江苏高考数学压轴题精解

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ὃᦪ⚪⌱100⚪᦮᱐1.ᦪ=('g(x)=/(x)—ax,xe[l,3],x-1,2ᦪ/(%)=x-ln(l+x),ᦪᑡBa“DEF0<%<1,%+1=/(%)/ᦪᑡB4DEF4=/,%N/("+l)dJKeN*.*MN26(I)02WJX>YZ஻!.+1n+i223.=>\]ᙠR_Ḅᦪ/'(x)`WEFN(1)/(X,+x)+f(x-x)=2f(Xj)cos2x+4tzsin2x(xxeR,a&iᦪ)/2x222v2(2)/(0)=/(^)=l/(3)UWJ|/(x)|W2.44*N(I)ᦪ/(x)Ḅ,᪆./(II)iᦪaḄm"o.224.4pJᨴ),6஺,,s)tuᙊw+0=1(4ு஻ு஺)_ḄxyJxb~/QEF(z,1)•(|,22)=0,uᙊḄ}~᳛e=9•J&2,0&ᙶ᪗y.baba2(1)*uᙊḄ/(2)QABuᙊḄᯖyF(0,c),(c&ᯖ)J*ABḄ᳛kḄ"/(3)NAAOBḄ☢tᔲ&\"᝞tJM/᝞ptJ¡ᳮᵫ.5,=>ᦪᑡB4Dᔜ⚗&N12ஹ1122ஹ111222ஹ……ஹ11……122……2……©©஻”(1)M«©ᦪᑡḄ¬⚗tx©®¯᦮ᦪḄ.(2)*«©ᦪᑡ±n⚗²³S..226ஹ£ஹµᑖ·tuᙊ]+?=1Ḅ¸ஹ¹ᯖy.

1(I)QPtºuᙊ_Ḅ©»yJPFPF2Ḅᨬᜧ"³ᨬ$"/(II)tᔲ¼ᙠyA(5,0)Ḅ/#uᙊ½¾p`ḄxyCஹD,¿ÀIF2cITFzDI?Q¼ᙠ,*/Ḅ/Qp¼ᙠJ¡ᳮᵫ.7ஹ=>»ᙊ\yP(1,0),Á#\L:x=-1®ᑗJyCᙠ/_.(1)*»ᙊᙊ~ḄÃÄMḄ/(2)yP,Á᳛&-V3Ḅ#ÅM®½¾A,Bxy.(i)N^ABCÆᔲ&Ç|ÈÉQÆJ*yCḄᙶ᪗/QpÆJ¡ᳮᵫ(ii)UAABC&ÊÈ|ÈÉWJ*«ËyCḄÌᙶ᪗Ḅm"o.8ஹ\]ᙠR_Ḅᦪy=f(x),f(0)\0,Ux>0WJf(x)>l,ÁÍÎÏḄaஹb—R,ᨵf(a+b)=f(a)f(b),(1)*MNf(0)=l/(2)*MNÍÎÏḄxeR,ឤᨵf(x)>0/(3)MNf(x)tR_ḄÒᦪ/(4)Qf(x)•f(2x-x2)>l,*xḄm"o஺9ஹ=>Óᦪ/(Ô)=/+2/+J3,஺€/?)EF/\1)=0,Áᐵ¾xḄ/(x)+x+6=0ḄxØᦪ᪷ᑖ·ᙠÚÛ(-3,-2),(0,1)ᑁ஺(1)*ØᦪbḄm"o/(2)QᦪF(x)=log஻/(x)ᙠÚÛ(-1-c,1-c)_ᐹᨵᓫßឋJ*ØᦪCḄm"o10ஹ=>ᦪ/(x)ᙠ_ᨵÏ],/§)=-1,ÁÎÏḄXஹye(-1,1)ᨵfW+/(y)=/(ᓲ).(1)Qᦪᑡx“
EFᓛ=ᓃ$=åæ(஻eN*),1+xy21+K(2)*1+/(N)+/(L)…+—/)+/(ç)Ḅ".511n+3//+1n+2ILᙠÈᙶ᪗è☢JéABCḄx©⚔y&A(0,-1),B(0,1)è☢ᑁxyGஹM`WEFজGA+GB+GC=0,ঝIí1=Iî1=IïIঞx஻ñ(1)*⚔yCḄÃÄEḄ(2)PஹQஹRஹNᙠÅE_J\yFḄᙶ᪗&(J5,0)J=>ñ஻ñJRF//îÁîòRF=0.*óôÉPRQN☢SḄᨬᜧ"³ᨬ$".12.=>a&┦ÈJÁtana=⊈-1,ᦪ/(x)=/tan2a+x-sin(2a+?),ᦪᑡa„
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2111*(3)*MN1<-------+-------+•••+-------<2(n>2,n&N)1+a1+41+an13.(ü$⚪Eᑖ14ᑖ)=>ᦪᑡB஺“DEFþ=1,஺ᔣ=2%+l(neN*)(I)ᦪᑡ4Ḅ⚗(II)ᦪᑡ4-2543…4ki=(%+1ᓲ,'()&+,-ᦪᑡ;11I2(III)'()—+—+•••+——<—(஻eN*)«2«34+13214.567ᦪg(x)=+CX(Qw0),(I)?@A7ᦪg(x)ᙠCDE+F7ᦪAGᦪcḄIJL(II)?”21@A(1)')NOPḄxe[0,l],g/(x)(lḄᐙ⌕ᩩW+C4“ফᐵ[XḄG\ᦪ]^g/(x)=0ᨵ`aG᪷஺,᜛A')e41,fg41Ḅᐙ⌕ᩩW+1//2——2,ᐸ%26+4_17ஹha7ᦪ/(x),᝞£NOPha¤¥¦A§⌕¨Ḅ¤©ªa,6,cᙠ/(x)ḄᑁA¬ᨵ஻a),/(b)J(c)+®a¤¥¦Ḅ¤©ªAᑣ°“X)o"±¤¥¦7ᦪ”.(I)ᑨ³´(x)=4Af(x)=x,´(x)=/Aµ¶+“±¤¥¦7ᦪ”Aµ¶+A·(ᳮ2ᵫ;

3¸II¹᝞£g¸x¹+ᙠREḄᕜ»7ᦪAfJo¸0,+8¹,'(g¸x¹+“±¤¥¦7ᦪ”;¸HI¹7ᦪ/¸x¹=sinx,xe¸O,A¹+“±¤¥¦7ᦪ”AAḄᨬᜧJ.¸ÃÄᑭᵨsinx+siny=2sin¤285¤E¹18ஹ56ᦪᑡÇḄmn⚗nS“)S“=hȸɗ1¹¸ao|ᦪAfaw0,a*l¹.¸I¹%Ḅ⚗¸H¹ÊË=Ìஹ+1,ᦪᑡ"o,xᦪᑡAaḄJ;¸III¹ᙠᩩW¸II¹ḄͦÎAÊ%=Ìh+ÌhAᦪᑡc“Ḅmn⚗noTn.1+4,1-஺,Ð')T>2n--."319ஹᦪᑡ4“Aq=2,a-a+cn¸c+|ᦪA஻=1,23«¹,fhq,«%ᡂxo1n+in2Ḅ,xᦪᑡ஺¸1¹cḄJ¸H¹஻“Ḅ⚗஺¸III¹ᵫᦪᑡ஺,,ḄÓ1ஹ3ஹ9ஹ27.....⚗᪀ᡂhaÕḄᦪᑡb“,lim×ḄJ஺20ஹ56ᙊÙ)¸x+Ú>+/=36,ÛN¸6,0¹,ÛÜoᙊ”EḄÝÛAÛQᙠNPEAÛGᙠMPEAfá=2áAáRF=0.¸DÛGḄäåCḄ]^¸H¹æÛ¸2,0¹çèé/,êëéCì[AஹB`ÛAO+ᙶ᪗ðÛAÊñ=ò+ñA+ᔲ{ᙠó᪵Ḅèé/,}õ©¦OASBḄN¥é,¸ᓽIOSI=IABI¹?{ᙠAèé/Ḅ]^{ᙠAø(ᳮᵫ.21.ùûüýþᑭᑮᙢᳫᜩᕒᦗᙢ☢ᢣᢵᙠ⚜ᑮ᣸ᦗ!"#A,B,C),BᙠAḄ+,-ᔣ,/06km,CᙠBḄᓅ5,30°,/04km,PᜩᕒḼ▮=>?@AAᑮPḄBᦗCDᵫFBஹCHᙢIA0PJKL4sBஹCHᦗ!NOAᦈᑮQ?CDRSTCDḄUVWXIkm/s."1)BAஹCHᦗ!Ḅ0]^"2)BᙠAᜐabPḄ-ᔣc^"3)dCDeP=Ḅ+f-Q=ᜐaᑣAஹBᦈᑮCDḄijkᜧmnkopqrsḄtu./CAB

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12ÏЪᑡÑ⚪H(I)GYᦪᑡ#4-4CDÓᦪᑡ((II)Ôᦪᑡ#“(4-a,,)Ḅ"⚗5“=sTUÆa>lÈ=lim==0,FlimS”.(Ill)஻("22)C./Õ>/>…>"Ḅᨬᜧ᦮ᦪÈ=ᵨq,Ø⊤Ù"./Ḅᩩ®.63.TUbᦪ/(x)=lnx+=+ax,xe(0,+oo)(aÛ·ᦪ).(1)Æa=0È=F“X)Ḅᨬx<(ফs“X)ᙠ[2,+oo)vCᓫßbᦪ=FaḄ»<½((3)9ᔜ⚗Ḅ¯°ᦪᑡ#%=./lnx,+—!—GYHx,Wl(nGN*).Xn+\64.9bᦪf(x)=x3+ax2+bx(x>0)Ḅgh,ày=4áᑗãM(l,4).(I)F”%)=/+&2+6ᐗᙠåæ(0,4]vḄᨬᜧ<,ᨬx<((II)Cᔲéᙠ«¬êDᦪ(s?ᐵAxḄBC/(D=/+X+4ᙠ![0,2]KḄ᪷ḄLᦪ.67>NO/(x)=x?+ax+a(aV2,xeR),g(x)=e~x,জ(x)=/(x)•g(x).(1)$a=l&'জ(x)Ḅᓫ!"(2)g(x)ᙠW(0,1)ᜐḄᑗZ[\Zx=1]^Zg(x)ᡠ;ᡂḄ`abcḄ☢e

13(3)fᔲhᙠ6ᦪ஺'jজ(x)Ḅ᩽ᜧ9m3?#hᙠ'n4Ḅ9'#.hᙠ'opqᳮᵫ.X2y2V368ஹNOtᙊG:+x=15>6>0)Ḅz{᳛m}'\Z/y=x+2[Wmᙊ{ஹtᙊb-3GḄmḄᙊOᑗ஺(1)tᙊCiḄBC(2)tᙊC1ḄᯖWmF1,ᯖWmF2,\ZWR,ᚖ\AtᙊḄ'\Zᚖ\AᚖmWP,ZPF2Ḅᚖ\ᑖZ'2AWM,WMḄC2ḄBC"(3)C?[xAWQ,.ḄWRஹSᙠC2K'
•¡=0,IIḄ89;஺69ஹNOR,F?ftᙊC:1+¤=1(a>b>0)ḄஹᯖW'WP(—¦,1)ᙠtᙊK'ZPF?ab[yḄWM
§'+ὡª=0஺(1)tᙊCḄBC஺(2)tᙊCK«WM(%,%)ᐵA\Zy=2xḄ®Wm¯(xi,yj'3x±4y1Ḅ89;஺70ஹNO4²CᙳᙠtᙊM=1(஺ு1)K'\ZA8ஹACᑖ¶tᙊḄᯖW·±a.....2F,$AC¸¹=0&'ᨵ9AK,A&=Aὡ.2(I)tᙊMḄBC"(II)PftᙊMKḄ«W'EFmᙊN:/+(y—2)2=1Ḅ«ᩩ(1)#ᦪ/(x)ஹg(x)ᙠ!À1,2ÁKÂmᓫᦪÃÄḄᓫឋ'6ᦪaḄ89;;(2)aஹ஺fᦪH(x)ḄL᩽9W'a<஺'£e(1,eÁ(e=2.71828…)஺«ÈḄᩎ

14MeÀa,ᑗ/./0-"02)1<1ᡂ573./(x)fÌÍᙠÀ—1,1ÁKḄ᜻ᦪ'$lீx<0&'/(x)=2x3+5ax2+4a2x+b(I)ᦪ/(x)ḄÏ᪆0"(II)$1<஺43&'ᦪ/(x)ᙠ(0,1ÁKḄᨬᜧ9g(a)"(HI)᝞Ô
1<஺43Ḅᑗ6ᦪa,ᦪ/(x)ᙠ(0,1ÁKឤᨵ/(x)K0,6ᦪᓃḄ89;.74.NOtᙊ஺Ḅ){mW'W·(1,0)fÃḄLᯖW'\Z/W·[tᙊ஺AW,—Ö--5$\Z/ᚖ\Ax&'஺4஺8=—.(I)tᙊ஺ḄBC"6(H)fᔲhᙠ\Z/,j×ᙠtᙊ஺ḄØZKÙÚᑮWP,
AABPmݤÞc.᝞Ôhᙠ'n\Z/ḄBC"᝞Ô.hᙠ'opqᳮᵫ.75.NOᦪᑡà%
q=',a“=7~3d----(஻22,”eN).4(-1)a_-2nt(I)ᦪᑡàa,JḄæ⚗è0q;(II)a=’'ᦪᑡà2Ḅê஻⚗ëS."*(IH)c“=a“sin(2஻)",ᦪᑡà%Ḅê஻⚗ëm7".«ÈḄ“eN*,T„0&'#./0/(x)+ðNO,XE-ð,+81ñᡂ5'஺Ḅ89;஺aLa)X-(177ஹNOᦪ/(x)=^——'ᐸ)஺m6ᦪ.Inx(1)$a=2&'^Zy=/(x)ᙠW(2,/(2))ᜐḄᑗZBC"(2)fᔲhᙠ6ᦪa,j׫Èxe(0,l)U(l,+8)'/(x)ுôឤᡂ5?#.hᙠ'opqᳮᵫ,#hᙠ'naḄ9õ¦q.78ஹNO/(x)=lnx,g(x)=/x2+7x+Á(¦<0,\Z/[ᦪ/(x)ஹg(x)ḄböÂᑗ'[ᦪ/(x)ḄböḄᑗWḄ÷ᙶ᪗mI஺(I)\Z/ḄBC]7Ḅ9"

