr456g7ᦪsᔠu⚪vᑮ@ABᦪCஹJKஹxy7ᦪzY{|}~ᵨᐵY{&⚪Ḅᐵ2⚪ZNC=NAODᐵ.ஹnᜧ⚪ᐳ3⚪⚪8ᑖᐳ24ᑖ18.4ᨴ23Mᢝ2ᑮ᠗¡¢£ᯠ¥¦§᪥©ª«¬®¯ᑭᵨ°±²³´µ▅·᪥ᦻ¹º»r&¹¯°᜜▅Ḅ½¾¿᪵rÁᑖ¹¯ᕜᵨH°᜜▅Ḅ²³ÃÄ᝞ÆᦈÈᦪ+ɹ᪥ÊË¿Ì20͹¯,ÎÏrᕜᵨH°᜜▅²³Ḅᦪ+᝞ÆᓫÑ:min:30608150401101301469010060811201407081102010081᦮ᳮᦪ+ᢥ᝞ÆᑖÚ᦮ᳮ᪵nᦪ+Û⊡ᐰ⊤ß°᜜▅²³xmin0

42zæDCBAᦪ38ᑖ᪆ᦪ+⊡ᐰÆᑡ⊤ßâḄãäå:éᙳᦪâÑᦪëᦪ802Zçè1ᵨ᪵nâḄãäåìä·᪥¹¯ᕜᵨH°᜜▅²³Ḅ½¾zæ»;2᝞î·᪥ïᨵ¹¯400ìäzæ»B”Ḅ¹¯ᨵòóÍô3ᎷPéᙳ▅ön°᜜Ḅ²³»160ᑖ÷øù⌱ûöüãäåìä·᪥¹¯öýᢥ52ᕜäþéᙳ▅òón°᜜ôூᫀ௃1ÿ⊤᪆21603ᙳᦪ26.ூᑖ᪆௃ᐜ⊤ḄCஹ4!Ḅ"ᦪ#$᪷&'ᦪ()ᦪḄ*+ᑮ᪵ᦪ&Ḅ'ᦪ()ᦪ1᪷&.#⊤/01ᓽ32ᵨ“8”!"ᦪᡠᓰḄ:;<=ᐰ᪥Ḅ@Aᦪᓽ3+3⌱Cᙳᦪ#DEᐰF▅HIJ#ᯠL$◀=▅HNO᜜QḄIJᓽ3+.ூR௃᦮ᳮᦪ&ᢥ᝞WᑖX᦮ᳮ᪵ᦪ&Y⊡ᐰ⊤[\O᜜▅HIJxmin0

43(2)8-20x400=160,f᪥!q“8”Ḅ@Aᨵ160(3)⌱.\ᙳᦪ80x52-160=26,,f᪥@Ag"NFᙳ▅H26O᜜Q.⚪ὃ~'ᦪஹ)ᦪஹᙳᦪஹ⊤ஹᵨ᪵1u#ᔜ.Ḅᐵ.19.1Nᢚ#ᵫW⍝(ᡧḄ⚓ᡂ#᦮⚓Ḅ¡¢£ᙠ᪾#¦§¨©ª«⚓¬ᐵ2ᐸ®¯°ᓄ²³#´⍝28=120஺¶#ᡧ⚓Ḅ஺஺=஺3=60஺¶#·8£#¸·Cᙠª¡¹©I#஺஺º஺8Ḅ»¼ᨵ½(ᡠᨵb¾¿ᶇÁᦪ·LN').পÃAOBC=50°#ACḄ(2)¸·஺Å·Aᔣ¡¹©60cmI#·஺ᙠȧɹ©ḄÊË.(Ìὃᦪ&\sin500=0.77,cos50°~0.64,tan50°~1.19,ᐔÕ3.14)oூÖoᫀ௃(1)43.2cm(2)62.8cm.ூR௃ூᑖ᪆௃(1)᝞#×OH_LABiH,ᙠRtZ\OBH#ᵫcosNOBC=—8+OBBHḄ#$᪷&AC=AB-2BHᓽ3+ACḄ(2)ᵫ⚪³3aOBCáâãä#ᵫÈᓽ3EåOCḄ#ᓽ·Oᙠȧɹ©ḄÊË.ூR௃(1)᝞#×OHJ_ABiH,r44⚓/u56⚓

