2022-2023学年北京市海淀区中考数学专项提升仿真模拟试题(二模三模)含解析

2022-2023学年北京市海淀区中考数学专项提升仿真模拟试题(二模三模)含解析

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时间:2023-07-02

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35D,EA'----------------------A.25B.23C,35D.326.᝞஺஺Ḅ%2,/஺஺7S0஺1.¯8(7o஺᝞°N8/C=60஺±²0஺Ḅ!()BKA.6C.1D.227.Dgᦪ³1´µgᦪᑣ஻7ḄJ!()A.1B.0C.0.5D.8.¶·¸ᨵ4§ᳫ᪗ᨵ2,3,4,5,ᐜ»¼S§½¾¿ÀÁᯠÃÄ»¼S§ᡠ»¼Ḅz§ᳫᦪÅÆÇᜧo6Ḅᭆ᳛!()9.᝞XῪ/Z?ABCḄ⚔AᙠÌ⚔Bᙠx6Ḅ67⚔Cᙠgᦪy=«(xx>0)Ḅ7ÍT[AC=BC,ᑣAABCḄ☢ÏᜧBÐᓄ|}!()J'*A.KÒKÐB.ᐜÓᜧÃÔBC.ᐜÔBÃÓᜧD.ᐜÓᜧÃKÐ10.ÕÖ×ᔆÙᨴÛ.ÜÝ50Þ§F/ßà.ÜÝ196Þ§.áᔆâஹãᨴÛäᙳæᨴḄÓ᳛x,±²xçèḄ¥!A.50(1+x2)=196B.50+50(1+x2)=196F36⚓/I65⚓

36C.50+50(1+x)+50(1+x)2=196D.50+50(1+x)+50(l+2x)=19611.᝞?43coḄ>2,BE=CE,MN=\,#RMNḄzéᙠ8ஹ7ëT,DMu"BEDஹMஹN⚔Ḅ/Z?ìí.AîB.C.ᡈD.ïᡈ.5555537512.ð>?Ḅ>ñò6,ᑣáð>?Ḅ>!()A.B.2C.3D.2G13.(1)!S§óÒ,ᱥ#᜜?Ḅõ᫑÷☢ᙠ(1)ᙢùuõ⚔(õ᫑úḄ)û÷☢2in,÷☢ü4m.᝞(2)ýä☢\Zᙶ᪗lᑣ,ᱥ#Ḅᐵl2!()"1"2A.y=-2x2B.y=2x2C.y=-0.5x2D.y=0.5x214.᝞ZNa>7ḄþS4CJ_8coC,CDABஹD,ᑡᵨ#R´⊤BDBCADCDA.B.C.------D.-----BCABACAC15.ᦪy4+xḄᔣa(a>0)ᓫ,ᑮᦪy4-3x+2ḄᑣaḄ()37⚓/65⚓

37A.1B.2C.3D.4ஹ⚪16.%&x2-3x+l=0Ḅ⚗.ᦪ/___.17.᝞345/6%57848ᑮ£,;=ᑣN8CE=18.᝞ᵯ?PᙠBᩚABḄ6D%ABᙠ?ᐝFḄGHCD,AB஻CD,AB=1.5m,CD=4.5m,LPᑮCDḄMN2.7m,ᑣABOCDPḄMN/m.PA/\B/\19.᝞ᡠSḄTUVWXD%ḄVYZ[F%ḄVYZ1,ᑣ1—J.(^“ு20.᝞6%5ABCDO6%5EFGH/d5efA(0,5),D(0,3),E(0,1),H(0,4),ᑣdḄᙶ᪗/.21.ijk|1-43|+3tan30°-(73-5)°-(-1),.22.(x+3)(x-1)=12(ᵨr%s)38⚓/65⚓

