高考数学压轴题精解99题

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1.ᦪ/(x)=«x-2,g(x)=y(x)-ax,xe[l,3]»ᐸy|x-l,2ீxK33--aeR,ᦪg(x)Ḅᨬᜧ!"ᨬ#!Ḅ$%//(a)஺2-(I)(ᦪ4(a)Ḅ*᪆,-1-(II)./ᦪy=//(x)Ḅ012ᢣ//z(x)Ḅᨬ#!஺K12342.56ᦪ/(x)=x—ln(l+x),ᦪᑡ;4<=>0E=^D+|2$஻+1⊈K஻eN*.(N:প0<—-(H)«<-(III)TᑣV.WB+1t3.56XYᙠR\Ḅᦪf(x)^W=>_(1)/(%1+x)+/(x,-x)=2/(XJ)COS2X+46rsin2x(xxeR,a%eᦪ)-2222p2(2)/(0)=/(?)=1-(3)VWK|/(x)|W2(_(I)ᦪ/(x)Ḅ*᪆,-(II)eᦪaḄh!j.224.4/K%),8(l,,%)mnᙊ0=l(a>b>0)\Ḅpq,ᔆb~=>(s,\)•(2Kᓛ)=0,nᙊḄvw᳛6=yKz{|%2,0%ᙶ᪗q.baba2(1)(nᙊḄ-(2)TABnᙊḄᯖqF(0,c),(c%ᯖ)K(ABḄ᳛kḄ!-(3)_^AOBḄ☢mᔲ%X!᝞mKN-᝞mKᳮᵫ.5.56ᦪᑡ;%<ᔜ⚗%:12ஹ1122ஹ111222ஹ...ஹ11.....122....2(1)N¢£ᦪᑡḄ¤¥⚗¦mp£§¨᦮ᦪḄ.(2)(¢£ᦪᑡªn⚗«¬S..

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Nᦪg(x)ᙠ`a(-1,1)bScᦪ
$dᦪcḄfgi;τ3(II)]஻'^প$*+klmḄxe[0,l],p(X)rlḄᐙ⌕ᩩvSCW“(2)NᐵyXḄdzᦪ{|p(x)=0ᨵ~d᪷᜛
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a,=2,a,,=a+cn×cSᦪ
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6RPPM=0.(I)পr/Pᙠy.t/MḄCḄL(H)\&ᓰ,%)ஹ8(ᓃ,)C?/=>1,%>0,N(1,0),ᦪ2,&=h=|29ஹNOᙊWḄ¡ᙠ¢/ᯖ/ᙠx¤¡᳛¦?ᩩ¨KḄ©¤6.ᙊWḄªᯖ/F,3«ª¨¬xḄ/Mm®ᩩ¯᳛-QḄ/¬ᙊW-°Ḅ?/Aஹ8,/AᐵxḄ*/C.(I)ᙊWḄL(II)WXCF=AFB(2eR)(III)☢³SḄᨬᜧ.30ஹNOµᱥC:y=a/,/PQ,-DᙠµᱥC«/¸®¯᳛¹ஹ¡Ḅ?ᩩᑖ»µᱥC¼/PḄ?/A5yi),B(x,y),=ST½+&=0.22(I)µᱥCḄᯖ/ᙶ᪗L(II)!/MSTBM=MA,/MḄ.31.\ᦪ/*)=LÀ3+Á2+“(4<6<஺)ᐸÃÄᙠ/A(1J(1)),8(Æ,/("?))ᜐḄᑗḄ¯᳛ᑖ»0,a.

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834.12ᦪᑡMNOPQq=5,4=5%+i=a“+6a“T("N2).(1))]Ma“+i+2a“O^_ᦪᑡ(2))ᦪᑡM4OḄ`⚗bcd(3)3""=஻(3"—%),!g+h++hீjkl“eN*ឤᡂp)qḄrs35.12uᔠ஺=M(wN)|x>஺x>0x+x=kO(ᐸ0k}~ᦪ).2t2(1)”=/82)”Ḅrsd(2))](^c(-ߟxJ('—x,)W(8-2)2k(ᑁ,2)€஺ឤᡂp;w%-2k11L2(3))<^c(᳝)(X)>(----)2k(,஽)€஺ឤᡂpḄbḄ.2X1*2NK36ஹ12ᙊC£+4=1(a>b>0)Ḅ᳛}⌭6*ᯖ,!᳛}1Ḅ;ᙊCl4,a2b23

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1040ஹ)Çᦪ/(x)kxWRÆᨵf(x)+f(l—x)=g.(1))/(-)W(-)+/(-)(«eN)Ḅsd2nn(2)ᦪᑡM%OPQâ=y(o)+/(-)+/(-)+-••+/(21)+/প,)ᦪᑡM஺,jḄ`⚗bc஺nnn416(3)Ab"=------,T=ä+å+ᱏ+…+,S“=32¥_èTn¸SnḄᜧ·஺n4%-1n41.12ᦪᑡM%OḄ✌⚗q=2a+l(aᦪ!aw—1),a=2^+n2-4/7+2(»>2),ìJBh„DnḄ✌⚗4=a,h-a+n2(n>2)»nn(1)]íM£Oîï2⚗ðñ2}b_Ḅ^_ᦪᑡd(2)S“}ᦪᑡM஻,OḄÁn⚗Â!MS,,O^_ᦪᑡ)òᦪaḄsd(3)a>0()ᦪᑡM4“OḄᨬ·⚗஺42.12óᱥ;CV=2px(p>0)¤,ᑮᯖ,FḄ³_ᑮy÷Ḅ³ᜧ1஺(1))óᱥ;CḄIJd(2)É6ᯖ,FḄ;óᱥ;lMஹN,Mᙠïø▲!|MF|=2|NF|,);MNḄIJd(3))Ëúᦪûü⚪Ḅ~þÿ
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11Ḅ56”.2567
Ḅ“⌮ᔣ”⚪89#“$%&'┵)☢+,4,56:2/',”;33<89#“$%&'┵Ḅ56=2ᡠᨵ/☢☢6?ḄᨬAB”.3Cᨵ%DE⚪FGH4-J,0)ḄMNOPᱥNCFy2=2px(p>0)ZPஹQ^H_HPᐵZx`ḄaHR,ᑣMNRQdGᯖHF஺hijkE⚪Ḅ“⌮ᔣ”⚪lmnoᡠiḄ“⌮ᔣ”⚪஺43.pqrᦪf(x)=u^^,_%⚗ᦪᑡy%{|}~=1,a„=/(«„).+l16-8x(I)ᑏ஻2%ḄB(II)hḄᜧAlᳮᵫ"45஻1(III)_ᦪᑡ<{|}/S0=Z".Fn22,&<(2"-1).4E-1444.qrᦪf(x)=x-3ax(aCR).(I)a=l2f(x)Ḅ᩽AB(H)$MN¡x+y+m=Oa¤¥ḄmGR§¨#©Ny=f(x)ḄᑗN2aḄ«B(III)_g(x)=|f(x)|,xe[-l,1],2g(x)ḄᨬᜧBF(a)Ḅm᪆´.45.ᙠ¶☢M·ᙶ᪗º»pq¼HᑡyA,,{,yB,J,yCJ,ᐸ»C„(n-1,0),|}ᔣÀA.A”+|ᔣÀÁC.ᐳN,ÃH(B,n)ᙠÄᔣᔣÀ(1,6)ḄNj4=a,b--a.](1)hᵨan⊤Ça(n>2)n(2)$ÈḄ^⚗»=Éᨵ⚗#ÊḄᨬABh2aḄ«B஺

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NVᙠ^_`ᳮᵫ.50.cdeᦪ/(x)=ax3+31-6ax—11,g(x)=3l+6x+12,!=.B&y=h:+9,f/(—1)=0.(I)aḄg:(II)"ᔲVᙠhḄg=.ij"-.y=/(x)Ḅᑗ.f"y=g(x)Ḅᑗ.:᝞mVᙠYnḄg:᝞mNVᙠ_`ᳮᵫ.(III)᝞moDᡠᨵp2-2Ḅx,qᨵ/(x)4fcc+94g(x)ᡂrsḄtgv.

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162ஹ,2r55”,:;Aஹ8=>ᙊJ+==l(a>b>0)ḄEᩩG+M(2,1)=AB!+IMJᯖ+I>ᙊḄLMa2b1JNOMḄPQ4B"M4,-1).(1)TPQḄUV᳛e,,Xe⊤ZJ>ᙊḄ[\]\Ḅ^ᦪ.(2)`>ᙊḄUV᳛=PQḄUV᳛Ḅ᎔ᦪb+>ᙊḄcd.(3)f>ᙊ\]\Ḅ124.56:;h/(x)=-ஹ4+4,ᦪᑡk%mḄn஻⚗qJS“+V(4,EEt)ᙠQVxan+xy=/(x)_b(HeN"),zJ=\,a>0.n(1)ᦪᑡk{mḄ|⚗}~(2)ᦪᑡ/“mḄn஻⚗qJT“+z")=—+16஻2-8஻-3,TḄ2+ᦪᑡkm=ᦪᑡ(3)hS„+2

1757ஹ:;ᦪᑡkajḄnn⚗qJSn+zai=2,nan+i=Sn+n(n+l).(1)ᦪᑡk%mḄ|⚗}~V;(2)T7“JᦪᑡmḄn஻⚗q+ᓾ58ஹ:;ᔣ=)(a>0),X^(x)=-ax2-aḄᢥᔣmᑮ^ᦪg(x)Ḅ஺a2a2(J)^ᦪg(x)Ḅ⊤~(II)^ᦪg(x)ᙠ¡¢,2£¤Ḅᨬ¦2J§ভ+§ভḄᨬᜧ2஺

18TT:;ª«¬ABC-A4GḄᔜ«\ᙳJ2+°«BBl±☢ABCᡠᡂ´Jµ,z°☢ABB1&J_±☢ABC.(1)·h¸ᙠ☢ABC¤Ḅ¹º஺JABḄ!;(2)»☢´C—4ᱏE8Ḅᜧ¦(3)Cᑮ☢AḄ½U.60ஹ᝞+:;¿«┵S-ABCO!+=Â\JaḄê´Ä+☢&4஺_L☢ABC஺+¿ÂÄABC஺JÆÄ+ZDAB=60^,PJAOḄ!+஺JS3Ḅ!.(I)hPQ஻☢SCD;(II)»☢´8-PC-QḄᜧ¦.61.TËᔠW=Îᑡ$ÏᩩÐḄÑÒᦪᑡkamḄËᔠhজÔঝ%4Mᐸ!஻GN*,M=nÑᐵḄÙᦪ.(1)kaj=ᦪᑡ,Sn=ᐸnn⚗Ḅq,a=4,$3=18,·hkS,,mEW3(2)TᦪᑡkÛḄ|⚗J2=5஻-2",zk2meW,MḄ124;(3)TᦪᑡkImḄᔜ⚗ᙳJÃ᦮ᦪ+zkc“meT.·:c„0Et

19(2)`æ22b+J4᝞ÎᩩÐh`20b,4=⁐è;`4-”-<0b,%+4-1,,-—>4=é2êëÎᑡì⚪h(I)·ᦪᑡk4-4m=0ᦪᑡ(II)îᦪᑡk”(஽-a,,)mḄn"⚗qJS“+:;`a>lb+limh=O,lim5”.(Ill)”("22)=஽>ᒹ>…>aḄᨬᜧ᦮ᦪb+ᵨæ,.⊤Z஻ḄᩩÐ.63.:;^ᦪ/(x)=lnx+ó+ax,xe(0,+8)(aJôÙᦪ).(1)`a=0b+“X)Ḅᨬ¦2(2)/(x)ᙠ¡2,+8)¤=ᓫ÷^ᦪ+aḄ124(3)Tᔜ⚗JÃḄÑÒᦪᑡ*"mInX,,+óE<௃(஻eN*),·hx,,Wl(nWN*).64.T^ᦪ=/+ù(xு0)Ḅy=4NᑗM(l,4).(I)/஺)=/+62+¸ᙠ¸*(0,4£¤Ḅᨬᜧ2ᨬ¦2(H)=ᔲþᙠ$ÏÃᦪs,f(s

20ᦪ;Ḅ=.65.@AᦪᑡC4“FG,a=\,஻a.+=2(q+஺2+…+%M஻.N*).B(1)"O,஺3஺4*(2)"ᦪᑡC4“FḄP⚗?*(3)1ᦪᑡC"FTUV=Wᵨ=W2Y+","ZYb„

2167>@A/({=/+ax+a(a<2,XER),g(x)=e~x,জ(x)=/(x),g(x).(1)஺=1"জ(x)Ḅᓫabc*(2)"g(x)ᙠ~(0,1)ᜐḄᑗx=lg(x)ᡠ=ᡂḄḄ☢*(3)ᔲᙠmᦪ஺জ({Ḅ᩽ᜧ3?ᙠ"#஺Ḅ+ᙠ,-.ᳮᵫ.68ஹ@AᙊGY+11=1("ு6>0)Ḅ᳛/*)=x+2~ᙊஹᙊCiḄab3¡¢ḄᙊO¤ᑗ஺(1)"ᙊCiḄuv*(2)1ᙊCiḄ¥ᯖ~H§ᯖ~F2,6©~F”«ᚖtᙊḄ¡®ᚖt¯ᚖU~P±PF2Ḅᚖ²ᑖ´bt~M,"~MḄ·¸C2Ḅuv*(3)1C2x´t~Q,+ºḄ2~RஹSᙠC2;«TU½•¿=0,"1À1Ḅ=஺69ஹ@AR,F?ᙊC:Ã+'=1(aுb>0)Ḅ¥ஹ§ᯖ~~P(—ஹᔊ,1)ᙠᙊ;±PF2yḄ´a~b~MTU¿+È'=0஺(1)"ᙊCḄuv஺

22É2ÊᙊC;ËW~MÉXoyÉÊÊᐵty=2xḄÍÎ~M1ÉxyO"3xÃ4yiḄ=஺by70ஹ@AA8,CᙳᙠᙊM:Ñ+V=1É஺Ó1Ê;A8ஹACᑖÔ©ᙊḄ¥§ᯖ~ÕஹF,2•
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”..2AC-ὡ6=0ᨵ9AF]=AF].ÉIÊ"ᙊMḄuv*ÉHÊ1PᙊM;ḄËW~ØÙᙊ%:%2+ÉÓW2Ê2=1ḄËWᩩ¢"È•᪗Ḅᨬᜧ.71.᝞4Ý6ÞÊß6É஻,-à஻Ê2~ᑖÔᙠáOSஹ0T;ã,«½•½=—஺ᙶ᪗~~PTUÈ=½+½.ÉIÊ"”஻Ḅ;ÉHÊ"P~Ḅ·¸CḄuvå-.æ⊤èé᪵ḄÙÉêÊ/©~EÉ2,0Ê´ÉIIÊGCtMஹN2~RME=3EN,"/Ḅuv.