15(II)#஻(x)=/(x+l)-g1x)(ᐸ)úx)g(x)Ḅûᦪ)'ᦪ/z(x)Ḅᨬᜧ9"(III)$0ýᓃý஺&'þÿa+2/(a+6)6+2tj/(2a)Ḅᜧ,79ஹᱥCV=4%Ḅx!ᵨ#$M#&᳛()Ḅ*/ᱥC!AஹB-#(AᙠMஹB/0).(1)E(ᱥ஺Ḅᯖ#6789Ḅ:;4(2)᝞=ᱥC>?@ᙠ#஺6ABQ4LQB,E8&ḄG:I.80ஹᙠL☢*Nᙶ᪗QR6SᙊF:(x-l)z=1(F(ᙊV)6S*W"Y-2,,[ᙊFᑁᑗ^_*௃aᑗḄbᙊP,(1)E8bᙊᙊVPḄdeEḄfg஺(2)h$SᙊVFḄ*ᑴjkl>mndeEoSpF!#AஹBஹCஹD,জsᔲ@ᙠ*u/ABvC|ᡂyz7@ᙠ6{8|}ᩩ*Ḅfg;7@ᙠ6{ᳮᵫ஺ঝ*#Fb63”ᓃẆḄ:sᔲ(S:z7s6{8|}S:;7s,{ᳮᵫ஺81.ᦪ஻))=/+y+஻Ḅ$#(1,3),^஻-l+x)=ᦪᡂy,ᦪy=g(x)y=/(x)Ḅᐵ!#஺/(-i+x)=/(-i-x),/প=3(I)8“X)g(x)Ḅ¥᪆§;(II)7¨(x)=g(x)—4/(%)ᙠª-1,1J>s¬ᦪ68ᦪ9ḄG:I;82.hᦪᑡ®a“¯,°”¯±²)=³=6,%=%=4,%=4=36^ᦪᑡ®a„|-a!(/?GQ)sµ¶+nᦪᑡ6ᦪᑡ·“-2!(஻€º)sµ»ᦪᑡ஺প8ᦪᑡa¯_°,¯Ḅ¼⚗¾§;(II)sᔲ@ᙠ¿eN+,A4—de(0,£),7@ᙠ68|37@ᙠ6ᳮᵫ஺2s283.ᦪᑡ®%¯Ḅ✌⚗q=1,Çn⚗_Sa/0±²a=——(஻Ê2).nnn2s“-1(1)8ËÌij®'-¯Ḅ¼⚗¾§;(2)h@ᙠÎᦪk,A(1+51)(1+$2)…(1+5.)29ÓÔ1S”Õᑗ஻EN*ᡂy68kḄᨬᜧ:.

1684.BஹF2ᑖØsÙᙊ5+4=1(஺>0/>0)ḄÛஹÜᯖ#6ᐸÛxa!#N,ab~....,]]Þ^±²6F,F=2NFJ31=2.hAஹBs>ßÙᙊ>±²NA=ANBḄ-#6ᐸR4e2(1)8àÙᙊḄfgo*ABḄ&᳛ḄG:I;(2)hAஹB-#ᑖØ[àÙᙊḄᑗ6-ᑗa!Õ#P,8Ë#PᙠÕᩩS*>6Þ8#PḄáᙶ᪗ḄG:I.3285.ᦪ/(x)=ln(x+—)+—,g(x)=Inx.(1)8ᦪ/(x)sᓫã·0;2x(2)᝞=ᐵ!xḄfgg(x)=;x+äᨵᦪ᪷68ᦪäḄG:çᔠ;(3)sᔲ@ᙠÎᦪk,ABᐵ!xḄfg/(x)=Ag(x)ᨵ-aµḄᦪ᪷z᝞=@ᙠ68k±²Ḅᩩé;᝞=@ᙠ6ᳮᵫ.86ஹᱥê=2px(pு0)Ḅᯖ#(F,*/$#4(4,0)^ᱥ!P,஺-#.ÞhíîPQ(*ïḄᙊឤ$#.(I)8ᯖ#ᙶ᪗(II)7l+l=l6E8b#RḄdefg.x22Lv87ஹÙᙊr+==1(஺ுᓃு0)>Ḅ#ᑮÜᯖ#FḄᨬôõs0-1,öᑮ>⚔#a-b~Ḅôõ(ᚡ6#C(m,0)sú஺ö>ḄÕb#.(I)8ÙᙊḄfg;(II)sᔲ@ᙠ$#öûxᚖ*Ḅ*/Ùᙊ!Aஹ8-#6AB(íý,Þᳮᵫ.88ஹÙᙊḄRVᙠᙶ᪗#6Õ⚔#(A(0,2),Üᯖ#F#8(ஹᔊ6J5)Ḅôõ(2஺(1)8ÙᙊḄfg;(2)sᔲ@ᙠ&᳛)/0Ḅ*//=5-2,A*/Ùᙊa!ÿḄ
1=1I,ᙠ/Ḅ஺ᙠᳮᵫ஺89ஹᦪᑡ#$Ḅ%n⚗()S“,-.ᑗ0᦮ᦪn2ᨵS“=஻2(1)89a„+a=4n+2(2)ᦪᑡ#*$Ḅ?⚗@A+1n(1V1A(1A_____(3)F/(஻)=1——1——•••1——J2஻+1/89/(஻+1)

1790ஹSTᦪᑡa,,!Ḅ%U⚗)a-1,4,2a,W%஻⚗()S,,.s(I)F&=2550,஺(ᦇḄ[(II)F4+ᡭ+᝞+…+&TḄ[.n91./(x)bcᙠReḄfᦪ-ghiḄjᦪa,b2ᨵ+01஺),/(2)=1(1)Ḅ[(2)/(2.")Ḅl᪆A(஻wN*)92.Ffᦪ/(x)=x|x—a|+6(1)89f(x))᜻fᦪḄᐙ⌕ᩩwx/+/=()(2)Fyᦪᓃ<2{-3,,-hixe[0,l],.f(x)<0ឤᡂNjᦪaḄ[93.fᦪ/(x)=/+((?-3)x+/.3a(a)yᦪ).(1)᝞-hixe[l,2]J(x)>/ឤᡂNjᦪaḄ[(2)Fjᦪp,q,r9eq,/•Ḅ.ᦪាSga,,
ា)/(x)=0Ḅ
j᪷ᑨজp+q+r,ঝp?+q2+J,ঞ/+/+/xᔲ)b[xb[9xb[xb[Ḅ⊤)fᦪg(a),g(a)Ḅᨬ[(3)-gফḄg(a),F஻(a)=¢[g(a)-2%ᦪᑡ#4$.=H(a“)(஻eN*),,6ae(0,1)»¦ᑨa“+[§a”Ḅᜧ8.!94.᝞ª«A1A?)ᯖḄ®E§°±)cḄᙊOµ¶gC,D,C”Dº»CC௃§OBP¶gH,,ᨵ9¾=(3+26)¾஺ᐸA1,A,BxᙊO§ᙶ᪗ÂḄ¶c)®Ḅ°2ᯖÃ஺(1)Äc=lÅ®EḄ(2)¦89-hi0jᦪc,®EḄÆÇ᳛)yᦪ஺\cl/(3)º»AC§®E¶gF,xᔲᙠjᦪ/I,ËÌ=4bឤᡂNᙠ¦ÍḄ[ᙠᳮᵫ.4Î஺[Ï:*95.Ffᦪ/(x)=1ax3+bx2+cx(a

1896.FfᦪAx)-/+bx+l(a8)jᦪ),F(x)=["0">°)[-f(x)(x<)(1)஻-1)=0,-hijᦪᙳᨵ/(x)NOᡂNä(x)⊤åA(2)ᙠ(1)ᙠᩩwæÄxe[-2,2]Åg(x)=/(x)-çxᓫéfᦪjᦪkḄ[;(3)FmnvO,m+n>0,஻:>0,/(x))Ꮤfᦪ8ä(î)+ä(ï)>0.97.ᙠñ☢ᙶ᪗óᑁᨵ
bᑏஹö(÷Pὡஹöᙶ᪗ᑖÖ)ù(-L0)ஹF(l,0),÷2P^^=ü÷PḄýþ)®C,®Cᐵgy=xḄCIPFI22=X+3C'AஹBOᙶ᪗#$ABOḄ☢&J7,(1)-CḄ./0(2)-mḄ2஺98.ᦪᑡ9&“<,«1=1,a=2«„-n2+3n(neN")n+IপᔲDᙠFᦪ4ஹ஻IJᦪᑡ9%+L2+2YT:["22],---------

19ὃᦪ⚪.ஹ\-ax,l1],Oxel,2,ᑣg(x)=l—ax,ᨵg(2)«g(x)Vg(1)0OXG2,3,ᑣg(x)=(l-a)x-l,ᨵg(2)Wg(x)Wgব0®g(x)mm=g(2)=l-2a,-------6ᑖ¯g(3)_g(l)=(2-3a)-(l-a)=l-2a,ᦑ[]g(x)max=g(3)=2-3a,ᨵh(a)=1-a?[;

202.:(1)ᐜᵨᦪÀÁÂÃYT00,ᡠ¥f(x)ᙠ(0,1)ᦪ.X+lX+1Ëf(x)ᙠ0,1ÌÍᡠ¥f(0)0,g(x)ᙠ(0,1)ᦪ.Ëg(x)ᙠ0,1ÌÍᡠ¥g(x)>g(0)=0.22®0<%<1,ᡠ¥g(%)>0,ᓽ/(4)>0,Ò¯0„<%.--------10ᑖ+111b஻+1(HI)®Ø=Ù/ᔣ2,5+1)/,ᡠ¥ᡈ>0,Ü12f,22b2nᡠ¥Z?—---…—K2------n!--------জ,--------12ᑖnbUn-"b஻-2hU\Tà2ᵫ(II)஺ᔣ:<%,ᡠ¥%=&.%…2<â”…ã2a2a,a,äa.222niizn—i®q=*20<"஻+i<0஻a-n\.16ᑖnn

2171=---FX%=043.(I)ᙠ/(ë+ì2)+/(íᐗ2)=2/(X])cos212+4Qsin?%ᑖvx=x_712/(x)+/(-x)=2cos2x+4tzsin2x,জ-rrJ/(5+x)+/(x)=2a,ঝf(y+x)+/(-x)=26ot-^+2x)+4asin2?xঞᵫজ+ঝঞFC/4ஹτ,1-cos2(—FX)J4(x)=2a+2cos2x_2cosÓ+2x)+4a[^—ñ“4a------------------=2a+2(cos2x+sin2x)—2a(cos2x+sin2x)/(x)=a+V2(l-a)sin(2x+—)4(II)[xe—],sin(2x4—)e[——•,1].442(1)•.[/(x)|W2,[a

22=^^(—)++z=±2(7ᑖ)4jl2+44k2+44(3)A"⚔$%&B("⚔$.S3°B=1(8ᑖ)4,B+"⚔$%&,ABḄ./"0fcv+by=kx+b■2=>(/+4)x?+2k0x+Z?2—4=0=Ik]+2=-5----v2B+/=1-k+44b2-4DEx/2="=0=G/+H+b)(5+b)=oJᐭ᦮ᳮN2/+᝕2=4(11ᑖ)44C1IAII,1ERஹ24—IwJ4/—4/+16U.S^--\b\\x,-x^-\b\^x+x)-4X,X1=-----------------=——=\2t22ᡠYZ[\Ḅ☢^"_`.(12ᑖ)125(1)a=-(10/,-1)-10/,+-«(10?,-1)......................(2ᑖ)n11n«_11__1=e(10஻—1)•(10஻+2)=+1).........................(4ᑖ)93310"-1iNA=-----,ᑣA=33……3"᦮ᦪ3'---"---'“oa=A(A+l),p..............................................(6ᑖ)(2)n11O•/a=-102n+-10"rr........................................(8ᑖ)”999117s^^(102+104+……+102")+^(10+102+……10z,)-1nn=—(102,,+2+11-10,,+|-198n-210)................................(12ᑖ)6ஹN(I)᧕஺=⌲"=2,c=1,N.ᱏ=(ߟ1,0),{(1,0),P(x,y),ᑣ~•~=(r1rx,--y)=/+/-1X2+4--X2-1=-X2+355*/xe[-V5,75]/

