高考压轴题全析全解

高考压轴题全析全解

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时间:2023-07-17

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1468ஹBCᙊG\0+ᓩ=1(஺>8>°)Ḅ᳛Ty-hy-x+2TᙊஹᙊC,ḄT¡ḄᙊO£ᑗ஺(1)!ᙊC,Ḅvw0(2)3ᙊC1Ḅ¤ᯖTF”¨ᯖTF2,©ªFi¬ᚖuᙊḄ®/2ᚖuhGᚖVTP°PFḄᚖ±ᑖ³4uM,!MḄµ2¶CḄvw02(3)3C2x³uQ,*¸Ḅ4RஹSᙠC2z¬UVº•¼=0,!10MlḄ>@஺69ஹBCFi,¾ᙊC:(a>b>0)Ḅ¤ஹ¨ᯖP(-0,1)ᙠᙊz,°PRyḄ³MUVÁ+Á=0஺(1)!ᙊCḄvw஺(2)ᙊCzÂîᐵuy=2xḄÄÅT■(xi,yj!3xÈ4yiḄ>@஺70ஹBCᙳᙠᙊ஻\+/=1(஺>1)z/8ஹNCᑖʪᙊḄ¤¨ᯖËஹF,k•Á=0ᨵ9¼•¼=¼12(I)!ᙊMḄvw0(II)3PᙊMzḄÂÃᡠTᙊÍ\/+8-2)2=1ḄÂÃᩩ¡!Á•¼Ḅᨬᜧ.71.᝞Gm)Ò8(஻,-Ó஻)4ᑖÊᙠÔOSஹOTzJ|/×®¬Ø•Ù=-4஺Tᙶ᪗®ÜUVÙ=Ý+Ù.(I)!”"Ḅ0ß\(H)!PḄµ¶CḄvwá,-â⊤äå᪵ḄæÃ(III)/ªE(2,0)³(II)GCuMஹN4\W¬⊈=3¼!/Ḅvw.y72.BCᦪ/(X)=éÝ2+qnx,g(x)-(a+l)x(aH-l),H(x)-/(x)-g(x)»(1)ᦪ/(x)ஹg(x)ᙠcd1,2zëTᓫbᦪ¬âìḄᓫbឋ£¸!oᦪaḄ>@0

15(2)aஹBᦪH(x)Ḅ45᩽a<஺/?e(1,e(e=2.71828…)஺![\ÄÂïḄᩎxeQa,ᑗ*6k|“(ò)-"(Ý2)|<1ᡂn273.3f(x)óÍᙠ-1,1zḄ᜻ᦪ¬-l@.74.BCᙊCḄGTú(1,0)âḄÃ5ᯖ/ªvᙊ஺³u—"—"5484¬/ᚖuXOAOB=~.(I)!ᙊ஺Ḅvw06(0)ᔲᙠ/,ûᙠᙊCḄ¨üzýþᑮA48P.᝞ᙠ/Ḅ᝞ᙠᳮᵫ.75.%&ᦪᑡ)%+,=%="——1஻22,஻wN7.4(I)ᦪᑡ)*+Ḅ<⚗>?(n)Aa=—1ᦪᑡD,+ḄE஻⚗FS“an(III)Ac“=*sinLMᦪᑡ)c,JḄE஻⚗FOPQRSḄ஻eN*,T476ஹ%&Xᦪ/(x)=(Z2x_1)*(aH0)a(1)^y=/(x)ᙠ^(0,/(0))ᜐḄᑗ(2)ca<0eXᦪ/(x)Ḅᓫghi(3)c஺>0emn?/(o+qq஺,Qr£|~v,+8wឤᡂzQḄ|}஺aL)x-a77ஹ%&Xᦪ/.(x)=^—ᐸaᦪ.Inx(1)ca=2e^y=/(x)ᙠ(2,/(2))ᜐḄᑗ;

16(2)ᔲᙠᦪ஺QRSxe(0,l)U(l,+8),/(x)ுឤᡂz?mᙠᳮᵫmᙠaḄ}O.1778ஹ%&/(x)=lnx,g(x)=5X2+F+5(<0)/Xᦪ/(x)ஹg(x)ḄᑗXᦪ/(x)ḄḄᑗḄᙶ᪗lo(I)/ḄḄ}(II)m஻(x)="(x+l)-g'(x)(ᐸg'(x)g(x)Ḅ¡Xᦪ)XᦪmX)Ḅᨬᜧ};(III)c0<6

17ᱥ,+Ḅ<⚗>?(II)ᔲᙠeN+,%—mᙠ±mᙠᳮᵫ஺2s283.ᦪᑡ)%+Ḅ✌⚗4=1,En⚗FSn,qi,=———(«ò2).2s-1li(1)OPᦪᑡ)ó-+Ḅ<⚗>?(2)Aᙠᦪk,S.(l+S)(l+5)---(l+S“)ò±J2஻+1Qᑗ஻eN*ᡂz,kḄᨬᜧ}.122V284.%&&ஹF2ᑖö÷ᙊxr+ù=1(஺ò0Üò0)Ḅ±ஹúᯖᐸ±ªx«¬ahN,ὡr=2g,|üF2t2.AAஹBþ÷ᙊ▬=Ḅ,ᐸ4(1)ᙊḄABḄ᳛Ḅ53(2)!AஹBᑖ$%ᙊḄᑗ'ᑗ()*+P,-.Pᙠ••ᩩ23'4PḄ5ᙶ᪗Ḅ.3285.:;<ᦪ/(x)=ln(x+—)+—,g(x)=Inx.(1)<ᦪF)GᓫIJK2x(2)᝞Mᐵ*xḄg(x)=gx+(ᨵPᦪ᪷'PᦪRḄSᔠ(3)GᔲVᙠWᦪk,YZᐵ*xḄ/(x)=Ag(x)ᨵ[\(]ḄPᦪ᪷^᝞MVᙠ,k_`Ḅᩩa᝞M\Vᙠ'bcᳮᵫ.86ஹ:;gᱥ=2px(pு0)Ḅᯖm/'/n4(4,0)opgᱥ)*q'஺.4!stP0muḄᙊឤnw.(I)ᯖᙶ᪗(II)xy+y=y'z{|Ḅ}~.2287ஹ:;ᙊ0+q=1(஺0)3ḄᑮᯖFḄᨬG-1,qᑮ3⚔Ḅm'C(0)GFOE3Ḅ+[{.(I)ᙊḄ(H)GᔲVᙠnqopx\ᚖḄ/pᙊ)*Zஹ8'YZ

18(s+ᙠ)'4bcᳮᵫ.88ஹᙊḄᙠᙶ᪗w'+[⚔m/(0,2),ᯖFp8(⊈,0)Ḅm2஺(1)ᙊḄ(2)GᔲVᙠ᳛ANOḄ/.ஹ=-2,Y/pᙊ()*\Ḅ_`|=|/NxVᙠ'/Ḅ஺x\Vᙠ,bcᳮᵫ஺89ஹ:;ᦪᑡ¡4¢Ḅ£n⚗¥mS,,o--ᑗW᦮ᦪn¨ᨵS“=n2(1)-c.஺ᵨ+஺“=4஻+2(2)ᦪᑡ¡%¢Ḅ⚗®¯;(1Y11(3)!/(஻)=1——1——'-./(H+1)/ឤᡂ·'PᦪaḄ;(2)!Pᦪ_`.p,%rḄÕ+[ᦪា×]*a,oØ[ាm/(x)=0ḄP᪷'ᑨÚজp+q+r'ঝp2+/+/,ঞp3+/+/Gᔲm2^xG2Þß.x\G2'Þà\G2Ḅ⊤âm<ᦪg(a),4g(஺)Ḅᨬ;

19(3)*(2)Ḅg(q),!஻(4)=ã[gS)-27],ᦪᑡ¡ä¢_`஺'ᵨ=஻(%)(nwN*),6oqe(O,l),zᑨÚaåpäḄᜧ'4-c.94.᝞ç'sA|,A2mᯖḄèéEpêumcḄᙊO()*C,D,G'DîïCC|PpOB)*H,oᨵ.ð=(3+26)ñ஺ᐸ²1,A,BGᙊ஺pᙶ᪗Ḅ)'2cmèéḄêᯖ஺(1)òc=ló'èéEḄ;(2)z-.ÂÃWPᦪc,èéEḄ᳛mÍᦪ஺(3)îïACpèéE)*F,GᔲVᙠPᦪô,Y4q=ôq஺ឤᡂ·,xVᙠ'zß4Ḅx\Vᙠ'Þbcᳮᵫ.95.!<ᦪ/(x)=(a/+2+cx{a°)[-/W(x<)(1),/(-1)=0-./0#ᦪᙳᨵ/(x)20ᡂ4E(x)⊤678(2)ᙠ(1)ᙠᩩ;<=>€[-2,2]Ag(x)=/*)-DEᓫGᦪ#ᦪkḄHJ8(3)mn<0,m+n>0,a>0-/(x)"Ꮤᦪ,OPF^ni)+F(ri)>0.97.ᙠR☢TUᙶ᪗XᑁᨵZ[\]^ஹ>`a]P,ὡஹdᙶ᪗ᑖf"ὡ(-1,0)ஹF(I,O),a]Pjk^==,a]mḄno"pqC,pqCᐵstqy=xḄ.2upq"pqC',Tqy=x+m—3^pqC'wsAஹBZ]OEᙶ᪗z]AABOḄ☢{"J7,(1)pqCḄ}~;(2)mḄ஺98.ᦪᑡ{%},a=1,a|=2a„-n2+3n(neN4)}H+

20পEᔲᙠᦪ2ஹ஻ᦪᑡ%+X"2+wEᦪᑡ,ᙠᐭஹ஻Ḅ,ᙠPᳮᵫ஺ফ4=—!_s=hhh-h„GOP=“22A,ߟ--lAᦪg(x)E[1,3]ÔᦪÑAgaL=g(3)=2—3a,g(x)-g(l)-1-a,ᡠÓ஻(q)=2a_l8--------4ᑖmax(3)=A,,XG[1,2],ᑣg(x)=l-ax,ᨵgফWg(x)Mgপ;,xe[2,3],ᑣg(x)=(l-a)x—1,ᨵg(2)Wg(x)Wgব8×Øᓃg(x)min=g(2)=l-2a,-------6ᑖÚgব-gপ=(2-3a)-(l-a)=l-2a,ᦑ=OWaW8Ag(x)m"=g(3)=2-3a,ᨵ஻(a)=l-a8=;

211-2a,a<0l-a,0g(0)=0.22890<஺“<1.ᡠ6g(%)>0,ᓽ&--/(%)>0,a<--------10ᑖn+b(HD894=:.஻+Aீ(஻+1C,ᡠ62>0,92/^G22b2nᡠ6஻=2F.᝞…%42-L”K--------জ.--------12ᑖ᝞᝞M2"

222ᵫ(11)஺ᵨ<3,:%L2,0

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24ii?•/a„=-102n+-10n--................................(8ᑖ)"999ii2=_(102+104+……+102,,)+-(10+102+……=—(102n+2+1110),+1-198«-210).............................(12ᑖ)6ஹ¤]QI᧕a=Â,6=2,c=1,.ᱏ=Qߟ1,0,¬Q1.஺PQx,y,»1ÆXὡXX2=Q—1c,c᜛,Q1-,cÉ=/+/c1x2+4-—x2-1--x2+355:xG[-V5,A/5],xX=0,ᓽ§P9ᙊÊȨ̈{.o■PFᨵᨬA32xx=±J^,ᓽ§P9ᙊÑȨ̈{.Ò•ᨵᨬᜧ4QIIᎷÕᙠᩩḄÖ×/᧕§AQ5,0ᙠᙊḄ᜜Ù.xÖ×/ḄÚ᳛¨Õᙠ{.Ö×/ÜᙊÝÞ§.ᡠᙠÖ×/Ú᳛Õᙠ.9kÖ×/ḄV9y=Mx—5f22á+ᓃ=1ᵫVâ154.Q5+41—50%+125/_20=0y=ªQ1-5ã⚪åæ=20Q16—80^0,_çèªè¢J545x—1è᝕è~{.Þ§CQX].Mஹ஺Q¬..CDḄj§9R,XOM//,.50k2x,+x.25k2nᑣX,+X=-r——,x=———-=-r——1225ª2+4°o25k2+4í=©X஺-5)=6Ü^--5)=ï°°5/+45k2+4|F2cHF2DI0᜜ð=k.kF,R=T20k0-(-044)20/,kGk&Rk--------25k2~4-20k21-5k2+4

25A20k2=20k2-4,20k2=201?-4¨ᡂ.ᡠ6¨ÕᙠÖ×/,ñ|F2c|=òó|ᡠô.¨ÕᙠÖ×/.ñ|F2c|=õ2/7ஹ¤]পã⚪å.÷×Mø6§P9ᯖ§.Ö×/9ú×Ḅûᱥ×.ᡠ6÷×MḄV9y2=4x.ফপᵫ⚪å.Ö×ABḄV9:y=-V3(x-1)ᵫᔉ2£-1)3X2-10X+3=0,X1=-,x=3.ᡠA(,),B(3,—2J),|AB|=+x+2=y.2X12ᎷᙠC(-1,y),AABCᑣ|BC|=|AB||AC|=|AB|,ᓽ(3+l)2+(y+2V3)2=(^)2,l42q141?W"#4?+(y+2$)2=(3)2+(-%2,=-0('(,))(+l)2+(y—*)2=()2339+,-./0'ᙠC,AABC1.(ii)23C(31,y)AABCᡂ6ᵫy=-/(x-1)=2$,8A,B,Cᐳ.ᦑyr2lX=-IpI;;12/11ஹ2,/ஹ22846y2Ii2z162256ADX|ACr=(-l--)2+(y-y=—-2-+y\|AB|=(—)2=—3JyJJyf=>02>|?(|2+|;8|2,ᓽ28+4⌨+2>^-^y+y2+Cᓽy>,$8,/CAB6.=|AC|2>|BC|2+|ABDᓽ—y+y2>28+4v5y+y24—^ߟy<—F68NCBA6.G|AB|2>|AC|2+1BCᓽH>+V+28+473y+y2♦4r-4ᓽy'+—V3y+—<0,(y+<033J'CKLᡠ/ACB'MN6.+,=AABC68CḄPᙶ᪗yḄSTV1:?XᡈyZa*2[2\AB-]ḄᙊḄ_`(x—g)2+(y+ga=(|aᙊbc,3|$)ᑮ-.L:x=-1Ḅef|

26ᡠAB-]Ḅᙊi-.L"ᑗlGn-l,-=-./0ḄCiGqᔠ8NACB-=CiG'qᔠA,B,C'ᐳ.8;NACB┦ᓽAABCv/ACB'MN16.+,⌕AABC6xMN1NCABᡈ/CBA6.yAzABᚖ-Ḅ-.y-}=nx-.x=-1y=—3339yBiABᚖ-Ḅ-.y+2⌨=*nx-3,*=-1y=-iGᵫ=-ᓲnX-Dy=2ᡠ=CḄᙶ᪗n-1,268A,B,Cᐳ.'᪀ᡂ.+,=AABC68CḄPᙶ᪗yḄSTV110.ᓝ20,ஹஹy<---ᡈy>-*2V3.8ஹ:(1)a=b=O,ᑣf(0[>f(0)W0/.f(0)=l(2)a=x,b=-xᑣf(0)=f(x)f(-x)f(-x)=----f(x)ᵫx>08,f(x)>l>0,=x<08,-x>0,f(-x)>0f(x)=3>0Gx=o8f(0)=l>0f(-x):.xGR,f(x)>0(3)SX2>X1ᑣf(X2)>0,f(X|)>0,X2-Xi>0,77^7=f(x)-f(-x)=f(x-X])>1212f(Xi):.f(X2)>f(Xi)\f(x)ᙠR01¥¦ᦪ(4)f(x)-f(2x-x2)=f[x+(2x-x2)]=f(-x2+3x)Gl=f(0),f(x)ᙠR0⌴¥ᵫf(3x-x2)>f(0)x-x2>000g(—2)=l-5b<0]g(0)=-l-/><0gপ=H1>0

27ᓽ(2)u=/(x)஺,10g/,“ᙠ(0+°°)1#¦ᦪ¶-1-c=26>-6,¦ᦪ/'(x)=/+26x+cḄ·¸x=-b/(x)ᙠ¹º(3l-c,l-c)0¥¦ᦪ»¶T7")=log%/(x)ᙠ(-1-c,l-c)0#¦ᦪ஺/(x)ᙠ¹º(-l-c,l-c)0ឤᨵ/(x)>0,x◤/(—1-c)20,|517c=-2b—1(—

28ᦑ1+c)+/(#.•+/(0.11.n1Cx,y,•••ᵪ+Ó=2¶ᵫজÕ=—2■.\GAABCḄqbG♦•G(3,—).................................(2ᑖ)33XᵫঝM1AABCḄ᜜bJMᙠX¸0஺ᵫঞM(-,0),3ᵫIÛI=\MA\j(.2+l=j(x_y+y2ᓄÝ᦮ᳮ]+y2=l(x#0)...(6ᑖ)ফFnJI,0ា0+᮱=1Ḅâᯖ3PQḄä᳛kWOkWæᑣ-.PQḄ_`y=kx-V2ᵫu=v-⊈)n(3%2+i)x2_6çx+6F_3=0X*2+3/-3=06Bk?6k2-3P(X/),Q(X2MᑣX1+X2=ì7TX|•x2=----------n8ᑖ3/+1ᑣIPQI=Jl+஻,J(X]+î2)2—4$12=Jl+12,J(^7^~T)2_4.~~|=Y3É-+13Z+12(F+i)3k2+1-7-•.•RN_LPQ,èkᣚᡂ-L|RN|=2lx").................................(10ᑖ)k3+kS=-|PQ|-|RN|=--------y——=2-----------------------2(3/+1)ê+3)3(᮱+j)+101Q.3⊙+)+10=k2-5[83*.9k~4—22G-------216,D.3WS<2n=k=±18SCH...n12ᑖk22-S2G=k'ᙠᡈk=08S=2

2933ï0M—WSW2,D.Smax=2Smin=~..............................(1422ᑖ)2tana2(G1)12.(l)tan2aG┦1-tan2a1-(õ-1)2/-2a=%sin(2a+—)=1/(x)=x2+x44ফa”+i=ᱏ+a„6=஺2஺3,…஺஻üᜧl0C^>0na4>%%+1þ+%M(l+a஻)an1+”“1+a”an%+1,nN2a“+i>a„t7,τNQ?>19/•1<2-----v2,•**1<-------1-------F•••H------v2%+i1+q1+஺21+a”13(⚪ᑖ14ᑖ):(1),/a=2a+1,a„+1=2(a+1)..........2ᑖn+ln+1nᦑᦪᑡ'4+1()✌⚗,2,-.,2Ḅ0.ᦪᑡ஺……3ᑖa„+l=2",a„=2"—1…4ᑖ(2)43Z&T4%T…4"T=(a+156643+%+…+”")=nh-..........5ᑖn22⁐+Z>H■…+b)-2n-nbজ2nn2(bb+-+b+6?)—2(஻+1)=(஻+1)Aঝi+2n©-জE26,m—2=(஻+1)Z)„-k,ᓽ஻I—2=(஻J1)஻ᵨঞ................8ᑖ+I("+l)஻+i—2="a+2টটJঞE2⊈+1=⊈+஻P,ᓽ2%=6“+᝞.....9ᑖᡠTᦪᑡU,()0V

30ᦪᑡ(3)*.*—=----W----<-----W-----=--------11ᑖ2"+i—12,,+1-22a.nn-iXS=-----1------F…H-------,YUS<------1---(-----1-----1-…4-----)=-----1(S-------)a2a3%+1a22a/ana22a2n+}13ᑖ14ᑖ&%+i3a3n+x14.⚪ᑖ16ᑖ,Z1[\஺=1]WZ1[/z[=—2............4ᑖZ2Xg'x=/x,ᑣ

31\1•a^~~26OVqW1,ᓽla2a\r/]J/832=/(!)=CTT-ᐙᑖtW,••4{•/Wv஺6k],/(»4w+x⌕ឋW{.|60.1]6.}/W(0.1,Ca(2){~jᦪ/S)Ḅkᔣ.,,ra*.04c-1l0.£[7l0,.,/(())=13ᑖ•.•f(2)=fUx2)=[f(l)f=4,¨f(x)>0...fU)=2,f(—l)=f(l)=23ᑖফ2ஹkx+2Ax+2'kx+2ஹe+2|]22o/2N2o/"(±1)=/2&+4,2G+477£+4/+4,¨\xNO]6ᐸ«jᦪ/'(x)>0ឤᡂo6.3=/(x)ᙠ®v0,+8)e,ᓫg⌴ijᦪ

32|AX+2|>7X2+4«(P-1)X2+4AX>0জ\᝕=0]6X£{0};ঝ\J1kvO],’4"ஹ4kw4”ঞ\0c,ÃËᎷXa⚞ᓃ8c,ᵫÐÑ+6>>0,ᡠT|(x)/(x))''¿ÀÁÂjᦪ”.3ᑖÐc(l)63,3,5ÒÓ,JÔÀÁÂḄÀÇÈ6Õ32+32<52,ᡠTÃÖᙠÀÁÂT323,52,ÀÇÈ6ᦑ×(x)Ã)“¿ÀÁÂjᦪ”.4ᑖ(II)X7>0,g(x)ḄJÔᕜÙ6ᵫÐᐸÚÛ,(0,+8),ᡠT6Öᙠ஻>m>0,ÜEg(a)=l,g(஻)=2,ÝÞ᦮ᦪ/l>Òà47+A6AT+m,஻áÀÔᦪÒÓ,JÔÀÁÂḄÀÇÈ6TÕg(஻+M=l,g("+m)=l,g(஻)=2ÃãÓ,ÄäJÔÀÁÂḄÀÇÈ.ᦑg(x)Ã)“¿ÀÁÂjᦪ8ᑖ5ç(III)/ḄᨬᜧÚ,À.9ᑖ6•☢6éZுJ6ë/(x)Ã)“¿ÀÁÂjᦪ”.6ìᯠáÀÔᦪÒÓ,JÔÀÁÂḄÀÇÈ6Õ266v7

