110. ᙠRt/kABC /.CAB=90",AB=8,AC=3,n⚔AஹBᑖªᙠx☢;<ᙶ᪗Ḅ ØஹxØḄCÙØÚà Cᙠ▲ᑁ ÜÝOC,ᑣOCḄ2Ḅᨬᜧß11.ᦪy=¨ àáZxḄâßã&.12.ᨵ9ᦪº3ஹ5ஹ7ஹaஹ4,äåæḄxᙳᦪ&5,çèé9ᦪºḄPê&.13.ëìᑖ᪆ᑡᦪºî0,-V3,V6,-3,2V3,-V15,3Ì … ᪷ºᦪºᑡḄ_ñ½ᑮ16BᦪºY&òä◤ᓄ".14. CP=ABC EᙠE8C NB4E=n.äᙠAB,CZᑖªöF,G,FG=AE,FGAE§øO,çè4GOEḄᜧ¨.15.ùúî|ü3|-m16.RPSîxx-1=3x-l.17.ᙠ☢ḄCP=ýþ KBCP=ḄE2&1,CP=Ḅ⚔ÿ ᙠ ⚔ᑖ 3,V10,5, Ḅ☢".18.ᐵ&xḄᐗ)*+,-2m+l2x2+4mx+2m-3=0-5267="9 +,Ḅ:ᦪ᪷=-52>+,ᨵ@ABCḄ:ᦪ᪷ :ᦪḄDEGH
219.ᙠRtZiABC4c=90J4=30D,E,KᑖLAC,AB,BCḄMNEQ,EF.(1) OHPOEFCLQ=(2)ᵨSTUḄVWᙠXNABCḄYᑖZ(\ᶇX^_AᑏXa).20. cdefgᦻᓄj᪥lmnop1000qrstuvwxᑏᜧz {|rs~xᑏz{ᑖrsḄᡂ(ᑖDᦪᑖ 100ᑖ)gᑖ᪆ ᑴXᡂ⊤Hl) Pᑖᦪ50,5 60.560.5 70.570.5 80.580,5 90.590.5 100.5⚣ᦪ1630m8024⚣᳛0.080.15025n0.12(1)*᪵Ḅ᪵ ,⊤m=.n=(2) ᪵ᡂḄᦪᙠlᑁ=(3)⊡ᐰ⚣ᦪᑖ¡V+=(4)>ᡂ¢£80ᑖ ¤¥¦§¨᪥noprsvwxᑏ¤¥Ḅ©ᦪ.⚣ᦪᑖᑖ PDHBG.
3EGD(1)ªᑨ¬P048G ¯°ᱯ²ḄP ³´ᳮᵫ=(2)>B=8,AD=4, PHBGḄ☢".22.j¹ºᖪ¼├¾°¿ÀÁ°ᖪÁḄᡂÃ10ᐗ/ÅÆÇ├¾ÃAÈ&ᡂÃÉᱥÃËÌÍ°ᖪÁḄ├¾ÃAÎ&16ᐗ/ÅÐÑÒÓ¨ᖪÁÔᜩḄ├¾y(Å)×├¾Ã%(ᐗ/Å)ÙÚḄÛᦪᐵÜᡠß.(1) y×xÙÚḄÛᦪᐵÜà ᑏáâxḄDEG=(2)ÔÅ├¾Ã ãäᐗ9ÔᜩḄ├¾ᑭæ 125ᐗç23.ூé⚪ë1,PA8C£ñL+ML8côḄELCDḄAEYᑖND4M.ூøùúß(1)O´HAM=AD+MC (2)4M=DE+BMLᔲᡂüç>ᡂüýO´=>Aᡂü³´ᳮᵫ.ூþúÿ (3)ABCḄᐸᩩ 2,!"#(1)ஹ(2)&Ḅ'(ᔲᡂ+,-ᑖ/01ᑨ3◤⌕67.
