2022-2023学年辽宁省大连市中考数学专项突破仿真模拟试卷（一模二模）含解析

《2022-2023学年辽宁省大连市中考数学专项突破仿真模拟试卷（一模二模）含解析》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

2022-2023
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20çè4ᑣ⚪Ḅᐵ7.20.ll,ᡠḄ1SV4.⚪⌕ὃᐗḄᜧ!ᜧ"!"ᜧ""ᜧ#ᜮ%""%ᑮ(()*+ᑭᵨᦪ/01.21.-^-,42a—\ூᑖ᪆௃ᐜ᪷9ᑖḄ:ᔠ<=>ᑣᓄAᯠCDE<=ᓽ+.ூG௃a-\a-31++a+1=7----A---r(஻+1)2P஺=V^+iTU=j^+]~B.Y21⚓/\69⚓

21.....O.⚪⌕ὃᑖḄᓄAE_`aᐵ<=>ᑣc⚪Ḅᐵd...22.eᜫᦔ...郛ூᑖ᪆௃..h4i᪵k〈mnḄoᙳqrxᓟu/"T•ᑣ8i᪵k〈mnḄoᙳqr1.2xᓟu/"T,.....᪷97ஹB#zi᪵k〈mn{|Ḅ}~2"T”xḄEᓽ+......ூG௃.Oh”i᪵k〈mnḄoᙳqrxᓟu/"Tᑣ8i᪵k〈mnḄoᙳqr1.2xᓟu/.."T酸..//3036c.⚪+-2,.x1.2%¶x=30,¶Hmx=30cUḄᔠ⚪-E..郢.Bi᪵k〈mnḄoᙳqr1236(ᓟu/"T)..:.Bi᪵k〈m◤}~36+36=1("T)O/.2.6+1=3.6<4,塌.•••8i᪵kiḄ᪵eᜫᦔ...祖..⚪ὃᑖḄᵨ⚪Ḅᐵdc0⚪ᑡaḄᑖ.期脚.23.(1)40,12...氐.(2)240.....ব¢B..¶..¶O..ூᑖ᪆௃..(1)ᑭᵨ”ᡠᓰḄ⚣ᦪ6,⚣᳛0.15,+᪵§¨ᑭᵨCᡠᓰḄ⚣᳛0.30,..+᪵ª«ᨬ®¯ḄcCḄᐜ°ᦪ¢4.(2)ᑭᵨ/ஹCஹ஺ᔜ²ᡠᓰḄ⚣ᦪ8ᡠᓰḄ⚣ᦪ³<ᐰ᪥«ᨬ®¯Ḅ..c8Ḅᐜ°ᦪ¢...ºᔁY22⚓ᐳ37⚓O

22(3)ᐜ½᪛¿À%ᑮᑗḄ+ÂឋḄÄÅᦪᯠC%ᑮ#⌱ÇḄÄÅᦪ᪷9ᭆ᳛<=Éᓽ+.(1)ᡠᓰḄ⚣ᦪ6,⚣᳛0.15,...ÊḄ᪵§¨6+0.15=40,ᡠᓰḄ⚣᳛0.30,•••᪵ª«ᨬ®¯ḄcCḄᐜ°ᦪ40x0.30=12()(2)•.ËᡠᓰḄ⚣ᦪ6,CᡠᓰḄ⚣ᦪ12,஺ᡠᓰḄ⚣ᦪ40x0.35=14,ᡠᓰḄ⚣ᦪ40-6-12-14=8,QÍ«ᨬ®¯ḄcBḄᐜ°ᦪ1200x2=240()¢40(3)½᪛¿À᝞Ïᵫ᪛¿À+`ᐳᨵ16Ò+ÂឋḄÄÅᦪᐸª#⌱ÇzḄÄÅᦪᨵ4Ò41.•.#⌱ÇzḄᭆ᳛164⚪⌕ὃ⚣ᦪÔ⚣᳛ᑖÕ⊤ᡧØÙ<Àᵨ᪵³<\Ú᪛¿Àᡈᑡ⊤>ᭆ᳛,Ü0ᳮ⚪ÞßÙ<À⚣ᦪᑖÕ⊤c⚪Ḅᐵd.24.(1)106cm¢(2)Âáᑮâ᪆ூᑖ᪆௃(1)ãäåæç᪀⌼êëìëØᑭᵨìëíᦪEêëìëØᓽ+îᡂ:Y23⚓/\69⚓