383ஹuv⚪k23.᝞ᙠ☢yzᙶ᪗.WRtZXABCḄ~⚔Lᑖ/A(—3,2),B(0,4),C(0,(1)AABCLC18()஺Ḅ3.CLABC,AḄLᜩḄᙶ᪗(0,-4),Ḅk3kCk(2)LᑮyᑏḄᙶ᪗(3)ᙠᐭDᨵLP,;PA+PBḄᨬyᑏLPḄᙶ᪗.24.ᵬT᥎ᳫ¢£k¤¥¦Ḅ§HW¨ᨵ©ªᜧḄ3ᳫᳫDᑖ᪗ᨵᦪ¬1,2,3.✌ᐜᵬ¯W°±᥎ᳫᯠ¯ᒕFḄᳫW°±᥎ᳫ´µᳫDḄᦪ¬µᜧḄ¶·.(1)¸ᵬ᥎ᑮ᪗ᨵᦪ¬3ḄᳫḄᭆ᳛(2)»¢£¼ᔩ¾▊¦ᳮᵫ.25.᝞Â□ÄWÅᦪÅÆᙠÅÇÈ“ᑭᵨ~zᦪÊË”.⌱ÎÊÏÐÑ-ÒÓÔᱥBCḄËÖ.רᐜᙠÙᚁDḄDᜐÊÓÔᱥ⚔ḄÜz30஺.ÝDNᙢ☢ḄËÖDE=5m.ᚁßEA=10m,ᯠᙠAᜐÊÓÔᱥ⚔BḄÜz/50஺LE,A,Cᙠà&ÖáD¸ÓÔᱥBCḄË.(âãäᶇ᦮ᦪ)26.᝞ᙠWN/C8=90°,MNஹCḄPQMN//AB,DRABSTUNஹஹçLDVDELBC,èyáXE,ᚖêëìC஺ஹBE.39⚓/65⚓

39MCEN(1)¸íkCE=ADL(2)î஺ᙠWLï3458ECD/ðñ345¾▊¦òḄᳮᵫ(3)஺48WLᑣî//=ï3453EC஺/6%5(yᑏvᫀ).27.ôõÅöẆøùúûüýþF⁚40ᑖᐜḄᶇᦟḄᓄᓄ.ᐜḄᶇ⌲ᜮᨵ!ᐜḄᶇ"ᢝ$%ᳮ'Ḅ()*᝱,ᐜḄᶇᑖᦣ../ᑖ᪆12ᐜḄᶇᢣᦪP!x(ᑖ)Ḅᓄ78᝞:;ᡠ=(ᐸN8ஹ3Cᑖ@%AC஺%CDAḄEᑖ)F(1)GHA48,DAC஺ḄI᪆JKᑏHMNḄOPRS(2),TUᑖVTWᓝᑖYZ$[ᐜḄᶇ\]^(3)⍝ᦪ`ab⚪◤G19ᑖ%e$f⌕GᐜḄᶇᢣᦪhᑮ36,jk〉mn᣸ὁqᔲᙠᐜᶇhᑮᡠ◤Ḅ*᝱:Itu⍝᪗⚪^0|102528.᝞;w2xAPAy஺஺zAஹB{AE|஺OḄx}{C%OO{~ACᑖZPAE,CCD_LPA,ᚖ%D.(1)GFCD%(DOḄᑗAS(2)DC+DA=6,00Ḅx}%10,GABḄ.29.᝞;ᱥAy=ax2+bx-4VxyzA(4,0)ஹB(-2,0){Vyyz{C,{P|AAB){({◀᜜){PPD஻AC,yBCz{D,CP.᝕᝕(1)GᱥAḄI᪆JS(2)m){P)ᑮ[ᜐBP2=BDBCST40⚓/65⚓

40(3)m4PCDḄ☢G{PḄᙶ᪗.T41⚓/65⚓

412022-2023ᓅὃᦪ⚗ᓣ⚪*ஹ⌱⌱:1.᝞;|ᵫY¡¢£¤ᡂḄ¦£;*§Ḅ¨©;%ª«ூᑖ᪆௃®ᑮ¯¡☢°ᡠ±ᑮḄ;*ᓽ1.ூ³I௃IF¯¡☢°1±ᑮᐳᨵ4ᑡ·ᑡ¡¢*Ḅ¸ᦪ¯¹ᑮº»¼%3ஹ1ஹ1ஹ2,ÀÁÂ⌕D⌱⚗Æᔠᦑ⌱D.É⚪ὃËeW©;Ḅ2ÌÍÎÏШ©;|¯ᱥ£Ḅ¡☢°±ᑮḄ;*|I⚪ḄᐵÒ.2.:ᑡᐗÔ¼¢Õᨵ¸ÖY×Ḅ.ᦪ᪷Ḅ¢Õ|ª«A.ªx-1«2=0B./+219=0C.X2+4=0D.x2x1=o++ூ¡ãäᫀ௃Bூᑖ᪆௃᪷æᐗÔ¼¢Õ᪷Ḅᑨ@Jᑖ@èéêḄPëìᑨíᓽ1.ூ³I௃Aஹê=ª«,¢Õᨵ¸Y×Ḅ.ᦪ᪷SBஹê=4+76=80>0,¢Õᨵ¸ÖY×Ḅ.ᦪ᪷SCஹê=-16<0,¢Õóᨵ.ᦪ᪷;DஹA=l-4=-3<0,¢Õóᨵ.ᦪ᪷.ᦑ⌱FB.3.ᙠöᙶ᪗÷øᦪy=+VÔ¼øᦪy=x?Ḅ;û1q|ª«.T42⚓/65⚓

