专业文档_高考数学压轴题精解100题

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1753.ÄÅÆÇÈḄÉÈᙠᵬ>ËÆÌÍÎÏÐÇÈÑᵨÒᑖᑴÇÈÔᑣÔbÖ×ØÙ2ᑖÚ×ØÙ1ᑖÛ×ØÙ0ᑖ-ÇÈᐳÝÐÞØÒᑖᨵß25ᑖὅÇÈáâᔲᑣãäÝÐ.᪷æçèéêᕜᵬÖḄᭆ᳛,ÖḄᭆ᳛,?êØÇÈÛÖíTî23ïð.JᵬñnØÖஹÚஹÛḄÙᑖᑖ6ò*=2ஹ*=1ஹ%=0஻eN*,l<஻K5,óS”=஺|+e+…(I)(S3=5Ḅᭆ᳛-(II)J÷xøùᱏ7=7⊤ÂØᦪ)(JḄᑖüᑡwᦪýþÿ.54.᝞/ᱥ=4yᑗP(2,1),xA,BḄᙶ᪗%(2,0).(I)()M+,-•/+Jᧅ-30,4MḄ56C8(II)(9BḄ/'(;᳛=>?)(DAḄ56C=BḄCEஹF(EᙠBஹFHI)J4AOBEAOBF☢MHNḄOPR.2255ஹAஹ8TUᙊJ+W=l(a>b>0)Ḅ\ᩩ^_2,1)TABA`M%ᯖ,a2b2`UᙊḄbc%dcḄef48M4,-1).(1)hefḄij᳛e,Jle⊤n%UᙊḄoppḄqᦪ.(2)sUᙊḄij᳛TefḄij᳛Ḅ᎔ᦪu4UᙊḄvw.(3)4yUᙊppḄOPR.

1856ஹ{/(x)=-j4+4■ᦪᑡ%Ḅ/஻⚗%S“&(a“,--)ᙠfVxan+Hy=f(x)_h(neN"),=1,a>0.n(1)4ᦪᑡḄ⚗8TT(2)ᦪᑡḄ/“⚗%7“+,W>=—4+16/—8஻\3,hḄP%+iᦪᑡT>ᦪᑡ8(3)4{S“>Lj4“+l-l,஻eN*2

1957ᦪᑡḄ/n⚗%Sn¡+,a1=2,nan+i=Sn+n(n+1).(1)4ᦪᑡ஻஻Ḅ⚗8(2)hT,%ᦪ£U¥Ḅ/஻⚗458ஹᔣ§஻?=(',W-)(஺ு0),lqᦪ/'஺)=!஺/\஺Ḅ¬ᢥᔣ§1®¯°ᑮq11a2a2ᦪg(x)Ḅ¬஺(I)4qᦪg(x)Ḅ⊤³8(II)(qᦪg(x)ᙠ´&,2µ¶Ḅᨬ¸P%஻(4),4¹(4)ḄᨬᜧP஺ᑍ;»¼½ABC-A/iGḄᔜ¼pᙳ%2Á¼BBKÂ☢ABCᡠᡂÅ%-,Á☢_LÂ☢A8C.(1)Æ{ᵨᙠ®☢ABC¶ḄÈÉ஺%ḄA(2)4Ê☢ÅC-4ᵨ\8Ḅᜧ¸8(3)4Gᑮ®☢CB|AḄÌi.C

2060ஹ᝞ͼ┵S-A8CDAAS4OTÏp%஺ḄлÅÑ®☢&4஺_L®☢A8c஺,ÍÏÑABC஺%ÓÑZDAB=60,P%AOḄA஺%SBḄA.(I)4{PQ஻®☢SCO8(II)4Ê☢Å8-PC-QḄᜧ¸.61.hÕᔠWT+,ØᑡCÙᩩÚḄÛÜᦪᑡa“ḄÕᔠ:জß,àáWJ8ঝ4M.ᐸA஻wN*,MTnÛᐵḄæᦪ.(1)(T>ᦪᑡSnTᐸ/n⚗Ḅ,a=4,S=18,Æ{S/eW33(2)hᦪᑡáḄ⚗%2=5஻-2",çeW,4MḄOPR;(3)hᦪᑡ`Ḅᔜ⚗ᙳ%Ð᦮ᦪ%eW.Æ{c„08(2)sk22uy“+,᝞ØᩩÚ{s"*110u,%=%,,=s%1+᝞ீ°u,%+%,P=PQ242*IòóØᑡô⚪{(I)Æᦪᑡ%—4T>Nᦪᑡ8(H)÷ᦪᑡ”(ù\%)Ḅ/஻⚗%S“(sa>lulimÊ■=(),4limS”.(Ill)"("22)T+,û>4>…Ḅᨬᜧ᦮ᦪuᵨ4஽⊤n஻+,ḄᩩÚ.