23...o.ñ2òók஺ÂôᑮḄᨬõö÷{øùᓽ+Äú..ூ௃.ñ1òãkCäCPL4EýkP,郛ãk8ä3QLCPýk0,᝞À1,..•/NABC=143°,.....NC80=53஺......♦.ᙠRtZ\8C0C2=8C-sin53°=70x0.8=56cPQ=AB=50Dcm
..o.■1CDHl,.酸DE=CP=CQ+PQ=56+50=\06Dcm
...♦•஺!"#IḄ%&OEḄ)*106c/n.nCD-E..郢.1lo塌..祖.期脚...氐.......(2)/.B....oᳮᵫ238,C,஺ᐳ67᝞92,.BD=60+70=130cm,AB=50cm,.ᙠRtA^BZ)AB2+AD2=BD2>./.AD=120cm>110cm.4D/@ᑮM....BᔁD24⚓ᐳ37⚓O

24BCA92EDG⚪ὃJKLMNMOḄPᵨRSᑮKTLMNMOUVWᜐᳮG⚪ḄᐵZ[/\]⚪^,_`a"bc6᪀⌼LMNMO/fgᑭᵨNMiᦪkTLMNMOUὃJKᐜmḄnᔠᑖ᪆rVWPᵨḄ/s.25.(1)tuvT᪆w(2)tanN4C=^ூᑖ᪆௃(1)᪷{ᙊᕜM~ᳮSUῪNMOḄឋs஺[Mᑖ648+/=90஺ᵫNMOḄᑁM~ᳮ/4=90஺ᓽw(2)ᵫ┦MNMiᦪZ8Ḅk᪷{PCEs84EC,AE,ᵫ┦MNMiᦪḄ~ᫀᓽ.(1)tu2᝞9s஺•.78[஺஺ḄLAZADB=90°,B|JADA.BC,*//ABC=/ACB,1.AC=AB,s஺ᑖN6ZC,ᓽ♦1/BAC=2/P,D25⚓/69⚓

25...o.1.ZBAD=ZP,.4NB4D+NB=90°,.1.ZP+ZB=90°,式ZBAP^180°-90°=90°,..ABLAP,.....,1OA[஺஺Ḅ.....*[0஺Ḅᑗ6w.o..鼠.的Il■£..郭.氐o塘..(2)出.T2aC"CE_LB4,ᚖ*E,ᑣCE஻/8,期ᵫ(1)5D=C£)=gBC=6,脚...3BD氐..VtanZP=—=tanZBAD=,.4AD....AD=S,姓..冰..o•/§=>JAD2+BD2=10.ᓽ஺஺Ḅ*5w..3ABVtanZP=-=—,48=10,4AP40氐1.PA=f....:PB=RAB?+p/=y.........BᔁD26⚓ᐳ37⚓O

2650141.PC=PB-BC=——12=—,33•:CE஻AB,:.APCEsAPBA,14.PE_CE_PC..PE_CE_J••⏊¥¦¥’ᓽ¥T6■¥ª33T2PE=1|,C^=y,.481.AE=—5EC7/.tanZPAC=---AE24G⚪ὃJᑗ6Ḅᑨ~┦MNMiᦪᙊᕜM~ᳮS¯6ᑖ6°ᡂ²³´µᑗ6Ḅᑨ~¶·┦MNMiᦪḄ~SᙊᕜM~ᳮ[fgTḄ¸¹.226.(1)f¶Ow(2)MC'=ME,vT᪆w(3)yூᑖ᪆௃(1)ᨵ¥»¼½¾U¿¥ÀM*LMḄ¯Á½O[f¶Ow(2)EC',ᵫ(1)ÃḄÄÅVAD=BC,ZEAC'=ZB=90°,ÆᵫÇÈOÉᱏ488ËaEḄL6ᢚÍVᢚ͸ÎÏÐMSÏн¾UᨵNB~B,B'C'=BC,AE=B'C,NEAC'=NB'=90°,tuaAEC'/aAC'E*ᐰUÓI]NC'E/=NEC'8',ÖᨵMC'=M£w(3)ᵫRt«EC'APRtAC'EB',QAC'=B'E4ᵫᢚÍVAC'=BE,ÙÚZ8=8(cm)wᵨÛÜ~ᳮÙÚDFḄ)&tuAON/SAENGUßᐵàÖᑮ஺M2ENḄk.ூáT௃(1)T2•.788[¯Á½OAADHBCHEA,AEHDA•••Á½O4ª40[¯Á½OD27⚓/69⚓