23x=0,ᓽ$P"ᙊ$%&PF,VPFᨵᨬ`32x=±&ᓽ$P"ᙊ$%&~•ᨵᨬᜧ`4(II)Ꮇ,ᙠᩩḄ/᧕$A(5,0)ᙠᙊḄ᜜&/Ḅ᳛+ᙠ%,/ᙊ$&ᡠᙠ/᳛ᙠ&,"k/Ḅ./"y=k(x—5)22%J-------1-------#1ᵫ./454&(5k2+42-5022%+125%2-20=0y=Z(x—5)¢⚪¤¥=20(16—8O/)¦o,ீ¨ீ©rª᝕(%,,$C஺”%)ஹD(x,y),CDḄ$"R(o&y0),225550k2x+x25k2nl{2$|JX]+X,=-Z-------x=------=--------(}51+425k2+425k2-T&-5)="(,5k2+4®IF2CITF2DIOKRUOZ•&RR=-10(20A,(5/+4)-20/r³25k24-20/.,.20k=20k2-4,20k2=201?—4+ᡂµ&ᡠY+ᙠ/,¶IF2c1=·1¸Rᡠ¹&+ᙠ/,¶IF2OIF2DI7ஹN(1)¢⚪¤&ºM¼Y$P"ᯖ$&/"¾Ḅ¿ᱥ&ᡠYºMḄ./"y2=4x.7rᓲ(X-DÃÄy:(2)(i)ᵫ⚪¤&ABḄ./"Ny=-6(x-=4x1101A3X2-10X+3=0,X1=—,X2=3.ᡠYA(2,Ç),B(3,-2),1AB1=x,+x+2=—.23333Ꮇ,ᙠ$C(-1,y),¶AABC"ÈZ[\&ᑣIBCI=IABL0JACI=IABI,ᓽ(3+l)2+(y+26)2=(/)2,l42140■12ÊËÌN42+&+26)2=(3)2+&rÍm2,Ï=-0(+Ð,Ñ)E+(yR=Ò339

24ÓÔ&/R+ᙠ$C,¶AABC¼ÈZ[\.iiÕrN,Cr1,y¶aABCᡂ×[Z[\,ᵫ-1Ï=2ᑁ&Ô%A,B,CZ$ᐳ&ᦑyZ2HT7IACI2711ஹ2z2V2284V5y?1AD12Z162256XlACI2=-l--2+y-y=-—r^+yJAB|-=y2=—IBC|2>IAC|2+1ABI2,g|J28+4>/3y+y2>ÜrÝy+y?+Þ&ᓽy>ß%&/CAB"×[.IAC|2>IBCF+1ABF,ᓽÞrày+y?>28+4xy+y?+Þy<--73%NCBA"×[.3®IABl2>lACI2+1BCF,ᓽã>—y2+28+46y+y2+993ᓽNÏ2+N6Ï+3<0,Ï+ä2<å+Þæ&ᡠY/ACB+çè"×[.ÓÔ&AABC"×[Z[\%&$CḄéᙶ᪗yḄì`î¼Ny<■ᡈy>^-.v*2V3ÕNYAB"ñḄᙊḄ./"NX-g2+y+12=I2ᙊòrᑮLNX=-1Ḅôõ"gᡠY&YAB"ñḄᙊLËᑗ÷$G-l,-Ý./RḄC$Gùᔠ%&NACB"[&CG$+ùᔠ&ûA,B,CZ$+ᐳ%&ZACB"┦[&ᓽ4ABCNACB+çè¼×[.ÓÔ&⌕¶AABC"×[Z[\&þçè¼NCABᡈNCBA"×[.ÿAABᚖḄ:y-=x-9.x=-1y=BABᚖḄy+2=-3,x=-1y=-"#[枫由:,<_Aᡈ>>DE2ᢚ.

258ஹ%(1)a=b=O,ᑣf(O)=[f(O)/Qf(0)/0/.f(O)=l(2)a=x,b=-xᑣf(O)=f(x)f(-x)/.f(-x)=—!—f(x)ᵫWXx>0.)f(x)>l>0,*xvO.,-x>0,f(-x)>0/.f(x)=----->0Zx=O.)f(0)=l>0f(-x)[\]xSR,f(x)>0(3)\:X2>X1)ᑣf(X2)>0,f(X[)>0,X-Xi>02,77^v=f(x)-f(-x)=f(x-xI)>l2l2f(X1):.f(x)>f(x)...f(x)ᙠRf>ghᦪ2l(4)f(x)-f(2x-x2)=f[x+(2x-x2)]=f(-x2+3x)Zl=f(0),f(x)ᙠRf⌴gᵫf(3x-x2)>f(0)Wx-x2>000g(—2)=1—5ᓃ<0n=<6<"jg(0)=-l-/?<0gপ=/?+l>0,15ᓽ57(2)u=/(x)஺0hᦪ1-c=2b>-6,hᦪ/1(x)=x?+2bx+cḄ[x=-b.••/(x)ᙠ(—l——fghᦪ)F(x)=log7,/(x)ᙠ(-1c,l-c)fhᦪ஺/(x)ᙠ(—1—c,1—c)fឤᨵ/(x)>0,◤/(ߟ1c)20,1517c=—2b—ᡠ(—*2lx„I.-.I—KIZ=—.'1+xQ2

26/)=ᔩ)=-1/U„)=/(ᓲT)=y(A^.)=/(%„)+/(%,,)=2/(x„).+1l+x“l+x“x“0=2Q.{/(x.)}>(-1✌⚗)(2¡Ḅ¢¡ᦪᑡ,¤(x“)=-2"T/(x.)(2)ᵫ⚪¦)ᨵ/(0)+஻0)=/(§)=/(0),᝞(0)=01+0Y—YZXG(-1,1),ᱛ=´)7(R)=»஻E)♦ᦑ1+/(1)+/(')---I-/C]1)+/(■)=0.+3஻+1n+211.%(1)¦C(x,y),:¶+·=24&)ᵫজXᐗ=2#)GaABCḄ»)xyG(—,—)(2ᑖ)33XᵫঝXM>AABCḄ᜜).Mᙠxf஺ᵫঞXM(-,0),3x2,(x-1)2+y2ᓄÁ᦮ᳮ:ᵫIMCI=\MA\—+y~=1(xNO)…(6ᑖ)2(2)F(V2,0)ាÈ+É=1ḄÊᯖ3¦PQḄÎ᳛kWOkWÈÐ)ᑣPQḄÑy=k(x—Ò)

27y=k(x-6)=(3/+i)/_6&2^+68_3=0ᵫ23/-3=0X+ஹn6y/2k26/3nl¦P(Xi,yi))Q(X2)2)tIÓX1+X2=—5~~-X|•X=--z---8ᑖ23k+13A2+16kJ326(r+1)tUIPQI=Jl+C~-J(X]+x,)~-4X]X.=Jl+C~•×Ø3k2+\~3k2+\•.•RNLPQ,ÚkᣚᡂÜIRNI=26"...(.1.0ᑖ.).k3+Ý•••S4IPQIIRNI^X(X3)=2-833(/+3)+10K,183(/+r)+10=-----k22-S1Q3'Tk2+—^2,T.-----216,.•.-WS<2,(*k=±l.:¢ß)..(12ᑖ)k-2-S2Z*k0àᙠᡈk=0.S=233áfâWSW2,/.S=2,Smin=-............................(14ᑖ)max222tan(72(6-D12.%(1)tan2a=Z┦31-tan2cr1-(V2-1)22a=—sin(2a+—)=1/(x)-x2+x44ফan+\=an+%•*Cl,——஺2)஺3,…çᜧ²0a?>0>«„121111111ব—2a,+%%\+an1+%a„%+l11+---1-----1--1-1--1----1--I---1----111------1-------F2--—1+/1+æ1+%a}a2a2a3ana4%+lanl+Za>an+lnci.,**•1<2-----<2,1<------1-------F•••H------<2—l+ël+al+a2n13ìA⚪íᑖ14ᑖ%1,/a2a“4-1,a+1=2(a“+1)2ᑖn+

28+i

29ᦑᦪᑡ4,+1
>✌⚗2,¡2Ḅ¢¡ᦪᑡ஺……3ᑖ)*+1=2",%=2"—1…4ᑖফ...44-ᵬ-14"1…4ð=(«,,+1ò,/.4cA)=2ó..........5ᑖ2(4+b4---->rb)-2n=nbজ2nn2sl+b+---+b+ôõ)2(஻+1)=("+l)b@2nn+lঝ"O24+1_2=(஻+1)/?„-nb,ᓽnb-2=(n-ঞ..........................8ᑖ+|nn.•.(஻+1)஻ᵨ2=÷+2টটঞ2஻b“+i=nb„+«/?„_],(l)f(r)=a2(r——V+rd--ᓽ2஻,+i=..........U2a)'4-9ᑖᡠ(ᦪᑡ2
>¢ùᦪᑡ1_]]_1I(3)~a~-2"+l-1<2"+,-2~2'a~11ᑖn/i—I¦$=11ᑣs<Ó1+•1!•(1,+l1+-+1')=11”1ஹ—+-(S--------)a2%%+l஺22aḄanai2a2n+i13ᑖs2..........4ᑖ(2)¦g'(x)=/(x),ᑣ

302••஺ீ19•ᓽÿ(஺•=5])=+ᐙᑖ.•4•'*]£[0.□♦/(•/•ுWu+4:./(x)Cl(x€[OUj).⌕ឋ6[0“./(1)41.6(0.11.•1,/(*)=T&L:.r<4-(2)!"ᦪ/(%)Ḅ&'(UᔣF.*+,-.1=].CU■:T•/6(0.1]⚶[-1.11.a>o.|_rk+]8஺flaid9€r[—II<.oL,«/(x)=0Ḅ<᪷a.fᙠ[-1,11ᑁg2au|/(௃)40,2IIpl1/পW஺,I/(-I)^0/(-I)coI+alaiciA3141Ḅᐙ⌕ᩩC]-0,...£(())=1……3ᑖMf(2)=f(lx2)=[f(l)]2=4,Wf(x)>0.•.f(l)=2,f(—l)=f(l)=2.......3ᑖফ2ஹkx+2ஹkx+2kx+2ஹ|_+2]ஹ220/2>2«/](±1)஺/24+4,26+4/VX2+4>G+4,WxNOᐸa"ᦪ/஺)>0ឤᡂdy=/(x)ᙠef[0,+oo)V.ᓫh⌴j"ᦪ•k+2|l\kx+2|>G+4oo-1)X2+4^>0V%2+4

31জp=0kxe{0}M(dk\Ak4%ঝ1<ᦇ<0xx——<0«—^

325Ñ¡ÒḄa,b,c,^a,b,ce0,—Ó,ᑣᑖÔÕÖ᝞Ã:6(1)a+b+c...27r,Ø஻…2஻/7—c>2)9^—9^=ᓛÛᳮ/7,c>—,6633"ÝCG⎃ᔩ,ᦑsina,sin/7,since(ߟ,1],sin«4-sin/?>—+—=1...sinc.36222Ûᳮ¢Äᐸà<á.sina,sin"sine¢£.â¤Ḅ.(2)஻+0+cv2Ña+bcØ——+~<7T,¢S᝞Ã<ãäå22a+b7Tæca+b)ᐔ----Wᵫa+6>c,ᡠ0<<-----W—.22222TTC(1+hᵫsinxᙠ(0,]VḄᓫhឋ¢S0\c57r,ஹcos------=cos-------->cos—>cos——>0,22212...7`•a+ba-b.cc..sina+sinZ?=2sin------cos------>2sin—cos—=sinc.222257rÛᳮ¢Äᐸà<áᡠsina,sin஺,sineîâ¤Ḅ.ᦑ4=rx
“16"ᦪ57r}VAḄᨬᜧ®..618ஹQèIÓ

332------(Cin-1)n0”[']=(3஻1)஻-2aènÓᵫèIÓ·b=,Âî,ñ.òóᦪᑡ,naan(a-i)-2..-r--.c,3஻+2,3஻~+2Q+2ᑣᨵ=஽4,b=3,8=--------&=---------------,1aa~1»/3a+2ஹ2ø3a~+2஺+2஽ᑐ4Hlræᦑ(-----)-=3----------------,QS஺=.........................7ᑖaa3úû4=1üᐭS஻=3"ᡂdᡠ&='.........8ᑖ3"3III
ÄÏᵫèII
·஻"=q
"3"ᡠ%=T-+——-3"+11+(3)"1-(§ÿ3"+1-13,,+|-1+13"+1+3"+1-1=1bld:=2-(-----------------)9ᑖ3"+1------3ᔣ
13"+13"”
1_L_>_L_______J_<_L__Lᵫ----<—,3஻+13”3,,+|-13n+13"+13,,+|-13"3'’I311ᡠ%=2—(------------—)>2-(----------r),.............................12ᑖ"3"+13,,+|-13"3,,+,abT”=q+஺2+••.+£,>[2_(_?)]+[2_(?-")]+…[2_($
)]=2஻ߟ[(„)+("+…+g—*)]=2஻_(
)>2஻-g.ᓽT>2n--.14ᑖ"319ஹ(I)6=2,஻2=2+C,4=2+3஺q,%,%ᡂ!"ᦪᑡᡠ(2+c>=2(2+3c),C=0ᡈC=2.&c=0'(=஺2=஺3*+ᔠ⚪./0ᦑc=2..........4ᑖ(ᦻ6ᑖ)(II)&஻22'ᵫ3஺2
=C஺3
஺2=2c......ct~=(n—l)c,ᡠ4—q=[1+2+,••+(஻
l)]c————-c஺n54=2,c=2,ᦑ஻“=2+஻(஻-1)=஻2
஻+2(஻=2,37).&n=l'9:;ᡂ<ᡠa=n2
஻+2(஻=1,23•)......8ᑖn(III)b=32n-2-3nl+2,lim3=9.........12ᑖn"->8hn

34NP=2NO20ஹ(1)___=nQPNḄ?@AGQ_LPNGQPN=0=GQPNḄ?ᚖC=IPGI=1GNI.,.IGNI+IGMI=IMPI=6,ᦑG@ḄDEFMஹNᯖ@ḄHᙊᐸKLMKa=3,LᯖN22=O...PLMKb=2,.•.@GḄDERSFT+2-=1..........5ᑖ94(2)U=3+VᡠWXYOASBZ[WXY•••\]ᙠ/`IOS1=1ABI,ᑣWXYOASBbYOAOB=0x=2(x=2\/Ḅc᳛*]ᙠeC/ḄRSm2,ᵫf2cy2:------F--=1V=±--------941/3a.16...•.஺4஺6="^>0,i஺4஺8=0jkᦑ/Ḅc᳛]ᙠ......7ᑖlIḄRSy=k(x-2),4(Ḅ,%),B(X,y)22y-k(x-2)my2n(%2+4)x2-36—+36(%2—1)=0-----1-------1[9436k236(Z:2-1)জ9k2+4'9k2+4y^2=[Z(X]-2)]n(o2-2)]20k2=k2[xx-2(XJ+X)+4]=~—ঝ....................9ᑖ]22,3qজஹঝsᐭxx+y\y=0u=±—x22]ᙠeC/:31
2y-6=0ᡈ3x+2y-6=0`WXYOASBḄxyCz!.21ஹ(1)AB?@ᙶ᪗}@ABᡠᙠeCxM~