42ூ³I௃ý⚪ᑖ᪆FA.ᵫxAVyḄy{ᙠyḄþÿ“20,ᵫ-m>0,┯C.ᵫᱥyḄᙠyḄm<0,ᵫ-m<0,┯D.ᵫᱥyḄᙠyḄm<0,ᵫ-m>0,ᦑ⌱D.ὃ1.ᦪḄ2.ᦪḄ.4.᝞"#ABCDḄ$%ACஹBD'(0,CE஻BD,DE஻AC,*AC=4,ᑣ,-#OCEDḄᕜ/012A.4B.8C.10D.12ூ4ᫀ௃Bூ78௃8:•••,-#ABCD0"#.OA=OC,OB=OD,;AC=BD,/.0A=0B=0C=0D=2,=43⚓/@65⚓

43CE஻BD,DE//AC,,-#DECO0AB,-#VOD=OC,,-#DECO0C#.♦.OD=DE=EC=OC=2,ᑣ,-#OCEDḄᕜ/02+2+2+2=8,ᦑ⌱B.5.᝞ᙠDABCDEE0CDFGHAEஹBD,;AEஹBD(F,SS=4:25,ADEFAABPᑣDEEC=[]ூ4ᫀ௃Bூ78௃•••,-#ABCDIAB,-#.AB஻CD.".ZEAB=ZDEF,ZAFB=ZDFE/.JDEF^ABAF,,^ADEFSAABF=DEAB2,S^DEFS^ABF=4:25ADEAB=25VAB=CD,ADEEC=23ᦑ⌱B6.᝞஺஺ḄL02,M0஺஺FQO_LN3C(஺᝞ONB/C=60஺PQḄ/I12=44⚓/@65⚓

44A.-\/3C.1D.22ூ4ᫀ௃Cூᑖ᪆௃ᵫ(NB/C=60஺᪷Vᙊᕜ%XᳮZ/8OC=120஺

45ூ78௃⚪ᑖ᪆᪛:+,2345/TV.x/Vx2345234523452345•.•ᐳᨵ16tḄOḄ{ᳫᦪᜧ(6Ḅᨵ10t,Ḅ{ᳫᦪᜧ(6Ḅᭆ᳛I—168ᦑ⌱C.ὃ1.ᑡ⊤¤ᡈ᪛¤2.ᭆ᳛.9.᝞Ὺ_%#ABCḄ⚔Aᙠ¨⚔BᙠxḄ⚔Cᙠᦪ©ªxx>0Ḅ«¬;AC=BC,ᑣAABCḄ☢®ᜧ¯°ᓄI1)A.²³²°B.ᐜ´ᜧµ¯C.ᐜµ¯´ᜧD.ᐜ´ᜧ²°ூ4ᫀ௃A¶M8(=46⚓/@65⚓

46ekᑣS»co=—2"AC=BC,.AD=BD,SA“CD=SABC஺.k•'-5A^«C=2SAJCZ>=2X—=k.2...JZ8CḄ☢®²°.ᦑ⌱A.Çd⚪⌕ᳮ8«ᵨklmᦪkḄÈÉÊË.10.ÌÍÎᔆÐᨴÒÓÔÕÖ50×{=_ØÙÓÔÕÖ196×{.ÜÝᔆÞஹßᨴÒAᙳáᨴḄ´/᳛0x,PQxãäḄuåIA.50(1+x2)=196B.50+50(1+x2)=196C.50+50(1+x)+50(1+x)2=196D.50+50(1+x)+50(l+2x)=196ூ4ᫀ௃Cூ78௃⚪ᑖ᪆èé´/Ḅê=´/ëḄêx(1+´/᳛)᝞OÝᔆÞஹßᨴÒAᙳáᨴḄ´/᳛0X,PQìᵨxᑖí⊤îÞஹßᨴÒḄÔêÞஹßᨴÒḄÔêᑖí050(1+x)ஹ50(1+x)2,ïð᪷V⚪Êbuå50+50(1+x)+50(1+x)2=196.ᦑ⌱C.11.᝞u#/BCDḄ-/02,BE=CE,MN=\,ñMNḄôᙠ஺ஹM஺õ¬,[DMRöMBE\]DஹMஹN0⚔Ḅ_%#÷ø.75275°0-2ú^2_tADA.—B.C.JᡈD.ᡈ555553_=47⚓/@65⚓