23,1972.@Aᦪ/(x)=+஻lnx,g(x)=(a+l)xH(x)=f(x)-g(x)o(1)ᦪ/a)ஹg(x)ᙠbc1,2;ìᓫaᦪ«æíḄᓫaឋ¤º"mᦪ஺Ḅ=;(2)aஹ0ᦪH(x)Ḅ23᩽~a<0,Aw(1,eT(e=2.71828…)஺"ZYÍËïḄXI,MWa,/?+4i1஻(ñ)W”(>2)1<1ᡂl73.1/(x)òóᙠW1,1;Ḅ᜻ᦪ«-lீx<0/(x)=2x3+5ax2+4a2x+h.(I)"ᦪ/(x)Ḅö᪆i;(II)l

2474.@Aᙊ஺ḄG~~/É1,0ÊæḄW3ᯖ~/©~ᡝᙊC´tA,82~«,—-5/ᚖtx஺4஺8=û.6ÉIÊ"ᙊCḄuv*ÉHÊᔲᙠ/,üᙠᙊ஺Ḅ§ý;þÿᑮ
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2575.'(ᦪᑡ+a,-a,=-,a„=./-1——(n>2,ne7V).4(T)%-2(I)ᦪᑡ+%-Ḅ;⚗=>?(H)Aa=-I,ᦪᑡᱥ,-ḄC஻⚗ESna.an)A%=᜜GH’ᦪJKe,,-ḄC஻⚗ELM4NOPḄneN*,T<~."776ஹV(Wᦪ/(x)=(Y2—x—L)e'“(aL0)a(1)_y=/(x)ᙠA(0J(0))ᜐḄᑗ(2)da<0fWᦪ/(x)Ḅᓫhij(3)d஺>0fmn>/(x)+p20,Nxej—a'+oosឤᡂv,aḄwxz஺aaJX—n77ஹV(Wᦪ/(x)=——ᐸ|஺}ᦪ.Inx(1)da=2f_y=/(x)ᙠ(2,/(2))ᜐḄᑗ;

26(2)ᔲᙠ}ᦪa,NOPxw(0,1)U(l,+8)/(x)ுឤᡂv?mᙠ!ᳮᵫmᙠ஺ḄxM!.1778ஹV(/(x)=lnx,g(x)=]x2+x+](0,/Wᦪ/(x)ஹg(x)ḄᑗWᦪ/(%)ḄḄᑗḄᙶ᪗1,(I)/ḄḄx(II)m஻(x)=/(x+l)-g'(x)(ᐸ|(x)g(x)ḄWᦪ)WᦪL(x)Ḅᨬᜧx(III)d06஺fa+24(a+஻)ᓃ+2/(2a)Ḅᜧ¡79ஹV(£ᱥC=4xḄ¥x¦§¨©ªM¬᳛®Ḅ/£ᱥC§¨AஹBW(AᙠVஹB°j).(1)/£ᱥCḄᯖm²Ḅx4(2)᝞£ᱥ஺®³ᙠQ,QAJ.Q3,µᜧḄwxz.80ஹᙠ¶☢ᙶ᪗¸|V(¹ᙊ+»2=1(Fᙊ½)¹¾X=-2,,ÀᙊFᑁᑗE1ᑗḄÂᙊP.(1)µÂᙊᙊ½PḄÃÄEḄ஺(2)Aª¹ᙊ½FḄÆÇÈÉ®Ê˧ÃÄE¹ÌF¨AஹBஹCஹD,জᔲᙠÏC|ᡂvÑmᙠÒᩩḄmᙠ!ᳮᵫ஺ঝdÕÖF×ÂfḄxᔲ¹xÑmÒعxm!ᳮᵫ஺

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2883.ᦪᑡ+%-Ḅ✌⚗=1,Cn⚗ESné°j²=——(»ë2).2S-1n(1)Mᦪᑡ+ì-Ḅ;⚗=>(2)Aᙠᦪk,(1+S1)(1+S2)…(1+S.)ZZᢈßTN
ᑗ஻eN*ᡂvkḄᨬᜧx.84.V(BஹF2ᑖñòᙊ=+==1(஺ë0Lë0)Ḅæஹóᯖᐸæ¥x¦§¨N,ahÉ=2ô,Iõ1=2.AAஹB®öòᙊ®ô=4ÉḄ÷ᐸ|(1)øòᙊḄABḄ¬᳛Ḅwxz(2)AAஹB÷ᑖñÀøòᙊḄᑗ÷ᑗ§¨
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293285.V(Wᦪ/(x)=ln(x+—)+—,g(x)=Inx.2x(1)Wᦪ/U)ᓫhij(2)᝞ᐵ¨xḄg(x)=x+஻?ᨵ}ᦪ᪷}ᦪ஻?Ḅwxüᔠ(3)ᔲᙠᦪk,ᐵ¨xḄ/(x)=kg(x)ᨵ÷ØnḄ}ᦪ᪷Ñ᝞ᙠkḄᩩþ᝞ᙠ!ᳮᵫ.86ஹ'(£ᱥV=2px(pு0)Ḅᯖ/A(4,0)ᱥP,஺.PQ"Ḅᙊឤ%.(I)'ᯖᙶ᪗*(II)+,+,=,/'0RḄ2345.87ஹ9:;ᙊj+4=1(஺ு?@0)AḄᑮCᯖFḄᨬFGHIV2-1,a~bFᑮA⚔ḄGHN஺(O0)IPOFAḄRS0.(I)';ᙊḄ45*(n)IᔲVᙠxXYᚖḄ/;ᙊAஹB[\(3+^)_,`aᳮᵫ.88ஹ;ᙊḄdefgᙠᙶ᪗%RS⚔A(0,2),CᯖPJ5)ḄGH2஺(1)';ᙊḄ45*(2)IᔲVᙠj᳛ZwOḄ/ny=Ax-2,[/;ᙊpYqḄrs

30\AMl=IANI,+Vᙠ'/Ḅvjwa*+YVᙠ`aᳮᵫ஺89ஹ9:ᦪᑡ|%~Ḅn⚗S“dRᑗ᦮ᦪnᨵS“=஻2+g%஺পan*+|+%=4஻+2*(2)'ᦪᑡ|%~Ḅ⚗;(3)=1…(1_௃2+1,I/Ḅa)n'n/(஻+1)

3192._ᦪ/(x)=x|x_a|+b(1)'n/(X)᜻_ᦪḄᐙ⌕ᩩ¼I/+/=஺(2)½ᦪᓃ<2¿-3,d¯°xe[0[],/(x)<0ឤᡂ¡'±ᦪ”ḄèÅ93.9:_ᦪ/(Æ=/+(஺-3)Ç+/-3஺(஺½ᦪ).(1)᝞Éd¯°xeU,2jJ(x)>/ឤᡂ¡'±ᦪ”ḄèÅ*(2)±ᦪp,q,rrsnfḄÎRSᦪាТa,ÑSា45஻x)=0Ḅ±᪷ᑨÔজp+g+r,ঝ×+^+/ঞ/+/+/Iᔲ¨Ú+I¨Û'Ün+YI¨ÛÝYI¨Ḅ⊤ß_ᦪg(a),'g(a)ḄᨬF¨n(3)d(2)ᩖág(a),"(a)=[g(a)-27,ᵐU{4}rs஺ᵨ=H(a“)(஻wN*),qe(0,1),6/ᑨÔ஺ᔣ஻஻ḄᜧFa.94.᝞éA”A2ᯖḄêëEí"cḄᙊOpC,D,GD”òóCGOBH,ᨵnõ=(3+2N),஺ᐸfA”A,BIᙊ஺ᙶ᪗XḄcêëḄíᯖG஺2(1)÷c=lø'êëEḄ45*(2)/nd¯°±ᦪc,êëEḄHg᳛½ᦪ஺(3)òóACêëEF,IᔲVᙠ±ᦪ%[ù=%ឤᡂ¡+Vᙠ/'Ü?Ḅ¨*+YVᙠÛ`aᳮᵫ.

3295._ᦪ/(x)=1ax3+bx2+cx(a஺)(-f(x)(x<)(1)/(-I)=0>?@A6ᦪᙳᨵ/(x)NOᡂF%G(x)⊤IJK(2)ᙠ(1)ᙠᩩNO%xe-2,2%g(x)=/(x)-kxᓫS2ᦪ%6ᦪkḄ;(3)1mn<0,m+n>0,a>0>/(x)Ꮤ2ᦪ%XY/஺஻)+F(஻)>0.97.ᙠ\☢^_ᙶ᪗bᑁᨵdefgᑁஹG?ijgP%ὡஹmᙶ᪗ᑖop(-1,0)ஹF(l,0),jgGqr2ᗞ'=jgPḄuvwxC,wxCᐵz^x)%=xḄ?{wxwxCL^xy=x+~-3wxC'zAஹBdg%Oᙶ᪗g%ABOḄ☢J7,(1)wxCḄK(2)mḄ஺98.ᦪᑡ%,a,=1,a„|=2a,,-n2+3n(nGN")+পᔲᙠ#ᦪ/Iஹ஻%ᦪᑡ“+2+8ᦪᑡ%ᙠ%4ஹ஻Ḅ%ᙠ%Yᳮᵫ஺ফ1¡=¢7^¤"+&—”‘XY©"*2‘(”+iK+i)

3399ஹᦪᑡ“Ḅ®஻⚗iS”,±=10,஺,ᵨ=9S“+10஺³I´X©1g%µᦪᑡ;(II)17Kᦪᑡ<-------------Ḅ®n⚗i,.(lga„)(lg«„)J+l³III´7K*³m2¬5ᵨ´?ᡠᨵḄ“€N*ឤᡂFḄ᦮ᦪ஻7Ḅ»ᔠ஺½ஹ³2஺஺9ᜩ¿¬À3ᨴᨴὃ´ÃÄᦪᑡ”.ᵫ”Å%g32%/ᙠ^x”%ᐸÀᵪ2,”+1-b“=a-a„-l,Xᦪᑡ/>„ᦪᑡ;n+i³2´ᦪᑡÈÉ⚗Kব1S“ஹᑖoᦪᑡ%ஹË,Ḅ®஻⚗i%ᔲᙠ6ᦪ4,ᦪᑡµᦪᑡÌnᙠ%,—ᙠ,ᑣYᳮᵫ஺

341-tix,11%2ᦪg(x)1,3Õ2ᦪ%Ï,g(x)min=g(3)=2-3a,g(x)max=g(1)=I—஺%ᡠÑᵨ(஺)=2஺¬1K--------4ᑖ(3)OWoWl%xw[l,2],ᑣg(x)=l-or,ᨵgফWg(x)«g(l)Kxw[2,3],Ûijg(x)=(l-a)x-l,ᨵg(2)4g(x)4g(3)KÝÏ%g(x)min=g(2)=l-2a,--------6ᑖifug(3)-g(l)=(2-3o)-(l-a)=l-2a,ᦑ%g(x)gব=2-3஻%ᨵ=l-஻K2஺'max%g(x)=g(l)=l-q%ᨵ஻(a)=aK--------8ᑖ2°'/max1¬2஺,஻<0l-a,01(II)äy=/z(x)Ḅæç%᝞éæ஺--------12ᑖKo--------14ᑖᦪêëᔠ%ìÒ(Òí=Ò2.Î:(1)ᐜᵨᦪðñòóXY(1)n=l,ᵫÃÄëôᡂFK

35(2)Ꮇ1n=k%ëôᡂF%ᓽ0<%<1.ᑣn=k+l%1XÝ00g(x)ᙠ(0,1)
ᦪ.g(x)ᙠ[0,1]!ᡠ#g(x)>g(0)=0.22$%00,ᓽe/(*)>0,+,4+.-------10ᑖ(HI)$%4=2,"+?!(஻+1)/,ᡠ#">0.72—22b2nhhh1ᡠ#5=---…—•b,2—n!----------জ,--------12ᑖ%*42"ᵫ:@ீBᡠ#C22,0

36ᐔ/(x)+/(-x)=2cos2x+4asin2x,জ%="7471Y/h+x)+/(x)=2a,ঝ712X)[--FX4f+x)+f(-x)=26ols-^+2x)+4asin27xঞᵫজ+ঝNঞ,jr1-cos2(—4-x)Y"(x)=2஺+2cos2x-2cos_+2x)+4a[1F"4a-------------2=2a+2(cos2x+sin2x)-2a(cos2x+sin2x)f(x)+V2(l-«)sin(2x+—)4(II)`xe[(lBasin(2x+-)e[—,1].442zy(1)V|y(x)|W2,`a(A:+4)x+2V3Ax-l=0x.+x,2=-------,x.x,=-....+=1r+4'2r+44~4ᑖᵫ]᝕23X\X2+#X|^2+—(ZcX)+A/3)(ZLX2+5/3)=(1H——)X|%2--~—(X|+%2)■*■—0b22a+4.1.s/3k—2,^/3k3,ஹ-----(--Z-)+-------——+N,Y᝕=±2(7ᑖ)4k2+44/+44~3`A%⚔aB%⚔.54,06=1~8ᑖ`4,B%⚔aABḄ{|%=+6

37y=kx+b2(^2+4)x2+Ikhx+b2-4=OW^ik+x=^3^-v2^-+x2=l-+4b?—4X|X,=-....2k2+4=஺="+++C஺ᐭ᦮ᳮYJ2FJ4পᑖX/2IwJ4k2-4/+16S=—IbII¦]—X[I——IhIyj(xi+x2)2-4ᓛ஽I—1+44------=12\b\ᡠ#ª«¬Ḅ☢®%¯r.~12ᑖ125(1)=-(10,,-1)10,,+--(10,,-1)........................(2ᑖ)=A(10"-1).(10"+2)=(-^ߟ).(-^—+1)..........................(4ᑖ)93310”-1³JA=------,ᑣA=33……3%᦮ᦪ27'••ci=A(A+l),Yµ...................................................(6ᑖ)(2)n஻999I12s“[—(1()2+1()4+……+102,,)+-(10+102+……]0஻)——n999(102n+2+11-10,,+1-198/7-210)...................................(12ᑖ)6ஹJ~I᧕஺=¸¹=2,஺=1,2.6=~N1,0,º2~1,0P~x,y,ᑣ¼•¼=~—l—x,—y-~l—x,—y=x2+½N1X2+4--X2-1=-X2+355xe[-V5,V5].•.`x=0,ᓽP%yᙊ¾¿Àa¼•¼ᨵᨬÃr32

38`x=±J^,ᓽP%yᙊÄ¿Àa¼•AIᨵᨬᜧr4(II)ᎷÇᙠlmᩩoḄÈÉ/᧕A(5,0)ᙠyᙊḄ᜜Ë`ÈÉ/ḄÌ᳛ÇᙠaÈÉ/Îyᙊ¦ÏᡠᙠÈÉ/Ì᳛Çᙠ%kÈÉ/Ḅ{|%y=Mx—5)B+[=1ᵫ{|Ð154NW(5^2+4)x2-50k2x+125A:2-20=0y=k(x-5)j⚪ÒÓ=20(16—80/)>o,YNÔ<%(ÔbJik-k=-l2FiK°~(~5p+4),20Pk,kF?R,25k24—205k2+4.,-20k2=20k2-4,,20k2=201?-4ᡂÝᡠ#ÇᙠÈÉ/,ÞYIF2c1=ᑁà1áᡠâÇᙠÈÉ/,ÞYIF2CITF2DI7ஹJ(1)j⚪ÒãÉMå#P%ᯖÈÉ/%çÉḄèᱥÉᡠ#ãÉMḄ{|%y2=4x.ªëFìíyY:(2)(i)ᵫ⚪ÒYÈÉABḄ{|%:y=-ê(x-3x2-10X+3=0,YL3.ᡠ#A(L,î),B(3,—2g),lABhx,+x+2--.23333ᎷÇᙠC(-1,y),ABC%磌¬ᑣIBCI=IABL&IACI=IABI,ᓽ(3+1º+(+2ñ2=(ò2,óôY:42+(y+2ê)2=(1)2+(y-õº,Yy=_÷(øù)g+l)2+(y*)2=(2$úÈÉ/ÇᙠC,ÞYaABCå磌¬.(ii)ûNJC(-1,y)ÞAABCᡂü«ª«¬,

39ᵫýÕ/~x-1Yy=2MúaA,B,CªᐳÉᦑyH2ᢈ|2=-1-2+2=+2,m2=2=IBC12>|AC|2+1ABF,ᓽ28+4y+y?>y-^y+y2+#ᓽy>g6&,NCAB()*.IAC|2>|BC|2+1ABF,ᓽ2-^y+y?>28+4y+y?+—V<>/3&NCBA()*.3IAB12>1ACI2+IBCF,ᓽ1>—-+y2+28+4^y+y2993ᓽ:y2+gV^y+”y+56<089:;<#ᡠ>NACB9?@()*.AB#AABC()*C*D&#ECḄGᙶ᪗yḄJKMN:y<ᡈ'>¥,32.AB(UVḄᙊḄXY(TX|y+y+T[2=\ᙊ]§"ᑮUaLT*=TḄde(gᡠ>#>AB(UVḄᙊfUaLhᑗjEG-L-l.Ua/mḄCEfGnᔠ&#NACB(U*#CfGE9nᔠ#pA,B,CCE9ᐳa&#NACB(┦*#ᓽ4ABCsNACB9?@N)*.AB#⌕uAABC()*C*D#v?@NNCABᡈ/CBA()*.wEApfABᚖUḄUa(:y-y=#x-.|x=-1}y=~wEBpfABᚖUḄUa(Ty+=x-3,|x=-1}y=-ᵫ=/XT<}y=2জᡠ>#ECḄᙶ᪗(-1,2[&#A,B,CCEᐳa#9᪀ᡂC*D.AB#aABC()*C*D&#ECḄGᙶ᪗#ḄJKMNTy<^^ᡈy>^-y+2[.