4:ᫀ<=᪆1.ூ:ᫀBூ=᪆=@AஹV05=1V2,ᨬFGH᪷Jᔠ⚪MNBஹOᨬFGH᪷JPᔠ⚪MNCஹM=3,ᨬFGH᪷Jᔠ⚪MNg=2V3,ᨬFGH᪷Jᔠ⚪MNᦑ⌱NB.UVWᦪYᑖZNUVWᦪ&Y[V\]WḄ^ᦪᡈ^J.ᡃabcdefghᩩḄGH᪷JijᨬFGH᪷J.k⚪ὃmᨬFGH᪷JḄnoᨬFGH᪷Jpqcdghᩩ@UVWᦪYᑖZNUVWᦪY[V\]WḄ^ᦪᡈ^J.2.ூ:ᫀCூ=᪆ூᑖ᪆᪷r“tutcdghvwḄxW<yvᜧḄxW{htu|}utu”⌲⌱⚗01ᑨ3ᓽ\1'.k⚪ὃmnᳮḄ⌮nᳮᨵᐵ=⚪ḄᐵᙠynᳮḄ⌮nᳮ.ூ=:=@452+42*62,[0}utuḄtᦑk⌱⚗Pᔠ⚪M.8.22+3242,[0}utuḄtᦑk⌱⚗Pᔠ⚪M.C.l2+I2=(V2),[0}utuḄtᦑk⌱⚗Pᔠ⚪M.0.12+2222,[0}utuḄtᦑk⌱⚗Pᔠ⚪M.ᦑ⌱C.3.ூ:ᫀBூ=᪆ூᑖ᪆⚪ὃmḄᑁuuᐵ᪷rḄᑁu<¢J(n-2)•180<Ḅu<¦360§¨=:.ᐜª«᪷rᑁu<¢Jᑡ1W®¯1Ḅ°ᓽ¯1Ḅᦪ±᪷rḄu<360ᑭᵨ360◀µᦪ\u¶ᦪ.
5ூ=:=@ª{hḄᦪᑣ(n-2)-180°=1440",=
6=10.u@360°+30=36°,ᦑ⌱@B.4.ூ:ᫀCூ=᪆=@•/—4x=1,%2—4%+4=1+4,ᓽ(x—2)2=5,ᦑ⌱C.ᐜb¸ᦪ⚗¹ᑮW®»¼±bW®g½e4,ᯠ¿bW®ÀᑭᵨÁᐰxW¢J⊤#ᓽ.k⚪ὃm=ᐗGHW®-ÅWÆ@ÇᐗGHW®Åᡂ+m)2=ᐔḄJ±ᑭᵨ}ÉVxWƯ={Ê=ᐗGHW®ḄWÆiÅWÆ.5.ூ:ᫀCூ=᪆=@ªxᙳÌÍÎÏḄÐᑖ᳛x,᪷r⚪M\64(1-x)2=50.ᦑ⌱C.ÒᐵÓ@gÍÔḄÕÖx(1-ÎÏḄÐᑖ×)x(1-ÎÏḄÐᑖ×)=ØᙠḄÕÖbᐵᦪÒÙᐭᓽ¯\ᡠ¯W®.k⚪ὃmᵫÝ▭ß⚪àá1ᐗGHW®.ªᓄÔḄÒ4,ᓄ¿ḄÒ6,xᙳᓄ᳛x,ᑣãägHᓄ¿ḄᦪÒᐵÓa(l±%)2=b.6.ூ:ᫀCூ=᪆ூᑖ᪆k⚪å⌕ὃmHæᦪḄឋèHæᦪḄឋè=⚪Ḅᐵᓽᙠy=kx+b& éyêxḄëìᜧík<0é)êxḄìᜧëîw.ᑭᵨHæᦪḄឋèᑨ3ᓽ.ூ=:=@ᙠHæᦪy=-3x+5&k=—3<0,•.yêxḄìᜧëîw
7•**Y1ᦑ⌱C.7.