2022-2023学年湖北省三市中考联考数学专项突破模拟试题（一模二模）含解析

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2022-2023
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13ᦑ⌱7c.:⚪ὃ=>äåḄឋᐰlḄឋèlḄឋQᑨ@é²Ḅᑨ@¹ºäåḄឋT6⚪ḄᐵX.12.Dூᑖ᪆௃øᱥ>=ú2+6x+c(a,b,஺ᙳT×00Ḅþᦪ)K(1,0),ᑣa+6+c=0,(-3,0)ᐭᱥb=2a,ᦑজb=c,x=-2ᐭ52++஻4c-2b+a=3c-3b+c+b+a=0,!x=-2"#$+6x+a=0Ḅ᪷ᦑঝᵫ)0<«1,ᱥḄ012x=_A=W"஺8+9£2ᑖ᪆<ᦪ>?ឋᓽ!ঞa2a-2a22a.ூEF௃Fᱥ»=+&T+C(a,b,Cᙳ"MN0ḄOᦪ)P(1,0)ᑣQ+8+C=0,(S3,0)Tᐭᱥ9Q—3b+c=0,ὶVQ+b+c=0J9a-3b+c=0[Q+6+C=0Fb=2aᦑজfx=S2ᐭcW+Y+Q4c—2h+a,:b=c,a+b+c=0,4c—2b+a=3c-3b+c+h+a=0t!x=-2"#$1+Z+஻=0S[᪷ᦑঝa.•.ᱥḄ0128=-2=]^=1+L£`1,a<ᦪbcᔣ]2a-2a22a9exᜧk?lᓽX,y,ᦑঞ2t2nᫀp6⚓ᐳ48⚓

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16NA4C=30஺©ÌᔜÎÛÜḄᦪÝᐵᓽwÞ.(1)FNBOE=128஺,AZJOE=180°-Z505=52°,•OOEL4C,8.ZOHA=90°,8.NB4c=180-/OH4N4OE=38஺,•OE"ᙊ஺ḄßÊOEJ_4C,.♦♦••AE=CE98./ABE=/CBE,8.ZABE=-ZAOE=26°,2.♦./ᔊICḄÇᦪN38஺NC8EḄÇᦪN26஺(2)'8AB"ᙊ0ḄáÊAZACB=90°,BPBCVAC,OOELAC,J.OE//BC,'."EC//AB,¼Ø©OECBN±â¼Ø©•8OB=OE,¼Ø©OECB"Ö©8.BC=OB=-AB,2VZACB=90°,..P”BC1AB28.ZBAC=30°,8.ZABC=180-ZBAC-ZACB=60°,,8஺"ᙊ஺Ḅᑗ8BDLAB,nᫀp9⚓ᐳ48⚓

17•NN8D=90஺/CBD=NABD/ABC=30஺,.,OE"ᙊ஺ḄßÊOE_LZC,♦♦••AE=CE9.ZABE=ZCBE=-NZ8C=30஺,2/.NDBE=NCBE+/CBD=6஺஺,ZDBEḄÇᦪN60°.᪗⚪⌕ὃ~ÍΩᙊḄtᔠᡂᒹæᑗḄឋᚖÊᳮᙊᕜÎᳮÖ©Ḅᑨ¶ឋÎḄÍÎ<ᦪᳮF⚪çtᔠèᵨéê!ëP"F⚪ᐵ.16.ìᜧíḄîÇïN72.1m.ூᑖ᪆௃ðAH_LCD)H,ᑣ¼Ø©ABDH"ñ©HD=AB=31.6m,ᵫÍÎ<ᦪòAH^40.51(m),óCH=AH=40.51m,ôknᫀ.ூ௃FðAHJ_CD)H,᝞ᑣ¼Ø©ABDH"ñ©,HD=AB=31.6m,HDᙠRtZ\ADH´ZHAD=38°,tanZHAD~AHHD31.6AH=-------------=------~40.51(m),tan^HAD0.78nᫀp10⚓ᐳ48⚓

18ᙠRtAACH´NCAH=45஺,ACH=AH=40.5Im,ACD=CH+HD=40.51+31.6-72.1(m),nìᜧíḄîÇïN72.1m.{⚪ὃ~¾FáÎÍΩḄèᵨ-ûÎüÎᡂ¯ÌῪáÎÍΩḄᑨFn{⚪Ḅᐵ"᪷ûÎ᪀⌼

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19LnJḄ9:/min2791114LJḄKL/m24084096010801140ᦑ840,960,1140(2)জ?@ALJ960PMs✂LJ1500P?@AᑮMs✂ḄKLu1500-960=540Pᦑ540ঝvwxyzᓇ|}a.~zᓇḄ12uᚆᓤ”=240Pbᑖ0,ᦑ240ঞ᪷*ᦪMN;Qx=12<^=1200,Qx>12<13ᑮ16ᑖ0<Ḅᦪ᪆WO>=+6,ᐭ(13,960),(16,1500),-1500=16+6960=134+6=180-6=-138013U16ᑖ0<Ḅᦪ᪆WOP=180x-1380,Xy=1200,-x=14,ᡠQvwᙠLJḄKLu1200v<LJḄ9:u12ᑖ0ᡈx=14ᑖ0,ᦑ12ᡈ14(3)Q104x<12<(10,960),(12,1200)Ḅ᪆WOy=¥+1200=12+4960=10ᓃ+b1ᓰ=120-4=-240jᫀd12⚓ᐳ48⚓