47ூ4ᫀ௃Cூ78௃•.•,-#ABCDIu#AB=BC,VBE=CE,.AB=2BE,ü,.•JABEìD.MஹN0⚔Ḅ_%#÷ø.,.জDMABI$þ-öDM=2DNADM2+DN2=MN2=1,1,/.DM2+-DM2=I,48DM=2ÿ5ঝDMBE,DM=DN,2/.DM2+DN2=MN2=1,ᓽDM2+4DM2=1,DM=.5••.DM2ᡈ2\ABED.MஹN⚔Ḅ.55ᦑ⌱C.!⚪ὃ$%Ḅឋ'ஹ()Ḅឋ'*+,-ᳮḄ/ᵨ12ḄḄ345⚪Ḅᐵ7ᶇ9ᑖ;<=>?@ᦪ?@ᙠ!⚪CḄ/ᵨ.12.(DḄEFGᑣI(DḄJKLA.B.2C.3D.26ூ(NOᫀ௃BூR௃S⚪᪆᝞VW48⚓/Z65⚓

48•.•(DḄEFg,0B=5AB]0A,VOA2=AB2+OB2,.,.OA2=—0A2+J32,2OA=2.ᦑ⌱B.ὃ1.(^_ᙊ2.+,-ᳮ.13.VK1abcd☢fᱥh᜜Ḅj᫑lm☢ᙠVK1ᙢoj⚔Kj᫑pḄLqm☢2m,m☢r4m.᝞VK2stu☢vᙶ᪗yᑣfᱥhḄᐵyzKL"1"2A.y=-2x2B.y=2x2C.y=-0.5x2D.y=0.5x2ூ(NOᫀ௃Cூᑖ᪆௃ᵫVC|}~ᡠfᱥhḄ⚔ᙠy|ᦪ᪆zy=ax2,ᑭᵨ-yᦪ.ூR௃ᵫ⚪9|fᱥh᪆zy=ax2,ᵫV9fᱥhK2,-2,ᦑ-2=ax22,a=-0.5,ᦑ᪆zy=-0.5x2,⌱C.᪷⚪9ᑮfᱥhḄᙶ᪗ᦪ᪆zᜐᳮ!⚪Ḅᐵ7.14.᝞V4NaḄ9a/C_L8CC,஺ᑡᵨh3⊤cosaḄ┯ḄKLW49⚓/Z65⚓

49BCADCDA.B.C.-----D.BCABAC~ACூ(NOᫀ௃Cூᑖ᪆௃ᑭᵨᚖvḄ-*Ḅ-~/a=NNO,¡¢ᑭᵨ┦ᦪᐵy~Oᫀ.ூR௃'ACLBC,CDLAB,.Za+ZBCD=ZACD+ZBCD,Na=/ACD,,BDBC_DC/.cosa=cosZ-ACD=-----~AB~~ACBC¤⌕⌱⚗஺┯§ᔠ⚪9.ᦑ⌱C.⚪©⌕ὃ$%┦ᦪḄ-~Na=NACD⚪ᐵ7.15.ªᦪy=x?+xḄV«ᔣu®a(a>0)bᓫoᑮᦪy°x?-3x+2ḄV«ᑣaḄ()A.1B.2C.3D.4ூ(NOᫀ௃BூR௃ᵫy=/+x=(x+)2_⚔Ḅcᙶ᪗-313•••y=x2-3x+2=(x-1)2—º,.•.⚔Ḅcᙶ᪗242,3,1ஹ..a=()=2.22fᱥhḄ⚔Ḅcᙶ᪗*¿fᱥhḄ⚔Ḅcᙶ᪗a=¿fᱥh⚔Ḅcᙶ᪗-fᱥh⚔Ḅcᙶ᪗.ஹ⚪16.)Àx2-3x+l=0Ḅ⚗yᦪ__.W50⚓/Z65⚓