ூ:ᫀCூ=᪆=@ï1 ┦uAABC&AB=13,AC=15,8ceᜧñ4D=12,/ᙠòóABD&4B=13,AD=12,ᵫnᳮ\/ஹ\^BD2=AB2-AD2=132-122=25,/IᑣBD=5,S*ÆᙠRtAABC&4C=15,AD=12,ᵫnᳮ\CD2=AC2-AD2=152-122=81,÷IJCD=9,ᦑBC=BD+DC=9+5=14N+ 2øuó4BC&AB=13,AC=15,8ceñ4=12,ᙠRtAABD&AB=13,AD=12,ᵫnᳮ\\BD2=AB2-AD2=132-122=25,I\ᑣBD=5,DRCᙠRtZ^ACD&AC=15,AD=12,ᵫnᳮ\CD2=AC2-AD2=152-122=81,ᑣCD=9,ᦑBCḄDC-BD=9-5=4.ᦑ⌱@C.ᑖgÊùúû(@┦utu<øutu᪷rnᳮ¯\8CD,±ᵫ ¯18C,ᙠ┦utu&BC=BD+CD,ᙠøutu&BC=CD-BD.k⚪ὃmnᳮbtuḄß⚪üᓄᑮ}utu&ᵨnᳮ=:.8.ூ:ᫀCூ=᪆=@ªwýḄxþ᪷r⚪MᑡW®@ï32-ÿ 20-=560,ᦑ⌱C.ᡠḄᩩ⍝ᑖᑮḄᨬᨬᑣᒕ Ḅ ᑖ !"#᪷%"#Ḅ☢'()ᑡ#+ᓽ-./⚪1⌕ὃ45ᐗ78#+Ḅ9ᵨ;<=Ḅᩩ⍝ᑖᑮᙢ☢Ḅᨬᨬ ?@⚪ḄᐵB.9.ூEᫀD
8ூH᪆ூᑖ᪆@⚪ὃ45JḄឋLஹᐰOPQḄᑨSTឋLUOPQḄᑨSTឋLVWXYJḄឋL H⚪ᐵB.Z[-\4E=^᪷%_`Ḅ-aAE+CF=AB Sb-fcᑨd.ூHEHef3•hA8CD J,-,AB=AD=CD,DC11AB,••=60°,•4BD OPQ • AB=BD,Z.ABD=60°,• DC//AB, Z,CDB= ABD=60°,:.Z.A=Z-CDB,• EBF=60°, • Z^ABE+ EBD= EBD+ DBF,:.Z.ABE= DBF,ᙠjABEADB^;Z-A= BDFAB=BD,Z.ABE= DBFAAE—DF, AE+CF=DF+CF=CD=AB.10.ூEᫀB
9@⚪ὃ45klSᳮnQPQḄឋLXYnQPQḄឋLஹopcqrs_ Htu⚪ḄᐵB.11.ூEᫀ%>1yx2ூH᪆H᪷%⚪|\ᑐ120y%2#0,H\x>1yx!2.ᦑEᫀx>1y*2.᪷%78᪷)Ḅ#ᦪᜧᡈO0,ᑖO0ᑡ)ᓽ-\H.@⚪ὃ4Ḅaᑖ)ᨵ|ᑖ078᪷)Ḅ#ᦪ ᦪ.12.ூEᫀ2ூH᪆H5=j(3+5+7+a+4),***ci=5X5—3—5—7—4=6,1".§=£[(3—5)2+(5-5)2+(7-5)2+(6—54+(4-5)2]=2.ᦑEᫀ2.ᐜᵫᙳᦪ 5aḄbª᪷%#«Ḅ()nf-\.@⚪1⌕ὃ4#«Ḅ#¬.H⚪ḄᐵB opḄ9ᵨ#«Ḅ().13.ூEᫀ-3V5ூH᪆ூᑖ᪆@⚪1⌕ὃ45®¯Ḅᑖ᪆ஹ°±ஹ²³´µ¶·¸Ḅ¹⚪º »ᡠ¼Ḅᦪ%½#¬¾¿ᑖ᪆»ᱯÁbḄ¶·°±qºឋḄ¶·.ÂÃÄÅ-a¶· ᪷ÆḄÈÆÉU᪷Æ Ḅ#ᦪÊ8 (-l)+x0,(-1)2+1U(-l)3+1V3V2-(-l)n+173x(n-1),-É\ᑮÎ16!ḄEᫀ.