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21:4(0,2),B(Gn)VC(6஺),8C_Lx¿OA=2,á/BOO5Á
8.OA=OB=AB=2,ᙠá8COÄN8OC=30°,OB=28.n=BC=\,.•.®8Ḅᙶ᪗(61).(2)_®EḄᙶ᪗O(0,y),ᵫᢚñḄឋó;-NE=EC=2-y,ᙠR/AOCEÄ/+3=(2-᜛)2,-_y=Lᑣ®Eᙶ᪗O(0)44ÐFMLCB6®"᝞iMM8=x,,?ZMBF=180஺-120°=60°,ᙠRf^MBFZ,FB=2x,FM=®Vᙠ÷áMCFÄjᫀd14⚓ᐳ48⚓

22᪷*ÉÊSᳮ-_2-2x>=x+iy+ø2,3-_X=TF,1010ᑣ®²ᙶ᪗O8⌳.10103_'8EF//OB,ভE²O5Á
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23ᳮᱞMNO@PQRSTUVWXYZ[,⚪Ḅᐵ]^⚪⍝`ᔠឋbcḄd⚪.19.(1)/(-5,0),B(-1,0)eC(-4,-3)eD(-3,-4)2737(2)@—:ঝ(0,5)Wt--ூᑖ᪆௃(I)ghᱥYj᪆lᓄn⚔Slᓽqr[S஺Ḅᙶ᪗ty=0,r[xḄuᓽq!ᑮ/ஹBḄᙶ᪗gᓱ-4yᐭhᱥYj᪆lr[yᓽqr[SCḄᙶ᪗e(2)জᐜr[}Y8cḄj᪆lnN=x+1,~SVE5cF,ᑣSPḄᙶ᪗n"+6/+5),SḄᙶ᪗n(3f+1),=-"-5f-4,᪷S&PBcS\pc+S4]+Wrjᓽqeঝᑖ᝞?1ᡠSᙠ}YOP᝞?2ᡠSᙠ}Y8crjᓽq.(1)jhᱥYj᪆lny=Y+5=(x+3)2-4,hᱥY⚔S஺Ḅᙶ᪗n(-3,-4)ety=0,iH!|x2+6x+5=0>j!x=-lᡈx=-5,•hᱥYy=x?+6x+5>xS4,B(SZᙠS8),SZḄᙶ᪗n(-5,0),S8Ḅᙶ᪗n(-1,0)etx=-4,Uy=(-4+6x(_4)+5=-3,SCḄᙶ᪗n(-4,-3)e(2)jজ}YBCḄj᪆ln.¡+6=0,j—4"b=-3'•}Y8CḄj᪆lnv=x+l,EᫀG16⚓ᐳ48⚓

24~SPVPELxE'BC)F,♦.•SPḄ£ᙶ᪗nf,SḄᙶ᪗n(/,/+6/+5)SḄᙶ᪗n(f,¥1),•**PF=t+i-t2-6t-5=-t2-51-4>••S&PBC-SMFC+S£J>FB=eP,(x--%)+2,Kf)=ᵴ6(4-஽.)=-|(z2+5r+4)...PC//BD,}YBDḄj᪆lny=%x+”,EᫀG17⚓ᐳ48⚓

25.J-²+4=0••1-3²+4=-4.,=2´=2}YBDḄj᪆lny=2x+2,...q}YCḄj᪆lny=2x+ᒹ,2x(ߟ4)+4=-3,/.b=5,28.}YPCḄj᪆lny=2x+5,,ஹ[y=2x+5ὶº»2^J1X2+4X=0,[y=x+6x+5j!x=0ᡈ%¼4(½¾)e=5,EᫀG18⚓ᐳ48⚓

26••SCᙶ᪗n¿-4,3
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ᡈ-7¼;24EᫀG19⚓ᐳ48⚓

27*1,⚪.⌕ὃ12¼.Æᦪ`ᔠÆᦪ>ÈÉ`ᔠ¼.ÆᦪḄឋ;ÊDËᦪÌrÆᦪj᪆lBCDᳮḄ⌮DᳮῪḄឋ;>ᑨDÐÑV[WXYᑭᵨᑖÔḄÕÖrjj⚪Ḅᐵ].20.x9ூᑖ᪆௃᪷×ØᦪÙḄÚÛḄÜÝÌᑣÞÝᓽq.ூ௃X2-X1-x2+7=x9.ᦑ,⚪ὃ1×ØᦪÙḄÚÛḄÜÝÌᑣᓽ×ØᦪÙÚÛØᦪà5ᢣᦪÚ*.21.-4EᫀG20⚓ᐳ48⚓