2163.qᦪ/(x)=lnxd-\-ax,x&(0,+oo)(aᦪ).(1)a=0/(x)Ḅᨬ(2)/(x)ᙠ[2,+8)ᓫ"#ᦪaḄ$&(3)(ᔜ⚗+Ḅ,-ᦪᑡ/0lnx“+—5678,Wl(neN).x,,+i64.(#ᦪf(x)=x3+ax2+bx(x>0)Ḅ=>?@Ay=4DᑗF"(1,4).(I)/(x)=V'+"2+6xᙠLM(0,4]Ḅᨬᜧ?ᨬ(II)ᔲQᙠRSTU+ᦪsj($<)xe[sj]#ᦪ/(x)=/+஺[2+\Ḅ]^[sj],Qᙠ_ᡠᨵb᪵Ḅ+ᦪs/TQᙠde6ᳮᵫ(IID(QᙠRSTU+ᦪS,f(S

2266ஹ(#ᦪ/(x)=(l+x)2-21n(1+x).প/(x)Ḅᓫ"LM(2)xe,(ᐸwe=2.718…)TU/(x)8>0)Ḅ᳛¢@A/7y=x+2?£¤ᙊஹra-b-3ᙊC,Ḅ¥¦§¨¦©ḄᙊODᑗ஺(1)ᙊGḄ(2)(ᙊCiḄrᯖF”«ᯖF2,@A{¬Bᚖ@FᙊḄ¨§¯@A6ᚖ@Fᚖ0PA°PF2Ḅᚖ@±ᑖA³AFM,MḄ´µQḄ(3)(C2?x§³FQ,T¶ḄRRஹSᙠC2/0·•¹=0,IQSIḄ$&஺

2369ஹstFiEᙊC:¾+==1(a>b>0)Ḅrஹ«ᯖP(—¹,1)ᙠᙊAa~b~°PF2?y§Ḅ³M/0PM+F\M=0஺(1)ᙊCḄ஺(2)ᙊCÃįM(Xoy0)ᐵF@Ay=2xḄÅÆMi(x1,)3x|4yiḄ$yi&஺x2270ஹstA,B,CᙳᙠᙊM7=15>1)@A43ஹACᑖˬᙊḄr«ᯖ,—•,,Ä3..2FrF,AC•ᱏz=0ᨵ94ÍÎÏ=4ÐÑ.2(1)ᙊÒḄ(II)(PᙊMḄÃÄE᜛ᙊN:x2+(y-2)2=lḄÃÄᩩ@©Õ.᪗Ḅᨬᜧ.71.᝞=A(஻z,Ú8(஻,-Û)RᑖËᙠÜAOSஹ0T߯,o•à=—*஺ᙶ᪗¤¯P/0ã=ä+à.(I)Ò•஻Ḅ(H)PḄ´µCḄåe6æ⊤èé᪵ḄAê(III)@A/¬E(2,0)³(II)wACFMஹNRë=3#/Ḅ.