408,0&#f(x)>l>0,x<0&#-x>0,f(-x)>0f(x)=——>0x=0&#f(0)=l>0f(-x):,xGR,f(x)>0(3)JX2>X],ᑣf(X2)>0#f(X|)>0,X2-X|>0•*-77^7=f(x)-f(-x)=f(x-Xj)>l212f(X|)...f(X2)>f(X|):.f(x)ᙠRmNᦪ(4)f(x)•f(2x-x2)=f[x+(2x-x2)]=f(-x2+3x)l=f(0),f(x)ᙠRm⌴ᵫf(3x-x2)>f(0)}Tx-x2>000g(—2)=l—5b<0jg(0)=-l-&<0gপ=/?+1>0I15(2)|u=/(x)0log஻ᙠ(0,+°°)Nᦪ1-c=2b>-8,ᦪf(x)=/+2/?x+cḄ(x=-b/(x)ᙠ¡¢(ߟl—c1—c)m(ᦪ#£F(x)=log,J(x)ᙠ(-1-c,l-c)m(ᦪ஺p/(¥)ᙠ¡¢(-1-cJ-c)mឤᨵ஻¨)>0,v◤/(—1c)20,pc=—2b—l(L—D2\xI/J--ArK1Xxi=—."n"l+H12

41ª”«)/(X.M)="4)==/(X.)+/(X.)=2/().l+x“l+x“x“.-.᝞±=2.-.{/(X,,)}N>-1(✌⚗#>2(¶·Ḅ·ᦪ¸(),ᦑ/Xx,,)=-2"T/(X")ফᵫ⚪»#ᨵ/(0)+/(0)=/(¼)=/(0),½(0)=01+0X-Xxe(-1,1),ᨵ/(X)+/(-%)=/(--)=/(0)=0,1-X}/(—X)=—/(X),ᦑ/'(X)ᙠ(—1,1)m(᜻ᦪ.ᵫ]11[=[=-+D-+2)=ªÄY+3%+]Æ+1)(Ç+2)-1_1(É+1X1+2)-Ê+1)(+2)1=஻ᓰ+"-Ì=஻ᓰ-"Ì}“k2+3k+\"II11jN=Í"ª=-fE-ᦑ1+/(1)+/((>•,+'(,]1)+/()=0.n~+3n+ln+2H.<1»Cx,y,•.•Ó+Ô=2Õ,ᵫজÖ=2Ḅ#.G(×ABCḄn]#GT#W............................................................2ᑖ33XᵫঝMNAABCḄ᜜]#.Mᙠxm஺ᵫঞM—#0
,3ᵫIÜI=IMAIᓄÞ᦮ᳮ}T—+/=1(xWO)....................(6ᑖ)3

42(2)F(ஹã#0)ា(S+/=1ḄåᯖE3»PQḄé᳛(k#0pkrí#ᑣUaPQḄXY(y=k(x-V2)y=k(x-6)n(3/+l)x2-6V^2x+68-3=0ᵫîX2+3/-3=02ஹï,66k26k-3,ðஹ»P(xi,yi)Q(x,y)ᑣnx1+x2=-~,x,-x=-r~-....(8ᑖ)2223k~+\3k+iᑣIPQI=Jl+%2.«|+஽)2—4s2T166k2«6/—32gE+1)V3k2+1-3k2+l-3V+1•••RN_LPQ,÷kᣚᡂù}IRNlJ-""ú)...................([0ᑖ)k3+k216(^2+1>=2----------\--------).,.S=-IPQI-IRN2(3/+i)(%2+3)3(/+±)+10,183(/+r)+10=-----k22-SIQ3Vfc2+—>2,-----216,.•.-WS<2,(k=±l&J).....(12ᑖ)k22-S2k9þᙠᡈk=0&S=233ÿ
WSW2,/.8^=2,S„=-..............................(14ᑖ)mi2212.(1)tan2a=•2tan:2(-D]a┦!1-tan-a1-(V2-1)2/.2a=—:.sin(2a+—)=1/(x)=x2+x441,?ফ%+]=஺+஺஻.=ὡ0஺2஻3,…஺஻1ᜧ3஺•*,an>°an+\>an111111ব__________________________•.___________________________«iᓽ(1+%)*l+«„l+4«„iH++

431+஺]1+஺21+%a\a2a2஺3anan+\ai஻஻+]%+1ii333Va=(-)2+2=4,"3=(])+^>10஻22a“+]ு=2஻“+]NcL-i>1,•'1<2--------<2,•*•1<---------1----------F•,•H----------<2«„i1+/1+&1+«„+13(>?⚪Aᑖ14ᑖ)(1)va=2a+1,a+1=2(%+1)......................2ᑖn+1nn+iᦑᦪᑡ6+1
E✌⚗2,HI2ḄKIᦪᑡ஺................3ᑖ.•.““+1=2",a=2"-1.............................................4ᑖn(2)4h,~'4b2~,4h,~,=(«„+1I)",.4(4+%+…+2஻)_2஻4..............5ᑖ2(L+%+…+2)-2஻=জ2(L+b2+…+2+ᓃP|)2(஻+1)=(஻+l)%ঝঝজS,ᵨ2=(஻+1U7-⊈,ᓽb“_2=(஻-1)a+1ঞ......................8ᑖ+-2=⊈+2টটঞ2nbe=h+⊈,ᓽ2bM-b.+bᔙi9ᑖliᡠ[ᦪᑡ\஻,]EK^ᦪᑡ,ஹ11111c(3)——V————.................................11ᑖa„2"+i-12n+l-22a,1-1`5=+,+…ᑣSv01z111ஹ111ஹ+—(—+—+•••+—)=—+—(S--------)a2஻3an+\a226?2aஹa“aஹ2"”+i..........13ᑖ21212r.......................14ᑖa23a3n+i14.>?⚪Aᑖ16ᑖ

44d1efQ=1h0gdXe=,g'dxe=_12+He............[ᑖdneᙠd1,1eᓫq⌴stᦪ0..udne20ᙠd1,1eឤᡂy.......2ᑖd?+x+c20ᙠdߟ1,1eឤᡂy................3ᑖf.c>2...........................................4ᑖ(2)`g'(x)=/(X),ᑣ..ஹ1,"~"0,OV11,ᓽ^€(0,11f”-h0L/gJaL/)=<•++ᐙᑖ**•“6[0,1]h/«i)Wc+I.f,/(-rXl(x6[0,l]).⌕ឋn60.1ஹh./dne41./6<0.J].Za•**/(J)d2etᦪ/d"eḄUᔣ..r•"2'JL•1L-1.1.flaKl.1஻U/Q)=0Ḅ£᪷a/ᙠ[௃0௃Jᑁߟ/প40.a0I/SEO./(-IXo421——!•1a**-lal&ln1«&௃Ḅᐕ⌕ᩩE-a.4415ஹজ஺1=1ঞa=—316ஹপᵫf(m-n)=[f(m)¯f(O)=f(OxO)=[f(O)]°tᦪf(x)ḄᙳᙠxḄ,0f(O)>O,0f(O)=l……3ᑖ,.■f(2)=f(lx2)=[f(l)]2=4,f(x)>0.-.f(l)=2,f(-l)=f(l)=2……3ᑖ

452kx+2ஹkx+2ீk'kx+2ஹ'µ+2|ஹফf>2«/,-----2>2o/4(±1)=/N஻l)2&+4)2&+4Jஹ0᮱+4,fxNOh0ᐸ¹tᦪ/'(x)>0ឤᡂy0.”=/(º)ᙠ»¼[O,+8)ᓫq⌴stᦪ...½+2[2]o,+2|2y/x2+40¾2—1)x~+4kx>0yjx2+4জfÀ=0h0xe{0}(4k4ÄAঝf1<᝕<0h,<0=---->c,ÌÔᎷ`஺Öc,3ᵫ36+JFுØ>Ù>0,ᡠ[f(x)/(x)E''Ê~!Ëtᦪ”.3ᑖ3Ú(x),3,3,5
ÜÝ~!ËḄ~ÐÑ0Þ32+32<5],ᡠ[Ìßᙠ~!Ë[32,32,52~ÐÑ,ᦑÄ(x)ÌE“Ê~!Ëtᦪ”.4ᑖ(II)`T>0g(x)ḄÝᕜâ0ᵫ3ᐸãä(0,+8),ᡠ[0ßᙠ஻>஻?>0,åg(஻?)=l0g(஻)=2.æç᦮ᦪ/1>\'0ᡈëAT+m,AT+m,஻ì~Ýᦪ
ÜÝ~!ËḄ~ÐÑ0Þg("+஻?)=1,g("+m)=l,g(஻)=2ÌíÜÍîÝ~!ËḄ~ÐÑ.ᦑg(x)ÌE“Ê~!Ët8ᑖ54(III)AḄᨬᜧã.9ᑖ6

46☢0òA>—,óôF(x)ÌE“Ê~!Ëtᦪ”.6—e(OM)0õᯠì~Ýᦪ
ÜÝ~!ËḄ~ÐÑ0Þ266''jrSjr11sin-=l,sin—=-,sin—=—ÌíÜÍîÝ~!ËḄ~ÐÑ0ᦑF(x)ÌE“Ê~!Ëtᦪ”.26262÷☢0[óôøA=ù-h0/(x)E“Ê~!Ëtᦪ”.654Íú~!ËḄ~Ða,Ac,òa,6,cw(0,—),ᑣᑖûüý᝞ó:6(1)a+0+c...2஻0ÿ;
஺2%b-c>242■=ᳮh,c>—,6633,ᦑsina,sin"sinee(—,1],sintz+sin/?>—+—=1...sinc.36222ᳮᐸ.sina,sin/?,sincḄ.(2)a+Z?+c<2%
!"᝞$%&'(22a+b—ᐔq-ᓝ,by-ca+bᐔ----W
ᵫ0஻+ᡠ40<<-----W—.22222TTC+hᵫsinxᙠ(0,8]:Ḅᓫ<ឋ"0&W1;222a+bn-ca+b71---->
0<cos—>cos——>0212...7c•a+ba-b_.ccsin஺+sin/?=2sin-----cos------>2sin—cos—=sinc.222257Tᳮᐸᡠ4§ᵫ஺,§ST§U஺SVḄ.ᦑ4=W
/(x)V“Y6Nᦪ5AZ:AḄᨬᜧ]3.618ஹ_((I)*.*S|=------(4—1),q஺1

47஻22
4ߟabca,2=4,ᓽ“eVfgᦪᑡ.,%="T=i;................4ᑖan-l2.(gn-1)n(H)ᵫ(I)kb„=—^------+]=("T)±2a,qr"efgᦪᑡ,anan(a-l)n,t-^.o.,-p-.,3a+2.3u~+2a+2ᑣᨵ82~=A4,uv=3,Z?=-------0-----------------,2aa_LL/3஻+2ஹ2.3Q~+2a+24}/n1r-ᦑ(-----)-=3---------E------,_"4=.......................7ᑖaa'3஺=J■ᐭ"2=3"ᡂ3ᡠ4•='...................................................8ᑖ3III(ᵫHkb=d"ᡠ4c“=ߟ^ߟ+—-1--=--3-"-1--3--31+ḇ1-Ji3”+13,,+1-1vl+3"+1-13,,+,-1+1,1,13”+13ᔣ13”+13ᔣ1c/11ஹ=2—(-------------(----)9ᑖ3"+13ᔣ1,11111111ᵫ----<—"3஻+]_3"௃_]<33"+13”ᡠ4%=2-4-2-4-.............................12ᑖu7E=q+c+---+c„>[2—(E-()]+[2_(*_*)]+…[2-(+-)]2W2஻)+("4)+…+(>)]cA1ஹC1=2n-(-----)>In——.33n+13ᓽ7E>2”-g......................................14ᑖ19ஹ_((I)6/)=2,஺2=2+஺஻3=2+3C,q,a,%ᡂfgᦪᑡ2ᡠ4(2+C)2=2(2+3C),_"C=0ᡈC=2.c=0
a=a=a,ᔠ⚪ᦑc=2..........4ᑖᦻ6ᑖ}23(II)஻22
ᵫ0஻]=ca-a=2c,32

48a-%=(n-l)c,ᡠ4q=[1+2++(஻-l)]c=ߟ—ߟnK4=2,c=2ᦑ஻஻=2+஻(/i-l)=-஻+2(஻=2,3,•).n=l
:Sᡂᡠ4fa=n2஻+2(஻=1,2᜛•)...8ᑖn(III)b=32n*2-3n-l+2,lim^-=9..........12ᑖn«->1»bnNP=2NQ,JAt20ஹ_((1)___¢=>QPNḄ£¤¥GQLPNGQPN=0nGQPNḄ£ᚖ§nlPGI=IGNI.••IGNI+IGMI=IMPI=6,ᦑG¤Ḅ¨©V4MஹNᯖ¤Ḅ«ᙊ,ᐸ®H=3,ᯖ¯c=J?,°®b=2,...¤GḄ¨©±²VW+³=1...........5ᑖ94(2)´='+5µᡠ4¶OASB·¸¶q¹ᙠ/º"I»1=1¼I,ᑣ¶OASB½E.OAOB=0x=2[x=2q/Ḅ¾᳛¹ᙠÀ§/Ḅ±²m2,ᵫ,ᡝ"2mF-=1V=±-----9----4-3.•.OA-O8=g>0,ÂOA-O8=0ÃÄᦑ/Ḅ¾᳛¹ᙠ......7ᑖÅ/Ḅ±²y=g0-2),4%|,)'|),B(x,y)22y-k{x-T)ᵫ//=(9/+4)/_36lx+36(T—1)=0I9436k236(/12-1)Æஹ/.X,+=—-------,x,x=--------------জ'29k2+4'229k2+4%A=Ç(—2)]È(b—2)]20k2=k2[xx—2(%|+x-y)+4]——ঝ9ᑖ]2ᯠ2+43ÊজஹঝᐭÍ1%2+)'1>2=0"ᦇ~~~

49¹ᙠÀ§/:3x-2y—6=0ᡈ3x+2y-6=0º"¶OASBḄÖ§×f.21ஹ_((1)4AB£¤ᙶ᪗Û¤ABᡠᙠÀ§x®Ü·☢Àᙶ᪗ÞᑣA(—3,0),8(3,0),C(5,26)ᑣ|AC|=’(5+3)2+(2¸y2419km=ᓽAஹCᦗä£Ḅ¯å(2)'f\PC\^\PB\,ᡠ4PᙠBC§çḄᚖÀ·ᑖ§:KIPAI=4,ᡠ4Pᙠ4AஹBᯖ¤Ḅêë§Ḅìí:¥|A8|=6...ê맱²î—1-=1(x<0)BCḄᚖÀ·ᑖ§Ḅ±²x+—7=0ὶ±²_"(x=-8.,.P(-8,5"),k=tanZPAB=-VIPA.-.ZPAB=120°ᡠ4P¤ᙠA¤Ḅᓅö÷30°ᜐব᝞úÅ|PQ|=஻|PB|=x,|PA|=yV\QB\-\QA\=ylx2+h2-y/y2+h2x+yK;_______^=<17x2+h2+77^+h2...|üᑬþ▬—◍ᶂᵨᓽAஹBᦈᑮḄ22ஹ(I)ᦪḄᨬ!"#$1,JF77,J*7,.................3ᑖᵫ/প=0,3C=_Q_/?_]f(x)=x3+ax2+bx+c=x3—+஺+1)—(X—1)[%~+(6f+1)X+(஻+/7+1)],ᦑDE+(q+l)x+(a+/,+1)=0ḄI᪷KJj=7,VF+7.

50ᦑy/\-t+Jl+1=-஺+1NOJl-1,Jl+1=a+b+1...........4ᑖSVi^7+VT+7N2=Sa+lN2,ᓽ2+2Sa+W+lN=3+lN2.0.a2=2b+3..........................5ᑖSIIজ"⚪[4xKDEf\x
=3x2+2ax+b=0Ḅ᪷,22ahᦑᨵx+x=---,xx=-,{2t2]^=S2஺2—126ு0,3஺<3.r-----^ߟ;——2y/a2-3b2^/^^bcᵫIX]-1={SX]+N-4e12=-------------=.....-...................7ᑖ2y/3-b22࠷g7------=—h3Ob=2,a=2/7+3=7.3---3ᵫSDj=-S஺+1N>0,ᦑ஺<1,ci=—ypl,c=-Sa+஺+1N=-3:./SxN=x3-S%2+21+o3...................9ᑖঝiw-Ni="aN-/Su2>=1Sஹ-£N+஻Sv4N+g/u2ு=1%1-xI-ISXj+X
2-XX+஺w+x2N+஺I22x22.3-y2612b2a=----------1------N——+a-----N+0133334-49—a2-zS3{2Sᡈz}N2N.................11ᑖᵫSDSa+iN2=SVT7+VTT7N2=2+2A/H0<4,~a<-'1,—2-3

5123.(⚪ᑖ12ᑖ)(I)ᵫO=4y3y=...yO=gx..../Ḅ᳛$.....1ᑖᦑ/ḄDE$y=x-1,••Aᙶ᪗$(1,0).............................2ᑖM(x,y)ᑣQ=(l,0),=(x—2,y),(x—l,y),ᵫ•+11=03(X-2)+0+J(x-1)2+/=0.᦮ᳮO3L+V=1.4ᑖ2'.♦•MḄC$¡$¢£Oᯖᙠx¦§O¨¦¨$2©Oª¦¨$Ḅ«ᙊ...............................................5ᑖ(II)᝞®Oᵫ⚪[j/Ḅ᳛¯ᙠ]°$±O/DE$y=k(x-2)(20)জ³জ´ᐭ]+>2=1,᦮ᳮO3(2k2+M—8g—+(86—2)=0,ᵫ^>()30<ᑖ<:u.E(X[,%),F(X2,y2)8k2ᑣ¸,+1ঝ...........................................7ᑖ8T—2xx.=——----.}122ᦇ2+1º»=¼½Oᑣ¾=¿1,ᵫÀÁ3BE=4IF,4ÂI,]஺S^OBFτBFI-4ᵫঝj(X]—2)+(x—2)—2A,--,22(%i—2),(%2—2)=%1%2—2(X]+x2)+4=2k2+11+1ᓽ“2=4"_j_10ᑖ(1+/1)28'(1+2)22..............4211■.•0

52(I)ᵫ⚪[g(x)=px-Ð-21nx,x~g(e)=pe---2,:.pe---2=qe---2,eee••(P—q)e+(p—q)——0,.,.(p—q)(e+—)=0,eec+Ñw0,p=q......................................................3ᑖ(II)ᵫ(I)jg(x)=px---2

