2022-2023学年湖南省郴州市中考数学专项提升仿真模拟试题(一模二模)含解析

2022-2023学年湖南省郴州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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16ூᑖ᪆௃᪷wx)Û^ḄÑÒ7>஻W.Ü(n+1)2-1,Þ^7ᓽ஻(஻+2).ூ௃:V22-1=1X3,32-1=2x4,42-1=3x5,52-1=4”,…,.••ÑÒ(஻+1Ù1=஻("+2).ᦑ+-1="(஻+2).⚪ã⌕ὃ!"ᦪ5ᓄÑÒ)⌕åæçèÊË)ᑖ᪆ஹêëЩᐸ¯ḄÑÒ)ìíᵨЩḄÑÒUî⚪.ïvR.)⌕ðñᑖXЩR.ḄÛ^òÞ^ḄÑÒ.?ஹ⚪(ᐳ9ô⚪ᐳ60ᑖ)21.wx3X=2,3y=5,3x”+32x+3vḄ.ூCDᫀ௃510ூ௃ᑖ᪆⌮ᵨ÷Ḅø%ஹ¢ùᦪ÷Ḅøᑣᓽ.3x+v+32x+3v=3x-3v+32x-33y=10+(3X)2-(3ú)3=10+4x125=510.<û8⚪ὃ!"üḄø%ò¢ùᦪ÷ḄøḄø%,8⚪Ḅᐵ:7ýþ÷Ḅø%ÿᑣᦪḄᑣ.y.2_7_1_13r22.ᐜᓄ*'+(1----),ᐸ%x=3.x2-lx+lX—1ூ+,-ᫀ௃012.x-2ூ23௃4⚪ᑖ᪆᪷9ᑖ:Ḅ;<◀>ᓄ⚪?%Ḅ:@ᯠBCxḄDᐭᓽ>3-G⚪.(ifx+1-3x—\4⚪3᪆H:=T________________________________(x+l)(x-l)x+1x—2Kx=3LH:=----=2.3-223.MNᖪPCQRSTᢥᡂGWXY40%᪗W^8ᢚabᓬdefghijᑭ15ᐗ,nRSTghḄᡂGopᐗqr17⚓/u77⚓

17ூ+,-ᫀ௃125ூ23௃4⚪ᑖ᪆vnRSTghḄᡂGwxᐗ᪷9ᡂGWx(1+40%)xo.8-ᡂGW=ᑭxᑡdz{3z{|>dᡂGW.3vnRSTghḄᡂGwxᐗ᪷9⚪}~80%(1+40%)x-x=15,3~x=125.-nRSTghḄᡂGw125ᐗ.ὃMᐗz{Ḅᵨ.24.AB~NCOE=90஺ᯠBdNEOF,᪷9ᑖḄdNAOF,ᯠB᪷9NAOC=NAOF-NCOFdNAOC,᪷9⚔3-.ூ23௃VZCOE=90°,ZCOF=34°,/.ZEOF=90°-34°=56°.OFᑖZAOE,.,-ZAOE=ZEOF=56°.ZAOC=ZAOF-ZCOF=56°-34o=22°.NAOC=NBOD(⚔)/.ZBOD=22°.25.QdḄᦈ᪗{ᨵ3ᓟ¡¢Ww10ᐗ3ᓟBgᓟ£ᦈ1.8ᐗ.Q¤dxᓟ.(1)4ᵨᐵxḄ:@ᑖ¦§⊤©ª¤Ḅ.(2)᝞fª¤ᙶ8ᓟopᐗq(3)᝞fª¤26.2ᐗ®ᙶopᓟqூ+,-ᫀ௃(1)K{ᨵ3ᓟᓽxW3LLᦈ10ᐗ¯K{3ᓟᓽx>3r18⚓/u77⚓

18Lᦈw°8x+4.6²ᐗ.°2²¤ᙶ8ᓟ19ᐗ¯°3²®ᙶ12ᓟ.ூᑖ᪆௃°1²◤⌕ᑖ¶·¸{ᨵ3ᓟ<{3ᓟ᪷9¹Rᦈ᪗º»¯°2²¼x=8Dᐭ°1²%ḄDᦪ:ºᓽ>¯°3²v®ᙶxᓟ᪷9ª¤26.2ᐗᑡdz{3ᓽ>.ூ23௃3°1²K{ᨵ3ᓟᓽxW3LLᦈ10ᐗ¯K{3ᓟᓽx>3Lᦈw10+°x-3²xl.8=1.8x+4.6°ᐗ².°2²Kx=8L,1.8x+4.6=l.8x8+4.6=19°ᐗ².-¤ᙶ8ᓟ19ᐗ¯°3²v®ᙶxᓟᵫ⚪}~10+°x-3²x1.8=26.2,3~x=12.-®ᙶ12ᓟ.ª⚪ὃÀMᐗz{ḄᵨᑡDᦪ:Dᦪ:ḄÁ⚪¯3ÂÁ⚪ḄᐵÃÄÅ⚪}ÆᑮᡠḄÉḄÉᐵʺËᑡd:@.26.᝞Ì0OḄÎÏw17cm,ÒAB஻CD,AB=30cm,CD=16cm,ᙊÙOÚABஹCDḄÜzAB0ḄÎÏw17,ᓽOA=OC=17.ᙠRtAAOE%QE=7OA;-AE:=^172-152=S-ᙠRtAOCF%OF=7oC:-CF;=y/172-8:=15-r19⚓/u77⚓

19/.EF=OF-OE=15-8=7.-ABdOEஹOFḄóü|dEFḄóᓽÒABஹCDÝḄÞß.4⚪3᪆OáÒABḄᚖᚖãwE,òó0ECDF,æçOA,0C,AB஻CD,AOF±CD,VAB=30cm,CD=16cm,AE=yAB=yx30=15cm,CF=yCD=yxl6=8cm,ᙠRtZiAOE%OE=yjoA2-AE2=7172-152=8cmᙠRt^OCF%0F=y/0C2-CF2=7172-82=15cm/.EF=OF-OE=15-8=7cm.-AB

20(1)ýBCḄó¯(2)CaABCþḼCAEC,AḄA,BḄB.᝞AᙠBCBWḄூᫀ௃(1)16(2)16!5ூ"#௃ᑖ᪆&(=)8c஺ᵫῪ,-.Ḅឋ01BC=28஺ᙠRtzUBO2᪷454஺6᪷4789ᳮᓽ18஺