28ூᑖ᪆௃ᑭᵨäåælÞÝç*èᓽq.ூéj௃êl=5-9=-4.ᦑ-4.,⚪ὃ12¼.᪷lḄëᔠÜÝNO¼.᪷lḄëᔠÜÝÌᑣAäåælj⚪Ḅᐵ].ூᑖ᪆௃᪷ìíᭆ᳛ᜧñḄrÌòóSজôᔠᩩöḄḄ÷ᳫᦪù3,ঝᐰûᔜrḄýᦪ16,¼ὅḄÿ
ᐸḄᭆ᳛Ḅᜧ.ூ௃ᨵ16ᳫᐸᨵ3ᳫ3.•.!"1ᳫᑣ$ᳫḄᭆ᳛-y.16ஹ3ᦑ(ᫀ*+.16,⚪ὃ/ᭆ᳛Ḅ0123ᵨ5671᝞9:ᨵ஻<=>?@ABḄ=>ឋDEᐸH7/"G0ḄOPQᦪSூᑖ᪆௃᪷WXᦪḄYZஹ[ஹ\Z▲ᑨ_"6Ḅ`abc"`ᔠᩩfḄ6Ḅ=>ᓽ=.ூ௃•.,XᦪḄYZஹ[ஹ\Z▲k=2,8.k>Q,8.b>0ḄOPQᦪ.(ᫀi21⚓ᐳ48⚓

29ᦑ2.mb>0ḄOPQᦪS,⚪ὃ/ḄXᦪḄYZ2qᦪḄᐵqstXᦪ2ᙶ᪗wḄxyᱯy{ᐸ|}ឋ(~⚪Ḅᐵ.24.2ூᑖ᪆௃yEEW1CPyEMCDᑮDE=CM=_,bAEKCῪ\\ᔠ:ឋᑮᵫ~ᑮPC=2jLVG"K”'m/S,᪷Wᐰ\¡¢£ᓽ=CGḄ¤.ூ௃ᙠ¦7/8C஺NADC=NBCD=90°yEEWJ.CPy"/EMC=90°EMCDDE=CM=`QAD//BC■.ZPEA=ZEPC,NDEC=ZECM■■NPEA=NCED,NEPC=NECMAEPCῪ\PM=MC®QEMVCPPC=2CM=2¦QFGLECZGCH+ZHGC=90?NDEC+NDCE=90P(ᫀi22⚓ᐳ48⚓

30:"DEC=2HGCZFPC=Z/7GCcNGCF=NFCP=45஺,FC=FC:NGFC^'PFC(AAS)GC=PC=2ᵨᦑ26.,⚪ὃ/¦7ḄឋஹḄᑨ´2ឋஹῪ\Ḅᑨ´2ឋஹ\ᔠ:ឋஹᐰ\Ḅᑨ´2ឋtµ¶⌕ὃy¸¹Dᐵtµ⚪ᐵ.25.713½᪆ூᑖ᪆௃m1S¾¿᪷W7ÀÁᱯyᑭᵨÃÄ´ᳮÆÇÈÉᓽ=m2SÊ¿ÀyCNÌÍÎxᙊÐ:yG,Ê¿G8,xÀ2:yᓽ*PyÑÊ¿F2ÀyMÌÍÎxᙊÐ:y£yÊ¿஺Eᓽ=.ூ௃m1S᪷WÃÄ´ᳮ=tAC=yl22+32=713Ñm2SÊ¿ÀyCNÌÍÎxᙊÐ:yG,Ê¿G8,xÀ2:yᓽ*ᙊPyÑÊ¿K2Ày"ÌÍÎxᙊÐ:yEyÊ¿஺Eᓽ*ᡠ0ÑீCN1CB,NGC8=90஺.•.G8*ᙊḄ¾Ô,(ᫀi23⚓ᐳ48⚓

31...yP*ᙊÑ஺Õᚖ¾×ᑖCM,8.CF=FM,8.NCFD=/EFD,:,E=3EV8.CD=CE.ᦑmiSJi5Ñm2S½᪆.,⚪Ù⌕ὃ/ÚÃÄ´ᳮᙊᕜ´ᳮῪ\Ḅᑨ´Üឋᚖ¾×ᑖឋ⚪ḄᐵÝs¸¹Þßᡈßᡠ¡ḄᙊᕜD⚪Ḅᐵ.(ᫀi24⚓ᐳ48⚓

322022-2023
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33ᓝA?ᙊ2”ᐸU“ᨵ᝞¡¢8¢¡¢15¦§¨Ḅᙊᑁᑗᙊ2ª«”A.3B.5C.6D.87.᝞³5¡´µᨵ¶0Ḅ·¸ᙠ¹ᙊºᱏ4»ᐸ¡ᙊ¼0,¾¡ᡠᙠ¿À¹ᙊbÁÂDஹE,Äs¹20C=5cm,ÈDE=8cm,ᑣ·ḄÉ0A.4cmB.3cmC.2cmD.1cm8.Ìᱥ¿y=x?-Zx+mZ+2mÒᦪḄ⚔ᙠA.Ó▲B.Ó▲C.Ó▲D.ÕÓ▲9.᝞ᙠ×ῪR3O/B?OA=OB=6,Û஺ᙊ¼Ḅ஺஺Ḅ¹22,P¿Z84ḄÝÞßà஺஺Ḅᩩᑗ¿ß0,஺ᑗᑣᑗ¿¢ß஺ḄᨬWA.B.3C.372D.V1410.ädåᦪæ=Û2+᱐+«é0êåᦪ'2=ì+íîḄÓ᝞ᡠ4☢ᨵÕðñòজåᦪyᨵঝåᦪyiḄÓᐵ¿x=—1øùঞqx=-2"åᦪwḄᜧÂ0টÞÝß
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CH3OC.ᑣ¡ᑡᑨ¤HজCQ=MPCঝMC஻0A8®OP=PQOট0Ciᑖ/A0B,ᐸ?§¨Ḅu©ªlwᫀ27⚓ᐳ48⚓

