北师版九年级数学上册全册单元综合测试(全册含答案)

北师版九年级数学上册全册单元综合测试(全册含答案)

ID:83477051

大小:11.75 MB

页数:122页

时间:2023-07-06

上传者:灯火阑珊2019
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22AZEAC=zCFE•.zDAF=zCFE.,.zEAC=zDAFvAE=AF,NAECj¾AFD/.AEC^AAFDAC=AD,HzD=zACE=60°•.ACDAIAABCºjABCD-.9:⚪ὃ=>-ḄᑨஹḄឋᐰḄᑨ)¿Àᙠ@AᩩXD¯"ᐰ)ÁḄÂᓄ)23§¨.22.᝞C)nABCDḄeACஹBDqr0,BE||AC,EC||BD,BEஹECqrE.IJ"OBEC-.ὃ-ḄᑨnḄឋ.⚪"⚪.ᑖ᪆ᙠnABCDD)*+OB=OC,ᵫBEIIAC,ECIIBD,ᡠhOBEC_`,0ᩩXᔠᙠ/Å)*+dᐸ,-.56"ᙠnABCDD)AC=BD,.•.OB=OC,•••BEIIAC,ECIIBD,OBEC_`)••OBEC-.9ÇÈÉÊ-Ḅឋmᑨᳮ.23.᝞C)nABCDḄeACஹBDqrO,CE||BD,DEIIAC,ËAC=4,ᑨaCODEḄK)LÌÍᐸᕜ.

23Eὃ-ḄᑨឋnḄឋ.ᑖÏ✌ᐜᵫCEIIBD,DEHAC,*+CODE_`)yᵫABCDn)᪷(nḄឋ)᧕+OC=OD=2,ᓽ*ᑨCODE-)Ñ3+6ᫀ.565•••CEIIBD,DEHAC,••CODE_`)•••ABCDn)•••AC=BD=4,OA=OC,OB=OD,.OD=OC=1AC=2,2••CODE-)CODEḄᕜ,40c=4x2=8.ᦑ6ᫀ,8.9%⚪ὃ=>-ḄᑨឋhmnḄឋ.%⚪Ó^ᜧ)°G+CODE-5%⚪Ḅᐵ.24.᝞C)ᙠnABCDD)eBDḄᚖ1_ᑖeMNADqrM,BDqr0,BCqrN,PQMN,DN.(1)BMDN-(2)ËAB=6,BC=8,MDḄ.

24ὃ-ḄᑨឋeÕᚖ1_ᑖeḄឋnḄឋ.ᑖ᪆(1)᪷(nឋdADIIBC,¢d4MD0=4NB0,ZDMO=ZBNO,8DMOSABNO,¢dOM=ON,+d_`BMDN,¢d-BMDN(2)᪷(-ឋdDM=BM,ᙠRSAMBD)᪷(Ö×ᳮ+dBM2=AM2+AB2,¢dx2=(8-x)2+62,dᓽ*.56(1)"•.•ABCDn)•••ADHBC,NA=90°,•=•ZMDO=ZNBO,ZDMO=ZBNO,ᙠADMOABNOD)'NHDO=NNBO■BO=DO',ZM0D=ZN0B.-.8DMrOSABNO(ASA),/.OM=ON,vOB=OD,•BMDN_`)vMNlBD,_`BMDN-.(2)5•••BMDN-).MB=MD,ØMD,x,ᑣMB=DM=x,ᙠRtz\AMBD)BM2=AM2+AB2ᓽx2=(8-x)2+62,5+6MDᔁ.49:⚪ὃ=>nឋ)_`Ḅᑨ)-Ḅᑨឋ)Ö×ᳮA¬Ḅᵨ.°GeÚ_ᑖḄ_`)eÚᚖ1Ḅ_`-.

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26•AP_`rEC,jAPCE,_`.♦O,eACḄD)jePEæACḄD.9ᙠ"ïD)>5_`Ḅᑨᳮ),¦⚪ðᓫᓄ)ᙠ"ïD,*〉Róᐭõöe.0ᱯæᑖ120ᑖ120ᑖ÷--⌱ú⚪ûᐳ8ý⚪)þ⚪3ᑖÿ1.ᑖḄA.B.C.D.2.ᑡᑨḄA.ḄB.ᨵ"90஺ḄC.ḄD.ᑖḄ3.$%&ᙠῪAABC&AB=AC,ᑖ)*+BA,CAᑮD,E-&.DA=AB,EA=CA,ᑣBCDEA.01B.C.D.234.ᙠABCD&45ᩩ7.8ᡂ"&ᑣ45Ḅᩩ7A.ᑖB.AB=BC-ACD.4A+4c=180°25.᝞;&<=ᩩ>?"1Ḅ@ABᡂ30஺Ḅ&ᑣCDEᑖ;▢GEᑖḄ☢I)

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3021.(8ᑖ)᝞;ᡠ&DABCDḄACḄᚖᑖEFLADஹBCஹACᑖ)BP-EஹFஹ0,xyAF,EC,ᑣAFCEᔩ"22.(8ᑖ)ᙠAABC&-OACkl-&-PᙠBC*+k&d-0ḄDE||BCBNACBL4ACPḄᑖP-DஹE.(1)-Oᙠ_&ADCEᳮᵫ.(2)ᙠ(1)Ḅᩩ7&}ACLBCwᩩ7_&ADCE23"23.(8ᑖ)᝞;&4ABC&-0ACkl-&d0eMNIIBC.MNBNACBḄᑖP-E,BNACBḄ᜜ᑖP-F.(1)z{|0E=0F(2)}-0ᙠACkᙳlᑮ_&AECFᳮᵫ.(3)}-0ᙠACklᑮᜐ&AABCwᩩ7_&AECF23EOBCD

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38ᑖ᪆|✌ᐜbcNBAC=NDCA,úûbcABIICDbcNBCA=4DAC,üûbcAD||CB,¼ÌABCD&\{4ABe=90஺&ºpABCD.qr|{|•••MNIIPQ,••ZMAC=4ACQஹZ.ACP=ZNAC,•••ABஹCDᑖ)ᑖ/MACõNACQ,••.zBAC=-zMACஹ-zACQ,22¬••2MAC=NACQ,.,.Z.BAC=ZDCA,••.AB||CD,•••ADஹCBᑖ)ᑖNACPõ4NAC,•••ZBCA=-ZACPஹ-ZNAC,22¬“ACPNNAC,•■•Z.BCA=ZDAC,•••ADIICB,¬•••ABIICD,••ABCD&•••zBAC=-zMAC,zACB=-zACP,22¬••2MAC+NACP=180°,••.ZBAC+Z.ACP=9O°,.•ZABC=9O°,•••ABCD&ᦑrᫀ"|.-¾Ì⚪ô⌕ὃÀÜḄᑨ&ᐵæÒÓᨵḄ&Á?ᜧ,C-ὃÀÕ¿ᳮḄNᵨ.