24,,1,72.st#ᦪf(x)=—/+alnx,g(x)=(a+l)x(aH-1),"(x)=/(x)-g(x)஺2(1)#ᦪ/(x)ஹg(x)ᙠLMí1,2Ñîᓫ"#ᦪæïḄᓫ"ឋD¶ᦪaḄ$&(2)aஹB#ᦪ”(x)ḄRS᩽aTU1஻(/)Ä”(÷2)1<1ᡂ73.(/(%)øùᙠí-1,1ÑḄ᜻#ᦪÄlWx<0/(x)=2x3+5ax2+4a2x+h.(I)#ᦪ/(x)Ḅû᪆(II)l

2574.stᙊCḄw¤/(1,0)æḄÄSᯖ@A/¬Ð?ᙊ஺³FA,8**5R@A/ᚖ@Fx§஺4஺8=þ.6(I)ᙊCḄ(II)ᔲQᙠ@Aÿᙠ
ᙊCḄᑮP,A43P.᝞ᙠ!"/Ḅ$%&᝞'ᙠ()*ᳮᵫ.75./0ᦪᑡ3a“6/=—,a---;11----(஻>2,nGN).n4(-1)"%-2(I)ᦪᑡ3%6ḄD⚗FG*&(ii)I஻,=—!ᦪᑡL6ḄM஻⚗Ns.&%(Ill)Ic“=*sinT/ᦪᑡ3c“6ḄM஻⚗NUVWXYḄweN*,

2676ஹ/0^ᦪ/(x)="2—x—)0"(4*0)a(1)ay=/(x)ᙠc1(0,/(O))ᜐḄᑗ$%(2)g஺i0j^ᦪ/(x)Ḅᓫlmn(3)g஺ு0jp'qG/(X)+3NO,WXC-s,+oovឤᡂy஺Ḅz{}஺QL)X—(L77ஹ/0^ᦪ/(x)=^——ᐸ஺ᦪ.Inx(1)ga=2jay=/(x)ᙠ(2,/(2))ᜐḄᑗ$%;(2)ᔲᙠᦪa,WXYxe(0,1)U(1,+8)/(x)cឤᡂy?p'ᙠ()*ᳮᵫpᙠ!஺Ḅ{U*.1778ஹ/0/(x)=lnx,g(x)=X2+x+^Qz?i0,"/^ᦪ/(x)ஹg(x)Ḅᑗ^ᦪ/(x)ḄḄᑗḄᙶ᪗1஺(I)"/Ḅ$%Ḅ{&(II)p஻(x)=/(x+l)—g'(x)(ᐸx)g(x)Ḅ^ᦪ)^ᦪ(Ḅᨬᜧ{&(III)g0cbiaj¤¥Va+Z/g+ZO8+2q/(2a)Ḅᜧ¨

2779ஹ/0ªᱥCV=4¬Ḅx®¯M±M²᳛ᦇḄ"/ªᱥC®¯4ஹ8µ(AᙠMஹ8¶n).(1)·ªᱥCḄᯖpIAM1=3IAfi,kḄ{&4(2)᝞ªᱥC»ᙠ஺QAJ_Q8,¾¿Ḅz{}.80ஹᙠÀ☢"ᙶ᪗Â/0ÃᙊF("—1)2+/=1ᓛᙊÅ)Ã"1V”=2,ÇᙊFᑁᑗN"௃ᑗḄËᙊP,(1)¾ËᙊᙊÅPḄÌÍEḄ$%஺(2)I±ÃᙊÅFḄ"ÏÐÑÒÓÔ®ÌÍEÃÕF¯AஹBஹCஹD,জᔲᙠ"ᑴ⚚34=2ÛCᡂyÜpᙠ(!Ýᩩ"Ḅ$%&p'ᙠ,()*ᳮᵫ஺ঝg"ᵨáFâËj•3'1°ᑮḄ{ᔲÃ{Üp(!ÝåÃ{&p',()*ᳮᵫ஺81./0^ᦪf(x)=x2+mx+nḄ±(1,3)+x)=/(-1%)WXYᦪᡂy^ᦪy=g(x)y=/(x)Ḅᐵ¯çWè஺/(-l+x)=/(-1-x),/প=3

28(i)y(x)g(x)Ḅê᪆G;(H)p·(x)=g(x)—4/(%)ᙠí-1,1vî^ᦪᦪᐭḄz{};82.Iᦪᑡ3%6,3஻,6a=b=6,a=b=4,a=b=3,ᦪᑡ34”+v-a”)(஻eN+)tt2233qðᦪᑡᦪᑡñ,-26(஻eN+)q¤ᦪᑡ஺(I)ᦪᑡ3%6N3&„6ḄD⚗FG&(II)ᔲᙠZeN+,4-4e(0,g),pᙠ!k,p'ᙠ)*ᳮᵫ஺2s283.ᦪᑡ3a“6Ḅ✌⚗õ=1,Mn⚗NSõ¶na=-----(஻>2).nn2S“-1(1)UVᦪᑡ3ø-6ḄD⚗FG;S”(2)Iᙠᦪk,(1+S1)(1+S2)…(l+s,,)2᝕ᢈITWᑗneN*ᡂykḄᨬᜧ{.