35mCRS—---[-=1(x<0)BCḄᚖeZᑖCḄRSx+-7=0ὶ—Vx2+A2+J/+)2Vx2+h2+yjy2+h2y)x2+A2+J/+°2ᓽAஹBᦈᑮ³´Ḅ'µ¶·¸22ஹ(I)º»ᦪḄᨬ¸½¾U1,Vi+7,JiT7,...................3ᑖᵫf(1)=0,Wc*=~ci—/7-1/(x)=x3+ax2+hx+c=x3+ax2+஺Ã
(஺+/?+1)=(x-l)[x2+(஺+1)%+(஺+/?+1)],ᦑRS/+(4+1Æ+(஺+=+1)=0Ḅ᪷F1È7,VT+7.ᦑJl-f+Jl+f=-(a+1),Jl-ËJl+f=a+b+l............4ᑖ(Vi^7+Vi+7)2=(a+l)2,ᓽ2+2(a+b+l)=(a+l)2/.a2=2/7+3..............................5ᑖ(II)জ¾⚪.X],%2FRS/(X)=+2஻x+/?=0Ḅ᪷ᦑᨵÏ+Ã2=
Ð᳝Ã2=§AÒ=(2஺)2—12஺ு0,஺<3.,,,r-----3—-2—2—3b2y/3^brËᵫIÏ
ᑍ21=4(X]+%2)-4jjX=-------------=-------...............7ᑖ2243-A22o/n-------=-b=2,a=2/7+3=7.3---3

36ᵫ(I)ÖJ1T+J1+1=-(4+1)>0,ᦑ஺<
1,a=
,c=—(tz+/?+1)=V7—3/(x)=x3-y/lx2+2X+V7-3..9ᑖঝ\M-N1=1f(x)-f(x)I=1—x)+a(x—x)+b(X]——)Il2I./.22,3-3/2a.b.2a...X2=1Xj~1*1(Xj+%)-X]/+Q(᳝+Ã2)+ᓃτ=-------I(-----)-----FQ(---—)+bI24-49-a2-f5ØᡈÙØÚÛo.................................11ᑖᵫ(D(a+l)2=(ViT7+Ü7)2=2+2Ý*0<3)................13ᑖ4ᔆß0

37ᵫÒ>()042VglE(R,yDF(X,>2)28k2X1+x2-2T+1ᑣ<ঝ7ᑖ8k2—2Ï஽=2k1+\qIRFI—►——►xߟ?ñ2=3^,ᑣò=-----,ᵫó=——A0<4<1.SAOBFIBF1x—22-4ᵫঝÖ(X]—2)+(%2—2)=2kl—~92(%)-2)•(Ã2-2)——2(%|+X,)+4=~~~~-.-2/+1421ᓽὊ10••(1+4)2—8(1+Z)22?14/11J_(1+2)2-2<2,3-2õ0,/.h(x)<0,g\x)=——-<0,x.•g(R)ᙠ(0,+°°)ᓫ⌴.•p=0〉ᔠ⚪...................5ᑖঝp>0/?(x)=px2-2r+pᔣ!ᱥ#$%(0,ᓝ8).T.h(x)min=p-L.h◤p—L2஺/ᓽ஻21((X)2O,g(x)20,PPPg(x)4(0,+8)ᓫ⌴*..p2i〉ᔠ⚪.....................7ᑖ

38ঞp<0/2(x)=pf—2r+pᔣ-Ḅ!ᱥ#ᐸ0$%ᱏ=2e(0,+°°),P3◤஻(0)W0,ᓽpWO/?(0)W(0,+8)ឤᡂ.g'a)0),11—Y<=(x)=lnx-x+1,>ijk'(x)=——1=-------.xx(0,1)/a)>o,//পᓫ⌴*AᦪCDE(1,8)/a)0,Inx,FP111-----<--------=1—xxxneN*,n>2Q7=n2,;<1-^-.n"n"••S᝞1),In2In3Inj1V1τ1τ1ஹ—i—I---;—F...4---1—«—(1----7+]---T+…+]---7)22322222232n27[(«-1)]-+1+…+1)](11------1-------F...4----------)]223n22x33x4e(஻+1)1.1111111,112/P஻P1nVl=-[n-l+------------)J=-h-l-(----------)]=-------22334஻஻+l22஻+l4(஻+1)fgᡂ...........................................................14ᑖa—125.h;(I)ஹ=——(q—1),q=0,a஻22஻ijPklm-m஺,o-=஻ᓽp6qrstᦪᑡ.?♦4=஺.41=j?........................4ᑖ2.(gn-1)n(II)ᵫ(I)Lh„=a-l--------+]=(3”;1)""-2“’|}”qstᦪᑡnana'\a-1).21lTXTtct3஻+23஺~+2஺+2>Jb?=bMb[=3,b)=--------=-------------C-------ஹaa"ᦑ(j£12)23.3/+?+2,h7q=L“=1ᐭ7"=3'ᡂᡠa=L=aa2333

39i113஻3(III)9:;ᵫ(II)L4=(*"ᡠ=—1+—=+/iJ1+(/13"+1-13,,+|-1+1,11c,21ஹ3"+13N+,-13"+13,,+I-13஻+13N+,-11111,1111IJj<——3"+13"'3n+l-13"“3"+13*,+|-13"3"+|'ᡠ=2-(ᓰ-)>2-4-)7C=8+஺2+♦•+,,>[2-(1-^-)]+[2-(^--^-)]+---[2-(^--^-)1=2஻_[(§P3)+(*-*)+_+(-¡)]=2஻_(5_᝞)>2஻-3.ᓽ7C>2஻PC.....................14ᑖV**+Z726ஹh;(I)<-——=x=>(l-b)x2+cx+a=(Xb^l)bx-c2+0=-a-Q1-bn07ª<0ᡈ%>2Cᵫ/'©F§<070<%<1ᡈ1<*<2ᦑAᦪ/©%§Ḅᓫ⌴*¬©-8,0§®©2,+8§,ᓫ¬©0,1§®©1,2§................4ᑖ(H)ᵫ°L672S“=a-aj,஻N22s—a,Jn³´µ7&+a,-)(4-+1)=04=—%ᡈ-%=T஻=12%=%—஺[=>%=-1,^a“=-a,1,>ij4=1¹º%71»¼,"a“—<2_——1..a——n................6ᑖnlnr½9¾s´ᓽoPw4-1nn

40ÀᡃÂὃ⇋9:¾s´oP0,ᑣ>1,X------Xt—1Qg«)=PITnf/g'Q)=l-lᵫf£(1,+8)Lg'(f)>0t•£(1,+8)gQ)ᓫ⌴*gQ)>g(l)=0rf-lுhw1X+]ᓽP>ln——,x>0জXXQ஻(f)=lnf—1+L//«)=1—5=6ᵫfe(l,+8)L”(஺>0ttrt...fe(l,+oo)஻Çᓫ⌴*...஻«)>஻প=0rInf>1otY4.11ᓽIn—>——,x>0ঝxx+1ᵫজஹঝ6LP'P<ÈÉ<’,ு0...........................ioᑖx+\xxgஹr1i஻+11„1H+11,Vᡠ----U7C=1+o+,+…+,n23n,1i஻+l<_LÊQ஻=i,2,3,…,2007,Ëᔜ´µÍ7ᙠ

41(\]/(a—x)஻“)+ll+/(a—x)/(x)-/3)=/(0-1=2஻x)MVt)=஻("x)-Íf-f-=l-/0-x)(a)(ax)/(d)/(A-)+l=1+/U)=-2:f(x)~f(a)/(x)—1=-fx
,0ÏÐÑᑁḄÖ×xIØᡂ:.9x
᜻Aᦪ----------------------------------------------------------4ᑖ§(2)᧕9;f(x+4a)=f(x),ᕜÜ4a.------------------------------------(8ᑖ)f(a);/~(-a)+lI-/Ý)(3)f(2a)=f(a+a)=f[a-(-a)]=—2f(a)-3“)=/ফ+a)=/2-Ja)]=/"—>!=*=f{-a)-f(2a)-/(a)ᐜ9:f(x)ᙠ[2a,3a]ᓫ⌴Ààá9:xG(2a,3a)f(x)<0,<2alj0

42_/(%):f(x)+i___Lf(x-2a)A/(x)<0-.............(10ᑖ)-f(2a)—f(x)~f{x}<2alj00./3>/(X2)+l/(X1)-/(X2)>0,f)>f(x).f{x-x\)22•••/(x)ᙠå2a,3aæᓫ⌴----------------------------------(12ᑖ)/.f(x)ᙠå2a,3aæḄᨬᜧI/(2a=0,ᨬ¦I/(3a)=-l28ஹh;(I)2=4xMJQᙠX%Ḅðñ%iX>0ᦑJMḄòóCḄõöry?=4x(x>0)........6ᑖ(H)h÷P;ᵫ⚪6LN!ᱥ#C:y2=4xḄᯖJùAஹBûᯖJNḄü#º!ᱥ#CḄ³×ýJ஺ü#ABþ᳛
ᙠA(1,2),B(1,-2),|AB|=41,ᡠC&=3,஽=!3-1ᵫG=AAN2=X2~X,=ߟ=-..................13ᑖx-x,3—13N9KL%ᵫ⚪#ᩩNy%=4O(1)y=4X(2)2'x-x=2(1-%,)(3)2}y~y\=-4M(4)27(%-%,)2+(y-^)2(5)22ஹJ

43ᵫবஹভ)ᐭ(2)(1-4)2),=4X1+4%(1-!)XYপ)ᐭ7[\ᓄ^U-l)x=1(6)……9ᑖta᪵Yবஹ(4))ᐭম\dᔠ(1)ᓄ^ef(1+X,)2=y(7)……IIᑖ\4k=44ᵫযஹ(7)9l3ᡈl1pq]>1,ᦑ4=QX,=~n=3[3x2y229ஹ9%(I)#wᙊWḄ;0,92<_.#A,8Ḅᙶ᪗ᑖ!(ᓰ,y),(x,y),221821k2-6,,nlzzᑣ᳝+“2=᳝஽-]+342>'i=k(X[+3),!=kg+3).!(2,0)C(*,—x),

44ᡠCR7=a+2,—FB=(x+2,y).22p!(X]+2)%-(஽+2)(-/)=(□+2)%(¡2+3)+஺2+2)&(□+3)542—12-9042k[2xlx2+5(x,+x2)+12]=k[-----o--'------T+12]1+3/1+3£1(54/12-90/+12+36/)ᡠC¤'=2¤........10ᑖ1+329K2%!;

45ᵫ=/4(ᓃ-1)=È+2>>0,ᓰÉ2...........7ᑖaᳮPBḄ;0,.....3ᑖᵫ(1)c=஺2஺)ᐭa0-^-2,ᡈ2NO,(4)..............5ᑖaaᵫ(3),(4)OW^vi..............6ᑖa(II)ᵫf\x)=ax2+2bx+cḄᑨëij['=4/?2-4tzc>0,

46u;<(%)=/2+28x+C=0(*)ᨵìíä᪷#!X),x>2pᵫr(l)="+2b+c=0u᳝=1!;<(*)Ḅìä᪷ᑣᨵ᪷ïᦪḄᐵï2b2bஹ/ññ᳝+q2=------^2=-----]<஺<ò....................9ᑖaa¥<12ᡈX>X|/(%)vO,ó2Vx<᳝fr(x)>0,ᦑõᦪ/(᜜Ḅ⌴øùú![q2,᳝]ᵫ⚪#u[%2,O]=0ûüIs—”=1%—஽1=2+·ᵫ(I)uOW?<1ls—|Ḅþ¼
ফ4)…12ᑖaa(III)ᵫ/'(ᐗ)+஺<(),BPax2+2bx+a+c<0,BRax2+2bx-2b<0,
a<0,ᑣ/+2.2X—2-2>O,᦮ᳮ(2X-2)2+/>o,aaag(2)=(2x-2)2+r,#$%&'ᐵ)2Ḅ+,-ᦪ/aaaᵫ⚪1g(2)>02)ow&lឤᡂ8/aaᦑ:ಔ<ᓽ::+2ஹ-22/@A_1ᡈD6_1,[g(0)>0,[x~>0,ᵫ⚪1/[/:,+OO)G(-OO,-A/3-1]U[V3-1,+OO),ᦑGHA+1,IkḄᨬLM
J5-L..............16ᑖ32.(SL⚪Tᑖ12ᑖ)UV(1)W⚪1/XYZ[4Ḅ\M'0,1,6,8.332£^=0x0.1+-x0.9x1+-x0.9x6+-x0.9x8஺4.2.……12ᑖ88833.(SL⚪Tᑖ14ᑖ)UV(1)'T2=a2-b2^AC2=4W2-……2ᑖk?:0b/•PF1PF,.......3cX2ᑖA\PF^+\PFf=(2c)2=16/n2.……5ᑖ2

