2022-2023学年内蒙古区域中考数学专项提升仿真模拟试题(二模三模)含解析

2022-2023学年内蒙古区域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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15Ḅpgᑖ3.16.ᙠ¯°±l²⌱³´$¯°ḄµᦪᑖjL6,9,8,8,9,ᑣ¸⌱³´$¯°µᦪḄb¹L.ூᫀ௃1.21*ூ23௃ᑖ᪆6ᐜ/0ºᙳᦪmᵨb¹wgS2=-[(XI-X)2+(X2-X)2+…+(Xn-x)2],nÂᐭᦪ"/0ᓽ.._123636´$¯°ḄºᙳᡂÄLx=g(6+9+8+8+9)=8,b¹S2='[(6-8)2+(9-8)2+(8-8)2+(8-8)2+(9-8)2]=1.2.ᦑᫀL1.2._1Q£6R⚪ὃV¥b¹ḄvÇ.*ÈᙢÊnËᦪ"X”X2,…X”ḄºᙳᦪLÍ,ᑣb¹S2=—n[(Xt-x)2+(X2-X)2+…+(x-x)2],ÐÑ᧜¥*Óᦪ"ḄÔÕᜧÖb¹×ᜧÔÕឋ×nᜧÑXØᡂÙ.17.᝞ÛAlJ_xFQP,&ÑÞ%ᦪ(x>0)aÍ=k(x>0)ḄᑖjàXXQA,B,áâOA,0B,ã5aOABḄ☢æL2,ᑣç*1<2=________.ூ23௃é⚪ᑖ᪆6•ÑÞ%ᦪ(x>0)a%=§(x>0)Ḅᙳᙠ▲ᑁ,.k>0,k>0.]2…4.1,1,AP_LxF••SAOAP=—îSAOBP=—k?,22**•SAOAB=SAOAP_SAOBP="ð—ñò=2,16⚓/61⚓

1636ð*42=4.ᦑᫀL4.18.ᵯ«ôõö÷ø᝞ᡠḄ743C,AB=AC=BC=5.᝞ùôõBúNᙠ3cüḄýoᜐ8Po=2.஺ᑮ/CḄPi1ᜐCPCRPiᑮN8Ḅ22ᜐAP=API!PiᑮBCḄ33ᜐ8P3=28P2…ᢥ᯿&'(ᑣ*+,-஻/Pn஻/1᦮ᦪᑣ23656஺1789Ḅ:;/.ூ1=>ᫀ௃3ூAB௃•••DABC/G!HIJ/5,᪷NO(PQR•,.PoPi=3,PIP=2,P2P3=3,P3P4=2,…2TU(PVWX᪗/᜻ᦪ[:;/3,WX᪗/Ꮤᦪ[:;/2,2017^᜻ᦪ:,P20165P201789Ḅ:;^3.ᦑ>ᫀ/3.ὃbḄ^G!HIḄឋd᪷N⚪fghP0P1,P1P2,P2P3,P3P4Ḅijh(P^B>k⚪Ḅᐵm.!ஹB>⚪oᜧ⚪ᐳ9rs⚪ᐳ78ᑖ.B>uᑏhᦻxyzஹ{z|}ᡈ.19.V(7T-5)°x(-)'+tan450-22x(-1)2oi«3ூ1=>ᫀ௃0ூAB௃ᑖ᪆V᪷NᗩḄឋd᦮ᢣᦪḄឋdH!HᦪiḄfᓽQ.ABVᐔ-5°x—'+tan45°-22x-12018317⚓/61⚓

17=1x3+1-4x1=3+1-4=0.Vk⚪⌕ὃb¡¢ᦪḄ£ᔠ¥¦§¨ᮣªuᵨ¬Ḅឋd᦮ᢣᦪḄឋd,H!HᦪiḄf^ᐵm®¯°ᓫḄ²ὃ³ὃ⚪.x+l>0জ20.B´ᨵG¶·V*…¨¸B¹ᙠᦪ»&⊤½hᩭ.x+2>4x-l(2)______Iτ111τττI>-3-2-1012345ூ1=>ᫀ௃-1-1ᵫঝÄVX<1...´ᨵG¶·ḄB¹/V-Iᫀ௃10cmூAB௃ᑖ᪆Vᐜ|ᙊì0íßàC0±AB,îABïDðßà/r,ÄhADஹ0DḄJᙠRtAAOD²᪷NñòÜᳮghärᙊIÝ☢Ḅßà.ABVBV|OíOC_LABïD,îïC,ôõOB,VOC1AB18⚓/61⚓