44o,.,OC=OB=60,.CH=BH,ᙠRtAOBH#BHcosZOBC=-----,OB.'.BH=OB-cos50°~60x0.64=38.4,.AC=AB-2BHç20-2x38.4=43.2,/.ACḄèq43.2cm(2)VAC=60,.*.BC=60,VOC=OB=60,.-.OC=OB=BC=60,.'.éOBCáâãä#-~60^x60--N"Ḅ=--------=20x3.14=62.8,«180...·Oᙠȧɹ©ḄÊËèq62.8cm.⚪ὃ~ëãâãäḄìᵨ#ῪâãäḄឋïஹáâãäḄᑨºឋïஹåñò#⚪³ÖóEä⚪Ḅᐵ.20.᝞#ᙠéZBC#஺q/CN·#=஺qᙊõ#OCqöË×ᙊ#º3Cᑗi·C,§·A×஺#80ø8஺Ḅùúi·஺#û//஺஺=/ü஻).(1)þ\q஺஺Ḅᑗú4(2)DBC=6,tanZABC=~#Ḅ.r45⚓/u56⚓

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46AC4(2)VtanZABC=-----=—,BC=6,BC3•••AC=8,.-.AB=V62+82=10"VBE=BC=6,.AE=4,AE4VZAOE=ZABC,/.tanZAOE=-----=—,AEO=3,EO3AO=5,OC=3,.,.BO=762+32=3y/5ZAOD=ZBOCᙠAAOD8BOC9■ZADO=ZBCO..AOADAAOD0°ZA\BOC>•------........BOBC5ADᓽC=E'MD=2G•I⚪ὃKLᑗ(Ḅᑨ%MឋO"2Ḅᑨ%MឋO"PQRSᐵḄᑨ%MឋO%ᳮ⚪ḄᐵV.WஹIᜧ⚪ᐳ2Z⚪"[Z⚪9ᑖ"ᐳ18ᑖ21.\]╋_`abᢄd"efdgᡝiᒹL₠lmn\ompq.ᑮLᦈtu⁚"wxypqḄᡂIz&8ᐗ/ᓟ}"ᢗᐭ""ypqᨵ"[ᜩyᓟ}Mᓫzxᐗ/ᓟ}Ḅᦪᐵ᝞ᡠ.1-LMXḄᦪᐵ"ᑏ.XḄ;2yompq%z&¡"[ᜩtḄᑭ£¤ᑭ£¡¤3\¥ᡝ¦§ᐳ¨᤺pq4800ᓟ}"yompqḄªO«&40ᜩ"᪷29tᑭ£Ḅ¬"®ᔲ°±ᢇpq¤³´ᳮᵫ.¶}1■ᐗ/ᓟ}>47⚓/A56⚓

47ூ·¸¹ᫀ௃(1)y=-10x+300(80,—10x+30020,.-.x<30,,8Kx430(2)Øᑭ£&wᐗ"ᑣw=(x-8)(-10x+300)=-10X2+380X-2400=-10(X-19)2X2+1210,,x=19"wV1210,%z&19ᐗ,ᑭ£"ᑭ£1210ᐗ;বx=19"y=H0,H0X40=4400<4800,..•ᨵ®°±ᢇpêI.I⚪ὃKLᦪḄᵨஹÐÑᦪḄᵨ"ìí⚪+"î.ᦪḄᐵᑡ.ᦪ᪆⚪ḄᐵV.22.ᙠðZ8C஺9"=60°,ôõ(8஺öß÷"Ë/P&ᔣúû"APE,EḄüýþPḄüýÎᓄᓄ.(1)᝞1,EᙠZ6C஺ᑁᡈCE,8PCEḄᦪ#ᐵ%&,CEADḄ'(ᐵ%&)*48⚓/-56⚓