47ᵫfᙊhi#j▬|+1mn=2a=2o஻/(|q+|mᵨs=16/+8=24ᵨ2,…6ᑖtou2=1/v2=4w=4,c=2..•.x(-2/஺)ஹm2(2,0).................7ᑖ(2)VF](-2,0),F(2,0),2ᵫyjV|0%|=z|0M|/ᓽ|Q/v=2|QMv/ᡠ$ᨵV|஺ὡs=2(|஺5P(x,y),…9ᑖᑣ(x+2)~+y2=21(x-2)~+—1,…12ᑖᓽ(x—6s+y2=32(ᡈ~2+/+12~+4=0)tY(x,ᡠ/ᡠ
V(x—6)2+=32.…14ᑖoipx34.(SL⚪Tᑖ14ᑖ)---------------UV(1)ᵫ%+i=an+6an-i/a+i+2an=3(an+2an-i)(n>2)nVa)=5,a2=5.*.32+2a)=15ᦑᦪᑡam+2%'$15
✌⚗/3
@Ḅᦪᑡ........5ᑖ(2)ᵫ(1)a“i+2a=5-3"ᵫhᦪ#(an+i-3"i)=-2(an-3n)liBPa„-3n=2(-2)n-1ᦑan=3n+2(-2)nT=3"+(+2/...........9ᑖ2(3)ᵫ3h=n(3n-an)=n[3n-3n+(—2)n]=n(—2)n,bn=n(+222?S=lbil+lb2l+...+lbl=j+2(2)2+3(^)3+...+n(j)nnn|s=(1)2+2(1)3+...+(n-l)(|)n+n(|)n+1...............11ᑖn22nঠ++(|)3+…+(|)f(|)n+i=^_J^Lnᔣ=2[L+ngI22T•S=6[l-(3)n]-3n(3)n+'<6n⌕11+21+...+11ீ11)2)nWN*ឤᡂ8,m>6...14ᑖ35.SL⚪Tᑖ14ᑖ¡X.X,<*+.
2=—ᧅ=஽=¥UV1
—24,¦§¨¦'2©ªᡂ8,0,஺ᦑ஻Ḅ\M
4............5ᑖ2
U+-ᦪ¡

48®¥᝕2_]—----------y-J"+2=஻------+2....6ᑖ¬2%²2uk2~\ok~ᵫ00..,./(«)=«-+2ᙠ0,~º'»-ᦪ,7ᑖu44“2kz-\c/42kஹ21ஹ/ஹk2-\<---+2-...2H—--(-----)zᡠ$(---%)(H2)=”------+24k24k2k2X%uZᓽ¦&21©ÂÃ---Ä¡----12¡Å7+ᡂ8.9ᑖXºx2K2U¥ÂÃÇÈḄ&ÉÊ¡᳝x42--+27Ë€¬¥±+3-x2᳝k24,+Ï+!+ÑÒ¡+Ó+Ô+2¡k2-4XJXk2-4XJX(X-x)222}2XXK~4XXj4¬2122Öᡃ2-4%Ø2=%-²2/Ùᐭ(Xj—x>(4-k?X[X?-4k2)(--^|)(--_%2)_7)226ᑖx,x2k4k2xx212*.*(%i—%2)2-0»kN1©4—k^x^2—4k2-4(1—Z?)—ᦇ~&/<஺,.(᳝(4—&-X]Ø2—$~)<0,4k2xx12ᓽ¦©ÂÃ'1k29—X])(---~2)ீ(7+7")ᡂ8.9ᑖ᳝x22K3U+-ᦪ¡[-k2k)k2u+ߟߟ+2=/(w),ᑣui2i2ᓽfvu/G¡2ue0,âºឤᡂ8ḄkḄ.10ᑖ441ஹ3ஹ/k2ஹ2zᵫ2¡j/⌕++ã¡++஽¡2ä+~¡2å1᳝/஽¡6஺ឤᡂ8/æᨵ0ீGÅ1,I1+᝕2ு0,

49-k2I----I----/-ᦪ/@MB=+LDL+2ᙠO,jn7º⌴ê/ᙠëஹ@í,+oo¡⌴»/.....12ᑖU஻2k2k2I——r⌕-ᦪ/®ᙠ0,ᓃºឤᨵ/஻¡2/L¡,æᨵᓃீ&+42,ᓽ^+16%2+1640,444U0<%2«46—8..........14ᑖU¥ÂÃÇÈḄ&ÉÊ¡1ஹ/1,,k2,2%,—x¡~4—"x.x—4k"¡ᵫ2¡#jz++ð¡++x¡----¡-=ñ~~2ߟò2-------,2᳝x2k4᝕~஽2⌕ÂÃឤᡂ8/æ4+42%~2+4@ឤᡂ8/........10ᑖ4+4"2ᓽ᳝஽4ឤᡂ8/.......“ᑖkk2k24+4஻2ᵫ0<᳝஽~óீ¡/ᓽ%4+16@+1640/.......13ᑖ12244kU0<42«4A-8.IÂÃ~+ô¡1~+஽¡2ë+£¡2ឤᡂ8Ḅk2Ḅ'02=3஻2জ.....2ᑖ᧕jýᯖþFḄᙶ᪗
6b,0,⚪ᨵABᡠᙠḄ
y=x-y/2bঝ.....3ᑖᵫজঝᨵ4x2-642bx+3b2=0ঞ!ᓛ#,8%2%'ABḄ()"+ᡭᵫঞ-./0ᳮᨵ:X1+%23&b/T-,72,X஺="--=-Jo=xo72b=---b.ᡠ?K஺'=&=—1ᓽ
ᡠD஺......5ᑖ/32GHIJK
L☢ᔣOḄ!PQRᵫL☢ᔣOQS0ᳮTUV!L☢ᑁḄᔣOX

50ᨵYZᨵ!T[ᦪ4஻^_`a஺M=/1஺4+஻஺8ᡂd஺M(x,y),ᵫ1)(ᔜ)Ḅᙶ᪗ᨵ:(x,y)=2(^,yk)+/j(x,y),22ᡠ?X=lm+/n2/=2%+Ḅ2஺.....7ᑖo)ᙠpᙊCsᡠ?ᨵ(Ἢ+u2)2+3(v+02w=3x᦮ᳮ
22(%,2+3yJ)+//2(X2+3y2)+2Au(xx+3%
)=3b)஺ট22Jl2-3b3b2ᵫঞᨵX|+%2=--ߟ—,Xj,X=40ᡠ?2Xm~2+3x%=x\x2+3(!H-y/2b)=4xx-3v2fr(X1+x)+6b2,t22=3b2-9b2+6b2=0oAஹBᙠpᙊsᦑᨵ(xj+3y|2)=362,22+3
2)=3/ডঠডᐭটJ_22+//2=1o.....11ᑖTUpᙊsḄ!)M,ᙠ!T[ᦪ^`a஺=/L0A+஻08ᡂdX2+஻2=1ᙠᙶ᪗x-o-y()P(/l,஻)?x
?0P
Ḅ
6,¡ᯠ£=cos஺,஻=sin஺஺¨©ªTUpᙊCs«!)Mᙠ6(6WR)^`aOM=cos0OA+sin0OBᡂd஺37ஹ(1)¯°!M(±y),ᑣᵫ⚪_wl=ly+2l-l,.......1ᑖᓽ³+(>_1)2=|y+2I·y2-2]+(y—1)2=y+1,ᓄ¹_/=4yk.......3ᑖ·y<—2»,y/x2+(y-l)2=-y-3,........4ᑖᓄ¹_x2=8y+8Hy<-3¼ᔠᦑ)MḄ¾¿CḄª/=4y........5ᑖ(1)¯°À•.•)Mᑮ)w(1,0)ḄÃÄÅÆᑮ/y=-2ḄÃÄÇU1,.,.)Mᙠ/Ḅs)MᑮF(1,0)ḄÃÄHÆᑮ/':y=-1ḄÃÄÉ`.......3ᑖ

51.••)MḄ¾¿Cª?w
ᯖ)/
ËḄÌᱥᡠ?ÎCḄ
=4)>.......5ᑖ(2)·mḄÐ᳛¼ᙠ»ÆHÎCZᨵ!Ò)¼ᔠ⚪mḄ
y-2=Z(x-2),ᓽy=+(2-2k),ᐭ/=ᑖ_/!4Õ+8Ö—1)=0(ਮ).......6ᑖØ=16Ö2_2Ù+2)>0TsGRឤᡂd,ᡠ?,ÜHÎCឤᨵݼÞḄÒ)Ò)A,BḄᙶ᪗ᑖß
4àᨴ),3஺2
)ᑣ%]+/=4ã=8(ᦇ!1).......7ᑖজᵫå=4XY=1_)Pª'Ḅ()/.x+x=4,ᑣ?=4,_&=1.1.஻?ḄªX-y=0.......9ᑖt2ঝ•/AB1=-X|)~+(#-è1)2=J(1+é!+X]/-4X.X]]=4-^(1+k~)(k~—2k+2))OᑮmḄÃÄd=.-,ViTFS=giABId=411—11J/—21+2=4j(A—+1—1)2.......ioᑖMB0v5=4V2,4^-i)4+a-i)2=4V2,MBO(k-1)4+(Jl-1)2-2=0,(^-1)2=1ᡈ¨—I-=-2(ïð).•.%=0ᡈ஽=2.......12ᑖ·s=0»(ਮ)Ḅ¯
±2óôᓛ=2^2,x=—2V2,õij/l=—~=3—2-\/22-2V2-1ôa=-2ø,X=2ᑣ=)ùú=3+2û.......13ᑖ-272-2·Ù=2»(ਮ)Ḅ¯
4±2óôM=4+141,X,=4-2øᑣ=-2-2,=3+2û■2-272

52ôü=4—2^,x,=4+2V2,WJ2=-2+2^=3-2V214ᑖ-2+2V2ᡠ?2=3+2óᡈ2=3—2ý38ஹ¯(1),•)þ(஻,S஻)ᙠᦪ/(x)=r+2xḄ/.S”=/+2஻(஻£N*),n22an-Sn-Sn—i.=2n+1.nnltn=l4=S1=3!"#ᡠ%ᦪᑡ'4(Ḅ)⚗+#,a,=2஻+1....3ᑖ(2)ᵫ/(x)=/+2x0123/'(x)=2x+2♦.•67ᓃ(஻,S“)Ḅᑗ;Ḅ<᳛,>/=2n+2.h„=2*»a„=4-(2n+l)-4".T=4x3x4'+4x5x4?+4x7x43+•--+4x2஻+l)x4”জnᵫজX4,34T=4x3x4?+4x5x43+4x7x4"+--4I2n+1)x4n+l@nজ-ঝ3L-3T=4[3x4+2x(42+43+---+4H)-2n+l)x4,,+l]n=4[3x4+2x4-m"'-(2"+l)x4"+1,-.T=^1-4"+2--.....7ᑖn_1-4Jn99(3),/Q='x|x=2஻+2,neN*!,R='x|x=4஻+2,neN*(஺cR=R.k•,c”wQcR,ᐸZq\஺cRZḄᨬ^ᦪ/.C]=6.,:'%(\+c\4ḄdᦪI=4m+6(mGN").110<4m4-6<115h•.,11Oᡠ%'%(Ḅ)⚗+#,%=1In-6.......12ᑖ39ஹjLS-3S+25„_,+1=0S-S=2(S„-S.,)-1n+1nn+1nna=2a-\[n>2)-----2ᑖn+1n

533hq=a=2r!"#/.a=2a-1(/?wN')=>a-1=2(a-1)(஻£N')2tt+]nn+]n.,•ᦪᑡ'q—1(\+t,2,✌⚗,4—l=gḄmtᦪᑡ-------4ᑖa]=_LX2"T=2"-2---------6ᑖ"2ঝS„=a+a+...+a=(2-1+l)+(2°+l)+(2'+l)+...+(2"-2+1)t2n®S=a+a+...+an]2n=QT+1)+(2஺+1)+3+1)+...+5+1)2N-1(27+2஺+21+...2"-2)+஻-----+n---------x9ᑖy2z\lim^~~-=lim-^n~~—=lim-~~^-=2----------(]2ᑖ)XTOOQXT82"T+2XT8122+F40ஹjL(1)x=gḄ=Lx3“)+/(…)='=/(-)+/(-)nnn2nn(2)a„=/(0)+/(-)+-.•+/(-)+/(I)nnYl—11h%=/(1)+/(——)+-+/(-)+/(0)#nn2%=[/(0)+/(I)]+[/(-)+/(=)]+…+"প+/(0)J=tnn2a=(஻eN*)aᵨ%=,ᦑᦪU'a“(\mcᦪᑡn4_4বbn—1n+b?+…+=16(1+++…+<16[1+—^ߟ+—^ߟ+•••+Tn122221x22x3n(n-1))23n=121+(1)+0...+(=16(21325“T

54ᵫq=2஺+13஺2=4஺a=+4=4a+4,/."஺0,........4ᑖᓽ'2(2⚗\%2,+tḄmtᦪᑡ஺........5ᑖ(2)S=a+(4a+^"'"1)=-3a-4+(la+2)2".......8ᑖnS„_(24+2)2"-3.-4_3஺+42+n22,S^-(2«+2)2,,-|-3a-4-(4+1)2"-—3a—4•••ম(\mtᦪᑡ•••A_(n2)\¡ᦪ,S,i4.13a+4=0,ᓽa=---஺.........11ᑖ3(3)ᵫ(1)¢”22,b„=(4a+4)2"-2=(a+l)2",2a+1(஻=1)ᡠ%413ᑖ~(a+l)2n-n2(n>2)ᡠ%ᦪᑡ'4(,2a+l,4a,8a-1,16a,32a+7,…£ᯠᨬ^⚗\¥¦⚗U1Ḅ⚗஺.......15ᑖae(0,,)ᨬ^⚗,8a-l4&=■!■ᨬ^⚗,4aᡈ8a-l.....16ᑖ4aᨬ^⚗,4a•ᨬ^⚗,4aᡈ2a+l.......17ᑖ2ae(g,+oo)ᨬ^⚗,2a+l஺........18ᑖ42.jL(1)y2=4........4ᑖ(2)lJV(ߟ,—t)(t>0),ᑣA7(®2f),F(l,0)o°,MஹFஹNᐳ;ᑣᨵ´•M=&F.......6ᑖV—t2fᡠ%T'=j3=J5,8ᑖ"¶T4