27O:ÈOÉᱏ/8CQËaDḄL6ᢚÍäAåᙠCDæḄHᜐ....•"EDAED.....AE=AE...郛4=90°..Á½OAEA'DḄ᜜O[f¶O.....ᦑÁ½OAEA'DḄ᜜O[f¶Ow.....(2)MC=ME..Oᳮᵫ᝞é2᝞9EC',ᵫ(1)V2AD=AE..:Á½Os88[ÈO酸..AAD=BC,ZEAC'=ZB=90°..ëᵫᢚÍV2B'C'=BC,ZB'=ZBëH1.AE=B'C',ZEAC=NB'=90°.-E.ÆEC'=C'E,.郢.1.RtaECRt^C'EB'.1.NC'EA=NEC'B'O1.MC'=ME塌...祖..期脚....氐......B..ë..ëO....(3),/Rt«EC'ARaC'EB',AC=B'E..ᵫᢚÍV2B'E=BE,1.AC'=BE4•wAC'=2(cm),DC=4(cm)..J5=CO=2+4+2=8(cm)....OBᔁD28⚓ᐳ37⚓

28í£>F=xcm,ᑣFC'=FC=(8-x)cmᙠR/AOC'FᵫÛÜ~ᳮ242+X2=(8-X)2T2x=3,ᓽ஺=3(cm)᝞9îï84C'ðÇG,ᑣò4C'G=NOCᡝ4GDF4/.tanZACG=tanTDCF=—=—=-ACDC4AG=-1(cm)315J.EG=-+6=—(cm)22DF//EG,4DNFS&ENG1521.DN:EN=DF:EG=3:—=-25(1)GÃô⌕ὃJKf¶OḄ~ᓽᨵ¥»¼½¾U¿¥ÀM*LMḄ¯Á½O[f¶O,ᐸugᢚ͸ÎÏнஹÏÐM¾U[T⚪ḄᐵZw(2)GÃᑭᵨKf¶OḄឋSᢚ͸ÎÏнஹÏÐM¾UᩭtuNMOᐰU᪷{M¾Uᑣ½¾Uᓽù⚪ᐸV⍝M¾Uᑣ½¾UḄûü[T⚪ḄᐵZw(3)GÃὃJKᐰUNMOஹýþNMOḄឋஹM¾Uᑣfᑗk¾USÛÜ~ᳮḄPᵨᐸV⍝NMOýþᑣÏнᡂ²³[T⚪ḄᐵZ.27.(1)ᡈC(-3,K)(2)©y=~(x>0)ঝ4-6ᡈ-3ᡃ2;ூᑖ᪆௃(1)᪷Pᙶ᪗!"PḄᙶ᪗$%&PP=4'C(m,n),ᨵPC=PC=24,+,-./ᓽ%!"12;2(2)জ'P(c,-),!"PḄᙶ᪗$ᑭᵨ78Ḅ9:;<%&PPḄ=$'C(s,t),ᨵC,——-1=APC=PC=PP'=2J?+4)ᯠG+,-./%!s=-1■$/=JK$L᪷“ߟOPᐗc[y=-yf^cR29⚓/U69⚓

29...o.ᓽ%!xy=-6;.ঝᑖAGWXYZ[\Ḅ[]AGWXYZ[\Ḅ^_`abcdeYᑖfg2..ூj-௃郛-+(1)VP(1,6),..1.P'(-1,-X),......•.PP'=4,.....'C(m,n),.ol[APPC...•.PC=P'C=4,鼠.7(/n-l)2+(n-^)2=J(w+l)2+(஻+m=4的空m=-y/in..■£..,(_ᢈ_1)2+("q)2=]6..郭....-!n=6ᡈ,...氐o/.m=-3ᡈm=3..᝞s1,tuCvwRZx▲$ᑣC{G$-3.ᓽPḄ“l[^|”Ḅᙶ᪗~{q$-3.塘.2.{2জ'出:.PP'=2脚期...'C(s,z),氐.......姓..冰..o...2=3/4.•**t=±V3c$..ᔁR30⚓$ᐳ37⚓O