10ூHEHᵫ⚪|a⍝⚪Ï;Ḅᦪ%-Éᳮ(-1)1+1V33TO,(-1)2+1V3VT,•••(-l)n+1/3x(n-l),17Î16!Eᫀ(-1)16+1,3X(16-1)=-3V5.ᦑEᫀ-3.14.ூEᫀ90°ᡈ(90-2n)°ூH᪆HÃGcGH1ZBH,ᑣÑ4HG==90,•••hABC o#***AB=AD,Z-BAD— D—90°,•hAUG AD=HG,•-AB=HG,ᙠRtZkGH^;(AE=GFUB=GH' ••RtAABERtAGHF(HL), • BAE= HGF,•4HGF+4HFG=90°,জÓ8^ÔÖ1,4?/+449=90°,44^=90°,Z.GOE=Z.AOF=90°,Ö1ঝÓ4FVBFÔÖ2,
11AD:B1——7---------------1CAÖ2 ^LFAO+Z-HFG=90°,v BAE=n°,4HFG=90°—Ù°, Z,GOE=/LAOF=(HFG=Z-OAF=(90-2n)°,ᦑEᫀ90ᡈ(90-2n)°.ÃGcGH_L4BH,᪷%“ÑZ[Rt4BEPRtGHF,ᑖÜÝÞজÓ4F>B^Ô¾ßZ[/á4+Z.AFO=90°â-ঝÓ4F?ᵨ+:AB+ஹ()ᑖ +ஹD)+ஹE+Fᔠ ḄᱯI⌱Kᔠ〉ஹMNḄ+O ⚪ḄᐵQ.
1217.ூᫀ UᡠW X4BC\ᡠ,,S=4X4—2*3X4—43,x3xl=4.5.hABCூ ᪆Agh\1i3᪀⌼lh\m3i4\Agh᪀⌼lh\5,ᓽ "ᑮᡠ,pgqm᪷spgq☢uD)vᓽ .w⚪/⌕ὃ2xyz{ᳮ}ᵨ~UvᐵQ⌕ᳮ ⚪⚪ᡠUqḄ⌕,ᯠU.18.ூᫀ ()m=g \/+x-1=0,I2—4x(-1)=5,_-1+V5••X=_,(),ᐵXḄ3ᐗ56 (2m+l)x2+4mx+2m-3=0ᨵḄᦪ᪷02m+10,ᓽ(4m)2—4(2m+l)(2m—3)>0zn3¡m>-.m.-1ூ ᪆()¢"Ḅ¤¥ᐭm ᓽ §()ᵫ ᨵḄᦪ᪷᪷s᪷Ḅᑨª) "ᑮᐵ«Ḅ)ᑣ ,""Ḅ¬¤®.-⚪/⌕ὃ23ᐗ56 ᪷Ḅᑨª)¯,᪷D)Ḅ}ᵨ9:;<,᪷D)¯᪷Ḅᑨª)~᪷ḄᦪḄᐵ°O ⚪ḄᐵQ.19.ூᫀ(1)²³ vD,E,µᑖªOAC,AB,BCḄIDE//FC,EFIICD,••¸hq8EFCO¸hq•••%DCF=90°,.•¸hqOEFCO½q.
13(2)¾BEC,OF¿I0,ÀÁBO,ÀÁBOᓽ\ᡠ,.Bூ ᪆(1)✌ᐜ²³¸hqEFCO¸hqm᪷sᨵ3gOAgḄ¸hqO½qᓽ ᑨÄ.(2)¾BEC,OF¿I0,ÀÁ8ᓽ .-⚪ὃ2pgqÅÁ{ᳮ½qḄᑨ{iឋÇhpgqḄᑨ{iឋÇÈÉ ⚪ḄᐵQO9:;<-ÈÉÊὃ?ὃ⚪Ë.20.ூᫀ200500.4¸ூ ᪆ (1)Ì6Í«Î2ḄÏÐᦪO 16+0.08=200(Ò);m=200x0.25=50,80_."Ô=°4ᦑᫀ\ 200,50,0.4§(3)w᪵-ᡂØḄÅᦪÙᙠ۸ܧᦑᫀ\ ¸§(4)⊡ᐰ⚣ᦪᑖàAUá:(4)1000X(0.4+0.12)=520(â). ãäåÏÐæçèᑏ78êëḄâᦪᨵ520â.