33sin"=l,sin"=[sin5"=1ÃãÓ,ÄäJÔÀÁÂḄÀÇÈ6ᦑ/xÃ)26262“¿ÀÁÂjᦪ”.îJ☢6Tëï4=ð]6Zx)“¿ÀÁÂjᦪ54ÄñÀÁÂḄÀÇòx஺6}a,b,cwO,~?,ᑣᑖóôõ᝞:6(1)Q+6+C...2ç,..._._5%57cTC.71U.ᓃ]ci...2ö-b-c>2ö---------—,÷ᳮ6bஹc>—,6633,4C€(஺,Ãᦑsina,sin6,since(q61]sin4/4-sin/)>—+—=1...sinc.22÷ᳮÒëᐸùú.6sina,sinb,sincÒÓ,ûÔÀÁÂḄÀÇÈ.(2)Q+6+C<2öü]6”k+,ÒE᝞ýþÿ22a+bXᐔ2j-T,c-zca+bxᐔ----Wᵫa+6>c,ᡠ0<-<------W—.22222ᵫsinxᙠ(0,-]Ḅᓫឋ00<<-------<—,22222᪵ᵫsinxᙠ(0,21Ḅᓫឋ0cos—>cos——>0,22212..,c.a+ba-b,cc..sin"7+sin6=2sin------cos------>2sin—cos—=sine.2222STTᳮ.ᐸ%01ᡠsin“,sinb,sinc2345678Ḅ69:.ᦑ/=?■F"x3“B678'ᦪ”.DZḄᨬᜧGH3.6

3418^I(I),/S=-----(q-1),/.a=a,1xa-lJ"22(=5“-5,1=#q--K/_|,67-12=஺ᓽq3OPᦪᑡ.4=஺"1=஺஻................4ᑖ%2.——(an-1)G?(H)ᵫ(I)U஻=—------+1=.(3஺-1)஺“=2஺,Z2,[HOPᦪ\ij,aa\a-\)mi-/-i2i>-r--1.3a+2,3a~+2஺+2ᑣᨵb~=b®,`4=3,b?-------2=-----------,2aa",,/3Q+2263Q~+2a+2ᑘಘ1ᦑ(-----)2=3---------------,I"........................7ᑖaa3cd஺=1eᐭ6“=3"ᡂhᡠ஺=1............8ᑖ33III.iᵫ"IIU஺“=”ᡠq,=T-+T—3"3,,+1--------1-----;----3"+13,,+1-11+(?"1-(3)+3"+1-13"+1-1+1,11c,11ஹ1=1F14=2—(----)9ᑖ3"+1----3'k1--------3஻+1--------3w+,-1---------3"+13,,+1-1.1111,l11_J____1_ᵫ----<—,—>--fj--------3,+—

35a-a_=(w-l)c,ᡠ=0+2+…+=஻஺஺nn}q=2,c=2,ᦑ=2+஻(஻—1)=/—஻+2(஻=2,3,…).Jn=l12ᡂh,ᡠ=YT஻+2(஻=1,2…)....8ᑖ(III)b=32n-2-3n-'+2,lim᝞>=9.....12ᑖnbnNP=2NQ20ஹI(1)__ߟ=>QHPNḄGQ_LPNGQPN=0=>GQHPNḄᚖ=>|PG|=|GN|.,.|GN|+|GM|=|MP|=6,ᦑGḄ3MஹNHᯖḄᙊᐸ:¢£:a=3,¢lx2V2ᯖ¥஺=¦...§¢£:b=2,...GḄ¨©3ஹ+2=1.....5ᑖ94(2)qHOS=O/+O8,ᡠr98OASBH°±r98Z²ᙠ/³0s^\ABIᑣr98OASBHµ8OAOB=0x=2(x=2Z/Ḅ¶᳛v²ᙠ¸/Ḅ¨©H¹2,ᵫ/2º---F-=1V=±---94ᓃ3.•஺/஺8=¨>0,À஺஻-08=0ÁÂᦑ/Ḅ¶᳛²ᙠ......7ᑖÄ/Ḅ¨©Hy=k(x-2),A(x,,y,),B(X,y)22y=k(x-2)ᵫ(9^2+4)X236s2Ç+36(È-1)=0I9436k236(È2—1)X.4-X=-----;-------,X.X=------------------জ22129È2+4I29È2+4É%=%(Ê2)]Ì(Ç2-2)]20k2=k2[xx-2(x,+x)+4]=ߟ-ঝ..........9ᑖ]22ÎজஹঝeᐭÐX2+ÑH=oÈ=±5²ᙠ¸l:3x-2y-6=0ᡈ3x+2\—6=0³r98OASBḄÓ7ÔO.

3621ஹI(1)ABHᙶ᪗×ABᡠᙠ¸Hx£Øh°☢¸7ᙶ᪗Úᑣ஻(3,0),B(3,0),C(5,2")ᑣ|/C|=45+3)2+(2±Ü=2᧼kmᓽAஹC05ᦗÞßḄ¥àH2JT?Èä(2)'{\PC\=\PB\,ᡠPᙠBCåḄᚖ¸°ᑖ•|¹H|¹/|=4,ᡠPᙠAஹBHᯖḄæçḄÈè|/=6æ稩Héߟ}=1(x<0)BCḄᚖ¸°ᑖḄ¨©Hx+ë-7=0ὶh0¨©Ix=-8P(-8,5A/3),k=tan/PAB=-V3PA.,.ZPAB=120°ᡠPᙠAḄᓅñÐ30஺ᜐব᝞ôÄ|PQ|=஻\PB\^x,\PA\^yV\QB\-\QA\=7x2+h2-7/+h222L=(x-y)•L]SVx2+h2+Jy2+஻2J/+/+yjy2+h1..õ31mH÷ø᦮úᓽAஹBᦈᑮý#Ḅþÿ22ஹ(I)ᦪḄᨬ1,Vl+7.Ji7,...................3ᑖᵫ/(1)=0,#c=_“_6_l/(x)=x3+ax1+bx+c=x3+ax2+Ax—(Q+++1)=(x—l)[x2+(Q+l)x+(Q+/)+1)],ᦑ01f+(a+1"+(a+6+1)=0Ḅ5᪷7,Vl+7.ᦑJ1-7+J1+/=—(a+l),yjl-t-yjl+t-a+b+l............4ᑖ(Vi^7+Vi+7)2=(a+l)2,ᓽ2+2(a+/?+l)=(a+l)2

37“2=26+3.5ᑖ(II)জ⚪@701/5)=3Y2+2B+6=0Ḅ᪷Cᦑᨵ᳝+஽=G?-,HI=(2a)2-126ு0,#6<3.ᵫ|᳝G/M7(XI+X2)2-4XIX2=.........7ᑖ=2O#Cb=2,Q2=26+3=7.33ᵫ(DRyj\—t++1=—(a+1)>0»ᦑa<—1,Cl-5/7,C-—(<7++1)=y/y-3/(X)=X3-V7X2+2X+V7-3.................9ᑖঝ|M-N|=|/(%!)-/(%)|=|(x-£)+a(x,2-%2)+/>(%]-x)|22=|-x1•|(%)+x)2-xx+“a+%)+b|22x22\j3-hlab2a2=-3-1(_7)G_]+"G7)+"ᝯ4--49—«2-(ᡈ^ᵞ-/)................11ᑖᵫ(Dg+i)2=(Vi7+VTT7)2=2+2A/H'/0/2,-3

38(DᵫC=4y#y=.•.y'=gx..•.mn/Ḅo᳛y'|x=2=lC............1ᑖᦑ/Ḅ01y-x-\,CqAᙶ᪗(1,0)....................................................2ᑖtM(x,y)ᑣAB=(1,0),~BM=(x-2,y\JM=(x-1,y),ᵫ0v+&|w|=0#(x-2)+y-O+0.yl(x-l)2+y2=0.2r᦮ᳮC#5+y2=1.……4ᑖ.♦.qMḄz{|}q~CᯖqᙠxC2jC2Ḅᙊ.....5ᑖ(II)᝞C⚪@Rmn/Ḅo᳛ᙠHCt/01ᓝG2)(%W0)জজᐭ+/=],᦮ᳮC#2(22+1)2-sk2-x+(8A2-2)=0,,1ᵫI>()#OvQV].tEg,y\),F(X>y2)282X]+x2-2r+1ᑣ<ঝ7ᑖ81—22=22+/=ᑣ=ᵫ¡#w=/i•w,4=¢2,JLO

39ᑖ24.(k⚪lᑖ14ᑖ)(I)ᵫ⚪@g(x)=px—2—21nx,xeg(e)=pe---2,.\pe---2=qe---2,eee(p-q)e+(p-q)--0,.,.(᜛G᜛)(஺+—)=0,eewe+■w0,Cp᜛..............................3ᑖ(II)ᵫ(I)Rg(x)=px---2Inx,gz(x)=p+=---2"+",xxxx஻(x)=pf—2r+p.⌕³g(x)ᙠ(0,+8)ᓫµᦪC¶◤h(x)ᙠ(0,+8)l¸h(x)20ᡈh(x)<0ឤᡂ».........................4ᑖ2xজp=0¼Ch[x}=-2x,x>0,½.h(x)<0,/.g'(x)=——-<0,xga)ᙠ(o,+8)ᓫµ⌴¿C.p=o〉ᔠ⚪@...................5ᑖঝÂp>0¼CCh(x)=px2-2x+pÃÄÅᔣÇᱥnCÉÊG£(0,+8)..••+(%)Ë஻=p-¶◤᜛GG20,ᓽpNl¼+(x)N0,g'(x)PPP20,g(x)ᙠ(0,+8)ᓫµ⌴ÍCpei〉ᔠ⚪@................7ᑖঞÂpீ0¼C6(x)=pf—2x+pÃÄÅᔣÐḄÇᱥnCᐸÒÉÊGÓ(0,+oo),P¶◤஻(0)W0,ᓽpWO¼/?(0)W(0,+8)ឤᡂ».Ag,(x)<0C1g(x)ᙠ(0,+°°)ᓫµ⌴¿C:•pvO〉ᔠ⚪@.Ôজ@ঞ¡#Cp21ᡈpWO.....................................................9ᑖ(III)Ö×জᓽÖInx—x+IWO(x>0),11-rt(x)=Inx-x+1,Ølj'(x)=----1=--------.xxÂ(0,1)¼Ck(x)>0,%(x)ᓫµ⌴ÍᦪOÂÙ£(1,8)¼Cᦇ'(x)vo,,.%(%)ᓫµ⌴¿ᦪO-1k(x)Ḅ᩽ᜧqCka)wk(D=o.ᓽlax-x+IWO,/.Inx^x_1.............................................11ᑖঝᵫজRInxWx—1,ex>0,[nxx-1----«----1--xxX

40n€N*,n>2¼,x=/,#Ý<1--^-.nnÞ4(11)Cn2nIn2In3In஻C1ß11111ஹ=OK-1)M+*…+5)]2—(----------)G“3"-13'ᵨ—13"3M+1ñw7O=G+C2+---+C,,>[2-(1-^-)]+[2-(^---^-)]+---[2-(^--^-)]=2஻-[ò-ó+&-")+…+(*ô)]=2஻—(Gô)>2஻-g•BP7O>2«-1..........................................14ᑖ

4126(I)t------=x=>(1—b)x2+cx+a-0(Z)1)bx-c2+0=--—a=01—bx26=l+£"(X)2x0=—2\-b-21ᵫ/(G2)0X+1XX:1+L=;%>o,=ij%>1,%=-^ߟX/-I>:g(7)=TTn/,g'(/)=l-;ᵫ/£(l,+oo)Ag'(/)>0£(1,+8)-g(/)ᓫD⌴F,.g(/)>g(l)=0&'—1>In71X+[ᓽ>ln——,x>0জXX:h(t)=InZ-1+-,hr(t)=----ᵫZ£(1,+8)A஻”)>0tZJJ•Z£(1,+00)//(/)ᓫD⌴F,/?(/)ு஻(1)=0&'-ltx+11ᓽIn----->------,x>0ঝXX+1

42ᵫজஹঝNA0,]_/(a—x)Z/~(a)+01+/(a—x)஻x)/(a)/(x)~lcd-x)-a]-/ভ_/g—x)-L/g-x).l+./(-v)/(x)-lf=-/(X),a&[\]ᑁḄijXklᡂn.,./(x)-᜻pᦪ(4ᑖ)(2)᧕)Z/(x+4a)=f(x),ᕜt-4G(8ᑖ)/(஺)Z/(஺)+1_i—/g(3)f(2a)=f(a+a)-f\a-(-o')]==0,f(-a)-JXa)-2/(a)/(2a)஻-a)+l1f(3a)=f(2a+a)=f\2a-(-a)]==-1.~j\a)ᐜ)7/(x)ᙠ2m3vwᓫD⌴-2xy)7xd(2a,3a)/(x)<0,z2aீxv3஺PPJO0.../(xXO.(10ᑖ)f(2a)f(x)/(x)z2a0,-f(,x)=1>0'>/(X2)2./(x2/./(x)ᙠ[2a,3a]wᓫD⌴----------------------------------(12ᑖ)/./(x)ᙠ[2a,3ᵨwḄᨬᜧk-/(2a=0,ᨬk-/(3a)=-l28ஹYZ(I)z`M(x,y),ᵫ2+3=6P(0,g),Q(-,0).

43ᵫ•=0,(3,•(X,£)=0,ᓽy2=4x`QᙠxḄwx>0ᦑ`MḄCḄ'/=4x(x>0)........6ᑖ(II)YZᵫ⚪NAN-ᱥC:y2=4xḄᯖ`¡AஹB-¤ᯖ`NḄ¥!ᱥCḄj¦`஺¥AB§᳛*©ᙠA(1,2),B(1,-2),|AB|=41,ᡠQ%=3,%=g,30ᵫ48=24N,2=———=----=—..................13X”—X|3—13ᑖYµZᵫ⚪zᩩ·x2=4x,(1)¸=¹ফ<—Ḅ=(3)%x=»(4)y/(x-x,)2+(y-y,)2(5)22ஹJᵫবஹভ¾7+À7|)Á=(1-ಘ%°ᐭ(2)(1-1)2஺=4>+42(1-%)>Ãপ°ᐭwUᓄÆ(2-l)x,=1(6)……9ᑖÉ᪵Ã(3)ஹ(4)°ᐭ(5)UËᔠ(DᓄÆÍN(l+X,)/l=y(7)……11ᑖ2=4.4ᵫ(6)ஹ(7)Y41,X]>1,ᦑÎ=—.Xஹ3.X]=3

4429ஹY:IzÏᙊWḄ-=1Gᵫ⚪NAc13~va1=6?+c?,Y஺=\/6,c=2,b=V2,CT2---=6,x2V2ᡠQÏᙊWḄ-µ+×=1.................................4ᑖ62(11)Y1ZØ-ÙÚ-*=-×=-3,ᡠQ`/ᙶ᪗-(-3,0).&'Nz¥/cḄ-Þ=Ù஺+3ß.y=kAx+3?,■2à1+3Ù2*+18Ù2%+27Ù2—6=0.y---1---=162ᵫ¥/!ÏᙊW¦&Nஹ8`NA7â=à18Ù2ß2-4à1+3Ù2ßà27᱄_6ß>0,Yk2Vq.z`Z,3Ḅᙶ᪗ᑖç-àèxß,à஽8ß-18A227k2-6,,d/ஹஹnlᑣë+%2=]+3/'X|&=]+3r,=î⚗+3ß%=Ùàð+3ß.Ø-ñà2,0ß,஺àò,óßᡠQ/஺µ51+2,-cßFB=Ax+2,y?.22Ø-à´+2?y-Ax+2ßà-cß=àX|+2?kAx+3ß+àx+2ß%à%+3ß222254Ù2—12-90Ù2=k[2xx+5à%i+X+12]-k[++12]]221+3Õ1+3ÕÙà5442-12—90Ù2+12+36%2ßᡠQõ=2õ.........10ᑖ1+3ÕY2ZØ-ÙÚ-x=--3,ᡠQ`A/ᙶ᪗-(—3,0).

45&'Nz¥/Ḅ-y=%x+3,`4,8Ḅᙶ᪗ᑖç-à□,cß஺28ßᑣ`஺Ḅᙶ᪗-à>,xßy=kx+3,y=kx+3.tt22ᵫÏᙊḄfµ[\N\FB\X+3|^|2=2\FC\~x3~\y\Gi+iᡠQ8,F,஺÷`ᐳᓽCñ=/LF8..................................................10ᑖ(ù)ᵫ⚪AS-^\MF\\y\+^\MF\\y\^^\MF\-\y+y\^^\Kx+x)+6k\l2i2l2µ3Ø336¡úÕ="=”ᡂn,----------------------—-----1+3w2—+3|ZZ|2623IMᡠQAM8C☢üSḄᨬᜧk-ᙶ.30ஹYZàIVñà1,1°ᐭᱥCḄyý=-1,/.ᱥCḄ-y=——,ᓽx2=-y.ᯖ`ᙶ᪗-ñà0,--......................................................4ᑖ4àIIz¥PAḄ-y+1=ᓃx—1,ὶ<,y/+ᓰ10,y=-x.ᑣ1X]=-1,ᓽ=]1.ᵫ=&-4—%—1=A[+22>0,[w—2.......................7ᑖᳮPBḄ"y+1=&(%-1)$y+1=%(%—1)$ஹὶ*/y++,-10,.-X.ᑣ1,%2=—%2-Lᓽ£=_h_1._EL஻2W—2.2,/%+42=0,{.k[w2.9ᑖ

4634MḄᙶ᪗"(x,y),ᵫ7=8$ᑣx=9:;kஹ12—1—2—(<+k2)%~2-2.2••1+2=0,$%=-1...........................................................11ᑖI$_>+%__X__(|_1)2_(_.2_])2__(_%-1)2-1)2y-—2—-2-2-T~=-(᝚>]w±2,y-5.ᡠBMḄCD"x=—l(y<—1EyW—5).31.F(I)f\x)=ax2+lbx+c,ᵫ⚪HIJᦪḄLMHN/'প=஻+2b+c=0,(1)f\rri)=anr+2bm+c=-a,(2)......................2ᑖa0,...........3ᑖᵫ(1)c=-a-2b,STᐭ஺

47|5-/|=|-஽|=2+"$ᵫ(I)hOW^<1|s-/|Ḅ"[2.4)d…12ᑖaa(III)ᵫ/'(x)+4<0,ᓽax2+2bx+a+c<0,ᓽax2+2bx-2b<0,"a<0,ᑣX2+22X-22>O,᦮ᳮ(2X-2)2+->0,aaa3g(-)=(2x-2)-+x2,P¡ᐵ¢2Ḅ£ᦪ$aaaᵫ⚪Hg(2)>o¥¢ow20,[x2>0,ᵫ⚪H$[A-,+oo)c(-oo,-V3-l]U[V3-l,+oo),ᦑ$6-1,¶Ḅᨬ"¯—1.................16ᑖ32.(¸⚪¹ᑖ12ᑖ)F(1)º⚪H$»¼½¾&Ḅ¡0,1,6,8.33.(¸⚪¹ᑖ14ᑖ)FপV2=a2-b2>c2=4w2.……2ᑖ\•o:0c{.PF1PF,........3ᑖ.”ᔊÂ+Ãᕜ2=(2cÅ=16/.……5ᑖ}2ᵫÆᙊÈNPh|.É+Ãᵨ=2஺=2L᪷$(Ëᵨ+|ÌÅ=16ᶭ+8=24/..6ᑖÎÏY2=1$c2=4/M2=4>c=2.Ð(ߟ2,0)ஹF(2,0).........7ᑖ2(2)VF,(-2,0),F(2,0),2ᵫÕh|஺Ö|=×|஺Ø$ᓽºm|2=2|°Ø2,ᡠᨵÛᵨ2=2Ü,Å1),3P(x,y),…9ᑖᑣ(x+2)+y~=2[(x—2)+y~-I$…12ᑖQP(x-6)2+/=32(^x2+/-12x+4=0)

48âËᡠã,ᡠBCD":(x-6)2+/=32.…14ᑖ34.(¸⚪¹ᑖ14ᑖ)F:(1)ᵫan+[=%+6an-i,a+i4_2a=3(a+2a))(n>2)nnnnVai=5,a=5/.a+2ai=1522ᦑᦪᑡ{aa+2an}¡15"✌⚗$3"%èḄlèᦪᑡ........5ᑖ(2)ᵫ(1)an+i+2an=53"ᵫéÈrᦪêPড+—3"")=-2-3")ᓽa-3n=2(-2)n-1ᦑa=3n+2(-2)n-1=3n-(-2)n...........9ᑖnn2(3)ᵫ3nbn=n(3n—an)=n[3n—3n+(—2)n]=ii(—2)n,.\b=n(-j)nn2222ìSn=|b11+◌+…+|bn|=§+2(î+3ï+...+n(j)n|sn=(I)2+2(|)3+...+(n-1)(|)n+n(|)n+1................11ᑖ22ni999703ðJ777§Sn=§+qy+q)3+…+q)n_nqñ=----3-------n(^)n+l=2[1-(3)n]-n(^)n+l1-372S=6[l-(3)n]-3n(3)n+1<6n⌕ó|bi|+|b2|+...ᓝ|bn|ீm¥¢nGN*ឤᡂ$ö÷ø6...14ᑖ35.(¸⚪¹ᑖ14ᑖ)XX<ù+*2)2X_X_F(1)24,vEúv2{lûᡂ$k1(0,-]ᦑ”Ḅ"4.............5ᑖ(2)Fê(ᦪê)(----2)(-------/)=------+",2-----1------xxxxxx}2}2211k?—IA?—1=X|XH---------------------=/--------F2=஻------------F2.......6ᑖ2xxxxxxu}2}2}2ᵫ0<஻4ḱ$2421,42120$$/(")="-1+2ᙠ(0,]Ë¡ᦪ,.......74u4ᑖ11,2,c%2c4,2஻ஹ2ᡠ(,_f)(,_஽)=$$_ð+2«Sî+2=S_2+þ=(7—5)X],2U

49,1-1,k2ஹ2ᓽvZ1-------24^ᡂ•9ᑖḄ/1ஹ/1ஹ/2\21+x4k2---/X----T27&=----+XjX---------------------------------C2*X2kxxk242i2,-3-(1-/2)-(±+±-2)k2-4XJXk2-4XJX(XJ-x)2222xஹx2k4xxk1xx4XX2]}2x2342—4%7=8%29ᐭ;(J___)_(8_2)2=(]12)(4_-ீ/A)xx,X2(2k4k2xx6ᑖ2.2,*,(X1—x)20,E214—k?X\X?~4K—4(1—Zr")—k?X'X2<0,2.(—'2)~(4ߟN2%/2—442)<0,4k2xx129ᑖ3OᦪQ(᳝)('X2)=஻+^^+2=/("),ᑣ(±—2)2=/(—),x\x2u2k2k2ᓽVWf(u)>/(L)Y஻1ឤᡂḄ᝕Ḅ].10ᑖ41ஹ/1ஹ/k2.z2zᵫ2`N⌕WF⚗d225■Yghi,2E஺ឤᡂNAᨵ0ீmn1Nop1—q0,1_12•••Oᦪ/“="+^+2ᙠ0,JiWvw⌴yNᙠz/1E2,+8w⌴{,.....12ᑖuEk2|2-----⌕WOᦪ/஻ᙠ0,—vwឤᨵ/஻2/—NAᨵL4J1qNᓽE4+16/16«0,444;0<344~8...........14ᑖḄ

