2022-2023学年贵州省铜仁市中考数学专项突破仿真模拟试卷(一模二模)含解析

2022-2023学年贵州省铜仁市中考数学专项突破仿真模拟试卷(一模二模)含解析

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时间:2023-07-02

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15■:NEKG=NEDG=90°,'.E.KஹDஹGWᐳᙊ:.NKDE=NKGE=60°,ᳮNK4£=60°,.♦.QQaLSTNᑣKl9aW•.•LSTN☢ckḄY^rGL43,Y^rGᨬZ☢c~ᨬZY^(kLMNY^92,rG8WᓽrW8ᔠY^☢c~tKa_L8ckH,ᵫ(YSTNḄឋ)K9FGḄ¢W•'KH//CD,KH9STNUCGḄ¢¥'.CG=1HK=2(EH-EK)=2(2-2Xin600)=4-2%,s"=▲2°2=L+ভ22=J⁐&202=2¶2&,Sஹ2·⚪:ºᜧ⚪9Z⚪ᐳ98ᑖ.2·½ᑏRl⌕ḄᦻÀ▊ÂஹzÂÃᡈÅÆÇÈ17.(12ᑖ)(1)ᨵSaÊ(02x+3<-1,-5x>15,3(x-1)>6,Ïᙠᐸ¢Ñ⌱aÊ(0ᡂaÊ(0Ô1RḄ2Õ16⚓/61⚓

16(2)Z[ᙠÖÆ஻(1+a)-(a-I)22·Ã᝞Ø4a(1+a)-(a-1)2=a+a2-(a2-1).......Ç=a+a2-a2-1.......ÙÇ=a-1……SÇZ[Ḅ2·ÚÇ67R┯,ÏᑏRLÜḄ2·Ã.ூᑖ᪆௃(1)᪷Þ⚪ßᢧ⌱aÊ(0ᡂÊ(0.ᯠ¶2âᓽ).(2)ãᵨäᐰæM/0┯ç.‘2x+3<-lজ(1)2:'ᔠ:-5xு15ঝ2Ê(0জíx<-2,2Ê(0ঝíx<-3ÙîÊ(0Ḅ2Õx<-3%+3<-1জÙ'ᔠ:3(x-l)>6ঝ'2Ê(0জíx<-2,2Ê(0ঝíx>3,...îÊ(0ð2'-5x>15জS'ᔠ43(x-l)ு6ঝ'2Ê(0জíx<-3,2Ê(0ঝíx>3,ÙîÊ(0ð2(Ñ⌱ᐸ¢'ᔠᓽ));(2)17⚓/61⚓

1724a(1+tz)-(a-1)2—a+a2-ôa2-2a+l@=a+a2-a2+2a-1—3a-1.ᦑ·ᫀ9.18.ô10ᑖ@2020öᡃøùú`ûüᐰøýþÿ⌕ᡃḕ╋᩟ᓄ᪷ḕᔊᑴ᝞Ḅ"#$⊤.'ᑭᵨ"#$⊤*+Ḅ,-./ᑡᡂ23ḕᔊ%&'()*᩟&',-.CD1953196119821990200020102020╋4A110204540635845117520506╋ᓄ᳛7%12%19%20%24%a53%41678᩟ᦪḄ:;ᦪ<2300A:426╋ᓄ᳛

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19"BNLAM,'.ZBNA=90°,ᙠ´M4஺¿´48N:'NBAN=NAMD,AM=AB.,.CABNDAM4D(AAS)(2)•'AABNE/\MAD,'.BN=AD,''AD=2,'.BN=2,0•'AN=4,ᙠRt/\ABN:/8=^^+[^2="2+22=2«,:.S£¤48co=2XS^ABN=S^MAD=X2X4=4,•'•S¹ÚBCA/N=S£¤48co-S&ABN~S^MAD~4yf^-8.20.(10ᑖ)᝞$Üᦪ(%W0)Ḅ$ÝgiÞßÜᦪy=QL(m-IWO)Ḅ$ÝXäå¨C,gXæäå¨4ç¨Cèæᚖ±3,·S/V4BC=3.(1)²¨/Ḅᙶ᪗5Ḅêa(2)·/8=2&,²ÜᦪḄ⊤jë.ூᑖ᪆௃(1)ìy=0,ᑣí-2%=0,ᡠx=2,ᑮZ(2,0),cC(a,b),ᵫå8cq20⚓/V61⚓