2984./0BஹF?ᑖþ
ᙊÿ+\=1(஺>0/ு0)Ḅஹᯖᐸxa~bN,=2",11=2.%AஹB()*+ᙊ)-=2᪗Ḅ-ᐸ/4€23,34.53(1)78+ᙊḄ9:;<ABḄ=᳛Ḅ?@BC(2)%AஹB-ᑖEF8+ᙊḄᑗ-ᑗ3P,7IJPᙠ3ᩩM<)7PḄNᙶ᪗Ḅ?@B.3285.QRSᦪ/(x)=ln(x+—)+—,g(x)=Inx.2x(i)7Sᦪ/U)(ᓫ]^_C(2)᝞aᐵXḄ9:g(x)=gx+஻1ᨵfᦪ᪷7fᦪhḄ?@iᔠC(3)(ᔲlᙠmᦪk,opᐵxḄ9:/(x)=Zg(x)ᨵ-rstḄfᦪ᪷u᝞alᙠ,7kḄᩩvC᝞aslᙠwxᳮᵫ.86ஹQR|ᱥV=2px(p>0)Ḅᯖ/⏚/A(4,0)|ᱥP,஺-.

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3189ஹQRᦪᑡ¯%±Ḅ²n⚗´S“¡3ᑗm᦮ᦪn¸ᨵS“=/?+C(1)IxJ/ᵨ+%=4”+2C(2)7ᦪ¼()¯*±Ḅ¾⚗¿À;7IJ/(஻+1)

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3396.UVᦪ/(x)=ax2+bx+l(a8!9ᦪ),F(x)=(/")">°)[-f(x)(x<)(1)K/(-1)=05679ᦪᙳᨵ/(x)20ᡂJ-.(x)⊤2(2)ᙠ(1)ᙠᩩ-)xe[-2,2],--g(x)=/(x)-kx@ᓫVᦪ-.9ᦪkḄrMt2(3)Umn<0,m+n>0,஻>0/(x)!ᏔVᦪ-4Q/(஻?)+/(஻)>0.97.ᙠ☢ᙶ᪗ᑁᨵὡஹ¡¢£P,Nᵨᙶ᪗ᑖd!ᱏ(TQ)ஹF(tO)-2£Pª«¬=Y2,£PḄ¯°!#$C,#$Cᐵ$y=xḄ5²#$!#$IPFI22C',⏚´='+mg3#$©'¶ஹ8-0@ᙶ᪗·-^¶[30Ḅ☢¹!º-(1).#$CḄ012(2).mḄM஺98.ᦪᑡ¼&“¾,«,=1,a“+|=2஺"+3஻("wN*)প@ᔲBᙠ>ᦪ2ஹ஻-EÃᦪᑡ",+2+஻7¾@ÅÆᦪᑡ-KBᙠ-.Lᐭஹ஻ḄM,KNBᙠ-PQᳮᵫ஺1Si+%+%+…+"-4Q)<2,,—^—-