350OBWஹ¬⚪15.ᵨ®¯¬°:2X2-4X-1=0.16.᝞'\²³⍝Ḅ]µ☢·Ḅ᜜>'஺ᙊḄᙊḄ\¹ᑖ.᝞º“'?¼CZ)Ḅ?E"ᙊ஺஺஺
E,Àe8=4,EM=6,Á஺஺Ḅ.17.ὃÃÄÅÆÇÈ\ᙽÃÊᙊ>◌ᘤÍᱏ᝞ᡠÐÈÑÒÓᙽ◌ᘤÍᱏ◤ÁÕÖᙊ.(1)ØᑭᵨÚÛ¨ÜÓᙽÍᱏḄᙊO;(Ýᶇßàáᑏ¯)(2)ᑏÖḄã⌕᪷æH_________________________________________________18.jÄèKéᙠẆë|ᦪy=[x3-2xḄឋî!ᑡ⊤ஹðÀÖÈḄ\(2)°ñx3-2x=-2òᦪ᪷Ḅ²ᦪ6(3)óôᑏÖ|ᦪḄõᩩឋî.ᫀ28⚓ᐳ48⚓

36J'AX19.÷ḄᓝùᜧûÖ᎝ýþÿஹஹᦻஹ᎝ஹஹஹ᎝᰿ஹஹஹᗐ᩽᪶24!"᪶Ḅ$%ᑁ'.ᐸ*+“-.ஹஹᦻஹ”"01☢Ḅ3᪗:“ஹஹஹ”"671☢Ḅ8ᔣ:“᰿ஹஹஹᗐ”";<1☢Ḅ=>.?ᐝABCᐸ*Ḅ“ᦻ”ஹ“”ஹ“”ஹ“”Ḅᦻ!ᑖEFᙠ4HIJKLᑴᡂ᝞PᡠRḄᓱᱏ.C4HᓱᱏU☢VLWᒴYZᙠ[\L]*^_`8aHᓱᱏ,cZde^_`8aHᓱᱏ.(1)?ᐝf`8ḄᓱᱏLḄᦻ!"01☢3᪗Ḅᭆ᳛";(2)jkᵨᑡ⊤ᡈp᪛rPst?ᐝuvwf`8ᓱᱏLḄᦻ!"01☢3᪗ஹ"671☢8ᔣḄᭆ᳛(ᓱᱏyz{ᵨ!|⊤R).ᦻABCD20.᝞P~Z8Cᑁ1Ḅ஺O,BCa~ঞ஺Ḅᑁ5CAE,u8C0EḄ☢.21.᝞Pᙠ~1ḄᡂḄ*ᙶ᪗^AOBḄ⚔ᙳᙠL,ᫀ29⚓ᐳ48⚓

370AஹBḄᙶ᪗ᑖE"A(3,2)ஹB(1,3).(1)CaAOBᔣ¨©3ᓫ«Y¬ᑮAQIBI,ᑣBiḄᙶ᪗:(2)CaAOB°O⌮²┐´µ90஺Y¬ᑮ·A2OB2,jᙠP*v·A2OB2,¸uv²A2Ḅᙶ᪗:(3)ᙠ(2)*Ḅ´µ¹º*»¼OA½¹ḄPḄ☢—.22.᝞Pᙠ¿~N8CQ*AB//CD,NB=90°,AB=AD,N8/DḄᑖ»ÆBCE,ÈDE.(1)▊஺ᙠḄ᜜ᙊL:(2)NAED=NCED,Ìᑨλ஺ÏA/BE᜜ᙊḄᙢ«ᐵ¸▊ᳮᵫ.23.᝞PᡠRᙠ☢ᙶ᪗*/ஹ8xÕLwCஹ஺yÕLw4,C,8ḄØᱥ»ḄaÚᑖCiÏ4D,2ḄØᱥ»ḄaÚᑖC2ᔠᡂaᩩÝÞß»ᡃáâ3ᩩÝÞß»z“ã»”.äåCḄᙶ᪗(0,-ç),M"Øᱥ»஺2+émx2-2mx-3m(w<0)Ḅ⚔+(1)u/ஹ8wḄᙶ᪗:(2)u4C,8ḄØᱥ»GḄîᦪ⊤ðñ.(3)òu“ã»”ᙠ¿ó▲Lõᔲ÷ᙠaP,ù¬APBCḄ☢úû÷ᙠuvüḄᙶ᪗ýAP8C☢Ḅþ:ûc÷ᙠj▊ᳮᵫ.ᫀ30⚓ᐳ48⚓