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41{RDCὃ*%ḄᑨA.ᑖ᪆%ᵫDEIIAC,DFHAB,᧕AEDFy~ᵫNBAC=90஺AEDF1ᵫcᓽᑨAAEFD.!"%!%tuᩩw%AABCῪfADyᑖ/.ᳮᵫ%•••DEIIAC,DFHAB,YAEDFy~•••5ABCῪf.-.ZBAC=9O°,••AEDF1•••ADyᑖ/••.ZADE=ZDAE=45°,••.AE=DE,YAEFD.ᦑ"ᫀ:%%AABCῪfADyᑖ/.*;%i⚪ὃ?@ḄᑨA.i⚪〉4noᦪᔠḄᵨ.•!"⚪(ᐳ11⚪)15.᝞(4CAEAABCḄ᜜ADyᑖ4EAC,XADIIBC.)*C+CGJ_AD,ᚖ:G,AFBCpḄ4/FG.(1)U%AC=FG.(2)AULFG]aABC᪵Ḅ:

42E,DBὃ*%1ḄᑨABឋD2ῪḄᑨABឋD2Ὺf.⚪%⚪.ᑖ᪆%ᐜ᪷⚪oᳮAFCG1ᯠ᪷1ḄឋDᑮ/2ᵫaḄAC1FGᑮAFCGᯠᓽᑮ4ABCῪf.!"%(1)%ADyᑖNEAC,XADIIBC,.-.ZABC=ZEAD=ZCAD=ZACB,.-.AB=ACAFBCpḄ4/-AF1BC,vCGIAD,ADIIBC,ACGIBC,.-.AFIICG,•AFCGy~vzAFC=90°,AFCG1%•••AC=FG.(2)!%ACLFG]AABCῪf.ᳮᵫ᝞%•••AFCG1YAFCGZACB=45°,•AB=AC,••.ABCῪf.*;%¡⚪¢ὃ?@1ḄᑨAឋDஹḄᑨAឋDஹῪḄឋD¤¥*jk¦no!"Ḅ§⌕©ᨎ.

4316.᝞(TAABCḄ:ᙠBCḄ«¬ᑖ+_%AABD,ABCE,AACF,®!"ᑡ⚪%(1)U%AFEDy~2(2)AABC°ᩩw]AFED1(3)AABC°ᩩw]AFEDg(4)0±oAABC,oAFEDᔲ³´ᙠὃ*%1ḄᑨA2y~ḄᑨA2gḄᑨA.ᑖµ(1)a_(4¶2_]ST·aᐰa,¸W¹ADEFy~☢¸~.(2)ADEF1º»Ḅ^_ᑁ90஺ºᑭᵨᙠ*AᜐbᡂḄᕜÀ4BACḄᦪ.(3)AB=AC,᪷gḄᑨAᓽ2(4)NBAC=60஺]Á´ᙠ.!"%(1)%ADEFy~.ᳮᵫ%••-ABD,ABECÂ..BD=AB,BE=BC,zDBA=zEBC=60°,.•.ZDBE=6O°-ZEBA,zABC=60°-zEBA,•••ZDBE=ZABC,.,.5DBE=AABC,DEYAC,•5ACFAAC=AF,•DE=AF.«ᳮ%AABC^AFEC,ᓽEF=AB=DA.,.DE=AF,DA=EF,

44ADEF:y~;(2)!%ÉADEF:1ᑣ4DAF=90஺•••ZDAB=ZFAC=6O",.••ZBAC=36O°-ZDAB-NFAC-zDAF=360--60--60°-90°=150°,.♦.AABC°4BAC=150஺]ADEF12(3)!%.NBACW60஺XAB=AC]AFEDg••i]AB=AC=AF=AD,AFEDy~YAFEDg2(4)!%NBAC=60஺]TA,D,E,F:⚔*ḄÁ´ᙠ.*;%<⚪ὃ?@y~ḄᑨA1ḄᑨAgḄᑨAḄឋDḄᵨ<⚪Ë⌕ᵨḄ¤¥*:%ÌbᑖḄy~a_fḄy~1.17.᝞(BCῪBEDÍDEpḄÎABECy~.ᑨÏABCDḄÐHÑᳮᵫ.ὃ*%1ḄᑨA2ῪḄឋD2y~ḄឋD.ᑖ᪆%᪷y~ḄឋDTABBCDy~XᑣABCDy~,/ᓽ.

45!"%!%ABCD1,ᳮᵫ%BCῪz\BEDÍEDpḄΕ••EC;CD,•ABECy~/.ABHCD,AB=CE=CD,ACYBE,•ABCDy~.•••ACnBE,BE=BD,•♦.AC=BD,ABCD1.*;%<⚪Ë⌕ὃ?@y~ḄឋDTr1ḄᑨAᐵN/Ḅy~1.18.᝞(Òy~ABCDḄDC-.ᑮ*E,zCE=DC,AE,,BC0*F.(1)U%AC=BE(2)ÉNAFC=2ND,AC,BE.U%ABEC1.ὃ*%1ḄᑨA2y~ḄឋD.⚪%ÓÔ(⚪2⚪.ᑖµ(1)᪷y~ḄឋDᑮABHCD,AB=CD,ᯠ᪷CE=DC,ÕUAB=EC,ABIIEC,ᑭᵨaby~XḄy~ᑨÏᓽ2

46(2)ᵫ(1)ḄᐜABECy~Ö)Ḅᐵ×FA=FE=FB=FC,AE=BC,.!஺"%%(1)•.•ABCDy~•••ABHCD,AB=CD,•••CE=DC,.AB=EC,ABHEC,YABECy~••AC=BE(2)vAB=EC,AB||EC,ABECy~.FA=FE,FB=FC,•••ABCDy~.,.Z.ABC=ZD,ZAFC=24D,••4AFC=2ØABC,vZAFC=zABC+Z.BAF,.,.Z.ABC=Z.BAF,AFA=FB,AFA=FE=FB=FC,.,•AE=BC,•ABEC1.*;%i⚪ὃ?Ḅ¤¥*y~ḄᑨABឋDឋDr1ḄᑨAᐵNᐜᵫy~ḄឋDᐰᯠy~Ö)Ḅᐵ×1.19.Ù¤%᝞(ᙠAABC4AB=AC,MBCḄ4*MD1AB,ME1AC,DF1AC,EG1AB,ᚖᑖ:*DஹEஹFஹG,DFஹEG,0*P.ᑨÏMDPEḄÐHÑᳮᵫ.

47ὃ*:gḄᑨA.⚪%⚪.ᑖ᪆%᪷MD1AB,ME1AC,DF1AC,EG1AB,ᐜMDPE:y~᪷AB=AC,MBCḄ4*ÕlÛMD=ME,ᵫ“ᨵabcḄy~g”.!"%%MDPE:gᳮᵫ%AM.•=•ME1AC,DF1AC,.••MEIIDF,•••MD1AB,EG1AB,•••MDIIEG,•••MDPEy~2•2AB=AC,MBCḄ4*••.AMyᑖ/••.MD=ME,YMDPE:g.BMC*;%gḄᑨÞÑa_:gḄᳮßàᵨáÞ:জAh2ঝ2ঞ/åᚖfyᑖ.20.᝞(%ᙠy~ABCD4ACḄᚖfyᑖ/ᑖ,CpஹAB0EஹFÌ*,AC0O*æᑨÏAECFḄÐHÑᳮᵫ.