53x,gr(x)=p+-^--—=———JXXXXº஻a)=pf—2x+p.⌕Óg(x)ᙠ(0,+8)$ᓫÕᦪOÖ◤h(x)ᙠ(0,+8)Øh(x)20ᡈh(x)W0ឤᡂÛ.........................4ᑖ2xজp=0,/i(x)=-2xO,/x>0,Ü.h(x)<0,/.g'(x)=——7<0,x"ga)ᙠ(o,+8)ᓫÕ⌴ÞO.p=o〉ᔠ⚪[...................5ᑖঝáp>0,/?(x)=px2—2r+p®â$ãäᔣ§æᱥOè¦$x=—£(0,+8).•.yপ_LÖ◤J_20,ᓽ/z(x)20,g'(x)20,PPPg(x)ᙠ(0,+8)ᓫÕ⌴éO,ê21〉ᔠ⚪[.....................7ᑖঞáp<0O஻(x)=p./2x+p®â$ãäᔣìḄæᱥOᐸîè¦$u=Oe(0,+BPÖ◤/?(0)<0,ᓽpWO஻(0)ï(0,+8)ឤᡂÛ./.gz(x)<0O,g(x)ᙠ(0,+8)ᓫÕ⌴ÞO.pvO〉ᔠ⚪[.ð§জঝঞÁ3Op2lᡈp<0.....................................................9ᑖ(III)ñòজᓽñInx—x+IWO(x>0),11—vó(x)=Inx-x+1,ᑣ(ô)=—1=------.XXá(0,1)O1(x)>0,•/(X)$ᓫÕ⌴éᦪháu£(1,°°)O᱄(x)vO,O᝕(x)$ᓫÕ⌴Þᦪhf.X=\$kCOḄ᩽ᜧ!Oka)Wk(D=O.ᓽInv—x+1^0,AInx^x_1..............................................11ᑖঝᵫজjInxWx—l,~x>0,Inxx-l,1/.-----<--------=1——xxx

54nGN*,n>2Oºx=/3Inn*23*5<1-—22nnInn1=1ஹIn2In3ln஻1=111i1ஹ--I—+..H-------><(1---1-+1----s+…+1.......-)22322222232«2=?@"1A@/+1+…+*ADEF@஻1A@111-----1---------F...H-------)12x33x4n(n+1)J”l.(3+G+...+L1)]22334nn+11=-[«—1—(-)]2:n+12"2-n-l4(஻+1)•ûüᡂÛ...........................................................14ᑖa—125.(I)S1=——(%1),Aa=0,xaá஻Ê2Oa=S-S“_[=~~~fan----nfla-\a-i2=Q,ᓽ6
KýËᦪᑡ.Aa=a-a"-x=anE......................4ᑖn%2------(ÿ-1)zo_IX“_,(H)ᵫ(I)b=—^---------+1J"4
ᦪᑡna'"(஻1)[2..h1o13Q+2,3ci2+2u4-2ᑣᨵbf=ph,஽=3,bஹ-----qঞ=----------,aaᦑ2=3.3a-+2"+2,&=_[,!஺=_1#ᐭ%=3"ᡂ'aa233ᡠ)a=L3N+11113஻3(III)*+,ᵫ(H)4=(£)"ᡠ)/=—1+——=J+5]+(,)"1-d53+13-13"+1-13n+1-l+l,114,21ஹ=------------------1-----------:----------=1-----------bld--------:=2—(------------:)3”+13,,+,-13”+13ᔣ-13“+13n+,-1,11111111ᵫ----<--,---,--->---Z7B-------------,---V--------,3"+13"3"+'-13';3”+13,,+|-13"3,,+|1311ᡠ)c“=2_f^~,)>2-(—-^7?)<7=q+c+-••+[2-(1-^-)]+[2-(^--^-)]+---[2-(^--^-)]2

55=2n-[(l-1)+…+(P—L)]=2n—(——L)c1+>2n——3஻3,,+,33,,+,3ᓽ7>2஻[...14ᑖ2V4+(126>,(I)Y-----=%=>(l-/?)x2+cx+a=0(&1)bx-cc2+0a-0l-bx2=><==a2x0=---2l-b-21ᵫ஻-2)=<—n-l0x<0ᡈx>2ᵫf'(x)<000x+1xxId--=,X>0,ᑣf>l,X-----xt—1g"A=fTTnfg'+t-=1--ᵫlw(l,+8)g'Q)ு0••w/w@l,+ooAygQAᓫj⌴lg@rA>@iA=oab/—l>hugIr4-1ᓽ>ln——,x>0জXX஻஺)=lnf—1+,=—3=*ᵫfe(l,+oo)஻'(f)>0

56...wf€(l,+oo)y/?ᓫj⌴l.•./?প>஻প=0abInf>1—X+11ᓽlnG>G,x>0ঝXx+1ᵫজஹঝs----ீ¡<,x>0..............10ᑖx+1XX11஻+11#ߟ11஻+11%ᡠ)----/(a)+l_l+f(a-x)_/'(x)~/,(a)_/*)_1_2f(x)__X/(-x)a~~l-f(a-x)~f(a)-f(x)+1-1+/(x)--2f(.x)~f(a)/(x)—1(x),¼a°±²ᑁḄÁÂxÃÄᡂ'A/(x)᜻gᦪ...............-..........................................(4ᑖ)(2)᧕*,f(x+4a)=f(x)>ᕜÉ4a.--------------------------(8ᑖ)ᐜ*+/(x)ᙠ?2a,3“DËᓫj⌴qÌÍ*+xG(2a,3a)yf(x)<0,Y2avxv3a,ᑣ00,"8<0-------------(10ᑖ)Y2a0,“5)T(X2)=/(x-x,)>0,/(X|)>f(%2)>2Af(x)ᙠ?2a,3஺DËᓫj⌴q------------------------(12ᑖ)f.f(x)ᙠ?2a,3aDËḄᨬᜧÃ/(2a=0,ᨬÃ=3஻)=-1

5728ஹ,(I)Y»M(x,y),ᵫ27+30=஺P(0,Q(1,0).ᵫ•Ø7=0,(3,-^)•(x,£)=0,ᓽy2=4xÙ»QᙠxÚḄÛÜÚËxு0ᦑ»MḄÝÞCḄàáby2=4x(x>0).……6ᑖ(II)â,ᵫ⚪äsNæᱥèC:y2=4xḄᯖ»êAஹBìᯖ»NḄíèæᱥèCḄzÂî»஺wíèABï᳛ñᙠyA(1,2),B(1,-2),|AB|=41,ᡠ)*=3,%=,,___3--.ᵫA8=XAN,2=Ë~~—=---=—..................13ᑖx-x,3—13Nâ¡,ᵫ⚪Yᩩú-4=4⚗(1)ᕒ=4X2(2),=ý(1)(3)%-Ì=-a(4)=þ+(%)2=y(5)x=x,+Z(1—x,)2ᵫবஹ(4))2=(1-ಘᨴᐭফ(l-2)2y=4x,+4AC1-X,)পᐭᓄ!U-1)%,=1(6)……9ᑖ(᪵(3)ஹ(4)ᐭম,ᔠ(1)ᓄ!./(1+X)2=y(7)……11ᑖ1\4[2=44ᵫ(6)ஹ(7)453ᡈ419>1,ᦑ2=—.13ᑁ=3r1=329ஹ4=(I)?@ᙊWḄDEFG+4=1,ᵫ⚪I/Ja2b2

58(II)4K1=LFMNODEFP=-Q=-3,ᡠSTMᙶ᪗F(-3,0).YZ/?[O/ḄDEFCy=&(x+3).y=Z(x+3),«Xl2y2(1+3/)P2+18M2%+27%2—6=0.I62ᵫ[O/a@ᙊWbYAஹ8cTd/J2e=(1f2)2_4(1+3/)(27/-6)>o,4A2<(.?TA,8Ḅᙶ᪗ᑖhF(i,),*2,%),k18l27k2-6d/°ஹn1/ᑣX|+,=]+36,o2=]+3/d%=p᳝+3),y=k(x+3).22LFr(—2,0),C(x„-y,),ᡠSt=(%+2,-FB=(x+2,y).229LF(u+2)Fk(i+2)(-f)=(v]+2)&(v2+3)+(x2+2)%(x1+3)=k[2xx+5(᳝+v2)+12]x2“54A2—12-90k2k[------5-+------+12]1+3{2l3k2+%(54%2-12-90M2+12+36%2)l+3k2ᡠSCF=/lᡠ.10ᑖ

5924K2=LFMNODEFx=—Q=—3,ᡠSTMᙶ᪗F(—3,0).cYZ/?[O/ḄDEFy=k(x+3),TA,8Ḅᙶ᪗ᑖhF(ᓰd,)d(/,~)dᑣTCḄᙶ᪗F(,kᨴ)d%=%(+3),>2=4(஽+3).ᵫ@ᙊḄt/IFBI_x+3_lyl22l”|k+3-TᡠS6,F,CTᐳOdᓽ=10ᑖ(III)ᵫ⚪IJS=^\MF\\y\+^\MF\\y\t2=^\MF\-\y+y\t2=1ᦇ(ᓰ+%2)+6kI31kl3/36------=----------«—~,l+3%2'Me62\k\l,=±1"="ᡂ,3ᡠSAM8C☢SḄᨬᜧFᙶ.30ஹ4=(I)¡r(1,-1)ᐭ¢ᱥOCḄDEy¤k1,¢ᱥOCḄDEFy=—x2,ᓽ¥2=k¥.ᯖTᙶ᪗Fr(0)——)..............................4ᑖ4(II)?[OSḄDEFy+l=K(x—l),ὶDE©,,ª«y/+4x—4—1=0,y=-x.ᑣ1•X]=-k-1,ᓽX]=—k-1.1{ᵫA=_{—ᓃ-1)=(ᓃ+2r®0,ᓃw—2.............7ᑖ(ᳮ[OPBḄDEFy+1=&(x-1),

60y+1=k,(x-l),,ὶDE=,2ª«y/+A,x-±k1=0,[y=r.²ij1,%2=—k]—1,ᓽx,=—k-,-1._ELA2w—2.t•:kஹ+k2=0,.*.k1w2...................9ᑖ••Y*—|—Y*?TMḄᙶ᪗F(x,y),ᵫ8M=M4,ᑣx=/J.kki-1-k2—1-2—(k]+{2)x=-------------=------------.22tk]+k=0,.*.x=¹1...............................11ᑖ2,_%+%___(ᡃ1__1)2-(-k?-I)?_-(k.[-I——ᓄ_])2,k-2--2-2k2-9ᓰ¼±2,y¼-5.ᡠ½MḄ¾¿DEF=¼k1”wk1y஺k5).ÁὃÃᫀ31.4=(I)f\x)=ax2+2hx+c,ᵫ⚪IÅÆᦪḄÈÉIrপ=஻+2஻+c=o,(1)=am24-2hm+c=-«,(2)...........2ᑖ9஺/4Q<஻+20+C<4C,ᓽ4஻<0<4c,ᦑ஺<0,c>0,3ᑖᵫ(1)xc=-a-2b,ᐭa0,(4)..............5ᑖaabᵫ(3),(4)0ீ±vl..............6ᑖ

61(II)ᵫff(x)=ax2+2bx+cḄᑨhᵫ4/k40>0,JDE/(X)=♦+2"+c=0(*)ᨵcÖ×ØÐ᪷d?Fud¼2d9ᵫ(প=a+2A+c=0Jd=1FDE(*)ḄkÖÐ᪷dᑣᨵ᪷aÙᦪḄᐵÙ2b2bÛÛXj+ᑍÝ=--?x=--------1<0<,.............................9ᑖa9-ax<%2ᡈx>d/(4)<0d¼2<¼<%d/'(X)>0dᦑÞᦪ/(X)Ḅ⌴àáâF[¼2,ã]dᵫ⚪?J[%d%]=[$d஻df\t1LåIs—Û=1%—æ1=2+dᵫ(I)JOW2<1Is—MḄçéF[2,4)…12ᑖaa(III)ᵫ/'(X)+Q<0,EPax2+2bx+a+c<0,BPax24-2bx-2b<0fLFa<0,ᑣ/+2.2¥—2-2>0,᦮ᳮ(2x—2)஺+->0,aaa?g(2)=(2x—2)%/,/SëìZᐵY2ḄkíÞᦪdaaabhᵫ⚪Ig(2)>0îYOW2<1ឤᡂdaaufg(k1)20dðñò2+2¼k220”ðóôᔆᦑöÛᓽöxW-u-1ᡈ÷6-1,g(0)>0,[x2>0,ᵫ⚪Id[k,4-00)C(-00,—>/3-1]U[5/3—1,4-00),ᦑ᝕2-1,᝕Ḅᨬ6-1.16ᑖ32.(øù⚪úᑖ12ᑖ)4(1)û⚪I,üýþÿḄ0,1,6,8.(2)332=0x0.1+-x0.9x1+-x0.9x6+-x0.9x8஺4.2.……12ᑖ88833.(⚪ᑖ14ᑖ)প\'2=a2-h2^/.c2=4m2.……2ᑖ:.=0PF.1PF,........3ᑖc2/.|Pf|2+|P/^|2=(2c)2=16m2.……5ᑖ

62ᵫᙊ!"#|%ᱏ|+|%ᕜ=2஻=2Am,Q%++[%-.2=16/772+8=24m2/…6ᑖ12஻?2=1/2=42=4,c=2.(-2,0)ஹF(2,0)...............7ᑖcm2(2)\'Fi(-2,0),F(2,0),2ᵫ5#6|07|=^\QF[=2\QMf,ᡠ9ᨵ6I஺ᵨ2=2(|QFJ-1),@P(x,y),}9ᑖᑣ(x+2)?+y2=2(x—2y+y2-l/…12ᑖᓽ(x—6))+y2=32(ᡈD2+/F12%+4=0)Q(x,y)GHᡠI/ᡠJKLMN6x-62+>2=32.…14ᑖ34.(⚪ᑖ14ᑖ)(1)ᵫcln+1an+6an-],an+i+2an3(an+2an-])(nO2)\'ai=5,a2=5.'.a2+2a]=15ᦑᦪᑡ{an+1+2an}915✌⚗/3TUḄVUᦪᑡ........5ᑖ(2)ᵫ(1)2%+]+2an=53nᵫWXᦪY"2(a/i-3/i)=-2(an—3)ᓽa-3n=2(-2)nnᦑan=3n+2(—2)nT=3n-(-2)n9ᑖ2(3)ᵫ3nbn=n(3n-an)=n[3n-3n+(—2)n]=n(—2)n,bn=n(F])n222?[Sn=lb]I+lbl+...+lbl=j+2(^)2+3(V+...+n(j)n2nᧇ=(#+2(]+...+(n—l)^+n_`.......Hᑖ2223nn,_111222n+2^2-W|sn=|+(|)+(|)+...+(1)-n(|)+'1?13,-322S=6[l-a3.n]-3na3.n+'<6n⌕c2Ib௃l+lb2l+…+lbnlீmfgnWN*ឤᡂj,lmm>6…cᑖX,+x_k2__k22᳝o2«-——-X|—x1——35.a⚪ᑖ14ᑖ.6a1—24,pqrp-2sVtᡂj/ᦑ"Ḅw2(0,—]x45ᑖ2YFayᦪY.2.1X6+zẓᧅ23j2X^2H---------6ᑖx{x2x,x2x}x2u

63k?r(\K-lᵞᵫ0<“42,tkNl,T—120,.♦./(")=஻FF1+2ᙠ(0,ஹ]Hyᦪ.......7ᑖ11,,,k2k2-1~k2c4,2|2ᡠ9(z-1--x\X----x2)ஹ=u---k-—---1+2~<-4-----k-2---2=--4--2+—k2=(,-k---2-X\X2U41ஹ/1ஹ/k2ஹ2zᓽp᝕21sV(FF)(FF)<(5—£)ᡂj.........9ᑖX]X,~KYaVḄUY.aF.aF.[=+—ᔁa_14+2_]_R__xx)_(τx2O)=k-஽_k-_(*-)xxk24xXjk2xx4xx}22}2}2&2m=(%-஽)2ᐭ2(%1—X))2(4—k?xஹx2—4ᦇ2)6ᑖxx2k4k2xx}2{2,©F஽.ªa4F᝕2«2—¬.<0(%|—o2)~2°/&21s4—k~X'X2—4k~=4(1—ᓃ)—k-xஹx?<0,4/r2XjX21ஹ/1k22ஹzᓽp®21sVa---᳝.a----x-fº»ឤᡂj/¼ᨵ0<%<1,2᳝1_i-2,----,----1FTு0/.•.yᦪ/a஻.="+-----+2ᙠa0,J13°µH⌴À/ᙠÁJTÃ,+8.H⌴/......12ᑖU“2k2k2i——-⌕cyᦪ/a".ᙠa0,LµHឤᨵ./¼ᨵJl—%2,ᓽ^+16/—16K0,44420<%2«4É—8..........14ᑖYaVḄUY.