30,$0ᡈC2-:.cIcJIC)...CᙠRZx▲$c>0,2y/3x=---c,y=-yficxy=-6,BP,y=——{x>0xঝ4{1,2,5{2,1,ᑣ`48Wy=-x+3,'G{a,-a+3,'{0,$஺{஻$$ᓽG{a,-a+3,{஺$᪀ᡂXYZ[\$Gᙠ`$14a42GW^_`$XYZ[\^_ᙶ᪗]l6஺+0=1+72<.c6,n=a-\,0

31a+1=0+஻O.,6»஻=a+1,20,ᓽ©Cª«ᙠ-67+3——=஻7+2.n.鼠.¬$V-6ᡈ-34ᡭM-2...的.I¯⚪ὃ²³´µ¶ᦪḄsx¸ឋº$l[¨_\Ḅឋº$»¼½ᳮ-⚪¿$ᑭᵨl[¨_\1■£.ḄឋºÀÁ¼ᳮ&CḄᙶ᪗~ᐵÃ$ᦪ\-⚪~&"ÅḄᐵÃ..郭.28.(l)y=x2+2x-3..氐(2)(-2,-3)ᡈ(-1,-4)O(3)(0,2)ᡈ(0,-2)塘...出..ூᑖ᪆௃期脚(1)ᐜ&"XஹCḄᙶ᪗$ᯠGᵨɼÊᦪË&-ᓽ%....(2)ᐜ&"`/CḄ-᪆WV=-x-3,᪷4C■ÍÎ45PḄ☢Ðᑖᡂ1:2aÒᑖ$!ᑮ氐.....Ô"2SΔÖ=1஺$᝞sᡠØ$,Ù஺LvÜw஺$,஺ÙDELxÜwE,ᐜ&"姓...冰..O22ஹ4EQ=-PD,'Ḅᙶ᪗W(m$2+2m-3)&ᑣ஺ḄÞᙶ᪗W1/+5□-2,DḄnJ..ᙶ᪗Wà_1+3ᵨ-2,ᯠG&"8Ḅᙶ᪗$á§&"..(24)24.BD=\-m,BE=1-1--/H2--m-\\=—trr-v—m+2,ãäÎBE0sÎ8£)p,!çij.氐24-m2+-2^©&-ᓽ%.W+2)...{-tn3.........OᔁR32⚓$ᐳ37⚓

32{3ᑖabcdNᙠxÜ.$,NÙN஻_L`BCwH,,HÙHELyÜwE,_LxÜw$&"`5cḄ-᪆,õ4Ḅᙶ᪗W{-3,0,CḄᙶ᪗W{0,-3,.j9-38+c=0*[c=-3c=-3/.øᱥ`-᪆

33.....O.ABPD?.-2_______=2.2.jAB.EQ..2,.EQ=-PD郛f..2.4.@%(Ḅᙶ᪗C□#m2+2m-3ᑣ%0ḄFᙶ᪗CGH2+GJ-2,.....••%QḄᙶ᪗C■J2_8□_G|_஻?2+8P_2,.....OQ=0,ᑣR+21-3=0,.STx=1ᡈx=-3,.酸..••%8Ḅᙶ᪗C1,0
,..:.BD=1—mBE=\-\——m2——m—\\=—m2+—m+2«nY9f3333YH•PQ_Lx-#QE_Lx-#-E..1.DP//QEf郢..:/\BEQsdBDP,..BEQE2O^~BD~~PD~3"塌.24...—m2H—J+2c•33=2#.祖.\-m3.STJ=-2ᡈJ=T,期脚.V%(Ḅᙶ᪗C-2,-3
ᡈ-1,-4
8..氐.......B..Y..YO......4......]ᔁ934⚓#ᐳ37⚓O

34(3)S8᝞1ᡠ"#`Nᙠx-bcd#$%N'AH_Lef5c.H,$%஻'-.E,#gLx-.F,@ef8cḄS᪆iCy=%k+l#.m=3%—ef5cḄS᪆iCy=3x-3,VNBNO+NBCO=45஺,.\ZH=45°,.NH/o=NHBN,:.HN=HF,935⚓/<69⚓