50ூ(NOᫀ௃-3ூR௃N—3x+l=0⚗yᦪa3.ᦑOᫀa3.aᐗ°©)Àaf+b/cR(a#))°©⚗yᦪa,⚗yᦪÃÄᦪ⚗c.17.᝞VÅZ8CD()ÆÇᑮEÈ=ᑣ4CE=ூ(NOᫀ௃22.5ூᑖ᪆௃᪷()Ḅឋ'~NC48=/NC2=45஺É᪷/C=NE~N/CE=67.5஺ᵫᓽ|~Oᫀ.ூR௃•••Å48co()ÊNDAB=NDCB=90°,•.ZCh.ZCAB=ZACB=45°,'AC=AE,.N/CE=67.5°,/BCE=NACE-NACB=225஺,ᦑ22.5°.⚪ὃ$()Ḅឋ'5ῪḄឋ'Ḅᑁ_-ᳮa⍝ÎÏẠḄ⚪Ñ.18.᝞VᵯÓPᙠcᩚABḄ()ABᙠÓᐝḄÖ×CD,AB஻CD,AB=1.5m,CD=4.5m,PᑮCDḄFq2.7m,ᑣABCDÙḄFqm.PA/\Bcjூ(NOᫀ௃1.8W51⚓/Z65⚓

51ூR௃ᵫAB஻CD,|APABsAPCD,CDᑮABFqx,᪷Ḅឋ'AB2.7-x277-x|——=---ᓽ---a=------,x=1.8m.CD2.762.7ᡠABqᙢ☢ḄFq1.8m,ᦑOᫀL8.19.᝞VᡠḄÛÜCo)ḄÜÝÞß)ḄÜÝÞàᑣá—j.(ã“ுூ(NOᫀ௃æ.ூR௃S⚪ᑖ᪆᝞VᑖçᙠÛÜᔜ⌱b~ébḄᙊêᯠ.°æa,ᦑOᫀæ.ὃN-ᙊḄᩩí.20.᝞V()ABCD()EFGHoîA(0,5),D(0,3),E(0,1),H(0,4),ᑣoḄᙶ᪗.W52⚓/Z65⚓

52ூ(NOᫀ௃(0,ð)(-6,7).ூR௃ᵫV|B(-2,5),C(-2,3),F(3,1),[BஹôEஹ/ᦑoovh8ᔆyḄøᜐ,vh8ôḄ᪆zy=kx+b,-2k+b=53k+bð417vh8ôḄ᪆z:y=------xH-------L,abc(0,—)lCஹEDஹôᦑoovhCEvh஺ôḄøᜐ,vhCEḄ᪆zy=ax+c,vhCEḄ᪆zôax+1,vhDFḄ᪆zy=dx+efW53⚓/Z65⚓

533d+e=1ᑣe=3ÿ3,e=320ᔆḄ᪆§x+3,y=-x+l<2cy=——x+3I3x=-6ீUl76,7!17ᦑ$ᫀ&0,y,6,7.)*+,-./0⌕23+,45)6745)Ḅ8Ḅ9)ᓽ&!345);,⌕445)<=ᑖ?@A.BஹDE⚪2LDE|1-6l+3tan30°-73-5°--1,.ூQ2$ᫀ௃2ூS௃T⚪ᑖ᪆ᐜ4VஹBWXᦪஹZ<=[E\<=]^[E.T⚪᪆_=a1+3ஹ8—1—3=a1+0+3=2.)*1cd┦WBWXᦪVfVḄgᑖᶇijkᡂm;(2)/)=1(r0),6r-1=—■.22.(x+3)(x-1)=12(ᵨvwx)ூQ2$ᫀ௃xi=3,X2=-5{54⚓/~65⚓

54ூS௃T⚪ᑖ᪆ᐜwfk\ᦪ⚗ᑮwᯠw-g]⚗ᦪḄwXᓽ.T⚪᪆_w᦮ᳮ/+2%=15,-]/+ᐭ+12=15+12ᓽ(x+1)2=16,wx+l=±4,ᓽx+l=4,ᡈ"1=4,!.xi=3,X2=-5.)*ᵨvwx<=vwgᐜ⚗ᦪᓄ&1,ᯠw-g]⚗ᦪḄw.ஹ$⚪23.᝞/ᙠ☢Wᙶ᪗£RtaABCḄB.⚔)ᑖ©A(-3,2),B(0,4),C(0,2).(1)ªABC«)C&¬¬180஺¯¬45Ḅª-bjC!AABC,3AḄ45)஺Ḅᙶ᪗&(0,-4),¯45Ḅª3C!(2)3ª*31c´µ)¬«ᑮª¶3C,·¸ᑏ¬Ḅᙶ᪗!(3)ᙠº'¼ᨵ)P,¿PA+PBḄVᨬÁ·¸ᑏ)PḄᙶ᪗.ூQ2$ᫀ௃(1)᝞Â/!(2)A-1(3)(-2,0).{55⚓/~65⚓