2148.*.B,E=B,CsinZBCB=16x64ACE=T••BC=16,.6416..BE=BC-CE=16--=—,55<=*ᓽ?=(=w-V&W⚪ὃYZ#[-,-.789ᳮḄឋ0&ᑮḄ]M^ᡠ`abḄᜳ--MdஹeḄE.ᐰ.#gW⚪Ḅᐵij#RtZ\8CE,ᑭᵨ789ᳮmn89ḄB.28.oPpᦪy=ax?^[ay=2x-3ḄErsA(1,b).(1)?a,bḄtM(2)?upᦪErvwsBḄᙶ᪗.ூᫀ௃(1)a=-1,b=-1(2)(-3,-9)ூ"#௃ᑖ᪆&(1)⌕?5Ḅt{◤⌕}4Ḅᙶ᪗~ᐭpᦪᐵ᝞ᓽ1?56ḄtMᵫḄtᓽ1?5Ḅᙶ᪗ᯠe~ᐭG22

229ᦪḄᡈMঞ#ᡈ?59ᦪḄt©!ᑏ5pᦪ#᪆.29.oP᝞Eᱥay=ax?+3ax+c(a>0)^y¸sC,^x¸sAஹBuAᙠB¼½BḄᙶ᪗(1,0),C(0,-3)(1)?ᱥaḄ#᪆M(2)¿DjabACÁᱥaḄÂ?Ã.ABCD☢ÅḄt.(3)¿Eᙠx¸ÇᙠᱥajᔲÉᙠÊ/ஹCஹEஹÇ⚔ÌÊZCwḄÎÏÃ.¿Éᙠ?ÇḄᙶ᪗M¿ÐᨵÉᙠÒÓÔᳮᵫ.3Q?7ூᫀ௃পᡝᔆ+ᔆ-3MফSiḄtবÞ#᪆.ூᑖ᪆௃(1)}BஹCḄᙶ᪗~ᐭᱥa2?59ᦪḄtᓽ15ᱥaḄ#᪆.(2)᪷4AஹCḄᙶ᪗᧕?[aACḄ#᪆.ᵫABஹOCáj9tᑣ4ABCḄ☢ÅÐᨵã¿Ã.ABCD☢ÅᑣAADCḄ☢ÅMFDHDE஻y¸sACE,ᑣE(m,3--m-3),1ᑮAADC☢ÅᨵtæÃ.ABCDḄ☢Åtᯠeᑡ5Ã.Ḅ☢Å^4mḄpᦪᐵᑭᵨè1?æmḄétëM(3)W⚪ᑖìíîï&জFCHx¸ḄÎÏa^ᱥaḄsðᔠPḄ⌕?æPஹCḄòᙶ᪗]ó~ᐭᱥaḄ#᪆2ᓽ1?5Pᙶ᪗Mঝ}ACÎôõCöᙠx¸(ᓽE)ஹAöᙠᱥa(ᓽP)M1᪷4ÎÏÃ.Ḅឋ05Pòᙶ᪗(PஹCòᙶ᪗Ḅt])~ᐭᱥaḄ#᪆2ᓽ1?Pᙶ᪗.4a+c—0ூ"#௃#&(1)}BஹCḄᙶ᪗~ᐭᱥaḄ#᪆&÷_,c=-33#&a=—>c=-3.439•••ᱥaḄ#᪆y=-x2+-x-344Q23⚓/S77⚓

2339(2)õy=0,ᑣwx2+—x-3=0,#xi=l,X2=-444AA(-4,0)>B(1,0)õx=0,ᑣy=-3AC(0,-3)ci15•SAABC=TX5X3=—2239¥D(m,—m2+—m-3)4433FDHDE஻y¸sACE.[aACḄ#᪆y=-x-3,ᑣE(m,--m-3)3393DE=----m-3-(—m2+—m-3)=-----(m+2)2+34444m=-2æDEᨵt3æSAACDᨵt/XDEX4=2DE=61527Ã.ABCDḄ☢ÅḄt6+—=—.22(3)᝞Eᡠú:Q24⚓/S77⚓

24জFCHCP1//X¸sᱥaP”FPlHP[E]஻ACsx¸E],æÃ.ACPiEiÎÏÃ.VC0,-3••¥Pix,-3.39.—x2+—x-3=-344#xi=0,X2=-3.'.Pi-3,-3MঝÎô[aACsx¸E,sx¸ḄᱥaP,AC=PEæÃ.ACEPÎÏÃ.VC0,-3¥Px,3,ü9ý—3+J41#—3—1#x=------------ᡈx=-------------,22.-.Pþ3+ÿ,3ᡈP3222ᡠᙠ3ᔠ⚪ᙶ᪗ᑖPK-3,-3ᡈP2-3+᪗,3ᡈPἔI,3223.⚪ὃᦪᔠ⚪!"#$%ᦪ&'ᦪḄ)᪆+ᦪ'ᨬ-./012Ḅᑨ$4ឋ6789᪷;⚪<=>2ᑭᵨᦪ2'))AB⚪ḄᐵDᙠ)A3E⌕GH/ᑖIJK.M25⚓/P77⚓

252022-2023ᓭḕὃᦪ⚗ᓣ⚪ஹ⌱⌱:1.-1Ḅ-SA.-1B.1C.0D.±12.2013\12ᨴ2^“`abc”efghijkjkᓣmno12ᨴ14^ᙠᨴᳫᡂstuvḼ▮.ᨴᳫyzᙢᳫ.ᙳ}38ᦪ38ᵨᦪ&⊤ᐸSA.3.8x104B.38x10C.3.8xl05D.3.8xl063.ᑡᔜ+ḄSA.a-bS2=a2-b2B.-a4S3=a7C.2a»-3bS=6abD.a5-?a4=aa=0S4.Ḅ.☢¡>᝞>ᡠ£ᢚᡂ¥“¦”§¨☢S5.©ª}13cmஹ10cmஹ5cmஹ7cmḄ0ᩩ¯°±Ḅbᩩ¯°}1²©³=b´2ḄᦪSA.1B.2C.3D.46.᝞>µ8/1=60஺᝞CQ஻□º»Ḅ¼ᦪ}SA.70°B.100°C.110°D.120°7.¾8b>0,ᓄÁ-8ᵨḄSA.-ayfabB.as/abC.-a-J-abD.aj-ab8.ÂÃ⌕Äᓝ§ÆÇÈÆÇ⍗ᑮÃஹËÌḄÍÎÏÐÑÂÃÒÓEÈÆÇÏËÌÔt▭Ö᪵ḄÍÎSM26⚓/P77⚓