35.....O.•1EHOE,FHOF,OELOF,..JnopE஺”rsp#..#NET//=90஺#OE=HF,.郛•t/NHE+NBHE=90o=NBHF+NBHE,..J/NHE=/BHF,.....u/HEN=/HFB=90஺,.....:•8NEHQABFH(AAS),.O:NE=BF,..@77ᙶ᪗C(J#3w-3),酸..:NE=BF=m-l,OE=3m-3..«nY.ON=EN+OE=4m-4,CE=3஻7-3+3=3J,YH••%NḄᙶ᪗C(0,4w-4),ATCM/w-1-E..ᙠw#NH2+CH2=CN2#郢..x+(஻y_+/+9J2=(4஻Nij,.O-2m+1+9m2+/H2=16m2-8஻y+1#塌.4m2-6J=0#..3祖.STJᡈJ=0()#.脚期#%NḄᙶ᪗C(0,2)t...氐.......B..Y..YO......4......]ᔁ936⚓#ᐳ37⚓O

36᝞2ᡠ"#`%Nᙠx-{cḄN1%d#ᵫ}ῪpḄឋ`Nf=8N(N%C1wḄTV)d#NBN&=/BNO,V051AW,,MONஹ=0N=2,...%MḄᙶ᪗C(0,-2),bᡠ#ᙠy-bᔲᙠ%N(0,2)ᡈ(0,-2),TNBCO+Z8NO=45°.937⚓/<69⚓

37.....O......郛.............O..酸....⚪⌕ὃVᦪᔠ#ᦪᔠ#}ῪpḄឋᑨ#ᐰ}pḄឋYYHᑨ#p᜜Ḅឋ#pḄឋᑨ#ᳮ}}#¡'¢£¤fr-E.S⚪Ḅᐵ¦..郢...O塌...祖..期脚....氐......B..Y..YO......4......]ᔁ938⚓#ᐳ37⚓O

382022-2023
ḕᜧὃᦪ⚗ẚᔁFIᔁ⌱⌱§%¨©9IᔁḄᦻ«▊®ᔁ¯Tᑖஹᓫ⌱⚪1.-2Ḅ³´ᦪr
A.-2B.2஺7D.22.{ᑡᱥ·#¸¹º»¼cᔣ¾¿#ÀᑮḄpÂrᙊḄrA.ᱛÅÆB.ÇÈC.ÉÊᳫD.ᙊ┵3.ᵯÎÏÐÑÒÓ2021Ô9ᨴ30Öb᧜Øᩭ#ÚᨵᐵἠÝᦪÚÞ"#ßàᑮ10ᨴ7Ö#<ἠÝá46.49â.ãᦪÚ46.49âᵨåæçᦪè⊤"CA.46.49x108B.4.649x108C.4.649x109D.0.4649x10104.{ᑡêë¡ḄrA.
-2x5=-8/B.(=/C.x3+x3=2x6D.x2,x3=x65.᝞#efNB஻C£>,ZB=60°,ZC=40°,ᑣNE}.C.90°D.100°6.ìᜧᐜïḄðdᡂñ80ᑖ#òwᡂñ90ᑖ#òóᡂñ85ᑖ,ôêëæò<®ᡂñḄcè᝞939⚓/<69⚓

39.....O.{8ðdᡂñ8òwᡂñ8òóᡂñ=2:4:4,ᑣõᐜïḄæò<®ᡂñr..A.85ᑖB.86ᑖ..C.87ᑖD.88ᑖ.翔7.{ᑡêëw#¡Ḅr...A.3h-i=2jB.g=&C.k-l=mnD.44+y[9=-j4+9.......8.᝞#ᙠÐC32öஹ÷C20öḄspᙢ☢r©ùú᪵÷Ḅ⍝ýwᨩÎᑖ#ÿ
...Oᑖ₝⌕₝Ḅ☢540⍝Ḅxᑣᑡ..鼠...的.I1A.32x20-32x-20.r=540B.(32-x)(20-x)+/=540.■£.C.32x+20x=540D.(32-x)(20-x)=540郭..9.᝞ᙠ48CZBAC=\05°,!Z3C"#Aᢥ%&┐ᔣ)*+ᑮ᜛஺.0#B'.氐ា23ᙠ45c56Z£=C᜛ᑣ/UḄ9ᦪO塘...出..期脚....氐.....A.19°B.24°C.25°D.30°.姓..42.1冰..10.0#N(-1,y),B(1,H)c(2,?)ᙠ@ABCᦪḄDy=——'±,ᑣE"OX.”ḄᜧIᐵKL()..A.yi>y2>y3B.y3>y?>yiC.yi>y3>y?D.y2>ys>yi..onᔁ(q⌱⌱).氐s#tuvoiiᔁḄᦻy▊b....{ᔁᐭ-ᑖ~ஹ⚪.........PᔁR40⚓ᐳ37⚓O