55º|-1ú)--1Ãᔆᔆூᑖ᪆௃(1)᪷ÅÆÇÈ᪀Ê)AஹB«)C&¬¬180°Ḅ45)aஹB1ḄᙢᯠÌ)CÍ8¸ᓽ!\᪷ÅÆÇÈ᪀Ê)AஹBஹCḄ45)&ஹB2ஹḄḄᙢᯠÍ8¸ᓽ!(2)᪷Å4ÏḄឋÑ8¸-445⚔)9)ᓽ&¬ᯠᑏᙶ᪗ᓽ!(3)᪷ż4Ï2ÒᨬÓÔᡂmÊ)AᐵÖx¼Ḅ4Ï)×Ḅᙢᯠ8¸×BÌx¼Ḅ9)ᓽ&)P.ூS௃(1)¯ªAiBiCÌ4A2B2c2᝞/(3)᝞/ᡠÙ)PḄᙶ᪗&(-2,0).24.ᵬÛ-ÜÝ᥎ᳫàá.âãäḄ忣çᨵèéᜧÁḄ3.ᳫᳫᑖ©᪗ᨵᦪë1,2,3.✌ᐜᵬí£îï᥎.ᳫᯠÛíᒕÂḄᳫ£îï᥎.ᳫñòᳫḄᦪëòᜧḄóô.{56⚓/~65⚓

56(1)õᵬ᥎ᑮ᪗ᨵᦪë3ḄᳫḄᭆ᳛!(2)ø.àáùᔩû·▊äᳮᵫ.ூQ2$ᫀ௃(1)!;(2)ùூS௃T⚪ᑖ᪆(1)忣çᨵèéᜧÁḄ3.ᳫᳫᑖ©᪗ᨵᦪë1,2,3,ᵬ᥎ᑮ᪗ᨵᦪë3ḄᳫḄᭆ᳛&1!(2)ᑡÿᡠᑖᵬஹ᥎ᑮḄᦪᜧḄ3ᭆ᳛ᭆ᳛ᑣᑣ.!⚪#᪆%#%(1)•••+,-.ᨵ0ᜧ1Ḅ33ᳫᳫ5ᑖ᪗ᨵᦪ1,2,3,.•.ᵬ᥎ᑮ᪗ᨵᦪ3ḄᳫḄᭆ᳛913(2):;ᳮᵫ᝞?%ᑡABᑗDE%ᵬ123.FA7\.z\/\/\/\/\/\231312.ᵫ⊤DH%ᵬIJḄᭆ᳛=LIJḄᭆ᳛=522ᡠM:;NḄ.OP%(1)QRᑡ⊤SஹT᪛VWS(2)⌕ᑨZ:;Eᔲᓽ]ᭆ᳛Eᔲ.25.᝞W_□ab-cᦪc1dᙠcfg“ᑭᵨklmᦪno”q.⌱snt1uvwBxyzᱥBCḄo~.ᐜᙠᚁ5ḄDᜐnyzᱥ⚔Ḅl930஺.Dᙢ☢Ḅo~DE=5m.ᚁEA=10m,ᯠqᙠAᜐnyzᱥ⚔BḄlN50஺OE,A,CᙠB~5yzᱥBCḄo.(ᶇ᦮ᦪ)57⚓/¡65⚓

57ூ¤¥¦ᫀ௃21mூ©#௃!⚪ᑖ᪆:«O஺¬DH1.BCO®¯°DECHN±°ᡠMDH=EC,DE=HC,²Ḅ³~9xw,ᑣB"=(x-5)m,ᵫ/8஺”=30஺DM/஺B஻=60஺º»⊤¼DH=f)(%—5),ᯠq⊤¼4C=JJ(%—5)—10,ᵫ8c=᱐"50஺/஺ᑡÃ#xᓽD.!⚪#᪆%«OD¬DHVBCOM,ᑣ®¯°஺CEN±°DH=EC,DE=HC,²BCḄo~9xmᑣBH=(%—5)m,f/BDH=3N,•NDBH=60஺,.DH=BHtan60°=Ä(Å-5),AC=EC~EA=1/3(x—5)—10,ZBAC=50°,.BC=tan500-AC,.,.x=tan50°[y/3(x—5)],#%x=2l,¦%yzᱥ8cḄoÈ921"?.OP%Ê⚪ᐵÌᑭᵨÍsÎᦪS┦lklmᦪÐtᐵÎᑡÃ#ÃᓽD.26.᝞Wᙠ-N஻C8=90°,«O஺ḄÔᾯV஻×3,஺9Z3¯5BOஹ«O58⚓/¡65⚓