18BD=yAB=yx16=8cmᵫ⚪fQRCD=4cm.,.ðßà/xcm,ᑣOD=(x-4)cmᙠRtz2\BOD²ᵫñòÜᳮÄVOD2+BD2=OB2(x-4)2+82=x2BÄVx=10.>VärᙊIÝ☢Ḅßà/10cm.Vk⚪ὃb¡ᚖ÷ÜᳮøñòÜᳮᐵm^᪷N⚪fùhâIÅ᪷NñòÜᳮúûgB.22.üRV᝞âᙠýABCD²BD^þHÿAE_LBDE,CF_LBDF.BF=DEூᫀ௃᪆.ூᑖ᪆௃ᵫAAS4ABEZXCDF,BE=DF,ᓽ.ூ௃•••!ABCD"#$!.,.AB=CD.AB஻CD,/.ZABE=ZCDF.XVAE1BD,CF1BD,.".ZAEB=ZCFD=90°,NABE=NCDFᙠAABE(4CDF)■ZAEB=ZCFD,AB=CD/.*ABE^ACDF(AAS),+.BE=DF,.♦.BE+EF=DF+EF,,19⚓//61⚓

19+.BF=DE.5⚪ὃ8#$!Ḅឋ;ஹᐰ>?!ḄᑨABឋ;ஹ#$CḄឋ;+DEFG#$!Ḅឋ;>?!ᐰ"⚪ḄᐵI.23.LḼ“OὶQ+”TUḄᑮᩭXYZ[ᡭ]^_`ᑮᜧbcdeᡭ]^_Ḅ/fᵨᵫhif(ὑTfkᡂᐸ)hifᢥxᐗ/qhrsὑTfᢥVᐗ/ᑖursv/fᵨwᨵy9ᐗᢥ9ᐗr{|.}ஹ}~ᵨeᡭ]^_$ᢥr{ᑣᐸᡭ]/fᵨஹ$hiᦪBᡭ]T᝞⊤Tvᑖu|hiᦪvqh|]fvᐗ|}8812}~121016v1|x,yḄ+v2|᝞}ᵨeᡭ]^_ᡭ]$11qhᵨ14ᑖu}Ḅᡭ]/fᵨூᫀ௃v1|x=l,g+v2|}Ḅᡭ]/fᵨ18ᐗ.ூᑖ᪆௃v1|᪷⊤¡ᑁ£ᑡᐵXஹ᜛Ḅ^ik§^ik.v2|᪷hiᦪ(Tᩭrs/fᵨ.[8x+8y=12ூ௃পᵫ⚪ª'■,,,[10x+12y=16x=111+y=—r2v2|}Ḅhiᦪ"11km,T14min.ᑣ/fᵨ"llx+14²11+7=18vᐗ|./fᵨ"18ᐗ.24.X´wᨵµḄ¶·)¸ᨵ¹ஹºY»⁐Ḅ}ᳫ¾¿ᳫ◀»⁐᜜ÂᐰÃᐸ)¹ᳫ2ᨵ1´ÄÅ)LÆ᥎X´ᳫ¾´ᳫ"ºᳫḄᭆ᳛v1|ÊËÌᑏ¶·)ºᳫḄ´ᦪ.v2|LÆ᥎X´ᳫÎÏЧᤅᒴÓLÆ᥎X´ᳫÔÕ᥎ᑮû⁐Ḅ}ᳫḄ,20⚓//61⚓

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211219ூ=>4ᫀ௃1@=A"N=2x—52FCḄᙶ᪗A,0ᡈA,0327.x22ூKL௃M⚪ᑖ᪆Q1ᵫFAḄᙶ᪗ᑭᵨᦪVFḄᙶ᪗ᱯXᓽZ[3a]"^_#3ᦪL᪆`ᵫabcᳮ#3OAḄ!^_#3FBḄᙶ᪗"ᵫFAஹBḄᙶ᪗ᑭᵨhciᦪjᓽZ[30ABḄL᪆`2kFCḄᙶ᪗m,0,m0ABnxoḄpFD,᪷stuvḄ☢-w`AABCḄ☢-.8,Z#3ᐵzmḄ{]|}ḄAᐗ"LᓽZ#3m]"^_#3FCḄᙶ᪗3kFEḄᙶ᪗1,FFḄᙶ᪗6,FMஹNᑖFEஹF,᪷sᦪL᪆`Ḅឋ3FEஹFஹMஹNḄᙶ᪗"᪷sEM஻FN,EM=FN,Z#3vEMNFv"᪷svḄ☢-w`[3vEMNFḄ☢-S,᪷sḄឋᓽZ#3G'C2ᜐᡠ*+Ḅ☢-=S.M⚪L᪆Q1;FA4,3ᙠᦪy=@ḄV,x•*.a=4x3=12,ᦪL᪆`;XVOA=742+32=5>OA=OB,FBᙠyo¡¢oV,.•.FB(0,-5).¦FA(4,3)ஹB(0,-5)§ᐭkx+b«,f3=4Z+bk=2#QU,L#Q-5=0b=-5.•.ᦪḄL᪆`y=2x-5.622⚓/:61⚓