20æᡠ8(0,b),BC=-a,ᵫåḄ☢»3,ᑡñò[ᑮab=-6,ᡠ-1=-6,ᡠm=-5a(2)ᵫå48=2&,ᙠÂÀÉÀ¤ZO8:ᑭᵨÍÎᳮᑡñò[ᑮᡝ+4=8,ᑮ6=2,nÌC(-3,2),dCᙶ᪗ôᐭᑮÜᦪ:ᓽ².3পìy=0,ᑣfcr-2%=0,•,»x=2,'.A(2,0),cC(a,b)9æ'.B(0,b),BC=-a,,**S^ABC=^f•'•y(-a)b=3'ab=-6,••-1=ab=-6,m=-5,ᓽ/(2,0),m=-5a(2)ᙠRtA4O8:AB2=OA2+OB2,,AB=2᝞.,.ö+4=8,÷=4,b=±2,~>0,:b=2,••d—--37'.C(-3,2),dcôᐭᑮÂø᪆ë:k=k=2,q21⚓/V61⚓

21•••ÜᦪḄ⊤jëy=-^xù.y5X521.10ᑖ6ḼúûᢈýḄþÿᵨᑮᑭᵨᩭ8,CḄ.᝞!ᡠ#$ᙠḄ8ᜐ⍩(ᙠXᜐᙢ☢Ḅ+,-./41.6□1234CᜐḄ56763°,89ᜮ5;2<67a,=Ḅ>-5E=1.6w,E4=50w?4E,B,஺ᙠABC☢ᑁE.1F<6aḄGHIJ2F8,CḄ?KLᑮ1ME.sin63°g0.89,cos63°N0.45,tan63°g1.96,sin27°O0.45,cos270=^0.89,tan270g0.51ABPṺB■\/\4\BCூᑖ᪆௃?1E᝞!V4W8cX஺VEWEF_LZ஺XYᑭᵨZ[\8OFE7]\4ᑮDF=BE=\.6m,ᑣ/Y=40Mᯠa᪷cGᑗḄefFgJ2ᐜᑭᵨijeᳮlmn£pq=30஻?uᙠRtZVIC஺ᑭᵨGᑗḄeflmnCD,ᯠalmBD+CDᓽw.gp?1᝞!V/W4D_L8CX஺VEW£7tL/ZXxZEBD-NFDB-NDFE=90°,Z[\8஺Y£7]\'.EF=BD,DF=BE=L6m,'.AF=AD-஺Y=41.6-1.6=40m,ᙠsinZJ£F=^-=^-=A,AE505ᓽsina=—.5~p<6aḄGHI7J522⚓/61⚓

2222=22"30(2)ᙠRta/EYEF=VAE-AFV50-40ᙠRta4Cr>ZACD=63°,AD=41.6,ptan4c7)=ᚆCD'.CD=41~6—=4L6=21.22(m),tan631.96J.BC=8Z)+CD=30+21.22=51(m).~pB,CḄ751.BDC22.?10ᑖE7“Ḅ¡”£᪥¥¦§¨7ᐸᑴ⌼“¬ᔣ¯”ᦻ±Ḅ²³ஹµ¶·¸¹ºᐸᑴ⌼µ¶·Ḅᦪ/²³ᦪḄ5¼¦§¨ᑴ⌼½¾q¿ᡠ◤Á¸ᑭÃ᝞⊤pq¿²³µ¶·¹ºᑴ⌼B¾q¿ᡠ◤ÁÂ1~5~2?2Eᑴ⌼B¾q¿ᡠÅᑭÃ20310?ᐗE?1E=ᑴ⌼ÇÈq¿ᐳl◤F252ᡠÅᑭÃ7450ᐗFᑴ⌼²³ஹµ¶·¸¹ºḄᦪJ?2E=¦§¨ᡠÅᑭÃ7700ᐗÊÇÈq¿ᙳᨵᑴ⌼Fᑴ⌼ÇÈq¿ḄᨬI.ூᑖ᪆௃?1EÎᑴ⌼²³ᦪ7x¾¹ºᦪ7y¾ᑣµ¶·ᦪ75x¾᪷c⚪ÒᑡnÔᐗÕÖ×ᓽwJ?2E᪷cÇÈq¿ḄᑭøØX700ᑡnÙᦪᐵÛÜᯠa᪷cÙᦪḄឋÞFnᨬI.gp?1EÎᑴ⌼²³ᦪ7x¾¹ºᦪ7y¾ᑣµ¶·ᦪ75x¾23⚓/61⚓