50,Jxz1x,k22(x,-X)2(4-^2X,X-4Zr2)22ᵫফf)dd)=-4ᐭN⌕ឤᡂNA442⚗2-44220ឤᡂN........10ᑖ4-4"2ᓽீ*ឤᡂN........11ᑖ“2"24—4"2ᵫ0n/ீ;^^4^Nᓽ/+16/1640N.......131244k2ᑖ;0ீm244-8.,1ஹ,1ஹ.2ஹ,op%—%25v2ឤᡂḄ42Ḅ]0nE244—8......14X-yZKᑖ36ஹ1ᙊḄᯖ+2c,o+£=⌭Nᡠᨵ".2,ᦑᨵ஺2=3஻஺a3a23ᙊCḄᓄ+x2+3y2^3b2জ....2ᑖ᧕`~ᯖᔆḄᙶ᪗+ஹ3,0,£⚪hᨵ48ᡠᙠḄ¥¦+y=x-42bঝ.....ᔩᑖᵫজNঝᨵ4——6©+=0ঞ2«,¬,8%N+NN8Ḅ/Nx°,°Nᵫঞ±²³´ᳮᨵ:x.+x,3y[2b=x°-6b=(b.&:&+ᡠJK°N=·=,Nᓽ+ᡠV஺/32¸ᯠON»08+¼☢ᔣ¿ḄÀÁÂNᵫ¼☢ᔣ¿ÁôᳮNYÄż☢ᑁḄᔣ¿ÇNᨵÈÉᨵYÊᦪNW;Ë=4++஻ᡂ஺”x,y,ᵫ1/ᔜḄᙶ᪗ᨵ:x,y=,A+஻ᓰ,&2N

51ᡠx=Ðv+Ñ2Ny=Òv+Ó2஺.....7ᑖÔᙠᙊCᓃᡠᨵ(Ð1+/2)2+3(Ö+Ṻ2/=3᦮ᳮ+"(xÙ+3y)+//8Ú+3%4+2M8஽+3Ý+)=362oট,àá30b3h2ᵫঞᨵ+â2=---,XvNX2=ã஺ᡠX1X+3yy=xx+3(x-72/7)(x-42b)=4x^-3y/2b(x+x)+6b2,2t2t2t22l2=3/>2-962+662=0ÔAஹBᙠᙊwNᦑᨵ(xè+3+2)=3ᔢ82+3%2)=3஻ড3ঠNড9ᐭট;22+஻2=v஺.....HᑖYÄᙊwḄíî“NïðᙠYÊᦪNWOA/=ÙIQ4+஻O8ᡂN&+/?=1ᙠ¥ôᙶ᪗õX-஺-y/NöP(/l,஻)Nxùúûù+üýNþ¦OP+ÿḄ஺ᯠ/L=cose,஻=sin஺஺ᙊC!M#$ᙠ஺(஺£R)*+,0M-cos6OA-VsinOOBᡂ2஺37ஹ(1)789A/(x,y),ᑣᵫ⚪9?|MrHy+2|-1,........1ᑖᓽ,x2+(f2=|J2|_1LyN—2O,J-+ব_1)2=y+R,ᓄT?*2=4yW........3ᑖL.<-2O,Y+3_1)2=_Z3,........4ᑖᓄT?F=8y+8]^<-3_ᔠᦑ!MḄbcCḄde=4f........5ᑖ(1)78J•.•!iᑮ!Z(1,0)Ḅklmnᑮop/:y=-2Ḅklr1,.•.!Mᙠop/Ḅd!MᑮF(1,0)Ḅkl]nᑮop/'t=-1Ḅklu+........3ᑖ

52.•.!஻ḄbcCvZᯖ!/xpḄyᱥpᡠv|pCḄde/=4y..............5ᑖ}2LopmḄ~᳛_$ᙠOn]|pCᨵ!_ᔠ⚪9opmḄdey-2=kx-2,ᓽy="+2—2k,ᐭ/=4y?—4+8/-1=0}ਮ........6ᑖ=16/2+2>0eRឤᡂ2ᡠvop]|pCឤᨵ_Ḅ!9!A,BḄᙶ᪗ᑖ4,,82%ᑣ+/=4^,XJX=8-1..............7ᑖ2জᵫᑐ=G4=1?!P஻8Ḅ!J.X]+2=4,ᑣ4=4,k=1/.opḄdex-y=0..............9ᑖঝ.|AB|=/}]712+5-2=7,1+^2/[,X+X/2-4XX]=4ylA\+k2k2-2k+22121!0ᑮopmḄkld=,2',J1+/S=^\AB\-d=4\k-\\“221+2=4^k-14+k-12..................10MBOv%஺=4{.44-1Z+}-Ip=4^/2,•.14+12—2=0,}12=1ᡈ—12=-2}k=0ᡈ=2..............12ᑖL=0Ode}ਮḄ7±2ᖾ¡X[=2-\/2,X=-2A/^,ᑣ4=——=3-2-\[22-2V2-1¡X]=-2A/^,X2=2A/^,ᑣa=2=3+2..............13ᑖ-2V2-2L=2Ode}ਮḄ74±2/¡¢=4+24,X2=4-24,ᑣW1=-2-2,=3+29-2-2V2

53¡¢=4-2/%=4+2&,ᑣ4=-2+2,=3-..............14ᑖ-2+2V2ᡠv=3+2£ᡈ4=3—2¤38ஹ7(1)•.•!ᨴ(஻,S,)¦ᙠ§ᦪ/(x)=/+2xḄ©ªᓃS“=/+2஻(஻eN*),LnN2Oa=S-S_=2n+\.nnnxLn=lOq=&=3¬,ᡠvᦪᑡ{%}Ḅ±⚗³,%=2஻+1........3ᑖ(2)ᵫ/(x)=/+2x´µ¶?/'(x)=2x+2•.•·!£(஻,S,)ḄᑗpḄ~᳛%“.♦/“=2஻+2.b=2*”/=4(2஻+1),4".n.•.Tn=4x3x4+4x5x42+4x7x43+…+4x(2஻+l)x4”জᵫজX4,?4T=4x3x4?+4x5x43+4x7x44+•-.+4x(2»+1)x4"+10liজ-ঝ?-3T=4[3x4+2x(42+43+…+4")-(2஻+l)x4"[n“J”c42(l-4n-')c¼"+JT6/7+1,,,+216¼=43x4+2x--------------(2»+1)x4,,+lT=---------4,,+2——............7ᑖ1-4Jn99(3)Q={x^x=2n+2,neN"},R={x\x=An+2,n&N'}QR=R.•c“€QcR,ᐸG0cHḄᨬrᦪq=6.,/{c}³À4ḄÁᦪJJ஺=4m+6(meN*).n110<4/77+6<115ÂW1102)-------2ᑖn+l

543Â6=—,஺2=2¬,஺஻+]=2஺஻1(஻£1)=>஺஻+]-1=2(q1)(஻EN')ᦪtIJÎq-1ϳm2,✌⚗-1=WḄ+mᦪᑡ-------4ᑖa1=_LX2"T=2"-2---------6ᑖ2ঝS“=q+a+...+a„=(2-1+1)+(2°+1)+(2'+1)+...+(2,"2+1)2ঝS"=a+a+...+a12n=(2-1+1)+(2°+1)+(2'+1)+...+(2B-2+1)=(2-1+20+2'+...2,'-2)+H=-^-+n--------(9ᑖ)1×S-n2n-1lim×=lim---=lim--J=2----------(12ᑖ)XT8aXT82"7+2XT8122+T40ஹ7(1)Úx=gḄ/(W)=WÚx×=!=/(-)+/(-)nnn2nn1"1(2)a„=/(0)+/(-)+-+/(——)+/(1)nn஻11Âa“=/(1)+/(-)+-+/(-)+/(0),unn1n—1஻+12%=[/(0)+/(1)]+[/(-)+/(——)]+•-•+[/(1)+/(O)]=--nn2%="^(஻GN*)a„-a„=1,ᦑᦪᑡÎ%Ï+Àᦪᑡ+i4_4(3)bn4a“-1nT=b1+b14----b1-16(1+JH--H---1--"12"2232n211<16[1++----+••+஻(/-1))U22x3=160+(1-…+(×~^-]=16(2--)=32--=Sn223n-

55nnT„

56=2a+2n2=2b(n22).......3ᑖnnᵫq=2஺+1?%=4஺"=%+4=4஺+4,<7^-1,:.&஺0,........4ᑖᓽÎ஻Ïåæ2⚗çv2³mḄ+mᦪᑡ஺.......5ᑖ(2)S=a+(4°+4)(2"'"1)__2)2"........8ᑖn=3a4+(2o+S“_(2a+2)2"-3a-4_2+3“+4LnN2O,~S^~(2a+2)2"-'-3a-4~+(a+\)2"~'-3a-4VÎS,J+mᦪᑡ9×(n22)èᦪS“T4•*.3a+4=0,ᓽ஺=—஺........11ᑖ3(3)ᵫ(1)éL“22O6“=(4஺+4)2"-2=(஺+1)2”,2«+1(»=1)ᡠv="13ᑖ(67+1)2"-W2(M>2);ᡠvᦪᑡÎ4Ï2a+l,4a,8a-l,16a,32a+7,…ᯠᨬr⚗íî⚗Ḅ⚗஺........15ᑖLae(OW)Oᨬr⚗8a-lWL஺=Oᨬr⚗4aᡈ8a-lW.....16ᑖ4LaOᨬr⚗4aWLOᨬr⚗4aᡈ2a+lW........17ᑖ2Lae(W,+oo)Oᨬr⚗2a+l஺........18ᑖ42.7(1)ð=4........4ᑖ,2(2)9N(—,T)(t>0),ᑣ"(ò,2/),F(l,0)o4óMஹFஹNᐳpᑣᨵõ^JöM.......6ᑖ

57ᡠv^÷=*7?r=JI,...............8ᑖÂ1ø4ᡠv=ù=2/................10ᑖ2-1óúopMNḄdey=2û(1)஺.......11ᑖ(3)“⌮ᔣþ⚪”জÿᱥCV=2.(/?>0)ḄᯖF,FḄᱥCPஹQPᐵxḄR,ᑣRQ(-5,0)஺.......13ᑖFḄy=k(x—5)(!,)Q(x,y),ᑣ#($,—&)22/=4x2ᵫvk(P)*+—(Pk2+4)X+.P%2=0ᡠ-.ᐭ2=7-................14ᑖ/-9ARA15ᑖX'+2X'+2%(12-9)-xj+(X29)kQQAA=-------P-=--------P----=--------n-᝕RA,...............16ᑖX2+yXlX2+yXl᳝+5ᡠ-RQᯖA஺........17ᑖ678ᡂ:;<ᨬ>*6ᑖ஺?ঝ/(2B,0)ḄᱥCPஹQFPCᱥD2R,ᑣRQᚖx஺678ᡂ:;<ᨬ>*6ᑖ஺?ঞGᱥC/=2*5>0),B(m,0)(m>0)ḄᱥCPஹQPᐵxḄR,ᑣRQA(-m,0)»678ᡂ:;<ᨬ>*7ᑖᐸIJ⚪3ᑖ஺?22v“⌮ᔣJ⚪”PQRᙊC0+4=1ḄᯖFi(-c,0),F(C,0),F2ḄRᙊ2a2b22CPஹQPᐵXḄR,ᑣRQ/(T,0)஺c678ᡂ:;<ᨬ>*9ᑖᐸIJ⚪4ᑖ஺?“⌮ᔣJ⚪”UGVWCP2Xt=iḄᯖF(c,0),F(C,0),F2ḄV2a2b2

582WCPஹQPᐵXḄR,ᑣRQ4(2,0)஺c678ᡂ:;<ᨬ>*9ᑖᐸIJ⚪4ᑖ஺?ᐸZ;<[᯿]ᑖ஺43.পq+_`-a4=1,ᡠ-bc2ᑖ10—o4(2)a%>0,%~'ு0,ᡠ-16-8%>0,0<%<2.-3ᑖ5_5+2a„5_48(4-e)_3%2e16-8a„-4-32(2-a„)~2-2-a„)a2-%>0,ᡠ-b”22Cfg.....................................6ᑖaqߟ■!=_eீ()-1-<0,a--|<0,3…an~~^<ᓽl<(•......................................................8ᑖ31/ஹ31,311c7(3)o஻22q------r----^.᝞=2%22-%422-%22_5410ᑖᡠ-஻v2•b_<22-b_<…<2஻2v=2ᱏ,................................................................12ᑖnxn23-஻?ᡠ-S=b.+6,+•••+“<1----F•—F-------{(2”-1)14ᑖ஻I2"4221-2444.(1)P•oa=lq/'(x)=3%223,|}(x)=0,*_0ᡈx=l..............................2ᑖoX£(0,l)qfr(x)<0,oXW(-OO,0)U(l,+8)q/'(x)>0•/(X)ᙠ(0,1)Xᓫ⌴,ᙠ(-8,0)UL+8)Xᓫ⌴•/(%)Ḅ᩽/প=2……4ᑖ(2)/'(1)=3%2—3஺23a..........................................................................................6ᑖ••⌕x+y+m=0Ḅ£#Wy=/(x)Ḅᑗoo-lீ3a,<7<—..................................................................................................................................8ᑖ3(3)ag(x)=|/(x)|=,-3fᙠXᏔᦪᦑᙠ0,1Xᨬᜧ,.......9ᑖজoq/r(Jt)>0,/(x)ᙠ0,1Xᓫ⌴/(0)=0,•*-g(x)=|/(x)|=/(x)(Q)=/(1)=1_3Q.............................................................10ᑖঝo4>0q/'(1)=312-3.=3(1+-)(126)

59i.o21,ᓽoNlqg(x)=|/(x)|=-/(x),-f(x)ᙠ0,1Xᓫ⌴:q/ভ=_/(l)=3a—1..................................................................................................12ᑖii.o0ீ<1,ᓽ0<஺<1qg(x)=|/(x)ᙠ0,¡?Xᓫ⌴ᙠ6,1Xᓫ⌴.1°o/(1)=1-3440ᓽqg(x)=|/(x)|=—/(x)ᙠo,GXᓫ⌴ᙠ6,1Xᓫ⌴ᦑF(a)=_f1&)=2a&...................................................14ᑖ20o/(1)=123஺>0ᓽ0<஺/প=1-3aᓽ;

60;(1)ᵫ|2|%I=2<|Å_2IPḄÇÈE-F|ஹF2ᯖḄVWÊᵫ஺=2,2஺=2,/=3,ᦑÇÈEḄ°Ë——1=1(x21)........4ᑖ(2)o/ḄÎ᳛Ðᙠq°Ë^=+&-2),஺(Ò,),஺(¸2Ó2)CVW°ËὶÕ`y*(A223)(24+2%+4+2+3=0,k2-3^0A>04᮱>0;**>35ᑖ122k-34+2+3x.-x=-Z->-0--2+22_3(i),/MP-MQ=(x-m)(x-m)+yy12}2-(X|-/M)(x-7M)+A2(X]-2)(ᑐ2-2)2=(k2+l)x,x-(2k2+w)(X1+x)+m2+4k222(å+1)(4/+3)æç1è+éé23-(4w+5U22------------+m.7ᑖ%2—3•••MP±MQ,:.MPMQ=Q,ᦑ*3(12)++2(ë2-4ë-5)=0Ḅk2>3ឤᡂÕ,1-w2=0;*--1.m2-4/n-5=0,oᑗ=21qMPLMQ.o/ḄÎ᳛Ðᙠqᵫ஺(2,3),஺(2,-3)î஻(-1,0)ïðñᡂÕ,¤Xoò=21qMPLMQ......................................8ᑖ(ii)•.•஺=1,஺=2,.X=LVWḄõ......................9ᑖ2÷VWø*2²é᪷Ḅú°ᑗ=¸0Ḅ°¹2

611\PQ\7T+F|X-X,IJi+%2|"-X|iVT+Fir—r22\AB\2|%|2|Zr(x-x,)|2\k\2Vk22•••Mு3,.0<<ᦑ[&'PQḄ?)@A9,ᵫI&'PQJKL'MNᨵ0).......1ᑖ(1)x,--l,x-2ijᦪ/(x)ḄlP᩽nR21)=0,/'(2)=0..............................................2ᑖ3a-2b-a2=0,\2a+4b-a2=0,fp"6,6=-9..................3ᑖ/(X)=6x3—9x2—36x..........................................4ᑖ^2c:sஹX2ie0ilP᩽nR/'uc=/'^v2c=஺.*.xi>yi:z3ax~+2bx—a~=0Ḅl᪷.VA=4Z>2+\2a,~ᑗa>0,ឤᡂ.

62Q>0,Xj-x<0.2•*•1x\I+Ix2l=lX1-x2l=-4(-y)=+...................6ᑖᵫ|X||+21=2p^+1=2":.b2=3a2(6-a).......................7ᑖvh2>0,3<72(6-(7)>0,00.•(0ᙠ(0,4)ᑁijᦪ;40,x-x<0,12121g(x)u—[(x-x)-(x-x--)]2=—(x-x+-)2.122]a1Xj-x=§,2=஺,'.Xi=§23a11,1.•1g(x)u].(Q+§+§)-=Q(3Q+2)..........................16ᑖ;<=,FஹX2i:z/'W=0Ḅl᪷f\x)=3a(x-Xj)(x-x).12ᑖ2a1,/Xj-x=-y,x=a,/.x=--22x

63''-Ig(x)|=|3a(x+x-a)-a(x+)|.=|a(x+13(x-a)-l]|x\2,ᓻi),ᓻ2),Ḅ3),……HaJ,2n+4Ḅ¡Ad,ᑣ2n+4=2+(n+2—l)d=>d=2,..................(2ᑖ).•../'(%)=2+(஻+1-l)d=2+஻d=2஻+2nloga=2஻+2on^4ᑖc(2)••b=%•"4)=.1°g“/஻+2=(2஻+2)/+2nS“=4஺4+6஺6+...+2஻•a2n+(2/7+l)a2n+2crS=¦+6/+…+(2஻-2)-a2"+2n-a2n+2+(2஻+2)a2n+4n(1_/)s“=4/+2¨6+…+2n2]_(2஻+2)q2"+4,aw],a+2a"I—)2a4-(2n+2)a,2஻+404i2n•.s.+⊤[ª+…+᫵,…(8ᑖ)1-a2■^4ߟ<1,0<<7<1=>2a4+“2-1=(2/-1)(4+1)<0,\-aᔊᦑ2஺—-1<0,fp,00,\-a°2஻4”+42/1”2”~~r(-~r+1—a)……(11ᑖ)1஺\-a1-a<—]^+\-a2n……(12ᑖ)<—^+1……(13ᑖ)<3+1=3(14ᑖ)\+al-a-249.f=(I)|PF|=2|PF|,|PF||-|PF|=2a{]PF|=4a,\PF|=2aX22t2•••PF௃1PF{.(4a)2+(2a)2=(2c)2:.e=M222(II)E:J-J=1¯'Ay=±2x>ᱏu,2ᓛ),P,u,-2x),P(x,y)2a4a~

64—"—*279—-—>ߟ0Pஹ-OP=-3XJX=--XjX=—,\*2PPஹ+PP=02222...%_2µ+%2¶__2(2X1^2·ᐭ£«ᓄ»¼2=—a2..a2=2338/_128(III)Ꮇ>ᙠx¾,ᙠ¿RG(f,0)ÂÃ(l-/lÄ)>/=8=ᑜ+Æ,஻(Ç,È),"*4%)ὶ/JḄ:zp-8kmÊஹ%+Ë<Ì7প(4%2-Dy?+8ÏÐ+4ᖆ28=0ᦑIf.4m2-8.oÒ<^TফGM-GN-(x-/-AX+:,/_Ó4)Ô௃22=(2^10,0)34F\FV(GM-AGN)2—t—+Ö7—0Ï(¶3—)+(1—4)%+(A—1)/—0(3)ᵫMQ-AQN{.y+2y-0.'.y--2y(4)3434(3)ᓽA2@3+(1—ಘÆ+0l)/=0(5),Û(4)·ᐭ(1)(2)m2-22ᨵA=(2-1)■_^·ᐭ(5)p/=*2kmm2---k---*—-ᦑᙠx¾,ᙠ¿RG(,0)Âὡᐭ_L(GM-aGN)஺m50.f=(I)ßA/'(x)=3ax2+6x-6a,ᡠ/'(-1)=0ᓽ3a—6-6஺=0,ᡠᱏ2.(H)ßA&'mឤCR(0,9).ᐜâ&'ãiäg(x)Ḅᑗ'.>ᑗRA(x(),3x=+6X()+12),ßAg'(xo)=6x()+6.ᡠᑗ':zAy-(3x=+6xo+12)=(6x()+6)(x-X஺),ÛR(0,9)·ᐭpx0=±l.åx0=-l.ᑗ':zAÔ9,åæ=1.ᑗ':zAÔ12x+9.ᵫf(x)=0p6v2+6x+12=0,ᓽᨵx=-l,x=2åx=-l.ஹ=/஺)Ḅᑗ'ç=—18,åx=2.y=/(x)Ḅᑗ':zAy=9;.y=9iᑗ'ᵫ//(x)=12p6/+6x+12=12,x=0ᡈx=l,åx=0.y=/(x)Ḅᑗ'A¶=12x-ll,åx=l.y=/(x)Ḅᑗ'A᜛=12x—10,y=12x+9,+iᑗ'

657ᡠê4=0.^=9ilL'Ḅᑗ'(III).(1)fcc+9h(x)=¤2x+3x+12-----=-2(x—)~H-------------Gx48x310570å—2Wx<0.—2(x—)2+*2Ajᦪ<ôAjᦪ2)=848x⌕Â/(%)4ö+9ᙠ—24%<0ឤᡂᑣÏ<8ᵫêCz÷⌕ὃ⇋0Wæ48,ᑣåxு0.(x)=-6x2+16x+12=-6(x+l)(x-2).•.ᙠxe(0,2].r(x)>0,ᙠ(2,+8).¥(x)<0/(x)ᙠx=2.ᨵ᩽ᜧnᓽ/(%)ᙠ(0,+oo)Ḅᨬᜧn/(2)=9,ᓽ/(x)W9Äåxு0,420.ú+9>9,/(x)=2ឤᡂ8"(2)=2.............4ᑖ4஺+2b+c=21ஹf(2)*.*<4஺+c=2b=1,:.b=—,c=\—4t7.......2ᑖ4a-26+c=02/(X)NXឤᡂᓽd2+(b-l)x+c20ឤᡂ.஻>(),=(—4a(l-4a)<0,.............2ᑖ…1,11a=—,b=—,c=822f(x)^-x2+-x+-.............2ᑖ822(3)ᵫᑖ᪆ᩩ⍝⌕/(x)(ᙠy"#$)%ᙠ&'y=+()ᓽ