48(2)Eᙠ/8CD᜜(1)/Ḅ01&ᔲ3ᡂ567ᡂ589:;<)7=ᨵᡂ58?<ᳮᵫ(⌱C2,3/ḄDEFG9:;<ᡈ?ᳮ).(3)᝞4,HᙠIJ3஺ḄKLI8E,7/8=26,BE=2A/19MN/DPEḄ☢P.ூRSTᫀ௃(1)BP=CE)CE1AD)(2)ᡂ5ᳮᵫWX᪆)(3)873ூZX௃ூᑖ᪆௃(1)জAC,;<4ABP]AACE,᪷_ᐰabcḄdefaᓽh;iBP=CE)ঝ᪷_dcIkᑖdchiNABD=30஺l᪷_4ABPm4ACE,hi/ACF=/ABD=30஺nhopiq/CFD=90°,ᓽh;iCELAD)(2)(1)/Ḅ01rBP=CE,CE±ADsᯠᡂ5ᑭᵨ(1)Ḅwxyz;<ᓽh)(3)AC{BD|O,CE,}EH_LAP|H,ᵫ~ᐜMiBD=6,lᑭᵨᳮMqCEḄLAPLᵫ4APE&abcMiPH,EHḄLl᪷_SRUADPE=S.ADP+S.APEyzᓽhiூZX௃(1)জBP=CE,ᳮᵫ᝞rAC,•.•ABCD,NABC=60஺...ABC&abcAB=AC,ZBAC=60°,VAAPE&abc/.AP=AE,ZPAE=60°,.,.ZBAP=ZCAE,/.ABP^AACE,).BP=CE)*49⚓/-56⚓

49AঝCE_LAD,•••dcIkᑖdc/ABD=30°,,.,ABP^AACE,/ACF=/ABD=30°,,//ACD=NADC=60஺NDCF=30°,/./DCF+/ADC=90°,.*.NCFD=90஺.,.CF1AD,ᓽCEJ_AD)(2)(1)/Ḅ01rBP=CE,CE1ADsᯠᡂ5ᳮᵫ᝞:AC,,ABCD,ZABC=60°,AABC4ACD&abc,/.AB=AC,ZBAD=120°,ZBAP=120°+ZDAP,•/APE&abcAP=AE,ZPAE=60°,*50⚓/-56⚓

50ZCAE=60°+60°+ZDAP=120°+ZDAP,ZBAP=ZCAE,.,.ABP^AACE,...BP=CE,/ACE=/ABD=30°,ZDCE=30°,VZADC=60°,ZDCE+ZADC=90°,AZCHD=90°,.'.CEIAD,).(1)/Ḅ01rBP=CE,CE1ADsᯠᡂ5)(3)AC{BD|O,CE,}EH_LAP|H,•••NABCD&.-.AC±BD,BDkᑖ/ABC,,.,ZABC=60°,AB=2-73.ZABO=30°,AO=VJBO=DO=3,).BD=6,ᵫ(2)CE1AD,VAD/7BC,.-.CE±BC,BE=2V19BC=AB=26•••CE=-=88ᵫফBP=CE=8,DP=2,).OP=5,•••AP=^52+(73)2=2•,.APE&abcPH=J7EH=V21-,SpqADPE=S«ADP+SஹAPE'SNADPE=2DP,AO+—AP*EH,*51⚓/-56⚓

51=-X2XV3+-X2V7XV2122=^/3+773=8NADPEḄ☢P&80.⚪ὃḄឋᐰabcḄᑨឋabcᑨឋa¡¢£fᐵ¤RS¥¦§¨I&X⚪Ḅᐵ©.Dஹ0ᜧ⚪ᐳ12ᑖ23.ª«ªᩲᙠ®¯°±²³ᦪ´⚪µᔊ᝞·¸rMX¹ºপ~¼ᱥI¾=D¿2+À—3Â-1,0Äᑣ6=,⚔ᙶ᪗É,ʼᱥIᐵ|Â0,1ËᡂdÌḄ¼ᱥIḄ⊤ÎÏ&.ÐÑÒÓᡃÕÖrd|¼ᱥI¾=0^+×+4”Ú0Ë,:^ÛḄ/Â0,¦ËÉ}ʼᱥIᐵ|MdÌḄ¼ᱥIy'ᑣᡃÕÝ̼ᱥIy'ɼᱥIVḄ“àá¼ᱥI”MÉ“àá”.Â2Ë~¼ᱥIy=-x2-2x+5ᐵ|Â0,¦ËḄàá¼ᱥIÉy',7ãäᩩ¼ᱥIᨵ{,M஻?Ḅèéë.´⚪XìÂ3Ëí¼ᱥIy=î6+2:—6Â4/0Ëজ7¼ᱥI᜛Ḅàá¼ᱥIÉð'=bV-2bx+a\bW0Ë,ä¼ᱥIᨵäò{óាõ&öÕḄ⚔Ma,bḄéøàáḄᙶ᪗)ঝ7¼ᱥINᐵ|Â0,ú+12ËḄàá¼ᱥIÉûᐸ⚔É4)ᐵ|Â0,ú+22ËḄàá¼ᱥIÉ᜜ᐸ⚔É4)…)ᐵ|Â0,4+/ËḄàá¼ᱥIÉᓃᐸ⚔É4)..Â஻ÉR᦮ᦪ.44ᵨḄᵨ஻Ḅ⊤.52⚓/56⚓