23ᵫ⚪Ò4páὡ8ã=25.,20x+3X5x+10y=45Cg4:(X=1°.ly=10F:ᑴ⌼²³ᦪ10¾µ¶·ᦪ50¾¹ºᦪ10¾J(2)Îᑴ⌼Èq¿7w¾²³ᦪ“¾ᑣµ¶·ᦪ5¾¹ºᦪ(w-6஻?)¾ᵫ⚪Ò4p20+3X5w+10(w-6m)=700,g4p=^70,wm+2w/"êḄÙᦪ2...WìmḄíMîíM•.•ÇÈq¿ᙳᨵᑴ⌼Êw,Mᙳ7G᦮ᦪ,.•.ñ/=22,wᨵᨬIòijwM0=75,~pᑴ⌼ÇÈq¿ḄᨬI775¾.23.(12ᑖ)᝞!ᙠ஺஺4C7஺஺Ḅõö487஺஺ḄH£/᪗ḄV£WN8ḄᚖúûX”û஺஺XN,ᑖüýþE8,CN.(1)EMHBEḄᦪᐵÛ/BE=ஹ/EMJ(2)FÿEB=CN(3)MB=\,ᨩᑖḄ☢.ூᑖ᪆௃(1)Ὺ!"!ᓽ$ᑮ&';)24⚓/.61⚓

24(2)᪷2ᚖ45ᳮᑮNEM5=90°,=>//5E=N8EN=45°,ᑮAE=BNA᪷2⚪Cᑮ⊈=EA=FGᑮH=I(3)ᐜK!"!ᑮNEZ8=30°,M>ᑮNEO8=60°,OE08P"!AᑣOE=BE=MIᯠSaOEBUOOCN,ᯠS᪷2ᡧḄ☢WXY"!☢WXᓽ$.K(1)..7C[0OḄ4A\E]Ḅ^\AAZABE=45°,■:ABLEN,...O8MEῪ!"!A'.BE=y/21EM,ᦑ`ᫀ[BE=42EM-,(2)bcEO,4CḄ4AEdḄ^\AAZAOE=90°,AZABE=^ZAOE=45°,2:ENL4B,ᚖe[\M,NEMB=90°:.NABE=NBEN=45°,AE=BN.•••\EgḄ^\A*'•AE=EG•••EC=BN-AEC-BC=BN-BC.•••EB=S)25⚓/.61⚓

25(3)bcZE,OB,ON,,:ENLAB,ᚖe[\M,:.N4ME=NEMB=90°,ᵫ(2)J/ABE=/BEN=45°,'.EM=BM=\,noBE=^M,:.BE=K,:ᙠRtZX/EA/^AEM=1,AM=MItan/E/B=—,V33'.ZEAB=3>0°,"'ZEAB=—ZEOB,2'.ZEOB=60°,0OE=()B,'./\EOBP"!A'.OE=BE=y/2>n•••w=xA'.BE=CN,:.COEB9AOCNCSSS),'.CN=BE=y[2nᡧOCN=§°$ᑍ,&oov=/cN•CN=£xV^X0᝞=HobU6NNNoN__1^3,Sᨩ=Sᡧ஺CNFS^OCN=—JT-ON)26⚓/.61⚓

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27ᦪd⚔8(4,4),஺(0,0),!OPᦪḄ⊤i%jy=a(x-4)2+4,k஺(0,0)9ᐭᦪ⊤i%;WS-1,4OPᦪḄ⊤i%jy=(x-4)2+4,ᓽy=-L/+2k(0WxW8)2-4(2)34opqᑮᜮᳮᵫ᝞tS•.•v6஺0.4xvZ1.2\34yzᙠv|ᜮ,ᵫ⚪WS346஺67j0.4+3XI.2=1,2Ok=19ᐭy=--X2+2X,4;WS=1.75,,4V1.75m>1.68w,.♦.34opqᑮᜮ2(3)"ᱥ$N=-*2+ᙠஹḄᑖE᫑]ᙠI☟X☢Ḅ᎔DᐵXᡂGH.᝞ᡠᦪḄGH[y$x=4,0WxW4ᡈx28yḄxḄᜧvkᦪᔣIJ஻ᓫN¡WIJ=Ḅᦪ,᝞ᡠ_28⚓/c61⚓