55ᡠ%·=¸=2¹,10ᑖ2-1°º»;MNḄ¼½\y=2j5(x—l)஺.......11ᑖ(3)“⌮ᔣÁ⚪”LজâÄᱥ;CLy2=2px(pு0)Ḅᯖ7,F,67FḄ»;ÉÄᱥ;CzPஹQ7l7PᐵzxÌḄÍÎ7,R,ᑣ»;RQÏ6Ð7A(—«,0)஺.......13ᑖ2ÑÒLl6FḄ»;,y=k(x—^),P(X1,y),Q(x,y),ᑣ/?Ô,Õ)22y2=4x2ᵫ0)Ḅ»;ÉÄᱥ;CzPஹQ7l7PᐵzxÌḄÍÎ7,R,ᑣ»;RQÏ6Ð7A(-m,0)«ÖÚLÛᡂÝjÞᨬß37ᑖᐸZÁ⚪3ᑖ஺à22“⌮ᔣÁ⚪”LâåᙊCL=+=1Ḅᯖ7,FI(-c,0),F(C,0),6F?Ḅ»;ÉåᙊCzPஹ2a2b22Q7l7PᐵzxÌḄÍÎ7,R,ᑣ»;RQÏ6Ð7A(U,o)஺CÖÚLÛᡂÝjÞᨬß39ᑖᐸZÁ⚪4ᑖ஺à“⌮ᔣÁ⚪”¦Lâçè;CL_£=1Ḅᯖ7,F|(-c,0),F(C,0),6F2Ḅ»;Éçè;C2/2hzPஹQ7l7PᐵzxÌḄÍÎ7,R,ᑣ»;RQÏ6Ð74é,0)஺ÖÚLÛᡂÝjÞᨬß39ᑖᐸZÁ⚪4ᑖ஺àᐸêjÞë᯿íᑖ஺

5643.(1)஺஻+à=5+2஻஻,°,a1=1,ᡠ%î=,஻3=2•............................................2ᑖ16-8a84n(2)°,>0,ïᵨ>0,ᡠ%16—8a“>0,00,ᡠ%a“+|%ðñ.....................................6ᑖ°,q_9=_L<0,a,--<0,a,--<0,…a“L<0,ᓽa“<(....................................................................................................8ᑖ(4)ᑐுFhf஻_531,5ஹ31,31,ó1o+ᑐ"GG4,-1)--o5"஻-1—Si""422-%422—%22--ᡠ%%<2•õT<22.a_2<…<2"T"=2f................................................................12ᑖIi/1\3-"J(1-2")iᡠ%S“=b.+b,+---+b-\-----------=-(2"-1)................14ᑖn"12"42প1-2444.(1)4a=l/(ö=3/_3,®(x)=0,3x=0ᡈx=l..................................2ᑖX€(0,l)f'(x)0஻x)ᙠ(0,1)ᓫø⌴úᙠ(-8,0)ul,+8)ᓫø⌴û/(x)Ḅ᩽^ý,"1)=2……4ᑖ(2)Vf'(x)=3x2-3a>-3a..........................................................................................6ᑖ...⌕ÿ
x+y+m=0ḄwR
y=/(x)Ḅᑗ
-l<-3a,a<—..................................................................................................................................8ᑖ3বg(x)=|f(x)|=k3-3axiᙠ-1,1Ꮤᦪᦑᙠ0,1ᨬᜧ.......9ᑖজ040"#f\x)>0,஻x)ᙠ0,1ᓫ&⌴("0)=0,g(x)=|/(x)|=/(x))•F(a)=/(l)=l-3a..........................................................10ᑖঝa>0"r(x)=3x஺-3a=3(X+G)(X-G)i.,ᓽaNl"g(x)=|஻x)|=-஻x),-f(x)ᙠ0,1ᓫ&⌴(/"F(a)=-/(l)=3a-l...................................................................................................12ᑖii.0<஽<1,ᓽ0

571°"l)=l-3a40ᓽ"g(x)=|/(x)|=—/(x)ᙠ[0,F|ᓫ&⌴(ᙠᓫ&⌴2,ᦑ/(஻)G#/(H............................14ᑖ2°/(1)=1-3஻>0ᓽ0/(l)=1-3aᓽ_2)஻+9(2)•Gwᦪ/(x)=3/—(a+9)x+6+2axyᔣz{1=——Ḅ|ᱥ
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770,0/«),ST⌕t஺k(2)M§ᦪf(x)ᙠ\ᵨᓫ¹⌴¦,ᑣ0—6s+0+9-st=-st/ᓽk=$f<(?)2=(஺ᓽke(0,),s,fGÅÈé2—3x+k=0Ḅ¿᪷!HnëÕ3—J9—4A3+J9—4~ஹ"ìÌᓝᓽÊᙠs------------,s=----------ST⌕t஺229ík}!%0<᝕<&!Êᙠ¿ã:´¯ᦪsj(s

78(2)na=2(a+a+...+a)n+]i2ll(஻l)a“=2(4+%+“.+4"-1)ঝজঝ}"஺ò("-1)஺“=2஺“ᓽf+|=(஻+l)aó!ᡠa“=a=1——...—^—=n(n>2)ᡠa“=n(nGN*)[qa40T12n-1211!বᵫফ}õ=:ö+1=7஻+஻>2>%>•••>%>஺!2Kᡠ÷øùGᓫ¹⌴¦ᦪᑡ!ᦑ⌕b<1(“0}x>0;2ᑖᵫr(x)<0}-l——+2,8ᑖ\e)ee

79.-.XG&,/(x)Ḅᨬᜧ¥e?-2,ᦑÿுe2-2,/஽)<ឤᡂ.9ᑖ_e_(3)/(x)=x2+x+஻ᓽx+1—21n(1+x)=஻."g(x)=x+1-21n(l+2Y—1g'(x)=1------=-----.ᵫg'(x)>0)xு1;ᵫg'(x)<0)+1gফ>g(l)10ᑖᡠ-:஺ு1<=>:3—21n3:2—21n2:a=2-2In2ᨵ+B=>:a<2-21n2<=.13ᑖF1ᡠG,ae(l,+oo)U(-oo,2-21n2)<=>ae(3—2In3,1Jᡈa=2—2In2ᨵL+=>ae(2—In2,3-2In3JᨵDBḄ=.14ᑖ67=P(1):a=1জ(x)=(d+x+জ'(x)=e-*(-x2+x).…(1ᑖ):(UIVᡂ,()<%<1;জ'(x)<(),x>lx<()....(3ᑖ)...জ(x)ḄᓫY⌴5Z[\(0,1),ᓫY⌴3Z[\P(-oo,0),(l,+oo).……(4ᑖ)(2)ᑗ^Ḅ_᳛\k=g'(0)=-e-[=-1,,ᑗ^\y=-x+l.……(6ᑖ)ᡠbcdef☢h\S=j[e—(—x+l)]<7x=j9*+x—l)dx=(—e'+—x"-x)lj)=——.……(8ᑖ)(3)(I>'(x)=(2x+a)e~x-e~x(x2+a-tra)=e~x[-x2+(2-a)x]»...(9ᑖ)oজ(x).=0(2-a)=(4-a)ea~2....(12ᑖ)tJ5A|஻(a)=(4-a)eT,஻'(a)=(3-a)e"-2>0,஻(a)ᙠ(-8,2)15ᦪ……(13ᑖ)஻(a)«4(2)=2<3,ᓽ(4-a)eT#3,ᙠᦪa,জ(x)᩽ᜧ\3.……(14)

8068ஹ=P1
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81(2):°M(x,%)ᐵ^y=2xḄÎÏ\M,(x,,%),0'_4y_3xAzAx2=-1,00xo-x\τ+5______8ᑖ=)©---------ioᑖ_3y-4x%+-=2x%+%.Ñ+0022:.3᳝+4%=-5x.-------------11ᑖ0X2V2VP(%,y)ᙠᙊCP1+)=11•,--2.•/¬»osZF,AF=1Þß....................2ᑖ2ᑣᨵ9á.¬=91ßெã»0$/"”2À91㻬2TἘ+ᡠ-|Ἐ=3|ã]...................3ᑖæ»4+»ç2»24,.•.,ᵨ=é,,Ú»].................4ᑖᙠ&4çëÃᨵ|Ἐ,=|¬(+|ëìgpfyl=(|)+4"—1),=)"2=2ï2ᡠbᙊM\—+y2=\..................6ᑖ(II)ð.ᓽ=ñ_ò.ñ_¬À(+6+6.ñ_Ἐ=(-Ἐ2-NF2=±-]..----*2õ6öbḄᨬᜧøᓄ\bNPḄᨬᜧ...................8ᑖ2PᙊM1Ḅú+|ç(û,)ᑣᨵ3-+ü2=1ᓽ/2=2+2%2ÁN(0,2),ᡠ¦b2=x2+(y-2)2=-(y-2)2+10.................10ᑖ0006ᡭw[-1,1],ᡠ-:%=16)¸ᨬᜧ9

82ᦑÿ•᪗Ḅᨬᜧ812ᑖ71(I)ᵫ0A-OB-{m,V(n,-V3/z)1ᑖ=-2”=2.•.஻?•஻=2.............4ᑖ4(II)Pᙶ᪗(x,y)(x>0),ᵫ=E+(x,y)=(m,²>m)+(஻,-®஻),=(m+n,y/3(m-n)).............5ᑖx=m+nvm,ny=yj3(m-n)x2-=4mn,!"mn=4-8ᑖ342•PḄ#$%&'2(=1(>0)X)⊤+,ᙶ᪗-./0ᯖᙠx34056372,ᯖ84Ḅ9:;2x2-^-=lḄ<=........9ᑖ(III)@;/Ḅ%&x=ty+2,BᐸDᐭCḄ%&3()+2)2-/=3ᓽ(3f2-1)/+12^+9=0᧕(3/-1)/0(ᔲᑣ0@;/ḄJ᳛±6,)NOP;QR0STᔠ⚪W)!X=I44r2-36(3Y-1)=36(Y+1)>0“(\0]),"“20%)0ᑣ,+%=ab0%%/NCḄcdeV,Nᙠy3Ḅ

83!ᵫ᳝+&ooqᳮ0t/t.......11ᑖJ2-Xj=3(2-X)2ᵫME=3£7^g2—{0%i=3g2—஽0iIf=3%ᵫM+%=-3%+%=-2%=^^■=ᵫ=(-3%)%=-3y=£]—T—0Y=400tltஹ13ᑖ3Y-1153ᦑᡠ@;/ᙠ0ᐸ%&—y—26=0ᡈJi?x+y—26=0.......14ᑖ72.

8422.⚪⌕ὃᦪ%&ஹSḄ¡¢0⌕£¤¥ᑭᵨᦪḄ%¨©ªᦪḄ«¬ឋᨬ®⚪0¯°ᔠᳮḄ⌶²0᪀⌼ªᦪḄ%¨µ¶S.ᑖ14ᑖ.:(1)//(x)=x+—,gz(x)=a+l»....................................2ᑖxZf(x)=yx2+alnx-(a+l)x,•:/(x),g(x)ᙠ¸¹[102]4ºᓫ¬ªᦪ5)¼Ḅᓫ¬ឋ½q02./'a)g/(x)=——-(a+l)^O,xw[U2],/.(a+l)(a+x2)^O,............4ᑖxᡈ0>T(0¿-1),!(--)=-4,஺1b•஺<-4ᡈ஺>1.......................................6ᑖ(2)•.,H0(x)=x+g_(a+l)=x2(a+Dx+JJ஺(L?).஺=*]ᡈx”,XXX!Vx?-(a+l)x+a=OᨵcSÆ᪷aஹ/5a<È0᜛w(l,e],a=1,=ae(l,e]»...........................................8ᑖ.•.Êxe[a,0Ë0//q)40,Ì//Í)ᙠῚ,614ᓫ¬⌴Ð0•••A(X)E=H(l),H(x)]=H(জ,ᑣÓÔWḄ᳝,஽€[a,Õ],IH(xJ-HOOKH(l)-0(0=g-(a+l)]-[la2+alna-a(a+l)]10ᑖr(a)=-a

85a-^,Ö(J«a)=a-1-Ina>•Êaw(l,e]Ë0Z*(a)=l-->0,Ì«a)ᙠ(l,e]ᓫ¬⌴×0.................12ᑖaÌr(a)>rz(l)=o,.-./(a)Øᙠ(l,e]ᓫ¬⌴×0ÌS|H(x)-HQ?)|<1ÓÔWḄÚ,Ûw[a,0ᡂÝ.............14ᑖx73(I)Ê0

86(1)Êâ<'<1,ᓽl00ÊË0f'(x)0,öËg(a)ᙠ(1,÷4óתᦪ0oo0,öË0g(a)ᙠ-,34óתᦪ0g(a)Ḅᨬᜧóg(3)=23—b.23-b<0,b223.......ঝ......................13ᑖᵫজஹঝ6ᦪ஺Ḅûýóᓃ223.......................14ᑖ74(I)ÿᙊCḄ2=1(஺ு/?ு())ᑣa?—஻2=i.……জ……1ᑖra~bb2b2lᚖx!"A,B%&ᙶ᪗ᑖ)*(1,+),(1,-+),aa—►—►h2h2h4h45:,OAOB=(\.—)•(1,——)=1++01++=-,ᓽ஻2=6/.......ঝ…3ᑖraaa"a6ᵫজঝ78஺96//_஺2+i=o..<=j_ᡈ=?(@8).23