382022-2023
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39AD,NBAC=25°,ᑣNAOEḄ·ᦪA.35°B.30°C.25°D.20°ூ9:ᫀ௃Dூ=>௃>C•••º»N8Cᐸ¡⚔£Cᢥ¥¦┐]ᔣ©ª90஺sᑮRtADEC,8.AC=CD,ZCDE=ZBAC=25°,.•.»4CZ¼Ὺ¡¾¡¿AZCDA=45°,8.ZADE=ZCDA-ZEDC=45°-25°=20°.ᦑ⌱D.£ÀC⚪ὃ©ªḄឋ¼Ὺ¡¾¡¿ḄᑨqÄឋÂÅÆᔜឋÂÈÉ>⚪ḄᐵÊ.4.᝞AB஺OḄËC,DᙊÍ£±²AC,BC,AD,CD.Î/CAB=55஺,ᑣNADCḄ·ᦪA.55°B.45°C.35°D.25°ூ9:ᫀ௃Cூᑖ᪆௃ÏtRtZXABC,ytNBḄ·ᦪᵫᙊᕜ¡qᳮᓽFÒtNADCḄ·ᦪ.ூ=>௃•.ZB஺஺ḄËZACB=90\-,-ZCAB=55°,N8=35°,:.ZADC=ZB=35\ᦑ⌱C.:ᫀ³32⚓ᐳ48⚓

40⚪ὃᙊᕜ¡qᳮ¼ÓᐸÒÔ>⚪ᐵÊGÕᮣ×ᵨᙊᕜ¡qᳮÓᐸÒÔ.5.ᙠØÙÚ᧡•Ü|ÝÞᑮßàᔊâãäCåæḇஹéêëஹᖆíîஹïíἔஹᡂᔡóôõö÷ßàãäøùᑖúᑏᙠßüýᐰÿḄᓱᱏᓱᱏḄᱥᖆḄᭆ᳛3124A.—B.—C.—D.5555ூ)*+ᫀ௃Cூ./௃/0ᙠ23ḇஹ678ஹᖆ9:ஹ;9ἔஹᡂᔡ?@5BᖆḄᨵ22.♦.ᙠE5ᑗᑮḄᱥHᖆḄᭆ᳛=—.ᦑ⌱C.6.MNOPQRᡃTUVᑁX᩽HZ[Ḅᦪ]^℉.`ᨵaᑡᡂc“eᨵfghiᓝBhkfXᙊmnop”ᐸs?“eᨵtuvuw᝞yfztu{|H8hi|tu{|H15hktuvuwXḄᙊwᑁᑗᙊtmp”A.3hB.5hC.6hD.8hூ)*+ᫀ௃Cூ./௃⚪/᪆0᪷fiᳮ0{H482+152=17,ᑣtuvuwXḄᙊwᑁᑗᙊmᔆ==3hᓽtmH6hᦑ⌱C7.᝞y{ᨵḄt¡ᙠᙊw¢ᱏ£ᐸ{ᙊ¤0,¦{ᡠᙠt¨©ᙊª«¬DஹE,¯m0C=5cm,²DE=8cm,ᑣtḄ³A.4cmB.3cmC.2cmD.1cmூ)*+ᫀ௃B+ᫀ´33⚓ᐳ48⚓

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42BpA.V?B.3C.372D.714ூ)*+ᫀ௃Dூ./௃/0º»஺åஹ஺஺.஺஺Ḅᑗ¨஺஺ë஺ì᪷fiᳮå஺2=0å2-஺02,•.•åî¨ïå°ᨬzìOA=OB=6,8.AB=6OP=JZ2=36"."OQ=2,.PQ=y]OP2-OQ2=714-ᦑ⌱D.õ0É⚪ὃÍÎᑗ¨Ḅᑨ©ឋø.Ñᵨᑗ¨ḄឋøᩭÄÅÆPᡈûüعýþ¨º»ᙊ¤Ãᑗᑭᵨᚖ᪀⌼ᩭᜐᳮᨵᐵᡂ.10.ᦪyi=ax2+6x+c0!"ᦪ/=$+஻&0!Ḅ()᝞(ᡠ,-.☢ᨵ01234জᦪyᨵ6ঝᦪyḄ()ᐵ89x=-l=>ঞ@x=-2A-ᦪ”Ḅ6ᜧ80টEFGH“-0!Jᚖ8xKḄ9L"Ḅ()ḄNGᑖPQC,D,@GCT8G஺.VA-WḄX6Z[W\-3ᡈW_-1.ᐸabcḄ[!dᫀf35⚓-ᐳ48⚓

43জটC.ঝঞD.ঝটூbcdᫀ௃Dூop௃p4•••ᦪyLar+bx+c0!Ḅ()Ḅuvᔣ.--ᦪwᨵᨬz6,ᦑজ┯}~ᦪ()ᦪaḄ()ᐵ89x=-1=>-ᦑঝbc~@--2A-ᦪḄ6z80,ᦑঞ┯}~@x<-3ᡈx>-lA-ᱥ9ᙠ9Ḅ.V-ḄX6ZQ4<-3ᡈ"7>-1,ᦑটbc.ᦑ⌱D.G4⚪ὃᦪ().GḄᙶ᪗ᱯᦪ()-ᵨᦪ().GḄᙶ᪗ᱯᦪp᪆[p⚪Ḅᐵ.<ஹ>?⚪11.᝞(-ᙠᙊᑁ¡0¢£ABCDa-NA,ZB,/CḄ§ᦪ¨©Q44345,ᑣNDḄ§ᦪ[ூop௃•••/A,ZB,NCḄ§ᦪ¨©Q44345,.•.¬/A=4x,ᑣNB=3x,ZC=5x,•.•0¢£ABCD[ᙊᑁ¡0¢£-dᫀf36⚓-ᐳ48⚓