28VA2τiimS8T/\INஹIz*J-**Ix=4+x•••IJoᦋ£¤᜜¤>ᜧvIJ=ᦪḄGH¦[y$x=4+/n,mWxW4+wᡈx>8+wIyḄxḄᜧv8WxW9yḄxḄᜧvᦪW"7Ḅ[Sজ¨W8©4+x29,W5WmW8,ঝ8+mW8,W"?<0,ᵫ⚪dm>0,xW0o¬ᔠ⚪®¯°ᡠ±xḄ[5WMW8.25.(12ᑖ)(1)▅³ᳮ;ᡃµ[ᨬ·¸;¹º»ᳮḄµ¼½¾¿ÀÁÂᡃµÃ9ḄᦪÄ℉ÆÇᕜÉÊËÌ.Í9ᦪļÎÏj¸Ðѹº»ᳮÒᑴ¸¾Ô᝞জᡠḄ''Ö"=4H½j“ÎÏÖ”.᪷“ÎÏÖ”ᑏ¹º»ᳮ>Úᳮ.Û2(2)ᡂÜᜐᳮ¹º»ᳮḄÐÑÞᨵàá᝞ঝ[Ã9Ḅ¾âÐÑÞS.ã¤4C0EḄ஺ÆFGLHP,k¿ᑖᡂ4äᡠᑖᡂḄåᑖ>BCjæḄã¤ាèéêᡂZ8jæḄã¤.ëZC=12,BC=5,ᡠḄ2(3)ìíî᝞ঞ㤾æjðæᔣ᜜Æyñòñ¤-óyñòñ¤Ḅ|yñæᑖôᔣ᜜Æã¤õö÷¾.ÛøWᑮ“¹º᪛”Ḅᑖ¤.!ᜧã¤NḄæj»஻vã¤4,B,C,஺Ḅæᑖôjb,c,d._29⚓/c61⚓

29údNl=N2=N3=a,ña(0°2=c2(fghg1iᩩfgOḄk0lmnoOḄk0)Up᝞I_•.•᝞rজ:ᵫfgOPᑖsQa,bḄtuᐰmḄfghg1iᜮxuOPQ(b-a)Ḅy/01zᡂḄxuOPQcḄᜧ/01'.4^,ADEḄ☢-+/01EFGHḄ☢-=/01ABCD:☢-g[J4X^-ab+(b-a)2—c2,2᦮ᳮ&_a2+b2=c2^(2)ᵫ⚪%&_/014CQEᑖᡂ4uᐰmḄtO1CES=஻FD=b,."+6=12জ•••/0148஻:ᵫ/01ACDEᑖᡂḄ4uᐰmḄtO1l/01CBLMzᡂ30⚓/61⚓

30:£E=EF,KF=FD,EK=BC=5,•£F-KF=EK,••a-6=5ঝᵫজঝ&_a+b=12,la-b=5&_஺=2.EF=^-X2(3)c+b=n,ᳮᵫ᝞I_᝞rঞᡠ_C/01EḄOPQe,/01SḄOPQ/,,."Zl=Z2=Z3=a,NPMQ=ND'OE=NB'C#=90°,APMQsAD'OES,.0E;,DZEyPM_PQ"CzAzAB'C'BAᓽ£==enfne2=cnJ/=bnIᙠRtZXZECᵫ\]^ᳮ&_e2+f=n\.•.c7?+b஻=஻2,c+b=n.31⚓/61⚓

31DL.জ32⚓/61⚓

322022-2023ḕὃᦪ⚗ẚᔁLxஹ⌱x⌱_ᜧ⚪ᐳ10uy⚪¢y⚪4ᑖᐳ40ᑖ£⚪¢y⚪ᙳᨵAஹBஹCஹDtuᜓ⌱ᫀᐸ©⌕xu:/«Ḅ¬®/«ᫀḄ¯°±²ᙠ³´Ḅ⚪ᓱ¶.1.2021·2ᨴ25¹ᐰºῃ¼½¾a⊤¿ᜧÀᙠÁÂÃᙠᜧÀ¶ÄÅÆÇ_“ᡃºῃ¼½¾ᡊË&Ìᐰ☢Íᑭ.Ï:ºÐÑḄÒᜧᐝ₫:ºḄÒᜧᐝ₫:ÕÑÖḄÒᜧᐝ₫×”ØÃ᪗ÚI9899ÛÜ᩟¼ÞÐßᐰàῃ¼á⌼ÌãxuäåæçḄÐè᜻ê.98990000ᵨëìíᦪï⊤Q£A.9.899X106B.98.99X107C.9.899XIO8D.9.899X1072.᝞r:xuð☢QmOhg1Ḅ/hñò,úḄûür:()Æcß.ý3.ᨵ6óôõᦪìö÷ᑖᦪᑖs:_125,130,130,132,140,145,ᑣÏþᦪÿḄᦪ£A.130B.132C.131D.1404.Iᑡm/«Ḅ:£A.|-3|+tan450=-2B.(xy)5-r(ߟ)5=x10yC.a-b2=a2+2ab+b2D.x3y-xyi=xyCx+y)(x-y)5.fù48ஹBCஹCDஹEG᝞rᡠZl=z<2=80°,Z3=40°,ᑣᑡ┯ḄB/D33⚓/61⚓