6411஻2aX]—஽.~a4—4~᳝o.F4ᦇ“.ᵫ(2)"#(---ʵ)(----12)_(7_£)2=4k2ᑍµo2⌕Vឤᡂj/¼m4-ᦇ2᳝%-4TO0ឤᡂj,10ᑖᓽÍ/ீ*ឤᡂj/11ᑖk2k24-422ᵫ0ÏᓰD432oÏ^!~4^/ᓽ/+16%2—16W0,.......13ᑖ'244k120<ᦇ2<4É-8.1ஹ/1..k2ஹ2lzVaaFÓ.aÔF஽Õa5-7ឤᡂjḄḄx02=3Ûজ.....2ᑖ᧕#ÞᯖßFḄᙶ᪗ab,0.,â⚪»ᨵABᡠᙠḄåæMN6y^x-y[2bঝ,3ᑖᵫজ/ঝᨵ64è2—6éx+3/=0ঞ@4aë|,¼.,8aè2/./ìA8Ḅ«ß"஺஺,í஺./ᵫঞîïðᳮᨵ:ò=ᓨ,…Fôõy,i0ᡠK°N------,ᓽᡠJ஺15ᑖX஺3a2.ö04÷஺8"Ã☢ᔣúḄFûüý/ᵫÃ☢ᔣúüᳮ/fgþFÃ☢ᑁḄᔣOM,ᨵᨵᦪ4஻஻ᡂ஺Mx,y,ᵫ1ᔜ"Ḅᙶ᪗ᨵ:x,y='(/+஻%,,ᡠ.x-Ax+/ix,y=/+/xy஺,7ᑖt222"ᙠ4ᙊC7ᡠ.ᨵ8+/2y+3/+ᦑ22=3஺2᦮ᳮ,

65/I2(x/+3y@)+^/2(X2+3D2)+2M(□F2+3%,)=3b?஺ট2GHI3lb3b2ᵫঞᨵKX]+ᑍ2=--——,X]஽~-஺ᡠ.x,x+3ᨴD=X/2+3(x-42b)(x-V2&)=4XjX-3y/2b(x+x)+6b2V2122i2=3b2-9b2+6b2=02AஹBᙠ4ᙊ7ᦑᨵ(2+3ᨴ2)=362,[2+3,2)=3/ড]ঠড_ᐭটbKc+஻2=1஺.....11ᑖe4ᙊ7Ḅ[f"“hiᙠᦪ'='3+஻ᔊᡂ"+஻2=1ᙠmnᙶ᪗ox-o-yq"P(/l,஻).xtuvt,wx.yz0P,|xḄn,஺}ᯠ2=cos0,/a=sin஺஺Ke4ᙊC7"Mhiᙠn஺(6GR)KGM=cose6X+s஺ᡂ஺37ஹ(D:M(x,y),ᑣᵫ⚪IM/l=ly+2l-1,.......1ᑖᓽ7%2+(y-l)2=ly+2l-lyN—2,"l+S—l)?=y+1,ᓄ/=4y@........3ᑖy-2,-Jx2+(y-l)2=-y-3,.......4ᑖᓄ/=8)+8ஹ—3ᔠᦑ"MḄCḄ¡¢/=4y.......5ᑖ(1)¤:•.•"Mᑮ"/(1,0)Ḅ§¨©ªᑮmz/:y=-2Ḅ§¨«e1,.,."Mᙠmz/Ḅ7¡"MᑮF(1,0)Ḅ§¨ªᑮmz/':y=—1Ḅ§¨........3ᑖ.•."஻ḄC.F,ᯖ"/',¯zḄ°ᱥzᡠ.²zCḄ¡¢,/=4y.......5ᑖ(2)mzmḄ´᳛iᙠª²zCᨵf¶"ᔠ⚪mzmḄ¡¢,y-2=&(x—2),ᓽy=kx+(2-2k),_ᐭ/=4·/-4¸+8(4-1)=0(ਮ).......6ᑖ

66A=1612᝕+2>0¼eRឤᡂᡠ.mz¾²zCឤᨵ¿fÀḄ¶"¶"A,BḄᙶ᪗ᑖÁ,AX1,yJ,.஽,ᑣX]+%2=4%,/*2=8᝕—1.......7ᑖজᵫÄ=24=1"PÅA3Ḅ"X]+/=4,ᑣ4%=4,xk=1mz¾Ḅ¡¢x-y=0.......9ᑖঝFAB1=^(x-y+(y-y,)2=yj(\+k2)[(x+x)2-4xx]=4yj(\+k2)(k2-2k+2)2X22t2x-2k\"OᑮmzmḄ§¨d=,tTiTFS=gIA8Id=4Ik—1142—20+2=4j--l)4+(J)2.......10ᑖMB0vS=4V2,.-.4&-1)4+(1)2=4V2,MS0(k-1)4+(k-V)2-2=0,(k-1)2=1ᡈ(A—I)?=—2(ÏÐ).•M=0ᡈ᝕=2.......12ᑖA:=0¡¢(ਮ)Ḅ,±2ÒÓX[=2V2,%,=—2V2,ᑣÕ=——=3—2V2-2V2-1ÓX[=/—2A/^,ᑣ2=2=3+.......13ᑖ-2V2-2᝕=2¡¢(ਮ)Ḅ,4±2ÖÓX]=4+2^2,x-4—2V2,ᑣ'——-~=3+2-\/22-2-272+ÓX[=4—2A/^,X,=4+217^,ᑣ4=ߟ^^3.=3—2-\/2.......14ᑖ2+2V2ᡠ.2=3+2uᡈ4=3—2Ù38ஹK(1)♦.•"I(஻,S.)ÚᙠÛᦪ/(x)=/+2xḄÜÝ7S“=/J2+2஻(஻GN*),n22an=Sn—Sn-i.=2/?+1.nnn=l¼=5=3Þß7ᡠ.ᦪàU{%}Ḅä⚗æ,%=2஻+1....3ᑖ

67(2)ᵫ/(x)=l+2xçèb/'(x)=2x+2•.•é"Kzi,S“ḄᑗzḄ´᳛,I=2n+2.f.b=2%,=4-(2஻+1)-4".n,-.T=4x3x4'+4x5x42+4x7x43+---+4x2n+l)x4n@nᵫজë4,4T=4x3x4?+4x5x4'+4x7x44+…+4x2஻+l)x4ᔣঝnজ-ঝK-3T=4[3x4+2x(42+43+---+4n)-2n+l)x4n+,]n42(Vp=43x4+2x———-(2n+l)x4"+l1-4.=6஻+lì16T99(3)Q-{x^x=2n+2,nefN*},R={x\x-4n+2,nN*}QR=R.2eQcR,ᐸqQcRḄᨬ«ᦪ=6.{%}æï4Ḅðᦪjo=4m+6¾eN".110<4w+6<1152•.•UOS/L5L2(S“-S“T)-1na=2a஻-1(஻>2)-------2ᑖn+l2q=ö%=2Þß7¤஺ᓣ|=2஺“1(஻GN")=>%+|-1=2(஺஻1)(஻£N")ᦪᑡ{%-1}æ©,2,✌⚗,q-I=gḄ©ᦪᑡ-------4ᑖa,-\=-x2"-'=2'-2......6ᑖ2ঝS,,=[+Ḅ+…+%=(2-1+1)+(20+1)+(2'+1)+...+(2,-2+1)ঝS”=஺]+஺2+…+an

68=(2-'+1)+(2°+1)+(2'+1)+...+(2஽+1)(2-1+20+21+...2'-2)+”-2--"----1---\-n9ᑖ2elim——-=lim—ߟ=lim--=2----------12ᑖXT8U2"T+2XT8J22+F40ஹK(1)ýx=(Ḅ/(3)=Kýx=-W(-)+/(ÿ)==/(-)+/(nnn2nn(2)a,=/(0)+/(-)+-••+/(R+/(I)nn=/«)+/()+...+/(_L)+/(o),nn1n—l2a="(0)+/(l)]+[/(-)+/(——)]+…+"প+/(0)1nnn_஻+1%=\^(஻eN*)a„-a=-,ᦑᦪᑡ1%2345ᦪᑡ+in44বb.=4%—1nT=bE+bfH----=16(1H--H——H-------1——<16[1+++…+nBn-1))n12222஻23n1x22x3=1611+(1-=)+(-!)H---F(-^ߟ--—)]223n-

69=16(2--)n16Q=32----=SnnTn

70=2a+2஻2=2b(n22)........3ᑖnflᵫq=2஺+1K஺2=4஺L&=N+4=4஺+4,■:஺஺-1,L%L°L........4ᑖᓽ1S2TU2⚗W3X2YZ[Ḅ4[ᦪᑡ஺.......5ᑖ(4a+4)(2>"1)(2)S„=a+1=-3a-4+(2a+2)2".......8ᑖab2cL£=(2”2)2f3஻b=2+ߟ—S,-(2a+2)2"T—3a-4(0+1)2"-'-3a-4•.•15“234[ᦪᑡL-.f—01j2)3kᦪLS,i4/.3a+4=0,ᓽ஺=---o..........11ᑖ3(3)ᵫ(1)ma“22cL2=(4a+4)2"“=(Q+1)2",2(7+1(n=1)ᡠX13ᑖ(a+l)2n-n2(»>2)ᡠXᦪᑡ1%2Y2a+l,4a,8a-1,16a,32a+7,rᯠᨬu⚗3vw⚗xḄy⚗஺.......15ᑖaaeO,,cLᨬu⚗Y8a-l-4a•cLᨬu⚗Y4aᡈ8a-l-.....16ᑖ4agcLᨬu⚗Y4a-a஺=LcLᨬu⚗Y4aᡈ2a+l-.......17ᑖ2aaw~,+8cLᨬu⚗Y2a+l஺.......18ᑖ242.E(1)y2=4x........4ᑖ(2)(t>0),UM(,2f),F(l,0)o4YMஹFஹNᐳLᑣᨵ᪷=bL6ᑖ

71ᡠX=/-,EK”ᖾ,8ᑖ14ᡠX&==2,10ᑖ2-1LMNḄ3y=2(x—1)஺.......11ᑖ(3)“⌮ᔣ⚪”-জmᱥCy2=2஻x(p>0)Ḅᯖ¤YF,¥¤FḄ¦ᱥC§PஹQ¤L¤Pᐵ§xªḄ«¬¤YRLᑣRQ¥®¤A(—2,0)஺........13ᑖ2°±¥FḄYy=k(x—³L´µ,¶)LQ(x,y),ᑣ/?(·,—yj22>2=4x2ᵫLP)K/yy(042+4+1஺2%2=0,ᡠX᳝஽=L........14ᑖg-9kyy%“p15ᑖPx.+—X+1212k(xk(xx-஽»)2T23^QA--------fkKRA16ᑖX2X\X2+^X\X,4--12ᡠXRQ¥ᯖ¤A஺……•••17ᑖ½¾¿ᡂÁECᨬÂK6ᑖ஺Ãঝ¥¤A(_K0)Ḅ¦ᱥC§PஹQ¤LFPjᱥ¦§Æy¤R,ᑣRQᚖ§xª஺2L½¾¿ᡂÁECᨬÂK6ᑖ஺ÃঞmᱥCy2=2px(p>0),¥¤B(m,0)(m>0)Ḅ¦ᱥC§PஹQ¤L¤Pᐵ§xªḄ«¬¤YR,ᑣRQ¥®¤A(-m,0)»½¾¿ᡂÁECᨬÂK7ᑖLᐸx⚪3ᑖ஺Ä22“⌮ᔣ⚪”fmÌᙊCf+4=1Ḅᯖ¤YF(c,0),F(C,0),¥F2Ḅ¦ÌᙊC§PஹQ¤L2a2b22¤Pᐵ§XªḄ«¬¤YR,ᑣRQ¥®¤4Ï,0)஺½¾¿ᡂÁECᨬÂK9ᑖLᐸx⚪4ᑖ஺Ó⌮ᔣ⚪”wmÑÒCE_£=iḄᯖ¤YF(c,0),F(C,0),¥F2Ḅ¦ÑÒC§PஹQ2a2b2¤L¤Pᐵ§xªḄ«¬¤YR,ᑣRQ¥®¤A(2,0)஺

72½¾¿ᡂÁECᨬÂK9ᑖLᐸx⚪4ᑖ஺ÃᐸÔECA᯿Öᑖ஺43.(1)஺஻+Ã=5+2%,Y×=1,ᡠXØ=1,஺3=3•........................2ᑖ16—8஻“84(2)Y>0,^,>0,ᡠX16y8஻“>0,0<<2............................3ᑖ+155+22548஺-334y1Q஻+×=----------=----------=--------....................................55416-8%432(2—4)22-஺“Y2-a“>0,ᡠX×+1ja“ÙÚL.....................................6ᑖYq_*=_L<0Ltz--<0,«--<0,234444…La-1<0,HPa<1.......................................................8ᑖnn531531(3)a஻22cLb=--a„=-♦---(--a„,)=-•—--b„,n422-%422-„_,a31<----^ÜT=2஻IL......................................................1°ᑖ22--4ᡠXᵫ<2.b_,<22b„_<■■■<2"T=2"-3,...................................12ᑖn211(1\3-"2”)1ᡠXS“+b,+•••+஻,<-+-+-••+--------=-(2n-1).........14ᑖ"12"42প1-2444.(1)•.•aa=lc/(Þ=3--3,ß/(x)=0,Kx=0ᡈx=l..................2ᑖaxe(O,l)c½(x)<0,axe(-oo,0)U(l,+<»)c/'(x)>0.•./(à)ᙠ(0,1)ᓫã⌴å,ᙠ(-8,0)U½l,+oo)ᓫã⌴æL/(X)Ḅ᩽uèY/(1)=-2..................................................4ᑖ(2)V/f(x)=3x2-3a>-3a..................................................6ᑖ.•.⌕ëx+)L+L"=0«ìíḄ஻?eRîï3Òy=/(x)ḄᑗLañòa................................................................8ᑖ3বg(x)=|"x)|=,-3õᙠ½-1,1ÃYᏔ÷ᦪLᦑøùᙠ½0,1ÃᨬᜧèL.......9ᑖজa“40cLf\x)>0,/(x)ᙠ½0,1Ãᓫã⌴æñ"0)=0,'g(x)=|/(x)|=/(x),/.´(a)=/প=l-3a..................................Ã0ᑖঝa஻>0c/,(x)=3x2-3a-3^x+y/a^x-ya^i.aGzl,ᓽ.21cg(x)=|/(x)|=-஻x),-/(x)ᙠ½0,1Ãᓫã⌴æLÁcF(«)=-/(l)=3a-l......................................................12ᑖ

73ii.aᓽ0<஻<1cL=ᙠ½(),üÃᓫã⌴åLᙠ½61Ãᓫã⌴æ.1°a/প=1-3.40ᓽ9a<1cLg(x)=|/(x)|=-“X)ᙠ½0,Ãᓫã⌴æLᙠ½ý,1Ãᓫã⌴åLᦑF(a)=-/()=2a«............................14ᑖ2°a/(l)=l-3a>0ᓽ0/(l)=1-34ᓽ;2)஻+9(2)..•BQRᦪ/(x)=3x2—(a+9)x+6+2aTUVᔣWXY9Z=[Ḅ\ᱥ-61^9ᙠ_+a?`⚗bcdᨵ/⚗Tᦪᑡ{a"Ḅᨬ⚗WXYX=±qklᙠmU,"oᑁᓽUWr^<—24

742-3)-/4ᐭ+4/+3=0,᝕2_3H0A>0442>02k2-34A2+3x.-x=->-0-----212E—3t3........................................................5ᑖ(i)vMP-MQ=(Xj-m)(x-m)+yy2x2-(⚗/m)(x—m)+k2(X]—2)(x-2)22—(k~+1)%|^2—(2ᦇ'+/77)(X1+%2)+§1+4k~2+1)(4¨2+3)4k2(2k2+m)22=------©---------------©------+m+4kk2-3k2-33—(4ª+5«22r=-----)-------+m..................7ᑖH-3•fMP1MQ,f.MPMQ^0,ᦑ3(1—m2)+᝕2(ª2/4஻[-5)=0W®¯Ḅk2>3ឤᡂ,l-m2=0t§=-1.2_■m'-4m-5=0m=-1MPLMQ.;-IḄ᳛³ᙠᵫ/2,3),஺(2,-3)´஻(—1,0)yµ¶·ᡂ,஻=/1MPLMQ......................................8ᑖ(ii)•••4=1,஺=2,;-3=¸T-Ḅ¹-......................9ᑖ2ᵫ-º»)1=1v¼1,1gfi\=-\QF,I,e22,IPQ\Jl+12\x-x.\26,_/)A=------=----------------21ABi21y2fl+k~Ix—X|I+k~1rJ-221^-^)1-2\k\-2V+À'10ᑖ2•fk2>3,.,.<2<Á,12ᑖk2323

75¯ᑮ;-Ḅ᳛³ᙠIPQ1=1ABI,Ä/I=1,2€...........................................................................................14ᑖ6_B);-PQḄÅÆ9஺ᵫÉ;-PQ+-ᨵBÊz,f.-<6<—,ÇQÈQC_LPA,ᚖÌ9C,ᑣ33TT\PQ\\PQ\ZPQC21ABi2ICQIᵫÎீ஺<᝞ÑQ)...........1ᑖ(1))X1=-Lx2=2TRᦪÒ¥)Ḅ`᩽Õz1)=0,v(2)=0..........................................................................................2ᑖ3a-2b—a2=0,12a+4/>—o2=0,ta=6,b=—9...................................3ᑖ/(x)=6/-9/-36x....................................................................................4ᑖÖ2•.♦ᱏஹØTOxT`᩽Õz•••/'ÖÙ=/ÖÚ2Ù=0••.ᩎX2T63ax2+26%-஺2=0Ḅ`᪷.VA=4fe2+12a3,...Ý>0W/ᑗ஻>0,beRឤᡂ.,/a>0,x,-x<0.2•X|I+Iß21=1X|/321=_4(/à=+................6ᑖ