222kFCḄᙶ᪗m,0,m0ABnxoḄpFD,᝞1ᡠ¯.1τ5**«SABC=7CD*(yA-yB)=7|m--|x[3-(-5)]=8,A2/2iQL#Qm=—.22iQᦑ±AABCḄ☢-.8²"FCḄᙶ᪗"0ᡈA"0.223kFEḄᙶ᪗1,FFḄᙶ᪗6,FMஹNᑖFEஹF,᝞2ᡠ¯.,12+my=—«x=l,ᑣy=12,x.E(1,12),³124mA«´=4,ᑣy=3,xF(4,3),VEM/7FN,EM=FN,•vEMNFv,623⚓/:61⚓

23.S=EMy-yp=3x12-3=27.EG'Cᜐᡠ*+Ḅ☢-=vEMNFḄ☢-.2ᦑ4ᫀ27.µᵨ¶ᦪVFḄᙶ᪗ᱯXஹhciᦪj[ᦪL᪆`ஹtuvḄ☢-vḄ☢-"L⚪Ḅᐵ·.Q1ᑭᵨhciᦪj[3ᦪL᪆`23ᐵzmḄ{]|}ḄAᐗ3[3vEMNFḄ☢-.¸⚪¹z«᫏⚪"»!¼ᨵ¾"L¿3²"ÀᝯḄÂÃḄ☢-w`[3C1'C2ᜐᡠ*+Ḅ☢-"Äᜐ⌕ÆÇᦪvḄÈ⌕ឋ.26.É⚪ÊËQ᝞1,ÌῪ4ABC«"AB=AC,ZBAC=120°,ÎAD_LBCzFD,ᑣDBeZBDBCḄ«F"ZBAD=yZBAC=60°,z.A-=----=732ABABÏᵨQ᝞2,4ABCÐ4ADEÑ.ÌῪtuv"/BAC=NDAE=120°,D,E,CtFᙠÒAᩩ0V"Ô1BD.1[ÕQAADB^AAEC2ÖAD=2,BD=3,רÙÚCDḄÛÜÝÞQ᝞3,ᙠßvABCD«"NABC=120°,ᙠNABCᑁÎáBM,ÎFCᐵzBMḄâFE,Ô1AEãÝpBMzFF,Ô1CE,CF.3ÕäQZ\CEF.Ìtuv4ÖAE=4,CE=1,[BFḄ.ூ=>4ᫀ௃1åL᪆2CD=2+33åL᪆42æூKL௃M⚪ᑖ᪆QÏᵨQ1᝞2«"ç⌕ÕäNDAB=/CAE,ᓽZ᪷sSASL¿624⚓/:61⚓

24É⚪(2)èéQCD=ὤAD+BD.ᵫADABê4EAC,ZëBD=CE,ᙠRtAADH«"DH=AD«cos300=—AD,ᵫAD=AE,AH±DE,ì3DH=HE,ᵫ2CD=DE+EC=2DH+BD=GAD+BD,ᓽZL¿É⚪ÛÜÝÞQ(3)᝞3«"ÎBH_LAEzH,Ô1BE.ᵫBC=BE=BD=BA,FE=FC,ì3AஹDஹEஹCFᐳᙊ"ì3NADC=NAEC=120஺"ì3NFEC=60஺"ì3AEFC.ÌtuvHF(4)ᵫAE=4,EC=EF=1,ì3AH=HE=2,FH=3,ᙠRtABHF«"ᵫZBFH=30°"Z#A=cos30°,BFᵫÄᓽZL¿É⚪.M⚪L᪆QÏᵨQ(1)ÕäQ᝞2,.,.ZDAB=ZCAE,ᙠADAEÐAEAC«"DA=EA,ZDAB=ZEAC,AB=AC,.'.ðDAB^AEAC,(2)èéQCD=VJAD+BD.ᳮᵫQ᝞2-1«"ÎAHI.CDzH..BD=CE,ᙠRtZkADH«"DH=ADcos30°=@AD,2QAD=AE,AHIDE,625⚓/:61⚓