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3518.᝞$)EஹᑖLM43஺ḄI/8ஹ8CEḄÁr)àáNE=BF,ã(CEஹDF,qrG,ã(4G,²LMḄIt2.ᑣ^åZGḄᨬ¡t.JஹSç⚪F¨ᜧ⚪ᐳ4s⚪)ª⚪10ᑖ)ᐳ40ᑖ)⌕ᨵS⚪ḄÌ⌕cÊG19.F10ᑖGéêëìíîéêëḄìí)ªïìíḄ%ð16FñᐗG.óªïôðt22FñᐗGØ)ªᨴö4ïìí.᪷øùú&û)᝞üýþ%&ÿ.ᑮḄᵨ/ᐗᨴxx24!ᦪᐵ$Ḅ%&'(ᦪ)᝞+⊤:X45678200.511.52156᪷)ᡠ9ᩞᧇ<=>ᡠ?Ḅ!ᦪ@AᑏCxḄᐵ$D?2FGH22ᐗIJὃ⇋ᐸNᡂPIQᨴᑭS᜛=FG-yi-Yx,56᪷)[\ᩩ^I_Cᨴxx24H`abIᑭScᑭSd`ac20.10ᑖ᝞fI4B[CD\]O,ᙠhZOCh8஺஺>Iᨵ+ᑡopᩩ^q®OC=OD,ঝAC=BD,ঞ=.56ᙠ[\opᩩ^>⌱stpHᩩ^IuvpwxHytpᩩ^zCᩭḄ|}I~6Ḅ|}◤_ᑏCvḄ⌱.16⌱Ḅᩩ^Hஹ,|}H;26Ḅ|}.36⚓/61⚓

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392022-2023ḕὃᦪ⚗ẚᔁLஹ⌱⌱*rᜧ⚪ᐳ10ÊË⚪MË⚪4ᑖᐳ40ᑖ'r⚪MË⚪ᙳᨵAஹBஹCஹDÎÊᜓ⌱ÐᫀᐸÓ⌕ÊpÔÕḄgÖ×ÔÕÐᫀḄØBÙÚᙠÛÜḄÐ⚪ᓱ.1.2021Þ2ᨴ25àᐰâῃäåæ¬ç⊤èᜧéᙠêëìᙠᜧéíîïð“ᡃâῃäåæᡊÄô2ᐰ☢õᑭ.÷pâEøḄùᜧᐝ₫pâḄùᜧᐝ₫pûøüḄùᜧᐝ₫ý”ÿ᪗9899᩟ᐰῃ⌼Ḅ᜻.98990000ᵨ!ᦪ#⊤%&')A.9.899X106B.98.99X107C.9.899XIO8D.9.899XI07ூᑖ᪆௃!ᦪ#Ḅ⊤%./&“X10”Ḅ./ᐸ1஻&᦮ᦪ.45”Ḅ78⌕:;<ᦪ=ᡂ஺8@ᦪABCDEF஻Ḅ7G@ᦪABCḄFᦪHI.J<ᦪ7K108”LM᦮ᦪ.N:98990000=9.899X107.ᦑ⌱RD.2.᝞TLU☢&WXYZ[ḄMY\]^Ḅ_`TL')ூᑖ᪆௃aᑮcM☢:ᡠeᑮḄT[ᓽg.NR᝞Tᡠ%ḄMY\]ᐸ_`TLh[h[iᜮᨵᩩmᔣḄop.ᦑ⌱RA.3.ᨵ6FqrᦪstᑖᦪᑖuLR125,130,130,132,140,145,ᑣwxᦪyḄ1FᦪL')A.130B.132C.131D.140ூᑖ᪆௃᪷y1FᦪḄ{|}Nᓽg.~40⚓/61⚓

