2022-2023学年安徽省合肥市中考数学专项突破仿真模拟卷(一模二模)含解析

2022-2023学年安徽省合肥市中考数学专项突破仿真模拟卷(一模二模)含解析

ID:83404677

大小:5.18 MB

页数:59页

时间:2023-04-22

上传者:灯火阑珊2019
2022-2023学年安徽省合肥市中考数学专项突破仿真模拟卷(一模二模)含解析_第1页
2022-2023学年安徽省合肥市中考数学专项突破仿真模拟卷(一模二模)含解析_第2页
2022-2023学年安徽省合肥市中考数学专项突破仿真模拟卷(一模二模)含解析_第3页
2022-2023学年安徽省合肥市中考数学专项突破仿真模拟卷(一模二模)含解析_第4页
2022-2023学年安徽省合肥市中考数学专项突破仿真模拟卷(一模二模)含解析_第5页
2022-2023学年安徽省合肥市中考数学专项突破仿真模拟卷(一模二模)含解析_第6页
2022-2023学年安徽省合肥市中考数学专项突破仿真模拟卷(一模二模)含解析_第7页
2022-2023学年安徽省合肥市中考数学专项突破仿真模拟卷(一模二模)含解析_第8页
2022-2023学年安徽省合肥市中考数学专项突破仿真模拟卷(一模二模)含解析_第9页
2022-2023学年安徽省合肥市中考数学专项突破仿真模拟卷(一模二模)含解析_第10页
资源描述:

《2022-2023学年安徽省合肥市中考数学专项突破仿真模拟卷(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

2022-2023ḕᔠὃᦪ⚗ẚᔁஹ⌱⌱⚪ᐳ10⚪⚪4ᑖᐳ40ᑖ1.-2Ḅ)A.2B.-2c-7D.±22.ᑡḄ)A.(a3)2=a5B.a6-i-a3=a2C.(ab)2=a2b2D.(a+b)2=a2+b23.“ᡭὶᔠ“ᡭ”ᜧᓭᓅ#$2017%“ᡭ&ᡝ()*+,-ᑮ4930000000ᐗᵨ123ᦪ5⊤789A.4.93xl08B.4.93xlO9C.4.93xl01°D.4.93x10"4.᝞;ᙠ=>?@ABḼ=D?@EF=Gᔠ@ḄHI;᝞;ᡠ7ᑣF=Gᔠ@ḄLI;9VMA.τnτB.τEτc.τMD-11111-x-l>05.OᨵQG11RḄᨬD᦮ᦪU()1——x<012A.1B.2C.3D.46.᝞;XYZ[AB஻CD,NGEBḄ]ᑖ[EF_CD`F,Zl=40°,ᑣN2A.130°B.140°C.150°D.160°a1⚓/*59⚓

17.ᙠfg@hijkl%mn᝕p2Ḅᑖqrᓷtᙶᡂw(ᓫy:=)᝞⊤:ᡂw454647484950Rᦪ124251FijᡂwḄkyᦪᦪᑖ8()A.47,49B.48,49C.47.5,49D.48,50k8.᝞;ᡠ7Z^OACABADῪZZAC0=ZADB=90°,ᦪ=ᙠX▲Ḅ;`B,0A_`P,E0A2-AB2=18,ᑣ`PḄᙶ᪗8()A.9B.6C.3D.3£9.᝞;¤¥ABCD¥>81Ḅ?,E,F8BDᡠᙠZ[AḄ¨`EAE=J^,ZEAF=135°,ᑣᑡª«Ḅ()1C.AF=®A.DE=1B.tanZAFO=-D.¤¥329AFCEḄ☢±8410.²gᦪ³a/+bx+c(gO)Ḅ;᝞;ᑡ¤=ª«¹জ4o+cV0½ঝm(am+b)+b>a(mr-l)½ঞᐵxḄᐗ²g?ÄÅf+(b-1)x+c=OOᨵÇᦪ᪷½@ak^+bk2

2²ஹÎÏ⚪(Ñ⚪ᐳ4D⚪Ó⚪5ᑖᐳ20ᑖ)11.ᑖUÔQ2k2+4Õ+2x=12.EÇᦪXஹyØÙ|x-4|+J7/=0,ᑣÛXஹyḄ8¥>ḄῪḄᕜ>8.13.᝞;,ᙠ஺஺kCDZÞßAB_LCD,ᚖÙ8E,ENC=22.5°,AB=6cm,ᑣ▢åæᑖ☢±8_____.14.ᙠ]礥ABCDkAEᑖNBAD_¥BCE,DF]ᑖèM)C_¥BCF,EAD=\\,EF=5,ᑣAB=_.ஹUê⚪(Ñ⚪ᐳ2D⚪Ó⚪8ᑖᐳ16ᑖ)15.¹|-2|-(1+72)஺+4-gcos30°.16.ᐜᓄîïð.2x2—3(—+§k)+2/]—2(x)—ô2y2),ᐸkx=g,y=-1.¤ஹ(Ñ⚪ᐳ2D⚪ÓD⚪8ᑖᐳ16ᑖ)17.õY¹᝞;AABC=⚔`Ḅᙶ᪗ᑖ8A(0,-3)ஹB(3,-2)ஹC(2,-4),?÷økÓ=D?Ḅ¥>1=ᓫy>ù.a3⚓/*59⚓

3(1)úAABCᔣA]ü6=ᓫyýᑮḄAAIBICI½(2)Û`C8yþᙠ÷økú4A2B2c2,ÿZSA2B2c2AABCAAzB2c2AABCḄ21,ᑏA2Ḅᙶ᪗.18.Ḽ!"#ᦈᐭḄ&ᨵ()*+,-.ᩭ.0ᙢ2ᐭᑮᔜ567.8ᜧ:;<=>?,@A⚪CDEFG)HIJ⚔?,LḄEFMNO.ᢥQR?,,Lᚁ⍝UVᚁ⌕XY▲*᪗[\]^_,`aᔲcᐭ.᝞Oᙢ☢ᡠᙠḄhMEJ⚔ᡠᙠḄhACklmḄCDḄop0.5m,t+,uvᚁ⍝UḄ▲*DFḄx(z{ᑮ0.1m,$}28~0.47,!ஹ(⚪ᐳ2⚪⚪10ᑖᐳ20ᑖ)19.Iᐰᦻ®¯ᑡA⚪(1)t²³ᡃ

420.ᵯÅÆḄ“ÈÉÊᜧË”⁚¾ᦻᓄ*ᑁÏÐÑ.8᪥ÓÔÕÖ×ØÙ“ÈÉÊᜧË”ËÚᐰÕ¨ÛᡂÜ2mFÝᑖ“”ஹ“ßà”ஹ“áâ”ஹ“ãä”å5æÕ᪷ᡂÜèᑴᡂ᝞¯³ê&ᨵ½᦮ḄFOFOÈḄìíᑡA⚪$%&'('*+,ᜧ./.ᡂ1ᩩ3456AS?_140_120_100_乃80_t60_60二40_4520_(1)ᡧñFOÈ“”ᡠÚòᡧñḄᙊôõpöᩩñFO⊡ᐙ½᦮.(2)úûËᨵåü¨Ûýþÿᑖᑖᵬஹஹஹᢧ⌱᪥Ḅ“ᜧ!ᵨᑡ⊤%ᡈ'᪛)*%+,⌱Ḅា.ᵬஹḄᭆ᳛.2ஹ(4⚪ᐳ17⚪ᐳ12ᑖ)21.᝞*AB00Ḅ:;

5pḄCᐵrs᝞t.uvᖪfḄwlj30ᐗ/{|}ᖪfḄkljyᓫLᐗ/{ᜩḄpjpᓫL{ᜩḄᑭjwᓫLᐗ.1+,wBxḄᦪᐵM2}ᖪfgᜩᜩḄᑭQ+,ᑭM3}ᖪfᙠFᨵᜩᜩḄᑭᨵE5600ᐗ!:ᑏ,.ஹ4⚪ᐳ17⚪ᐳ14ᑖ23.᝞*1,ᙠRtZXABCZC=90°,AC=6,BC=8,ª