25"DH=HE,CD=DE+EC=2DH+BD=73AD+BD=2æ+3.ÛÜÝÞQ(3)᝞3«"ÎBHJ_AEzH,Ô1BE.;vABCD.ßv"ZABC=120°,/.ðABD,ABDC.Ìtuv".BA=BD=BC,VE>CᐵzBMâ".BC=BE=BD=BA,FE=FC,.AஹDஹEஹCFᐳᙊ".*.ZADC=ZAEC=120°,ZFEC=60°,.•.ðEFC.Ìtuv"(4)VAE=4,EC=EF=1,"AH=HE=2,FH=3,ᙠRtABHF«"VZBFH=30°,/.-----=cos30°,BF4-=2V3ABF=T27.᝞1,ñëòᱥô(஺-0)A(6,0)ஹB(8,8)õF.(1)[òᱥḄL᪆`(2)0OBᔣömᓫ!÷"#ᑮḄ0nòᱥçᨵAwᐳFD,[ùḄ626⚓/:61⚓

26]FDḄᙶ᪗(3)᝞2,ÖFNᙠòᱥV"N0=N/8஺"ᑣᙠ(2)Ḅᩩúö"ᙠᙶ᪗☢ᑁᨵFP,[3ᡠᨵüýḄFPᙶ᪗(FPஹOஹþᑖnFM஺ஹ8).ூ=>4ᫀ௃পᱥḄ᪆)-3x(2)஺Ḅᙶ᪗(4,-4)(3)Ḅᙶ345453᪗;("<=)ᡈ(!?[)ூ௃⚪ᑖ᪆(1)ᑭᵨ#$%ᦪ'()*+ᦪ᪆,-./0ᫀᓽ3(2)✌ᐜ(/6OBḄ᪆y=x,,-;)*+ᦪ<+ᦪὶ>(/?ᓽ3(3)✌ᐜ(/6ABḄ᪆A,-ᵫAPiODs^NOB,./IPQDSANQBIA,-(/PiḄᙶ᪗AJᑭᵨKᢚMᣚḄឋP./QRḄᙶ᪗.⚪᪆(1).•ᱥaN+bx(஺,0)A(6,0)^B(8,8)[64a+86=8a=—;/]8^ᙶ᪗_ᐭ.AAaA.2,36஻+66=0,ஹ'[e=-3.••ᱥḄ᪆"2-3x.(2)g6OBḄ᪆hr,ᵫ8(8,8),.8=8%”.*1=1608Ḅ᪆A6OBᔣnopmqᓫstuvḄ᪆x-m,.".X-7M=yX2-3%,•••ᱥ]6wᨵRqyᐳA.,•I=16-2m=0,|27⚓/~61⚓

27.஻?=8XI=X=4,y=x2-3x=-4,2)஺Ḅᙶ᪗4,-43:6Ḅ᪆=x,/6,0,/ᐵ608Ḅ4Ḅᙶ᪗0,6,᪷ឋPᔠRឋP./N4BON/80,g648Ḅ᪆*<+6,8,8,.,.2+6=8,.k=-,24)6A'BḄ᪆y=y=^x+6,4•%NO=NABO,ZA'BO=ZABO,BNᔠAᓽNᙠ643,.,.gN஻AL+6,Nᙠᱥ-3xA42)—x+6=/-3஻A.n\=᝞=8ᨵᔠ⚪A422345NḄᙶ᪗-RA—.28᝞1,;ANO"xKᢚA.ᑮIMO81,345ᑣM(—-,--),B\(8,-8),28A஺ஹDஹ8ᙠ6-x.*/\P\OD^/\NOB,XNOB/AN\OB\,%4P\0DS/\N\0B\,|28⚓/~61⚓

28OPOP_1X••¡R+—345£PiḄᙶ᪗R¤AR77.416453;IOPQ67KᢚA3.QRq§¨ᩩªḄ2■1AA345453¬ᡠ®APḄᙶ᪗ᡈ.416164°ᵨ¤KᢚMᣚḄឋP<±#$%ᦪ'(+ᦪ)*+ᦪ᪆<±²³´µḄᑨ$]ឋP·¸¹AᑭᵨKᢚMᣚḄឋP./ºᐵ%⚪ᐵ».2022-2023ᑁℳὃᦪ⚗ᓣ⚪BRஹ⌱R⌱|29⚓/~61⚓