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X2—50%2X+125᝕2—20=0y=k
x-5õ⚪÷ø=20®16—80᮱¯ு0,Gú<᝕<û"—¹<᝕<-&/ð¶C®XiVi¯ஹ஺®l26¯CDḄ{¶6R®X஺,,50k2x,+x,25k2ᑣ%,+x25k+4°25&2+4-20k_,____5=ÕJo=ZUo5=51+4IF2cl=IF?DI=F2Rb1QkkQ,R=-10ᐗ420•k•kFK25k24-20k21-5FT4.\20k2=20k2-4,20k2=201?-4ᡂ!ᡠ#$ᙠ&'/,)*RCLEDI/0ᡠ1$ᙠ&'/,)*IF2cl=BDI7,415⚪78'M:#;P=ᯖ;&'/=?'ḄAᱥ'ᡠ#8'MḄCD=y?=4x.ফপᵫ⚪7*,&'ABḄCD=y=-V3x-1ᵫ1yXTOPy*3X2-10X+3=0,4*X1=Lx,=3.ᡠ#A±R,83,-26,1ABl=x,+x,+2=—.3333ᎷW$ᙠ;C—l,y,)AABC=XYZ[ᑣIBCMABI]IACMABI,ᓽ+l+y+2f-`ab*42+c+2d2=42+c-e2,4*c=fgh,i§+l2+y2=/

40kl&'/0$ᙠ;C,)*aABC:XYZ[.ii4oWC1,y)AABCᡂpZYZ[,ᵫ1q᮱XT*y=26,lsA,B,CY;ᐳ'ᦑyc2ᢈIAC|2=-l-x2+y-y2=z{+y2,|AB|2=?2=^339339,~IBC|2>IAC|2+IAB|2M|328+46y+y2>—--y+y2+fᓽy>26s,9399/CAB=pZ.~IAC|2>IBCF+1ABF,ᓽ-y+y?>28+46y+y2+zy<"ds/CBA=pZ.3IAB12>1ACI2+1BCP,ᓽ>+y2+28+4d+y2ᓽy2+gzy+24oq#AB=&ḄᙊḄCD=x——2+y-+—V32=»2ᙊ2,—ᑮ&'L:x=-1Ḅ=»333333.ᡠ##AB=&Ḅᙊ&'Laᑗ;G-l,.~&'/0ḄC;G¡ᔠsNACB=&Z~CG;¡ᔠ]A,B,CY;ᐳ'sNACB=┦Zᓽ^ABC¤/ACB:pZ.kl⌕)AABC=pZYZ[¦:NCABᡈNCBA=pZ.§;A]ABᚖ&Ḅ&'=:yy=*x-x.ªx=—1*y=«§;B]ABᚖ&Ḅ&'=y+2¬=#x-3,ªx=-1*y=~73ᵫ0q¯9X-14*y=26,ᡠ#~;CḄᙶ᪗=-1,2dsA,B,CY;ᐳ'᪀ᡂYZ[.kl~±ABC=pZYZ[s;CḄᙶ᪗yḄ:

41ஹ³-´µµ¶"2ᢚ.8ஹ4:(1)ªa=b=O,ᑣf(O)=[f(O)½f(0)¾.•.f(O)=l(2^a=x,b=-xᑣf(O)=f(x)f(-x)x.f(-x)=——f(x)ᵫÀÁx>0sஹf(x)>l>0,~x<0s-x>0,f(-x)>0£3)=^—>0*=0sf(0)=l>0f(-x):.ÃÄ7x£R,f(x)>0(3)ÄX2>X1ᑣf(X2)>0,f(Xi)>0,X-X1>02^^=f(x)-f(-x)=f(x-X])>12l2f(X1)...f(x)>f(X1)Af(x)ᙠR0:ÆÇᦪ2(4)f(x)-f(2x-x2)=f[x+(2x-x2)]=f(-x2+3x)l=f(O),f(x)ᙠR0⌴Æᵫf(3x-x2)>f(0)Wx-x2>0/.00g(-2)=l-56<0=Í<%<]]g(0)=-1-b<0gপ=&+1>0ᓽ(2)ªu=/(x)஺log%Mᙠ(0,+a)):bÇᦪ-1-c=2ᓃ>-b,Çᦪ஻x)=X?+2bx+cḄÃÔÕ=x=-b^./(x)ᙠÖ×(—l-c,l—c)0=ÆÇᦪØE(x)=10g/(x)ᙠ(141-0,¦◤/(—1c)N0,]c=—26—1('