76ᵫlxj+lZ2l=2áâ+\a=2.♦.ᓃ2=3^2(6—஺)............7ᑖvh2>0,3a2(6-a)>0,00/.//(a)ᙠ(0,4)ᑁTçRᦪ©4<஻<6<0஻(஻)ᙠ(4,6)ᑁTèRᦪ.a=4஻(஻)ᨵ᩽ᜧÕ996,./(a)ᙠ(0,6ḄᨬᜧÕT96,ḄᨬᜧÕT4ê...................................................10ᑖ(3)ë_/)B"oஹqT6v(x)=0Ḅ`᪷f\x)=3a(x-x)(x-x),...........................................................................12ᑖ]2IX—Ú]I+IX-%2:.\g(x)\=3a\x-xI-Ix-x-l<3஺(-214ᑖ}22*/X)0,x-x<0,2}2•'-Ig(x)K2^-[(X-X)-(X-X--)]2=^-(x-x+—)2.122]a1•/x.•=——=a,x.=——.33dg(x)l

773a31a(3a+2)22<——++—a=---------—16ᑖ431248.14ᑖÙt)2,4ᵪÙ,ª2Ù,ª3Ù,……ᓻ/J2n+4Ḅòó9d,ᑣ2n+4=2+n+2—ld=>d=2,.....................................2ᑖÙf(a)=2+(n+1-1)J-2+nd-2n+2=>loga-2n+2ltana—a2"'2.................................(4ᑖ)n(2)•.b=a„P/(«„)=«2,+2-log„/"+2=(2஻+2)q2"+2,n,-.S+6a6+...+2n-a2"+(2n+2)a2,1+2na2s“=446+6/+…+(2஻/2)•/"+2n-a2n+2+(2஻+2)a2n+4(l-a2)S„=4a4+2[a6+...+a2,,+2]-(2n+2)a2,,+4,va1,2a4(1//)2a4-(2஺+2)x42a4l-a2"•••s.(1-a2)2+l-a2+l-(n+l)a2"],1-a2l-a2............................................................................(8ᑖ)•••——-2a4+a2-l=(2a2—1)(/+1)<0,\-aᔊᦑ2/_1<0,t,0/).2+ö(11ᑖ)[—஻2”<-5-^v+l-«2"....................(12ᑖ)1+Q<—^r+l...................(13ᑖ)<஽+1=3......................(14ᑖ)I--1-1249.t)পIPF,1=21PF1,1PF,I-IPF1=2a.-.IPF,1=4a,IPF1=2a222PF11PF(4a)2+(2a)2=(2c)2:.e=452-2(IDE:---■=1ùú-9y=±2xPû,2%j),P(x-2x),P(x,y)[222a4Q~—*,279*—*■*OP\♦OP?——3᳝Î2=——X1%2—~9,*"2Ppi+PP2—02x,+2(2Î]/%)ஹLH92c2/.x=---------,y=--------------üᐭýᓄÿḄ
2=~a~஺2

7828(III)ᎷᙠxᙠG«,0)ᱏ2A.(GM-AGN),/:x=ky+m,M(x,y),A^(x,y)ὶ$/%EḄ'()3344-8km%+,=7p—T(1)(422—I)y2+8h„)5+462_8=0ᦑ4:₹_8஺ஹ^^77ফGM-AGN=(x-t-Ax+At,y-Ay),F\F\=(2710,0)3434=/(%)Ḅᑗ_>=—18,lx=2n5y=/(x)Ḅᑗ_'(Fy=9:.y=9eqᑗ_5rᵫ/"(x)=12)6/+68+12=12,x=0ᡈx=l,lx=0ny=/(x)Ḅᑗ_Fy=12x—11,lx=lny=/(x)Ḅᑗ_Fy=12x—10,y=12x+9,teqᑗ_uᡠvk=0ny=9exy_Ḅqᑗ_(III).(1)-+9Mg(x))z<31+6x+3,lx=0,t|}ឤᡂ$5keR.l2Wx<0n5t|}F23(x+1)+6,X<3஺+!)+6=-3[(-+—!—]+6<—3-2+6=0520x(-%)lx>0n5t|}FA:W3(x+^)+6,v3(x+-)+6>12k

79(2)ᵫ/()ீ+9)+92-2x3+3x2+12x-l1onlx=0n592—11ឤᡂ$5keR,l—2Wx<0nᨵ<—2,+3X+12——xஹc5c203ஹ"210520(x)=-2x~+3x+12------=-2(x——)+-----------x48x3i()5onl—2Vx<0n—2(x—e)2+**Fᦪ5Fᦪh(x)>7/(-2)=848x⌕/(x)ீ+9ᙠ2Vx<0ឤᡂ$5ᑣkV8ᵫva(⌕ὃ⇋04᝕W8,ᑣlx>0n//(x)=-6x2+16x+12=-6(x+l)(x-2).•.ᙠxe(0,2n/(x)>0,ᙠ(2,+00)n//(x)<0/(x)ᙠx=2nᨵ᩽ᜧᓽ/(x)ᙠ(0,+oo)Ḅᨬᜧ5r/(2)=9,ᓽ/(x)W90«20n:+9>9,/(x)ீ+9ᡂ$uᡠv04%48.JὃLᫀ(51.V(1)ᵫᩩ¢£/(2)=4a+2b+cN2ឤᡂ$r•.•¤x=2n5/(2)=4a+2/?+c<-(2+2)2=2%ឤᡂ$8/(2)=2.............4ᑖ4஺+2h+c=21(2)54஺+c=28=1,/./?=—,c=l—4஺....2ᑖ4"2b+c=02r/(x)2xឤᡂ$5ᓽ4¦+s—l)x+cN0ឤᡂ$1,Aa>0,A=(--l)2-4a(l-4«)<0,.............2ᑖV§a=—,b=—,c=—822•,/ஹ=12112f(X)—XH---Xd---ᑖ822mI(3)ᵫᑖ᪆ᩩ¢£⍝5⌕/(x)ª«(ᙠy¬)®ᙠ^_)5=¯°+'ᓽ±5²e^_Ḅ24³᳛‘¶·^_%¸ᱥ_ºᑗnḄ³᳛»¼5·e:2

801y--x2+—x+—-822஻7=1+ᑭᵨºᑗnÀ=ÁÂ,V§4ᑖm12y=½x+—24乌分2111为12g--X+--ுÄᙠxw[0,+ooÂÆÇឤᡂ$8222ᓽY+4(1-6)x+2ு0ᙠxe[0,+8)ឤᡂ$&জÀ<(),BP[4(l-m)]2-8<0,V)1----0ᔆJ2ঝ4-2(1-஻z)W0V§m0V2®Ð5mG(—oo,lH—^ߟ)52.ÑÒ(1)Æ⌕ឋÔÕ%ÖF|×ᦪᑡ5✌⚗ᒹ5q×d1,n(n-1),n-\,zÝija--Bnb+-------J)=4+----dnDn22=4,.•.Õ%ÖFeq×F&Ḅ|×ᦪᑡ……4ᑖ22ᐙᑖឋÔÕ¶ÖF|×ᦪᑡ5✌⚗᜜5q×dÝãJä+%H---=n[a+(æl)d]=dn2+(%—d)nib+b-\----Kb“7=J(n-l)2+(q-d)(n-1)(n>2)x2b=2dn4-(%—2d)(n>2)nln=ln,b]=<2]〉ᔠVb-b=2d,,ÕஹÖeq×F2dḄ|×ᦪᑡ.......4ᑖn+In(2)ìíeÕ%ÖF|×ᦪᑡḄᐙ⌕ᩩ¢eÕîÖF|×ᦪᑡïᐸñò=஺஻஺஻+2(n=l,2,3…)........4ᑖ53(ó¶⚪õᑖ12ᑖ)VÁIÂS3=5,ᓽ÷3øᵬ2ú1û.1ᑖᵫü£ᵬýḄᭆ᳛FL,ûḄᭆ᳛FL,ÿḄᭆ᳛.....................2ᑖ263112---68......................5ᑖ

81(ID=7J=4,5,ᨬᵬ..............................6ᑖP(^=4)=C](V)2(l)=-t%................................8ᑖoZ2loP©=5)=C*(*)(*)34)+c%4)c%(%)(-4)=.+32.262362221612216JḄᑖ0ᑡ15119416216,10ᑖE^=4x—+5X-L=^-12ᑖ1621621654(78⚪:ᑖ12ᑖ);(I)ᵫ/=4y?y=,/.y'=^x..@A/ḄB᳛y[*=2=1ᦑ/ḄFGy=x—l,.•.IAḄᙶ᪗(1,0).MM(x,y),ᑣAB=(1,0),BM=(x-2,y),AM=(x-1,y),ᵫQ•R+ᑁ|Q|=O?(x—2)+y0+&-7^17^77=0.2x᦮ᳮ?.+)?=1.2-ZIMḄ[\C]^I_`ᯖIᙠxcdece2fgce2Ḅhᙊ.(H)᝞lᵫ⚪mn/'ḄB᳛pᙠqr,M/'FGy=Z(x—2)(᝕t0)জvজwᐭ]+>2=1,᦮ᳮ?(2/+1)/8T”+(8|-2)=0,ᵫA>0?0<%2<.2

828%2x.+x.-——%---2k2+1ME(XOM)ஹF(x,y),ᑣঝ228k2_2'22k2+1=◖ᑣ=ᔳS&OBF/I—>—,X-2ᵫ?BE=QBF,/1=0

83´a=hᙊFGµ+F=1.QM(2,1)ᙠhᙊ᜜.ᦑ¹º.ᑣᡠ¼hᙊFG—+^=1.189বᵫ⚪MnAB:y=—x+3.hᙊ¿2+2¿2/=஺y——X+3,_,_,,,?3/-12%+18-஺2=஺ᨵÁ=122-12(18-஺2)>஺x2+2y2-a2=0kᦑa>ᵫ(2)n6=-Â->]ᓽ2fl<2ᦑaḄ(⌲,2j5)U(2j5,2+20).Ia-2V2I[a—2\J20ᑣec2aḄ(276,472)U(4ᚗ,4+472).--L=4(neTV*)É+i%ᦪᑡËÌÍÎᦪᑡ✌⚗=1|Îd=4%aE•,=l+4(஻-1)an4/1-3*a>0na”=F(஻£N*)........(4ᑖ)7^3(2)ᵫ%=/IT=16஻2-8n-3V4n-3af?(4஻-3)&]=(4n+1)7%+(4n-3)(4஻+1)

84T1n+lT-^—=14n+1471-3=1\4-zi-l4஻3=(4஻-3)(ᓝ+Ô1)ÕÖ“ÌÍÎᦪᑡᑣ>-1=0*=ᖗÙ=1b=8஻-7neN*n1ব=—j=J4--3222J4--34஻-3+—4஻+1_d4n+174rl-32/•s=4+&+,•,+%>3(Vs-1)+(V9-nH---F(J4஻+1-J4--3)=—V4n+1-1neN*...............12ᑖ257ஹ;*(1)na-(n-l)a=a+2n,a-a=2(n>2)n+xnnn+xn.=2,%=4+2,a—a-2,ᡠ]Ë஻“ÌÍÎ%=2n2]2஻஻<23n(2)=--=----,T=14---1-H---1---r2n2஻2n-12222'i12n-1n-T„=-+—+•••+2“-iH-------22222"-T=2-(zz+2)—,T„=4-^^n2஻ஹ’2“n2஻T58ஹ;*ßIàMPG,yáᦪy=/ᐝàlãdḄämIåᙠáᦪy=gxlãdḄæçIP'f,y',,1x=x+—aᑣᵫèé|ê?ீ2ᑖ,1y=y.2a

85_,1X-x------awᐭáᦪy=/(x)=஺_?(,12+—=—)2-a............2ᑖ2a2af•áᦪy=g(x)Ḅ⊤îêg(x)=——)2—CL-------...............1ᑖ2a2a(IDáᦪg(x)Ḅæïc¿=ð0.aτᓛজ´0ீீᓽaðñáᦪg(x)ᙠòஹᔊ,2ôdõáᦪa2fMG=g@)=-C...........2ᑖঝ´V2<—<2ᓽ,----211//ᦈûdn,h(a)="-U----,-V஺W---.2a22ci—2,0

86(2):;ABi0OM_LAB1,:>CM,OC,VOC±AB,1☢ABCJL1☢AA|BB|'OC_L1☢AABB஺AOM>CMᙠ1☢AA,B|BḄ34VOM1AB,.AB|_LCM'NOMCB☢C—AB1-BḄ1☢ᙠRtZ\OCM&'OC=6'OM=—tanZOMC=——=22OMZOMC=cosC+sin2B☢C—AB,—BḄᜧK5arctan2.8ᑖ(3)OONJ_CM,M8|1_1☢00^,AAB]ION...ONJ_1☢AB,CoAONOᑮ1☢AB,CḄRSᙠᵨAOMC&,OC=8,஺M=UCM=J3+-=—2V42.ON=Q£=CMV155F:;BQBQVWXH,ᑣHBGḄ&ABC1ᑮ1☢ACBiḄV\஺-ABḄ&.Bᑮ1☢ABCḄRSOᑮ1☢ABCRSḄ2]Gᑮ1☢ABCRS5q'........12ᑖ60ஹa
b1cdeSCḄ&K,QR,DR.ᵫ⚪jk
PD"BCRPD’BC;2QR//BCHQP=~BC,f.QR"PDRQR=PD.f.PQHDR,-PQZ☢SCO,:.PQ"☢SCD.............b6ᑖcb2cmn
:;SP,•.•SP_LAO,☢ABCD,SP1ABCD.eo':'pqQHSP,f.QH1ABCD.r:ᵫsᚖ>uvk
ᓽ5ᡠxB☢Ḅyz.H117373{|/—SP=----a=——஺'ஹ2224ᙠMC4PBe=9O\PB=—a.BC=aPC=—a.22

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|5ᙶ᪗'|5x'PB5c''PS5zᙶ᪗,!jSb0,0,^-ac,8bc,Cbn஺,^^஺,0c,஺bc.22244☢P3CḄmᔣ5ᵫ=b0,0,¥஺c'3=bx,y,zc5☢QCḄnmᔣ'66—ay-^—az=On-PQ=0Qᵫ_____n«rn஻=(7'JJ,n)'nPC=஺v3n2-ax+—ay=03nn2717B☢Ḅ5஺arccos----........(12ᑖ)11¡ὃ£ᫀ
61.b¥K⚪¦ᑖ16ᑖcb1ca
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88p»“M+2<§〉ᔠᩩ¹জ2,9,81-S“=—஻2+9஻=—b஻—B-+»ᡠ|¼n=4ᡈ5¿'S.epᨬᜧÁ20,ᓽSW20,〉ᔠᩩ¹ঝÄ2'«S„ÆGW.....................................4ᑖb2ca
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89#<0'(b-%=k|O—%(kᡠQRSTUVW(Xᨵ“G4=“T—஺1([\ᯠ4—4>0,ᦑᦪᑡ4—4
ᦪᑡ.…4ᑖIIᵫI"(b-%=஽—qgyi,ᦑ"c-a“=3|-4.d(s“=4G41+2+eH—F--5+—T,ᡠQ1s“=4_qf+2+=—H-~p+—“'12222"~22"~'21'222232'"'2"ᡠQ;S“=⁐-i1++:+…+jGk,S,,=⁐Gil41G!Gm(…7ᑖ77[#஺>1'(lim—=0,ᦑlimS஻=4஽G4.8ᑖM#᝕>•••>஻,஻22'(b^b_+20,ᑣb„=,+l%-2=*τ+4-4"
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90Xh1(3)«¬
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22JM+82—64,>64.+y=ᡠ=64ᓽ=±8,I1mm=8!.ᦑτ#iḄ%&()K*.+8஺69ஹ./1ᵫ123P—ஹᔊ,1ᙠ6ᙊ821.ᨵ:+^=1জ-----------------------1ᑖ

96=+Mᙠy>8PஹBḄ?3----------------2ᑖ/.-V2+c=0,c=y/2.---------------------3ᑖ...ᵫ=2,(g>4ᑖ.জঝ.B஻=2/=_1DE..a2=4ᦑᡠF6ᙊCḄGH+ᓃ=1஺----------------6ᑖ422♦.•3K%,%ᐵNOPy=2xḄQR38&x2=-l,/U᳝224%_3xoW.BX5-------------------10ᑖ3),஺-4%5:.3%|=—5x.----------------------11ᑖ0X2V23P(x,y)ᙠ6ᙊC/y+-y=1±,/.-2