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48Fᦪ(3)ᑖ¥ᵨA,B,C⊤§3TUḄD⊤§1VᳫḄ;B᪛@zMGHABCD/N/1\/NBCDACDABDABC•••ᐳᨵ12-Ḅ/ajTUஹ/ajVᳫḄḄᨵ6/ajTUஹ/ajVᳫḄḄᭆ᳛M—122ª⚪ὃ¬ᑡ⊤®ᡈ᪛@®iᭆ᳛:°ᩩ²>?@ᡧ²>?@.ᵨᑮḄµ¶·Mᭆ᳛=ᡠiᦪHᦪ¸.20.᝞@¹µºᦪy=&(x>0)Ḅ@%·AஹB,·BḄᙶ᪗(2,2).¾·A¿AC_LxXÀᚖVC,¾·B¿BDJ_yÀᚖVD,ACBDÂ÷F.ºᦪÄax+bḄ@%·AஹD,xÀḄÅÆÀÂ÷E.E49⚓/H61⚓

493(1)AC=-OD,iaஹbḄÇQ2(2)BC஻AE,iBCḄd.3ூgopᫀ௃(1)a=—,b=2Q(2)BC=V5-4ூ௃É⚪ᑖ᪆M(1)✌ᐜᑭᵨÊ˺ᦪ@%Ì·Ḅᙶ᪗ឋÎzZkḄÇzZAஹD·ᙶ᪗*iZa,bḄÇQ44--2(2)ÏA·Ḅᙶ᪗M(m,—),ᑣC·Ḅᙶ᪗M(m,0),zZtanNADF=_\m-z;=-----------DFm_4tanNAEC=0£_Ò*iZmḄÇᓽzZpᫀ.EC-2É⚪᪆M(1);·B(2,2)ᙠºᦪy="(x>0)Ḅ@%ÌX4k=4,ᑣy=—,XBD_LyÀ,D·Ḅᙶ᪗M(0,2),OD=2,3AC_LxÀAC=-OD,AAC=3,ᓽA·ḄÓᙶ᪗M3,244,·AᙠÔ/Ḅ@%ÌJA·Ḅᙶ᪗M(/3),x3••ºᦪy=ax+bḄ@%·AஹD,4,C—a+b=3h=23zMa=—,b=2Q44(2)ÏA·Ḅᙶ᪗M(m,—),ᑣC·Ḅᙶ᪗M(m,0),mVBD/7CE,+BC஻DE,Õ²BCEDÖÕ²ACE=BD=2,E50⚓/H61⚓

50VBD/7CE,.\ZADF=ZAEC,:.ᙠRtAAFD.tanZADF=AF__E___,DFm4-ᙠRtZXACE.tanNAEC=4£=ÒEE-T.×2Am=m_,m2zMm=l,C·Ḅᙶ᪗M!1,0,ᑣBC=«.ὃ·MÊ˺ᦪºᦪḄ·⚪.21.᝞@¾gزN8CD⚔·8,CḄ஺஺4DÛᑗ÷P,48,CDᑖ¥ÛÂ÷EஹF,ÝÞEF.1ißMPFFᑖNBFD.32tan/FBC=—,DF=y[s>iEFḄd.ூgopᫀ௃!1t᪆Q!2475.ூᑖ᪆௃!1᪷3ᑗàḄឋÎzᑮ஺ÔᵫÕ²Z8C஺ḄgزzᑮC0LN஺áZOP//CD,᪷3ÖàḄឋÎzᑮ/PFZANOPF,ᵫῪãä²ḄឋÎzᑮNOPF=NOFP,᪷3äÖᑖàḄåæᓽzᑮçQ2ᵫNC=90஺zᑮ8Ôj஺஺Ḅèé᪷3ᙊᕜäåᳮzᑮN8EG90஺áZÕ²3CFEjì²᪷3ì²ḄឋÎzᑮEQ8C,BE=CF,íáZÕ²Ô஻jì²`*z·j"Ḅ.·QÏCÔ=3x,ᑣ8c=4x,ᵫïðåᳮ°ᙊḄឋÎz8EஹOPḄdᵫ.ñàåᳮz0”,LMN☢OH=OP-PH,ᵫªzᐵÃxḄØóØóᓽÃjzᑮç.E51⚓/H61⚓