44AZA+ZC=180°-ᓽ4x+5x=180°,p¯x=20஺,NB=3x=60°,.".ZD=180°-60°=120°,ᦑdᫀQ120஺.12.z°±Ꮇ"᱄´ᙠµ¶·G¸᯿-º»¼W½ᡂ¾¿᣸-z°ាÂÃᢸḼ᱆᱆J½ᙠ᱆᱆Ç¢Ḅᭆ᳛[;ூbcdᫀ௃-3ூop௃p4¾ᑗÌḄÍÎ[4z°᱄Ï´Ï-z°´Ï᱄Ï-᱄Ï´Ïz°-᱄Ïz°´Ï-´Ï᱄Ïz°-´Ïz°᱄Ï-¾ᐳ6ÐÌ-z°ាÂÃᢸḼ᱆᱆J½ᙠ᱆᱆Ç¢ᨵ2ÐÌ-ᦑᭆ᳛=Ñ=¾.ᦑdᫀQ¾.13.Ò¾ÓÔÕWḼ▮×ØÙḄÚÛyᓫT4m!LØÙÞßxᓫT4s!¨áḄᦪᐵâ[y=60x-1.5x2,ãÓÔÕWḼ▮×ØÙ_måÌæ.ç.ூbcdᫀ௃600.ூop௃᪷éÕWêØÙᑮaìḄíîï[ØÙḄíî-ᓽ[ᦪḄ6.V-1.5<0,ᦪᨵ6./.sᨬᜧ6=600,ᓽÕWḼ▮×ØÙ600ñåÌaì•4x-1.5!14.òN408,ó(.ôõ14ᙠ.öX¾GG■Qᙊø-ùQúûüúᙊ-ᑖPN஺IஹOB)*Pஹ஺~ôõ24EGMóPQḄᚖ9NÿPQCO3OC.ᑣᑡᑨজCQ=MPC©MC//OA-,ঞOP=PQOটOCᑖ408,ᐸ"#$Ḅ&'()*+,ᫀ.37⚓1ᐳ48⚓

45ூ#$,ᫀ௃জঝটூ67௃7&891./OP0=9O஺1OA1PQ.,8MCLPQ,J.OA//MC,=>ঝ#$®'8OA//MC,8.ZAOC=ZOCM."8OM=MC,8.AOCM=AMOC,8.ZAOC=ZCOM,'-PC=CQজট#$Ḅ@ᦪBC1/D஺0ENP0OFG1.../D஺஺HIJKNPQO,.஺DHIJKP0,=>ঞ┯N.OPᡠR#$Ḅ=>ᨵজঝট.ᦑ,ᫀ&জঝট.UV⚪ὃYZ[\"Ḅ]ᩖ[\ஹ`ᑖḄJaஹᙊᕜ`JᳮefgḄᑨJfឋi1᪷k[\Ḅlm⌲Iᑖ᪆pᩩ=>Ḅ#Nr7⚪Ḅᐵt.uஹ7,⚪15.ᵨyz{7zm2xz-4x-l=0.ூ#$,ᫀ௃X|=Y5+1,x2=l—Y622ூ67௃⚪ᑖ᪆᪷kyz{7zmᓽ.⚪7᪆7⚗12x2-4x=\,⚗ᦪᓄ&11X2-2X=~,213yz1x2-2x+l=—+1,(x—I)2=—,22,1.La2..V6V6"=1+X=1-2T,ᫀ.38⚓1ᐳ48⚓

4616.᝞\rI⍝Ḅ☢1Ḅ᜜re0&ᙊḄᙊḄI¡ᑖ.᝞¢Mr஺஺"£C஺Ḅ"1ᙊ஺¤஺஺E,¦§C£>=4,EM=6,ª஺஺Ḅ«9.ூᑖ᪆௃¬0C,ᵫᚖ9Jᳮ:ᓽªḄ«9.ூ67௃7¬0C,CMD•.•஻r஺஺£CDḄ"1᪷kᚖ9JᳮEMLCD,´8=4ᑣᨵCM=--CD=2,2µᙊḄ«9rx¶1ᙠRsCOM"1ᨵOGnCM+OM2,ᓽ^—22+'6-x+2.7X——>3ᡠeᙊḄ«9¼r3V⚪ὃYḄrᙊ1½¾¿Àᚖ9Jᳮr7⚪Ḅᐵt.17.ὃÁÂÃÄÅZIᙽÁÇᙊ◌ᘤÊᱏ᝞\ᡠÌ1&ZÍ]Îᙽ◌ᘤÊᱏ1◤ªÐÑᙊ.'1+ÒᑭᵨÔÕ[\$JÎᙽÊᱏḄᙊO:'Öᶇ[\ØÙ1Hᑏ[{+'2+ᑏÑ[\Ḅ⌕᪷k.,ᫀ.39⚓1ᐳ48⚓