66*+,-&'Ḅ/᳛123&'4ᱥ'6ᑗḄ/᳛893-:21y=-X28ᑭᵨ6ᑗ=(),m—\-\.............................4ᑖ2m€(-oo,l+—)................2ᑖ11m11?2g(x)=-x2+(--------)x+—>—ᙠxe[0,+oo)@Aឤᡂ82224ᓽX2+4(l-m)x+2>0ᙠXe[0,+8)ឤᡂ1¦§¨§1+kজ<(),ᓽ[4(l-m)]2-8<0,D:2ᑖ22A>0ঝ2(1—"?)«0m<\~—................2ᑖஹ/(0)=2>02/1V2%HmG(8,1H—^ߟ)52.IJ(1)@⌕ឋLbnMNOᦪᑡR✌⚗b1,UOdI,7w(n-l)V,n-\.nilᑣ஺“=(஻4+ஹd)=©n227a-a=-,.••[%]M-UOM^ḄNOᦪᑡ……4ᑖn+xn22ᐙᑖឋL[`]MNOᦪᑡR✌⚗বUOdᑣA+62H------\-b=n[a+(஻-Y)d]=dn~+(q-d)nn]h+&+…+b_=d(n-l)2+(q-d)(n-1)(H>2)n/.b=2dn4-(/_2d)(஻>2)nbn=lb[=஻i+〉ᔠbn+|-bn=2d,bn-UOM2dḄNOᦪᑡ........4ᑖ(2)ef-dMNOᦪᑡḄᐙ⌕ᩩ-[g]MNOᦪᑡhbn=bn+|ᐸj஺2(n=l,2,3…)................4ᑖ53(k2⚪mᑖ12ᑖ)

67প$3=5,ᓽr3sᵬ2v1x....................................1ᑖᵫyᵬzḄᭆ᳛M|,xḄᭆ᳛M}~Ḅᭆ᳛M|....................2ᑖ263DS3=5Dᭆ᳛M=5..................................5ᑖII=7J=4,5,hᨬsᵬz...............................6ᑖPg=4=CJ2=................................8ᑖ62216PR=5=Cdi3d+ᕆ24=(+'=⊵.2623622216122164ḄᑖᑡM445119A.........................1nzy.•16216EJ=4XL+5X-1-=149A16216216-54(k2⚪mᑖ12ᑖ)(I)f=4D>=ᑐ2,{.y'-^x....&'/Ḅ/᳛M*|=2=1ᦑ/Ḅ)My=x—1¡AḄᙶ᪗M(1,0).RM(xj),ᑣ¨=(1,0),BM^(x-2,y),AM^(x-1,y),ᵫ©.r+&|¬=0D(x_2)+y.0+7I.J(x_l)2+y2=0,᦮ᳮD~+y2=i.³´¡”Ḅ¶·CM¸¹¡Mjºᯖ¡ᙠx"(¼"¼M2½"¼M2Ḅ¾ᙊ.II᝞ᵫ⚪Á/'Ḅ/᳛ÂᙠhÃMÄ,R/')MÅ=ÆÇ2Æ஺0জÈজÉᐭ'+=1,᦮ᳮD2(21+1Ê2—8Æ2.x+(8Æ2-2)=0,ᵫ>()D0(Æ2

688kzx.+x=———221+1তRF(X,y),Ëᐭ228r—2'ͳᢚIÏ4=Ð".,ᑣÒ=ᔩ,SAOBFÔÕ-2ᵫÖ*DBE=QBF,2=——h0<×<1./—2-4ᵫঝØ-2)+(x-2)=[+272(□-2)-(X-2)=XX-2(X+X)+4=1^-212121+22_2k2+\ᓽºÚT(1+4)2—8421(1+2)2-2<2D3-272<2<3+2V2.0<4<1,3—<4<1,.♦.OBEAOBF☢ÝHÊḄÞßá-(3-2âI).2£1*+-1〃a相减得55পR4(A,@),5(>2,%)ᑣ<2*+M1F-1%%M@ᓝM=R21h2ᑣÆ•—=——ᓽ/=2/ᦑ/=å-x2+xa2AB42a2222ᵫæç'èéêº᳛ë=+³+2-,a.AI—4|c(2)ᵫ(¾ᙊêº᳛M+.ᦑe=-=0ᑣ஺=38ᡈí2|«-2V2|ba=3î,¾ᙊ)Mï+2=1.189

69ba=ñ¾ᙊ)M+/=1.òÖA/(2,l)ᙠ¾ᙊ᜜.ᦑôõ.ᑣᡠ÷¾ᙊ)Më+ᓃ>=1.189(3)ᵫ⚪R:=—x+3.¾ᙊx2+2/-a2=0y——x+3.D3/12%+18—/=0ᨵ=122—12(18—/)>oᦑx2+2y2-a2=02f|a-2V21<2ᵫফe=|ு1ᓽ4ýᦑ஺Ḅá-a—2yf2H0(V6,25/2)U(272,2+272).ᑣlaḄ(276,472)U(4,4+472).56ஹপ-----=/(஺”)=an+\\--!=4(஻eN*)nᦪᑡ'()*+ᦪᑡ,✌⚗1=10+d=4*/>0a=,1(neN*)........(4ᑖ)n5-3ফᵫQ“=-,=]6“2-8«-374/7-3a,,2=(4஻-3)&|=(4஻+1)7@+(4஻-3)(4஻+1)..•B=(4஻-3)(7@+஻—1)4/7+14/7-3D^bnE*+ᦪᑡ,ᑣ7@-1=0*=ᖗG=1/.hn=8/7—7஻£N*

701বJ4/-322j4஻+l-j4஻-3r—“—______________________________________________"2J4஻-3j4஻-3+J4஻+12S=a+a4--1-a>|(V5-1)+(V9-V5)+…+(J4/+1-j4஻-3)nx2n=-V4w+l-lnwN*...............12ᑖ257ஹপQ!+1-("1)R=a“+2”,a-a=2(/7>2)n+ina1=2,%=S|+2,a—a=2,ᡠW)*+%=2n2x஻.i23nফ9X—2஻r,T=]H—i—2+…4-T222஻TJ12n-in-T=-+—+-■•+H-------2n2222n~[2"஻+2-T,=2-(/7+2)—,T=4-2"Tn58ஹ(I)]P(x,y)aᦪy=/(x)bcdḄefg,hᙠaᦪy=g(x)bcdx,^x+-ḄklgP(x',V),ᑣᵫno0p,=0.......2ᑖ,1X=X——aqᐭaᦪs=/(X)=—QX?-஺w,=x72y'+-=-a(x'-a.2ᑖ2a2a,.11)1yaᦪy=g(x)Ḅ⊤{pEg(x)=—o(x——)-a----.••••1ᑖ2a2a(II)aᦪg(x)Ḅk}Ex=L>0.aiᔊজ0<—ீᓽa>J,aᦪg(x)ᙠ[,2]dEaᦪ,a2

71h[a)=g(V2)=-V22ᑖঝ<—<2ᓽ!------2dG,h{a)-<-a———

72ᙠHfAOMCw,OC=6,஺²=E.,CM=J3+-=—2V42nV3"5ᓛ=:dmVis5F©ªBC|¢BQ¸¹ºgH,ᑣHBCiḄwgb,B¢Ciᑮn☢ACB¾Ḅ¸¿஺$¦ABḄwg@.Bᑮn☢ABQḄ°±Oᑮn☢ABC°±Ḅ2ÂGᑮn☢ABC°±Eᧅ5.........12ᑖ60ஹÅ1ÆSCḄwgR,©Q?,DR.É⚪fPD஻BCPªBC;QR//BCQP=1BC,{.QR//PDQR=PD.{.PQ//DR,¦P02☢SCO,{.PQ//^SCD..............Å6ᑖÆÅ2ÆË©ªSP,vSP1AD,^SCD1[SiABCD,SP1^ABCD.x8Ḅwg”,¬QH,=0,SP,:.QH1.☢4BCD.HG_LPCºG,©஺G,ᵫÎᚖ¬ÐᳮNQGHᓽEᡠÒ(☢¥Ḅn☢¥.^QH=—SP----^-a=--a,2224ᙠAP8Cw,NPBC=90,P5=—a,BC=aPC=¤a.22ÓHG=PH,sinZ.BPC———ax-Õ—=a•tanNQGH=——=—4=—=——,,4772V7HGE2a—®a2-----------------------------2A/7s(☢¯B-PC-஺ḄᜧEarctan—.........Å12ᑖÆÅ2ÆË(WxEᙶ᪗Úg,x4Ex,x3Es,PSEzÜÝÞßà¥ᙶ᪗á,âljSÅ0,0,ãÆ,BÅ0,—a,0Æ,CÅ-஺,ä஺,0Æ,QA0,ya°±■☢P8CḄËᔣæEç=Å0,0,Æ,]5=Åx,y,zÆE☢PQCḄèËᔣæ,

73ééA——ay+——az=0ri'PQ=044n஻=é)Gn-PC=O6n-ax+—ay=O?/ii(☢¥8-x஺-0ḄᜧEarccos----.........(12ᑖ)61.(ê⚪ëᑖ16ᑖ)প:]*+ᦪᑡì)Ḅ0+d,ᑣᵫ+2d=4,3a1+3d=18,=aJ(8,d(2,ᡠW=nad=-YT+9஻.............................2ᑖ]S+S1ᵫ^~y^-S“+]=-[(-«2+9tt)-(«+2)2+9(஻+2)+2(஻+l)2-18(஻+1)]=—ivoC_LC="220,ᓽ4V62VAs,ùúᦪᑡÿḄᨬᜧ⚗=7n+nᡠM27.....................................8ᑖ(3)Ꮇᙠ᦮ᦪk,c*>4+]ᡂ)ᵫᦪᑡ,©Ḅᔜ⚗ᙳ0᦮ᦪ12q>c+1ᓽQ+i-1k+x90-L__2«1~4+”4+2<20*+2-4+|=4+”ᦑ0+24D+]E190-Ck+2ᡠ4+3—2c"21C%+]<2(C—1)—CE+]=%-24q—3i+12

74................JKLM12c0sh2OSt22V12[4lu᝞nᩩpS4T20V,a*=q_1,bsS0,ᦑᦪᑡ,4-4ᦪᑡ….h4ᑖOhHOᵫhIO1E?=-0Ohs1ᦑ஻h“-O=h஻-qO•/1S,=h஻EqOh1+|+,+…+ᑶO1ᡠgs“=h4_qOhs+>…+^"+3ᡠ;s'=h4-qOhl+g+*+…+§-¨1S“=3E0O©4h1E£OE|^«,...h7ᑖOS4>1V1lim—=0,ᦑlimS“=4h஻E4O.h8ᑖOM-»COa""T8hIIIOS¯>…>"h஻22OV1b^b_A2ᑣT=,0,

75ºEᓺ()"¶[+3-³)(s¹,}=E¿Eq)(¶<0,ᡠ”>¶,X[nlu஻>”>…>6”(஻>2)Ḅᨬᜧ᦮ᦪ\].9À஻luÁÂ<0ḄᨬÃ᦮ᦪ.(12ᑖ)²+஻<0=(+(4-a)(1/<0»-——<2H<=>log—~~—0,Óᔠ⌕s2ᑖSdVOV1×8প=஺/+X-1,g(X)ᙠফ+8)ÎÙÚឤÃaÐ1+4஺>0ᦑÛ=l+4aW0ᡈJg(2)W0,aWEEÞ4242a1aḄßàâ(-8,-[”0,+8)6ᑖ4Y—1(2)a=0V,/-(x)=—!-xS0lV/(x)>0,.-./(x)=/(1)=18ᑖminXh1(3)ä~åᎷ0=b>læ(2)lnj~+——>1>Inx+----,9Hb4xn+l——>lnb+-—(çEN*)x”xn+]b..1..1,1ஹ..Inb1_1.ᦑ1=——>lnb+——>Inft+—(Z1Inë+——)>In6+---+—r-(lnZ>+——)>•••xxbxbbx}234>(1+-+^T-+---+—+---)ln/>=—i—ln/),GP—i—InZxlজbb2bn,1.11---1——bbᵫফSð>1V1lnb+1>l,/.!—lnZ)>lbb.11---b[জ\]1ᦑë<1,ᓽEWI,ñᳮ2~EWI,X3ீL…1xWl14ᑖ64.(I)f\x)=3x2+2ax-^bJ⚪cᑣᨵ:o/প41+஽+6=4,,Eᡠ³ᡠ/(%)/E612+9ös/*(1)=03+2஺+6=0b=9

76/'(X)=3X2-12X+9=3(X-1)(X-3),ᵫ/1(X)=02X=1ᡈX=3஺/'(x),/(x)ᙠ÷ø(0,4ÎḄùᓄ0X0(0,1)1(1,3)3(3,4)4/V)+0—0+/(X)0üûᦪ4ýûᦪ0üûᦪ4ᡠûᦪ/(x)=Y—6f+9xᙠ÷ø0,4ÎḄᨬᜧà4,ᨬÃà0஺(II)ᵫûᦪḄrþÿᦪs>0,ᦑ᩽(3,0)ᙠs,1ᓃ(1)᩽”(1,4)ᙠs,,0

770,0fপ,GH⌕,஺k(2)zᦪ/(x)ᙠ[s,|ᓫ⌴ᑣOvsvfWlᡈ3

7865.((1)a,=2,%=3,%=4(2)=2(q+%+•••+%)জ(n-l)a„=2(a,+a+...+)ঝ2জ(2))஻/+1-(஻-1)q=2஺”ᓽna=(/7+l)a„,¨©="1n+la„஻ᡠ=a“=q…¨!_=1——>2)ᡠ=a,=eNt)qaa_12n-\,2nx11,(3)ᵫ(2))[=+i=-b+b>b>᝞>...>[>0,nnn2Kᡠ=°jᓫ⌴ᦪᑡᦑ⌕²<1(஻³])´◤²4<1¶,ᑣ·K¹ᯠᡂ¼I2ᑣ½=*+"*,—,¾ᡠ=4<±<1ᡠ="<1(஻4])k+12Mx+2)66ஹ(1)zᦪḄÀÁ(—1,+8),/"(x)=2(x+1)———Ix+1x+1ᑖᵫ/'(x)>0)x>0;2ᑖᵫ/'(x)<0)—l

79ফÆ/(x)=2x(x+2)=0,)x=0ᵫ(1)/(X)ᙠ⌴3ᙠ⌴,X+1\_e6ᑖᵫf\——1]=4+2,f(e—1)=/—2,`/—2ு4+2,8ᑖ\eJee{.xel—Le—l,/(x)Ḅᨬᜧe2—2,ᦑ½ுe2—2,5/(x)(᪷ឤᡂ¼.e9ᑖ(3):A/(x)=x2+x+ᓽx+1-21n(l+x)=a.Ëg(x)=x+1-2ln(l+x),ᑣg'(x)=1-----=-——.ᵫg'(x)>0)x>1;ᵫgg(2)>g(l)10ᑖᡠ=_a>1:AÏ(I_3—2In30,0lᡈx<0.……(3ᑖ)...জ(x)Ḅᓫ⌴(0,1),ᓫ⌴3(/,0),.……(4ᑖ)(2)ᑗØḄÙ᳛"=g(0)=_eT|z=-l,ᑗØ:Ay=-x+l....(6ᑖ)ᡠ,Þßàá☢ãS=[3-*-(-x+l)]i£c=(("*+x-\)dx=(-e~x+~x2_x)lI=g—•……(8ᑖ)(3)(£>'(x)=(2x+a)e~x-e~x(x2+ax+a)=e~r[-x2+(2-a)x],...(9ᑖ)Æ6(x)=0,)x=0ᡈx=2-a....(10ᑖ)ᑡ⊤᝞çx(8,0)0(0,2-a)2-a(2—a,+<=°)

80জ'èXé—0+0—জèXé᩽ê/᩽ᜧᵫ⊤জ(x)᩽ᜧ=0>(2-q)=(4-4)e"-2.è12ᑖéë஻ভ=(4-a)ea-2,=(3-a)ea-2>0,஻ভᙠ(-co,2)zᦪ……(13ᑖ)஻(஺)4஻(2)=2<3,ᓽ(4-q)e"2í3,...Cᙠîᦪa,Ö(x)᩽ᜧ3.(14))<=l—e=268ஹ(è1éᵫe=(23a3ᑖéᵫïØ/:x—y+2=0ðᙊ/+/=஻6ᑗ)òóᡠ=|=ô,஺=õV2ᡠ=÷ᙊḄ:A+ᓃ=1.è432ᑖéè2éᵫᩩù|MF2|=|MP|஺ᓽüMᑮÀF2Ḅþÿᑮ4x=-1ḄᵫᱥḄMḄCḄ/=4x஺"8ᑖ%222___2"3%ᵫ"2%,(Q"0,0%o,-4.%,50,ᑁ%ᡠ34=5.%224=""7,8-"ᵫ9.4=o,X3"/+8"%-=%=0.16?@.¥B2,ᓄDB2=-.-............"10ᑖ%.?="+E+32N2V256+32=64"HIJH.?=Eᓽ.=±4NOᡂQ%............"12ᑖ%•-1QS|=᪵>+V=WX+8%2—64:[>64.ᡠ3HM=64,ᓽ%=±8NQS\=8]ᦑ|_|Ḅ`acde.+00%஺

8121_69ஹh:"1%ᵫi(P,—J5,i%ᙠmᙊo©-----1ᑖr•.•s+Ek=0,Mᙠywo@PஹFzḄ{---------2ᑖ-V2+c-0,c-y/2.------3ᑖ.,.ᵫᱏ—62=2,-----4ᑖhজঝh஻=2"஻=—1%.•.஻=4ᦑᡠmᙊCḄ@—+^=E--6ᑖ42"2%WM"x,ᡭ%ᐵy=2xḄ@M"X,%0xAZA-1,=J3X2=JXo-X,------8ᑖhJ5------10ᑖ%+._xo+xiV_3%_4x09yߟ/X--y\~cI22I5/.3x—4==-5x.------------11ᑖ10./2♦:LP"x"%,%ᙠmᙊC:H••--=1o,-2

82(\\)PE-PF=\NE-NP]\NF-NP=(--NP)-{NF-NP)=(-NPJ-NF2=NP~-1---►-------►2¶·¸E-PFḄᨬᜧa»ᓄ@NPḄᨬᜧa....................8ᑖ2¸mᙊ஻oḄ¼,¸(X஺,¾)ᑣᨵ+-+@2=1ᓽ42=2—2@2rN(0,2),ᡠ3᪗2=x2+(y-2)2=-(y-2)2+10...............................10ᑖ000@ᡠ3H᜜=1N᪗2`ᨬᜧa9ᦑ•4Ḅᨬᜧa@8..................................12ᑖ71h(I)ᵫi(OA-OB-(/«,A/3/M)•(w,-y/3n)1ᑖ=-2mn=-\2{.mn=\.............4ᑖ4(II),Pᙶ᪗@(x,j)(x>0),ᵫ4=8+Ã(x,y)=(/M,V5W)+(஻,-G஻)=(m+n,y/3(m-n)).............5ᑖx=m-\-nÄm,nªy=5-஻)x2-^r-=4mn,r?Å஻=28ᑖ34¦PḄ@/Æ=1஺ு0)⊤É3ᙶ᪗Ê@{ËᯖᙠxwoIÍwÎ@2,ᯖ@4ḄÏÐV-Ñ=1ḄÒÓ........9ᑖ(III),/Ḅ@x=R+2,·ᐸÔᐭCḄ3(W+2)2—V=3ᓽ(3/2-l)/+12(y+9=0᧕((3/2-1)#0(ᔲᑣ/ḄØ᳛@ÚÛÜÝÞßàáᔠ⚪ä)rå=144/2-36(30-1)=36(«+1)>0

83,”"ç,=%,"஽,.%ᑣ=+%=é^=%=ê1,//ÛCḄsëìí;NᙠywḄÒïð஽="%+2%"ñ+2%=/2%ò2+2/"=+B2%+4—+2/ᾓ+43/+4>03/13/—1ô0,ᓽ0"ôWrᵫõ+஽ö0¢ᳮª0ô/ôW.......11ᑖᵫÅ£=3Ậ"2-%,.%=3"2-ù%2%Æúெ.=3y2ᵫ,+ஹ2=-3%+8=2%=_3yW]B2=3/?[]ᵫþ.="-3%2=-3y2=ÿ"=ᐜ===0/13ᑖᦑᡠ/!ᙠᐸ$%&5/(^2+=0ᡈ-/(+'-26=014ᑖ72.