51ூ௃(1)ÝÞOP,BF,PF,POP+EF/01ஹH,%஺0+ADÛᑗ÷P,.OPQAD,;Õ²Z5CDḄgزC.CDLAD,.OP//CD,./PFD=/OPF,♦OP=OF,.ZOPF=ZOFPf./OFP=/PFD,:.PFFᑖ/BFD%(2)ÝÞER*.*ZC=90°,8/j஺஺Ḅèé.,/BEF=90஺,•Õ²8cgjì²:.EF=BC,BNCF,ôᳮzÕ²PDFHjì²:.PH=DF=RFH=PDAB//OP//CD,BO=FO,.FOPD,..------=-------=I,BOAP.PD=AP,.PD=^AD=^CD,.FH=-EF2ᓽ஻jEFḄ.·OH/BE,23ÏCF=3x,ᑣᵫtan/ÔBC=/zMBC=4x,4ᵫïðåᳮzMBF=5x,E52⚓/H61⚓

52513-BE=3x,OP=—x,OH=—BE=—xf222õ/Ø☢஺"×஺᜛/Ô஻×2ø/ù2,5/T3/X-y/5=-X,22•'•X=y/5,:.EF=BC=4■ú⚪jᙊḄûᔠὃ¬ᑗàḄឋÎQgزḄឋÎQᙊᕜäåᳮQãä².ñàåᳮQïðåᳮµ¶ýþÿᐵ.22.✂ἠ20ᐗ/ᨣᎷ├!"#ᓱ%জ'ᓱ(600ᐗ/*+,ᓱ-ᨵ/ᦈ1.ঝ3ᓱ(150ᐗ/*+,ᓱ6ᦈ10ᐗ.ᨣᎷἠ78(!"#ᓱ9▲ᨣᎷ;ᵨ-ᨵ▲+ᦪ.>x+@ᡠ◤C1ᵨyᐗ.(1)ᑖHᑏ⌱K3ᓱஹἠM1@yNxOPḄRᦪᐵSTU(2)ᙠWXᙶ᪗S[\]!M1^T_`ḄRᦪab᝞aᡠdefgAஹBஹCḄᙶ᪗;(3)e᪷nRᦪabopᑏ⌱Kq!M1^Trᔠt.ூ7vwᫀ௃(1)3ᓱM1%y=10x+150,M1%y=20xU(2)A(0,150),B(15,300),~53⚓/C61⚓

53C(45,600)U(3)wᫀ᪆.ூ௃⚪ᑖ᪆%(1)᪷n3ᓱ(150ᐗ/*+,ᓱ6ᦈ10ᐗ✂ἠ20ᐗ/>x+@ᑖHᡠ◤C1ᵨyᐗNxḄᐵSTᓽU(2)ᑭᵨRᦪgᙶ᪗fᑖHᓽU(3)ᑭᵨ(2)ḄgḄᙶ᪗Rᦪabwᫀ.%(1)ᵫ⚪%3ᓱM1%y=10x+150,M1%y=20xU(2)ᵫ⚪%10x+150=20x,%x=15,ᑣy=300,ᦑB(15,300),y=10x+150,x=0@y=150,ᦑA(0,150),y=10x+150=600,%x=45,ᑣy=600,ᦑC(45,600)U(3)᝞aᡠd%ᵫA,B,CḄᙶ᪗%045@'ᓱM1r.ூg௃⚪⌕ὃRᦪḄ`ᵨ᪷nᦪḄ¡¢¤⚪ᐵ.23.᝞a᪥ᦟ§¨ABḄ©☢ᨵX«¬ᱥCD,ᐝ¯Nᙢ☢Ḅᜳ²22஺@ᦟ§¨ᙠ«¬ᱥḄᜋµᶇ·¸2mḄ¹ºCEU»ᐝ¯Nᙢ☢Ḅᜳ²45஺@ᦟ§¨⚔Aᙠᙢ☢µḄ¹ºFNᜋ²Cᨵ13mḄ½¾(BஹFஹCᙠXᩩo¯µ).(2)§᪥⌕ᙠAஹEOPᢞXÁÂeÃfAஹEOPḄ½¾(ÄÅÆᶇ᦮ᦪ).~54⚓/C61⚓