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42—6_-1_►—~~1_►C.01234D.01234ூᑖ᪆௃NiᐗW/æᙠᦪäËçèiW/ḄNã.N:(9-3x>°®17-2x<5ঝNW/জeRx<3,NW/ঝeRxel,᝞TᙠᦪäË⊤%W/জஹঝḄNãgðᡠ}W/xḄNãLRlWx<3.ߟτ—•---1---6»►01234ᦑ⌱RB.8.ñðpò=ó+2õஹöஹY÷▲ᑣpù=ó+2Gúᱥpù=f-2x+3ḄüAᦪ&()A.0B.1C.2D.1ᡈ2ூᑖ᪆௃ᐜᑨ¬᝕ḄMÿឋ.ᑭᵨᑨᓽᑨᦪ...•y=fcv+2ஹஹ▲.!>0.ὶy=Ax+2#$ᱥ&=f-2x+3ᡂ(y=kx+2y=x^-2x+3Ax2-2x+3=Ax+2.Ax2-(2+!)x+l=0..A=(-2-i)2-4=3+4%\'k>0.'.*>0.•y=++2#$ᱥ&-2x+3Ḅᦪ.2.ᦑ⌱C.143⚓/461⚓

439.᝞7ᙠRtA48C9,9c=90°,48=10,BC=8,ᢥ<ᑡ>?@7:>?1BZ.ᙊDEF/CḄG.HI@JᑖZCஹAB\]DஹE.>?2ᑖB஺ஹE.ᙊDᜧFNOEḄG.HI@JOJF2>?3@PAMBCFF.ᑣ/RḄG.ShC.473D.6Tூᑖ᪆௃ᑭᵨXY@7(ᑮ“\]ᑖNB4C,ᡝ@RF᝞7᪷`a]ᑖḄឋb(ᑮF"=FC,᪷`cdeᳮghi/C=6,j“'=x,ᑣF”=x,ᯠmᑭᵨ☢op(ᑮNX10x+NX6X=LX6X8,(X=3,ᑭᵨcdeᳮghᨴrḄG.222ᵫ@p(tr]ᑖ/8/C,iF]dFHL4B\H,᝞7R]ᑖNB/C,FHLAB,FCA.AC,'.FH=FC,ᙠ*4BC9VZC=90°,AB=[0,BC=8,,,/,C=VAB2-BC2=6,jCF=x,ᑣF=x,,SAABP^S2ACF-S>ABCI.♦.JLX10X+NX6X=LX6X8,(X=3,222ᙠRtCF9AF=JA\2}F2=J62+32=3ᦑ⌱B.144⚓/461⚓

44B10.~$ᱥy=ax-hh2+4#xᨵON-1,0,B3,0,$ᱥy=ax7?-2+4#xḄS4,0,ᑣḄSA.5B.-1C.5ᡈ1D.-5ᡈ-1ூᑖ᪆௃ᐜᑭᵨᦪḄឋb(ᑮO$ᱥḄᯠmᑭᵨAᡈBᔣ](ᑮS4,0(ᑮḄ.•..$ᱥy=ax-A2+%Ḅ.x=஻$ᱥy=“x-A-w2+«Ḅ.x=h+m,”-1,0]mḄ.S4,0,ᑣ"?=4--1=5B3,0]mḄ.S4,0,ᑣw=4-3=l,ᓽmḄ.5ᡈ1.ᦑ⌱C.ஹ⚪SYᜧ⚪ᐳ8E⚪E⚪4ᑖᐳ32ᑖ11.⌕ᑖᨵ¡ᑣxḄ¢¤.x+1ூᑖ᪆௃¥ᑭᵨᑖᨵ¡Ḅᩩ§ᑖ᪆(i¨ᫀ.⌕ᑖ^ᨵ¡ᑣx+IWO,x+1(xW-1.ᦑxK-1.12.ghS«+¬SV3-V2=3ூᑖ᪆௃ᐜ᪷ᓄ.ᨬ°᪷ᯠmᑭᵨ]±²gh.³=3ᢚ3ᡃVs-V2=3S¶&SV3-V2145⚓/461⚓