269.᝞>ᙠ஺ABCD±FADÚª¯ÛÜBFÝDCoE,ᑣ>±Ðàb´2ᐳ10.ᙠ.☢â´ᙶ᪗%±ãᱥ¯å=/4ᐜᔣè.é2ᓫëìᔣ.é2ᓫëíᑮḄãᱥ¯Ḅ)᪆+()Ay=(x+2)~+2B.y=(x-2)2-2C.y=(x-2)2+2D.y=(x+2ó-211.᝞>ᙊ┵Ḅ⊤☢¡>ᵫᡧ2øᙊùᡂ¾8ᙊḄ☢ú}100ᐔᡧ2Ḅᙊü´}120஺ᑣÖᡧ2Ḅ☢ú}()A.30071B.150ᐔC.200ᐔD.600ᐔஹ⚪%12.ý+ᑖ)þ/_4/=.13.“஻=-1,ᑣ(□--2஻?+2஻Ḅ.14.Dab=2,a+b=-1,ᑣ+2Ḅ.ab15.ABCḄ!"a,b,c&'a+b=10,ab=18,c=8,ᑣ*.16.᝞-./ABCDḄ12AC,BD3456O,ᑖ9:6C,D;BD,ACḄ<=2,3456E.AD=6,ᑣ6EᑮABḄ@AB27⚓/E77⚓

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2823.᝞-.OPQRᦪRᦪ6Ḅ-ᙠ▲34564(1,-R4).x(1)\RᦪḄ⊤YZ(2)\Rᦪ-Ḅ468Ḅᙶ᪗.yA/OBḄ☢(3)᪷-GᑏOPQRᦪᜧ5RᦪḄxḄ¡.24.᝞-.ᙠaABC.ZABC=ZACB,¢ACGHḄ0Oᑖ94ABஹBC56MஹN,6PᙠABḄ£"2~.¤NCAB=2NBCP.(1)¥G2CP஺஺Ḅᑗ2.(2)DBC=2#,sinNBCP=§.Z\ACPḄᕜ".25.▰ὁ«¬᪥®¯°±²Ḅ³.´¬᪥ᔣ³¶ᜐ¸ὁ«4¹º“ᡃ¯¼\½¾.ᐳ105À.ᓫÂᑖ98ᐗ`12ᐗ.¯¾Äᡃ⚞¼1500ᐗ.ÆᙠÇÈ418ᐗ.”¸ὁ«Ê¼Ë.º“ÌÍÎ┯¼.”(1)¸ὁ«ѺÒÎ┯¼ÓᵨÕÖḄרÙtÚ(2)▰ὁ«ÛÜÝ®ᱥÞἠ.ÞÆḄà┯¼.áÒǯ¼âãÀ.äâãÀḄᓫÂåæçuᨵè.éêëìíî510ᐗḄ᦮ᦪ.âãÀḄᓫÂðêñòᐗÓ26.ூ▅õÞÆ௃᝞-1,ᙠ÷Õ48C஺Ḅ᜜ù.;w!45E`w!4஺.ÛED,RC,456ú.ᑣ-\ADE^\DFC.ð=/C,eNDMC=B29⚓/E77⚓

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34a2+b2=c2>BCDSCBCD.ᦑSC.16.3ᑖ᝞4DABCDḄFC9AC,BD>?;O,ᑖ;C,DBD,ACḄHI9>?;E.AD=6,ᑣ;EᑮABḄ#$<=E0,78E0>AB?H.$DE஻OC,CE//OD,...JKDODECHIJKD:JKDABCDD.•.OD=OC,.••JKDODECDAOEICD,VAB/7CD,AD1CD,AEH±AB,AD஻OE,VOA//DE,...JKDADEOHIJKDG.AD=()E=6,VOH/7AD,OB=OD,BH=AH,.*.OH=4AD=3,G.EH=OH+OE=3+6=9,ᦑᫀ.9.17.3ᑖ᝞4AB.00ḄSxCD.஺0ḄNACD=54஺ᑣNBAD=36°35⚓/"77⚓

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38(•1)Ýà$<=AN,VZABC=ZACB,.\AB=AC,ீAC஺OḄSxAAN1BC,NCAN=NBAN,BN=CN,VZCAB=2ZBCP,AZCAN=ZBCP.VZCAN+ZACN=90°,/.ZBCP+ZACN=90°,ACPXACீoc஺oḄwxCP஺0Ḅᑗ9G(2)#$VZANC=90°,sinNBCP=[,AC=5,...OOḄwx.È᝞4;BBD_LAC?;D.ᵫ(1)bBN=CN=iBCM,ᙠRtACAN6AN=ஹ,A3-,ä2.7ᙠACANnACBD6ZANC=ZBDC=90°,ZACN=ZBCD,.".MCAN<^ACBD,4ஹ-BD=4.ᙠRSBCD6CD=åtᡝ2,AAD=AC-CD=5-2=3,39⚓/"77⚓

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40|FC}J~M,ijk\ZkADEDFC,M!ED=FC,TNDMC=90஺.ூHᵨ௃᝞kঝᙠnABCD(AB>BC)Ḅ᜜opq7rstunABEvADF,)wED|FC}J~M.(1)ED=FC.(2)NADE=20஺NDMCḄᦪ.%᝞kজ\•snABCD]mnAD=AB=CD,ZADC=90°,VAADE^ADFC,DF=CD=AE=AD,VZFDC=60o+90°=150°,.ZDFC=ZDCF=ZADE=ZAED=15°,AZFDE=60o+15o=75°,/.ZMFD+ZFDM=90°,ZFMD=90°,ᦑᫀ90°(1)•ABErstunAZEAB=60°,EA=AB.VAADFrstun.\ZFDA=60°,AD=FD.•snABCDnNBAD=NADC=90஺DC=AB.AEA=DC.ZEAD=ZEAB+ZBAD=150°,ZCDF=ZFDA+NADC=150°,AZEAD=ZCDF.ffiAEADvACDF3N3/FDC,x41⚓/{77⚓

41/.EAD^ACDF.ED=FC'(2)VAEAD^ACDF,.\ZADE=ZDFC=20°,ZDMC=ZFDM+ZDFC=ZFDA+ZADE+ZDFC=60°+20°+20°=100°.27.᝞kᱥyi=lx2+bx+c|x}J~AஹB,}yJ~C(0,-2/),ᱥx=-2}xJ~D,E]ᱥᙠx3▲ᑁ~.(1)ᱥyiḄ%᪆'(2)4OCD¡CD¢ᢚ¤O~~O,]ᔲᙠᱥyi¦§¨ᳮᵫ.(3)~EᐵJ¬CDḄ~E3ᔠ®ᙠx¦¯EpxḄᚖ}ᱥylJ~F,জ~FḄᙶ᪗'ঝ¬CD¦]ᔲ³ᙠ~P,´|PE-PF|?³ᙠᑏ,|PE-PF|¶.74\1/\/\\N/Vz%(1)•.•ᱥx=-2,•*--771=-2,%Tb=2,•.,~C(0,-2ᙠᱥyiTx?+bx+c¦.'.c=2,'3.•.ᱥ%᪆yi=X2+2X-2/'(2)O~~0,Aᨵᙠᱥyi¦.ᳮᵫ᝞¯0,~pOH_LxJH,᝞k1,ᵫ(1)TD(-2,0),C(0,2/),ᙠRtZkOCD\OD=2,OC=/5,.•.tanNODC='''M,AZODC=60°,VAOCD¡CD¢ᢚ¤O~~cr,.•.O'D=OD=2,ZO'DC=ZODC=60°,x42⚓/{77⚓