62022-2023ḕᔠὃᦪ⚗ẚᔁஹ⌱⌱⚪ᐳ10⚪⚪4ᑖᐳ40ᑖ1.-2ḄÍÜEA.2B.-2C.yD.±2ூÞßàᫀ௃Aூãä௃äL᪷æᦪç?[²ᦪBè<Ḅéêëì²ᦪḄÍḄíîᙠᦪç?<-2ᑮè<Ḅéê2,ᡠ±-2ḄÍ2,ᦑ⌱A.2.tᑡðñÞßḄA.a32=a5B.a6-ra3=a2C.ab2=a2b2D.a+b2=a2+b2ூÞßàᫀ௃Cூãä௃ò⚪ᑖ᪆LAஹôᦪᨵÕᢣᦪCöᦑA┯øMBஹôᦪᨵÕᢣᦪCùᦑB┯øMCஹúûöüÜE²ýᑖöüþÿᡠḄᕆᦑCDஹḄḄᦑD┯ᦑ⌱C.ூὃ௃1.ḄḄ2.ᦪ"Ḅ◀$3.%ᐰ'(.)7⚓/,59⚓

73.“//ᡭ1ὶᔠ4567“//ᡭ1”9:;<=>ᜧ@ᓭᓅCDE2017F“//ᡭ1GᡝIJ,KLMᑮ4930000000ᐗᵨQRSᦪ$⊤UVWXA.4.93x108B.4.93xlO9C.4.93^1010D.4.93*10”ூYᫀ௃Bூ[\௃ᵫQRSᦪ$Ḅ⊤U^(VaXlGஹḄ^(ᐸ`1WnV᦮ᦪ.bnḄcd⌕fghᦪiᡂadkᦪlmnopqnḄckᦪlmḄqᦪ.rhᦪc>1dnsᦪrhᦪḄcVIdnstᦪ.uv4930000000=4.93x109.ᦑ⌱B.wxv⚪ὃznQRSᦪ$Ḅ⊤U$.QRSᦪ$Ḅ⊤U^(VaxlO”Ḅ^(ᐸ`10a|<10,nV᦮ᦪ⊤Udᐵ|⌕baḄc}~nḄc.4.᝞ᙠ9Ḽ9kᔠḄ᝞ᡠUᑣᔠூYᫀ௃Bூ[\௃ᵫh^`Ḅqᐵ᣸◀AஹCஹD.ᦑ⌱B."1205.ᨵ(11Ḅᨬk᦮ᦪ\sWX199x<0I2A.1B.2C.3D.4ூYᫀ௃C)8⚓/,59⚓

8ூᑖ᪆௃✌ᐜ\ᨵ(`Ḅᨵ(ᯠbᨵ(Ḅ\b\`Ḅᨬk᦮ᦪᓽ.x-l>0W1Xூ[\௃ᨵ(W1¥kஹl--x<0W2X\ᨵ(W1Xxx>l,\ᨵ(W2Xxxு2,ᡠ}ªᨵ(Ḅ\Vxx>2,ᜧ2Ḅᨬk᦮ᦪs3,x-l>0ᡠ}ᨵ(11Ḅᨬk᦮ᦪ\s3,199x<0I2ᦑ⌱xC.®⚪ὃz¯9ᐗᨵ(Ḅ᦮ᦪ\.°±²³\9ᐗᨵ(Ḅ´®µ¶·¸¹Cᨵ(Ḅឋ»¼E½s\¾v⚪Ḅᐵ|.6.᝞ÀÁÂÃAB஻CD,NGEBḄᑖÃEFÌCDF,Zl=40°,ᑣN2A.130°B.140°C.150°D.160°ூYᫀ௃Dூ[\௃\xVAB//CD,.,.ZGEB=Zl=40o.xEFVNGEBḄᑖÃAZFEB=yZGEB=20".AZ2=180°-NFEB=160°.ᦑ⌱D.)9⚓/,59⚓

97.ᙠÙÚÛÜÝ`ÞFß9à᝕RḄ9ᑖâãᓷåᙶᡂçWᓫq:X᝞ê⊤:ᡂç454647484950ëᦪ124251vÜÝᡂçḄ`qᦪìᦪᑖíVWXA.47,49B.48,49C.47.5,49D.48,50ூYᫀ௃Bூ[\௃Ý⚪\᪆xÜÝḄëᦪs15ëᜐ)8qḄs48,ᡠ}`qᦪs48.49ḄÚᦪïoìᦪs49.ᦑ⌱B.k8.᝞ᡠUð0ACABADñsῪÂóôó^ZAC0=ZADB=90°,õö÷øᦪù=9ᙠxú▲ḄüB,OAÌP,0A2-AB?=18,ᑣPḄᙶ᪗A.9B.6C.3D.372ூᫀ௃Cூ௃⚪᪆#$8ᙶ᪗%6&'•.•)Q4C,AHW-./Ὺ12324'**-OA=y[2AC,AB=42AD.OC=AC,AD=BD,VOA2-AB2=18,510⚓/959⚓

10:.2AC2-2AD2=\S,AC2-AD2=9,.AC+ADAC-AD^9,.(OC+BD)CD^9,.a-h-9,k-9.9;<=>ᦪ⊤AB.#C=D.x1E0ZḄ⊤AB#C=F92y=—(x=37x=-3ὶHIJ#KxL#M'ᡈK.(PQ)._U=3y=-3.vrPḄᙶ᪗.3.ᦑᫀ3.9.᝞U'VW4ABCD.WX1ḄI4'E,FBDᡠᙠ1E[Ḅ\']AE=0,CAF=fD.VW49AFCEḄ☢_D4ூᫀ௃Cூᑖ᪆௃᪷bI4Ḅឋde%AOḄX'ᵨghiᳮe%EOḄX'ᯠlᵫNEAF=135஺o511⚓/959⚓

11NBAD=90஺pqLᑮst324'᪷bst324Ḅឋde%BFḄX'uDDvwᓽpᑨz.ூ௃,•VW4ABCD.I4''AB=CB=CD=AD=1,AC±BD,ZADO=ZABO=45°,5.,.OD=OB=OA=—,ZABF=ZADE=135°,2ᙠRtAAEO{'EO=yjAE2-OA2=-2|.DE=&,ᦑA┯~.VZEAF=135°,ZBAD=90°,|.NBAF+NDAE=45஺'VZADO=ZDAE+ZAED=45°,.♦.NBAF=NAED,.♦.ABFS/XEDA,.AFAB"^E~~DE'AF_1••"=#’AF=@g,ᦑC'2O^=yjAF2-OA2=V2tanZAFO=OA_2_1'ᦑB┯~'~OF~^2~2SWAECF=—ACEF=-xy[2x*2&——,ᦑD┯~'2222ᦑ⌱C.⚪ὃḄ.st324Ḅᑨiឋd'᪷bI4Ḅឋd'ᵨghiᳮe%sEḄX,u᪷bNEAF=135஺,NBAD=90஺'Lᑮst324'ᵨst324Ḅឋde%AFḄX'ᯠ512⚓/959⚓

12l᪷bឋe%VW4Ḅ☢_.10.>ᦪᱏa/+bx+c("0)ḄU᝞U'ᑡV#জ4a+c<0#ঝm(am+b)+b>a(m*-1)|ঞᐵxḄDᐗIJa?+(b-1)x+c=0ᨵᦪ᪷|©ak%bkYa(K+1)2+ᓃ(k2l)(Aᦪ).ᐸ{Ḅᦪ.()+ூᫀ௃Dூ௃জ>ᦪḄ¡.1Ex=-1,ᵫUpL¢£Ḅᙶ᪗ᜧ-3,¦-2,ᡠq——-=-1,pLb=2“'2a¨x=-3©'y<0,ᓽ9a-3b+c<0,9a-6a+cV0,3a+c<0,•QV0,\4a+c<0,ᡠqজ⌱⚗|ঝ;¬ᱥEḄ¡.1E®-1,••y=a-b+cḄ¯'ᓽ°±"7Qm/-1)²ᐭL#y=am2+bm+c