8422.6⚪8⌕ὃ;<ᦪ>$%ஹ@ABḄD6EF⌕GHIᑭᵨ<ᦪḄ$LMNᦪḄOPឋ>ᨬST⚪UVᔠᳮḄ⌶Z᪀⌼NᦪḄ$L]^@AB.ᑖ14ᑖ.:(1)/,(x)=x+-,g/(x)=a+l,2ᑖx//(x)=~x2+alnx-(a+l)x,,:஻x),g(x)ᙠab12cd&ᓫPNᦪfghḄᓫPឋij,=VxelUJ,/.(a+l)(a+x2)^O,..............4ᑖxV-x2-1,/.a<,-x2a>-1(aw-1),l(Y)…=T,ᡈ஺>1.......................................6ᑖ(2)•.WSMx+g-S+lKxZ_(a+Dx+J஺q1*qr0=s]ᡈx=a,XXXlX?-(4+1u+஺=0ᨵw@Ax᪷0:ஹ0a<஺,y3e(l,e]»a=1,>0=ae(l,e],...........................................8ᑖqzxw[a,/?]{H'(x)40,.H(x)ᙠ[a,AJcᓫP⌴}qHQ=~᝞ᑣḄXiX2Wூa,IH(xJ-H(X2)K77(1)-"(0=g-(a+l)]-[1a2+alna-a(a+1)]=~a2-alna--,.............................10ᑖ22r(a)=—a2-alna--,ᑣt\a)=a-1-InaG•zaw(l,e]{r*(a)=l-->0,q«a)ᙠ(l,e]ᓫP⌴...............12ᑖa:.t\a)>f(l)=0,ᙠQ,e]ᓫP⌴«a)4«e)=e2-e-=e(g-l)<-1)-=1,@AB|H(x)-H(X)|<1Ḅxe[a,/3]ᡂ..........14ᑖt2Xl1273(I)z0

85=6-0+4“2=2(3>2a)(…)=6(>7)(…).………5ᑖ(1)z20,¼{g(a)ᙠ(6)c·Nᦪno<->\3777IIg(a)<—I—I—b=—b.—640,62.জ..............2712J22212ᑖ3Â3(2)z{g'(a)=8a—5>0,¼{g(a)ᙠ1,3c·Nᦪg(a)ḄᨬᜧS·g(3)=23-b..•.23—640,b>23..........ঝ....................13ᑖᵫজஹঝ¸ᦪ6ḄÆSÈ·6223.....................14ᑖ2274(I)Éᙊ஺Ḅ$%&j+Â=l(a>6>0),ᑣ/஻=i……জ……1/b2ᑖ•••z/ᚖ¹xÌ{A,BwÍᙶ᪗ᑖз(1,—)>(L—ᓃ)

86OA-OB-1,•1,———Ó=1——r-,!JI—=ᓽ......ঝ…3ᑖaaa'a"6ᵫজঝ஺6/62-1=0=1ᡈ஻=JÖÓ.23,1,32x2-1z/=c{«2=-.ؼÉᙊ஺Ḅ$%&Ù+2/=].....................2235ᑖIIÓ!ᙠᩩÚḄ/.1Óz/ᚖ¹xÌ{ÛIÓḄÜÝE»3=H=ᯖÍEᑮâãḄä21º5d=g--c=~,¼{@]=å2]/ᵨ.c2211ؼz/ᚖ¹xÌ{@ᩩÚ.......................7ᑖ2Óz/@ᚖ¹xÌ{/Ḅç᳛&éᑣ/Ḅ$%&᜛=4x—1Ó.y=k(x-1),ᵫ<2^2=>(6é2+2)x?—+6ë*-3=0,—+2/í1I3'48wÍḄᙶ᪗ᑖÐ&a,îÓ>ï,%Ó,ᑣXI+X2=ߟ2——X,X=-2---23k+16k+2\AB\=V1+k2\x-x|=yj(l+k2)[(x+x)2-4XJX]]2]226k2IQ]lH+1)9ᑖ3k2+\3k2+1x+x_3k2l2lZBḄõÍ&M,ᑣF--3r+1zA4BP&xúûü{MPḄç᳛&ᓃᓽ=-'.k3(é2+1)2(3é2+1)..................11ᑖ3ý&xúûü{|ᓽþÿᓽ..ឌ2=1,=±1.13ᑖ

87ᩩḄ/ᙠ/Ḅ!"#x-y-l=Oᡈx+y-l=O.……14ᑖ171175%([).)*()1)஻--------•)+(-l)w=(-2)[——+(—I)”]],34an-ian%-1ᑖ.•••-!-+(—1)=3,ᦪᑡ<4-+(—1)"(6✌⚗#3,9:#)2Ḅ;:ᦪᑡ.……5ᑖa\MJ}+(-1)"=3(-2<ᓽ=............6ᑖ(II)b=(3-2"T+1)2=94"T+6-2"~'+1.n9ᑖIII)sin(2"D%ಔ>__1.............................I஺ᑖ3(—2)i—(—1)"3-2n-1+l1111A஻23Bᑣ7D-------1------------1-------------1-----1---------------3+13-2+13-22+13-2'-'+111111_11^[l-(|r2]<--1---1-----H----rH------=---1-------;---473-223-2332-2811l,Jஹ஺11147484=-----1---[r1-())1<-----1---=----<---=—.2862286848474•:7\.•.FGHḄ஻eN*,Tn<~-.................................14ᑖ76ஹ(1)f'(x)={ax+2)(x-1),/(0)=--,/'(0)=-2aᡠJᑗ!"#2X+N+3=0aMa)=o2Lljx=——,x=la27AQ<-2B./G)ᙠ(-8,--)N(1,+8)OᓫQ⌴S,ᙠ(-),1)OᓫQ⌴TaaAQ=-2B/(x)<0J(x)ᙠ&OSVᦪ

8829A-2஺0B/বᙠ(-0,1)N(——,+oo)OᓫQ⌴S,ᙠ(1,ߟߟ)OᓫQ⌴Taa(3)AQ>0B,X32_2(*,1)1(—,—)(L+00)aaaa+0-0+f\x)T᩽ᜧZS᩽[ZT/(X)3•.•/(——)ு0Jপ<0a.•./প=4e"#ᨬ[Zaj3-3,+oo]ឤᡂaaaa)?.<7G(0,ln3]x—277^(1)a=2B/(x)=------,Inxxlnx-x+21f(x)=--------------/(2)=F2ᑖxlnxIn2./ফ=0ᡠJᑗ!"#y=—L(x-2)2ᑖIn2(2)1°A0Vxo<7>x-yfxlnxInx2A/X-2-Inxeg(x)=x-VxInx,g'(x)2^/xfeA(x)=2y/x-2-lnx,஻'(x)=~^=--=—ߟ-<0JxXXA0cx<1Bh\x)<0,h(x)ᙠ(0,1)O⌴S,,A0//(1)=0,•••g'(x)=g>oᡠJg(x)ᙠ(0,1)O⌴Tg(x)lBlnx>0,ᑣ——->y[x<=>a<7

89ᵫ1°jAX>1B"(x)ு0,஻(x)ᙠ(1,+8)O⌴TAx>lB/z(x)>/z(l)=0,ggপ=1<7<1;.................5ᑖᵫ1°u2஺%4=1................1ᑖ78ஹ%(I)x⚪Hj%/6Vᦪ/(x)=lnxᙠ{(1,0)ᜐḄᑗᦑᐸ᳛=/(i)=!=iᡠJ/Ḅ!"#=x—1“119.#/g(x)ḄᑗᡠJᵫ<1,=>-X2+(W-1)X+-=07y=-x+/77X+—22r22=()1)2-9=0ு=2(=4ᔠ⚪H)(II)#A(x)=/(x+l)-g(x)=ln(x+1)-x+2(x>-1),ᡠJ1—xh\x)=---1=--x+1x+1AT0;Ax>0B»(x)<0A(x)ᙠ(-1,0)OᓫQ⌴T,ᙠ(0,+஺஺)OᓫQ⌴S஺Ax=0B஻(x)ᨬᜧZ(0)=2(III)A0<6(஺B)ᵫ(II)j%A)l>/=7(^1-I)2+4x=|X|+11,.................1ᑖ1ᵫ4|N"|=5|/ᵨ4gk2=5,3=±?..................2ᑖ4*%¥A{ᑮ§¨©#d,/Ḅ«¬#a,ᵫᱥḄ¯°j|4W|=Dd,................2ᑖcosa=±-----=±—,\AM\5

903/.k=tana=±—...............3ᑖ4(2)஺(X஺,²)A(x,y),B(x,y)tt22f³2=4xᵫ)ᡭ2-4y+44=0,1ᑖெ<(x+1)wo✌ᐜᵫ)1ீ<1%H016—169>0,V஺)¾y஺)¾44kQA=---------=-2----T=----------¿ᳮÁ=........2ᑖx஺—X]yyyo_(■y\y()+yz0}4-444ᵫ஺/_LQ8----------------=-1,..................2ᑖ2ᓽ%#+²(Å+%)+¾Æ=T624y~+7%+20=0................2ᑖ0K=(2)2)8020,)ÇWkwgÉ0,ᵫ)1<%<1*0,ÊḄZÌ#L)5O,0JUI0,—d.................3ᑖ80.᪆%(1)ÏᙊÑP(x,y)#ÏᙊP¯ÓFᑁᑗᑣ8^"+'=_+`aÖxᑣ=X+1=>V=4x,Ö×<~2»ᑣ=-x-3ny=8(x+D.bX<-cd.ᦑÏᙊÑPḄØÙ6JF#ᯖ{*=-1#§Ḅᱥᐸ!"#%y=4e……4ᑖ

91Þ:>à+á3(2)জAmḄ᳛ᙠᵫ4âJ஺./ᑣ*1+ä=2+71f=1"■◍=◍+▰ç⚶+1+é+1=4+/ê|BC|=ZÖ1=31ᑣ"‘ì)”îBᙠ஺……8ᑖAmḄ᳛ᙠBᑣ1=4.|B=2,ïᯠñ=2|8஺ᡂa.ᦑᙠmòñ=1ᡂa.Bm:"%……9ᑖঝAmḄ᳛ᙠBᵫজôõ[ಗ)÷)■øç1)=♦.ù=1AmḄ᳛ᙠBúû|=ü?|-1ý-1)=(2-D(2-D=LᦑFþGHḄm,ᑄ“m1=1.……13ᑖ81পᵫ⚪a=l,b=0,/./(X)=X2+2X......2'ᦪy=f(x)#$%Ḅ'()0*+%)ᐵ./)Ḅ01)P(x,y),ᑣ/=-x,y=-y,..............4ᑖ06)஺(%,%)ᙠy=/(x)Ḅ#9%+-y=x2-2x,{.y=-x2+x,{.g(x)=-x2+2x....7'

92(2)F(x)=—x2+2x—4(x~+2x)=—(l+a)%?+2(1—Fxx••F(x)ᙠ(-1<%=>I?@A+()=-2(1+/1)+2(1-4)20ឤᡂD……9ᑖ1-7ᓽ2FஹHᙠI-1,1%ឤᡂDGᵫJ(1ᙠI(1,“%Kᦪ,LX=1MNᨬP0,ᦑ240,ᡠS2ḄNU=(fo,0].........14,V:•.•YZᙠ%=>ᦪ+[.F(x)=(—2—2/L)x+(2-24)ᙠ[ߟ1,1]%^_[(-2-22)+(2-22)>0:.Lvஹ/ஹ/ஹ+`a<0(-2-2a)(-1)+(2-2c)>082(1)ᵫeᦪ஺.....10ᑖp•.•/4=[+ᡠlLnN2M/Ino2I+.........12ᑖ

93p=/ফ=/(3)=0,13ᑖᡠlrsᙠ3t/u14ᑖ83.wP⚪ὃyzgᦪᑡ|⚗~n⚗ᐵlᦪᑡ~rzᔠḄᨵᐵ⚪஺(1)2M,a=S-S_.......(1ᑖ)nnnx2s2^,-^->=^7+A(S,-S,i)(2S,,-l)=2S[GTS,M_S,=2S,,S-.........(3ᑖ){.-------=2(஻22),...........(5ᑖ)ᦪᑡ(=l8=1✌⚗+l2fgḄzgᦪᑡ஺(6ᑖ)(2)ᵫ(1)—=1+(஻—l)x2=2஻-1,S-----,S,-----S“"2M-1n+12஻+1(7ᑖ)"P(1+SJ(1+S2)…(1+S•)F(»+l)(1+S)V2^Mfl+1¢f(஻)=--------/-------G£II------=-----+(”----<2/7+1/(஻)<2/7+32M+2k"?+8஻+4,…kஹ=.==J—-------->1.........(10ᑖ)J(2஻+1)(2஻+3)V4n2+8/7+3.♦.+(஻)ᙠᑐGN*%⌴>,⌕t¬(஻)2nឤᡂD,◤F¯("IminN᝕=/প=|³+..•o<%w|73,.-.^=|V3............(12maxᑖ)84.wP⚪ὃy¶ᙊ¸ᓫº»ឋ½ஹ¾¿~¶ᙊḄÀÁᐵᔣÃÄḄÅᵨ+2c=|È|=2,(1)ᵫ.ὡ᜜=2NE”|ᱏY21=2+——1=|NF\=1,ica2=b'+c2.

94Q-=2Î2`1,+ÏÈᡠS¶ᙊḄÐÑ(+y2=1............I3ᑖo/=12.•NA=ANB,.•.48,NÒ)ᐳ¿+È)NḄᙶ᪗I-2,0o.¾¿ABḄÐÑy=+2o,ᐸØ4¾¿ABḄÙ᳛+ÛᩩÝ20.y=k(x+2),2,àáx`ây-2Y+2/2r+124°kᵫÞx2,ᓽ—o-y——v+2=o.—+V=1kk1æ12'42Z:2+1z2oí=(L.1L°'᪷èᩩÝé!`0Þ|n|ீð.I5ᑖ?nw0.4k/ñ+òo,5I%2+%o+ᑣ᪷èóôᳮ,`ö2k2ò2n2+1pᵫ▬=/lNB,`(/+2,ø)=4(X2+2,%)4kI1+ºoX]+2=+2),2k2+1àáò`&þ8_ÏÈÞA2k2+1J1=úû=ü10(2)="e£,ᑣ"ভ=஺+J+2=1—4=/tJ3/tAAᵫᡠ஺'!71#$0...஺!/1#&'(,)*+Ḅ-.ᦪ,01஺!)#$“!ಘ$ᓽg$஺!6$y8$—,,3$q$<=4|?'2,32:2+1532/+15621஺$:$2•.BQL2621CDEFABḄI᳛ḄKLN&!7ᑖ#

95!3#+PQᙊḄSTUyVW=y=!8ᑖ#Y

96Y0=[5Vxv—lᡈx>3,ill/,(x)<0,=[1cx<0ᡈ0

97µ0(X)V=“(X)=---.x2஺'(x)=0,=x=2,Çx>2È,஺'(µ<0;Ç0<*<2È(f)\x)>0...ÇX=2È஺(x)K=ᨬᜧL஺(x)max=0(2)=ln2-LgÇxÌ▲ÎÏ0ÈInxÌ▲ÎÏ-8,-Ì▲ÎÏ0,2Ð1ᨵ஺(x)=lnx-gxÌ▲ÎÏ[8.CD.ᦪ°(x)=lnx—)xḄL³&(-co,In2-1]ᓽÄᦪmḄKLN&(—8,In2—1]...........(9ᑖ)[

9832gᵫ(1)WÇx>0È/(x)=/(x)=ln(3+1)+j>0inin3232••/(x)=ln(x+—)+----=ln(ü2+—)+[>஺112X,>02x2cᵫk>0,W=g(X])=lnx)>0,g(x)=lnx>0=>x,>l,x>1.222ᵫ᳝¸þ2,ᡠèÿ1<᳝1<ᓛex2,AB<1.Inx232ஹDᵫ2ln(l+——)+—34(1,+8)7Ḅឤ:E<ᦪ>1------R-STU(*)VW1X31+3)+2lnxi]nx22XX22Y஺[\]^ᩩ`Ḅ:ᦪkbcᙠ................(14ᑖ)86ஹ(I)gh/jklx=0+4,nᐭJ?=2pxr2-2s-8P=0u(I,v),஺஺2%),ᑣᨵv+y=2kp,y,y=-Sp22yz{=0,

99ᦑ0=I஽+yy=~+4~+4?-8p=k2yy+4~v+y+16-8pt2x22ᓽ0=-82P+8᮱p+i6—8p,p=2,ᯖ/~1,0.~HRAx,y?,ᵫ+y=~ᓰ-1,v+~%-1,=~x-l,yᡠXi+x=x+1,y+y=y2t2y2==4/-8=~+~-l=4~⚗-2FRḄᙶ᪗lA/~£±1Z,22yH4ᑭᵨkpQ=v”ᨵ3=2k5=—7—yxi-x2£±1-42᦮ᳮy2=4x-28.l=஽RḄᙶ᪗l~7,0,]^/=4X—28.ᡠy2=4X-28ᓽlRḄ¡jk.87ஹ¢᪆¤~1ᵫ⚪¦§4-,=⊈-1>=6,¢“=VI,b=c=lᙊḄjklᐲ+°=1±2~2ᵫ~1²~1,0,ᡠ஺ீ´<1.Ꮇcᙠ]^⚪¦Ḅgh/,/Ḅjkl2y^kAx-l?,nᐭB+/=],~2¶+1*2-·2+2¶-2=~,24¸v¹~F,ºm2^-2জ..+½+2=⃬'22k2+i1-2A2+12k~+1——*42-2k:.CA+CB^{x-OT,J/,+~X-´,ஹ2=~2.2+]_2´2.2+][2•/~B+ᙠJ■᪗yABḄjᔣᔣÅl~ᐳ4k~—2k,,7/.——z-----2mH--------x4=0<=>~1—2m?k~=m2k2-I2k2+1.•.0<´<±"=ÊËBᓽcᙠT᪵Ḅgh/±74ᑗ41bcᙠᓽbcᙠT᪵ḄghI2

100X22v88ஹ¢¤1Î⚪¦ᙊjklB+B=1஺ு6ு~ᑣᐸÑᯖᙶ᪗lahF(c,0),c=a2—b2,........Òᑖᵫ|E5|=2,J(c-Ó2+(()—Ó2=2,ᓽ(c—J^>+2=4,¢஺=2Ô஺........3ᑖ,,,xy.D•:b=2,{./=஺2+/>2=12,ᓽᙊjklÕ■+:=1஺……4ᑖ~2ᵫM"|=|4V|§4ᙠh×ØNḄᚖgÚᑖh7,y=kx-2ᵫ2ÛÜÝ+3Þ-2>=12y1124ᓽ~1+3//-ß2à=0~*........6ᑖᵫ஺0,jk~*Ḅá=~-127>=144¶ு0,ᓽjk~*ᨵâãbäåḄæᦪ᪷஺.............7ᑖèஹNX,y?,h×MMḄux0,l2212k%1+x_6k2éijX)+x2l+3k221+3326k2—2(1+32)-2'ᓽê=kx0—2—1+329ᑖ1+3-21+3¶•n஺...gh"Ḅë᳛l21±ᘽB=**1................I஺ᑖ1+3¶ᵫZPJ.MV,-2—2(1+3.)xk=-l,...........................11ᑖ6k2+2+62=6,¢¤k-+——ᓽtana=±——......12ᑖ33Dᦑa=—,ᡈa=——66

101TT*>7Tcᙠgh/]^⚪¦ᐸïëð஺=Oᡈ஺=O஺..........13ᑖ6689ஹ¢:~Iᨵ5*+1-S*᧕Hᵫ᜜+i+a*=4%+2a*+ó~2%+2=-a*-2%=…=-1"ô-2DḄ=2ᡠ᜜=2nIIIv%+D=...=”+8▀+3<1/«4/+8஻+490>¢¤~Iᵫø§q=஺-I,4=4,q=2஺D4+6=2%B~Q—1+2Q=8,ᓽQ=3......................................2ᑖ♦.q=2,?ÁÂÃ.d=a?-q=2ᵫSk=k%+'±Td,.....................~4ᑖ2+","7/X2=25502ᓽF+—2550=0.¢=50ᡈ=-51ùÜ..•.a=3,=50.……6ᑖ11ᵫ5,B஻4+஻~஻_1",S“=2஻+",”-1/X2=஻2+஻.……~8ᑖ22.•.”='=஻+1……~9ᑖ.•.{"}3åüᦪᑡ.ᑣ4+&+41+…+di=~3+1+7+1+11+1+…+4஻-1+1=.........................11ᑖ.,+4+4]+…+64.-1=2஻2+2஻.............................12ᑖ91.¢¤~1þa=b=lÿ/1=02ᑖ/প=0=2+,ফ..=5ᑖ2/2-"=/212"=2-"2+2~/2-,

1024=2"/(2-")Ab=b,,_-2-',9ᑖn1ᦪᑡ!"#$%<1=-3)=2/(*)=-*Ḅ,%ᦪᑡ12ᑖ-.=4+(஻-1)[-£)♦•"஻=-3"(2")=414ᑖ92.56(1)ᐙᑖឋ69/+/=0.\a=b=0-/(x)=MRABCḄxeREᨵ/(-x)+/(x)=0•••/(X).᜻IᦪᦑᐙᑖឋᡂL.2ᑖM⌕ឋ69/(x).᜻IᦪᑣABCḄxeREᨵ/(-x)+/(%)=0ឤᡂLᓽ-x|-x-c^+h+x|x-T+b=0x=0,b=0*x=a,a=0»a2+Z>2=06ᑖ(2)ᵫb<2/-3<0,Zx=0[஺]BC^ᦪ_,`ឤᡂLZ0gmax(x)=gপ=1+610ᑖXMx)=N-g,ᑣ஻(X)ᙠ(0,oJhᓫj⌴qs+8)ᓫj⌴l10ZbV-1["(X)=X-2ᙠ0VxW1hᓫj⌴qXao/.1+6a2z.x2+(a-3)x-3a>0,.'(x—3)(x+i)>0AXE[1,2]ឤᡂL,x-BcOឤᡂL/.x+acOAXE[1,2]ឤᡂL1.QC-X,X-XG[-2,-1],:.a<-2.