42.•.ZOrDH=60°,ᙠRt^O'DH\sinNO'DH=:,O'H=2sin600=/,Vbx=-3cyi='-x2+2x-2/j=$x9+2x(-3)-2/5/--Jj,•••O’~Aᨵᙠᱥyi¦'(3)জPE(m,-m2+2m-2)(m<0),¯EpEH_LxJH,)wDE,᝞k2,ᑣDH=-2-m,EH=-(m2+2m-2")=-m-2m+2.7>ᵫ(2)TNODC=60஺:~EᐵJ¬CDḄ~Eា®ᙠx¦ADCᚖ¬¹ᑖEE.♦.DC¹ᑖNEDEQDE=DE\...NEDE'=120°,ZEDH=60°,ᙠRtAEDH\•.•tan/EDH='EH=HDtan60°>ᓽ--m2-2m+2/=(-2-m)᦮:ᳮTn?+(4+2)m-8-=0>%T:mi=2/(¼½)me=-4,.,.E(-4,-25),'.HD=2,EH=2/,DE=,_'.DE=4,.\E,(2,0),¾EFJ_x,•••F~Ḅ¿ᙶ᪗2,bx=2cyi=

43...|PE'-PF|SE'FÀb~PஹEFᐳc,ÂrÃÄ,¬CD¦³ᙠ~P,´|PE-PF|,¶6-2Å.x44⚓/{77⚓

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46Aூ%&௃vZl=60°Z2=Z1=60°vCD11BENB=180஺—N2=180°-60°=120°ᦑ⌱D7.^9b>0,ᓄvw-8,1xḄy`wzA.-ayfabB.a-JabC.-a>J-abD.aj-abூᫀ௃Cூᑖ᪆௃✌ᐜ᪷-᪷ᨵḄᩩᑨaWO,᪷-᪷Ḅឋᓄ.ூ%&௃VZ7>0,-a^>0,a<0.—Jq-.(-ab)——ctyj—cib.ᦑ⌱C.ὃ᪷ᨵḄᩩC᪷ḄᓄTᑮa<0&⚪Ḅᐵ.8.⌕6ᓝ¢£¤6¢£⍗ᑮஹ¦§Ḅ¨©ª0«¬®¤6¢£ª¦§¯°▭²᪵Ḅ¨©()1113A.vB.-C.-D.-2344ூᫀ௃Cூᑖ᪆௃ᑡ·Oᡠᨵ¸¹º¤6¢£ª¦§Ḅ¸¹ᦪᓰ¸¹ᦪḄ¼½ᓽ8T.47⚓/77⚓

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48í⚪î⌕ὃâᦪïḄÒÚðñòóÒÚô&⚪Ḅᐵ.11.᝞ᙊ┵Ḅ⊤☢ᵫ36ᡧ7;36ᙊXᡂ^9ᙊḄ☢ùE100ᐔᡧ7ḄᙊûPE120஺ᑣ²6ᡧ7Ḅ☢ùE()B.150TIC.200ᐔD.600ᐔூᫀ௃Aூᑖ᪆௃✌ᐜ᪷-ü☢ᙊḄ☢ùýTü☢ḄþÿᯠᡧḄᯠᑭᵨᡧḄ☢☢ᓽ.ூ௃:☢ᙊḄ☢100n,.•.☢ᙊḄ10,ᡧḄ!ᙊḄᕜ20n,#ᡧḄ$%r,120^-r“ᑣ------=20%,180:$%r=30,.•.ᡧḄ☢zrr/=nX10X30=300n,ᦑ⌱A.*⚪ὃ-.ᙊ┵Ḅ012ᡧḄ☢Ḅ01⚪Ḅᐵ45ᱞ701.8ஹ:;⚪:12.<ᑖ3-ab2aூ>?@ᫀ௃a(a+b)(a-b).ூ௃ᑖ᪆*⚪ὃ-Ḅ5C<DEᑭᵨFGHᑖ<.᪆I=a(a+b)(a-b).ᦑ@ᫀa(a+b)(a-b).13.K"[N஻=N1,Q1](஻?N஻)2-2/«+2/7ḄT5________.ூ>?@ᫀ௃3V49⚓/Y77⚓

49ூᑖ᪆௃IZ[m-nḄT^ᐭ01ᓽ`T.ூ௃:m-n=-\,I=abN஻cNN2abN஻c=1+2=3ᦑ@ᫀ3.h⚪ὃ-.^ᦪTjklmn1Dᑣ5*⚪Ḅᐵ4.14.Dab=2,a+b=—1,ᑣḄT______.abூ>?@ᫀ௃-0.5#---2.w-511a+bூ௃,N+;=—wN,abahN11-11x஺6=2,Q+6=—1{—F—=—=—.ab22ᦑ@ᫀ.—215.}~ABCḄa,b,ca+b=10,ab=18,c=8,ᑣh.ூ>?@ᫀ௃ூ௃᪷}~:a+b=10,ab=18,c=8,aa+bc2-2ab=100-36=64,Ec~64,

50*DE//OC,CE//OD.ª஺஺«C5Fª,ª46஺5.OD=OCf♦ª5¬.OE±CDf•:AB஻CD,ADA-CD,.EH1AB

51D•185஺0Ḅ•/ADB=90°,ZABD=ZACD=54\•.ZBAD=90w/ABD=90°-54°=36°,ᦑ@ᫀ36°.:ᙠ³ᙊᡈᙊµ³ᡈᡠḄᙊᕜ.18.}~P-1,4·¸¹ºᦪy=-k»cḄ⊤½ᑣk=.xூ>?@ᫀ௃-4ூ௃,•,¾a-1,4,w.¿9=-4.ᦑ@ᫀ-4.19.᝞¯ÀÁᱥABECDḄÃF¢£24ÄÅAÆDḄÇ30°,ÆCḄÇ60°ᑣÀÁᱥCDḄÈÄ.aÉÊËᶇ᪷Ícூ>?@ᫀ௃166ூ௃¤⚪ᑖ᪆§CDAM!M,ᑣAM=24,᪷ḄឋÏDM=AMxtan30°=873³ᳮCM=24jL