422xI10ஹ4(1)•.T+xxN2lxI/.I---ßKIXx.=—.஻"1+ᱏ12/0)=/â)=-1/(x“+i)=/(R)=/(-^±^)=/(x“)+/(x“)=2/U„).l+xl+x“x”åæ=2{/(x“)}:#-1=✌⚗#2=ëḄzëᦪᑡᦑ/1(x,,)=-2"-'/U„)(2)ᵫ⚪Wᨵí0)+/(0)=/(î)=/(0),ï(0)=01+0Y—YXe(-1,1),W/U)+/(-X)=/(-~-)=/(0)=0,1-X*/(-X)=/(%),ᦑÁ/'(X)ᙠ(U)0=᜻Çᦪ.ᵫ[11[=]=(A+1XA+2)=rn-^T2+3Z+1-(õ+1)(õ+2)-1qYᔆi3Z1-÷+1)÷+2)~(k+1)(%+2)1øù+«£=/ᵫû+*/(k2+3k+l«1111:üE77)="5f4)="ý)ᦑ1+þ)+ÿ…++U.1Cx,y,•.•+=2ᵫজ=—2GABCḄG(-,-)2ᑖ33XᵫঝM(aABCḄ᜜+.Mᙠx-ᓃᵫঞM(--0),3

43ᵫIẆI=\MA\3v.2ᓄ6᦮ᳮ39—+/=1X<(6ᑖ)32(2)F(V2,0)ា@+A=1ḄBᯖD35PQḄE᳛"0GkHᑣJKPQḄLMy=kx-V2
2id?—+6ᐭ3=஺ᵫN-nl6W26/Y3P(x>yD,Q(x,y)XUxi+X2=------Xl-X8ᑖ222+13/+1ᑣIPQI=y/\+k2-Ja+஽)2-4X1.6k2-32A/3(A:2+1)Jl+\3/+13k2+11-7-73a2+1)RN_LPQ,]kᣚᡂYY3IRNI=-10ᑖk3+a6(b+1)218.-.S=-IPQIIRNI==2-~21)2(3/+1)(/+3)3(e+/)+10183(9/+r)+10=——k22-Si83-,-k2+—7>2,---->16,^.-

44ফJ=4&+%•'6Z|=—஺2஺3,…%~ᜧ012‘%ு0%+1>a”1111_____1_.11____1_%+i+4஺“(1+%)%\+a'l+aa,,annn+l1+Q]l+஻21+%a\a2a2஻3anan+\:=(+)?+g=?“3=(1)2+[>1i•••஻N2a>an+in஻“+]2஺3>11<2--------v2,1

45well1n,o11z111ஹ111ஹS=—஺+—+…+-----,XiJS<—+-(—+—+•••+—)=—+-(S---------)2஺3%+1«22aaaa2a23n2n+l13ᑖ1212S<~——---———------<—14ᑖa2an+l3ᓽ+i314.(b⚪ᑖ16ᑖ(1)jQ=1ng(x)=+g%2+5,gf(x)=-X2+x+c......................1ᑖg(x)ᙠ(ߟ1,1)@ᓫ⌴¡¢ᦪg'(x)£0ᙠ(ߟ1,1)@ឤᡂ¥.......2ᑖ/.—x~+x+c£0ᙠ(—1f1)@ឤᡂ¥................3ᑖ/.c>2...............................................................................4ᑖ(1)/(X)•=+'.+)(2)g\x)=/(x)ᑣ

46,:A^•஺(19•ᓽ¦£(<௃]•jª=2nᐙᑖ¬;1c..[o,1]n/(x)Wc+I.4®⌕ឋª6[0.±n./(²)(1,³6(0.1],Laফµ¶¢ᦪ/·Ḅ¸¹º±ᔣ¼.½¾-LMτ2ஹ£6(0•¿ᱏ1~1,1J.h+1ᓾ•ᔆ.I/JÁ.U/(k>=0ḄÂ᪷a/ᙠ[Y௃•௃Jᑁq.I#i&I/(1)£0.J4q!*0,f(0)=13ᑖ•.•f(2)=f(lx2)=[f(l)/=4,if(x)>0.•.f(l)=2,f(—l)=f(l)=23ᑖফ2kx+2ஹkx+2'kx+2ஹ'Ñ+2|ஹf>2«/2>2o/2/(±1)=/2&+4,<2+4Vx2+47X1+4,7<>ijx20nᐸÓ¢ᦪ/'(x)ு0ឤᡂ¥.y=/(x)ᙠÔÕ[0,+8)@ᓫ⌴¡¢