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48IJZE,᪷L⚪de=40=I,ZBi=Z£>=90°,/ᕒ48i=30°,ᙠRtA/lBiEhRt/\ADEi,rAE=AE'AB[=AD'r.Rtuv81EyRtz^/DE(HL),VAB\AE=ZDAE=—ZBiAD=30°,2DE=1,Wr)E=ADV33_•,•S1xoEBi=2S/VIOE=2Xm0ADXDE=y'^,23rSᗗEᑖ=2S34/sc஺-S14v஺1Z=2XI-=2-2^^OOᦑ218.᝞/EஹFᑖ3443஺Ḅ1/8ஹ3cḄ74E=8IJCEஹDF,[7G,IJ/G,34Ḅ12"2.ᑣZGḄᨬ]"ூᑖ᪆௃᪷L34ḄឋNW/B=8C=2,NB=NDCF=9G,ᯠᑭᵨ“1T1”uDChuCBEᐰ᪷LᐰVT4T[hTḄT[WNQGC=90°,vGᨬ:GḄᙢB᪷L¡ᳮW£¤.᝞/1,¥CDḄi7H,IJGH,49⚓/b61⚓

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50/2...7Gᙠ(“"ᙊC”"®ªḄ#ᙊ¯°7G±஺²ᔠ:4Gᨬ4µ:AG=A0=^AC=y/2<ᓽ/GḄᨬ]=⊟.ᦑ⊈;Vஹ¹⚪º»ᜧ⚪ᐳ4¾⚪¿⚪10ᑖᐳ40ᑖ⌕ᨵ⚪Ḅ⌕ÂÃZ19.º10ᑖZÆÇÈÉÊËÆÌÇÈḄÉÊ¿ÍÉÊḄÎÏ16ºÑᐗZ.°¿ÍÓÏ"22ºÑᐗZ:¿ᨴ4ÍÉÊ.᪷LÕÖ×Ø᝞ÙÚÎ×ÛÏ.ÜÂÕÖÝÞWᑮß¿ÍÛÏḄàᵨáºÑᐗZ±ᨴâxºÍZºxä4ZÆÌåᦪᐵæḄçèᦪL᝞é⊤X4567800.511.52º1Zíî᪷LᡠðᩞᧇhóiᡠôḄåᦪeõᑏ“±xḄᐵæöw=ø-2ºx/4Z.:º2Z¿ÍúÓÏ"22Ñᐗûὃ⇋ᐸÿᡂᨴᑭ>=-yi-x,᪷ᩩᨴ!xx>4$%&'ᑭ(ᑭ)%&(ூᑖ᪆௃1ᵫ⊤1ᦪᑨ456xᡂ7ᦪᐵ9:2᪷<=>ᨴᑭ᜛=-yi-x,ᑭy6x@Ḅᐵ9ᑭᵨCD7ᦪḄឋFᑭGHᨴ!.J>1ᵫ⚪LMN>஻6xᡂ7ᦪᐵ9PQ=RRZW0,Vx=4'yi=0,x=6'yi=LY51⚓/]61⚓

51.j4k+b=0,16k+b=lJc>d2,b=-2vi=—x-2(x4).2ᦑyi=/x-2(x24).(2)ᵫ(1)c>yi=-^x-2(x24),:.y=[22-(A-x-2)-16]x=-Ax2+8x=-A(x-8)2+32,>.x=8'op=32,q>ᨴ!$8'ᑭ$32rᐗ.20.(10ᑖ)᝞uAB[CD\]O,ᙠwZOC6w80஺{ᨵ}ᑡᩩ>জOC=஺஺,@AC=BD,ঞN/=N8.ᙠᩩ{⌱$ᩩ$ᩩᩭḄḄ(◤ᑏ-Ḅ⌱).(1)⌱Ḅᩩ$জஹঞ$(2):(2)Ḅ.ூᑖ᪆௃(1)᪷ᐰḄᑨᓽM⌱ᩩஹ;(2)ᵫ⌱Ḅᩩw4OC¢w80஺ᓽMc.(1)J>ᵫ44S,⌱Ḅᩩ)>জঞ)ঝᦑজঞঝ(qᫀ¦):(2)>ᙠwZOCHw80஺{'NA=NB•A0C=ZB0D>OC=ODL/\AOC^/\BODCAAS),Y52⚓/]61⚓