48ὃ*:gḄᑨA2y~ḄឋD.ᑖ᪆%᪷y~ឋDADIIBC,NDAO=/ACF,ZAEO=ZCFO,᪷AAS5AEOSACFO,OE=OFᓽ.!"%%%AECFḄÐgᳮᵫ%•••y~ABCD,•••ADHBC,..z.DAO=zACF,z.AEO=z.CFO,•••EF)ACḄ4*O,.•.OA=OC,ᙠAAEOWACFO4"ZEA0=Z0CF

49⚪%⚪.ᑖ᪆%⌕AFCEgú◤Ö)Ahᐸᓽ.!"%!%AFCEg.ý*EᙠACḄᚖfyᑖ/p.,.AE=EC.«ᳮAF=FC.AE||FC,**«z.1=z.2..,.z.2=z.3.XvCOlEF,AZCOF=ZCOE=90°,.-.5COF=ACOE.•CF=CE.AAE=EC=CF=FA.AFCEg.H*;%gḄᑨÞÑa_:gḄᳮßàᵨáÞ:জAh2ঝ2ঞ/åᚖfyᑖ.22.ᙠ4ABC4*OACpaq**PᙠBC-./p)*0Ḅf/DEIIBC,4ACBB4ACPḄyᑖ/0*DஹE.(1)*0ᙠþÿADCEᳮᵫ.(2)ᙠ(1)ḄᩩACBCᩩADCE

50ὃḄᑨ!Ḅᑨ.ᑖ᪆(1)᪷'CE(ᑖNACP,DEHBC,)ᑮ+,Ḅ-ᓽ“EC=4ECP,/᪷',0,-1OE=OC,2ᳮOC=OD,31EO=DO,/ᨵᩩAO=CO,31ᑮADCE(5/64DCE=90஺3ᑭᵨḄᑨ:;ᓽᨵ<=ᑁ-?-Ḅ(5!(2)ᑭᵨḄᑨ1@DE_LAC,AB1@;ᫀ.:;:(1)OACḄDᑣADCE!ᳮᵫF£(ᑖNACP,•••ZACE=ZPCE,•••DEIIBC,••,NOEC=NECP,•,.zOEC=zOCE.••.OE=OC,2ᳮOC=OD,•"OD=OE.••AO=CO,EO=DO,•••ADCE(5•••DCஹCEZACBNACPḄ(ᑖJ.=.ZDCE=9O°,KAECF!(2)AC1BCADCE.ᳮᵫ•.NBCA=90°,•.DEIICB,.••ZDOA=90°,ᑣDEIAC,

51KAECF.LM⚪O⌕ὃQR(5ḄᑨḄᑨSTḄᑨ,UV:WX⚪ḄᐵZ6EO=DO["DCF=90஺.23.᝞]^ABCD஺AC_<=`a0b?JMN||BC.cMNdZACBḄ(ᑖJeE,dZACBḄ᜜-(ᑖJeF.(1)g6OE=OF!(2)0ᙠAC_h`ᑮijAECFkᳮᵫ.(3)0ᙠAC_h`ᑮlᜐnAABCᩩAECFὃḄᑨ!Ḅᑨ.ᑖ᪆(1)᪷'(5JḄឋpST-(ᑖJḄឋp1@41=42,43=44,AB1@;ᫀ!(2)᪷'AO=CO,EO=FO31AECF(5/6NECF=90஺ᑭᵨḄᑨ1@ᓽ3!(3)஺ᙠAC_h`ᑮACDqNACB=90஺#AECF✌ᐜ6/6AC1EF᪷'0-Jt+ᚖ?Ḅ31vw.:;(1)6MNd4ACBḄ(ᑖJeE,dNACBḄ᜜-(ᑖJeF,-Z2=z.5,z4=z6»•.MNIIBC,.•.z1=z5,z3=z.6,r•Z.1=N2,Z3=Z.4,AEO=CO,FO=CO,AOE=OF

5220ᙠAC_h`ᑮACDAECF.6OACḄDAO=CO,,•EO=FO,••AECF(5•ZECF=9O°,K(5AECF.3OᙠAC_h`ᑮACDqNACB=90஺AECF.6ᵫx231OᙠAC_h`ᑮACD(5AECF,•••Z.ACB=90°,.•22=45°,•••(5AECF.--EO=CO,“1=/2=45°,••.ZMOC=90°,.".AC1EF,AECF.LM⚪O⌕ὃQR[ḄᑨᐵZz{Ḅ|ᨵ<=-?-Ḅ(5.24.᝞]AABCD0AC_Ḅ<=`a0b?JMNIIBC,d4ACBḄ(ᑖJeE,dNACBḄ᜜-(ᑖJeF.x1}ᑨ~0EOFḄᜧᐵkᳮᵫ!x20h`ᑮlᜐAECFk@Ḅᳮᵫ!x3ᙠ2ḄᩩAABCᩩAECF.

53AὃḄᑨ!Ḅᑨ.ᑖ᪆(1)ᑭᵨ-(ᑖJḄឋpḄ1@Z1=Z2,AB1@43=42,ᓽ31@0EOFḄᜧᐵ(2)✌ᐜḄAECF(5AB1@NECF=90/ᑭᵨḄᑨ1@ᓽ3!(3)ᵫ(2)63U0h`ᑮACḄDAECFAB1@AC1MN,ᓽ31@;ᫀ.:;(1)6:CE(ᑖNACB,.•21=42,•••MNIIBC,••.Z1=z3,••.z3=z2>.--EO=CO,2ᳮFO=CO,•••EO=FO.(2):0h`ᑮACḄDAECF.ᳮᵫ•••EO=FO,஺ACḄD.••AECF(5•*CF(ᑖZBCAḄ᜜-.•24=45,1xl80°=90°.2ᓽ4ECF=90K(5AECF.(3):ZXABC?--ᓽNACB=90஺AECF,ᳮᵫᵫ(2)63UOh`ᑮACḄDAECF•.•ZACB=9O",CEஹCNᑖNACB4ACBḄ᜜-(ᑖJAZ.1=Z2=Z3=N4=N5=45°,•••AC1MN,AECF.