47ᦪ>1<=>|bc+2|>y/x2+4=(k2-l)x2+4kx>0VX2+4জjØ=0nxe{0}+C4Z-A4krALঝjY1<஽<0nxx-----y<0---y0

48TTSTTSTTflx-,—G(OM).Oᯠ$%&ᦪ'
(&%)*Ḅ%,-.266411&=1,QR=ST112=,45'
67(&%)*Ḅ%,-ᦑF(x)4;“<26262v)%)*=ᦪSTZ*W(F☢JKXA=—Z/(x);“<%)*=ᦪ”.654\6]%)*Ḅ%,a,^c,Ha,4c£(0,——),ᑣᑖ`ab᝞J:6(1)஺+/?+஺...2f,gZ஺2h(஺(cு2%('(⁐=mnᳮ/?,(?>—,6633:.ahcsG`ᦑsina,sinb,sinee(—,1],sin«+sin/?>—+-=l...sinc.36222nᳮKᐸrst.Jsina,sinb,sin஺'
u&%)*Ḅ%,-.(2)a+Z?+c<2)a+hcgZ——+—ீh᝞Jswxyz22a+b7ᐔq/0,c"ca+b—ᐔ----W(Zᵫ~a+b>c,ᡠ0<(<-----W—.222227TCct-\-hᵫsinxᙠ(0,-1Ḅᓫឋ0cos—>cos——>0,22212..,".a+ha-b.ccsintz+sin/?=2sin------cos------>2sin—cos—=2222nᳮKᐸrstᡠsina,sinsine;u&%)*Ḅ%,-.ᦑA=2•Z,6*x);“<%)*=ᦪ”.54AḄᨬᜧB
%.6

4918ஹz(I)S=-----(q—1),'4=a,Za~\”22Z=S“-S,i=V஺,,-V஺…a-1a-\/J=a,ᓽ;ᦪᑡ.^.a=a-a"-'=a"n.............................4ᑖn2-a*(D“=(3a-l)a"2a(H)ᵫ(I)!b=—^H"
ᦪᑡ,n(஺-1)3஺~+2a+2ᑣᨵbn=bo,Q4=3,/?=?"2=2a2aᦑ(ᓽ¡2¢=3.3஺~+2cl+2,a=—7ᑖaa23£¤4=,¥ᐭa=3"ᡂ¨,3"ᡠQ=1...............8ᑖ3(III)KXzᵫ(II)!4=(1)"ᡠ%=—13"3ᔣ-1------z=--------1----z—31+/ஹ“,3"+l3n+l-lª1-(P3"+1-13ᔣ(1+1ᑴ-+1+®ᓃ=-----------1-------z------3"+13,1+|-1=2.(«(-(«),9ᑖ3"+13"+'-1°11111111ᵫ----<—,3ᔣ-]²p3"+]_3ᔣ_]´%(µ’3“+13஻13ஹc/11ஹᡠc஻=2-(•-------------i)ு2—(-)12ᑖ3"+13n+,-13஻3,,+,·Q7=c,+c+---+C,,>[2-(g_/)]+[2_(\_*)]+…[2-(?(¸)]2=2஻(0!)++…+(----------)]3"3ᔣC,11ஹC1«2஻((-------)>2n——.33ᔣ3ᓽ…஻-514ᑖ19ஹz(I)q=2,a-2+c,%=2+3c,º
q,a,%ᡂᦪᑡ,22ᡠ(2+c>=2(2+3c),c=0ᡈc=2.