47ூ#$,ᫀ௃Üᚖ8ᑖPḄÝÜÞßḄàáâKHᙠãHPḄu$JIᙊ.ூ67௃⚪ᑖ᪆(1)8ᙠᙊÊᱏP$J31äå[ÑÞᩩᚖ8ᑖḄ¤Ñᙊᓽ(2)ᑭᵨᚖ8ᑖḄឋiÑᙊḄᙢç.⚪7᪆7(1)᝞\ᡠÌ1஺ᓽ&ᡠª[Ḅᙊ;(2)[\Ḅ⌕᪷kÜᚖ8ᑖPḄÝÜÞßḄàáâKHᙠãHPḄu$JIᙊ.18.éÂêëìᙠẆîïᦪð=ñ*3-2óḄ\ôÝឋiõ1öᑡ⊤ஹø¦ÑZ\ôḄI6¡ᑖ.X-4-3.5-3-2_101233.54381178y87~60118323483348~632(1)Ò⊡ᐰïᦪ\ô(2)zm1x3-2x=-2ûᦪ᪷Ḅᦪ&_______6(3)ýþ\ô1ᑏÑÿᦪḄᩩឋ.ᫀ40⚓ᐳ48⚓

48ூᫀ௃1᪆233ឋ᪆.ூ௃⚪ᑖ᪆1ᵨᐝ%Ḅ&'()ᓽ+,-./2᪷1ᦪy=^x3-2x78'y=-2Ḅ9:Ḅ;ᦪᓽ+,-./;63᪷1ᦪ=ᓽ+,-./.⚪᪆஺⊡ᐰᦪ=᝞ᡠC(2)᝞1,ᫀ41⚓ᐳ48⚓

49I-8'y=-2Ḅ=ᵫ=Kᦪy=1x3-2xḄ=78'L-2ᨵN;9:6PQ,X3-2X=-2Rᦪ᪷Ḅ;ᦪS3,6(3)ᵫ=K1ஹUᦪᙠRᦪXᑁZ[ᨵ\][ᨵᨬ_\2ஹUᦪᙠx<-27x>2,ybxḄcᜧecᜧ3ஹUᦪ=fg:4ஹUᦪ=ᐵig:jk.l⚪ὃnopqᦪḄឋஹpqᦪḄ=ஹ=rstᐗpqPQḄvw᪷x᪷1⚪y-ᦪḄ=z⚪Ḅᐵ{.19.}Ḅᓝᜧ-᎝ஹஹᦻஹ7᎝ஹxஹஹr᎝᰿ஹஹஹᗐ᩽7᪶24;z᪶Ḅlᑁ.ᐸ¡“ஹஹᦻஹ7”z¤¥☢Ḅ§᪗“ஹxஹஹr”z©ª¥☢Ḅ«ᔣ“᰿ஹஹஹᗐ”z;®¥☢Ḅ¯°._ᐝ±²³ᐸ¡Ḅ“ᦻ”ஹ“7”ஹ“”ஹ“x”Ḅᦻᑖ´µᙠ4¶·¸¹ºᑴᡂ᝞ᡠCḄᓱᱏ.³4¶ᓱᱏ¿☢ÀºÁᒴÃÄᙠÅƺǡbÈÉ«t¶ᓱᱏÊÄËÌbÈÉ«t¶ᓱᱏ.(1)_ᐝqÉ«ḄᓱᱏºḄᦻz¤¥☢§᪗Ḅᭆ᳛z;(2)ÏÐᵨᑡ⊤rᡈÔ᪛Ör×Ø_ᐝs-qÉ«ᓱᱏºḄᦻz¤¥☢§᪗ஹz©ª¥☢«ᔣḄᭆ᳛(ᓱᱏÙk+ᵨÚ⊤C).ᫀ42⚓ᐳ48⚓

50ூᑖ᪆௃1᪷1ᭆ᳛ÛÜÝᓽ+2ᐜÔ᪛Ö,-tᑗ+àḄ.áᯠÃ᪷1ᭆ᳛ÛÜÝᓽ+.21ூ௃1_ᐝqÉ«ḄᓱᱏºḄᦻz¤¥☢§᪗Ḅᭆ᳛zt=7422Ô᪛Ö:a一次ABCD**•-I'.X二取BcDAcDABDABCᐳᨵ12åæçᐸ¡èᔠ⚪yḄᨵ8å,êᓫḄᭆ᳛.20.᝞xíNîï48cᑁ)iñòS1Ḅ஺O,ô8cStí0஺Ḅᑁ)õï8CDE,sõï8CDEḄ☢.ூᫀ௃6ூ௃⚪ᑖ᪆()8஺ᵫxíNîïḄឋ7ᙊᕜîûᳮ,-N8DC=NA4C=60஺,ᵫõïḄឋ7ᙊᕜîûᳮÿ80஺஺Ḅ&>2,CD=-BD=\,ᵫ2ᳮ8cḄᓽBCDEḄ☢.⚪᪆""#$8D,᝞'ᡠ)"*ᫀ,43⚓ᐳ48⚓