54ALM⚪O⌕ὃQRḄᑨஹ(5ḄᑨSTḄᑨ,UVᑖḄ|:⚪ᐵZ.25.1᝞]ABCDḄ0-JACஹBDde0,aDbDPII0C,nDP=0C,CP,ᑨ~C0DPḄkᳮᵫ.x2᝞⚪DḄvwᳮᵫ.3᝞⚪DḄvwᳮᵫ.ὃḄᑨឋp!Ḅᑨឋp!Ḅᑨឋp.ᑖ᪆x1᪷'Ḅឋp1@0D=0C,᪷'ᨵ<0(5n+,Ḅ(51@C0DP(5᪷'Ḅᑨ@ᓽ3!x2᪷'Ḅឋp1@4DOC=90஺᪷'ᨵ<0(5n+,Ḅ(51@C0DP(5᪷'Ḅᑨ@ᓽ3!3᪷'Ḅឋp1@OD=OC,ZDOC=90%᪷'ᨵ<0(5n+,Ḅ(51@C0DP(5᪷'Ḅᑨ@ᓽ3!:;:x1C0DPḄᳮᵫ••ABCD.•.AC=BD,0A=0C=-AC,0B=0DBD,22•••OC=OD,vDPIIOC,DP=OC,

55••CODP(5•.OC=OD,•••(5CODP!(2)CODPḄᳮᵫ•••ABCD•••AC1BD,.=•ZDOC=90°,•••DPHOC,DP=OC,••CODP(5•••ZDOC=90°,•••(5CODP!(3)CODPḄᳮᵫ•••ABCD•••AC1BD,AC=BD,OA=OC=-AC,OB=OD=-BD,22.ZDOC=90°,OD=OC,•••DPIIOC,DP=OC,KCODP(5•••ZDOC=90°,OD=OCK(5CODP.L⚪ὃQR(5ḄᑨஹஹḄឋp[ᑨO⌕ὃQḄ[ᳮ⚪ᐹᨵ<Ḅ¡⊤ឋ<⍝¤¥¦Ḅ⚪.

560ᐗ02'3-ஹ¨©⌱<⌱x«⚪3ᑖᐳ30ᑖ}1ஹᑡ±<ᐗK³±Ḅx}A>x+2y=\Bஹ2xxx-1}=2x2+3C>3J_4Dஹx2-2=0%+x2ஹᐵeÁḄ<ᐗK³±X2+Ã=0ᨵÄᦪ᪷ᑣx}Aஹk<0Bஹk>QCஹ©0DஹkWQ3ஹƱ8x+3=0ᓄᡂxx+m}2=஻ḄFᑣmஹnḄÍx}Aஹ4,13B.ஹ-4,19Cஹ-4,13Dஹ4,194ஹÏU?--ḄÐᩩÑᑖ±W-14x+48=0ḄÐ=᪷ᑣM-ḄÓx}46ᡈ8Bஹ10ᡈ2rC.10ᡈ8Dஹ2775ஹqᐵeXḄ<ᐗK³±-1}£+Á+"-1=0Ḅ<=᪷0,ᑣaḄÍx}Aஹ1Bஹ-1Cஹ1ᡈTDஹ126.±x2=3xḄ᪷x}Aஹx=3x=0C>Xi=-3,X2=0DஹXi=3,X2=07ஹq±or?+ß+஺=0x஺Á0}Da+ᓃ+c=0[஺<8+c=0,ᑣ±Ḅ᪷x}Aஹ1,0Bஹ-1,0Cஹ1,-1Dஹâã8ஹäUå2-5æ+6>2=0,ç1èுå,ex}AஹτᡈτBஹ2ᡈ3Cஹᡈ1Dஹ6ᡈ13269ஹ±x2-4|x|+3=0Ḅ:x}Aஹx=±1ᡈx=±3Bஹx=l[x=3C^x=-lᡈx=-3DஹâÄᦪ᪷

5710ஹòᵨᜋḄ</ᵨ13mḄôõö÷ᡂ÷ᡂ<=☢ù20l2ḄÑgú=ÑḄÐÑncᜋḄ0Ñxm,31±x)13—xAஹxx13-x}=20Bஹx■—z—=202,1ஹ13-2xCஹxx13-_x}=20Dஹx•=2022Kஹû©ü<üx30ᑖ}11>Æ<ᐗK³±3xxx-2}=4ᓄ<ñF12ஹᐵexḄ±x<ý}þ"ÿ-x+3=0ᐗᑣm=13ஹxx+1x-2=0Ḅ;14ஹy=,y2-2yḄ315ஹ!"x2+kx+3=0Ḅ$᪷-1,ᑣ1<=,'᪷16ஹᑏ*+4,-5᪷,⚗.ᦪ1Ḅᐗ17ஹ᝞232-24+1.+4$6ᐰ89:ᑣm=18ஹ<᪥>?ᢗA2BᐗCDEFᘤᩞ⚜JKLM?ḄᢗANO8BᐗPQ᪥RM?CDEFᘤᩞḄᢗAḄ?8ᙳTU᳛x,ᑣWᑡ;19ஹZa,b$]^_^`Mᩩ]^bḄU,/+//+஻+e=12,ᑣR$]^_^`ḄfbU;20ஹᙠᩩhijkn$mRn$mnohiḄM$pmᐳᨵn+2$mP+Rn+2$mstuMmpmḄhiᐳᨵ45ᩩᑣn=_ஹᵨw26ᑖy21ஹzᑡ{|⚪4ᑖᐳ16ᑖ(1)x(2x-7)=2x(2)x2-2x+4=0

58(3,)(y+2)2=(3j-l)2(4)2y2+7y-3=022ஹ5ᑖLᐵxḄa2_8a+20x2+2ax+1=03akQᐗ;23ஹ5ᑖ▅z☢ᩞᧇyI*20y1x0ᓄx2-x-2=0,yx,=2,x=1ᔠ⚪u>272x<0ᓄx2+x-2=0,yx,=l,ᔠ⚪u>X2=-2.Ḅ᪷Xi=2,X2=-2

593᯿⚪x2||110xஹὊw14ᑖ24ஹ7ᑖ¡ᜧᤂ¤¥¦ᙠ├¨s©ªy“¬”¯°¥8ᙳ{ᜩW¨*20±{±²ᑭ40ᐗ.´µ¶M----”¸¹⁚ᖪ¼½ÙÚk〉Ḅ¿ÀÁÂ᡽ᜧ├¨ÄT4²ᑭÅÆÇÈÉÊ.Ë̼ÛÍ©ª᝞2{±°¥¿À1ᐗÎÏ8ᙳ{ᜩÑWÒ¨*2±.⌕Ô8ᙳ{ᜩ├¨RÕ°¥j²ᑭ1200ᐗÎÏ{±°¥Ö׿ÀÒÈᐗØ25ஹ7ᑖ᝞Üᙠ4ABCsZB=90°,AB=6cm,BC=12cm,mPåmAæçèABbᔣmB+1cm/sḄëìíîQåmBæçèBCbᔣCm+2cm/sḄëìíî᝞2mPஹQᑖðåAஹBo*©,ñòóôõPBQḄ☢ö÷8cm2?.