4011.0a

41.....O.ðᐰ᪥çèéᐜôḄ⚜Ûõö÷ø᪥çèéᐜôµᜩḄæú⚜Ûûü(ᓫdmin)ã..ý᪵þÿ
ᑮḄᦪᑖᡂ5☢ᡂḄ⚣ᦪᑖ⊤ᡧ..⚜!"t(min)⚣ᦪ($ᦪ)&ᑖ'.翔10403c.的.I1■£..郭...氐O塘.(᪷⊤*Ḅ+,-./ᑡᡂ1:..(1)345Ḅ᪵3789___,⊤*Ḅa=____,b=____,c=____P出..(2)<=>5$ᦪᡠ@AḄᡧᙊCDḄEᦪF期脚(3)G᪥IJKᐳᨵ400NᐜP(QRSᐜP*Tᜩ⚜!"VWX20minḄᐜP$....氐.ᦪ.....19.᝞ACA-BC,ADYBD,AD=BC.AD,8c[X\O.^_OC=OD.姓...冰..O......氐.20.`᪥a᧡cT$de4ᐗ.☢ghḄhijklmhḄhijnḄ@o......jkᡃqrhᐳ93$........<ᔁ>42⚓ᐳ37⚓O

42jnᡃqmh'xqghy[z12ᐗḄde.᪷☢@o^ghmhᔜᨵyW$.21.j|g}ᙠg*c*ᨵgᝤᝤᙠPᜐj|l᱆᱆ᙠ*ᑜ᝞ᡠ.jPᜐᓅ60஺ᔣᑜ200ᑮAᜐḼᔣᓭᔣᑜg!"ᑮBᜐ.ᙠBᜐj|ᑮᝤᝤᡠᙠḄPᜐᙠᓅ37஺ḄᔣR¡j|lᝤᝤ¢£yWᑮ1¤¥ὃᦪsin37°=0.60,cos37°=0.80,tan370~0.75,&¨.41,73=1.7322.᝞©ª9«¬஺9®¯°e஺[X\±²QB[e஺X\”,E8cḄg\BE=BF,²OE.
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45

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52ᦑô⚪ὃᵨᑡõAᭆ᳛TU%&ᭆ᳛*+⚪Ḅᐵ,.14.-x-4=—x-134ூᑖ᪆௃.ùXû᪷4“ùýᢚᡂ9Yÿ
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54NBDE=NFEH•———4y12x(0

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57#5645786487.&⚪ὃ)B8ᐗHIJḄPQRᵨST⚪UVGWᐵXᑡGHIJ4⚪Ḅᐵ3.21.Y288Zூᑖ᪆௃ᐜ\P]PC1AB^C,ᙠRtAAPC%᪷AP=200m,ZACP=90°,/PAC=60஺_GPCḄ`a᪷ᙠRtZXPBC%sin37°==*OGPBḄcᓽ!OGᫀ.ூ"௃#\P]PC_LAB^C,ᙠRtZ\APC%AP=200m,ZACP=90°,ZPAC=60°,.,.PC=200xsin60°=200x—=10073.2pcVᙠRtAPBC%&sin37°=——PBPC100x1.73PB=a288(m).sin37°0.6#defᝤᝤhiY288Z.22.(1)᪆j(2)஺஺Ḅklmg.ூᑖ᪆௃(1)᝞o1,pqDF,ᐜ᪷r,Ḅឋ1SASstuOCE,-NDFA=NDEC,aᵫ4஺4ᙊḄxlOy4s஺=90஺^4/DEC=90஺ᯠ{ᑭᵨ|஻8c!ON4DE=90஺ᡂᓽOj(2)᝞o2,pq7ᐜ᪷Ὺ*+,*ᔠ5Ḅឋ1OG஺8=2DH=2aᵫ஺sᫀ12⚓ᐳ23⚓