13ᡠq´⌱⚗ᨵ|ঞ*2+(6-[)x+c=O,)=(ft-1)2-4ac,"a<0,c>0,.".ac<0,-4ac>0,V(b-1)2>0,ᐵxḄDᐗIJax1+-1)x+c=Oᨵᦪ᪷|টᵫUL#¨x>-1©'yÂxḄÃᜧÄŦ'•.•¨[ᦪ©'0ÆǨx=k2Ḅ¯ᜧx=k2+\Ḅ>ᦪ¯'ᓽᡂ4+஻2+c>a(Ê+1)2+b(r+1)+c,ak^+bk2>a(k2+1)2+b(A2+l).ᡠq´⌱⚗ᨵ|ᡠqḄᦪ.1'ᦑ⌱D.%ஹ;<⚪(⚪ᐳ4⚪⚪5ᑖᐳ20ᑖ)11.ᑖB2Í2+4Í+2x=ߟூᫀ௃2x(y+l)2ூᑖ᪆௃ÏBÐÑÊB'uᑭᵨÓᐰÕIÊBᑖᓽp.ூ௃ÏB=2x(y2+2y+l)=2x(y+1)2,ᦑᫀ2x(y+1)2´⚪ὃÖÐÊB×ÊB×ḄØᔠᵨ'ÚÛÜÝBᑖḄI×.⚪ḄᐵÞ.12.]ᦪxஹyàá|x-4|+Jji=o,ᑣqxஹyḄ¯WXḄ/Ὺ324ḄᕜX.514⚓/959⚓

14ூᫀ௃20ூᑖ᪆௃ᐜ᪷béêᦪḄឋdᑡBe%xஹyḄ¯'uᑖ4.ῪXëW\ìíîïe#ூ௃᪷b⚪ðL,x-4=0,y-8=0,Lx=4,y=8.জ4.ῪX©'324Ḅ3Wᑖñ4ஹ4ஹ8,•.•4+4=8,.♦.ᨵòóᡂ324'ঝ4.ëW©'324Ḅ3Wᑖñ4ஹ8ஹ8,òóᡂ324'ᕜX=4+8+8=20.ᡠq'324ḄᕜX20.13.᝞U'ᙠ00{'CD.1ô'õABLCD,ᚖáE,]NC=22.5°,AB=6cm,ᑣ▢øùᑖ☢_.9ூᫀ௃--9ூ௃⚪᪆#úû3,OBஹvZC=22.5°,...N4OD=45",515⚓/959⚓

15•/AB1CD,ZAOB=90\:.OE=-AB^3,OA^OB=—AB=3y/2,22•0OACR90FX(3&)21,_9஺•,S▢øDSᡧ4DS&AOB----------------x6x3=Dᐔ—9.360229ᦑᫀᐔ—9.2ᡧḄ☢5=—.36014.ᙠABCD!"AEᑖNBAD#BC$E,DFᑖ&M)C#BC$F,*40=11,EF=5,ᑣAB=_.ூ./ᫀ௃8ᡈ3ூᑖ᪆௃᪷54E7஺9:ᔲ<#ᑖ=>?"ᑖ@ABCDḄE"᪷5ḄឋGஹIḄឋGஹJᑖIḄKL7MJCMᓽOPBQ?.ூRS௃SজUZE7஺9<#W"᝞YEᡠ[61'•/_`"40=11,EF=5,"8஺a4஺abb"AD//BC,AB=CD,/DAENBEA,/ADF/CFD,AEᑖN84D,DFᑖN4OC,,,ZDAE-ZBAE,/ADF=NCDF,>/BEA=/BAE,/CFD=/CDF,f16⚓/h59⚓

16:BE=AB,CF=CD,:BEABCD=CF,•6BE+CF=BC+EF,2J6d+5,SPAB-ঝUjE7஺Fkᨵ<#W"᝞YEᡠ[••45CQ"40=11,EF=5,BC=AD=,AD஻BC,AB=CD,,/DAE=/BEA,/ADF=/CFD,•AEᑖN8/O,DFᑖN/QC,b/DAEnNBAE,NADF=ZCDF,/BEA=NBAE,NCFD=/CDF,BE=AB,CFCD,:BE=AB=CD=CF,♦BE+CF+EF=BC,2/8+Saa1"SPAB8mnᡠo48=8ᡈ3,f17⚓/h59⚓

17ᦑ8ᡈ3.p⚪ὃsḄ:ḄឋGஹIḄឋGஹJᑖIḄKL7MῪuJḄឋG"vwḄឋGஹIḄឋGஹJᑖIḄKL7MJCM:Sxp⚪Ḅᐵz.=ஹ>?⚪(⚪ᐳ2⚪⚪8ᑖᐳ16ᑖ)15.{||-2|-(1+72)஺+"-/cos30஺.ூ./ᫀ௃-2ூᑖ᪆௃᪷5ḄឋG"_ḄឋGஹa_᪷ḄឋGஹ┦JuJᦪ"ᓄᓽOS.ூRS(1+72)°+^4-y^cos30°=2-1+2-,32=2-1+2-y,5=—2.16.ᐜᓄ".2x2—3^——x2+—+J—2^x2—xy—2y2j,ᐸ!x=g,y=-1.9ூ./ᫀ௃N+272,.ூᑖ᪆௃ᐜ¡"!¡"ᔠ£¤=⚗"¦ᐭBᓽO.ூ௃2x2-3^——x2+-xy^-^-2y2-2^x2-xy-2y2j=2x2-[-x2+2x)^-2y2]-2x2+2xy+4y2=2x2+x2-2xy-ly2-2x2+2xy+4y2f18⚓/h59⚓

18=x2+2y2,Ux=L,y=-1W"2"_,19©=—n2=—.44ª⚪ὃs«᦮Ḅ®■ᓄ"°±Ḅ²³ᨵ¡´ᑣ"µ±ᔠ£¤=⚗´ᑣ"¶·vw´ᑣ:Sª⚪Ḅᐵz.ஹ(ª⚪ᐳ2⚪"¹⚪8ᑖ"ᐳ16ᑖ)17.º²᝞EAABCu»⚔Ḅᙶ᪗ᑖ@A(0,-3)ஹB(3,-2)ஹC(2,-4),.¿ÀÁ!"¹».¿ḄÂ:I»ᓫÄÂÅ.(1)ABAABCᔣnÇ6»ᓫÄPᑮḄAAiBiCiÉ(2)µCÄÊ"ᙠÀÁ!ABAA?B2c2,ËAAzB2c2ÌAABCÄÊ"ÍAAR2c2ÌAABCḄÄÊÎ21,£ᑏBA2Ḅᙶ᪗.ூRS௃Ð⚪ᑖ᪆(1)ᑭᵨÇḄឋGPBCDÄÓÔÕPBᫀÉ(2)ᑭᵨÄÊEḄឋGPBCDḄÄÓÔÕPB.Ð⚪S᪆:প᝞Eᡠ[ØᔊG,ᓽᡠÉফ᝞Eᡠ[Ø⊈&C2,ᓽᡠÉ⊈ᙶ᪗(-2,-2)f19⚓/h59⚓

1918.ÜḼÞßàáᦈᐭḄkᨵãäå"æçèéᩭéëᙢÔᐭᑮᔜ»îï.ðᜧòóôõSöç÷ø⚪"ùúû{üäý«þ⚔öçÿḄ.ᢥ,ᚁ⍝ᚁ⌕▲᪗ᔲ!ᐭ.᝞ᙢ☢ᡠᙠḄ()ME,-⚔ᡠᙠḄ()AC123ḄCDḄ5670.5m,;<=>?ᚁ⍝Ḅ▲DFḄABCDᑮ0.1m,sin28°M.47,cos28°s=0.88,tan280~0.53).ூYZ[ᫀ௃ᚁ⍝Ḅ▲DFḄA13.8m.ூ^_௃`⚪ᑖ᪆d✌ᐜ᪷hAC஻ME,jkZCAB=/AE28°,o᪷hpqrᦪt