1032ᵫ/=᜛-32-4஽234206-1<6Z<3,_a=pᑣq,ា.᪷ᵫᳮ:জp+q+r=3,qr=a?-3a,222.,.ঝp2+g2+/=Q2+(g+஻)2-2^=a+(3-<7)-2(a-3a)=9ঞ{p3+q3+/=஺3+(᜛3+/)=/+(^+஻)[᜛2+=3a3-9a2+27.8(0=3/9/+27,6g(a)=9a2-lSa=9a(a-2)Z4£[2,3][g(a)>O,g(a)⌴l;Zac[0,2][g(q)<0,g(4)⌴q*Za£1,0][g(a)>0,g(a)⌴lg(a)ᙠhḄᨬ.min(g(-l),g(2)}=min{15,15)=15(3)H(a)=--[g(a)-27]=--(3«3-9a2),ae(0,1),ᑣ6631Hr(a)=3a--a2=3a(l--a)>0ᙠ(0,1).⌴lIᦪ஻ভe(஻(0),4(1))=(0,1)-*=஻&)=-஺(3%3_%2)O/.%£(0,1)=>஺2£(0,l)A-n%£(0/)A13129•••஺a”=+~a„-a=--o„(a„-2)(4-1)<0,a0,6ு0.ab~r21212ஹ73a-+b-=1,a--1-------ᵫCḄ£¤¥Eh¨ᯖªc=lᨵ6i35IÆi2£__/=1ᡠ#£¤¥EḄ.:V3V3FT

104(2)¬66A|(—c,O),B(0,c),ᵫ{=(3+2®)6஻(OFc),C(gc,°c),22/+/=°?জ£¤¥EḄ.J—=1(஺>01>0),.IJ.23c2a2b2'J—´=1ঝAa~4b~জ¶ᐭঝᓄ¹᦮ᳮ3a***4+6a2b2-b4=Q,{.(-)4-6(-)2-3=0aa5(y=3+2lae?=×=1+(2)2=4+2®.-Ø="£Ù=®+1,ᓽ£¤¥EḄÚÛÚ"aaÜcÝᐵḄßᦪ஺(3)ᎷÏᙠ^ᦪ4,Ðß=%ឤᡂL4(-c,0),CØ,á)c.V3.c+•/t—•A,y22ᨵx=--------------,y=----------FF1+2ãF1+2F(ä"2)12c,FEᙠ£¤¥Ehᦑᨵ2(1+2)2(1+2)å3c2=1ঞ4a24Zr0?(4—2)23c2çট4/(1+4)24/(1+4)2ஹ3c2c~p2—4ᵫঞe2—/=4=%=3y^ঠঠ¶ᐭট-(Á2?Â2_ᒹ•=1,ᓄ¹᦮ᳮ/le?+e?=2/1+14(1+4)24(1+4ᓽÅ=Æᑭᵨফ⚪ḄÊË64=2Ì=ÍÎe+26+2V34ᦑÏᙠ^ᦪ*I=—Ð/=4ECឤᡂL.495.(1)•••/'(%)=Ñ2+2bx+c,ᵫ⚪CÒᦪḄÓÔCÕ/'প=a+28+c=0জ/(Ö)=am1+2bm+c=-a®

105஺0iᐭᵫজc=-a-2b,¶ᐭ஺2-4ac>0/஺)=᝞2+2#+஺=0(*)ᨵð_,^᪷.X”X2ᵫ/'(l)=a+26+c=0᳝=1.(*)Ḅð^᪷ᑣᵫ᪷ÜòᦪḄᐵò᳝+/=᝕,/=-ᐢ1<0<᳝aaZXீX2ᡈX>X[[,/(x)<0,Z/0ᦑIᦪf(X)Ḅ⌴lö÷.[X2,],ø⚪[X2,X|]=[S,5X12bbùú|ST|=|x,-x|=2+—,ᵫ(1)04<1|s-/|Ḅ]ü.[2,4)2aa(3)ᵫ/(x)+஺<0,ᓽa/+26x+஺+c<0ᓽax?+2ö26v0ùúa<0,/+ý-þ>0,᦮ᳮ(2x-2)-9+x2>0xaag(2)=(2x-2).&x2,è#ÿᐵ2Ḅᦪᵫ⚪aaag(-)>00W2<1ឤᡂᦑ(gপ-°ᓽ+2-220X4_]ᡈᨵ_]aa[g(0)>0[x2>0ᵫ⚪Ḅ+oo)c(-a),-V3-l)u[V3-l,+oo),ᦑ&2ᑁ-1,!"#Ḅᨬ%&'6-196.(1)V/(-1)=0,{.h^a+\,ᵫ/'(x)20ឤᡂ*:,=/—4a=(a+l)2—4a=(a-l)2<0,,f(x+l)2(x>0)-./(x)=/+2x+l,.,./(x)=0-(X+l)2(X<0)2ᵫ11*/123=+21+1,..81%3=/%4=+12532+],

106ᵫgxᙠ-2,28ᓫ:ᦪ*;-2142ᡈ<=22,842ᡈ526.22(3)Vf(x)Ꮤᦪ/(—x)=—a).a>0,./(%)ᙠ[0,+8)'Dᦪ,E(x),Fx>0G,-x<0,F(-x)=-f(-x)=-/(x)=-F(x),Fx<0G-x>0,F(-x)=/(-x)=/(x)=-F(x),.(x)᜻ᦪIb(x)ᙠ[0,+o஺)8'DᦪFmn<0,m>nÈÉ,পFKு0,஻<0GᵫK>஻ு0*E(O>F(-n)=-F(n)/.F(w)4-F(n)>0.(P)FK<0,஻>0Gᵫ஻,K>0*/R)>E(K)=S(K)/.F(jn)+F[ri)>0.T8U*/(K)+E(஻)>0.97ஹW;1XPYᙶ᪗'1x,yᑣgx+l)2`aÀ,ᓄc(X+3)2+y2=8,V(x-l)2+y22ᡠefgCḄPh'1x+32+y2=8;12fgCe-3,0'ᙊj2k'lmḄᙊfgC'nopqlm'2J5ḄᙊY1-3,0ᐵrgy=xḄsYḄᙶ᪗'10,-3,ᡠefgC'ḄPh'x2+(y+3)2=8,pᙊḄᙊj(0,-3)ᑮrgy=x+m-3Ḅuvd'd=--(-3)+m0=z7i2+(-i)2<2S.ABO=gxdxIAB|=gXdX2,8-"2=J(8Ê)x^~=V722=1,ᡈ=7,ᡠe=+V2GᡈK=±V14o2298.পW:Xa=2a-n2+3nUᓄ'a஻+i+4(஻+1)?+஻(஻+1)=2(a“+{|ᓝ஻஻)n+lnᓽQ஻+[=2Q஻+X஻2+Qi—.........................................(2ᑖ)

107=—1A=-1ᦑ//—2A=3W(4ᑖ)஻=1஻=0J=2a-n2+3஻Uᓄ'4+]-(஻+1)2+(n+l)=2(a-n2+n)"(5ᑖ)nnq-I2+1^0.............................................................................•(6ᑖ)ᦑᙠ4=7,4=1ᦪᑡ%+2/+”ᦪᑡ……(7ᑖ)ফ;ᵫপa-n2+n=a—I2+1)-2"7a-2"nn1ᦑbn(8ᑖ)+஻2"...14422.bn—2=—7v(9ᑖ)n4/4«2-12»-12»+1222222an>2G,S“=b\+b+/>3+--+^,<1+(y--)+(y-y)+,,,+()22»-12஻+1,225=1+------------<-11ᑖ332஻+136%,ஹ/ஹS,>-----------------(஻22).(஻+1)(2஻+1)F஻=2GS,=4+6,=1+=?.6”12454—>—"1244(஻+1)(2஻+1)|-S45ᦑ஻=2Gᡂ..............................12ᑖ3F“23Gᵫ=-V>——=---Lnn(n+1)nn+1s“=4+&+&+…+>(1_g)+(g_J+(_)+…+1—L)nn4-1YIj=1-=-----GIᵫ2஻+1ு6n+1n+1...s0ு__஻__>______6__஻_____14ᑖ3"n+\(H+l)(2o+1)99ஹW;1I⚪%=9q+10=100ᦑ=10qF“22Ga=9S„+10/=9S,T+10;T=10n+lᦑ'ᦪᑡI=qgi=I஺”1஻£ᑡ*3,\g,a-\ga=(«+1)-«=1ᓽlgq஻ᦪᑡa+in.”111ஹ(II)ᵫ(I)*,T=3(------1-------FAH-----------)"1-22-3஻(஻+l)gill11ஹஹ3=3(1-----1---------HAH------------)=3--------223n஻+1஻+133(III)•••?=3--•F஻=1G7ᨬ%&]஻+1

10831g⚪hᨵ^j^,k2-5l/m-1£ln624ᦑᡠq᦮ᦪlḄstuᔠw0,1,2,3,4,53100ஹ&1I3ᵫyzmq=,24+]=4+஻,b,=a-a-\,b=a-a-\,n+lnn+in+2n+l%+(஻+l)%+஻%-4T..{=4T=22=2=1b”|,+2-4”+1-1%+i-a”-]a„\~an-^2+31•"}~-&w✌⚗~]wḄᦪᑡ.,31,31a3~a2T=_]X*...........-'-a„-a-l-^=--X^,n~ᔜkm&3/^)1313Q“=a4-77-1——ËÌ--------=^+(஻-1)——(1------)=—+A7-2.}஻1211222஻T)T1—(III)^&ᙠ/I=2,ᦪᑡ%+®}}ᦪᑡ.n\*S—(71+^---Q஻=3(--H——H----1——)+(1+2H---b஻)-2஻n3X2^2+^±H-2஻=3(13)+-+Z+3.1122"22"21-----2_2(i__L)3133mG+…+b“=--^ߟ)------1-------"12"122"22W+1,1-2

109ᦪᑡS"+AT,,}ᦪᑡḄᐙ⌕ᩩ}S"+=An+B,AAஹB}ᦪ/^S„+AT=An2+Bn,nc3YT-3/7ஹ“33.rr-3n2.1.S"+4*=^+ߟ--+3+2(--+—)=---+3(1--)(1--)•1—2=0,ᓽ=2ᦪᑡ>+'>wᦪᑡ.2n=&ᙠ4=2,ᦪᑡᓲ+}ᦪᑡ.nᵫ1I3ஹ1II3z/+2b,,=n—2S,+2T="A“+௃3_2"SÍWA-+13-2»-27,+/l7,R9s”+¢=2""=nzl+1nn2nn^3(1^J_)£W31337=஽+,+…+2~~-2_=--(l--)=--^+“12n[122W22H+11—2Sn+^Tn-3+A—233nn2Yl22,,+1.•.2=2ᦪᑡ/"+'>}ᦪᑡ.n2009ÂÃὃᦪÅÆÇÈ⚪É⌱AAA.ூ☘¨©2009ªᦟ¬^®¯°,ᳮ/22.Ë,²³⚪´ᑖ14ᑖ/yzᦪᑡ¶Ḅ·஻⚗¸wS“=2.3"+~¹eR,஻eN"3,I/qᦪᑡ%Ḅº⚗,II/»ᦪᑡ஻´¼=415+᝕7wᦪᑡ¾Ḅ·஻⚗¸¿À3-167b41஻+134+1Ḅᜧ³ÂÃÄÅḄÆÇ.

110ூW᪆௃;1I3ᵫS“=23”+ÐÑ€R,஻wN*:஻22G,4=SÓS,i=4X3"T2ᑖ•••{4}ᦪᑡ=S=6+5=45=2,a“=4x3"T(஻wN*)……4ᑖn-\(II)ᵫ%=4(5+k)a"b"Ô஺"=4x3"-'b6ᑖn4-3"-1.,,,,,12஻2n-\.T—b,1+/)2,+/)3,+,,•/),+bM---------1--------2r~\-------1--------------1----(--1---)----஻”T4.34,34-3n~243”T"123n-2n-\3(=—i------1---------I-------1--------------1------------ফ"44-34-3243-34-3"-2111n-\••.(2)-(1):27,----1----------1--------+.•--------------1----------------------------44-34-343T43ᔙ24-3"-'111]11n-\32஻+1=—I--------1----------+,,•++--------------------------------10ᑖ88-38-3283'T8-3"-28-3,,_|1616-3M-1»(«+!)2஻+1஻(஻+1)—3(2஻+1)4(஻+1)%—(3—167)=3"3"T3"•/஻(஻+1)—3(2஻+1)=A?—5஻311ᑖF஻ுᡈ஻ீ×<0Gᨵ஻(஻+1)>3(2஻+1),ᡠeF஻ு5(஻wN*)Gᨵ223-167<4(஻+1)&|ØÙÚᳮU;F5—ᔊ<஻<5+ᢈGᨵ஻(஻+1)<3(2஻+1),ᡠeF2214(஻+1)"+113ᑖT8;F஻>5(஻eN*)Gᨵ3—161<4(஻+1)%]F14஻W5(஻eN*)Gᨵ3—167>4(஻+1)%14ᑖ

111fv21.ூḐßᓝ᪥09áâὶὃÈᔁᦪÅ(ᳮ)22å*æᙊ£:Ó+ç=1(“>6>0)ahḄvj᳛'érg/;y=x+2çeêY'ᙊjஹeæᙊ0ḄëlÇì'lmḄᙊíᑗ.(I)ïæᙊ£ḄPh(n)XæᙊGḄ5ᯖY'ᱏòᯖY6rg#óY6IᚖræᙊḄìÇõrg4ᚖr4YEgöEᐭᚖrøᑖgù4YKïYKḄúûGḄPh(III)XçXÇùY0,ÚḄüYR,Sᙠ஺28Iýþÿ•=0,||Ḅ.ூ᪆௃(τ)Z=3/*==2/=3/•.•/:x—y-2=0ᙊ+y2=/ᑗ,/.~^=-b,.'.b-V2,ft2—2/.a2—33ᑖV2x2y2ᙊCτḄ!---F--=16ᑖ32(II)VMP=MF,2...&'Mᑮ*/,x=-lḄ/0123ᑮ*'Fl(1,0)Ḅ/078&'MḄ9:!C

112...”PQ877+%8-N=01O,:HH%,ST07ᓄVW/16ஹ,ஹY=QPHH---......................11ᑖH*=/+^+32>27256+32=64N,256ஹYZ[YH2===16,S=±4\1]ᡂ_.......13ᑖH:`='P%+£=*P4+8a2-64,b•.♦£264Yc=64,H=±8\7|dUm=8e7ᦑ|05|Ḅ!875,+oo14ᑖ

1132.ூghḕjᛆlmnoᦪm▤rsẆuᔁ௃(wx⚪zᑖ16ᑖ)dᦪ/(x)=ae\g(x)=lnx-lna,ᐸla<|ᦪ,Zdᦪy=/(x)}y=g(x)Ḅ~ᙠᐸᙶ᪗Ḅ'ᜐḄᑗ(1)ஹdᦪy=g(x)Ḅ᪆(2)ஹᐵ2xḄ1ுឤᡂ_7ᦪ஻?Ḅ஺g(x)ூ᪆௃(1)/7(x)=a/,g'(x)=L——2Xy=/(x)Ḅ~ᙶ᪗Ḅ'<(0,a),y=g(x)Ḅ~ᙶ᪗Ḅ'<(0)ᵫ⚪W'(0)=g'(a)dPa=L,--—3aba>0=1g(x)=lnx-----4(2)ᵫ⚪g(x)w0x>0,xw1YX£(1,+oo)\7———>y[x<^>m/x-lnx-2?.(P(x)=■72yJx

114஻(x)=2>/x-lnx-2,/.A(x)=-j=(l——------9y/xy/xYXG(1,4-00)\77(x)>0/z(x)ᓫs⌴஺h{x}>A(l)=0------10ᵫm4x<=>w>x-VxInx------13Inx¤W7(%)="ு02yJX79(x)ᓫs⌴஺----14ᵫ¡ுx-41nx=᜛(x)ᙠxw(0,1)ឤᡂ_7W¡2°(1)=1------15§7¤¨஻7=1------16

1153.ூ©ᓭḕ«¬Ql2008-2009m®no¯°±ᨴὃᦪm(ᦻµ)21.1(wx⚪zᑖ13ᑖ)᝞~7ᙠ·¸l7¹¨Z(2,0)ஹC(-2,2)7'»ᙠ8c½¾&7r஺»Ḅᚖᑖ2'E,'MzÁÂ=Ã5+Æ.(I)'MḄ9:Ç(II)¹¨'F(0,-),È'bḄ/'MḄ29:20ஹRÏLஹ,Z=ÊËbᦪXḄ.ூ᪆௃(I)Í⚪7E»(t,2)(-2WW2),A/(x,y).Y/=0\7'MyLஹEÒᔠ7ᑣM=(0,1);YÖ0\7rOPḄᚖᑖ<y=l=-j(x-1).4-4Ú+4x=0,Wy=——7ᓽE(0,UQ)44------------►----->/2+4/24-4/24-4ᵫÞ0=EO+EPW(x,y-----)-(0,—----)+(/,2----)444X=t0E஺(ìH)ஹR(X2/2)7íᐭ<+஽=-4%xx=-212ïÇ2Â<2ð(1Q/1)ñ2=-4”(l-^)272eQF=AFR,Xஹ——Ax).áâX27ôõ-------=8K.2?'-&£=-2øv00).WT424216A22

1164.ூ©ᓅḕ2009ýno°᪥ὶὃ(ᳮ)21.௃(⚪ᑖ14ᑖ)ᦪᑡ4%=3,%=5ᐸ஻⚗"S,+S2=2S,T+2"T(஻È3).(I)ᦪᑡḄ!⚗"#$(II)%/(X)=2ஹT,&'7$="/পফ+••♦+”(஻)<'()$O(III).,+b2a2+&/+…+6“/)(a>0),012ᑡ34ᩩ6Ḅᡠᨵ4Ḅ9'জ;<=>?᦮ᦪ஻Aᨵ?$<,$ঝ;<=>ḄᙳEᙠ஻GH஻/1T>m.nூK௃(I)ᵫ⚪>S,,-Si=5„_,-S—+2"-'(஻M3)ᓽa„=%+2ᔣᒹM3)……1'•'R%=g“_q”T)+(a”T[(-2)+…+(%—%)+%=2"-'+2"-2+---+22+5=2"-'+2"-2+---+22+2+1+2=2"+l(n^3).......2'`a஻=1ஹ21cdeᡂgᦑ஺“=2"+1..............3'j)ᦑᓅপ+lফ+[”,/(஻)=4(5-3)+(£?\(11^111[I-------------------|v---------——••••••••••••'2U+22"+|+1)21+26'

117(III)(i)qa=21;ᵫ(II)'T<~,ᓽᩩ6জ$XOm----------'-->mo2n+1>------1=஻>logஹ-1|-l>0.2U+22"+1+1l-6wl-6w)3}?~21:஻21,—=-Aa"^--2",{.b-a"^b---2"=--b-2".T22""221114(W11y7l.177Tᵫ(i)Eᙠ஻o£N*,q஻2%1!111>[,°0211+22+13aᦑEᙠ஻஺q஻1A"21211ᩩ6.…1223a6(iii)q0<”21j1,=ব&Ð,a"^--2",2"Uj22bdWb-2".nn2”F£2THirj______511+22n+1+1J/=1Ni=\zN}=¢Jo£¤,%Eᙠ%eN”,q஻M஻஺1¦$§ᑗ©------1216J0஺”22(1+22"+'+1)12.••ª-«ᓃுg®¯.ᦑEᙠ/eN*,q஻,.17$ு᪷.ᩩ6.±²ᡠ³'´ᨵ஺=21ᩩ6ᦑ஺=2.14'

1185.ூ¶ᓭḕ¹!º2009»º¼½¾ᦟÀÁÂÃẆὃÅ(ᦻ)22.1(⚪ᑖ12ᑖ)ÇAÈÉᱥËy2=2px(p>0)²[ÇFÏÉᱥËḄᯖÇÑË/ÒxÓÔ<ÇK,IAKI=V2IAFI,×ØÙAFKḄ☢Û~<8.(1)pḄ9$(2)ÝÉᱥËḄᯖÇÞ3ᩩßàᚖâḄâË/,ÒÉᱥËàÔH3ᩩ2ã3ᩩãḄÇᑖäÏG,H.IGHIḄᨬ9.22.K:(I)æ4ç,è)ூK᪆௃:êÏÉᱥËḄᯖÇÑË/ḄëìÏ'X=-5,î([5,0)Þ^஻_1/<஻ᑣð=%+5=|ñ.......................1ᑖò|/ó=⊈»ᵨH|/ó=÷|4øᓽA4KMÏ~ῪâØ×ØÙ.....2ᑖ=|AW|=X0+^,.'.y—x+3,ᓽ410,Xo+-^J,üÇZᙠÉᱥ˲nn.-.fx+-^=2ÿ,,=^,(],p.........................4ᑖ0.[2ÉSVIFK=2|□=/4==8,.4=4.ᦑᡠᱥḄV=8x.6ᑖ(2)ᵫy2=8x,'/(2,0),)ᯠ+/,4Ḅ-᳛/0ᙠ2/3644Ḅ_y=©x-2),ᑣ92Ḅ:=—L(X—2).kr20ᵫ=X''G(2+393),@ᳮB'”(2+4D2,—4D)...........8ᑖy=k(x-2),k-kᑣ=(*-4D>+(H+4D/=16(*+(■+/+*)264.(K2LKD2=*MNOP)

119ᡠQ|GH|ḄᨬSTU812ᑖ

1206.ூWᓭḕZ[\]2009_\]`abᦟdefgẆὃj(ᳮ)22.1(kS⚪mᑖ12ᑖ)noᦪᑡrBsmtq=,eN*).(1)᜜,49%(2)no0ᙠzᦪa,||}~-1ḄO~ᦪᑡ,aḄTI%+”(3)("wN*),ᦪᑡsḄ஻⚗S“9HS.>.22.:(1)-/«1=-,ᵫᦪᑡr%sḄ⌴}'ூ᪆௃H22=0'%=-“4=..........................................3ᑖ...%+a(஻+1)%+a”2)஺9+஻+1"“+஻(n+l)(2a-n),a+4na+annn(“+1)(2")a+nna+4/7n(a+2)Q஻+(4a-1)஻a-\-an_a-

121..............5ᑖ3a+3஻%+஻3nᦪᑡJa"+an\}~U"1ḄO~ᦪᑡ.[“,,+஻J3

122ᵫ⚪9¡——=-1,'஺23(3)ᵫ(2)o-----*1*——+(/7-1)(-1)=-w,஻q+1-rr+2/7ᡠQ¦4஺=---;---------1---------------=------------------------¨—(஻+1)2+2(஻+2)(¢£஻(஻+2)஻+3l11.r——[---3=---------------------7=-----]>...............................102(¢£(஻+2)(ḕ)"஻.q_l111________1___r"“3(©3.3ὡ+(©ஹ4(6)2.2+"(V3)5-5-(V3)3.3+"[___________lr_X_l=(¢£.(஻+2)(6)".஻2^/3611ஹH----7=-----------------1-----1=----------------1(6£.(”+1)(ত”+2.(஻+2)12

1237.ூWᓅḕ¬®¯2009_\]`ab°±ᦟdef²³()22.](k⚪mᑖ12ᑖ)ூᳮ´௃noµᦪ/(x)=τ"+.\4¶X(I)/(X)Ḅ᩽TH(II)¸Inx-¹<0ᙠ(0,+00)»ឤᡂ¾,¿ḄNTÁ(III)noX]>0,X>0,2X]+Â2ÃÂ2.2ூ᪆௃H(I)•••/”(ᑗ=ÆÇ9¡/"(x)=0'x=e“..................2ᑖxKxe(0,e"),.r(x)>0,/")ȵᦪKxw(e",+8),/'(x)<0,/(x)ɵᦪ9Bo/(%)ᨵ᩽ᜧT/(e")=e-°.......................................4ᑖInx(II)Ì|lnx-Ax<0ᙠ(0,+o஺)»ឤᡂ¾9Í◤——ீ¿ᙠ(0,+8)»ឤᡂ¾,x/ஹInxஹz4g(x)=-^(xு0)ᵫ(I)o9g(x)ᙠx=eᜐNᨬᜧTLe{.k>-.............................8ᑖeInx(III)ve>x+x>X)>0,ᵫ»Bo/(x)=-----ᙠ(0,e)»ᓫg⌴È912x,ÓᓽxJn(X|+X2)>[nxজ9᳝+xX]X]+x22@ᳮᙢ5»Ø2>]nx,ঝ.......................................10ᑖ᳝+%2ÚÛÜ'InÝ᳝+x>InXj+lnx=Inxx22}2

124/.Xj+x>xxᑖ2]2....................................................12

1258.ூWᓅḕ¬®¯2009_\]`ab°±ᦟdef²³ÝÞ22.ßÝk⚪mᑖ12ᑖÞ22àூᦻ´௃noâᙊᓃ+ᓃ=ig>&ÞḄèé᳛ê9ëìcînoâᙊᨵÛ@Ḅaa2ᯖð9ᐸÚᩩóôîQðÝo,J5Þᙊé91ö÷ḄᙊÛᑗ஺ÝIÞëìcḄÝID4+y=Üx+lîëìCḄDûüÚðAஹB,ÿ/”2,0ABḄ/ᙠyḄ6Ḅ஺ூ!᪆௃$%&⚪(ᑖ12ᑖI,-.CḄᯖ1:£-c,0,£c,0,cு07a=2,c=y/2,..........2ᑖ,-.CḄ<=>?1y=kx,k.0±V2@⚪Aτ/1=1,!7B=±1.V^+i-.CḄDᩩ<=>?1y=±x.ᦑ-.CḄHIJKLIJMN,1q,ᑣ24;=/=2,7aj1,...-.CḄ>?1/-y2=1..........6ᑖ.y=mx+\^..(II)ᵫW22W(l-w)x2-2mx-2=0ஹᔆ]=1K-.B^_`D,

126\-tn~w0A>0bc2Md0!71ீfீ&.............9ᑖ\-m2m1iZ81(;ߟ,-—-)r\-m~\-m.•./Ḅ>?1y=(x+2),-2m2+m+22qx=0,76=----r-------2m~+m+2-T1ஹ21748mG(1,V2^)—2(//7--)-H---G(—2+V2,l)48.♦.ᦑbḄz(-oo,-2-JI)U(2,+oo).............12ᑖ.