584RtVZ஺ḄᐳḄx+᪷/ᳮᑡGᐵ^/஺ḄHIHIᓽ!_G஺Ḅ`5ᓽ!_GᙊḄkl.ூ"௃91,mr,7.AB=BC=CD=DA,AD//BC,NDAB=NC,'1BF=BE,1.AB-BF=BC-BE,ᓽAF=CE,1.ADAFgVDCE(SAS),ZDFA=/DEC.♦.1D4஺஺ḄxlAZDFA=90°,ZDEC=90°.•/AD//BC,1.N4DE=NDEC=90°,0D1DE.4஺஺Ḅkl...DE40OḄᑗj92"."AD40(9Ḅxl:.NAHD=NDFA=90,NDFB=90°,•:AD=AB,DH=j,:.DB=2DH=2ᓱ,ᙠRtVADFRtABDF%VDF2=AD2-AF2DF2=BCr-BF2•*-AD--AF2=DB2-BF1AAD2-(AD-BF)2=DB2-BF2,ᫀ13⚓ᐳ23⚓

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60ூᑖ(1)᪷⚪UOG8E=g8C,ᓽ!_#(2)᪷⚪UᑖÀ0ீÈ2À2É4À4ீ87]Go,ᑖÊ_O஺/஺■fu/BCÌᔠÍᑖ☢ÏmS,ᓽ!_.(1)##஺448Ḅ%:.BD=4BA,#,ADEF4,ᡠ%4F஻DE,.BDBE1••--,ABBC2.\BE=-BC=4,221=4,t-2.(2)À0V/W2\E]EHVAB^H,ᫀ15⚓ᐳ23⚓

613ᙠ4BEH,BE=2t,si=-,361.EH=-BE=-t,556&S=ADXEH=5X-=63À2

62⚪ὃ)B,Ḅឋ1ÒÓ*+,Ḅឋ1fᑨ/x+*+,ᑖÒÔÕ4⚪Ḅᐵ3.4125.(1)ZBCD^ZBAE+45°,᪆j(2)᪆j(3)—=—BEk2-\ூᑖ᪆௃(1)ᙠx+*+,%;┦+m90஺aᑭᵨῪx+*+,+×Ḅឋ«\W´ᣚᓽ!j(2)ÙÚÛÜ{*+,ᐰOᑮÞßhOᑮ5àῪx+*+,aᑭᵨḄឋ1aÂ*+,ᐰOᑮÞßh᪷Ὺx+*+,Ὺh«\W´ᣚᓽ!j(3)áâᦪ«\*+,ÒÓOÞßᡂ=ã«\W´ᣚ³CW⊤åGᩭᓽ!BEh=.ூ"௃(1)NBCD=NB4E+45஺#^஺1.ZCDA=90°1.ZCAD+ZACD=90°'ZACD+ZBCD=900,1.NBCD=NCAD"1AC=CE,ZACE=90°,1.ZCAE=ZCEA=45°1.NBCD=/CAD=ZBAE+NCAE=ABAE+450(2)#pqCF,FN1.DF,ᚖèméFNCDஹN,EG//AD,EGDHA^G,1ZACE=90°,s44EḄ%:.CF=AF=EF,CFLAE••.N/FC=NCFE=90°YFNLDF,:.NDFN=90°ᫀ17⚓ᐳ23⚓

63ZAFD+/AFN=NAFN+ZCFN=90°1.NAFD=ZCFN91ZBCD=ZBAE+45°/FCE=45஺,f:/BAE=/FCN,:.4ADFq4CNF1.FN=FD♦/DFN=9Q஺,4FDN=4FND=45஺•:HE"CD,1.ZH=ZFDN=45°NADF=ZADC+NFDN='35஺■:EGHAD,1.ZFGD=NADF=135°ê,?NAFD=4EFG,1.AADg/XEGF:EG=ADVZEGH=180°-Z£GF=180°-135°=45°,ZH=ZEGH.1.EH=EG.1.AD=EH(3)#94C=CE=m,8C=km,1.BE=BC~CE=(Ar-1)m•1NADC=NACB,/DAC=/CAD,1.AACDsAABCCDBC,-----=——=k.ADAC,/EH=AD,-----=kEH*1/H=/FDN,/HME=4DMC,XMCDs"MEHCMCD,ê•.•CA/+A/E=C£,kmCMᨌ+ikBE~k2-lᫀ18⚓ᐳ23⚓