52ὃºᦪ&ஹ'(⚪%20.}~Ñᦪaஹbaa+2c2+J/c2-2Z1-3=0-ᑣa+bḄT.ூ>?@ᫀ௃1ᡈ-3ூ௃¤⚪ᑖ᪆᪷ÔÕᦪḄឋÏᑡa+2=0,b2-2b-3=0,a=-2,b=3ᡈ-1,ᡠ×a+b=-2-1=-3ᡈa+b=l.ὃ1ஹÔÕᦪḄឋÏ2ஹ1ÙFG᪷w3ஹÔÕᦪḄឋÏᏔÛG1—3x2x+1-----«-------121.Þᨵ°25àá⊤âᙠᦪãä.2a%+3c>3-x-3-2-1~0~1~2~3~413ூ>?@ᫀ௃x>—19ூ௃¤⚪ᑖ᪆:ᑖÞᨵè`éḄᐳëᑖᓽ.¤⚪᪆252ax+3c>3-x@,13ᵫজx>—,ᵫঝx>-l,13IÞᨵḄéx>—,áÞᨵḄéᙠᦪãä⊤â0][[.)4]]A0-4-3-2-1On.1234X1922.}~᝞ᙠQABCDµ%AC,BD!O,AB1AC,AB=1,BC=#.(1)FªABCDḄ☢SnABCDw(2)%BDḄ.V53⚓/Y77⚓

53ூ>?@ᫀ௃(l)ScABCD=2,(2)BD=2J51ூᑖ᪆௃(1)ᐜ`ZC,᪷FªḄ☢=ôÈõ01ᓽ.(2)ᙠµ`8஺ö÷8஺Ḅ.ூ௃প•••AB_LAC,/.ZABC=90°ᙠRtAy45Cµ,4஺=1BC?-AB?=2,ᑣSQABCD~ABx"C=2.(2)ªABCD5FªAO=OC,BO=OD,w.AO=1,ᙠRtAy45(9µ,80=712+12=JI,BD=280=2V2.23.᝞}~·¸¹ºᦪù&ûºᦪù+8Ḅᙠ¾▲!/(1,-R4).X(1)¤?ý¯ºᦪḄ⊤½w(2)`ý¯þºᦪ¾Ḅÿ5Ḅᙶ᪗Ḅ☢(3)᪷ᑏᦪᜧᦪḄxḄ.23ூ#$%ᫀ௃(1)y=-fy=x+\(2)—(3)x<-2ᡈ0?(2)@A;7ḄB>᪆CὶEFGH5678Ḅᙶ᪗I:567A/OBḄ☢;K54⚓/N77⚓

54(3)᪷ᦪ56>%<⚪.ூQ>௃>R(1)♦.•ᦪ,ᡈ.ᦪ1+6Ḅ0ᙠ▲3W(1,-/4),Xk.,᝕+4=,>7Rk=2,H.;ஹ4(1,2),/.2=1+Z?,7Rb=l,ᓽaBᦪḄ⊤cCᑖdeRy——>,f1;x2y=h(2)ὶE57Jxy=x+1x=-2[x=1>7R\ᓽaBᦪḄm5Ḅᙶ᪗e(-2,-1),=][y=2p04ஹOB.__lx21x1_3@y=0sᐭy=x+l,7x=-1,vOC=\-1|=1,•.SAHOB=SMOC+SA8OC=~~—I——=—>ᓽZUOB3Ḅ☢e2(3)᪷57ᦪᜧᦪḄxḄex<-2ᡈ<⚪ὃ~ᦪ.ᦪḄA⚪>⚪Ḅᐵe$⚪ᡠA⚪◤⌕Ḅᩩ,ᑭᵨᦪ0Ḅ>%A⚪.24.᝞ᙠABC;ZABC=ZACB,6ACḄ஺OᑖdABஹBCMஹN,PᙠABḄNCAB=2NBCP.K55⚓/N77⚓

55p1RCPe஺oḄᑗ.2¢BC=2BsinZBCP=.y,ZXACPḄᕜ.ூ#$%ᫀ௃1¨>᪆220ூᑖ᪆௃1©C,eḄᑗª◤7CPI/C2ᑭᵨ#¬®ᦪḄ¯°7Ḅ4C=5,ᑣḄ²9᝞´8¶50/4c2:;᪀¹3º®0RACAN^ACBD,ᡠ6᪷3º®0Ḅ»¼½ᡂ7¿BD=4ᯠÁᙠRtZ\BCD;,ᑭᵨÅÆ¯ᳮ567CD=2,ᡠ6ᑭᵨÈÉᑖ¿ᡂᑖd7¿PC,PBḄÊ.ᓽ5ZUCPḄᕜ.ூQ>௃1Rp4N,,/NABC=ZACB,.AB=AC,•.7Ce஺஺Ḅ.*./N_L8C,AZCAN=ZBAN,BN=CN,'ZCAB=2ZBCP,.4CAN=4BCP.K56⚓/N77⚓

56NCAN+NACN=9b,.ZBCP+ZACN=90,,.CP1AC,R0CeG)OḄ²...CPe஺OḄᑗ(2)vNANC=90°,sinZ5CP=—,5.CNQ——..-----=-----,••A.C—5»AC5•஺஺Ḅ²*.2᝞´8¶8O_L4cDᵫ(1)SBN=CN==BC=&,2ᙠRtZXC/N;AN=ylAC2-CN2=2T,ᙠÍC8O;NANC=NBDC=90°,NACN=NBCD,ACANs&JBD,.BC_BD"7C~7N,.BD=4.ᙠRtASCZ);,CO=yjBC2-BD2=2,AD=AC-C£)=5-2=3,■:BD//CP,.BDADADAB"'CP~'ACy~DC~~BP',,2010CP=P=33/\APCḄᕜeAC+PC+AP=20.<⚪ὃ~ᑗḄᑨ¯.ឋÐஹ3º®0Ḅᑨ¯.ឋÐ6ÑÅÆ¯ᳮḄ¼ᵨ.ÒÅÆ¯ᳮ¼ᵨḄÓÔᩩeᙠ®®0;.K57⚓/N77⚓

5725.▰ὁר᪥ÚÛÜÝÞḄÁߨ᪥ᔣÁáᜐãὁ×äåR“ᡃÛBèéᐳ105<ᓫìᑖd8ᐗÍ12ᐗÛéÓᡃ⚞1500ᐗïᙠðñ418ᐗ.”ãὁ×óôåR“õö¯÷┯.”1ãὁ×/ùåú÷┯ûüᵨFGḄýþÿ2▰ὁᱥἠḄ┯!".$!"Ḅᓫ&'()*ᨵ,-./012310ᐗḄ᦮ᦪ!"Ḅᓫ&9.:;ᐗ<ூ>?ᫀ௃1BC᪆2!"Ḅᓫ&9.2ᐗᡈ6ᐗ.ூᑖ᪆௃1HIᐵKL8ᐗḄNḄO+12ᐗḄNḄO=15004182ᐵTUVWX!"Ḅᓫ&X2310ᐗḄ᦮ᦪᐵKYL0<ᡠᵨ]ᦪ-NḄO&<10.ூB௃L1_ᓫ&8.0ᐗḄ`᜜Nx"cL8x4-12=1500-418,cLx=44.5*ᨵfᔠ⚪i.•.•ᙠl⚪mx*ᨵ.X2ᦪnὁopqr┯2_ᓫ&&oᐗḄ`᜜Nu"_!"Ḅᓫ&bᐗw⚪icL0<1500-[8^+12+418]<10,c:0<4y-178<10,ᓽL44.5<”47,N145"ᡈ46".=45"6=1500-[8x45+12+418]=2,=46"6=1500-[8x46+12+418]=6,ᓽL!"Ḅᓫ&9.2ᐗᡈ6ᐗ.26.ூ▅௃᝞1,ᙠ>Z8CDḄ᜜H48EH஺ED,FC,3M,ᑣmAADEADFC9£7=FC,cZDMC=58⚓/O77⚓