51VLABC1234,/.ZBAC=60°:/BDC=/BAC=600.f•628CDEN8CD=90஺.380஺஺Ḅ/஺?஺=90஺-60஺=30஺,8.BD=2,CD=OBD=1,:.BC=JBD2-CD஺=6,8CDEḄ☢=8CS=GX1=G;<"=⚪ὃ?@AB2Cᙊஹ12F4ḄឋHஹI30஺4Ḅ4F4ḄឋHஹᳮஹᙊᕜ4ᳮ1KLMNOPQ12F4ḄឋHᵫᙊᕜ4ᳮR8஺ᜐᳮᡂUḄᐵW.21.᝞'ᙠ2Y1ḄAZ[ᡂḄ\]^_`4ᙶ᪗cAAOBḄ⚔;ᙳᙠ];f,;OYg;;AஹBḄᙶ᪗ᑖiA(3,2)ஹB(1,3).B/A//00X(1)jaAOBᔣlmn3oᓫqrᑮtAQB”ᑣ;B,Ḅᙶ᪗YM(2)jAAOBv;O⌮x┐z{90஺rᑮtAQB”|ᙠ'^}tAQB?,~x;A2Ḅᙶ᪗YM(3)ᙠ(2)^Ḅz{^OAḄ'Ḅ☢—.ூA*ᫀ௃(1)(1,0)M(2)(—2,3)M(3)—71.4ூ௃⚪ᑖ᪆"(1)᪷mnḄឋHflmnᙠᙠ;Ḅᙶ᪗fᙶ᪗fflM(2);O}OAḄᚖᙠf☢;A2OA2=OA,ḄZ;B2#$A?ஹB2ஹOtA2OB2,ḄM*ᫀ,44⚓ᐳ48⚓

52(3)᪷ᩩ¢ᡧA20AḄ☢ᓽ.⚪᪆"(1)ᵫ⚪¦Bi(1,3-3),AB1(1,0).(2)᝞'জ;஺}OAḄᚖᙠf☢;A2OA2=OA,ঝḄZ;B2#$A2ஹB2ஹOtA2OB2,...tA2OB2ᡠ}Ḅ'.ᵫ}'A2(-2,3).(3)ᵫᳮOA=JI5,907rxi3133OAḄ'Ḅ☢Y"--------=°.3604ὃ;"1.}'-z{±ᣚM2.ᡧ☢Ḅ³´M3.ᙶ᪗µ'±ᓄ-mn.22.᝞'ᙠ62^AB//CD,NB=90°,AB=AD,Ḅmᑖ·8c¸E,#$DE.(1)▊»;஺ᙠtZBEḄ᜜$ᙊfM(2)NAED=NCED,ᑨ¿CDµA/BE᜜$ᙊḄᙢqᐵc~▊»ᳮᵫ.ூA*ᫀ௃Â᪆ூ௃⚪ᑖ᪆"(1)᪷⚪^ᩩ¢R»tZO8tZ஺஺ᑮR;஺ᙠtN8EḄ᜜$ᙊfM*ᫀ,45⚓ᐳ48⚓

53(2)᪷NC=90஺noNCED+NCDE=9Q஺OᑭᵨNODE=ND£C,KZODC=ZCDE+ZODE=ZCDE+ZCED=90°,ᓽCOµt/BEḄ᜜$ᙊᑗ.⚪᪆"R»"(1)"/8=90஺.../£"ZUBE᜜$ᙊḄ.NEḄ^;஺ᑣ஺YᙊÈ#$஺8ஹOD.ᙠCtNOZ)^\'AB=AD,ZBAC=ZDAO,AO=AO,8.^AOB^^AOD.8.OD=OB,.•.;DᙠMBEḄ᜜$ᙊf.(2)COµtZ8EḄ᜜$ᙊᑗ.ᳮᵫ""."AB//CD,ZB=90°...ZC=90°,AZCED+ZCDE=90°.É,?OE=OD,AZODE=ZOED.cNAED=NCED,O.NODE=NDEC,8.NODC=NCDE+NODE=NCDE+NCED=9஺஺V8.CDµt/8EḄ᜜$ᙊᑗ.;<"⌕ὃ?@µᙊḄᙢqᐵcC;µᙊḄᙢqᐵc.ᑭᵨF4ᐰ1ḄZᩭR»1ḄC1Ḅ4ᵨḄZÍ⌕ÎᮣÐÑᵨ.~Ò᪷ᙊÈᑮḄÓÔᩭᑨ¿µᙊḄᙢqᐵc.23.᝞'ᡠ)ᙠm☢4ᙶ᪗c^/ஹ8YxÕfÖ;Cஹ஺YyÕfÖ;;/,C,BḄ×ᱥḄÙᑖGµ;4D,5Ḅ×ᱥḄÙᑖC2[ᔠᡂᩩÛÜÝᡃßà3ᩩÛÜÝáY“ã”.åK;CḄᙶ᪗Y(0,--);M×ᱥC2"y=mx2-2mx-3m(w<0)Ḅ⚔;"(1)2ஹ8Ö;Ḅᙶ᪗M(2);æC,8Ḅ×ᱥCiḄçᦪ⊤êë.(3)ì“ã”ᙠ,6í▲fÒᔲðᙠ;P,8cḄ☢ñòðᙠ;PḄᙶ᪗ótP8C☢ḄôMòõðᙠ|▊»ᳮᵫ.*ᫀ,46⚓ᐳ48⚓

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S=—,wSPxᙶ᪗Zyxz±{2-|i}=—21622228315wSPᙶ᪗Z-------28~I⚪Z?@AᦪḄᔠᵨ.ᙠz1{ᱥ᪆ᑖ/ஹ8Ḅᙶ᪗ᙠz2{ᱥGḄ᪆ᵨ5Ḅᙶ᪗⊤94⚪Ḅᐵ.⚪ὃᔠឋ〉.mᫀo48⚓ᐳ48⚓