64Hc⚪ὃ)Bx+*+,ஹῪx+*+,ஹ*+,ᐰḄᑨ/fឋ1ஹÒÓ*+,Ḅᑨífឋ1᪗⚪ᔠឋ¶⚪Ḅᐵ34#îïðñhᐵ/ᳮÙÚ〉ÀÛÜ«\*+,ᐰᡈÒÓVᑮ+ôõḄWᐵX«\W´ᣚ_ö⚪.72626.ù1úজù-1,-1újঝ-1ᯠ§ᡈ1/2jù2ú-1þA130ᡈூᑖ᪆௃1ᐜᦪᐵজᑖy=-I!Ḅx$ᓽ&'(ঝ*ᦪ+,-.ᦪ+,ᑖx=-1,0x=l,x=2!Ḅᦪ$ᓽ&'(2ᐜ34ᦪᐵ56*+,7x=-10x=l!Ḅᦪ$89+,,ᓽ&'(3ᑖ“0,"?=0,=0,>?@AᑭᵨᦪḄᨬE$0!Ḅᦪ$789+,ᓽ&'(.ூGH௃x~-2,x+2(x>—)HI1J=g!ᦪ&ᓄM22//-x2+-x+-(x<-333TᫀV19⚓ᐳ23⚓

65জ┐[\ᦪy=/-2x+2,J]=-1!x2-2x+2=-1,^_`aH┐[\ᦪ᜛=-/+gx+g,?2J'=-1!ߟ/+=-1,Ax=|eᡈx=-1,JV=-l!+,Gf[ghḄᙶ᪗M-1,-1Pঝ*ᦪ+,᝞+1ᡠm22┐[\ᦪy=22J^=-_!j/=-l-y+-=-lW1n_L12127Jᑍ=o!y="+-x-+—=—,┐[\ᦪy=N-2x+2,Jx=l!y=1-2+2=1,Jx=2p^=22-2x2+2=2,7••J-19W2!yḄr$t-1/ᜧᡈ1/2P7[x2-6x+6(x>1)(2)Jm=1!,\-x2+2x4-2(x<1)*ᦪ+,᝞+2ᡠm,TᫀV20⚓ᐳ23⚓

66+2┐[\y=-x2+2x+2,Jx=-1!y=-1,Jx=l!ஹy=3,,wxy=2%+1
zM{ᦪ|+,GḄ}h~ᙶ᪗ᨬEḄ}hᙠwxx=-10x=loᒹ!•-1V2Z+1V3,--\/77,ὃ⇋ᦪy=7-6mx>^ᦪḄ+,᝞+3ᡠmTᫀV21⚓ᐳ23⚓

67•ᦪḄH᪆My=N-6/nx+6"?(.x>m),^ᦪḄ[Mx=3J஻?<0!3m0),+,᝞+3⁐xᩩ^!+,|ᙶ᪗⌕}h,J□>0!ᦪy=7-6MX+6஻Z(X>W)Ḅ+,᝞+3ᡠmḄ⁐xᩩ••.3஻2>♦.•+,|ᙶ᪗ᨵ-}h/•Jx=/w!y—~5□2+6=-tn(5m-6)>0,.16V—,5Jx=3஻z!y=-9஻»+6=-3஻(3-2)<0,ᓽ:<ீ2ᦪ+,|ᙶ᪗ᨵ-}hfm<0ᡈI<"?<ᦪ+,|ᙶ᪗ᨵ-}h.TᫀV22⚓ᐳ23⚓

68^⚪pᦪᔠ⚪⌕ὃ¡ᦪḄឋ£ᦪᐵḄ34ᑭᵨ+,ᑖ᪆0HTpH¤⚪Ḅᐵ¥.TᫀV23⚓ᐳ23⚓