20x.DF=BDcos28°=4.27X0.88=3.7576;«3.8Bm,[dᚁ⍝Ḅ▲DFḄA13.8m.ஹB⚪ᐳ2⚪⚪10ᑖᐳ20ᑖ19.7ᐰᦻᡂD<Ḅ¡ᓣ£¤ᩭᡃ§᩽©ª⁚¬᣸®¯°3±⁐³h´ᡃ2016¤Ḅ±⁐³☢§µ7950¶2·¸2018¤¹ᑮ1862¶2·¸.º2017¤ஹ2018¤Ḅ±⁐³☢§ᢥ»¼Ḅ½A᳛⌲¤⌴½Á_[ÂᑡÄ⚪dB1;ÅƤᡃ°3±⁐³☢§Ḅ¤2ᙳ½A᳛xB22019¤ᡃᑜ°3±⁐³☢§¹ᑮ2400¶2·¸.᝞D2019¤ÉÊᢝ»¼Ḅ¤2ᙳ½A᳛ÁÌ⚜Î2019¤ᡃᔲÏᡂᑜÐ᪗ÑூYZ[ᫀ௃B1ÅƤᡃ°3±⁐³☢§Ḅ¤2ᙳ½A᳛740%xB2᝞D2019¤ÉÊᢝ»¼Ḅ¤2ᙳ½A᳛2019¤ᡃÏᡂᑜÐ᪗.ூᑖ᪆௃B1ÅƤᡃ°3±⁐³☢§Ḅ¤2ᙳ½A᳛x,᪷h2016¤Ḅ±⁐³☢§µ7950¶2·¸Ô2018¤¹ᑮ1862¶2·¸ᑡ<·Õ;_ᓽjxB2᪷hB1;<Ḅ½A᳛Ä⚪ᐜ;<⚜Î2019¤±⁐³☢§o,ᑜ°3±⁐³☢§¹ᑮ2400¶2·¸u3Ö×ᓽjk<[ᫀ.ூ^_௃B1ÅƤᡃ°3±⁐³☢§Ḅ¤2ᙳ½A᳛7x,ᑣᨵ950Bl+x2=1862,_k,XI=0.4,X2=-2.4ÛÜᓽÅƤᡃ°3±⁐³☢§Ḅ¤2ᙳ½A᳛740%xB2ᵫ⚪jk1862xBl+40%=2606.8,V2606.8>2400,...2019¤ᡃÏᡂᑜÐ᪗ᓽ᝞D2019¤ÉÊᢝ»¼Ḅ¤2ᙳ½A᳛2019¤ᡃÏᡂᑜÐ᪗.⚪ὃáâᐗäå·ÕḄæᵨ_⚪ᐵé1⌕êë⚪ÐḄì᪷h⚪Ðí<ḄᩩïÔ½A21⚓/59⚓

21᳛Ä⚪Ḅᦪðᐵñᑡ<·Õu3;_.20.ᵯóôḄ“{ö÷ᜧù”⁚Ðᦻᓄüᑁþÿ.᪥“ᜧ”ᐰᡂᑖ"“”ஹ“$%”ஹ“&'”ஹ“()”*+,-᪷/ᡂ0ᑴᡂ᝞3456ᨵ8᦮Ḅ;<;Ḅ=>?@3ᑡB⚪D$%&'@A*+,ᜧ.B$%&'@A*C,ᜧ./.ᡂ1ᩩ3456/.ᡈE◀56_140_120_100_80二n456060-_40_200一4(1)ᡧJ;ᡠLᡧJḄᙊNO"Q-RᩩJ;⊡ᐙ8᦮.(2)WXᨵ*YZ[\ᑖᑖ]^ᵬஹ`ஹaஹbcde*Yᢧ⌱4Yhi᪥jḄ“ᜧ”<ᵨᑡ⊤mᡈo᪛q;mrs⌱Ḅ4Yា%^ᵬஹbḄᭆ᳛.ூxy@ᫀ௃(1)72}⊡;~᪆}(2)6ூᑖ᪆௃(1)ᵫᕜO“”ᡠLḄᡧJḄᑖᦪ[s“”ᡠLḄᡧJḄᙊNQᦪ}rsᐰᦪ[s“$%”Ḅᦪ⊡ᐰ;ᓽD(2)os᪛q;ᵫᭆ᳛ᓽ[s@ᫀ.ூ௃(1)360°(1-40%-25%-15%)=72°}ᦑ@ᫀ"72}ᐰᦪ"45-15%=300()“$%”Ḅᦪ"300'40%=120()RᩩJ;⊡ᐙ8᦮᝞;ᡠD22⚓/59⚓

22AS?2o᪛q;᝞;ᡠDᐳᨵ12+Ḅ¡¢⌱Ḅ4Yា%^ᵬஹbḄ¡¢ᨵ2+P£⌱Ḅ4Yាᵬᵬᵬὃ¥Dᑡ⊤m¦᪛q;m}ᡧJ;}ᩩJ;.§ஹ£¨⚪ᐳ1©⚪ᐳ12ᑖª21.᝞;AB^஺0Ḅ¬¥Cᙠ0O¯/ABCḄ°ᑖ±¦AC²³´¥D,¦஺0µ¥AḄᑗ±²³´¥E.1NACB=°,ᳮᵫ^D}2¹º4EADḄJq-»¼½Ḅ¹º}3¾AB=8,AD=6,rBD.ூxy@ᫀ௃£190°}¬ᡠḄᙊᕜO^¬O}£2»¼~᪆}£3y23⚓/59⚓

23ூ௃¿⚪ᑖ᪆D(1)᪷/AB^஺0Ḅ¬¥Cᙠ00¯ᑭᵨ¬ᡠḄᙊᕜO^¬Oᓽ[ᑮ¡Â}(2)᪷/NABCḄ°ᑖ±¦AC²³´¥D,[ᑮNCBD=NABE,Ã᪷/AE^00Ḅᑗ±[ᑮZEAB=90°,dÄ[ᑮ/CDB+NCBD=90°,,ÅÆᣚ[ᑮNAED=NEDA,dÄᑨÉ4EAD^,ῪËOJ.(3)»[ÌCDBs/\AEBÍBD=5x,ᑣCB=4x,CD=3x,dÄ[ᑮCA=CD+DA=3x+6,ᯠᙠ¬OËOJACBᑭᵨAC2+BC2=AB2[ᑮ(3x+6)2+(4x)2=82[xᓽr[BDḄÐ.¿⚪᪆D(1)..Ñ1^00Ḅ¬¥Cᙠ஺0¯AZACB=90°(¬ᡠḄᙊᕜO^¬O)(2)4EAD^,ῪËOJ.»¼DDNABCḄ°ᑖ±¦AC²³´¥D,/.ZCBD=ZABEVAE^஺0Ḅᑗ±ZEAB=90°.,.ZAEB+ZEBA=90°,VZEDA=ZCDB,ZCDB+ZCBD=90°,VZCBE=ZABE,AZAED=ZEDA,AAE=ADAAEAD^,ῪËOJ.(3)DVAE=AD,AD=6,.♦.AE=AD=6,VAB=8,ᙠ¬OËOJAEB,EB=10VZCDB=ZE,ZCBD=ZABE.,.ÌCDB^AAEB,.AEDC_6_3•.===,4BBC8424⚓/59⚓

24.•.ÍCB=4x,CD=3xᑣBD=5x,CA=CD+DA=3x+6,ᙠ¬OËOJACB,AC2+BC2=AB2ᓽD(3x+6)2+(4x)2=82,[Dx=-2£ÓÔªᡈx=&2514.\BD=5x=&5•¥ÕD¨⚪ὃÖ×ᙊḄØᔠÚÛ⚪ÜÝÞᑮ×ᙊᕜOÉᳮஹ,ῪËOJḄឋà¦ᑨÉÞ²áËOJḄᑨɦឋàâQ,ã¯.äஹ£¨⚪ᐳ1©⚪ᐳ12ᑖª22.åæᦪᐶè©éêë᦮ᳮsìᖪîᙠxᜩ£1WXW90,ðx"᦮ᦪªḄñò¦ÅḄ²ᐵ=>᝞3.ôÚᖪîḄò"30ᐗ/öÍ÷ᖪîḄñò"y£ᓫùDᐗ/öªúᜩḄÅ"p£ᓫùDöªúᜩḄᑭû"w£ᓫùDᐗª.£1ªrsw¦xḄüᦪᐵý}2B÷ᖪîþᜩÿᜩḄᑭᑭ3ᖪᙠᨵᜩᜩḄᑭᨵ5600ᐗᑏ.ூ!"#ᫀ௃&1'(᪆&2*45ᜩ+ᜩ,-Ḅᑭᑭ.6050ᐗ&3ᐳᨵ24ᜩᜩḄᑭᨵ5600ᐗ.ூ0(௃1⚪ᑖ᪆4&11SW50+5ᖪḄ67y8+9xḄ:ᦪᐵ=>?@A+b,ᵫCḄᙶ᪗ᑭᵨGH=ᦪIᓽKL+yᐵxḄ:ᦪᐵ=>᪷NOPK-50Q90+R90.STH⊤V5ᜩḄWp8+9xḄ:ᦪᐵ=>?p=mx+஻ᝅᐭᦪNᑭᵨGH=ᦪI*25⚓/]59⚓