60)ὃᫀஹùw⌱⌱:⚪ü12345678910ýᫀDDCBBDCAABஹ:11ஹ3x2-6x-4=012ஹ13ஹX]=0,X2="l,X3=2.14^3ᡈ115ஹk=4,!B᪷#-316ஹ(x-4)(x+5)=017ஹ-3ᡈ118ஹ2(l+x)+2(l+x)2=819ஹ7320ஹ8*ஹᵨ,,-913__74-21ஹ(1)XFO,X2=_;(2)23ᦪ᪷(3)yi=-_,y=_(4)yஹ,22424

6122ஹVa2-8a+20=(a-4)2+4>0:2;a<=>:?@(a2_8a+20)x2+2ax+\=0ABᐗD?@23ஹEx2lF:x2-x+l-l=0,GXFI,x=0(Iᔠ⚪L:MN)E2x<1F,x2+x-l-l=0,GXi=-2,x=l(Iᔠ⚪L,MN)2P?@Ḅ᪷#X,=l,X2=-2RஹὊTT24ஹUVWXxᐗ:G-(40-x)(20+2x)=1200,,Gxi=20,XFIO(Iᔠ⚪L:MN)s25ஹUZ[ḄF\#x]:G-2x(6-x)=8X2(0WxW6),,G-Xi=2,x=42

620ᐗ02'3_`ᑖ-120ᑖ:F\-120ᑖbc-'⌱7⚪_de⚪3ᑖ:ᐳ30ᑖc1.gᑡᐵjxḄ?@-@ax2+dx+c=0ঝ3_x—9c2-_x+lo=lx+3=-ট_M+a+lcx2-a=0ঠJx+1x-1,ᐸuᐗD?@ḄvᦪB_cA.1B.2C.3D.42.ᵨw?x,ᐗD?@᮱-445F:z?@{|}#_cA._x+2c2=1B._x-2c2=1C._x+2c2=9D._x-2c2=93.a#?~+X-5=0Ḅ,:a:+a+1Ḅ>#_cA.12B.6C.9D.164.x2+6x+9+Jy-3=0,ᑣ%—Ḅ>#_)A.0B.-6C.6D.AI5.ᡃᗐḄ.᪥N¡¢£dv389ᐗ:¤¡¢438ᐗ.Ud¡¢Ḅ¥¦Ḅ§ᙳ©ª᳛#X,ᑣg☢ᑡḄ?@u®¯ḄB_cA.438(l+X)2=389(1+%>=438C.389(l+2x)=438D.438(l+2x)=3896.᪷°gᑡ⊤²V>:X3.243.253.26ax2+bx+c-0.020.010.03ᑨ´ᐵjXḄ?@01++0=0_஻=0cḄv,¶Ḅ¸B_cA.XO.24B.3.24cxV3.25C.3.25<%<3.26D.3.25<%<3.28

637.¹a,b,஺ᑖ»B*¼}Ḅ*½ª:ᑣᐗD?_a+bx2+2cx+_a+bc=0Ḅ᪷Ḅ¿ÀB_cA.Áᨵ3ᦪ᪷B.{ÃᨵÄÅᨵv3ᦪ᪷C.ᨵÆvÇÈḄ3ᦪ᪷D.ᨵÆvIÇÈḄ3ᦪ᪷8.ÉBᐗD?@i=2x+lḄÆv᪷:ᑣ1+1Ḅ>#_c12X1x2A.——B2C.—D.—2229ᐵjxḄ?@V+2Ê+Ë-1=0Ḅ᪷Ḅ¿ÀÌÍ®¯ḄB_cAM#Î=3ᦪ:?@AÁᨵ3ᦪ᪷BM#Î=3ᦪ:?@AᨵÆvIÇÈḄ3ᦪ᪷CM#Î=3ᦪ:?@AᨵÆvÇÈḄ3ᦪ᪷D.᪷°kḄ<>IÏ:?@᪷Ḅ¿Àᑖ#Áᨵ3ᦪ᪷ஹᨵÆvIÇÈḄ3ᦪ᪷ÐᨵÆvÇÈḄ3ᦪ᪷*ÑgÓÔ#ᵭÖ×ZØ:ÙÚᦋᗐÓÔÜÝ:Þᓄà᛻:âᑜᵨÆF\:äÞᙢ☢æ©ç44%,èÆ§ᙳdÞᙢ☢æḄ©ª᳛B_cA.19%B.20%C.21%D.22%'ê⚪_de⚪3ᑖ:ᐳ24ᑖcfa2—aba>bc,11.j3ᦪ஺ì:ÚíZîï᝞4*2,ò#4>2,ᡠ4*2=42-4X2=8.#ᵩBᐗD?@X2-5X+6=0ḄÆv᪷:ᑣX|*X2=.12.x\=-1BᐵjxḄ?@X2+WA—5=0Ḅv᪷:ᑣz?@Ḅ!v᪷%2=.13._m+lcx"+2mx-l=0BᐵxḄᐗD?@:mḄ>B14.ᐵjxḄ?@X2-2X-஻?=0ᨵÆvÇÈḄ3ᦪ᪷:ᑣmḄ>B

6415.᝞øᐵjxḄᐗD?@N-6x+c=0_cBúᦪcÁᨵ3ᦪ᪷:ûücḄ<>¸B.16.UmஹnBᐗD?@N+3X-7=0ḄÆv᪷:ᑣm2+4m+n=.17.vᐗD?@ḄÆv᪷ᑖ»BRtaABCḄÆᩩᱏ3,ᑏᔠ⚪Ḅᐗ.18.ᦪ!"#ḄᦪḄ$ᦪ%&ᓝᦪ%ᜧ3,ᑣ*ᦪ+.'-.⚪/ᐳ66ᑖ319./8ᑖ356ᐵTḄ/9/9+i3x+w=o./13m+ABCDEᐗF/23m+ABCDEᐗFHᑏᐗḄ⚗Jᦪஹ⚗JᦪLMᦪ⚗.20./8ᑖ3⌱P〉RS-TᑡV/13X?-5x+l=0/ᵨ]S3^/233/x-2>=x/x-23./332x2-2y[2x-5=0./430+232=/33,_1b21./8ᑖ3ᙠ+10cm,e+8cmḄfgḄhiᑖjklhᐰ!ḄnogpqᶇTḄsg/st▢vwᑖ3☢yEzfg☢yḄ80%,|ᡠklnogḄ.~21⚪s

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67)ὃᫀ.1.B`᪆L&bজcᔲ@ᐗe&baḄghᨵᐵQ&bঝ᦮ᳮm2n@56e+241=0,c@ᐗe&bQ&bঞcᑖt&bQ&bটḄe⚗wᦪy&mᓄ(a+J+Q,S}g~hᐸhS0,ᡠ#&bটc@ᐗe&bQ&bঠSc᦮t&bm᣸◀.ᦑ@ᐗe&bᨵ2.2.D`᪆:ᵫN%=5N-4X+2J5+22,ᓽ(x-2)ᓰ9.3B`᪆La&bM+x—5=0Ḅ`ᡠ#a2+a—5=0,ᡠ#a2+a=5,a?+a+1=6.4B`᪆LQ@+6+9+77^=஺(x+3)2+ஹy—3=O.(x+3)20,yjy—3>0,•"0,c-a-b<0,ᡠ#4<0,ᡠ#&bèᨵéᦪ᪷.8.D`᪆Lê,஽c@ᐗe&b—=2x+lḄ᪷ᑣ+%2=2,ᔊ%2=-1ᡠ#