1279.ூ~ᓅ᪥2009ὃ(ᦻ)22.௃(%&⚪(ᑖ14ᑖ),NᦪᑡḄ஻⚗✌⚗q=l,q=/(/l)=£•(/[1,0).1+/t(I)$⎃=(1+4)—⊈;(11)¡ᦪᑡ஻(¢4=r4=/(஻-)(஻eN*,஻22),ᦪᑡ%ḄÉ⚗Êr(III)¡4=1,¦%=%($1),ᦪᑡc“Ḅ⚗1ᓅ$Ë“22¾247r<4.[!᪆1(D.ª%$▼)¬"([/)]=(]+ಘ”°12—)"]=(ll)-/l(—+/ஹ_q1__±_-Z1+21+2......2ᑖ²Q=a=(ߟ—)/?1..............l"'1+/1ᑖᡠµS,,=(l+4)-·................................4ᑖ......................61+41+¸….Tᑖ$.z✌⚗1$=2,º11ḄNºᦪᑡ»=2+(஻-1)=஻+1,ᓽ6'=---..........................8b,஻+1ᑖ(HI)½=1¾4=('"I,{.C=■-1)="(J"’n....................9ᑖ...7r=1+2(r)+3(y+•••+஻§Ã.Ä=r+2ᔺ3ᔺ…+஻᜛MÇ7.,r[=1+(r)+(r)2+…+(g)"l-2[1-(

128U=4—(2_஻C)஻T<4,....................12ᑖib1c“=>0,.-.7rᓫÎ⌴ÐÑ2=2,ᦑ˾2<7r,<4..........................................14ᑖ10.ூ~ᓅ᪥2009ὃ(ᳮ)24.௃᝞ÔÕ(1)ᡠÖ×ØᙠÙÚ஺ḄÛᦪ/(x),᝞Ü(¢$ÝVxe஺ÞᦪA,ßᨵ/(x)24ᡂâᑣãÙÚ஺ᨵäåᐸ/ç1ÛᦪḄäå.(èÖ$Õ(1)ஹ(2)ḄÞᦪZᦪéêµzëᦪᡈí)4X(1)ᑨïÛᦪ/(x)=d+ᙠ(0,+8)zᔲᨵäåòóôᳮᵫrX(II)i᝞ᐹᨵÔÕ(2)ᱯ÷ḄÛᦪç1ᙠÙÚ஺ᨵå.yøùúÛᦪᨵäåḄ×ØûüÛᦪ/(x)ᙠÙÚ஺ᨵåḄ×Ø,ḄÛᦪᙠ(-8,0)zᔲᨵåòóôᳮᵫrý/\y=f(x)(III)ᦪ/(X)ᙠ஺ᨵᨵᑣᦪ/(X)ᙠ஺Xi°|D=[XI,X2J.XZAXᦪ/'(x)$%ᨵᦪ.&'(ᦪ/'())=஺/+2(஺>0,->஺4101ᦪ)0ᔲ0X[m,n](m>0,A?>0,m>஻01ᦪ)Ḅᨵᦪ74848ூ9᪆௃<24.(I)9=1:,-%)=3/AAᵫC%)=0D3——A=0,?XXx4=16,GxG(0,+00),x=2,-----------2ᑖ

129•.,L02M/'(x)>0,Pᦪ/(x)ᙠ(2,+8)0Rᦪ;S.x=20ᦪḄᙠ(0,+8)ḄᨬUVW/(XYZ=/(2)=8+[=32.,.\Vxe(0,+oo),]ᨵ/(x)>32,----------------------------------4ᑖᓽᙠ(0,+oo)_ᙠ1ᦪA=32,`D\Vxe(0,+oo)]ᨵ/(%)2Zᡂb48ᦪ/(x)=V+Aᙠ(0,+8)ᨵ.--------------5ᑖx…ஹ3483161616,/1616163e9=2:,/x>0f(x)—xH------xH-------1------1----N4^x,—,—,——32XXXXVXXXLfgLd=3ᓽx=2M“=”ᡂbX:.\£(0,+oo),]ᨵf(x)>32ᓽᙠ(0,+oo)_ᙠ1ᦪA=32,`D\Vx£(0,+8)]ᨵᡂb48/.ᦪf(X)=X34-—ᙠ(0,+00)ᨵjX(II)klᦪᨵḄmnᦪᨵopq᪵mn0,ᵫ(1)|\Vx£(0,+oo),]ᨵ/(x)232,4g/(—x)232,•,ᦪ/(%)=/+Az᜻ᦪ./(_=A/(x)x{.-f(x)>32,{./(x)<-32ᓽ_ᙠ1ᦪB=-32,\Vxw(-oo,0),]ᨵ/(x)<5,48ᦪ/(%)=/+Aᙠ(-oo,0)ᨵ.-----9ᑖx)*.*//(x)=3ax2-,xbᵫ/(x)=0D3a?7A_Lo,Va>0,Z>>0=x/.x4=—,*/[m,n]cz(0,+oo),/.x=J—,---------10ᑖ3aV3஺

130,:°00,.,.ᦪ/(%)ᙠ(V3aஹ3QP.x=0ᦪḄᙠ0,+8ḄᨬUVW,V3ah4᪗11ᑖV3aV3aজLm>JAMᦪ/Xᙠe0Rᦪ;V3aA/(w)

131ᦪ/(x)=ax3+—ᙠM,nbᨵ.xo|ᦪf(x)=ax3+—0,Ḅᨵᦪ.14ᑖx

13211.ூᓅ¡ஹᜩ£ὀ¥ஹᜧ¦§ஹ¨wy2009ª«᪥A®¯ὃ±²ὶὃ(ᳮ)22.),y2(¶U⚪uᑖ12ᑖ)᝞¸¹|º»¼A2P=1Ḅ½¾ᯖWzF“F,½¾⚔WzAI23A2,WÂ(0,6)0yÃÄÅÃAWfᡠÓ<0,o>0.(I)ÇÈᦪ6ḄÉVËS(II)̼PR,PF2ᑖϺ»¼ᔜÑÒ½WÇpq«¾ÑWz⚔WḄ«ÓÔḄ☢ÖSḄÉVË஺ூ9᪆௃<(1)A1(-1,0),A(1,0),F](-2,0),F(2,0)22•:o•<0,ᓽ(A2,—6),(2,—6)<0,.'.b2<4•.•ᡠ█>0,ᓽ(-1,-6).(1,-Ù)>0,SÚ>1l

133J=+2)nM/)/-4b2x-4(b2+3)=03x2-y2=3à>()=>/+4ுo4b2'212-b2-4(/+3)6ᑖI1h•ãI<6<2,...A0,(12-b2)2(12-b2)3../()ᙠ(1,2)⌴R/(1)=1M2)=S11.-.se(—,18)......12ᑖ121

13412.ூôõḕ÷¯yḐᓅùú2009ª¯wὶὃ(ᳮ)22௃(¶U⚪14ᑖ){ᦪ/(x)=x-a(x+1)ln(x+1),(x>-l,a>0)(I)Ç/(x)ḄᓫýS(II)LMÚþ஻x)=/ᙠe-ᨵ½¾Èᦪ9ÇÈᦪtḄ(III)m>n>0(1+w)"<(l+w)m.ூ᪆௃22ஹ(I)/(x)=l—aln(x+l)—aজa=O/'(x)>0.../(x)ᙠ(*1,+oo)-./0ᦪ\-a\-aঝQ>0/(x)ᙠ-14-⌴/ᙠ6e"-1,+8)ᓫ:⌴;(H)ᵫ(I)>/(x)ᙠ6*;,04-ᓫ:⌴/ᙠ60,14-ᓫ:⌴;@/(0)=o,/(1)=1—In4,/(—)=—+In2B/0)—/(—)<0/e6—,+ln2,0)CD/(E)=/ᨵG(HI)⌕(1+m)n<(1+n)mI◤஻ln(l+m)0),ᑣg(x)=-H~s------=-~®XXX(l+x)ᵫ(I)>x-(l+x)ln(l+x)ᙠ(0,+oo)ᓫ:⌴;:.x-(l+x)ln(l+x)<0,ᓽg(x)];0ᦪ,^m>ng஺%)

13513.ூijḕᔠmno2009qrstuvᨴὃyᳮ{22.1y|}⚪ᑖ14ᑖ{ᙊᱏ+f=lya>6>0{ḄஹᯖᑖஹF,*Ḅ/ᙊ2a2b2A.BÏL.yi{᝞/ᙠᙊᙊḄᯖ{-ia*=c,ᙊḄ᳛y2{0ᦪy=V^+log”,Xy£>07MW1{Ḅ¦§¨©ª«ឤy6,a{,®•°Ḅ஺ூ᪆௃(1)±ᙠᙊX?+.2=³2-,...&4µ]·*¸s¸¹,•••Iὡ»=c,|FF|=2cFA\=½µ2¾*I¿|2=&t22ᵫᙊḄÀ>:\AF\+\AF^2a,}c+-y/Sc=2ae=—=—=V3-1a1+V3(2),0ᦪ^=/+108஻/Ḅ¦§ឤ(1,Á)a=6,b=l,c=1,LஹFi(-1,0),F(1,0),2জABJ_xÅᑣ4(—1,-s),8(—1,——),——V2——V2--------17ᨴ4=y*2,Æ{,F/=y*2,-Ç{,FA-FB^4--^~22ঝxÅcᚖWZ8ḄÊ᳛஻ᑣḄCDËÌyx+1{u—k(x+1)Î,ÏÐyÑ(1+22)/+42%+2(A—])=oᵫ<(*)x'+2y2-2=0•.•Ó=82+8>0,;.CDy*{ᨵGÔcÕḄÖ᪷.

136W/(xpyi),B(x,y),ᑣxiX2]CD(*)ḄGÔ᪷224k22(Ù*1)x.1+x22=---1-+---2--7/X-,X2=-]-+--2-Ù-FA=(X-1,y),FB=(X2X122F,A-F[B=(X]—1)(%2—1)+=(1+Ú~)X[%2+(%--1)(X]+4)+1+%~2yÙ—1{஻2Ý/4k2ஹ,,27k2—I79=(1+Ü2)+(k—1)(-------^-)+]+—------——------------1+2Ù1+221+2-222(1+22)1QO-{\+2k2>1,.-.0<------<1,0<---------<-1+2Ù2(1+22)2,——797-1*14µ2,•³8

13714.[2009Þᜩà.rsÞáâãäå(æçᔁ.ᳮ)22.](|}⚪ᑖ14ᑖ)᝞¦é>ᙊḄoᙠbᯖᙠxÅ-êÅê]ëÅêḄ2ìí஻(2,1),îïOMḄ/ᙠுÅ-Ḅñ£(஻-0),/ᙊ48GÔcÕ(1)ᙊḄCD(2)£Ḅ(3)ò4ஹA=xÅóôᡂ*ÔdῪs¸¹஺ூ᪆௃(1)WᙊCD=+ö=1(஺>6>0)a~b~a=2b8x2y2ᑣ141,ÑÜᡠúᙊCD*+³=1bv=1b2282(2)û/îïOM,ᙠyÅ-Ḅñ£

138K0M=:,ᡠú/ḄCDy=+M1y=—x+mJ2ᵫü))=ýx2+2mx4-2m2-4=0x+µ-182û/ᙊ/ஹ8GÔcÕ.-.A=(2W)2-4(2W2-4)0,ᡠúmḄ]þÿ|-22,w0஺(3)MAஹMBḄ᳛ᑖ2⌕kஹ+k0ᓽ2!,"),5(஽,y2)ᑣ=")*2=2+Xj-2x-22ᵫX?+2mx+2m2-4=03᳝+%=-2/w,xx-2m2-4x2k+k=7TI.2T=(M-1)(>—2)+(/-1)(X]-2)12@)2%—2(x(_2)(4—2)X]+-1)(%2—2)+(50+-1)(X|-2)(x,-2)(X-2)2_xx+(+2)(2+x)-4(m-l)122(D-2)(E-2)2m2—4+(m+2)(-2/77)-4(-1)(%,—2)(X—2)2/.ᓃ+e=0ᦑMAஹMBMxNOPQᡂ)STῪVWX஺

13915.(2009YZ[\]^_T`᪥᧡cdeὃg20.௃iᦪ£,(6)=sin"6+(-1)"cos"஺0W”?,ᐸl஻n᦮ᦪ.(1)ᑨqiᦪr(஺)ஹr(஺)Ḅᓫtឋvwr(஺)ḄxXyḄz{|(2)}z/^e,-Aewlcos,e-sir/eMcosNe-sin2)|(3)~Ḅn᦮ᦪriᦪ£,(஺)Ḅᨬᜧᨬ.ூ᪆௃(1)r(6)ஹr(஺)ᙠ0,?Zᙳᓫt⌴Ḅiᦪ.……2ᑖ~iᦪ/(e)=sin6-cos஺4<%ஹ%€0,-,ᑣ4_r(4))/(%)=(sin-sin)+(cos0-cos0),2},/sin0

140஻=2/20=1,iᦪrযḄᨬᜧஹᨬᙳ1.஻=3iᦪ஺¡ᙠ0,~Zᓫt⌴.¢£¡Ḅᨬᜧ=ᨬ0¡=-1.஻=4iᦪ/,e¡=l-|sin22eᙠ0,Zᓫt⌴¤,/¥¡Ḅᨬᜧ/4஺¡=1ᨬ11ᑖ¦☢¨{n᦮ᦪ஻25ḄxX}஻᜻ᦪ~ஹ0G0,-ªᵨE,24¡—/.ewlsin'q-sin"%cos"%)COS஻0¬00,'/“")2য"·--rয:|"஺2--I--114/2222¹Zᡠ»஻᜻ᦪiᦪ/,஺¡Ḅᨬᜧ0,ᨬ-1.஻Ꮤᦪiᦪ£,஺¡Ḅᨬᜧ1,ᨬ218ᑖ

14116.ூ2009Y_ὃ᪺᪍\ஹ¾\ஹ¿À\ஹ■ÂÃ\ὶᔠtẆὃgᦻ22.௃È⚪Êᑖ12ᑖ¡ËÌÍR-3,0,ÍÎᙠyNZÍ஺ᙠxNḄnÏNZÍMᙠP஺ZªÊÐ2Ñ++Ò=0,¯Ó=0.I¡ÍÎᙠyNZÔÕÍMḄÖ×஺Ḅ³Ø|1/Ù,"¡ஹ8஽,7¡Ö×஺ZÑͪ@1,Ú0,Nl,0,Ûᦪ|I,——-—16ÕAB=2AN,ª48=—.3..VXூ᪆௃}}1Í”ᓃÝ¡ᵫ2PA/+3M0=03஺0,—᝕¡,஺3,0...............2ᑖᵫÓÓ=0,33,-5¡ß?¡=0,ᓽy2=4x...................4ᑖÍ0ᙠxNḄnÏNZx0.ᦑÍMḄÖ×CḄ³Øày2=4xx0....................................................................................6ᑖIIᵫ⚪ÌNáᱥC}y2=4xḄᯖͪ஻ஹ8äᯖÍNḄMáᱥ஺ḄÑSåÍᡠ¬48Ḅ᳛æ0.....................................................7ᑖN8᳛æçᙠ341,2,81,—2,èὡ=4êæᔠ⚪|……8ᑖZ6᳛çᙠªæ0஻B}ë=ìí)1îᐭ/=4%3k2x2—2ð+2x+2=0,ᑣ᪗=ᓛ+*2+2=2c&2/.+2=4++=3,3r=3...............10ᑖ12k2k231——►-----îᐭ³Ø33--10x+3=0,ᵫôு1,ᡠ¬$=3,஽=§,ᵫN8=/l/N,3"2ߟ@2=-............................................................................12ᑖ1-x,33

142

14317.ூùᓅVḕü\ý᧡ஹþÿஹ□ஹᜧὶᔠὃᦪ(ᳮ)22.௃(⚪ᑖ12ᑖ)஺ᙶ᪗!"#"/ஹ8ᑖ&ᙠx)ஹy)+,-#.|4ᔂ=8,-"456=17#8"4Ḅ:;<=C,?"஻(4,0),C=D<=஺EF᜜"஺.(1)H<=஺Ḅ6IJ(2)HNOPQ☢LḄᨬᜧN.ூP᪆௃R⚪S⌕ὃUC=ஹVᙊXY☢P᪆Z[Ḅ\Ạ^#ὃU:;ḄH_`abᔠP⚪cd஺PRপ8/(஺,0),8(0,6),4(x,y),ᑣ/4=(x-a,y),48=(—x,b—y)3x—a=¤x3,5•••AP=3“ஹ53-y=-(b-y).x2,y2o=J/+62=8,Z.•-------1------1--259...<=஺Ḅ6It+u=125922(2)ᵫ(1)w#M(4,0)Vᙊa+/x1Ḅyᯖ"#8C=6Iᱥ+4,ᵫ|+/1}~x#(9/+25)/+72ᓽ-81=0,X=x=+4J(72)2+4>(92+25)x81_9oV/»2+1\yp-y^\92+259/+2590dm2+120,2+1,4,StsOPQ~/஺”41|=2x---------=----------9+25+25920A/W2+120,2015<--=---/772+1+—yltn2+1+—J68299ylm2+13

144J2+1=16,ᓽ=±ᨬᜧN,91nl2+13C=6I3x±/ly-12=0.

14518.ூ2009ὃ(x)(ᦻ)22.௃(⚪ᑖ13ᑖ)᝞#VᙊḄᙠ!"#ᯖ"ᙠx)+#)¡¢)Ḅ2£.¤¥"M(2,1),Y§EOMḄC=Lᙠy)+Ḅª«m(m/O),LDVᙊEAஹB¯°±²"஺(1)HVᙊḄ6IJ(2)HmḄN´J(3)HµC=MAஹMB¶x)·¸´ᡂ°XῪ»¼஺))a=2bூP᪆௃R(1)8Vᙊ6I1+#=1(஺>6>0),ᑣ41#Pb,22,Vᙊ6Ixx+Jv=1..............4ᑖ82(2)•.•C=/Y§EOM,.ᙠy)+Ḅª«m,oKOM=,.1V=—X+1J2/Ḅ6IR+ὶ6IᨵV2221=1,I82Ax2+2mx+2m2-4=0,..•C=1¶VᙊDEA.B¯°±²"#A=(2w)2-4(2w2-4)>0,P2cm<2,.mN0.......8ᑖ(3)8C=MA,MBḄÄ᳛ᑖ&᝞#k,Ç◤µÉkI+k2=0ᓽw28஻(Ê#Ë),8(Ì2#P2)#1+x2=-2m,xx=2m--4,t2ᑣ,AR=ߟߟ-ᵫx#+2᝞+22-4=0w2X]-2—2

146Xj4-x=-2/W,X|X=2m2-422Ò1+9Ó-1Ô-2)+(ᓃ-1)(*-2)7Ñ1+Ñ2X)-2Ö2-2(X1—2)(X-2)2(2x\+1)(Ö2-2)+(512+1)(×2)(xi-2)(X-2)2x,x+(/%—2)(Ø+x)-4(m-1)_2w2-4+(w-2)(-2/n)-4(/n-1)22(%,-2)(X-2)(Xj-2)(X-2)222m2-4-2m2+4m-Am+4=0k+k=0x2(X_2)(X-2)2ᦑC=MA,MB¶x)·¸´ᡂ°XῪ»¼13ᑖ

14719.12009ÚÛᓭÝÞßàáâ⚪ãäå௃ᦪᑡã4å¶ç஻åᨵ᝞èᐵê:c1z1x,í+1a\=2,%+i=7ã4,+—åñ=-----24a-lnã1åHᦪᑡã4òḄó⚗õö஺ফ8S.¡ᦪᑡç%òḄùn⚗û#ü2,Hµ4=ᕬ=3ூP᪆௃Rã1åRq-i1ÿ22%+1b=4]ᱏ>0n+ian\~11a”"+a„+-1222_L23__A2"T_N2"Tb“=b“_{=b,n-2-4-3…434ᑖফᙢ,…"”15“2=5403-1-$%T%-1Wᔊ4T%T4[)-1-1ᦑ10.*-./0S“஻-2v][S“_[_/஻2]6789:;<1UAS10S஻------10஻—2WS஻-—2—஻+229S<—+9/7-o"-1232-1

148SCCDE+Fஹ,25,1_23^+஻^249(3ᡝ189-18<18ᓝK4S஻<—Fn3("22)MN.

14920.12009OPQḕSTUVWXYZ[\]^ᔠ`a(ᳮ)22.௃(de⚪gᑖ13ᑖ)h/iᦪC(x)=/aY—+3+d(a,c,de/?)go/'(0)=0,/'(I)=0,0ᙠR7ឤᡂw.(1)xa,c,dḄ|}(2)~A(x)=(--6x+8/\x)+%(x)<0;(3)ᔲᙠSᦪm,iᦪ8(%)=/'()-᝞ᙠ,஻?+2F7ᨵᨬe|-5?~ᙠCxSᦪḄ|}~ᙠCDᳮᵫ.ூ᪆௃(1)•.•/(())=0,.•.4=()/'(x)=ax2~^x+cikf'(Y)=0,ᨵa+c=}v/'(x)20ᙠ&7ឤᡂwCᓽax?-;x+c20ឤᡂw,11ᓽax2——xd----a>0ឤᡂw22ᯠ“=0C78ឤᡂwar0,iᦪ/''(X)=ax2-+]iᦪᵫ¡¢ᑗxw¥C$ᨵ((X)20,¡ᵫ]iᦪḄឋ§¨MQ>0,<(-1)2-4«(1-a)<0.