25ᓽKpᐵXḄ:ᦪᐵ=>᪷Nᑭ=ᓫaᑭXᦪWᓽK-WᐵXḄ:ᦪᐵ=>2᪷NwᐵxḄ:ᦪᐵ=>ᑖbὃ⇋ᐸᨬgh⚪.1ᩏ50+jk:ᦪḄឋAᓽKᙠLnᑁwḄg50Wp90+᪷N:ᦪḄឋAᓽKᙠLnᑁwḄgqrgstuᓽK-v43wWN5600,K-ᐵxḄxᐗjkᨵy>zxᐗᨵy>(ᨵy>ᓽK-xḄ{gnᵫLᓽK-v.1⚪(᪆4&110ᔢ50+5ᖪḄ67y8+9xḄ:ᦪᐵ=>?}6+bh6?~ᦪ0,:;kx+b<ஹ0,40>50,90,6=40%=1'^50k+b=90>(-'=4067y8+9xḄ:ᦪᐵ=>?y=x+4050Q90+}90.x+40l«xW50,x?᦮ᦪ•678+9xḄ:ᦪᐵ=>?R“ya□ஹ..9050?p=mx+஻&஻஻?~ᦪ#0,•.,p=஻7x+஻C&60,80ஹ&30,140,60+஻=80m=-24()஻+஻=140'(-4“=200'.p=-2x+200(0v=(y-30)p=(x+40-30)(-2x+200)=-2x2+180x+200050sxs90+w=(90-30)(-2x+200)=-120x+12000.ᡠᜩḄᑭvv8+9xḄ:ᦪᐵ=>.-2x2+180x+2000<11

26a=-2<0l...x=45+,w{g,g?6050ᐗ.500p90+w=-120x+12000,"-'k=-I20<0»w§x¨ᜧª«¬,.•♦x=50+w{gg?6000ᐗ.V6050>6000,.,.x=45+w,g?6050ᐗ.ᓽ*45ᜩ+ᜩ,-Ḅᑭᑭ.6050ᐗ.&3l5600,ᓽ-2x2+180x-3600>0,(-430Ḅºᵨஹxᐗjkᨵy>Ḅºᵨ»¼ᑭᵨGH=ᦪI:ᦪ(᪆>(⚪Ḅᐵ½4&1᪷NCḄᙶ᪗ᑭᵨGH=ᦪI:ᦪᐵ=>&2ᑭᵨjk:ᦪ8:ᦪḄឋA(¾ᨬgh⚪&3-ᐵxḄxᐗzxᐗjkᨵy>.·⚪¿À᫏⚪ÂÃᨵᜧÄuÅᳲ(¾⚪Ç⚪È+᪷NTHᦪWᐵ=É:ᦪᐵ=>.ᐵ½.ஹ&·⚪ᐳ1¬⚪ᐳ14ᑖ23.᝞O1,ᙠRtZXABCÀZC=90°,AC=6,BC=8,ÓCPÕCAÖ×ØÙACᔣCC»1rᓫÛÜÃḄÝÃÞÓÓCQÕCCÖ×ØÙCBᔣCB»à2rᓫÛÜÃḄÝÃÞÓCPsPD஻BC,âABCD,ãPQᑖäÕCAஹCå+æᐸÀxCᑮèéC+,*27⚓/]59⚓

27ëxCì§íîïÞÓ5ÞÓ+9?tà(t>0).(1)ᵨñtḄòᦪ>ᑖä⊤4QB=,PD=.(2).ᔲôᙠtḄgõöÙPPDBQ?÷PøôᙠtḄgøᨵôᙠùúᳮᵫ.üý᝞þᦋQḄ(ᒴ)PDBQᙠQḄ(3)᝞2,ᙠ᦮!PQMᡠḄ#$%.416ூ()*ᫀ௃(1)8-2t-t(2)-ᨵ/ᙠᳮᵫ23᪆5QḄ678ᓫ:%;57PDBQ;(3)2<ᓫ:%.ூ=3௃3>?1᪷A⚪CD>CQ=2t,PA=t,.••QB=8-2t,>ᙠRtZ^ABCZC=90°,AC=6,BC=8,PD஻BC,.,.ZAPD=90°,PDBC4tanA=-----=-----=—,PAAC34PD=-t.34ᦑ*ᫀ?18-2t,-t.3?2-ᨵ/ᙠᙠRtZXABCZC=90°,AC=6,BC=8,.*.AB=10PD஻BC,.♦.APDS/XACB,H28⚓/K59⚓

28.AD__AF_AD__t_mABAC1065AD=—t,35ABD=AB-AD=10--t,3BQ஻DP,,•5BQ=DPPDBQ;NO4z12ᓽ8-2t=—,3D>t=—.35ᵪ12412165125t=—8PD=-x—=—,BD—10--x—=6»535535ADP/BD,AaPDBQ-ᨵR.SQḄ67vᓫ:%45nlTlUBQ=8-vt,PD=—t,BD=10--t,33⌕PDBQᑣPD=BD=BQ,5PD=BD.ᓽ3t=10-*t,3D>t=—3335PD=BQ,t=Xᓽ±xW=8-W,3D>Y="3333155QḄ67IIᓫ:%47PDBQ;.3᝞2,\C]\ACᡠᙠḄ^x_`aN☢^cᙶ᪗f.g⚪Chigt",5t=0MiḄᙶ᪗?3,0,5t=4M2Ḅᙶ᪗?1,4.S^MiM2Ḅ3᪆jy=kx+b>.34+6=0,•k+b=4'k=-23Db=6k^MiM2Ḅ3᪆jy=-2x+6.1Q(0,2t),P(6-t,0)H29⚓/K59⚓

29.•.ᙠ!PQM3Ḅᙶ᪗?l/6—t6—tmx=------nᐭy=-2x+6Dy=-2x---------i-6=t,226.

302022-2023ḕᔠὃᦪ⚗ẚᔁ%GIᔁ⌱⌱ᔁDᑖ1.10ḄN᪷;?ªA.10B.?«c.-VioD.i/io2.ᑡ()Ḅ;?ª3A.xb+x}=x9B.m•?¬23=6c.=-9«D.?212ª3=-8163.ᙽyᩈ᝞ᡠ,®Ḅ¯°;?ªAHIJᔣB.C.D.!!4.᪷A¡¢£¤¥¦§±²³´ᐰᳫ·¸)¹º»¼§½522000000,ᵨ¾¿ÀᦪÁ⊤©ᦪA;?ªH31⚓/K59⚓

31A.5.22x10sB.5.22xIO9C.522xlO6D.0.522x10'05.᝞Â^cycÃ᝞ᡠ᤮ÅNZ=30஺Z£=45\NC=NFDE=90஺.⚔஺ᙠ/CpS.EF//AB,ᑣNCQᔆḄᦪ;?ªA.10°B.15°C.20°D.25°6.ᓅÍ2022ᔡἝᱥ"ÑÒÒ"Ó"ÔÕÖ”ØᑮᜧÚḄÛ᰿ÝÞß©àáᔡἝᱥâãpᜩ200015ᑖåæàᜩçញ¬ép5200.êæ´Ḅë%᳛ᙳX.ᑣhᑡ()Ḅ;?ªA.2000(1+x)2=5200B.2000(l-x)2=5200C.2000+2000(1+x)+2000(1+x)2=520CD.2000(1+x)+2000(1+x)2=52007.ᙠ-ᨵîïḄðñÅòvóᳫ,ôᳫᐳ5©ö÷ᳫ◀ù⁐᜜ᐸýᙳwþᦪ¿÷¤6ÿ᥎ᳫ⁐,ᳫḄ⚣᳛᝞Ḅ!ᳫ.ᑮ$Ḅᭆ᳛&')⚣᳛0.64.…ஹ……,………rr0.62+——+——+——,——,——+0.600.58…:…,……;…+0.56——J——I……:……J——I……+IIIIII0.54——-+……F——+——4……[……+0.52k---1——,——:——4……,——+wττττττO50010001500200025003000/8.015“+66—30=0,3a+56-2g=0,ᑣᑡ4567Ḅ&()A.;a>0,b>0<P0,6<0<P0<P32⚓/A59⚓