68-L-L--M=-2ᦑ⌱D.+X|XX\x229.B`᪆:᪷»&bḄᑨãt=(2%)2-4ñ-1)=4Þ@4%+4=(2%-1)2+3.•••ফ-1óô...ফ-1)2+3>0.ᦑ⌱B.10.B`᪆:õö¬%ᙳ$¬÷ᙢ☢ùḄ°±᳛cx,ᑣ᪷»⚪ú(l+x)2=1.44,`Xi=0.2=20%>X=-2,2(Sᔠ⚪úý²),211.3ᡈ-3`᪆L`&bx2-5x+6=O,x=2ᡈx=3.Í=3,X=2Î4*X2=3*2=32-3X2=3XI2X]=2,M=3X|*X2=2*3=2X3-32=-3.*=3ᡈ-3.12.5᪆:ᵫ᪷ᦪḄᐵ=-5,1Xi=T,J.%=5.&'()ᐗ+,-./^+2+34জ6)Ḅ᪷ᦪḄᐵ8+9—;<=.aa13.-3ᡈ1᪆(ᵫ⚪@[+2-1=2,m=-3ᡈm=L(m+1h0,14.-1᪆:᪷H⚪@(-2)2-4X(-I)=0.=-\.m15.c>9᪆:ᵫ(-6)2-4XlXc<0,c>9.16.4᪆((“8)ᐗ+,-.N+3x-7=0ḄUV᪷m+n=-3,m2+3m-l=0,m2+4m+n=m2+3m+m+n=l+m+n=l-3=4.Hx2-5x+6=0(WᫀYZ))᪆([RtZXABCḄUᩩcdeḄfᑖha,b.jS^=3,ABCᡠlab=6.mj)ᐗ+,-.ḄU᪷a,b(a>0,b>0),ᡠlnᔠᩩpḄ)ᐗ+,-.q)2r)3)=0,(X—l)(x—6)=0sᓽX2—5x+6=0ᡈX2—7x+6=0s.B25ᡈ36᪆([uVUvᦪḄᓝvᦪxyᑣVvᦪx(X+3).{⚪@(10X+X+3=(X+3)2X=2,X=3,...uVUvᦪ25ᡈ36.12Bᑖ᪆(|⚪8}ᨵxᦪḄ-.⚪.᪷H)ᐗ),-.)ᐗ+,-.Ḅᑖh.[1—1=0,((1)ᵫ⚪@<I=1.ᓽ஻7=1[m+1w0,

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70x2-2x+l=0,ᵨx=\,4.10-1=9.2W(¼+ᕜḄ├¶ÌÍ9ᐗ.&'(ᓫpᖪ²Ḅᑭ´X├¶¬=·ᑭ´.23.ᑖ᪆(·ᑭ´=pÐᙳᑭ´x·pᦪ.[ÒÓÔᓱ9ÖÌXᐗᑣpÐᙳᑭ´98×0.3-XØᐗ,·pᦪ98×500+2LX100Ø.0.1([ÒÓÔᓱ9ÖÌᐗᐗ.ᑣ᪷H⚪@(×0.3-XØ×500+1ÙØ=120,0.1᦮ᳮ(100X2+20X-3=0,:=0.1,஽=)஺-3×Yᔠ⚪@©ªØ.+x=0.1.W(ÒÓÔᓱ9ÖÌ0.1ᐗ.24.(×1Øᵫ=×k+22-4kA>0,>—1.4mk,A"QᜧḄÞßá8k>—1,âã.+0×2ØYäᙠnᔠᩩpḄæᦪk.kᳮᵫ᝞è([-.ã¥+×ê+2Ø%+_=0ḄU᪷ᑖhëx,ᑣᵫ᪷ᦪḄᐵᨵ(A12k+214X+X=-,X•X='1212k4m_L+_L=0,XM=O9|_"+2=O...k=_?x,xX\Xk22ᵫ×1Øî%>—1âZxO,ᡠlã=-2<0,-.yæᦪ᪷.YäᙠnᔠᩩpḄæᦪk.25.(×1Ø=×x+1Ø×ë-1Ø=0,ᡠlX,=-1,ï=1.x2+x-2=×x+2Ø×x-lØ=0,ᡠla=-2,x=1.2f+2x-3=(x+3)(xT)=0,

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10023.)def᪥hᑁj*kᥤḄ᪛Ḅ5no᪥ᦪoqᵨ_s(tud᝞1Ḅvwa_sa᪷yz{ᯠ}o~Ḅ,.ᑭᵨ☢᪷\᝞KFḄefᫀaᙠ᪛(AB)8.7ḄEᜐ,ᯠḼ8E⌨ᑮD,ាᙠᑮ᪛⚔A,ᵨf¡DE=2.7K,¢£ὅ¥58=1.62L\¨᪛(AB)Ḅ5n.(<=ᑮ0.1)A£*¬'*//////////7//DEB24.᝞F48OE°ᙠᙢ☢±Ḅ²᪷°³/8=5m,·¸A8ᙠ□ᐝ1ḄᢗºBC=3m.(1)2LᙠFMNᙠ□ᐝ1Ḅᢗº»(2)ᙠefA8Ḅᢗº¼efNᙠ□ᐝ1Ḅᢗº½)6m,2L\¨OEḄ½.DABCE

101¿ὃÁᫀ--⌱Ä⚪a1.C»2.A»3.C»4.A»5.B»6.C»7.C»8.B»9.D»10.DcÆ•ÈÉ⚪a11.ÊqᡂÌÍ»12.ÎḄ±»13.ÏQᙊ;14.ᙊ┵»15.MᨵÊ&ḄÏQ»`.16.(1)ஹ᪗ᩚ஺(2)efKF3᝞FᡠK஺F3

102(3)᝞F3,e¡᪗ᩚDE=a,᪛᪗ᩚḄº½ᑖÚ)AC=b,EF=cÝ)ÞDEFs/^BACDEFEᡠá—=BACAacᡠáÆ—xbabᡠáX-_oc17.᝞FP/EAYJ(ãä18.1.41m19.ᶍ»æ20.çaèCéCELBDëE,(éìí1ᑖ)yr--1-----»"#H!᪛

103VAB=40CE=40•••□ᐝᐭ&)30°/.ZDCE=30°ᙠRt/DCEtan/DCE=""CE.DEF••---=---4033£>E=40xA~23,ùAC=BE=13ADB=BE+ED=1+23=24Áa4ᨬ5û24(üÁᡷ1ᑖ)21.ᶍ.Uஹ22.ᶍ23.ça_saᵫ⚪NCEANAEB,NCDE=NABE=RtN:ACEDsAEB.CDAB_t=DEBE,,2,7=8.7AAB^5.224.ça(1)9ÿAC,DE//AC,BCஹF,EFᓽOEḄᢗ

104(2),:ACHDF,.ZACB=ZDFE,,/ZABC=ZDEF=90°.ADEF.53,ABBC—=_.DE=EFDE6.*.£>£=10(m).⌕ᦻ!"⌕#$ᩩ&'AC(DF,)*+,ᔆᓽ..