543152(Èὃᦪn%sin220H-cos220=—,tan22°^-)8165ூ7vwᫀ௃É112m227mூᑖ᪆௃É1✌ᐜ᪀⌼o²]²4AEM,ᑭᵨtan22°=Î"fᓽ.ME2ᑭᵨRtAAME[COS220="ÐfAEᓽ.AEூ௃%É1ÑgEÒEM_LAB,ᚖÔM.>ABx.ᙠRtaABF[ZAFB=45°,BF=AB=x,BC=BF+FC=x+13.ᙠRtaAEM[ZAEM=22°,AM=AB-BM=AB-CE=x-2,Õ“oAMx-22Ö;tan22.=------------x——ஹ%x-12.MEx+135ᦟ§¨Ḅ¸12m.(2)ᵫ(1)ME=BC=x+13H2+13=25..×,MOMEᙠRtAAME[cos220=——,AEAE=MEcos22°~25x—«27.16AஹEOPḄ½¾Ø27m.24.ூÙ⚪Ú᛻௃ÜÝḄ☢Þaa8ᦪa>0,ßÝḄàáâ@ãḄᕜàᨬæçᨬæ¢áâçூᦪ§èé௃~55⚓/C61⚓

55>ßÝḄàx,ᕜày,ᑣyNxḄRᦪ⊤ëTy=2(x+-)(x>0).XூìíẆï௃æðñ␺óẆïRᦪḄᐜìíRᦪy=x+-Ḅabឋõ.X(1)Ù⚪Ú᛻Rᦪy=x+öḄxḄ¡¢¤x>0,·⊤yNxḄ÷ø_`¢.xXX11123mX432y•-/2123113-2-4432234জᑏmḄ¢UঝûßRᦪababx=@yᨵᨬæ¢ü᝞ஹ=Uýd%ᙠfþ+Rᦪy=ax2+bx+c(aM)Ḅ(æ)¢@◀ᑮ.ᵨᦪx+-(x>0)Ḅᨬ⚪(2).x(2)ூ⚪௃"#ᑏ%“⚪'᛻''*⚪Ḅ+,.J,A4-321O'I234xூ-./ᫀ௃(1)জ42ঝ1222(2)45Ḅ☢78a(a89ᦪa>0),:;45Ḅ<8஻>?Ḅᕜ<ᨬᨬA4G.ூB௃⚪ᑖ᪆E(1)জᵫ⚪G᧕%IḄঝᦪJKᑭᵨMᐰOPQRᦪ᪆QSTᓽᑮᦪḄᨬ.V56⚓/Y61⚓

56[2᪷]MᐰOPQRᦪ᪆QSTᓽ%+^.⚪᪆EE[1জᵫ⚪G_=42ঝᦪ`%+Ḅ᝞EXVx>0,ᡠ—De,Xᡠ:x=l>Ḅᨬ80,X.,.:x=l>ᦪy=x+x>0ḄᨬA2.x[2;y=2«-JSMTU2+4V.W«=Y3Z,ᓽg=i>yXḄᨬᨬ846./E45Ḅ☢78஺:45Ḅ<8k>?Ḅᕜ<ᨬᨬ84G.lmEn⚪o⌕ὃrsMᐰOPQtuvᦪḄឋxyeᦪḄᨬḄzᵨᦪḄឋx{K|lḄᳮ~ᙢᵨḄឋxSTA⚪Ḅᐵ.25.᝞K4BAD~4BCEᙳ8{Ὺ"5NBAD=/BCE=90஺lM8DEḄ*llEADOTḄ"AMlN.1:A,B,Clᙠ">[᝞1,EM8ANḄ*l22R1*Ḅ4BCElB:A,B,Elᙠ">[᝞2,EAACN8{Ὺ"52V57⚓/Y61⚓

57(3)R1*4BCElBᑮ3>(2)*Ḅ+,Aᔲ¡ᡂ£¤¥ᡂ£¦§¥¨ᨵᡂ£ª«¦ᳮᵫ.ூ-./ᫀ௃(1)¦᪆2(2)¦᪆2(3)4ACN¡8{Ὺ"5¦᪆.ூᑖ᪆௃(1)ᵫEN஻AD~lM8DEḄ*lᑮ®ADMgANEM,¯°ᑮM8ANḄ*l.(2)᧕AB=DA=NE,ZABC=ZNEC=135°,¯°ᑮAABC±®NEC,S°ᑮAC=NC,ZACN=ZBCE=90°,ᑣᨵAACN8{Ὺ"5.(3)(2)*Ḅ⚪AB=DA=NE,ZABC=ZNEC=180°-ZCBN,¯°ᑮ®ABC^ANEC,S°³AC=NC,ZACN=ZBCE=90°,ᑣᨵ4ACN8{Ὺ"5.ூB௃(1)¦E᝞1,12EN஻AD,2.NMAD=ZMNE,ZADM=ZNEM.VlM8DEḄ*lZ.DM=EM.'NMAD=NMNEᙠAADM~ANEM*ENADM=NNEM,/.AADM^ANEM(AAS).DM=EM.AM=MN.yM8ANḄ*l.(2)¦E᝞2,V58⚓/Y61⚓