329.᝞஺஺ḄCDE5,FGE4Ḅ6HFIZ8CD5■KḄL0MᔠM.NᑖP&48ஹFAḄQGRL஺஺ST,ᑣ▢VWᑖḄ☢Y&'C."ᐔ-4ED.F.G66410.᝞ᙠ[ABC\ᱏZ/C8=90஺4C=4,BC=3,<ஹD,EᑖPᙠ3C,F^,_`஺E,a[BOEb஺Ecᢚ,eT8fᙠTKḄgh_`NfijFI8EED&kI,ᑣ4lḄGḄᨬnoE'pqL53A.y/5B.yJ3C.—D.2>nᔁ's⌱⌱puᔁvwᑖ11.ᑖxyz+x3-2x2+x=.12.ᐵ|xḄ}ᨵz+2x+31ḄxE.13.᝞01jFI048C,஺஺ាC!TLF8ᑗQG40S஺஺|>33⚓/A59⚓

33TO,_`8஺ᑣNZO8ḄᦪEMlII__ffj14.᝞.1=L᜛='0,0஻pḄ᝞ᡠT4,3ᙠ=ḄXXXV]^TC,஺ᙠy=—Ḅ^R3D_L4c|TP,R80஻y.01T8ḄXᙶ᪗E4+1;஻?=4,஻=20,KE8஺Tᑨ¤jFI48C஺ḄI¥E.'2;jFI/8C஺E6=I<ᵨ஻§Ḅᦪ¨ᐵ©E.uᔁvwᑖªஹx«⚪3215.xḄ=®ªḄx.x16.“!°±²"±⚪´ᡃ¶·¸¹º»jᐗ᳝␺¿À⚪᝞+ÁÂÁᓝÁᦻÅÆ°Ç°ÈᓟÆ°ÁᓝᦻÇ°ÊjᦻÅ˱ÆÇ°ÌÍαᔜÐÌÅÍa⚪ÑÒᡂ$ÔᦻᑁÖ᝞+ÁÂÁᓝÁᦻÅÈÆ°×Ç°ᐳᓟ01ᓝᦻÅÙÈÁÆ°jᦻÅÙÈÊÇ°ÚÛÆ°ஹÇ°ᔜÈÜÝÍÈÆ°×Ç°ᔜ◤⌕ÜÝᦻÅÍ17.᝞ᙠᵫFGE1ᓫgGḄn6=IâᡂḄ8x14ãä01Ḅ⚔TæᙠäT^çR/LãRMᔠ.>34⚓/A59⚓

34(1)èçRIEéêA/18Cᐵ|/éḄ[44G;ফaA/BCᔣíî10ᓫgGᔣ^î1ᓫgGwᑮLGê[4ᕒ஺2,ব_`LñB4,ç`ᑨ¤jFI4482GḄI¥.18.ᡃòó_`kIFTwᑮḄᡠᨵkIéô᝞জᡠö÷ḄᱯùIúᯠü᪵Ḅö÷ᐳᨵ5ᱯùI.aþö÷}ᨵ¤ÿᑴḄ⚔ᔠ᪵ᑮ1ஹ2ஹ3…132প!"#$ᡂ&⊤:#)Ḅᦪᱯ,#Ḅᦪ115229331344—-35⚓/059⚓

35234ᙠ஻7ᱯ,#Ḅᦪ8;:ᵨ<஻Ḅ=>⊤?@2ABḄCD84,ᑁFាH860஺J207ᡠᨵᱯ,#Ḅ☢NOP.19.RᓝT7U8VWUX7YZ[B\ḄU]^_ᙠ`abPcabdeVᨵᐵZ[B\gh.ij`ஹcab7ᔜlmno20)UXḄghᡂp:qᑖ50ᑖ30ᑖs30ᑖ!"8ᔠtu40ᑖs40ᑖ!"8@ve᦮ᳮஹyzPᑖ᪆|}V&☢Ḅ~ᑖ.`ab20)UXḄghᡂp8439,50,39,50,49,30,30,49,49,49,43,43,43,37,37,37,43,43,37,25cab20)UXḄghᡂpᩩ#᝞ᡠ?4abnoḄUXḄghᡂpḄᙳᦪஹᦪஹ7ᦪ᝞⊤ᡠ?4abᙳᦪᦪ7ᦪ`41.1a43c39.544bᦪ1n2530313241444650ᡂp᪷"☢ḄᡠᨵW&ᑡ⚪:প⊤7a=8b=.᪷᪵ᦪ8`ஹcab7abUXZ[B\Hᳮᵫ.:ᑏ}ᩩᳮᵫᓽ@2B7U`abᨵ540)UXcabᨵ530)UX¡¢V£¤gh¥¦§¨¡¢£¤ghᡂpᔠtḄUXᦪ©ᔲ«¦100020.2022a2ᨴᓅ®oᡂ¯ᙢ±vᡃYḄ³´µ¶·¸¹º✌¼³´ᜧ¾¿|ᐰᳫ-36⚓/059⚓

36ᶇ&ÃÄᓺÆ.ÇÈ8V±vȳ´µ¶Ḅ◤⌕Ë⌼✌¼ᜧ¾¿;¿ᨵÎ⍝4BE,DE,Ð஺sÑÒ8c᪀ᡂ᝞ÐÔÕgX஺ḄÖF837஺ÑÒ8cḄÖF860஺DE//AC,஺ᑮ/CḄ×Ø஺&=3ÙÎ⍝஺E=10ÙÎ⍝BE=60ÙஹᚁÛi=JÎ⍝4ᑮÑÒ8CÜCḄÝ×Ø.(ßàᑮ0.1Ù)(¡ὃᦪ4sin37°»0.60,cos37°«0.80,tan37°a0.75,671.730*1.41.)21.᝞஺஺ã!ä/8CḄCZC8åæḄ᜜èᙊN/CB=54஺᝞ᡠ?஺8஺஺"8ᐵê4cḄF8ëì8c"ḄOFí4cêNBDIACJM<ஹ.(1)JNO3CḄîᦪuMN(2)ïð8ì8cḄ7Jñ.ON22.ABòᱥô7y=஺/+᱐-3øùíê4(-3,0),8(1,0),åôy=6-3íòᱥôê/ஹC.পJòᱥôḄ⊤ú=u(2)ïòᱥôḄíᙠxù"û⚔ᐵêxùᑣòᱥô8“òᱥô",ᱥLᱥ4Ḅ᪆;,বᙠ(2)ḄᩩMxḄᱥ”MV_LxN,□Ḅᙶ᪗#$ieW=MN-WN,%Ḅ&.23.᝞)1,ᙠ*+488,-.3஺018஺0E0஻8C,஺437⚓/759⚓

37DELBD8EFE.6162-ADDFপ;<=ABDE(2)᝞)2,ᑖ?-.ZF,EC,@AB8G,FGC8c8/,-.8G,E£>E=OCF,জ;

38Kᫀ:1.Bூᑖ᪆௃P.ᑭᵨSTU᪷ḄWᓽY.ூZ௃<10ḄSTU᪷$ᦑ⌱

39ᦑ⌱

40.ZEDC=ZADG=105°,.ZCDF=ZEDC-ZFDE=W5°-90°=15°,ᦑ⌱

41•.•ᐳᨵ20éÑYzḄêëᐸ,ìᑮÕÙḄêëᦪᨵ6éêëìᑮÕÙḄᭆ᳛#<0=ᔁ=᠘ᦑC.ᦑ⌱00^p-q=-~—<0,6ᓽᨵp?@ᑖAB஺஺CDGஹP,?@C5ஹBA,ᑖAB஺஺CD”ஹ஺HIஹNAஹABஹ8NLᡂḄ☢OPERBGஹBHஹᦪLᡂḄ☢OPS?;BGஹBMஹVLᡂḄ☢OPᐸRANஹAPஹXLᡂḄ☢OP⎃RAQ,APஹXLᡂḄ☢OPZ᪷\]^_`aᙊḄcdឋf*S=S,=S=S,᪷\gh=Si8G-S“B஺j,ᓽf.245ூk,௃;<஺4ஹOB,>?@ᑖAB0஺CDGஹP,?@CBஹBA,ᑖAB0஺CDஹQ,᝞op42⚓/t59⚓