150Qுo,ft?>o,ᓽ21-<0Cᓽ,lஹ2«nCM஺=7216I41a=c=—.4ᵫ/*'(x)+஻(x)<0,RP—x2-—x+—+—x2-6x+--—<0424424ᓽx2-(6+g<0,ᓽ(x-b)(xg)<06>®,¯°(Lb),6<®,¯°("®)C6=®C¯°9.222221112/.g(x)=f(x)-mx=-x-(-+w)x+-.424³iᦪ´µ¶Kᔣ7C¢¸¹°x=2m+1.Ꮇ»ᙠSᦪmiᦪg(x)=ff(x)-mx=^x2(}+)®+}¼ᑗ+27ᨵᨬe|-5.জ¾<-1,2m+1<¿,iᦪg(x)ᙠ;஻+27⌴ÁḄ.g(m)=—5,ᓽ:2—(}+Ã)+}=-5.777M=-3ᡈM.v—>-1,..m=ÅÆ333ঝ1

151iᦪg(x)=f\x)-xᙠm+27ᨵᨬe|-5.

15221.ூ2009Y3ᨴ\Ö(×)WXØẆὃa.(ᦻ)21.](de⚪gᑖ13ᑖ)»X]iᦪ/,(X)=ax3+hx2+cx+d(a0•••a<0C,6஺=3஺+3஺=3஺-26—஺<3஺+26+஺=0<6஺,•a<0,c>0ᵫজíᐭঝM3“2+2bm-2b=0,A=4/+24ab>0,M(2>+ïNO,...2«-6ᡈ2NOঞaaaaτb1—1<<1òc=-3a—26íᐭaz<஺<23a<%2ᡈx>X|/'(x)<0,2<*<□f'(x)>0...ᦪy=/'(X)ᓫ!"#$%&2ᡝ(.)*+%21=2+-3aQ0<—<12<|Xj-x\<—2ᵫ஺23஺...ᦪ4="X)ᙠ#$747ᓫ!⌴"&:;&2,xJ,

153.•.0<|s—”<|,ᓽτ§+?ḄABD%‘§஺13ᑖ

15422.ூ2009H3ᨴJKLMNOP!ẆὃS.LᳮN21.1UV⚪Xᑖ13ᑖNY2ᦪ/LXN=Z&+2x+mxL1N/LXN\]^_7Ḅᓫ!ᦪ`aᦪbḄABDL2Nb=—1`ᦪ/"ḄᨬᜧB4L“N+/Lf+g-----------Z3b=1.h12஺62°,ijk3a-b[m᪆]:(1)/(x)=lnj]+2x+rx,(=ு+5).•./♦)ߟ]+2rbx>~--'ߟe(0,+oo)s\t2,ᨵl+2xf'(x)-------FZM<0X>--vwᙠaᦪbx.l+2xt2ឤᡂ{2ᑖf\x)=---+w>0m>--------ᵫ'l+2xឤᡂ{i+2x,l+2xᡠ}~20f\x)=------FW>0X>-—~2°,l+2xt2ឤᡂ{஺.•.“72°/LXN\]^_7Ḅᓫ!"ᦪ4ᑖ1-2xf'(x)=———1=^L=O(2)஻7=-1ᵫl+2x\+2xx=oXe(-2,0)^,.r«>0xe(0,+8)/(x)<0/LXNᙠx=°AᨬᜧBG:.ᦪ/LXNḄᨬᜧB\஻°N=07ᑖ

1551IJQ------L3NᵫL2NlnJl+2x«xt2ឤᡂ{hx=0A஻7=1/(x)=InJl+2x+x,•-\>a>b>0a-b>0\+2b.ஹIII2(6-a)/(b)—஻a)=lnz+(b-a)—In-11H-+--(-b--—-a-)1+2”V1+2ab-aஹ(a-b)(2+2a)<;~—+(/>-«)=-1+2஺l+2a2+2“a-b1+2஺WAb?2+2஺2+2஺,1<------------=1+------ᳮa-b1+2஺1>(7>/>>0l+2a1+2஺2+261+264/(()_/(*+<------------------g(6)44ᓽ¯N-°ு”N-±n------------------>+a-b3ª஻L²஻b2”³+2®N-4ফµᙠಗ7⌴·,%Nீ¹Nᓽ/(a)_2a-6/(a)—/•()<2(a—b)..-b>0a

1564/ভ+/»N---------------------AC+g-----------§L"b,¼73a-bᡂ{ᐸ¾046஺g1

15723.ூ¾ZM2009ÀOPÁÂÃ2ᨴJ᪥ὶὃLᳮN௃LUV⚪Xᑖ14ᑖÁIV⚪5ᑖ,ÁHV⚪4ᑖÁHIV⚪5ᑖN.ᦪᑡÉ4ÊḄᔜ⚗ᙳ\ÎᦪS,,\ᐸÐ஻⚗ÑtÒÓÔ஻wN*,¬ᨵÖ”5”,×2ᡂ©ᦪᑡ.LIN`ᦪᑡaÊḄØ⚗ÙÚl«ÛLHNÜᦪᑡÝ,ÊḄÐ஻⚗Ñ\7,h஻=nÞ`i:tÓÔaᦪ%xeLl,e]Le%àᦪe=2.71828…NÑÓÔÎ᦮ᦪ“¬ᨵ7<2;LIIINÎᦪᦪᑡᓃʾ4e=}ᔆ,L஻€:N.`ᦪᑡᓃʾḄᨬᜧ⚗.ூm᪆௃k(I)mkᵫY2ktÒ஻eN*,¬ᨵ2S,=%+/2জᡂ{2s+a2(n,2)ঝ..............®ᑖniজঝ2a“=a,,+a„2-a_,-a,,2Hnan+an-\=(«„+an-\)(%--)kᙳ\Îᦪ4=1(n22)•ᦪᑡa%Ù©\1Ḅ©ᦪᑡ......3ᑖnên=l2S]=q+q2,mq=la=n.neN*...................................5ᑖn

158(11)ijk•.•tÓÔaᦪxe(l,e®ÑÓÔÎ᦮ᦪn,¬ᨵ“=Ý-4Wí.……6ᑖa„“+.-111,111"I222"2122-3(஻-1)஻(HDmkᵫY2a=c,2=2=>c=V2,2ta—4—3=>C=V3,67=c4=4nC3=V?=-J2,3243ò=ck=5nC4=ó᧕c^c>c>...2234¥¦n22ᓃÊ%⌴·ᦪᑡ.........................11ᑖ1,i--x-lnxெIª/(x)=÷ᑣ/''()=——=ᵱPXXX•x23,lnx>1,ú111+Inx<0,ᓽ/'(x)<0.ᙠû3,+8)ᑁ/(X)\ᓫ!⌴·ᦪ.ᵫý+i=%"”2Inj=E("&I.n2Éinc%⌴·ᦪ4U.ᓽÉc“Ê%⌴·ᦪ4U.nêq

15924.ூÿḕ2009ὃὃᳮ21.]⚪ᑖ14ᑖᦪᑡS34=஺2=2,஺”+1=a”+2[஻>2I.ᦪᑡ/0,1Ḅ3⚗56(II)9:2;,.<:L+_L+...+_L<3a2%(III)ABᦪ/(x)E/(1)=4,/(஻+1)=/2(஻)+/(«).(஻wN*)11.<:S£_/w+i2ூM᪆௃Pপ•.•%=%+2%,TUVWP%+4=2(஺X+%)2),*'4{an+\+an}Z[2\5]X^+%=4\✌⚗Ḅ`]ᦪᑡ•a%+%=42"T=22"……জᵫ%=%+2%TUg2%W:a-2%=-(a„-2a_)(n>2)r.{a-2a}Zn+xnin+ln[1\5]X\-2%=-2\✌⚗Ḅ`]ᦪᑡ.a-2a=-2(-1),,k|=2(-l)n……ঝn+in2জ-ঝWP3%=2[2஻(1)஻]ᡠ[,ᡠ.3⚗\pa§[2஻(—1)s.......5ᑖ

160113112'-'+2"r]=-%2L2--'+l2"-l22"''2"+2"-2"~'-1(2)9஻\Ꮤᦪ;,32+2”32"-'+2"=|(^7T+^7)(W-2)<—22“T2"+2"T—122“T2"3T3-3—<3a,aa22222"2"2n24219஻\᜻ᦪ;,•••a“=[2"—(—1)”]>0,Xa>0,—>0,z஻+1\Ꮤᦪn+l3«„i+1111111,ᵫ(1)X---1------F...H-----<-----1------F...4------1-------<310ᑖaq%nq஺2a„%(3)<{:••/(஻+l)-/(rt)=./(„)>0/(«+1)>/(«),.-./(H+l)>f(n)>/(«-1)>••->/(I)=2>0z111_1_______L_/(«+1)/2(஻)+/(஻)/(„)[/(„)+1]/(஻)/(«)+1--------=----------------……"ᑖ./■(«)+1/(஻)/(H+1)S1r111r11i11.r£/(}+1/(I)/(2)7(2)/(3)j/஻)/(஻+1)~1111......................——_______________<_____———/(I)/(«+1)/(I)2-ᑖ

16125.ூ2009ὃὃ(ᦻ)21.௃(⚪ᑖ14ᑖ)£XBᦪ—(x>0),/(x)=<',F(x)=/(x)+kx,xeR.ex(x<0).প9^=1;,.b(x)ḄফBᦪb(x)Ḅᓫឋ.--FX,X>0,|ூM᪆௃Pপ/(x)=Jx-----1ᑖXx>0;XF(x)=-+x>2-----2[e"+x,x<0-ᑖ9x40;X(x)="+x,᪷ᢣᦪBᦪᗩBᦪḄᓫឋXZᓫ⌴Bᦪ3ᑖXF(x)0,ফ¡⚪¢E(x)={X2-ex+k,x<0----6ᑖ஺জ=0,9x>0;XF(x)<0,(x)⌴gX9x<0;XF'(x)>0,(x)⌴--8ᑖ஺ঝ^>0,9x>0;XM/'(x)=0Wx=90<%<3;X?(x)<0,F(x)⌴gX9§>;XF(x)>0,f(x)⌴.9x<0;XF(x)>0,/஺)⌴10ᑖ஺ঞ1ீ<0,9x>0;XR'(x)<0,E(x)⌴g஺9x<0;XMF/(x)=eஹ+=0Wx=ln(—)X9ln(-Q4x<0;X/(x)ு0,(x)⌴X9x

162®^<-1,±²¢xwO,Fz(x)<0,/(x)ᙠ¶·¸¹º»¼⌴g—13ᑖ஺½¼ᡠ¾X᝕>0;X/(x)ᙠ(—8,0Àᡈ(1,+8)¼ᓫ⌴Xᙠ(0,¼ᓫ⌴gᦇ=0;X(X)ᙠ(—8,0À¼ᓫ⌴Xᙠ(0,+8)¼ᓫ⌴g1ீ<0;Xb(x)ᙠÃln(-Z),0À¼ᓫ⌴Xᙠ(8,In(-4))ᡈ(0,+8)¼ᓫ⌴g;;XF(x)ᙠ¶·¸¹º»¼⌴g---14ᑖ஺

16326.ூ2009ὃὃ(ᳮ)21.௃(⚪ᑖ12ᑖ)Bᦪ/(x)=x3+ax25ÆZÇᦪ,xwR.পAy=2x+lZÉÊy=/(x)ḄᩩᑗÊX.4Ḅ(2)VmGR5<{mx£(VX஻?+1))Ðf(x)=f\m+1)-f(m).ூM᪆௃P(1)f1(x)=3x2+2ax+1----1ᑖXM//(x)=lW,%=0ᡈ^=---------2ᑖ9x=0;X/(0)=0,»=0+lw0,ᡠ[x=0ÒᡂÔ——3ᑖஹ“2a.,8X4/2a2a./srzx9x=----;Xᵫ/(x)=yJᓽ--------1----------=------F1GW3279333^2ر2ফ×BᦪØ(x)=f!(X)-[/(/T?+1)-/(")]——6ᑖF(x)=3x2+2ox-(3m2+3Ù+2am+a+l),Bᦪy=F(x)ᙠ[ÚXV+1]¼ḄÛÜZᩩÝÞÒßḄÉÊ7ᑖXF(m)•F(m+1)=-(3m+Q+1)(3m+(7+2)---8ᑖজA(3V+஺+1)(3m+஺+2)ு0,F(w)F(m+1)<0,3xG(w,m+1),ÐF(x)=0,ᓽ/(x)=/(V+1)/(V)----10ᑖঝA(3m+Q+1)(3V+Q+2)V0,—2<3/%+Q<-1,F{m+1)=3஻z+Q+2>0,F[m)=-(3m+a+1)>0,F(x)=3x2+2ax-(3m2+3/+2am+஺+1)9x=—^•;22O1ᨵᨬᱏV(x)=—(3V2+3m+2஺V+஺+1)—<=-3(V+±*)2—!<0,å9364

164IQ2-2<3V+஺<-1;M

16527.(2009ìᙥçîẆὃ(ᳮ)21.௃(⚪ᑖ14ᑖ)Bᦪ/(x)=x2-ix+1,/'(x)\Bᦪ/(x)ḄðBᦪ.(I)Aᦪᑡ/q1E:q=1X%=/'(%)+/'(஻)(஻€%*),.ᦪᑡ/41Ḅ3⚗an(II)Aᦪᑡó1EPb=b,&|=2/õ,)(஻eN*).xi.9b;Xᦪᑡ/41Zᔲ\`÷ᦪᑡøAZXù.úᦪᑡ/41Ḅ3⚗ûAÒZXùü{ᳮᵫ1"1?ii.9¼<6<1;X.

166a94L;Xb=—.71222Ꮇÿmᓺ=4.ᵫᦪᦪᑡ஻ᦪᦪᑡᦪᑡᐸ⚗4=..............8ᑖ(ii)..%=2b1—d+2sÚ/....<4<1b2>bஹ>3.Ꮇ"4>,#ijb>b>^.Mkᵫᦪᦪᑡ4>(஻=1,2,3,…)...................................10ᑖ%,J”,+1-1=2b.(b-1),n111•___________—_______________,•ub-L~bU-1bUn+\2n2n.£'()-4+=±-ᔆ-i=ia1t>Tb-1Ḅ/0b-1;=Mn+l,1h>QG.S112../—<=.14ᑖi=\ab௃T26-1

16728.ூᜩ5678/92008:2009;<=>ᨴὃ(ᳮ22.௃(CD⚪Fᑖ14ᑖ+GHIᦪf(x+=-(x£R+ᙠNOPQIᦪ(I+STᦪaḄVᡠXX2+2ᡂḄ\ᔠA(II+"ᐵ`xḄabf(x+=ḄcTᦪ᪷Xiஹx.2Xgh0ᔲjᙠTᦪm,mnom?+tm+1>|XI-x|uvwa£Axt26ឤᡂ{|}jᙠSmḄ~V}njᙠ,ᳮᵫ|ூ᪆௃0(2x-a)(x2+2)-(2x-a)(x2+2)_-2(x2-ax-2)(2ᑖ)(x2+2)2(x2+2)2IᦪfxᙠNO-1,1PQIᦪᡠfxN0ᙠNOឤᡂ{ᓽᨵx2-ax-2<0ᙠNO-1,1Pឤᡂ{஺᪀⌼Iᦪgx=x2-ax-2g(l)^0n1—a—2W0..F⚪wḄᐙ⌕ᩩ:£(7)400=>—10ᡠabឤᨵc¢nḄ᪷XiஹX2ᵫ᪷£¤ᦪḄᐵ¤ᨵ:<'2=1X[-X21=J(x+x)2-4x^2=7a2+8.......(9ᑖ)12Xjxx=-22a®Aᓽa®[-1,1],ᡠ|x[-X2|=Va2+8<3⌕mnom?+tm+l>|x,-x|2uvwa£Ax¥ឤᡂ{¦§m?+tm+123uvwḄ¨[1ªឤᡂ{……(11ᑖ)᪀⌼Iᦪ(p(x)=m2+tm-2=mt+(m2-2)K)uvwḄឤᡂ{Ḅᐙ⌕ᩩW)>0m+m-22°nᖽ2ᡈmS-2.ᦑjᙠTᦪmF⚪w¦=>(H—1)>om+m~-220{m|m>2ᡈmg-2}ᡠS(14ᑖ+

16829.ூ²³ḕµ¶6<->ᦟ¸¹º»ὃg(ᳮ)22.௃(CD⚪Fᑖ14ᑖ)ᦪᑡ¼“¾ᦪᑡ4(஻eN+)ᵫÁᑡᩩÂÃ0জ4<0,4>0ঝÆ22Ç£4F᝞Áᩩ0ÉÊL20=%É=%(᝛^^<஺Î=^^±É=Ð1஺ÑÁᑡh⚪0(I)ÒᦪᑡÓ/4Ôᦪᑡ(II)Sᦪᑡ¥É-q)ḄÖn⚗¾S,,(III)22)F4>ᡭ>…>஻Ḅᨬᜧ᦮ᦪᵨq,4⊤ÞnḄFḄᩩ஺ூ᪆௃0(I)Îß%20Û-ak=2Ü-a-=Ý7-aQÉ0,ᦑᦪᑡ4-4Ôᦪᑡ(H)ᵫ(I)H"/%=([—4)(yiᦑ஻(஻-%)=(4-q)ᑶcz,ஹî23H-1nஹs“=(4/q)(1+5+^+…+`£+ò)21c஻ஹ/123n-

169ஹᡠ/=®-q)(5+>+»++õ+ᡭ"1cîஹî111nஹᡠ=(/),-tz)(l+-+^+--+^--),1r7T12ns,,=(A-ᓺ[4(1-^)/Á௃(III)4>4>…ுb“(஻22)b®b_(2

170ᵫঝH"z1k-\<0nᡂ{,ᦑXT4T20úòu`2WÆ-஻,ᨵ4=%T4="T:"I`4=%-••=%,ᦑ”=q+(4_q+5}"""'=<4+3+(4-2ý"]}=q+4-qJ,320,ᑣ6,=…22b"+b,={4+,/}{஺1+4-q^?}=_4_£b“,$%n'()4>b>…>b஻>2Ḅᨬᜧ᦮ᦪ01஺2n23n'()<0Ḅᨬ4᦮ᦪ526@+%<00q+4-q—<0o-——<2"olog-~—

17130.ூCDE2009GHIᓝK᪥ὶὃOPQᔁᳮ21.௃U⚪20ᑖ5X14⚪(ᑖ4ᑖ5X24⚪(ᑖ6ᑖ5X34⚪6ᑖ5X44⚪4ᑖᡃZ[⍝5ᑨ^_`%ᙊḄbcᐵef!ᵨᙊhᑮ_`Ḅjklmᑨn5op_`%qᙊḄbcᐵeᨵstḄᑨnuvᔩxyz{ZlmẆ}~ᡂ☢⚪஺1ஹF?'qᙊM+ᓃ=1Ḅᯖ5ᵨஹF?ᑮ_`=0259Ḅjkᑖnজஹd,Qজ-d?Ḅ5~ᑨ^_`L%qᙊMḄbcᐵe஺22F,.F?'ᬰᙊ஻£+=1஺ு6ு0Ḅᯖ5RஹF?ᑮ_`a'b~L:mx+ny+p=Q"ஹ஻z0Ḅjkᑖnஹd,_`L%qᙊM¡ᑗ52Qd,•dḄ஺23Qᑏ¥¦ᑨ^_`%qᙊḄbcᐵeḄᐙ⌕ᩩ5~ª«஺4¬3®¥Ḅ¯°s±ᑮᐸ³´`5yz{Zµ¥¶·Ẇ}Ḅᨵᐵ¯°¸ª«஺ூ¹᪆௃21.U⚪20ᑖ5X14⚪(ᑖ4ᑖ5X24⚪(ᑖ6ᑖ5X34⚪6ᑖ5X44⚪4ᑖ/JJI-472+V5||4V2+V5|Anপ±ᑖ=s^---------¥=9,...........2ᑖ*VὶÀuÁ259—ÂÃÄf®59'+50ÆÇ100=0;.......3ᑖJ2x-y+y/5-0A=50V102+4x59xl00>0,ᡠ!_`£%qᙊM¡Ë஺.......4ᑖA22+ᓃ=12ὶÀuÁÌ322~,bmx+ny+p-0ÂÃ169

172ÍfÎ/Ï2+/"2)*2+2/Ð*+/(p2-b?1)=0,(*).............6ᑖA=(2a2mp)2—4(a2m2+h2n~)a2(p2—b2n2)=4a2b2n2(a2m2+b2n2—p2)=0Ó|ᔉ=a2m2+b~nn..............8ᑖ2qᙊᯖ▋-C,0,gG0,ᐸÖ2=/_2.b|-mc+p||mc+p|_|p'-rrrc2\dஹ.d2J??+×2JØ+/2+«2w|a2m2+b2n2-nTc~\_2..mÐ2+n23F”F2'qᙊM=+4=la>6>0Ḅᯖ5F|ஹF2ᑮ_`ab£:Æx++p=0Æ5஻z0ḄjkᑖnজஹdFiஹF2ᙠ_`LḄzà஺op_`L2,%qᙊ¡ËḄᐙ⌕ᩩd-db2……14ᑖ2ª«ᵫ2®5_`L%qᙊM¡Ë0*AAOO/஻_`£%qᙊM¡ᑗ=ᡝ.........16ᑖå⚪®ª஺ᑏ¥ᐸæḄᐙ⌕ᩩç®2ᑖ5èᢣ¥“RஹF2ᙠ_`LḄzà”®3ᑖ224f!s±ᑮë´`FiஹF2'ë´`M-ᓃ=1Ḅᯖ5ᐺஹF2ᑮ_`a2b2L:/wx+஻y+p=0"?,஻z0jkᑖnd»d>F|ஹF2ᙠ_`LḄzà஺op_`L%2ë´`¡ËḄᐙ⌕ᩩd-db2...........20ᑖ]2ᑏ¥ᐸæḄᐙ⌕ᩩç®2ᑖ,èᢣ¥“BஹF2ᙠ_`LḄzà”®3ᑖ஺ᢝòóôõᓄ……170

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