97JᡠF6ᙊ”GHU+)2=16ᑖ2(Hx,\=(z-z{|Uᑭ■•\2”U♦2U2NF—NP\\NF-NP\=NP]-NF=NP-1...2\FPE-PEḄᨬᜧ&ᓄFNPḄᨬᜧ&....................8ᑖ2P)6ᙊM8ḄU3(ᕴ)ᑣᨵ3-+y02=1ᓽXo?=2-2%2=N0,2,ᡠ\=Xo2+yo_22=_ߟ22+10..................10ᑖ\€a1,1],ᡠ᜜=1\%ᨬᜧ&9ᦑ\•oḄᨬᜧ&8....................12ᑖὃᫀ/71./(I)ᵫ12BOA-0B=(஻?,V3m)-(/!,-V3«)1ᑖ=—2mn=--T-2f,m-n=\........4ᑖ4(H)P3ᙶ᪗CGy)(x>0),ᵫo=+®B(x,y)=(m,6m)+(n,-6n),=(m+n,y/3(m-n))........5ᑖx=m+n>'■(f-°Em,n²Bx2-=,=ZK஻=18ᑖ34P3Ḅ³´GH——?=1(x>0)µ⊤·ᙶ᪗¸3?tᯖ3ᙠx>8º>»2,ᯖ¼4Ḅ½¾PX2-y=1Ḅ¿À........9ᑖ(n)OP/ḄGHx=ty+2,ᐸÂᐭCḄGHB3(0,+2-U/=3ᓽ(3z2-l)/+12ry+9=0

98᧕2(3--1)HO(ᔲᑣOP/ḄË᳛ÍεÏÐÑPÒ*ÓÔᔠ⚪×)=A=144r-36(3/-1)=36(r+1)>OM(X|,y)N(X2y2)ᑣ+>2=^^%/ÏCḄÙÚÛ3M,Nᙠy>Ḅ¿ÜÝ஽=(+2)®+2)=*>á+2tâ+%)+4t2~+2'.-P+43/2-13å-1_3r+4Q>3r-l/.3åU1<0,ᓽ00qᳮ²B0

9922.ý⚪þ⌕ὃ
ᦪஹḄ⌕ᑭᵨᦪḄᦪḄឋᨬ!⚪#$ᔠᳮḄ⌶(᪀⌼ᦪḄ+,..ᑖ14ᑖ.:1(1)/z(x)=x+—,gz(x)=a+l»....................................2ᑖxJ7(x)=yx2+alnx-(a+l)x,,:/(x),g(x)ᙠ34[12J567ᓫᦪ9:;Ḅᓫឋ<=2.-e-/Wg(x)=---------(a+l)NO,VxefU],/.(a+l)(a+x2)^0,..............4ᑖx4-1,a4-/ᡈ°>B](aw-1),D(-Y)=T,0ME•஺<-4ᡈ஺>B1.......................................6ᑖ(2),.W(x)=x+g-(a+l)=x2R(a±l)x+JGSJ)(xIg)=0=x=]ᡈ“%XXXDE--(a+l)x+a=OᨵMN᪷aஹBa0,ভᙠQ,e]ᓫ⌴d................12ᑖaf.t\a)>r(l)=0,f.t(a)eᙠQ,e]ᓫ⌴d.,.r(a)^f(e)=-e2-e--=e(--l)--

100RS/Z(x)>0,RS/r(x)<0,.•./(X)ᙠ(o,g)ᓫ⌴dᙠ1x15ᓫ⌴U■,g(a)=f^)=^a3-b.....................7ᑖ(2)R14/42,ᓽS_f(x)20,:./(x)ᙠ(0,1]ᓫ⌴d.g(a)=f(l)=4a12-5a+2-b,....................9ᑖ,34a--5a+2—Z?,(—Wa43).(HI)⌕ᦪ/(x)ᙠ(0,15ឤᨵ/(x)<0,/(x)ᙠ(0,15Ḅᨬᜧg(a)<0.eᓽW.1<஺=3Ḅᦪa,g(a)Ḅᨬᜧ⌕ᡈ0............11ᑖ(1)R1<஺<|Sg'(a)=ga2>o,~Sg(a)ᙠ(1,$5dᦪ92A7V777ᑣg(a)<25W0,.....জ............12ᑖ2712)22233(2)RSg'(a)=8஻-5ு0,~Sg(a)ᙠ-,35dᦪg(a)Ḅᨬᜧg(3)=23-b./.23-/?<0,6223......ঝ....................13ᑖᵫজஹঝᦪ஺Ḅ£¥b>23.....................14ᑖ22741(I)_ᙊCḄ71t+4=l(a>b>0),ᑣa?—©=1.……জ……1ᑖa2b2b2b2•••Rlᚖ¬xSA,BM®ᙶ᪗ᑖ±(1,B)(1,BB),aa—►—►h2h2h4h45OA-OB—(1,—)•(1,---)=1---ᑣ17IBᓽcJ=6/?4.........ঝ…3ᑖaacr6ᵫজঝ´µa,6/B/2_]=0..=]_ᡈ2=—2.(¶µ).?/?231a?r2R/=2•S2=-.}~ᙊ஺Ḅ7‘B+2=1.....................5ᑖa223

101·II¸_¹ᙠ.ᩩ»Ḅ¬¼/.পR¬¼/ᚖ¬xSᵫ·I¸Ḅ½¾,ᓾ=À=Áᯖ®/ᑮÄżḄÆÇ7d=Qc=Ê~S.c2211}~R¬¼/ᚖ¬XS.ᩩ».7ᑖ·2¸R¬¼/ᚖ¬xS_¬¼/ḄË᳛7Í,ᑣ¬¼/Ḅ7y=A·x-l¸.y=R(x-l),ᵫ^2x20(6%2+2)%2B12%2%+6k2-3=°[Ó+2ᔆ=16k26k2-3_M®Ḅᙶ᪗ᑖ±7·X1,%¸·Õ27¸ᑣ7+X2--——,x,x,=-------3᮱+126k2+2—Jl+t-|x|BX-,|—J(1+k-)[(X]+x,)-_4X]X2]·"ØÙÚÛB4·Ü¸Ý᳛Þ9ᑖD_A6Ḅß®7஻ᑣx“=ààᓛ=3—M23ã+1}~.ᩩ»Ḅ¬¼/¹ᙠ9¬¼/Ḅ7x-y-1=0ᡈx+y—l=0.……14ᑖ121751(I)V—=(-1)"-----,—+(-1)"=(-2)[——+(—l)"T],.........3ᑖ%%Tana,TD•.•,+(—1)=3,.,ᦪå1·B1¸"æ✌⚗73,ãé7—2Ḅéᦪᑡ.……5ᑖT

102_L+(_1)“=3(-2)"T,ᓽ%=(?6ᑖU5•N+1n(II)b=(3-2'i+=9L+6.2஻T+1.nS.=9=+6,+஻=30+62+஻-9....................9ᑖ(1I1)1"ë=”.10ᑖ3(-2)“TB(B1)"32"T+1111R”23S•ᑣ7E-------1----------H---------i--------HH------------:------3+13-2+13-22+13-2"-1+111111_11-jiU-Ci)"-2]_11l.L„.111_47484ri2I<—=^473-223-233-2"-1281-12862286848474vTj0S,X32_2()1(—,—)(1,+8)aaaa+0-0+f'M᩽ᜧ᩽/(x)3v/(--)>0,/(1)<0a.•./প=ᨬa+20□aa

103ae(O,ln3]X—277ஹ(1)a=2+/(%)=----Inxxlnx-x+2/2)=J_,2ᑖxln2xIn24/ফ=0ᡠ8ᑗ:;<y=—L(x-2)2ᑖIn2(2)1°@0<%<1+lnx<0,ᑣ^-->a>x-VxInxInx,..r-/ஹ2Vx-2-InxtFg(x)=xInxg(x)=------¬------2jxIF/I(X)=2J7—2—Inx,1(K=3-=L1<0NxXX@0/?(1)=0,.•*Q)=ᓧ>0,ᡠ8g(x)ᙠ(0,1)⌴g(x)l+lnx>0,ᑣߟ—ߟ>Vx<=>a

104x<=>a

105xᵫ1°V@x>l+/z'(x)ு0,/?(x)ᙠ(1,+8)⌴@x>l+,hM>A(l)=0,ggপ=1f.a<1E.........5ᑖᵫ1°^2°_`a=l1ᑖ=1=1ᡠ8e78ஹa`(I)b⚪dV`e:/fgᦪ/(x)=lnxᙠi(1,0)ᜐḄᑗ:ᦑᐸn᳛1:/Ḅ;<y=x-ly=x-l12/9/4pe:/qg(x)Ḅrstᑗᡠ8ᵫ<17=>—x+(m-l)x+—=09y=-x+mx+—2222_w=(஻?-1)2—9=0>m=2(/«=4{ᔠ⚪d}~)

106(II)p//(K=/(+1)-8(%)=111஺+1)—*+2(%>1),ᡠ8'()=—1=—x+1x+1@l0-@ு0+h\x)<0p/i(x)ᙠ(-1,0)ᓫ
⌴ᙠ(0,+8)ᓫ
⌴஺p@x=0+஻(x)_ᨬᜧ(0)=2ba(III)@0<<஺+1<——<0,ᵫ(II)V`@l2|I+i|,.....................1ᑖIAF1=JQ-4+=,-1)2+4=1X,+11,.................1ᑖᵫ41AMi=51AEI_4J1+42=5,3a_᝕=±..................2ᑖ4`Aiᑮ:d,e:/Ḅn¡a,ᵫ¢ᱥ:Ḅ¤¥VIAMl=d,................2ᑖ4.3=±=±±\AMI53k=tana—±—..................3ᑖ4(2)஺(%,y°)4I)B(x,y)22f=Ayᵫ_h2—4y+4k=0,.................1ᑖ[y=A(x+l)«HO✌ᐜᵫ¯,_1ீ᝕<1±᝕wO16-16/r2>0KQA==2F=µᳮ(Q8=x஺—X]yVo+M>o+%04-444ᵫ஺4J.Q8_----------------=1,...................2ᑖ2ᓽ:Jo+ᡭ(¹+º)+ºº=T6,

10724••%~+½½஺+20=0,..................2ᑖKA=(l)2-80>0,_¾±᝕wO,ᵫ1=x+l=y=4x,ÎÏ<—2,ᑣ7(%-1)2+/=X3=/=8஺+1),qÐ<2ÑÒᦑÄᙊÆPḄÓÔf8Fᯖi^=1:Ḅ¢ᱥ:ᐸ;<`'-4"...4ᑖ

108÷ὃùᫀ`81a`পᵫ⚪d᝞`a=l,b=0,f(x)-x2+lx............2'gᦪy=f(x)rüḄôdiQUy°)ᐵóþiḄÿ
P(x,y),ij/=—x,%=—y,...........................4ᑖ
Q(x(),Ḅ)-y^x2-2x,f.y=-x2+x,g(x)=-x2+2x......7'ফF(x)=—2+2x—4(x~+2x)=—++2(1—••F(x)ᙠ(-l|F(x)=—2(l+4)x+2(l-4)60ឤᡂ……9ᑖ

1091-X2ᓽ14==_"1ᙠ("#$ᡂ,......................10ᑖ1+x1+xᵫ/__1ᙠ(-1,1](
)*ᦪ...............12ᑖ-X=1./ᨬ120,.....................13ᑖᦑ440,ᡠ6Ḅ/289,(-oo0].........14,:;<ᙠ=>ᛞ*ᦪ.k.F'(x)=(-2-22)x+(2-22)ᙠ@AB(-2-22)+(2-22)>0;C/140(-2-22)(-1)+(2-22)>082(1)ᵫDE42—="2,%—஺2=-1IJ—2)=11ᑖ/.a-a=@-4)+5-1)x1=஻-32ᑖn+[n**•=஺]+(஻2—஺1)+(஺3~^1)-----(஺஻—=6+(—2)+(ߟ1)+0d------F(Z2—4)_[(-2)+(஻ߟ4)](஻-1)=/-7஻+186+4ᑖᵫDES"2=4,%-2=2.........5ᑖᡠTIUq=,.•e_2=V_2(£]=4x(3)..........6ᑖ••a=2+8x()7ᑖ(2)W/(%)=4—%=(r—gk+9)—2+8x(ஹ49஺rC^——8x_+7…8ᑖ4বᡠT-(24./Y)9*ᦪ஺.....10ᑖZ•.•/(4)=g,ᡠT-᝕N2./(Z)N,..........12ᑖZ•••/(1)=/(2)=/(3)=0,..........13ᑖᡠT`ᙠk,a஺.....14ᑖ83.b1⚪ὃefJᦪᑡh⚗jkn⚗lᐵnToᦪᑡjfpqrᔠḄᨵᐵu⚪஺;v<(1)wx<.a=S,—S,,T.............(1ᑖ)n2s7-5,1=/ஹম-S,T)(2S“-1)=2S<•••S,T-S.=2S,£T................(3ᑖ)"1

110-----—=2(«>2),5ᑖS,S,-ᦪᑡ-9T-1-=1
✌⚗T2
IJḄfJᦪᑡ஺6ᑖS,,S,(2)ᵫ(1)E-^ߟ=1+(/1—l)x2=2n—1,AS=——-——,n7ᑖSn272-12n+1V2n+1F(஻)J2஻+32n+2_4n2+8n+410ᑖJ(2”+l)(2஻+3)-V4zi2+8n+3.•./஻ᙠneN*(⌴⌕aឤᡂ◤V=^D=|V3,f.0=᝕0+2),x22ÌÍxC(Î-2)2+2/2᮱+124.cᵫ♦2,ᓽ¹—"2:0.—+y=1k[2.A-_Q.__(____1<()Jo᪷ÔᩩÊÕEÖk2;C0<1%1<”.5ᑖ24kW4Ø%,8Ù2%ᑣ᪷ÔÛÜÝᳮC2k22/+1

111ZᵫNA=3NB,CØ+2,%="Ö+2,%4k1+ᵪ
=ᓛ+2=AX2+2,2A2+1ÌÍᡭCâᓲ8µ¶<
=2ä=å2k2+1æ஺4=çèæ&,ᑣ“4==++2=1"ê=jA53AA/tᵫ³1<2<1,ᡠT஺'71<0..஺/19ì,í(Ḅ)*ᦪµ¶஺4஺/14஺ᓽî4஺/14,16/8/36.ï"ðñ;Cᩩ1*,¶஺“<¥.•.?T4.-----------&--3-2᝕2+1-532k2+15V21ôª«ABḄÆ᳛Ḅ/289M5௃7ᑖᡠTöᩩᑗ«ḄÆ᳛ᑖø
ù18ᑖ;v"í:ᑗ«PAḄ·¸9y—ú="ïû"üᓽy=—ý+þÿ.
x+2y=2,2yl2yl2ylᑗPAḄy=-3+-,ᳮᑗPBḄ=-+-.2ylᨴ2y2_2&'("V=.....-+—xo~,-2yly,)2ᨴ'⚗ᐜᵫீPḄᙶ᪗X஺,""#$%xx1X"-X2y஺,-=------'-.0+2=41+2□+2%+24ஹ/ᵫ=4.......0%2%'/=27'%"•3+2=.