42nWXஹNAஹABஹ8NLᡂḄ☢OPERBGஹBHஹVLᡂḄ☢OPS?RBGஹBMஹVLᡂḄ☢OPMRANஹAPஹ᪗LᡂḄ☢OPᐸR40ஹAPஹwLᡂḄ☢OPx᪷\]^_`aᙊḄcdឋf*S=S=S=S,2345S▢h=S[+S?+5,=S+S+S=S-S^BO>t24mopG᪷\⚪ᩩ|ᨵ஺}=OG=5,4B=4,:ᙠ]^_`/BCOEf■f*AO=BO,408=60°,AS^=6°X7rX52=^",&4BO/_`OPGM`஺PG63606AB=AO=BO=4,H_406BO_ḄP/?,ᑣᨵ஻=CMxsinZAOB=0Axsin60°=2JJ,S^AOB=^x4x2->/3=4-7325S▢h=—7T-4y/3,oᦑ⌱c.⚪ὃ"#ᡧ`☢OḄஹ]^_`Ḅឋஹ,`*+]Ḅ+Ao`/,⚪Ḅᐵ..10.Ap43⚓/t59⚓

43ூᑖ᪆௃;<8}BEDCD0,WEFa4cIJ

44EF=2.5,■:EF//BC,.AAGEsAACB,...EG_^G_AE_L/4GE=ZACB=90",===BCACAB2AEG=-BC=1.5,AG=-AC=2,22.GF=EF-EG=1,,ZAGF=ZAGE=9O",***AF=J/G?+G}2=³+F=6.ᦑ⌱A⚪´⌕ὃ"#(¶`Ḅᑨ®aឋ`Ḅឋ`Ḅឋ¸¹º»(¶`Ḅᑨ®aឋ`Ḅឋ`Ḅឋ¼ᑮD}ᙠN/BCḄᑖ¡¢/,⚪Ḅᐵ..11.x(x-l)½.ூᑖ᪆௃¾¿ÀÁ⚗&ᑖ,Ã&ḄÄÅÆ/✌ᐜÉᔜ⚗ᨵËᨵÌÃ&ÍᨵÌÃ&ᑣÎÏÐÑ4ᩭÓÔ¨ÕÖ/ᔲ/ØᐰÚ&ᡈÚÜ&Í/Ýὃ⇋ᵨÌ&ßàáᑖ,Ã&.Ãâ<ÐÑÌÃ&X¨ãᵨØᐰÚÌ&àáᑖ,ᓽfூ௃X3-2X2+X=X(X2-2X+1)=X(X-1)2ᦑ-ᫀPx(x-l)2ὃ᪶*+DÃ&ᑖ,.12.x>2tttt2èé⚗ᯠÔËᨵ&ë_è◀í-2,ᓽf4Ëᨵ&Ḅ,î.ூk,௃-2x+3>-lp45⚓/t59⚓

45,æ⚗ᔠ>èé⚗-2x2-4,Úïë_è◀í-2x<2.ᦑx42.⚪´⌕ὃ"#,Ëᨵ&,⚪Ḅᐵ./¸¹º»,Ëᨵ&ḄðÅÆñòËᨵ&ë_è◀íᡈóíÀôᦪËᨵõÚᔣ÷øᦋú.45"13.22.5°##—2ூᑖ᪆௃;<08,©ªONB/Ὺ`ᓽfü-.ூk,௃;<஺8,᝞o±_`OABC/ý±_`,.AB=OC,.AB=OC=OB,/0஺Ḅᑗ/.OBLAB,ᓽNO8/=90°,/Ὺ`ZA=ZAOB=45°,'OD=OB,.ZD=ZOBD,:ZD+ZOBD=ZAOB=45",.ZD=ZOBD=22.5°,ᦑ22.5°.p46⚓/t59⚓

46⚪ὃ"#ᑗḄឋஹý±_`ḄឋஹῪ`Ḅᑨ®°ឋ*+©ª048/Ὺ`/,-⚪Ḅᐵ..14.`m+n=32ூᑖ᪆௃(1)ᐜ8,஺ᙶ᪗ᑭᵨᦪᓽC,ᙶ᪗PC,ᓽ(2)ᐜ8(4,#),஺(4,1)PḄᙶ᪗4Cᙶ᪗ᵨᓽ44.ூ*+௃+-(1)•.•8Ḅ/ᙶ᪗04,.".2x=45y=—=\,y=—=5,xx.•.3(4,1),஺(4,5),4489:),ᑣC(5a,:),aa,:PhBD=.PA=PC,>..♦.Ḅ/ᙶ᪗04,.a+5a.4..-----=4,+-a--,234(§,3),C(£,3),.•.P(4,3),.PB=PD=2,...BCDN8CDGHIBCD'BDLAC,BCDGJDᦑJD(2)•.•BCD48C஺0LMD.BD=AC,N47⚓/R59⚓

472x=45y=—,y=—,44••54,-,஺T4,,44P4,UVO8mW+஻]C8஻W+஻V•:AC=BD,,8஻8wnm••=im+஻W+஻44\/w+஻=32.ᦑm+n=32[⚪]⌕ὃ`abcdeᦪfghḄᙶ᪗ᱯjHIBCDḄᑨJDḄᑨlឋnLMDḄឋnᑨoBCD/8CDGHIBCDG+p⚪Ḅᐵr.15.x=-6ூᑖ᪆௃ᐜsᑖuv0᦮xMyᯠ{+᦮xMyᜧḄ}I~ᓽ.ூ*+௃32---=:x-3x+-sᑖu-3x=2Tx-3V,s-3x=2x-6,⚗ᔠ⚗-x=-6,x=-6ᐭxx-3V--6x-6-3V=54H0,.x=-6GMyḄ+.p⚪]⌕ὃ`a+ᑖxMy+ᑖxMyḄ:G+⚪Ḅᐵr+ᑖxMy⌕I~.16.a657U◤⌕803ᦻa343U◤⌕196ᦻN48⚓/R59⚓

48ூᑖ᪆௃8aXUayUᐜUlUḄ᪷¡ᓝᦻalᐳ:ᓟUᑡMy¦xஹyḄ}lḄᦪ.ூ*+௃8axUayU,•ᓝ:ᦻUBᦻ¨U,114.U©ᦻUᦻ,•¡ᓝᦻalᐳ:ᓟU,x+y=1000'h14—x+—y=999[97x=657+:,=343,114A—x=803,-y=196,97«-a657U◤⌕803ᦻa343U◤⌕196ᦻ.p⚪ὃ`¬ᐗMy¦Ḅ®ᵨL¯°ᐵG+⚪ᐵr.17.প²+᪆ফ²+᪆বHIBCDூᑖ᪆௃᪷>µ¶lHḄឋn·fᓽ.(1)N49⚓/R59⚓

49(2)+-᝞fᡠº.বBCD4482G0HIBCD.p⚪ὃ`a¼f>µ¶lH+⚪ᐵrG>µ¶lHḄឋn.18.(1)17,4/7+1ফf20=ᡠᨵᱯjfDḄ☢ÀÁl02826ூᑖ᪆௃(1)᪷ÃN2UfDÄÅÆ:UÇpfDÈÉÆ4UJD+«ᓽ;(2)᪷fDḄᱯj+ËÌ⚪ᓽ.প+-ÍÎfDl⊤-f1=ḄᱯjfDḄUᦪ0-5=4+1,f2=ḄᱯjfDḄUᦪ0-9=4x2+l,f3=ḄᱯjfDḄUᦪ0-13=4x3+1,.•.f4=ḄᱯjfDḄUᦪ0-17=4x4+1,.•.f஻=ḄᱯjfDḄUᦪ0-4/7+1.ᦑ17,4«+1(2)᝞fÒA¼4>_L8C×஺᪷⚪ØÇpfḄCÙ04,:UᑁÛាÝ060஺ᓽJDN8CEḄCÙ04,:UᑁÛាÝ060஺/.AB=BC=4,NABC=60°,...ᙠ=AD=AB^mAABC=4xsin60஺=2-SJD48co=BC*AD=4x26=,¬ᜧḄᱯjfD☢À08G,çḄᱯjfD☢À0+4=26ᵫ(1)Øf20=ᐳᨵᱯjfD-4x20+1=81(U)ᐸ=ᨵ20UᜧḄᱯjfD61UçḄᱯjfD...f20=ᡠᨵᱯjfDḄ☢ÀÁl0-20x873+61x2-73=282/3.N50⚓/R59⚓