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15%EBD,᪷{; ḄឋavTABCDஹDF//BE,ᓽ HBG$IJ |᪷{IJ}Ḅឋa~ᔠ4BD=NEBD,ᓽvT=NHBD,ᵫbdnb vTDH=BH,ᵫᓽvHBG$% (2)/DH=BH=x,ᑣ4H=8-x,ᙠRtAADHEᑭᵨhi_ᳮᓽvTᐵxḄᐗᓽvTxḄ|᪷{% Ḅ☢Xᓽvq% OHBGḄ☢X.22.ூᫀ(1)KyexḄᦪᐵYy=kx+b,(10,30),(16,24)ᐭT:TS=40ᦑyexḄᦪᐵYy=-x+40(1016ᙠRtEFM⚣tECME,(EF=CE[EM=EM' •FM=MC,AM=AF+FM=ADMC©±·¸rAEஹBCஹN,1(2),.• ABCD$ •AD//BC.:.Z.DAE= ENC,•4EIᑖ¹1M, • /L.DAE=NAME. ENC=4MAE. MA=MN.ᙠ40ENCEE(Z.DAE= CNE\/.AED=Z.NECWE=CE • ADE^LNCECAAS),:.AD=NC.•.MA=MN=NC+MC=AD+MC.(2)AM=DE+BMᡂ.©·º4DE»³A¼£┐¾¿90TÀIÁÂABÃ1(3),1(3).• BF—DE, F=Z-AED.,:ABDC,AZ.AED=Z.BAE.
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18©±ãIJ}E³ßâäᩩæ¸rAEஹBC´³N,1(1),᧕AADEèANCE,ãyᨵZD=CN,◤·4M=NMᓽv.(2)©á²¾¿vf«⍝âäcd ᐰbãyn° 9b~ᔠª«ᩩᓽvq©±Ã414E´CBḄ¸r}³F,᧕4M=FM,◤·FB=DEᓽv⌕FB=DE,◤·ëìᡠᙠḄâäcd ᐰbᓽv.(3)ᙠ2(1)Eí᯿(1)EḄ·ïðᓽvᑮ/1M=4D+MCÈᯠᡂËᙠ2(2)Eòᵨשóí᯿(2)EḄ·ïðᓽvᑮ4M=DE+BMÍᡂË.ூ(1)(2)ôᫀ;(3)(3)জ~ÇAM=4D+MCÈᯠᡂË.••• ABCC$; AD//BC.:.Z-DAE=%EPC.•4EIᑖ4ZZ4M, ••/L.DAE=ᓃMAE. Z.EPC=4MAE. • MA=MP.ᙠPCEE\LDAE=Z.CPEZLAED=%PECDE=CEZMDEöPCE(A4S). •.AD=PC...MA=MP=PC+MC=AD+MC.ঝ~Ç4M=DE+BMÍᡂË.·ᎷKAM=DE+BMᡂË.²³A4Q_L4E,´CBḄ¸r}³Q,2(2)ᡠ.
19AD±B----------------------------------A/02(2)•• ABCø$; • BAD=ZD=Z,ABC=90°,AB//DC.-AQLAE,/.Z.QAE=90°. •&AB=90°ᓃBAE=/-DAE. .z_Q=90°-/,QAB=90°4DAE="ED.•♦ AB//DC, • AAED=4BAE.• •Z.QAB=Z-EAD=Z-EAM,:.Z-AED=/-BAE=ᓃBAM+Z.EAM=4BAM+Z.QAB=Z.QAM. •.Z.Q=Z.QAM. AM=QM.:.AM=QBBM.vAM=DE+BM,:.QB=DE.ᙠ48Q4DEEZ.QAB=/LEAD ABQ=CD=90°BQ=DE•••48Q-40E0L4S). •.AB=AD.eᩩUABAD“úûᦑᎷKÍᡂË.AM=DE+BMÍᡂË.