87i3?rz""஺2=C.DEFᙊ஺ḄG+2B,2=].......................5ᑖ223IIIBJKᙠMNᩩPḄQ/.@1BQ/ᚖx!"ᵫ@IBḄRSTU|4V==᝞ᯖ&EᑮZ[QḄ\]Z1d=---c=L,E"aMNd="|A8|.c2211DEQ/ᚖX!"aMNᩩP.......................7ᑖI2gQ/aᚖh!"JQ/Ḅi᳛kᑣQ/Ḅy=kIx-1g.y=Z(x-l),ᵫ,2x2(6k2+2)x2-I2k2x+6k2-3=0,p+2/=iI36k261-3J%&Ḅᙶ᪗ᑖ)I/1g,Ir2gᑣs+t23/+1'X'%2~6k2+2\AB\-yj\+k2\x—x|=J(1+_2)[(X]+஽)2-{]஽]t29ᑖ}JABḄ~&M/ᑣx==MAABP"QMPḄi᳛k=--.MP33k2ll+k23(k2+l),/xp3k2+122—Vk'2(3+1)....................11ᑖAABP"|ᓽᨵ▢ᓽᔉ.ᩔ’R9A?=1,᝕=±1.13ᑖDEMNᩩPḄQ/KᙠQ/Ḅx—y—l=0ᡈx+y-l=0.……14ᑖj21175R(I)v—=(-1)"-----,=(-2)[——+(—l)"T],..........3ᑖA„%T%%

88}0-+(—1)=3,;.ᦪᑡ,-+(—1r1*✌⚗3,—2ḄᦪU.5ᑖ«1—+(-l)H=3(-2),,_|ᓽ—6ᑖan3-2"-1+1(II)b„=(3.2"T+194”+1+62஻-1+1.1¡4")+6¢(1-*+"=3.4+62+”9.S.=9.9ᑖ1-41-2(IH)..+⁐C(+1¤1ಔ23(-2),,_|-(-I)"3-2"''+110ᑖ111஻23"ᑣT“-----------------------1--------3------+-••+3+13-2+13-22+132"i+11111§1ߟG)"<-+-+-----T------r---------r473-223-2332"i2811-1211lJ_11147484rivl212862286848474:7]<¤<73/.•.©ª«ḄneN*,T<-.14ᑖn76ஹ(1)/(x)=*(ax+2)(x-1),/(0)=?/(0)=-2aᡠ®ᑗQ2x+y+'=0a᝞'(°)=0(2)?0±=——,x=laa—2"/(x)ᙠ!²ᡡ⌴ṑ¶(·ᓫ¹⌴º-42,1)aaḺἔ·½◀¿0J(x)R+2஺À0"/(x)ᙠÁᵯᓫ¹ÃÄÅ(1,·ᓫ¹⌴º--)aa(3)aு0",X32_21(+—)(--,1)(l,+oo)aaaa+0-0+f\x)º᩽ᜧȽ᩽ÉȺfM

893v/(—)>0,/(1)<0aL஺ᨬÉÈa•+,e"+320©^^£,+8aa|_aaG(0,ln3]x—277ஹ(1)a=2"ஹf(x)=------/

90xÍ(Î0ÏV7+2,1/((2)=xm~xIn}/ফ=0ᡠ®ᑗQy='-(x—2)................................2ᑖIn2(2)1°0Vx<^>a>x-y/xInxInx—2—InxÓg(x)=x-y/~xInx/gfM=ÔÓh(x)=2\G-2—Inx,h\x)=~^=--=~ߟ-<0yjxXX0/z(l)=0,h(x)•g'(x)>0,ᡠ®g(x)ᙠ(0,1)·⌴º,g(x)int,Inx>0,ᑣ^--->Vx<=>al"஻(x)>0,6(x)ᙠ(L+oo)·⌴ºxுl"h(x)>h(l)=0,g'(x)=^g>02y]Xᡠ®g(x)ᙠ(L+8)·⌴º•g(x)>g(l)=1T.a<1?..................5ᑖᵫ1°Õ2°9஺=11ᑖ

9178ஹR(I)Ö⚪«UQ/*Øᦪ/(x)=lnxᙠ&(1,0)ᜐḄᑗQᦑᐸi᳛k=;\1)=Î=1ᡠ®Q/Ḅy=x—1i9}DQ/Gg(x)Ḅàáâᑗᡠ®ᵫ<1,7=>-x2+(m-l)x+-=0I229A=(஻2-I)?-9=0>m=2(᪷=4aᔠ⚪«@8)1—y(II)D஻(x)=/(x+l)—g(x)=ln(x+l)—x+2(x>—1),ᡠ®஻'(x)=-----1=—x+1x+1-lQ;xு0"A'(x)<0DEæ(çᙠ(+1,0)·ᓫ¹⌴ºᙠ(0,+8)·ᓫ¹⌴½஺DEx=0"/?(x)è9ᨬᜧÈZz(0)=2h—a(III)"-1<----<0,ᵫ(II)U-1<%<0"h(x)<2,B|Jln(x+l)],ì),ᑣIAM1=J1+᝕2I/+11,....................1ᑖIAF1=J(X1-1)2+ᨴ2=ï/+1)2+4Ô=|+11,.................1ᑖX1ᵫ41AMi=5IAFI94&+ஹ2=5,3R9ò=±ó..................2ᑖ4êôA&ᑮ[Q\]d,Q/Ḅõia,ᵫöᱥQḄøùUIAM1=2",................2ᑖ44cosa=±---P--Q\AMI53/.k=tana—±—.................3ᑖ4(2)J஺(x஺%),A(X],yJ,B(x,y)22v2=4xᵫ_962_4y+4᝕=0,.................[ᑖy=k(x+1)✌ᐜᵫ<,9+1ீ&<1᝕7016-16Z:2>0

92Jo-Jiy-y44_20Fÿ^^082ᑖy+y024444ᵫQA,QB---------------=-1,...................2ᑖ%++ᓽJo+(+)+"2=-164!•*•Jo-+~Jo+20=0,..................2ᑖA=(1)2-8O>O,-gwzwg()70,ᵫ+1<%<1(᝕.0-ஹ(ᱏ]%Ḅ2356——,0U0,—..................3ᑖ.5)\5.80.<᪆(1)>?ᙊAP(x,y)E6?ᙊPFGHFᑁᑗᑣM-1N+/=P+2|-1RX-—ZᑣJ(x-1)஺+/=x+]n—4x,X<-2,ᑣJ(x-1)2+W=+.+3=y2=8(x+1),FX<-2XY.ᦑ?ᙊAPḄ[\]^F6ᯖ`*=+16abḄcᱥbᐸfg6y2=4x-……4ᑖg1x,0%5),ᑣy+F=2+z,{.F=1,4\AD\=\AF\+\DF\=|+1+}+1=4+p■=2,.4_.,R|=2C],ᑣk2

93ᦑuᙠqbmM=2C|ᡂqb=l.……9ᑖmxঝpqbmḄs᳛uᙠᵫজ3=(+DQ-1)=-=1pqbmḄs᳛uᙠ|^5|,|CD|=(|^|-1).|jDF|-1)=(2-1)(2-1)=1.ᦑḄqbឤ¡¢=16G3.……13ᑖ81<পᵫ⚪¥a=l,b=0,.-./(X)=X2+2X......2'>©ᦪy=f(x)¬iḄ+`0(%,%)ᐵ¯`Ḅ°`6P(x,y),ᑣ᳝)=-x,y=-y<..............4ᑖ0E6`஺(²ᙠḄ¬³ᵨX)-y=x2-2x,.*.y--x2+x,.\g(x)=-x2+2x....7'ফF(x)=—+2x—2(x?+21)=—(1+4)ᔆ+2(1—4)xN(x)ᙠ(-·]¸©(¹ºF(x)=-2(l+2)x+2(l-4)20ឤᡂ……9ᑖᓽ24i»=»+-1ᙠ(-i¼ᡂ/............10ᑖ1+x1+xᵫ½——1ᙠ(-1,1]i6¾©ᦪ............12ᑖpX=12ᨬÀ30,............13ᑖᦑ4W0,ᡠÃḄ235](-80].....14'Ä<•"(X)ᙠÅᵯ¸©ᦪ+•.N(x)=(-2—2/l)x+(2—24)ᙠÇÈÉ

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9831)sᦪ“x)ḄOÆÇm—],0)u0,+8).Ì/X)"{ÎX)=_2="+Dx,3).......2ᑖ)x+—xx2x+—)223ᵫ//x)>0,X5Vx<—1ᡈ%>3,ᵫÕ஺)<0,X1<%<0ᡈ0<ᑍ<3.3X×X1)±3,+8)msᦪ/পḄÙno,—1,0)±0,3)msᦪ/X)Ḅrno............5ᑖ)(2)=X:%g(x)=gx+m=Inx=,+m=[=InxX;ᡠlßᦪmḄ¢£¥àmsᦪ஺x)=lnx-gxḄ£Ç........6ᑖ)Ì°x)"{“X)=x2a“(x)=0,x=2,x>2ä,“(<0;0<å<2ä,“(x)>0...x=2ä/X)¢ᨬᜧ£,஺(x)max=஺(2)=In2-1.QXk▲êë0äInxk▲êëX8,-‘Xk▲êë0,2íᨵ=1nx-gxk▲êëX8.sᦪ°x)=lnx-gxḄ£ÇmX8,ln2-l]ᓽßᦪmḄ¢£¥m-8,1112-1]...........9ᑖ)[&]:#$gx)=gx+ðᨵßᦪ᪷ñògx)=gx+óôy=lnrᨵöᐳ.,gx)=gx+Môy=lnxøᑗäm¢ᨬᜧ£.……6ᑖ)2y=gx+fôy=Inxøᑗᑗ.%ú஺஺,%).ᑣÌy=Inx"{2X஺,1y=-᪷Gøᑗᐵᡭ=lnx0x஺=2,#=In2,íf=In2—1.X1y<)=~xo+tᡠlmḄᨬᜧ£mIn2-1஺᧕ðKln2-läy=gx+óôy=lnxþᨵöᐳ..ßᦪmḄ¢£ÿᔠ
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99(3)᪵Ḅᦪkᙠ஺............Q0ᑖ)!☢#ᵨ%&'ᩭ&)Ꮇ+ᙠᦪk,,-ᐵ/xḄ12/(x)=kg(x)ᨵ789:Ḅ;ᦪ᪷=>?2,ᑣ'32ln(x,+-)+—=k

100,জXl/01)=B()2CK2V
ᦪ஺32Wᵫ(1)YUZI1>0[Z/(x)=/(x)=ln(3++3>°min3232/F)=1n(x+-)+--,/\)=ln(x+-)+—>0.]22%1>02x2]ᵫk>0,Y-g(xj=Inx>0,g(x)=

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F{(l,+8)sḄឤ~QᦪZ1?2ZZ1.lnx232Wᵫ/(1+—)+—
F{(1,+00)sḄឤQᦪZ12xx32ln(l+)+—2a᳝ஹ132•G1+ூ)+—2XX22

102323232ln(l+——)+—ln(l+——)+—ln(l+——)+.Inx2xx2xX)2x*•----}<---------}-----}<=>--------}----->--------0=---/*஺ᵫiiLAIn/lnxn(+)+22XX22ᩩḄᦪkᙠ................14ᑖ86ஹI+/12ex=Ay+4,ᐭV=2px-V—2ᑗ£-8P=0+P(X1,y),Q(X,y),ᑣᨵ¥+¦=2§,¥y=-8p222¨©©=0,ᦑ0=x/2+%%=(¬+4)(h2+4)-8p=k2yly2+4)(%+y)+16-8p2ᓽ0=—8k2P+8ᦇ2஻+i6—8p,-p=2,ᯖ±F(l,0).(II)+R(x,y),ᵫ¨+¨=¨-(X]-1,¥)+(஽ᡠcᓛ+Z=x+i,y+¦=y¨y¶=4x”y¶=4X,Y-y(%-%)=(%+%)(%-8)=4(Cx¸2)2WFRḄ¹±ᙶ᪗e,22yIXW[ZᑭᵨkpQ=%Ḅᨵ3=½ᓛ=—T—yx,-xx+1¿22᦮ᳮ-Z2=4x-28.yIᓛ=஽[.ZRḄᙶ᪗e7,0,/=©—28.ᡠc£2=4x-28ᓽeıRḄÅÆ12.87ஹÇ᪆1ᵫ⚪ÊYUa-c=&-lJc2+/?2=&,Ç-”=VI,/7=c=lZÐᙊḄ12eᱏ+.=1¶22ᵫ1-/1,0,ᡠcOW஻?W1.Ꮇ+ᙠ⚪ÊḄ/,+/Ḅ12eÔ2y=Zx-l,ᐭN+ு2=I-2Õ2+M-×-+2Ø-2=0Z+AFZ¸Z8஺2,IZÙ14+Ú=Z^"ᵨ=ÜÝজZM+y2=k&+X2-2=ᜧß■Z'-2k2+11-2k2+12—+1

103CA+CB=(x,xá,y)+(x-m,y)=ᓝ1x2m,2k2+])Z22•.•(5+ᙠ)_L⁰Z¨ABḄ1ᔣᔣæea#),4k--2k.Ú..2—¶----2mH---¶---xk=00(1-2in)k=m2k2-12k2+1.•.I0wm<¶[Z&=ᓽᙠ᪵ḄI¶IéVáK1[Z᝕ᙠZᓽᙠ᪵ḄI22288ஹÇ1B⚪ÊZ+Ðᙊ12ej+A=la>/?>0,ᑣᐸìᯖ±ᙶ᪗ea2h2Fvc,0,c^yja2-b2,.......1ᑖᵫIEBI=2,-"?xï2+o—ম=2,ᓽc—02+2=4,Ç-c=2ñ஺........3ᑖ22222xy1W•••6=2Z,a=c+b=12,ᓽÐᙊ12eÝ+==1஺……4ᑖ1242ᵫIAMI=IANIU±AᙠóMNḄᚖõᑖs,y=kx—2ᵫy2ö÷y-x+3øx22=121124ᓽ1+3Õ2»2x12ú=0*........6ᑖᵫ᝕û0,-12*ḄA=—12Z2=144/>0,ᓽ12*ᨵ789:Ḅ;ᦪ᪷஺.......7ᑖ+MXüZHஹN
X,yZóMNḄ¹±,%,22…12kx4-x6kx7ÙX,+X)=~XQ==~1221+31°2\+3k6d-2(1+3%2)-2'ᓽ0þy=kxn-2=1+342)9ᑖ01+311+31