105XYZ[\ᦪ0ஹ23⚪1.678ᦪ:%+1X"+*T/᦮ᦪLkMy>xḄ@AB8ᦪ.52.8ᦪ:——ḄEFGE▲IᙠKLE▲ᑁyNxḄOᜧQ.6x13.67yS2xᡂ@ABIUx=3:0WXUᡝ2:,U=264.᝞]8ᦪ:^ᑗ+1£b-3⊤e@AB8ᦪIfL8ᦪḄESy=-xᨵ$LᑣiḄj.5.᝞1@AB8ᦪḄEᑣlḄm᪆o.136.67qrs:3x—2S:0x+lḄᑣlḄm᪆o27.vᑡ8ᦪx>@AB8ᦪ.জ:x+—ঝ:3"MXXxypi®y=-----®y=22x

1068.{G8ᦪ|}Ux>0)0,fᑖEᙠE▲.x2{G8ᦪ:0_,UxVOy0,fᑖEᙠE▲.xm-19.Ui8ᦪ:——ḄEᡠᙠḄE▲ᑁyNxḄOᜧQOᜧ.x10.᝞2,@AB8ᦪE04,4AB_LxGB,55஺:3,ᑣ@AB8ᦪm᪆oஹ⌱⚪511.{G@AB8ᦪ:0vᑡ+xḄ>()xA..yjB.yNxḄOᜧQOᜧC.yNxḄOᜧQD.)jx-b12.(1,2)ᙠ8ᦪ:ox+b(|--ḄEᑣ(a,Z?)()aA.(—3,—1)B.(—3,1)C.(l,3)D.(T,3)13.67ySxᡂABzSyᡂ@ABᑣzSxḄᐵ()A.ᡂABB.ᡂ@ABC.ᡂABᡂ@ABD.ᡂAB}ᡂ@AB

10714.☢3cm2,ᑣlḄy^cmSx^cm¡Ḅ8ᦪEFG^)A.0ஹ£E▲B.E▲C.£E▲D.0E▲k15.§78ᦪ:Mx+1(:WXl©ᙠ0ᙶ᪗xḄEᜧ¬F>^x16.8ᦪ:®“7ḄE>qrIᙠKLE▲ᑁ8ᦪjyNxḄOᜧQᑣ஻?Ḅj>^A.-2B.4C.4ᡈ02D.-1217.᝞3,@AB8ᦪ:^x>0Eµ¶$AஹBᑖ·xḄᚖᚖ¹ᑖ·CஹD,x*+OAஹ0B,ºACSḄE,Z\AOES½ECO8Ḅ☢ᑖ·SiஹS,AÁl©Ḅᜧ,2.Â^3A.S]>S2BSVS2C§=S2D.S1>$2ḄᜧᐵÇÈ

108kb18.670É8ᦪ:Ê+஻ḄEs0ஹஹËE▲ᑣ8ᦪ|ḄEᙠ^xA.0ஹ£E▲B.0ஹE▲C.ஹËE▲D.£ஹËE▲k19.8ᦪ:Ì0ᓃS8ᦪ:ᙠ0ᙶ᪗xḄEᜧ¬᝞4,ᑣᨵ^X:4A.ZV0BQOC~\0B.Ï+ᦇ2VoC.^ife>0D/É2Vo£ஹmÓ⚪2m+421.678ᦪ:04N—2Ô+/S@AB8ᦪ:------ḄEᙠE▲ᑁḄ0LḄÕᙶ᪗>x-2,Ö$L8ᦪḄm᪆o.

109m22.᝞5,RtzMOBḄ⚔A>0É8ᦪ:0x+஻?+3ḄES@AB8ᦪ:ḄEᙠE▲ḄXISAAOB=1AḄᙶ᪗.m23.@AB8ᦪ:S0É8ᦪ:ØÙḄEÚs(02,—1),IUx=3f$L8ᦪjÛxÜ@AB8ᦪm᪆o.24.67-0L£ÝḄ☢>12cm2,(1)ᑏ#--ßy(cm)SàßḄáx(cm)Ḅ8ᦪᐵoâ(2)#8ᦪE.25.ãᔆ⌕ᑴ⌼Çæ250mL(lmL=lcn?)çᧇḄéᑴᙊë᧕íî᧕íîḄïðñò(óñòÚ>0.02cm,⚔ñò>óñòḄ3ôf>õ■÷“ẖ”Ḅ0úᡭü᧕íîý᦮L⚔þᥟᩭ☢xcmḄ᧕ᵨyen?.ᵨ=☢X+⚔☢X⚔+☢XyxḄᦪᐵ!".k*26.$%&'y=-x+6()*+ᦪ,-.0)x

110(l)Z0123ᩩ5678ᦪᙠ:ᙶ᪗!xOy=Ḅ>?ᨵ8AᐳCD(2)(1)Ḅ8AᐳCᑖFGAஹB,NAOB┦JKLJDMᫀτ)28ஹ1.02.OஹPQᜧ3.4.-25.,-6.y=7.@8.ு>O9.<1443xx6]0.y=_xOஹll.C12.D13.B14.D15.B16.B17.C18.C19.A20.D-10Vஹ21.y=-4x2+14x+49y=22.(—1,2)xx2424.(1),(2)ᶍX25x—0.0226.(l)0

111XYZ[\ᦪஹZ[⚪121_1.ᦪ,"^=_y=-x2,y=,y=~_=⊤ayxḄ)*+ᦪ.xx+12x22.)*+ᦪ,x=k=.*33.g%,hiiḄ)*+ᦪᑣ.4.)*+ᦪḄ>?.25.ᦪ,Ḅ>?Ḅ8ᑖmᑖnᙠo?▲ᙠq?▲ᑁysxḄQᜧt,x2ᦪ,Ḅ>?Ḅ8ᑖmᑖnᙠo?▲ᙠq?▲ᑁysxḄvwt.x6.᝞z)*+ᦪ,hi3^/jzḄ>?ᙠoOஹP?▲~3wO.k7.)*+ᦪḄ>?ᨵC4hx,y^,஻2—1O஺Ḅ8᪷ᑣ.x8.yx+1ᡂ)*+x=261,ᑣy=-16x=.k9.ᦪh%>0^Ḅ>?8CAhxi,»^(BhM,y2^,>%2>0ᑖFAஹ8ᔣx_LxxAiSᑣS^ohZ”ᡈ^,¡SMA0=2,ᑣᦪ¢᪆"GI----------IIk110.)*+ᦪy=ᙠX=1ᜐ§¨v©ᦪª«¬Qi1,ᑣk.x2k11.)*+ᦪ,Ḅ>?®>¯°>¯±ᨵᩩ²³²³x´«%²³=µ.

112k12.᝞zC(a,—3a)ᙠ¶·',~3£0.xOஹ⌱º⚪k13.¡)*+ᦪ,Ḅ>?»C(-2,4),~37ᦪ()X8x8XA.B.y=C.,D.,ߟߟx8x8k14.᝞>1G)*+ᦪ,Ḅ>?ᑣk¾()X>152A.B.C.10D.-1025115.À*+ᦪy=2x)*+ᦪᙠ:ᙶ᪗!ḄᜧÁ>?G(xCD

113Vஹ¢M⚪16.᝞>2,o?▲ḄJÂᑖ'0M)*+ᦪḄ>?«ÃCA,$%0A=2jÄ.(1)CAḄᙶ᪗;(2)Æ)*+ᦪḄ¢᪆".617.)*+ᦪ&',x+2Ḅ>?ÃAஹ88CCAஹBᑖFᙠoPஹO?▲:x(l)Aஹ88CḄᙶ᪗É(2)4A8OḄ☢.*18.᝞>3,ËᦪḄ>?xஹ)ᑖFÃAஹBN@,)*+ᦪḄ>?ÃCஹO8C᝞zACḄᙶ᪗G(2,0),CCஹ஺ᑖFᙠoஹV?▲OA=OB=AC=BD,ÍËᦪ()*+ᦪḄ¢᪆".