52yᵨூᫀ௃!"b=-4X⚔$ᙶ᪗'-2,1"y=x2—4x+501234"m<5X[a=35⚪7"জ9:_00:60ঝ4n+2ூ?௃ூᑖ᪆௃1B-1,0CᐭE=FG2+HF3ᓽKLM6=4,ᯠOBPᱥR᪆ST⚔$ᓽKUPᱥRḄ⚔$ᙶ᪗:VWKU⚔$ᐵY0,1ḄZ[$:\WKᑏM^PᱥRᐵY$0,1ᡂZ[ḄPᱥRḄ⊤`02ᐜMPᱥRy=-x2—2x+5Ḅ⚔$'-1,6,\WM-1,6ᐵY0,wḄZ[$'1:2cF6,Uy'=-l2+2w-6,᪷ghPᱥRᨵj$:KHkxlm—X+1Y+6=X—iy+2஻?—6ᨵ:VWUmḄqrtᓽK03জᐜMPᱥRy=ax2+2ax-b!aW0HuPᱥRyḄvwPᱥRTy'=bx2-2bx+a2!b^0[,Ḅ⚔$ᙶ᪗:᪷ghPᱥRᨵhxj$:yា{'|}Ḅ⚔$:a,bḄru᪷g$ᙶ᪗ᓽKMvwḄᙶ᪗0ঝ᝞:A%,AA?...AA,AANᑖYB1:B?...B,nn+InB,ᑣAA1:AA2,…AA,AAᔣᑖᐵYB1:B...B,n+In2nBZ[:ᵫ⚪ᑣKUB|B2,BB,...BBᑖ'AAA2,n+I2nn+l53⚓/56⚓

53AAA...AAAḄR:VWKUAA=2BB,AA=2B,B,23nn+123AA=2BB„,᪷g$Ḅᙶ᪗ᓽKUAnARḄ.nn+1n+1ூ?௃!(1)B(-1,0)Cᐭy=+bx-3U6=-4,y———x2—4x—3——(x+2)-+1,⚔$ᙶ᪗'(-2,1),■(-2,1)ᐵY(0,1)ḄZ[$'(2,1),•ᡂZ[ḄPᱥR⊤`'"y=(x-2)2+l,ᓽy=x2-4x+5(᝞)2,•*y——12—2x+5=_x+1-+6,⚔$'-1,6,V-1,6ᐵY0,cḄZ[$'1,2c—6,’=%F1~+2c-6,•hPᱥRᨵj$:/.FX+1?+6=lF1~+2cF6ᨵ:x2=5-mᨵ:5-m>0.m450᝞54⚓/56⚓

54(3)জVy=ax2+lax-h=a^x+-a-b,**•⚔$(-1,—Q—h)fCᐭyf=bx2-2hx+a2U"b+2b+a?=—a—bজyf-hx2-2bx+a2+a2-b9•*.⚔$(1:a2-b):Cᐭy=ax2+2ax—hU"a+2a-b=a2—b@a2+a+4b=0ᵫজঝUQ2_3Q=0,**aw0,bw0,[6=-3h⚔$ᙶ᪗ᑖ'(-1,()),(1.12),ᵫ$ᙶ᪗U“vw”Ḅᙶ᪗'(0,6)0ঝ᝞:AA1,AA?...AA,AAVᑖY:B2...Bnn+1nB-55⚓/56⚓

55ᑣAA1,AA?,…AA”:AAḄᑖᐵYB1,B...B,B2nn+1Z[:/.B,B,BB...B„Bᑖ'aAAA:AAA...AAAḄR,223n+123nn+IA]A=2B]B,AA=2BB,...AA=2BB,222323nn+Inn+]VB(0,k+஻2),B(0,+5+1)2),nn+1AnA„l=2BnBnl=2[+(஻+if-(k+/)]=4n+2.++⚪ὃ¢E£¤ᦪḄ¥ᔠ⚪:ᳮ⚪:¨M©ᔠ⚪Ḅª«¬ᦪª®75⚪'ᐵ¯.56⚓/56⚓

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