58஺¬஺EJ.8C,iPQMNYE,ᚖÚ9ÛÜÝC஺ஹBE.(1)Þ%CE=ADL(2)ß஺ᙠZ8-Oய°3EC஺Ná×®¯°â▊äåḄᳮᵫ(3)஺9-OᑣßNZ=ய°8ECDN¤Ã°(ÔÝᑏ¦ᫀ).ூ¤¥¦ᫀ௃(1)ç#᪆(2)®¯°3ECDNè°ᳮᵫç#᪆(3)45°ூᑖ᪆௃(1)Þ䮯°N0ECN鮯°ê᪷ì鮯°ḄឋîïᓽD(2)Þ䮯°BECZ)N鮯°ᯠq▊ä8=8஺ᑭᵨè°Ḅᑨs▊äᓽD;(3)ßN/=45஺®¯°8ECDN¤Ã°.ூ1ñ1©#௃Þä%DEVBC,.NDFB=90°,'ZACB=90°.NACB=ZDFB,AC//DE,VMN//AB,ᓽCE//ZD,®¯°ADECN鮯°CE=ADூ1ñ2©#௃#%®¯°Nè°ᳮᵫN%♦.•஺9-OAAD=BD,VCE^AD,:.BD=CE,VBD//CE,59⚓/¡65⚓

59®¯°BECDN鮯°♦.•44c8=90°,DR4B'N,•*.CD=BD®¯°8ECDNè°ூ1ñ3©#௃ß//=45஺ய°8EC஺N¤Ã°ᳮᵫN%•••4஺8=90°,4=45°,ANABC=Z.A=45°,AC=BC,,:DRAB-OCDA.AB,/.NCDB=90°,••®¯°BECDNè°...è°BECDN¤Ã°ᦑ45°Ê⚪ὃôg鮯°Ḅឋîõᑨsஹè°Ḅᑨsஹ¤Ã°ḄᑨsஹÔlkl°¯5Ḅ-Ḅឋî.ö÷QR鮯°ḄᑨsøឋîùEºéïᳮúÞNᜐᳮᡂüḄᐵÌ.27.ýþcÿẆ⁚40ᑖᐜḄᶇᦟḄᓄᓄ.!ᐜḄᶇ⌲#$%&ᜮᨵ)*+ᐜḄᶇ,ᢝ./ᳮ1Ḅ234᝱6ᐜḄᶇᑖᦣ.89ᑖ᪆;<ᐜḄᶇᢣᦪy*+x(ᑖ)ḄᓄAB᝞DᡠF(ᐸ48ஹ8cᑖI/J)CD/KLJḄMᑖ)N(1)OPJ)LJCDḄQ᪆RSᑏPUVḄWXZ[(2)6\]ᑖ!^\_ᓝᑖ!ab.c!ᐜḄᶇdef(3)⍝ᦪhij⚪◤O19ᑖ/m.n⌕OᐜḄᶇᢣᦪpᑮ36,rs〉uv᣸ὁyᔲᙠᐜᶇpᑮᡠ◤Ḅ4᝱Q|}⍝᪗⚪f\60⚓/65⚓

60ூᫀ௃(1)45Q᪆R/Ny]=2x+20(0ḄQ᪆R/Nyr=(x>25)[x(2)\30ᑖᶇde.(3)〉uv᣸ὁyᙠᐜᶇpᑮᡠ◤Ḅ4᝱Q|}⍝᪗⚪.ூᑖ᪆௃(1)ᑭᵨᦪᑖIOPCZ)Ḅᦪ⊤pRPᫀ[(2)ᑭᵨ(1)ᡠOQ᪆R¡¢P\]ᑖ\_ᓝᑖḄᶇᢣᦪb.ᑨ¤[(3)ᑖIOPᶇᢣᦪ/36!Ḅ&¦*+§¨&*+©ª19b.ᜧ19ᑣy|,ᔲᑣ°y.ூ±Q௃(1)²J)ᡠᙠḄ³JḄQ᪆R/´=$¶20,·3(10,40)¸ᐭ*1=2,»/8Q᪆R/Nyi=2x+2Q(025)[X(2)uÄ=5!ᑘ=2x5+20=30,ÇX1000É%2=30!V2=-----30.y\19,•〉uv᣸ὁyᙠᐜᶇpᑮᡠ◤Ḅ4᝱Q|}⍝᪗⚪.Ò⚪ὃÔmÕbÖᦪ^ᦪḄ×ᵨQ⚪ḄᐵÙÚ᪷ÜDÝOPᦪᐵRSÞßᑮà\61⚓/65⚓