52'.AC=BD.21.10ᑖ«᪥®¯⚪$“■²³´N%&”Ḅ¶·¸¹º»ᑖᐜ½¾¶·¶·¿ᔁPÁºÂóºJஹ8>ÄźJஹC>ƺJஹD'¦ÇºJÈÉ⌕ᐜ½ËÌËᐸ{ḄÉιÏи᪵ḄÒ=᪷¶·ÓÔᑴᡂ᝞uᡠצØÙḄ⚣ᦪᑖÛ⊤H⚣ᦪᑖÛÜÒu᪷ÝÞßàq}ᑡᡂá:É⚣ᦪ⚣᳛A200.4B15bC100.2Da0.11⚣ᦪᑖÛ⊤{5,b=0.3,ä⚣ᦪᑖÛÜÒu⊡ᐙØÙ:2çè᪥ᨵᐜ½100é᪷¸᪵¶·Óêëè᪥“óºJ”H“ÄźJ”■²³´Ḅᐜ½ᐳᨵ%&é(3ᙠ“óºJ”■²³´Ḅᐜ½{«íᨵ5ᐜ½ᐸ{3ᵱ2᝕ðᑜᙠ5ᐜ½{Ïи⌱oᐭ■²óôὅö÷ᵨᑡ⊤ᡈù᪛ûuḄÒᡠ⌱ᐜ½{ü&ᨵ᝕½Ḅᭆ᳛.ூᑖ᪆௃1᪷⚣᳛=M᦮Mðëc]ᦪÿ஺ஹbḄ⊡ᐰ⚣ᦪᑖᦪ;2᪷᪵“”“"#”ᡠᓰḄ&ᑖ"'()1000,“”“"#”Ḅ,ᦪ-3ᵨᑡ⊤2⊤34ᑗ678Ḅ9:;<=>?@ᐜBCDᨵ4@᝕BḄᭆ᳛.J53⚓/61⚓

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54ூᑖ᪆௃ᑭᵨ┦ª«ᦪᐵ⊤3MEஹMF,᪷EF=MF-ME=40m6ZM=54.6w,DF,᪷xḄvk3®ᓽ6Tᫀ.P᪷⚪²6uP³´µ45஺஻·¸µ:AB=MD=\20m,ᙠRtZ\NAffiAffi=/Mtan45°=AM,ᙠMF=AMtan60°=-f^4M,;EF=MF-ME=4Qm,-AM=4Q,'.AM^54.6(m),.•.஻º54.6X1.73=94.46(w)½஺=120-94.46=25.54(w),25.54+3=8.5,CD⌕UrsḄJ9x7¡{ᓤ1()}~□ᐝ᯿ᑮUxḄ᜜ᜋ.TPCD⌕UrsḄJ9x7¡{ᓤ10}~□ᐝ᯿ᑮUxḄ᜜ᜋ.³ஹ(ᜧ⚪¾ᑖ12ᑖ)23.(12ᑖ)y¿⌴ÁÂk=ÃÄÅᦔ᳛(ᑜÈ4ஹB?fÉÊḄ®ᘤ,ᩭÍÎÏᱥÑuÒAÉ®ᘤ,"ÒBÉ®ᘤ,ᜩÓÍÎ20ᔴÕ3Ò4É®ᘤ,W2Ò8É®ᘤ,ᜩᐳÍÎÏᱥ460ᔴ.(1)ÒAÉ®ᘤ,WÒBÉ®ᘤ,ᜩᑖÖÍÎÏᱥÓDᔴ£(2)Ҕɮᘤ,×Ø3ÙᐗÒ8É®ᘤ,×Ø2ÙᐗUÁÂ(ᑜÛÈÜஹ8?J55⚓/61⚓

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56ErOFூᑖ᪆௃(1)!OE,᪷#ᙊᕜ&'ᳮ)NZE8=90°,᪷#&*ᑖḄ'+,ᙊḄ-./.01.&2.34ᣚ6)/OEr=90°,᪷#ᑗḄᑨ''ᳮ6)89(2)᝞;/<஺஺Ḅ=x,ᑣOE=O8=x,᪷#?@'ᳮᑡBC6)xḄD/EFEBFs"EF,ᑡGHIJK=M=N/<ᑣ4E=2a,᪷#?@'ᳮᑡBCAEEF2026)஻ḄD/EBC஻EF,ᑡGHI6)89.(1)E!OE,U9ḄV/:.NAEB=9Q°,ᓽ/ZEO+NOE8=90°,*ᑖNC48,.NCAE=NBAE,''ZBEF=ZCAE,'.NBEF=NBAE,•'OA=OE,'.NBAE=NAEO,'.NBEF=NAEO,:"BEF+NOEB=90°,ZOEF=90°,57⚓/61⚓

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