58ூ£¤1ᵨ௃᝞2,ᙠ¥ABCDAB>BC(Ḅ᜜HABEH/஺¦§>FC,31©LED=FCH2ª«4QE=20°Ḅ¬ᦟ.ூ>?ᫀ௃ூ▅௃90஺ூ£¤1ᵨ௃1C᪆2100°.ூᑖ᪆௃᪷¯>Ḅឋ±²A4DE³ADRC9cDF=CD=AE=AD,᪷¯HḄឋ±9NFDC=150஺᪷¯HῪḄឋ±9cNDFC=NDCF=/ADE=NAED=15஺ᓽ9NCDM=75஺᪷¯ᑁqᳮNDMCḄ¬ᦪᓽ9ூ£¤1ᵨ௃1᪷¯¥Ḅឋ±²HḄឋ±9cNE/O=NCD/=150஺AD=DF,EA=CD,ᑭᵨSAS9©¸2AC஺᪷¯ᐰHḄឋ±ᓽ9cED=FC2᪷¯AE/O³ºCDE9cZADE=ZDFC=20°,᪷¯᜜ឋ±ᓽ9NDMCḄ¬ᦪ.ூB௃L»/BCDX>AD=AB=CD,ZADC=90°.\ADE^\DFC,DF=CD=AE=AD.ZTOC=60°+900=150°59⚓/O77⚓

59•*.ZDFC=NDCF=ZADE=ZAED=15°.,•ZCDM=90°-15o=75°,ZDMC=180°-75°-15°=90°,ᦑ?ᫀ90°ூ£¤1ᵨ௃(1)LA48EH•NEAB=60"EA=AB.•HAADFUVWXYZ,•••NFDA=60°AD=DF.:»Z3CD¥:.NBAD=NADC=90"DC=AB,*'•EA=CD.VNEAD=NEAB+ABAD=150°NCDF=Z.FDA+NADC=150°.NEAD=NCDF.AE=DC,ᙠ^EADbCDFmNEAD=NCDF,AD=DF,.\EAD^\CDF,ED=FC.(2)V\EAD^\CDF,.NADE=NDFC=20°AZDMC=NFDM+NDFC=NFDA+ZADE+NDFC=60°+20°+20"=100"."⚪ὃÆ>Ḅឋ±ஹ¥Ḅឋ±ஹHḄឋ±ஹᐰHḄᑨqÉឋ±²᜜ឋ±ÊËÌÍÎᐵឋ±²qᳮX⚪ᐵT.27.᝞ÏᱥÐyi=gx2+bx+cÉxÔ3AஹB,yÔ3C(0,-273)1ÖÏᱥÐרÔx=-2xÔ3D,EXÏᱥÐᙠ3Ù▲ᑁÛ.(1)ÏᱥÐyiḄ᪆Y(2)ÜAOCDÝCDÞᢚàOר0,XᔲᙠÏᱥÐâ<ão¸ᳮᵫ.(3)ªEᐵ3åÐCDḄרEាçèᙠxÔâéExÔḄᚖÐÏᱥÐyl3F,জFḄᙶ᪗ঝåÐCDâXᔲðᙠP,ò|PE-PF|<ªðᙠôᑏ|PE-PF|ö.60⚓/O77⚓

60ூ>?ᫀ௃1=yX2+2x-2V3L2C᪆36-26.yiூB௃ô⚪ᑖ᪆L1ᐜᵫÏᱥÐ×ØÔø9b=2,ùúC0,-273ûᐭyi=yx2+bx+c9cc=2[,ᡠýÏᱥÐ᪆Yyi=yx2+2x-2732éOOHl_xÔ3H,᝞1,ᵫ1cD-2,0,C0,26ᙠRt/XOCDmᑭᵨþᦪ9ÿNODC=60஺ᑭᵨᢚḄឋOD=OD=2,ZO'DC=ZODC=60°,ᡠNODH=60஺ḼᙠRtaCTDHᑭᵨᦪ0H=GᑭᵨᳮDH=1,ᑣOY-3,-6ᯠ᪷"#$ᦪ%&'(Ḅᙶ᪗ᱯ,ᑨ.஺'(0ᔲᙠ2ᱥ4”'63জᑭᵨ#$ᦪ%&'(Ḅᙶ᪗ᱯ,8Em,ym2+2m-2739m<0,:E;EH_Lx<=H,?@DE,᝞%2,Bl]DH=-2-m,EH=-Jn?-2m+2jj,ᵫ92NODC=60஺ᑭᵨ

61••c=25/3.•2ᱥ4J᪆qdyi=yx2+2x-2^36(2)0(DE(0,rᨵᙠ2ᱥ4yi'.ᳮᵫ᝞tj:0,(;OH_Lx<=H,᝞%1,ᵫ(1)D(-2,0),C(0,2v),ᙠRtZSOCDVOD=2,OC=5/.tanZODC==J3,2xZODC=60°,•••yOCDzCD{ᢚO(DE(O,/.O/D=OD=2,ZO,DC=ZODC=60°,JNODH=60஺()HᙠRtAOzDHsinZO,DH=——,O'D"H=2sin60o=G,\=1/.O,(-3,-y/3).♦,\x=-3Nyi=yx2+2x-273=yx9+2x(-3)-2)]-),.♦.O'(rᨵᙠ2ᱥ4yi'6(3)জ8E(m,ym2+2m-2>/3)(m<0),:E;EH_Lx<=H,?@DE,᝞%2,ᑣDH=-2-m,EH=-(ym2+2m-2-73)=-jm2-2m+2[>m62⚓/p77⚓

62ᵫ92NODC=60஺•.•(Eᐵ=S4CDḄDE(E”ាVWᙠx<'ADCᚖSFᑖEE6.DCFᑖNEDEDE=DE\.•.ZEDE'=120°,AZEDH=60°,EHᙠRtAEDHVtanZEDH=——HD.••EH=HDtan60°,BP-ym2-2m+2}=-2-m6᦮ᳮ?+4+2m-875=0,Jmi=2G9KLm2=-4,.E-4,-2736.HD=2,EH=26•••DE=^22+92V32=46.DE=4,6.E'2,0,E'FJ_x<6.F(Ḅᙶ᪗d2,\x=2Nyi=~-x2+2x-25/3=6-273•AF2,6-273;ঝ•(Eᐵ=S4CDḄDE(E”ាVWᙠx<PE=PE',6.|PE-PFISET'9\(PஹETᐳ4N,_`a#S4CD'bᙠ(P,c|PE-PF|,Od6-26.m63⚓/p77⚓