58c2´®BAD~4BCEᙳ8{Ὺ"5AB=AD,CB=CE,ZCBE=ZCEB=45°.VADZ/NE,AZDAE+ZNEA=I80°.VZDAE=90°,AZNEA=90°.ZNEC=135°.,:A,B,Elᙠ",.,.ZABC=180O-ZCBE=135°.AZABC=ZNEC.,/®ADM^ANEM().-.AD=NE.EAD=AB,AAB=NE.AB=NEᙠaABC~aNEC*%\/ABC=NNEC,.-.AABC^ANEC(SAS).BC=EC2.AC=NC,ZACB=ZNCE.AZACN=ZBCE=90°./.®ACN8{Ὺ"5.(3)Z\ACN¡8{Ὺ"5.¦᝞µE᝞3,>AஹBஹNlᙠᩩ".VAD/7EN,ZDAB=90°,AZENA=ZDAN=90°.ZBCE=90°,ZCBN+ZCEN=360°-90°-90°=180°.,:AஹBஹNlᙠᩩ"/.ZABC+ZCBN=180°./.ZABC=ZNEC.VAADM^ANEM()2.AD=NE.EAD=AB,AAB=NE.AB=NEᙠAABC~ANEC*V

5926.᝞ºᱥy="ᓈ2+bx+ll(2,6),Â"y=2x+1ÄA,8ÇllAᙠÈl8É8C_LxÈᚖÎ8l஺(4,0).(2)¥`A"18;ºᱥḄÑÒllPÉPD_LxÈl஺/AB01ஹE,ÕPEḄ2(3)ᙠ(2)ḄᩩصÙPCZ5Äl஺:ÕPC8EÜÄOᑖ>ª%l஺Ḅᙶ᪗.959711ூ-./ᫀ௃পy=-x2+-x+l2(2)PE842বlQḄᙶ᪗8I],=)ᡈ(]—)•ூᑖ᪆௃(1)ᑭᵨ"᪆QBlᙶ᪗ëᑭᵨìíîᦪºᱥ᪆Q2(2)Ù%Plᙶ᪗ᑣ⊤ð%Elᙶ᪗ᑣ⊤ð%PEḄ<ᑭᵨyeᦪḄឋxPEḄ2(3)ᵫᩩØKñò5BCEP8OTñò5BC=PE,ᑣPlᙶ᪗ᑭᵨ*lᙶ᪗Qlᙶ᪗.ூB௃(1)EBCJ_xÈᚖÎ8lC(4,0),ÂlBᙠ"y=2x+l.•.lBḄᙶ᪗8(4,3),ºᱥô=஺X2+ö+1l(2,6)~lB(4,3),[4஺+28+1=616஺+46+1=3'a=-1E1,9b=—I2V60⚓/Y61⚓

609.ºᱥḄ᪆Q8y=-x?2+-x+\91(2)ÙÒlPḄᙶ᪗8(x,-x~4—x+1),ᑣlEḄᙶ᪗8(x,-x+1),22•.•´ùúÈlùÂlPᙠ"AB/.PE=PD-ED=-x2+-|x+l-^x+lj=-x2+4x=-(x-2)2+4,...:x=2>PEḄ842(3)EPCBEÜÄOᑖñò5BCEP8OTñò5PE=BC,-x2+4x=3ᓽx?—4x+3=0᳝=1,x=3,2:QᑖPC,BEḄQᙠy=x+l4+15...জx=lᓽEḄᙶ᪗#1$QḄᙶ᪗#15959&ᙶ᪗#/Xj+l=^ᑣQḄᙶ᪗#(5,—)ঝx=3ᓽEḄᙶ᪗#3$QḄᙶ᪗#T=1711711&ᙶ᪗#5X5+1=1ᑣQḄᙶ᪗#(3—)597114567QḄᙶ᪗#(31)ᡈ(5—)•:⚪#<=>ᦪḄ4ᔠAᵨCDEFGᦪHஹ<=>ᦪḄJKLឋNஹOPQRSḄឋNஹTUVWDᑖXYZVW[6\.ᙠ(1)]^Bᙶ᪗_⚪Ḅᐵaᙠ(2)ᵨPᙶ᪗⊤dePEḄf_⚪Ḅᐵaᙠ(3)ᑨheQRSBCEPOPQRS_⚪Ḅᐵa.i61⚓/l61⚓

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