114ÎὃMᫀ112ஹ.=,2.3.24.¶·'5.OஹPQᜧஹVQᜧ6.17.—18.yx2x3449.=10.111.²³=µ²³2´«ᚖ&ÑC12.

115XYZ[\ᦪஹZ[⚪(qw⚪3ᑖᐳ30ᑖ)1ஹÕÖרḄᦪy()ØᱏᯖÛxᡂ)*+.$%400ÕÖרᱏḄᯖÛG0.25ÜᑣרᦪyØᱏᯖÛxÝḄᦪᐵ!".2ஹ᝞z)*+ᦪy=4Þ>?C(2,-3),~3ß.X3ஹ$%yxᡂ)*+àx=26y=-l,ᑣy=36xḄª.4ஹ$%y(2x+l)ᡂ)*+x=l6y=2,~3x=0,yḄª.45ஹ¡CA(6,y)(B(5,y)ᙠ)*+ᦪ>=_Ḅ>?ᑣyyḄᜧwᐵ!12-12X36ஹ$%ᦪy=_,x<06ᦪ>?ᙠo?▲ysxḄQᜧtx410ஹ᝞>2,ᦪy=-kx(kW0)âO:Ḅ>x?ÃCAஹB,CAACᚖ&yᚖ1GC,ᑣABOCḄ☢G.>2Oஹ⌱º⚪(qw⚪3ᑖ,ᐳ30ᑖ)ᑡqw⚪äåæâPMᫀ,ᐸ=èᨵMᫀÀéḄê

116ëÀéMᫀḄìíZᙠîw⚪ïḄðíᑁ.1ஹ᝞z)*+ᦪḄ>?»CP(-2,-1),~37)*+ᦪḄ⊤ò"G()1122A>y=xB>y=-xC>y=D>y=-22xx2ஹ$%yxᡂ)*+x=36y=4,~3y=36xḄª¾()Aஹ4Bஹ-4Cஹ3Dஹ-33ஹ¡CA(-1,y),B(2,y),C(3,y)äᙠ)*+ᦪy=)Ḅ>?ᑣᑡᐵ!"ÀéḄ123X()AஹyiyiVy3Vy2—54ஹ)*+ᦪyOḄ>?Ḅ8ᑖmᑖFᙠoOஹP?▲ᑁ~3mḄ÷ªù()xAஹm<0Bஹm>0Cஹm<5Dஹm>55ஹ$%)*+ᦪḄ>?»C(1,2),ᑣ±Ḅ>?úû»()Aஹ(-1,-2)Bஹ(-1,2)Cஹ(1,-2)Dஹ(-2,1)6ஹ¡Ëᦪy=h+b)*+ᦪy=þ>?ä»C(-2,1),ᑣbḄª()XAஹ3Bஹ-3Cஹ5Dஹ-57ஹ¡&'y=kx(kWO)(¶·'y=§(kWO)ᙠᙶ᪗ᑁḄᑣkஹkḄᐵ11212X()Aஹk,kBஹk,kzCஹk,k!"᎔ᦪDஹk,kḄ&'(2228ஹ*+A-./0ᦪ12ᑮ4Ḅ56"5,ᑮx9Ḅ56"3,;Aᙠ<=▲ᑁᑣ?@-./0ᦪḄ⊤BC"()121211Aஹy=_Bஹy=—Cஹy=Dஹy=—___xx\2x12x9ஹ᝞IP"-./0ᦪym6ḄM1ḄpQᚖQR*9ᚖT"Q,UVXWPOQḄ☢Y"()

117Aஹ12Bஹ6Cஹ3Dஹ1.5k10ஹ*+-./0ᦪy=\kWO],^x>0`yaxḄbᜧdbᜧUVe0ᦪy=kx-kḄgxh\]Aஹ<ஹ<=ஹi▲Bஹ<ஹ=ஹi▲Cஹ<ஹiஹj▲Dஹ<=ஹiஹj▲iஹkl⚪

118⚪6@o⚪,ᐳ40ᑖ]1ஹ\6ᑖ]*+stḄ☢Y"6,u2ḄvywxxyḄ0ᦪᐵCzᙠQ{ᙶ᪗|}~?@0ᦪḄ.2ஹ\6ᑖ]Ḅ2ḄP\kg/m3]2ḄYv\m3]Ḅ-./0ᦪ^v=10m3`p=1.43kg/m3.\1]uPḄ0ᦪᐵC\2]u^v=2m3`ḄP.3ஹ\7ᑖ]Ḅ᣸`᣸8m3,6o`\h]ᐰ᣸.\1]ḄY

119\2]᝞Ib᣸`Ḅ᣸BᑮQ\in?]UV᣸ᡠ◤Ḅ`yt\h]᝞§¨ᓄ?\3]ᑏ~tQxyḄᐵC\4]᝞I«ᜓᙠ5hᑁ᣸UV`Ḅ᣸"\5]*+᣸Ḅᨬᜧ᣸"`12m3,UVᨬv`yᐰ᣸4ஹ\7ᑖ]ᖪ°~±ᢇ³´"2ᐗḄ¶ᓱᙠ¸°⃩├|»¼½ᖪ¾Ḅ¿├±ᓫ´x\ᐗ]¿├±y\@]xyᨵ᝞Âᐵ:¿├±ᓫ´xᐗ3456¿├±y\@]20151210\1]᪷Å⊤|ᦪÅᙠQ{ᙶ᪗|Æ~ÇᦪÈ\x,y]ḄÈÉ\2]ÊËzÌyxxyḄ0ᦪᐵCzÍ~\3]Îg⃩½¶ᓱḄ├±ᑭÐ"Wᐗu~WxxyḄ0ᦪᐵC.;ᱥ´ÒÓ½¶ᓱḄ±´ᨬÔÕÖ×h10ᐗ/@ØÙu~^¿├±ᓫ´x"`ÚÖÛÜᨬᜧ¿├±ᑭÐ

1205ஹ(7ᑖ)᝞3,AÝÞßy=2Qßy=-x-(k+l)ᙠ<=▲ᑁḄ,x3AB_Lx9RB,ãSAABO=2(1)u?ä@0ᦪḄk᪆C(2)uQßÝÞßḄä@AஹCḄᙶ᪗æZXAOCḄ☢Y.3

1216ஹ\7ᑖ]é+-./0ᦪy=——æe0ᦪy=2xT,ᐸ|e0ᦪḄgh\a,b],\a+1,lxb+k]ä.\1]u-./0ᦪḄk᪆C:\2]᝞4,*+Aᙠ<▲ã`ᙠ1ïä@0ᦪḄ1uAḄᙶ᪗;\3]ᑭᵨ\2]ḄòIØóôᙠx91ᔲöᙠP,aAOP"(Ὺi{t;öᙠøùᔠᩩüḄPᙶ᪗ýu~ᩭ;ÕöᙠØÿᳮᵫ.4

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