61áḄUVḄWXZ.28.᝞Dâ<³JPAä஺஺AஹB&æAEÚ஺0Ḅ³èæC/00æéACêᑖZPAE,ëCìCD_LPA,ᚖñ/D.(1)OòNCD/00ḄᑗJ[(2)ôDC+DA=6,஺஺Ḅ³è/10,OABḄõö.ூᑖ᪆௃(1)÷øOC,᪷Ü⚪;òNCAD+NDCA=90஺§᪷ÜûêᑖJḄឋýZDCO=90°,ᑣCD/OḄᑗJ[(2)ë஺ìOF_LAB,ᑣ/OCD=NCDA=NOFD=90஺OCDFAD=x,ᙠR3AOFᵫ!ᳮ(5-x)2+(6-x)2=25,*+,xḄ.ᵫ!ᳮ/ABḄ0.ூ34௃(1)789:;0C,VOA=OC,/.Z0CA=Z0AC,9AC>ᑖNPAE,/.ZDAC=Z,AZDAC=ZOCA,.,.PB/70C,VCD±PA,D62⚓/F65⚓

62ACDIOC,CO0GH,ACD0ḄᑗJK(2)L஺MOFJ_AB,ᚖOF,/.ZOCD=ZCDA=ZOFD=90»,•••DCOF.♦.OC=FD,OF=CD.VDC+DA=6,AD=x,ᑣ0F=CD=6-x,VOḄQH10,.♦.DF=OC=5,K.AF=5-x,ᙠRtZ\AOFᵫ!ᳮAF2+0F2=0A2.ᓽ(5-x)2+(6-X)2=25,ᓄTx2-llx+18=0,4U=2,V=9.KCD=6-xᜧX0,ᦑx=9Z[,x=2,*+AD=2,AF=5-2=3,VOF1AB,ᵫᚖH!ᳮ\FABḄ].,.AB=2AF=6.29.᝞_`ᱥJy=ax?+bx—4bxcdXA(4,0)ஹB(—2,0)f]bycdX]C,]PgJhABijk](l]◀᜜)L]PMPD஻AC,dBCX]D,:;CP.᝕᝕(1),q`ᱥJḄ4᪆sK(2)tk]PukᑮwᜐyBP2=BDBCK(3)t4PCDḄ☢{y,]PḄᙶ᪗.ூ~ᫀ௃(1)y=-^2-x-4Kx(2)4᪆(3)]PḄᙶ᪗(1,0)D63⚓/F65⚓

63ூ34௃(1)ᑭᵨA(4,0)ஹB(-2,0)f],/q`ᱥJḄ4᪆sফx=0y,/]CḄᙶ᪗LBPDS/^BAC,,BDḄ0᪷!ᳮ,/BCḄ0ᑭᵨBP2=BDBC,,/]PḄᙶ᪗(3)L☢{gḄ>,4BPDḄ☢{ᑭᵨSABPCḄ.,/]PḄᙶ᪗16a+4b-4=049(1)ᵫ⚪4a-2b-4=0_14a%b=-1`ᱥJḄ4᪆sy=|2-x-4Kx(2)]Pukᑮ](x,0)y,ᨵBP2=BDBC,x=0yᑣy=—4,.♦.]CḄᙶ᪗(0,-4).VPD/7AC,.•.BPD^ABAC,.BD_BP"BC=BA'BC=VBC2+0C2=722+42=2V5>AB=6,BP=x—(—2)=x+2..Dc_BPXBC2(x+2)(x+2)BA63VBP2=BD«BC,.•+2)2=⍩X)X2,J4X1="1,X2=-2(-2ᔠ⚪Z[)JAA]PḄᙶ᪗g0),ᓽt]Pukᑮ0)y,BP2=BDBCK(3)VABPD^ABAC,.SABPD_(-BP)2,ᵗ᩹D64⚓/F65⚓

64BP2(6)*X6X47”*'SAEPD=1$3Ḯ-Um02SABPC=~1«X+2X4ߟX+K_2X-12+309-03tx=1y,SABPCᨵ.3.ᓽ]PḄᙶ᪗(1,0)y^PDCḄ☢{.D65⚓/F65⚓

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