50f20=ᡠᨵᱯjfDḄ☢ÀÁl0282TLp⚪ὃ`H8êfᫀìíîÌ⚪ïðᑮJDḄ☢ÀêòlóÛeᦪ¯Øô.+⚪ḄᐵrGõÉö÷ìíḄM.19.(1)43,42.5¨øùõúûüØôýÝᳮᵫ-¨øùḄHᙳᡂḄ.(2)ᡂᔠḄᦪᨵ1000,ᳮᵫ᪆ூᑖ᪆௃(1)᪷!"ᦪ#$ᦪḄ%&'(a,bḄ)*+,-ᙳᦪḄ/0ᑖ᪆*ᓽ'%3(2)ᑖ5%678ᔠḄᦪ*ᓽ'%.(1)9᪷⚪;9<=20>Ḅᡂ᦮ᳮ᝞A⊤9ᡂ25303739434950ᦪ1242542=20>ḄᡂḄ!"ᦪC43,ᓽa=433<20>Ḅᡂᢥ,Eᑮᜧ᣸ᑡ"J10"*J11"Ḅᦪᑖ5C41,44,=KLMNOPQR*ᳮᵫ᝞A9=Ḅ-ᙳᡂḄ.ফ9ᡂᔠḄᦪᨵ1000,ᳮᵫ᝞A9ᡂᔠḄᦪC20-120-2540x-------+530x--------=9902020••ᡂᔠḄᦪᨵ1000.J51⚓/W59⚓

51Y⚪Z⌕ὃ]^%!"ᦪ*$ᦪ*ᵨ᪵YabWc*de⚪;*fe,gbh#gb⊤!ijklm⚪Ḅᐵo.20.82.4pூᑖ᪆௃BstBNLACsN,uvDEwBNsM,ᐜydz{|DFNMm}|*ᓽMN=DF=3,DM=FN,᪷BEḄᚁC1:1,bcBM=EM,ᑖ5ᙠBEA/ஹRt/\BNCஹZUD!//|%(EMஹNCஹAF,ᓽZC'%.ூ௃8st8N_L/CsN,klDEIBNJBN:ᙠRt/\BNCo,NC=---------,tanZC.NC=4=91=1OGptanZCtan600J52⚓/W59⚓

52:ᙠᜐ!*AF=---------,tanZ.A.AF=-DF=---=4,tanZJtan37AAC=AF+FN+NC=^+10+3072+10«+6=14+30+10#+*3•NC=14+30+10x6+6B82.4p*ᓽ⍝AsᑮBCCsḄ-C82.4p.Y⚪ὃ]^//|Ḅᵨ*eᳮᚁmY⚪Ḅᐵo.21.136°3ᔳூᑖ᪆௃1ᑭᵨḄឋyd8O_LZC,ᡠ¡NO8c¢44cB£¤*ᓽ'%6/஺3C32ᑭᵨ¦§ᡠḄᙊᕜ/¦ᙊª/Ḅ«¬#/|ᑁ/#C180஺*%6NBOFஹZOBMMN1Ḅ0ᦪ®ydᐸ°¦*+᪷yd,±(ᑮOM=NM,ᓽ'%6᱐³´.প,s8ஹs஺ᐵZC*.BDA.AC,•NDBC+NACB=90஺,•:N4CB=54°,NO8c=90°-54°=36°,ᦑNOBCḄ0ᦪC36஺.2¸¹OF,ºsmRḄ!s*NBOF=/COF=2/BDF,♦OC=OB,.,/஺8஺=/஺஺8=54஺*¼ZOBM=ZOBC-ZZ^C=54O-36O=18°,N8OC=180°-2x54°=72°,:"BOF=WNBOC=3x72°=36°,J53⚓/W59⚓

53•NBDF=-Z.BOF=-x36°=18°822/./BDF=/OBM,••s8ஹs஺ᐵ4C*:DM=BM,••ᙠBOM#QMW!*AOBM=4NDM

54(1)¹ᵨÌÆÃᦪ&%ᓽ'3(2)Î6ÏᱥÁÑḄ⚔sᙶ᪗*ᵨÌÆÃᦪ&%ᓽ'9(3)ᵨÖḄ×Ø⊤Ù6MNஹONḄv0*ᯠÞᑖßàá"*Ḅj)ä*ᑭᵨ³åᦪ%ᨬ)ᓽ'.(1):ᵫ⚪;O9+4,ᓽᱥḄ᪆y=-/-2x+3.বᵫ⚪34M6x789Ḅᱥ8Ḅ:.Mm—m2—2m+3>N(;0),MN=-nr-*+3,<-3<*40>ON=-m,,IV=MN—2ON=\_-m2-2m+3-2(-„?)JᓽW=|^-w2-2m+3-2(-w)JW=-m2-2m+3+2m=-nt2+3a<0...ᱥDḄEFᔣHIᦪᨵL<*=0>%ᨵL3.N55⚓/Q59⚓

55ᓽW=[-/-2/H+3-2]W=-m2-2m+3-2m=-V”X+2Y?+7a<0.♦.ᱥ\ḄEFᔣHIᦪᨵL]8ᡠ_<஻=0>\ᨵLᓽ=0,%=3.`⚪ὃbcdefᦪghiIᦪḄ᪆ஹᑭᵨIᦪmnoᐸឋrhᨬLt4uv`⚪Ḅᐵxy6ᑭᵨᦪzḄ{|}~Ḅ.23.প᪆an(2)জ᪆ঝூᑖ᪆௃N56⚓/Q59⚓

56(1)᪷zḄឋrᚖḄeoḄឋr(/BOSAQEF,ᑣk=DFDE((2)ᵫ(1)4—,AB=CD,ᵫ஺E=OC,(04s^ocE,ᑣABDEZDAF=ZDFA=ZDCE=ZDEC,ᵫD஺IIBC,brND4F=NC/G,ZC/G+ZGCB=90°,4Gᙠz/BCDḄ᜜©ᙊ8᪷«¬ᡠᙊᕜ¯;t4NGBO=/O/G,(NGBF=NGFB,ᵫt¯t°3G=PG.ঝᵫ²³eᳮh3஺=10,ᑣ8=4,ᵫ/O஻8C,brNBIF=NDAF=NDFA=NBF1,BI=BF=4,ᙠR/A/B/¶ᵫ²³eᳮh_____RFr)p46io/

57.ADDF•ÆÇ’:AD=DF,.ZDAF=ZDFA,,/NADC=NFDE=9஺஺,./ADF=/CDE,:.ADAFSADCE,.NDAF=NDE4=NDCE=NDEC,*ADIIBC,6/DAF=NCIG,'NDCE+NGCB=90஺,NC7G+NGC8=90஺JZJGC=90°,ÉNZOC=90°,ZJBC=90°,:.GᙠzABCDḄ᜜©ᙊ8:/GBD:/DAG,NAFDwNGFB,:NGBFw/GFB,.BG=FG,@VJB=8,4D=6,•*,BD=yjAB2+AD2=yjs2+62=1°.DF=DA=6f6BF=4,♦:ADHBC,ABIF=ZDAF=ZDFA=ZBF1,JBI=BF=4,ᙠRl"B/o,VJB=8,BI=4,6AI=&2+42=4v,■:ADIIBC,:.ABIFSADAF,.BFDF46HnIFAF4x-AFAFN58⚓/Q59⚓

58(Ë=5,5•,GᙠzḄ᜜©ᙊ8,:/BGA=/BDA,y•/GFB=/DFA,:.AGBFS^DAF,GF4ᗞ=ᗞ,ᓽ¹=Í,DFAF5(GF=26,'FE//BC//AD,:.gGFPSRGAD,FP275.FPGFᓽ6/—12.75'•⁰ÆÐ2V5+530(Òᗞ,30."ḄLÓ.`⚪6;ÔÕ¯zḄ]ᔠ⚪ὃbczḄឋr;ÔÕ¯zḄᑨeØឋrtῪÕ¯zḄᑨeØឋr᜜©ᙊt4u⚪ᐵx6ÚÛᑨÜ;ÔÕ¯z.N59⚓/Q59⚓

当前文档最多预览五页,下载文档查看全文

此文档下载收益归作者所有

当前文档最多预览五页,下载文档查看全文
温馨提示:
1. 部分包含数学公式或PPT动画的文件,查看预览时可能会显示错乱或异常,文件下载后无此问题,请放心下载。
2. 本文档由用户上传,版权归属用户,天天文库负责整理代发布。如果您对本文档版权有争议请及时联系客服。
3. 下载前请仔细阅读文档内容,确认文档内容符合您的需求后进行下载,若出现内容与标题不符可向本站投诉处理。
4. 下载文档时可能由于网络波动等原因无法下载或下载错误,付费完成后未能成功下载的用户请联系客服处理。
大家都在看
近期热门
关闭