104•••ÿH0,APḄ᳛ᓃ==2=21+᝕~,.........10'6k6k1+3ᦇ2ᵫAPLMN,2-2l+3#2x&_],................11ᑖ/.2+2+622=6,+#k=±——/ᓽtana=±——/...12ᑖ337T\ᑍ2ᦑa=—ஹᡈ஺=——,66JTஹᑍ••7ᙠ/9:⚪<=ᐸ?@a=A=ᡈ஺=B஺..........13ᑖ6689ஹ+#IᨵS/1-S*᧕IIᵫa*+i+%=4%+2a*+i-2%+2=~va—2»=,,•=-1*ijj-2n2P=2ᡠRS=2nIII...gi+3<]/«jAn2+8w+490ஹ+#IᵫXYP=ᵨ-1,஻2=4,4=2஺=2\+஺3=2஺2,]•a—1+2a=8,ᓽQ=3...................2ᑖq=2,`ad=a—a—2.21ᵫb=ka+"[ed=....................4ᑖ[2+'"7x2=25502ᓽᦇi+ᦇ—2550=0.+&=50ᡈᦇ=—51jk..,.a=3,Z=50....6ᑖHᵫS“=஻n+2oS„=2n+nvn~^x2=n2+n.……8ᑖ22••®=¶="+1……9ᑖ.•.{஻,}staᦪᑡ.ᑣ4+4+x1+...+“_|=3+1+7+1+11+1+...+4஻-1+1="+#஻஻……]1ᑖz+%+41+...+஻4“_]—2n~+2/1..............12ᑖ

10591.+#1
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=•,""-=/2"=-/7I4ᑖ92.+#(1)ᐙᑖឋ#^a2+b2=0/.a=b=0.f(x)=x\x\<ḄXERᨵ/(-x)+/(x)=஺/(x)᜻ᦪ=ᦑᐙᑖឋᡂ.2ᑖ⌕ឋ#/(x)᜻ᦪᑣ<ḄxcRᨵ/(-x)+/(x)=0ឤᡂ=ᓽ-x|-x—+஻+x|x-a\+h=0{x=0,b=0{x=a,a=0/.a2+b2=06ᑖo(2)ᵫ஺<2-3V0,x=0஺<ᦪtឤᡂ0Vxீl/(x)V0ឤᡂ=ᓽx+—VQVX---ឤᡂXX{g(X)=X+2ᙠOVxWlᓫ¢⌴¤=Q>gmax(x)=g(l)=l+610ᑖX{MX)=X-2,ᑣ஻(X)ᙠ(0,6ᓫ¢⌴¥=J¦,+8)ᓫ¢⌴¤1஺6<—1/?(x)=x—2ᙠOVxWlᓫ¢⌴¥XT.a

106a<%n(x)=2j-a2x2+(a-3)x-3a>0,.(x-3)(x+a)>0xw[l,2]ឤᡂ,2•.,x-3<0ឤᡂ=.x+a<0xe[l,2]ឤᡂ=a<-x,X-xe[-2,-l].a<-2.(2)ᵫ/=3-3)2-4(/-34)20#14443,®¯a=p,ᑣg,7•ា²³´᪷=ᵫ¶·¸ᳮ#জp+q+r=3,q=ra2-3a,p2+q2+r2=a2+(q+r)2-2p=a2+(3-a)2-2a2(-3a)=9ঞ½p'+/+/=/+(g3+/)=/+g+.ᓃ¾-^r+r2]=3«3-9a2+27.¯8(4)=3/—9/+27,|À#g(a)=9]-18a=9a(a-2)aw[2,3],g(a)>0,g(a)⌴¤aw[0,2],g(a)<0,g(a)⌴¥ae[-1,0],g(a)>0,g(a)⌴¤,gভᙠ[-1,3]ḄᨬÃÄmin{g(-l),g(2)}=min{15,15}=15(3)H(a)=--[g(a)-2Æ=—'(3/—9d),᝞É஻©(0Ë)=ᑣ663iH'(a)=3a——a2=3஺(1——a)>022”(a)ᙠ(0,1)⌴¤ᦪ=.H(a)e(஻(0),Hপ)=(0,l),va„=H(%)=-,(3a]-9a2)+1n6/.ae(0,l)=>«w(0,l)=>•••=>/e(0,1)=>Ï•Ï}2]3o[2—%"~2a"+]Ñ%=^/(Ò2)(%-l)<0,:.a„0,6>0).ab-a2+b2=1,ᵫ×CḄÛÜE=Þᯖàc=lᨵ#<13+ãL1,26áâ.b——2

107ᡠRÛÜEḄ²³:(2)åæ##A|(-c,0),B(0,c),ᵫᓭ=(3+2è)〉#”(0,ê,22/+஺2=,2জ¯ÛÜEḄ²³]ߟì=1(஺í0/ு0),...\23c2c஺2b2ï=1CAa~4b~জðᐭঝ=ᓄô᦮ᳮ3a4+6a2b2-b4=0,:.(-)4-6(-)2-3=0aa+(2)2=3+2jia2e?==1+Ë2=4+2Vi=e=-4+2÷=6+1,ᓽÛÜEḄøSøsùcúaaᐵḄüᦪ஺3Ꮇ¯7ᙠᦪᙠþaÿ=%”•ឤᡂA4-",%,V3-C+--2--•Z2_ᨵ%1+2r32c"=1তFf@2B8"cFᙠ!"#Eᦑᨵ4a24b2,21+/I21+2C2(A-2)23C2A2ট4«2(l+/l)24/(1+ಘ2'3c2c~஺2—4ᵫঞ2e2—3.=4nW=£_2ঠb~b23ঠ6ᐭট2ভ_4)•—;\=1,ᓄ>᦮ᳮ2A/Ie?+e?=22+14(1+2)24(1+4)2ᓽE=4•ᑭᵨ2H⚪ḄKL2MN=OP£=R8e2+26+2V341CᦑUᙠVᦪN=XYឤᡂ.495.(1),/f(x)=ax2+2bx+c,ᵫ⚪]^_ᦪḄ`a]b2f(1)=a+2஺+c=0জf(M=am2+2bm+c=-a®

108f஻0Ihᵫজ2c=-a-2b,klᐭ஺0,2x2+2(-)>0,#-<-2,^->0@aaaaᵫঞஹ@W-o<—0qr/'(x)=a/+2+c=0(*)ᨵV᪷xix,2fᵫ/প=a+2b+c=0=1qr(*)ḄAV᪷ᑣᵫ᪷ᦪḄᐵ2ᓰ+X,-1<0Xi,/(%)<0,/<%<1]/(%)>0ᦑᦪf(X)Ḅ⌴[X2,Xj],ᵫ⚪[X2,X]]=t],2bbIST1=1/-x1=2+—,ᵫ(1)0<—<12Is-tIḄ£¤¦[2,4)2aa(3)ᵫ/(x)+a<0,ᓽax2+2Z?X+Q+c<0ᓽ+2஺]A2஺<0a<0,2/+¨-¨>0,᦮ᳮ2(2X-2>.+X2>0xaa8(2)=(2©-2)9+/,iª«¬ᐵ®2ḄA¯ᦪᵫ⚪]aaa°>o±®஺42<1ឤᡂᦑ²প-°ᓽ²A+2x-2202X4_"2g_1aa[g(0)>O[x2>0ᵫ⚪]¶,+oo)c(-OO-A/3-l)u[V3-l,+oo),ᦑ42ᑁ—1,¹ḄᨬH¤g-196.(1)V/(-1)=0,T.b=a+l,ᵫ/(x)20ឤᡂMA=b2-4a=(a+\)2-4a=(a-I)2<0,,[(x+1)2(x>0)T.a=\,»¼/(X)=X2+2X+1,½.F(X)=Z-(x+1)2(x<0)(2)ᵫ(1)/(x)=x2+2x+1,.,.g(x)=f(x)-kx=x2+(2-k)x+l,

1092-Z-2-"ᵫg(x)ᙠ¾-2,2¿ᓫÁᦪM—R4A2ᡈA"22,<-2^,k>6.22(3)•:/(x)Ꮤᦪ...f(-x)=/(x)¼a>0,.-./(x)ᙠ¾0,+8)ᦪ±®F(x)/x>0,—x<0,Ä(ߟX)=-/(T)=-/(X)=—F(x),x<0-x>0,F(-x)=/(-x)=/(x)=-F(x),F(x)᜻ᦪÇÄ(x)ᙠ¾0,+oo)ᦪ,mn<0,m^nÊËপ஻z>0,“<0ᵫÎ>A஻>0஺(Î)>Ä(A஻)=-஺(Ï)F(m)+F(n)>0.(")zn<0,n>0,ᵫ஻>-m>0/(“)>F(—m)=—F(ni),F(m)+F(ri)>0.ÐiÄ(")+Ä஺)>஺97ஹÑM1Pᙶ᪗x,y,ᑣ«x+D+2=Ö,ᓄ>2x+3>+y2=8,Vx-12+y22ᡠª"#CḄqrx+32+y2=8½2"#Cª-3,0ᙊP2^ÙÚḄᙊ"#C'ÖÛÜAÙÚ2ÝḄᙊ(-3,0)ᐵ®Þ#y=xḄ±ßḄᙶ᪗(0,-3),ᡠª"#C'ḄqrX?+(y+3à=8,ÜᙊḄᙊP(0,-3)ᑮÞ#y=x+m-3Ḅâãdd=l0"(-3)+m~—=æ/7I2+(-D2^2^wABO=XdxIAB1=X6/X2-JS-d2=-^(8-x=V7=1,ᡈêAë7,ᡠªm=±V2,ᡈÎ=±Ji4஺2298.পÑMa=2a-n2+3niᓄ*+1+9(஻+1)2+4(n+1)=2(a+An2+pn),n+1Hnᓽa“+¿=2a“+An-+—2A)n—A—//.............(2ᑖ)A=—l(=-1ᦑ஻_2N=3Ñ2~......................(4ᑖ)஻뿾-2-//=0lï:.a=2a-n2+3஻iᓄ஺஻+¿-(஻+1)24-(n+1)=2(-n2+n).....(5ᑖ)n+·nf%-ð+1ñ0.................................................6ᑖᦑUᙠ;1=A1,4=1Y2ᦪᑡb“+Î2+ôõöᦪᑡ.........7ᑖফøùMᵫপ2a-n2+n=a-l2+l-2n-,Aa=2"-'+n2-n,H1n

11011ᦑb=A——(8ᑖ)n+஻—2஻2Tn14422________________________(9ᑖ)n24H24/?2-12n-l2஻+1An>2Ht,S„----------)"123"35572n-l2஻+l2511ᑖ2/7+136nûøS.>5>2).(n+1)(2”+1)஻=2S஻=bi+b?=1+½=3,¼6H_124—5>—4(72+1)(2«+1)-3^5-545ᦑ஻=2vᡂ12ᑖ“23ᵫa=ë>---=-AAL2n[n+1)nn+1s“=4+%+®+…+6“>(1-7)+-1)+4-7)+,,,+--22334nn+l—1=---,Çᵫ2஻+1>621>---,஻+1஻+12஻+1S>.>6஻14ᑖ஻72+1(஻+1)(2஻+1)99ஹÑMIÿ⚪
a=9^+10=100ᦑ=102q“22«„=9S„+10«„=9S„_10%L=10+11+ᦑ,ᦪᑡa==]o“஻eN*,nlga“=”lga-lgo„=(n+l)-n=lᓽlga஻ᦪᑡfl+lIIᵫI,T—3(------1-------FAH-----------)"1-22-3+1)31.11-1A1-1)=3-2(2+23++n஻+1஻+133(III)-T=3-஻=17ᨬan஻+131°!⚪
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111%+(஻+D%-%T.᝞==22=2=1b.%+2-4+1-1a+|—aTa\-a„-12n+31b[\Q#]✌⚗\Q]`aḄcaᦪᑡ.423131(II)ᵫ(I)fb=--x(-y-'=--x—,"4222",31,314ᵨ-1=~2><27,a2~a'~i=~2,X2h\iᔜklmn!/3/11ஹ,3202"-1)1’31.33CL=+஻-1----X-------------=F(pQ1)(1-------)=----F஻Q2"'2.1222'i2"1---24=ᱛ+஻-2.(Ill)rQ!sᙠ4=2,uᦪᑡkSG[cvᦪᑡ.nS"=q+%+…+%=3ὡ+*+…+/)+(1+2+…+")-2"=3XI1^+^L2஻=3(-)+-+Z+3..122"22"21-----2--(1-1)=[+4+…+242"1--2ᦪᑡHN[cvᦪᑡḄᐙ⌕ᩩ|[S±"=An+B,(AஹB[}ᦪ)nnᓽS“+AT=An2+Bn,n0”3n2-3nஹ33ஹn2-3n2ஹ<ஹs“+^T„+3+2(--+—-)—+3O(/11--)(1--)¤¤.,.1Q4=0,ᓽ2=2ᦪᑡ"+”<]cvᦪᑡ.2nCI2Tr#!sᙠ2=2,uᦪᑡ^[cvᦪᑡ.n

112ᵫI
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f%+=஻—2.•S஻+27="஺1BQ2஻@஻+1
S“+/17_2-2”-2/"+'/“_^3+22nn2n-2_J_'4UW3133T“=b1+b,T----\-h—-------------=—1-----
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n2n22w+,cI2T•1=2ᦪᑡD——B[cvᦪᑡ•n