63ὃ(j#$ᦪᔠ⚪2018ᔡ᪍ḕὃᦪᐰgᔁᫀg⚪J᪆ஹ⌱⌱j1.3ᑖ(-1ḄO09A.-1B.1C.0D.±1Jjj-1ḄO`=ᐸ¡ᦪ7ḄO01.ᦑ⌱jB.2.93ᑖ201312ᨴ2§“©ªa”«¬®¯°±°±ᓣ³´=12ᨴ14§ᙠᨴᳫ'ᡂ¸¹º»Ḽ▮.ᨴᳫ½¾ᙢᳫFᙳd38ÂÃÄÅᦪ38ÂᵨÆÇᦪÈ⊤Êᐸ@Ë9A.3.8x104B.38X104C.3.8xl05D.3.8xl06Jj38Â=3.8x105.ᦑ⌱jC.3.(3ᑖ)tᑡᔜqÓÔḄ0()A.(a-b)^a2-b2B.(-a4)3=a7C.2a*(-3b)=6abD.a5-6-a4=a(aÙ)JjAஹ(a-b)2=a2-2ab+b2,ᦑ⌱⚗┯Ü;Bஹ(-a4)3=-a12,ᦑ⌱⚗┯Ü6m64⚓/p77⚓

64Cஹ2a«9-3b=-6ab,ᦑ⌱⚗┯Ü;D^a5-6-a4=a9aßᦑ⌱⚗ÓÔ.ᦑ⌱jD.4.93ᑖàÓáâḄF☢äå%᝞%ᡠÊÅæᢚᡂÓáâ“ç”èD☢09JjÓáâḄ⊤☢äå%DḄ☢éê◞àÓáX“ì”ß“í0D☢“î”ß“8”0D☢“ç”ß"ð"0D☢.ᦑ⌱jD.5.93ᑖñd13cmஹ10cmஹ5cmஹ7cmḄôᩩ4öḄᩩ4ödY÷XḄàᦪ09A.1àB.2àC.3àD.4àJj✌ᐜúᔠd13,10,5613,10,7613,5,7610,5,7.᪷"XḄYᐵZ,°ûᐸḄ13,5,7rᨵüᔠᑣ÷ḄXᨵ3à.ᦑ⌱jC.6.93ᑖ᝞%Tý/1=60஺᝞ËCD஻BE,/BḄᦪA.70°B.100°C.110°D.120°Nl=60஺.*.Z2=180°-60o=120°.CD஻BE,/.Z2=ZB=120°.ᦑ⌱D.&65⚓/)77⚓

657.3ᑖ+,-b>0,ᓄ/0Ḅ123+■A.aiB.-v-j1ahC.D.-ah,.,b>0,-a3b>0,Aa<0.•*.67=-aᦑ⌱C.8.3ᑖ+89:;⌕=>ᓝ@ABC>AB⍗ᑮ9ஹGHḄIJKLM89NO:;PC>ABK3GHQR▭T᪵ḄIJ3+A.B.IC.1D.gᐳ4WXYᨵ1WXYC>ABK3GHᡠ\ᭆ᳛1ᦑ⌱A.9.3ᑖ+᝞`ᙠ஺ABCDbF3ADcde:fghiBFjDCkgE,ᑣ`bLmnopᐳᨵ+q.A.2qB.3qC.4qD.5q:ABCD3rstup.AD஻BC,DC஻AB,.,.vABF^ADEF^ACEB,...Lmnopᐳᨵnq.ᦑ⌱B.10.3ᑖ+ᙠr☢xoᙶ᪗{b|}ᱥey=x2-4ᐜᔣr=>ᓫᔣ:r=>ᓫᑮḄ}ᱥeḄ᪆73+A.y=x+22+2B.y=x-22-2C.y=x-22+2D.y=x+22-2ᦪy=x2-4ᔣr2>ᓫy=x-22-4&66⚓/)77⚓

66ᔣ:r2>ᓫy=(x-2)2-2ᦑ⌱B.11.᝞`ᙊ┵Ḅ⊤☢`ᵫf>ᡧpf>ᙊᡂ-ᙊḄ☢100ᐔᡧpḄᙊo120°,ᑣT>ᡧpḄ☢()A.300ᐔB.1507rC.2007tD.600ᐔ☢ᙊḄ☢1007T,.•.☢ᙊḄ¡10,ᡧpḄ¢d£kᙊḄᕜd20n,¦ᡧpḄ§edr,ᑣ(4=20ᐔ§ed30,.•.ᡧpḄ☢©1=ᐔஹ10X30=300ᐔᦑ⌱A.«ஹ¬⚪12.(3ᑖ)¯7ᑖ-at)2=a(a+b)(a-b).:a3-ab2=a(a2-b2)=a(a+b)(a-b).13.(3ᑖ)´m-n=-1,¶!]('m-n)2-2m+2n=3m-n=-1>(m-n)2-2m+2n=(m-n)2-2(m-n)=(-1)2-2x(-1)=1+2=3.ᦑ3.&67⚓/)77⚓

6714.3ᑖ+´ab=2,a+b=-1,ᑣ»Ḅ¼_---_.67ὡ஺-Iᦑ¿ᫀ15.3ᑖ+,-AABCḄnudaஹbஹc,ÁÂa+b=10,ab=18,c=8,ᑣÃnopxonop.Va+b=10,ab=18,c=8,a+b2-2ab=100-36=64,c2=64,a2+b2=c2,Ãnop3xonop.ᦑxo.16.3ᑖ+᝞`ÄpABCDḄqoeAC,BDLjkgO,ᑖÅÆgC,DÇBD,ACḄrseLjkgE.´AD=6,ᑣgEᑮABḄÈÉ32.hiEO,cdEOjABkH.•DE஻OC,CE//OD,♦tupODEC3rstup••tupABCD3ÄpAOD=OC,•tupODEC3ÊpAOE1CD,

68,.0H=AD=3,EH=OH+OE=3+6=9,ᦑ¿ᫀ9.17.3ᑖ+᝞`AB஺0Ḅx¡CD஺0ḄËZACD=54°,ᑣNBAD=36஺hiBD,᝞`ᡠÌ:,/ZACD=54°,AZABD=54°,VABx¡AZADB=90°,AZBAD=90°-ZABD=36°,36°.18.3ᑖ+,-gP-1,4ÁÂÍÎÏᦪy=jk#Ḅ⊤Ð7ᑣk=-4••`Ñ-1,4,/.k=xy=-4,ᦑ¿ᫀ-4.19.3ᑖ+᝞`=ÒÓᱥABCDḄÔrÈÉ24ÕÖAg×DgḄØo30஺×CgḄØo60஺ᑣÒÓᱥCDḄÙ16ÒÕ.12Úᶇ᪷Ý+&69⚓/)77⚓