1122.'ᨴ"=2.-;"11ᑖ"x-Xj_122
'ᨴ"2kAB
ᵫ1"A—4k\B——2<---«3^/2,%1=2OAB{NN—2,0",A-2x^2=>x=-l,OABḄ—x+2y0y=2,00
ᵫ1"A——1

113(2)Z^'\:Jg(x)=gx+¥=Inx=+᪷=¦=Inx-gx.ᡠi§ᦪmḄUVX©Yᦪ஺x"=lnx-gxḄV........6ᑖ"“X"=)-Lx2®“x"=0,o=2,RS¯x°2±%“&"³0;¯0³o³2±,“x"ு0.•.¯X=2±஺X"UᨬᜧV%S஺x"max=02"=1112-1.
¯X·▲¹º»0±%InX·▲¹º»-8,-‘X·▲¹º»0,2¾ᨵ0x"=lnx-gx·▲¹º»'8.JKᦪ°x"=Inx-gxḄVY'8,In2-1]ᓽ§ᦪmḄUVXY—8Àn2—1]...........9ᑖ"[^,]:gx"=gx+¦ᨵ§ᦪ᪷ÂûOgx"=x+஻?rÆy=kuᨵÉᐳ%RS¯Ogx"=gx+஻?rÆy=lrirÍᑗ±%mUᨬᜧV....6ᑖ"`O"%=gx+trÆy=lnxÍᑗ%ᑗTxo%y°".ᑣy=lnx1_15=Ò"%'=1,᪷wÍᑗᐵÑd=lnx°%=2,Ó=Ô2,¾f=ln2—Lx1x+t>0=~oᡠimḄᨬᜧVYIn2—1஺S᧕A¯஻zWin2—1±%Oy=gx+¥rÆy=hu-ÙᨵÉᐳ஺JK§ᦪmḄUVÚᔠY-8,In2-1]............9ᑖ"3"Ü_Ý᪵Ḅßᦪkàáᙠ஺............10ᑖ"â☢äᵨåæ^ᩭæè_Ꮇ`áᙠßᦪk,êᐵ»xḄ/x"=kgx"ᨵëìàÍÂḄ§ᦪ᪷ᵨxᑣln(X|+)+—=HnX\,জ/(X1)=kg(X1)2/10If(x,)=kg(x,),,3.2,,GIñ2/2,ln(x+-)+_=k

114x.ঝ22ஹ2x2᪷wᦪᦪNAóxX2ôYßᦪ஺32
ᵫ(1)A%¯x>0±%/(x)=/(x)=ln(3+-)+->0min

1153232/(%,)=In+-)+-J)=ln(x+-)4-->0.22Xj>02x2/ᵫk>0,g(x)=InXj>0,g(12)=Inx>0=>ᓛ>l,x>1.}223932In஺[+5)----ln(%2+Q)---------ᵫ»óHX,,ᡠiàö`1<÷>12xx-32ln(l+-----)+——2XX22323232ln(l+--)+—ln(l+--)Hln(l+-)+—$ᵯ&<------—1-=---------——->-------'——-()(*)*+,஺1n%2i(iA.)2_lnX|lnxn++22XX22./01ᩩ3Ḅᦪk45ᙠ................(14ᑖ)86ஹ(I);<=/?@Ax=h+4,Gᐭy2=2pxJy2—2kpy—8P=0;M(NO),஺஺2>2)ᑣᨵR+>2=2ᑗ,RT=8஻VW•W=0,ᦑ0=Y2+RT=(a+4)Ḅ2+4)-8p=k2yly2+4%(%+T)+16-8஺ᓽ0=—8[2P+8%2஻+16—8஻xp=2,ᯖ]/(1,0).(II);R(x,y),ᵫV+V=VJ(/—1,%)+(4—1,T)=஺-14)ᡠ_2+Z=x+Ly+y=y]2

116Vya=4xb4=4/YJycுiAf=cᨴ+hfcOAf=4ci/fFRḄl]ᙶ᪗Aocp,f222qr஺s2tᑭᵨkpQ=ᓃ᝞ᨵy=ᓃ21=ߟ?—yx,-xx+1[22᦮ᳮJ2=4x-28.yqᓛ=஽tRḄᙶ᪗Ac7,0f,
01V=4X—28.ᡠ_y2=4X—28ᓽA]RḄ?@.87ஹ᪆aপᵫ⚪Ya—c=&-1=®,¯xaSb=c=lᙊḄ?@A£i+d=i2-c2fᵫc1fJ/c1,0f,ᡠ_0ீm41.Ꮇ;5ᙠ01⚪Ḅ<=/,;/Ḅ?@A2y=k(x-l)GᐭL+y2=],J(2/+1)/-4%+2k2-2=0f2;4(᪍ᨴ),8(iA)%+”⁠5="জ.'22*2+1'22k2+12k~+1——►4k2-2k...CA+CB=(Xj-¥yi)+(x-m,y)=ᓝ12¦2k?+J22•(§+ᙠ)_L¨VABḄ?ᔣᔣªA(IQ,21I;----2m+—¬—xk=0=(\-2m)k2=m.q04<t,®=±—-—ᓽ5ᙠ(᪵Ḅ<=/;2k--121+12\\-2mq$4o41tᦇ45ᙠᓽ45ᙠ(᪵Ḅ<=/2V22v88ஹa(1)´⚪;ᙊ?@A=+J=l(a>8>0),ᑣᐸ¹ᯖ]ᙶ᪗Aa2b2F(c,Q),c--Ja2—b2,........1ᑖᵫIP6I=2,JJ(c-ম+(0_ᔊ=2,ᓽ(c—0y+2=4,Jc=2j^஺........3ᑖ22ஹஹஹxyi:b=2,f.஺2=஺2+%2=]2,ᓽᙊ?@A+½=1஺……4ᑖ124

117c2fᵫIAM1=1ANI]Aᙠ=ÂMNḄᚖ<Äᑖ=y=kx-2ᵫy2ÅÆyJf+3cÈ2y=121124ᓽc1+31fx2-12᝖=0c*f........6ᑖᵫAl0,J?@c*fḄA=c-124f2=1441>0,ᓽ?@c*fᨵÊË4ÌÍḄÎᦪ᪷஺.......7ᑖ;஻c/RfஹNX,y
,=ÂVNḄl]Mc%,Ðf2212kx.+x,6kᑣX,+X=-----rX=———-=-----121+342°o21+3k276/—2(1+3/)-26k-2y0=3)-2,ᓽbc)9ᑖl+3k2\+3k21+3/'1+3*2×-2_22(1+3Ø)•••[T0,.•.<=AMḄÕ᳛Aᓃ10ᑖ6k6k1+31ᵫAPJ_MN,JR2-2(l+3[)*¨=-T,11ᑖ6k2+2+642=6,Jak=±jᓽtana=±...12ᑖ33Û,¬ÜᐔT5ᐔ0<<%ᦑa,ᡈa——661Tf.5ᙠ<=/01⚪ᐸÞÕß஺=$ᡈ£=à13ᑖ6689ஹ:cIfᨵâ+i—S”᧕J(II)ᵫå+1+æ=4%+2Jç+]-(2%+2)=-(a*-2è)-"=(-1)*31-2)ᵫ=2ᡠ_a*=2n90>acIfᵫéJq=஺1,஺2=4,%=2஺஺ë+஺3=2஻2,

118...ca—1+2஻=8,ᓽ஻=3.2ᑖf..q—2,Øìcl—a2q=2.ᵫ-=í+.î"J....................c4ᑖf24+ïð11x2=25502ᓽ/+&-2550=0.Jk=50ᡈ®=—51ñÆf.a=3,k=50...................................6ᑖfIIᵫS஻=òJS=4-—ߟx2=w2+/1...................................8ᑖf2S:.b=—=n+1..................................9ᑖfnn•
óÍìᦪᑡ.ᑣ4+4+4]+..+"஻_]=3+1+7+1+H+1+.+4H—1+14+4¥f஻Û2by+bj+4[+..+=2/i-+2஻...........................12ᑖ
õὃ÷ᫀa91.c1ùa=b=lúJ/1=02ᑖof=Üû2ü+"c2f••0Y5ᑖ2/c2-"=/c212~=2-"c2ýf+2~/c2"2"/c2-"=2"-"c2b"f-2T.

119ù2=2"/(2-"),.."“=12Tᦪᑡd=-]b=2f\|Ḅᦪᑡ12ᑖx14ᑖ92.1ᐙᑖឋ:஺2+=0.-.a=b=O/(x)=x|MḄxeRᨵ/(x)+/(x)=஺.♦•/X!᜻#ᦪ$ᦑᐙᑖឋᡂ'.⌕ឋ஻x!᜻#ᦪᑣḄxeRᨵ/x+fx=0ឤᡂ',ᓽ-x—a+b+x|x-tz|+-0/x=0,0b=01/x=a,0a=0஺tz2+b2=0(2)ᵫ8V23-3VO,4x=O5஻67ᦪ83ឤᡂ'4OVxWl5/(x)voឤᡂ'$ᓽx+2Vx2ឤᡂ'xxb/g(1)=X+—ᙠOVxWl:ᓫ<⌴>,஺>gmax(x)=g(l)=l+஺10ᑖX/Bx)=x-$,ᑣC(x)ᙠ(0,0:ᓫ<⌴D$EF+8)ᓫ<⌴>1°4஺V-15BJ)=42ᙠOVxWl:ᓫ<⌴DXf.aa2x2+(a-3)x-3a>0,,•.(-3)(ᐔ+஺)>0P£R,2ឤᡂ',S83<0ឤᡂ'$T.x+a<0xsl,2ឤᡂ'$a<-x,X-XG-2,-1a<-2.(2)ᵫ/=(஻-3)2—4(஻23஺)U00-1<«<3,8VW஺=஻$ᑣ(ᔆា!Z[\᪷$ᵫ^_`ᳮ0জp+q+r=3,q=t'a2-3a,

120:.@p2+q2+r2=a2+(q+r)2-2p=n2+(3-tz)2-2a2^3a)=9ঞc/+q3+/=/+g3+/)=/+(஻+஻)[/-qr+/]=3஺de+27.Wg(a)=3cf-9/+27,gh0g(a)=9a2-18Q=9Q(஻-2)4aw[2,3]5,g(a)>O,g(a)⌴>;4ae[0,2]5,g(a)vO,g(a)⌴D;4aw[-1,0]5,g(a)>0,g(a)⌴>,..gভᙠ:Ḅᨬop!min{g(-l),g(2)}=min{15,15)=151131(3)H(a)=-[g(a)-2]7=——(3/-9/),᝞r஺e(0,1),sijH'(a)=3“-P/=3a(l--a)>06622H(a)ᙠ(0,1)!⌴>#ᦪ$H(a)e=(0,l),v«„=H(a„)=-1(3a„3-9a„2)+1ae(0,l)=>a£(0,l)n3=>஻“e(0,l)=>---}213iS-4=5஺஻'+5஺/-a=~2a,J2)(஻஻.1)<0,/.a0,b>0).a~b~21------2ᵫzCḄ}~E:$ᯖc=l2T£__£=iᡠ}~EḄZ[!:FT(2)VA1(-c,0),B(0,c),ᵫOH=(3+2)0:H(0,2a2+h2=c2জ2W}~EḄZ[!0ߟT=1(஺>0Cு0),,23c2ca-b-P=1ঝAa~4b-জxᐭঝ$ᓄ᦮ᳮ03d+6a2b2/=o,1.(2_6(2—3=0aa0(d)2=3+26.a

121Se2=0=1+(=4+2&~=$4+26=+1,ᓽ}~EḄcᐵḄᦪ஺(3)ᎷW¡ᙠ7ᦪ¢£4=¤஺ឤᡂ'$A(—c,o),c(¦$m)ᨵ=c23czc(X-2)&aᵯcFᙠ}~E:$ᦑᨵ$4/4822(1+2)2(1+2)C242-293cU24a21+¤24b21+¬3c2T2,2—4ᵫঞ0e2—=4===^~b2b-3ঠxᐭট0"_2?_(2-4),—ᐲ=1,ᓄ᦮ᳮ0—/le?+=2%+1e4(1+2)24(1+A)2ᓽ¤=R■$ᑭᵨ(2)o⚪Ḅ»¼0¤=½¾=1±À$1+G—►—►ᦑ¡ᙠ7ᦪ1I=—$£A/=4R?ឤᡂ'.95.1/'Ä=஺$+2᱐+gᵫ⚪ÇhᦪḄ¤ÈÉ0/প=Q+20+C=0জfË=am2+2bm+c=-a@Sa<஺01bᵫজ0c='—ci—2bÎÏᐭ஺0,0(×+2(—)20,0W-2,ᡈ20টaaaaᵫঞஹট0o/

1224XீX2$ᡈX>X|5$r(x)<0,4ᑍ20ᦑ#ᦪf(X)Ḅ⌴>èé![X2$X1],ᵫ⚪Ww[X2$Xj]=[s,t],ïðIs-t1=1x,-x1=2+2$ᵫ(1)w042<10Is-tIḄ6pò!ফ4)2aa(3)ᵫ/(x)+<0,B|J6fx2+2bx+a+c0,᦮ᳮ0(2x-2).2+->0xaaW8(2)=(2.2):+ùÍúûᐵü2ḄË#ᦪ$ᵫ⚪$aaa8(2)>0ü042<1ឤᡂ'ᦑ▢)2°ᓽÿ2+2*-220__26_[aaU(0)>0[x2>0ᵫ⚪,+oo)=(-O0-V3-1)36-1,+8)ᦑ%26-1,!Ḅᨬ$%&6-196.(1)V/(-l)=0,f,b=a+l,ᵫ/(x)20ឤᡂ+,-A=/-4a=(a+l)2-4a=(a-l)240,,,,f(x+l)2(x>0)f.a=l,12/(x)=x2+2x+l,;.5(6)=7—(x+l)~(x<0)(2)ᵫ(1),/(x)=x?+2x+1,-.g(x)=/(x)-==x?+(2-Z)x+1,2-k2-kᵫg(x)ᙠ[-2,2]ABᓫDEᦪ,-------4G2ᡈ------->2,IJ4G2ᡈ426.22বL/(x)BᏔEᦪ.••/(-x)=/(x)24>o,;./(x)ᙠ[஺,+00)&PEᦪQRS(x),Tx>0BVGx<0,S(GX)=-/(-x)=-/(X)=Tx<0XGx>0,Y(ߟx)=/(—x)=/(x)=—S(x),.•.F(x)B᜻Eᦪ]S(x)Bᙠ[0,+8)A&PEᦪ,Tmn<0,m^nabপT᪷ு0,஻<0Xᵫ%>G஻>0,/(஻?)ு/(G஻)=-F(")AF(ni)+F(n)>0.()Th<0,஻ு0Xᵫ஻ுGi>0,4(஻)>j(Gi)=GS(i),AF{ni)+F(ri)>0.kAl,F(m)+F(n)>0.97ஹn-(1)oPqᙶ᪗&(x,y),ᑣ—^,ᓄwI(x+3)?+y2=8,ᡠyz{CḄ}~&(x+3)2+y28L

1232z{CBy-3,0&ᙊ2ஹᔊ&Ḅᙊz{C'BG&2ஹᔊḄᙊq-3,0ᐵR{y=xḄQqḄᙶ᪗&0,-3,ᡠyz{C'Ḅ}~&x?+y+32=8,d_I0-(-3)+m-31_ImIᙊḄᙊ0,-3ᑮ{y=x+m-3Ḅd&'7i2+(-i)2V2’S.ABO=-xdxlABI=-XJX2A/8-J2ABU22/.=1,ᡈ“G7,ᡠym=±V2,ᡈh=±Ji4஺2298.(1)n-o=2a-722+3஻lᓄ&%+]+2(n+I)2++1)=2(4+An2+2),nBPa=2a+An2+-22)n-2-......................(2ᑖ)IJ+in2=-1.ᦑ«஻-2=3nI\......................(4ᑖ)஺¡ெ4=1f•%+]=GAiஹ+31lᓄ&—(/+1)2+(“+1)=2(஻“—*+஻).....(5ᑖ)¤஺]-12+1¥0......................................................(6ᑖ)ᦑ¦ᙠ2=-1,஻=1§Iᦪᑡ",+©2+ᑠ«B¬ᦪᑡ..........(7ᑖ)ফ¯°-ᵫপIa,-n2+n=(a-l2+l)-2n-1a^2"-'+n2-n,rln(8ᑖ)a+n-2n~'஻2n14422________________________(9ᑖ)n24n24n2-12n-l2஻+l222222•n>2X,i+"A<311ᑖ32஻+l36n±¯S஻>(஻22).(n+1)(2஻+1)6n12454T஻=2XS"=1bi+2b->=1H—=G,2—>—44(஻+1)(2஻+1)375~545ᦑ஻=2X³¬´ᡂ+.....................................12ᑖT“23Xᵫµ=>—1———LIn஻(஻+1)nn4-1s“=b\+b+b+---+b„>(1G;)+(gG;)+(L—-)+”,+(-G23-1=---,]ᵫ2஻+1>6I1>---,n+1n+\2n+1s”>Gு------------------14ᑖ"n+1(«+1)(2H+1)99ஹn-I¹⚪J=9q+10=100

124ᦑ»=10qT"22Xa=9S„+10n+l4=9S“T+10জ-ঝI-=10ᦑ¾%«&¬ᦪᑡ]%=1¿1=10"(஻eN*),lg4“=஻\ga-\ga=(«+l)-n=la+inᓽlga஻«B¬Áᦪᑡ(II)ᵫ(I),T=3(—+—+A+"1-22-311111ஹc3=3(1-----1--------FAH-----------)=3-------223n"+1஻+13(III)vl=3-------"஻+13..T஻=1X7LÂᨬ$%¹⚪ᨵÄுÅ(i2—5i)nIG1

125,31/%3%1ஹ3c%=q+n-l--x-----j-=-+(«-1)--(1-^-)=—+H-2.1--(III)[\R(]ᙠ4=2,_ᦪᑡᓲ+“bcdᦪᑡ.nS“=q+4+…+a“=3(!+?+…+?)+(1+2+…+")R2"=3X^^+^2—2஻=3(1/)+Z—+Z+3..122"22"21-----23133T=4+4+…+/=-----i-=--(1-T7)=--+T^r-n]A~~~~2ᦪᑡ¾5L±&bcdᦪᑡḄᐙ⌕ᩩkbh=A஻+B,(Aஹ8blᦪ)nnᓽS஻+J7L=A/+ᚍ,—CCT3n2-3no-33ஹn2—3n2ஹ%1.ps.+27L=—ᱛ+^-+3+஻—+r)=^+3(1—5)(1Rs)2ciIT.•.tuvt1RSS0,ᓽ/1=2wᦪᑡ¾3——4xcdᦪyIJ.2n[\S(]ᙠ4=2,_ᦪᑡzS"+/1bcdᦪᑡ.nᵫ(I)ஹ(II)|a+2b^n-2.S„+2T-+V)--Inn“஻஻2n(n+i)__2n2TATS.+³=2""=+Tnn2nnR!(1R<3133p7L=4+4+…+/=-----(—=_5(1_~)=_5+]~~~~R2£^«-3^-2(-3+=+n2n22ᔣ.•.tuvt/I=2wᦪᑡz૙bcdᦪᑡ.n

126