69cdCDjAMkgM,ᑣAM=24,DM=AMxtan30°=8f,MᳮàCM=24/~,/.CD=CM-DM=16."Õ+,¿ÒÓᱥCDḄÙ16ãÕ.ᦑ16.".nஹ/¿⚪20.,-RᦪaஹbÁÂa+2+2+J^~=0,ᑣa+bḄ¼.a+2+--..-=0,/.a+2=0,b2-2b-3=0,a=-2>bi=-1,bz=3,ᑣa+bḄ¼1ᡈ-3.21.çᨵ£7•"<”>௃ëᙠᦪì:⊤Ìçᨵ£7Ḅí.,*஺ᵫজXN.,ᵫঝX>-1,ᦑÃçᨵ£7Ḅíᙠᦪì:⊤Ì22.-᝞`ᙠnABCDbqoeAC,BDjkgO,AB±AC,AB=1,BC=J5.1+órstupABCDḄ☢SMBCD;2+óqoeBDḄd.&70⚓/)77⚓

70J1ᙠRt/kABCbAC=vb;-r=2,AᑣSIABCD=ABXAC=2.(2),tupABCD3rstup,AO=OC,BOOD,AAO=1,ᙠRtAABObBO=,ô.õnö«,BD=2_~.23.᝞`,-ÍÎÏᦪ÷=:øᦪy=x+bḄ`pᙠÑ▲LjkgA(1,-k+4).(1)úûüT=ᦪḄ⊤Ð7(2)óýT=>ᦪ`ÑḄþf>jgBḄᙶ᪗ëó^AOBḄ☢(3)᪷ÿᑏᦪᜧᦪḄxḄ.(1)•••ᦪᦪy=x+bḄᙠ▲A(1,-k+4),!k=2,.•.A(1,2),.*.2=1+b,b=l,ᓽ$%ᦪḄ⊤'(ᑖ*+,!y=x+l(2)MIWrHᓽ$%ᦪḄ-.BḄᙶ᪗+(-2,-1),2y=03ᐭy=x+l,x=-1,AOC=|-1|=1,571⚓/877⚓

71SAAOB=SAAOC+SABOC=',>,'->ᓽAAOBḄ☢:+,(3)᪷<=ᦪᜧᦪḄxḄ+x<-2ᡈ0

73¸0<4y-178<10,ᓽ44.5BC)Ḅ᜜Á!X%ÂÃÄÅABEZADF,TÆEDFCM.(1)JKED=FC.᝞জ@!ÍÃABCD+\,/.AD=AB=CD,ZADC=90°,VAADE^ADFC,,.DF=CD=AE=AD,VZFDC=60o+90o=150°,ZDFC=ZDCF=ZADE=ZAED=15°,,.NFDE=600+15°=75°,.\ZMFD+ZFDM=90°,ZFMD=90°,ᦑÏᫀB90°(1):[ABEBÂÃÄÅ!r.ZEAB=60o,EA=AB.VAADFBÂÃÄÅ!AZFDA=60°,AD=FD.574⚓/877⚓

74•••ÍÃABCDBÌ!ZBAD=ZADC=90°DC=AB./.EA=DC.VZEAD=NEAB+/BAD=150஺!ZCDF=ZFDA+ZADC=150°,.•.ZEAD=ZCDF.ᙠAEADZACDF@!(3D/.[EAD^ACDF./.ED=FC,(2)VAEAD^ACDF,.•.ZADE=ZDFC=20°,ZDMC=ZFDM+ZDFC=ZFDA+ZADE+ZDFC=60°+20°+20°=100°.27.᝞!ÑᱥHyi=q2+bx+cxÒAஹB,yÒC(0,-2j),ÓÑᱥHÔÕÒx=-2xÒD,E+ÑᱥHᙠ53▲ᑁ.f.(1)JÑᱥHyiḄ᪆(,(2)2AOCDØCDÙᢚh!OÔÕ0,+ᔲᙠÑᱥHyiIÜoSᳮᵫ.(3)MEᐵHCDḄÔÕEᔠßàᙠxÒI!W᳾XxÒḄᚖHÑᱥHylF,জJFḄᙶ᪗,ঝHCDI+ᔲãᙠP,ä|PE-PF|?Mãᙠ!ᑏ|PE-PF|.(1)..•ÑᱥHÔÕÒx=-2,b=2>;C(0,-2-/5)ᙠÑᱥHy,=^x2+bx+cI,c=2J,575⚓/877⚓

75...ÑᱥH᪆(By»Jx2+2x-2/,(2)0ÔÕ0,¢ᨵᙠÑᱥHyiI.ᳮᵫ᝞WO,XOHJ_xÒH,᝞1,ᵫ(1)D(-2,0),C(0,ᙠRtAOCD@,VOD=2,OC=.1,,.tanN0DC=^M!/.ZODC=60°,VAOCDØCDÙᢚh!OÔÕO!!A0/0=00=2,ZO'DC=ZODC=60°,.*.ZOrDH=60°,ᙠRtAO(DH@!sinZO,DH=?,OD.♦.O'H=2sin600=æ,DH=j2;,-.5;=1,,.O'(-3,-/),,¹x=-3º!yi=*x2+2x-2.~=^x9+2x(-3)-2jH/-.">•••O’¢ᨵᙠÑᱥHyiI,(3)জ®E(m,-m2+2m-2)(m<0),WEXEH_LxÒH,TÆDE,᝞2,ᑣDH=-2-m,EH=-(;m2+2m-2.")=":m-2m+2ᵫ(2)NODC=60஺,EᐵHCDḄÔÕE!ាßàᙠxÒI!ADCᚖèᑖEE!!,.DCèᑖ/EDE',DE=DE',.".ZEDE'=120°,ZEDH=60°,ᙠRtAEDH@!tan/EDH=3EH=HDtan60°,ᓽ—-m2-2m+2.1=(-2-m)•ê!᦮ᳮ171?+(4+2ê)m-87=0,mi=2/3(ëì)!ni2=-4,AE(-4,-2/),HD=2,EH=2í/.DE=,•/M,576⚓/877⚓

76.,.DE'=4,.E'(2,0),îET±xÒ!,.FḄïᙶ᪗B2,¹x=2º,yi=1x2+2x-2~=6-2/,AF(2,6-2/),ঝ..•EᐵHCDḄ•ÔÕE!ាßàᙠxÒ!.♦.PE=PET,.|PE!-PF|WE!F(¹PஹE!FᐳHº!Âð)!HCDIãᙠP,ä|PE-PF|,B6-2ñ577⚓/877⚓

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