50c=0Za=a=a,4¼ᔠ⚪]¿Àᦑc=2...........4ᑖ(ᦻ6ᑖ)}23(II)஻22Zᵫ~4-4=cÂ(஺2=2஺...a-a_=(n-l)c,ᡠr-a=[1+2+•••+(n-l)]c=c஺nn}[q=2,c=2,ᦑ%=2+஻(஻-1)=/(஻+2(஻=2,3,•).n=lZtᡂ¨ᡠa—iv—஻+2(஻=1,2«•)........8ᑖn(III)b=32n-2-3n-'+2,Alim=9.........12ᑖ11஻T0°Ã“NP=2NQ,…20ஹAz(1)_,_,ÄnQ
PNḄÅÆRGQLPNGQ-PN=0=>GQ
PNḄÅᚖÈ=>IPGI=IGNI...GN,GMNMP96,ᦑGÆḄÉÊ;MஹN
ᯖÆḄÌᙊᐸ-ÎÏ-஺=3,ÎᯖÐc=6.•.ÑÎÏ-b=2,...ÆGḄÉÊFÒ;«+«=1...........5ᑖ94(2)º
OS=04+஺6,ᡠÓ,*OASB
ÔÕÓ,*Hᙠ/IOS1=1ABI,ᑣÓ,*OASB
Ö*^.OAOB^Ox=2(x=2H/Ḅ×᳛4ᙠÙÈ/ḄFÒ
m2,ᵫJ220s—+^-=1y=±Ú9433•(16—*—►OAOB^—>0,Û0408=0ÜÝᦑ/Ḅ×᳛ᙠ........7ᑖ9ÞIḄFÒ
y=k(x-2),24(%],),B(x,y)22y-k(x-2)ᵫ<2y2=>(9Z:2+4)x2-36k2x+36(k2-1)=0x—+—=119436k236/2_1)Xj+x-----,x.x=-----------জ29k2+4229k2+4ß
=à(ᓰ(2)]â(£-2)]

51=k2[xx-2(%!+X)+4]=---ঝ.........9ᑖ[22,3çজஹঝ¥ᐭx/2+=஺%=]ᙠÙÈ/:3x—2y—6=0ᡈ3x+2y—6=0Ó,*OASBḄ\)Èë.21ஹì1íABÅÆ
ᙶ᪗ðÆABᡠᙠÙÈ
xÏñ¨Ô☢Ù)ᙶ᪗òᑣAì-3,0í,Bì3,0í,Cì5,2õᑣ|AC|=Jì5+3í2+ì2hT=2MkmᓽAஹCs&ᦗùÅúḄÐû
2Mkmì2í'^\PC\=\PB\,ᡠPᙠBCÈýḄᚖÙÔᑖÈ,.,IPBI—IPAI=4,ᡠPᙠAஹB
ᯖÆḄþÿḄ|AB|=6.•.^-=1%<045V7BCḄᚖ$%ᑖḄx+V3y-7=0ὶ,-./0x=—838,5ᨵk=tanZPAB=-43pA...NPAB=120஺ᡠ>P?ᙠA?ḄᓅBC30஺ᜐব᝞GHI0=J|PB|x,\PA\=yV\QB\-\QA\=^x2+h2-^y2+h222L=(X-y)•L5/x2+h2+yjy2+h~Vx2+h2+yjy2+h2<1■\lx2+h2+J/+/^.\QB\-\QA\<\PB\-\PA\ᓽAஹBᦈᑮSTḄUVWXY22ஹ.I[\]ᦪḄᨬY`ab1,y/T+t,Jc7,.................3ᑖᵫ/(1)=0,/c=_a_b_l

52f(x)=x3+ax2+bx+c=£+ax2+Z?x-(஻+/7+1)(x—l)[x-+(a+l)x+(஻+/?+l)],ᦑl2+3+1)*+5+/+1)=0Ḅ-᪷n117,Vi+7.?ᦑJl-1+Jl+1=-(a+1)yjl—t•>Jl+1=a+b+l.................................4ᑖ(VP7+VT+7)2=(a+l)2,ᓽ2+2(a+b+l)=(a+l)2a2=20+3.................................................................................5ᑖ(II)জa⚪qrn/'(t)=3/+2"+/?=0Ḅ᪷,“v2abᦑᨵx+x=,xx=—,}2y2w=(2஺)2—12xு0,/b<3.2•-3ᓃ_26tᵫlxே-x\={(□+x)2-4XX..............................7ᑖ22}2-1—2J3-b2.2~rrz---------=—/b=2,a~=2/7+3=7.33ᵫ(i)=-(a+1)>o,ᦑ,Cl=-VY,c=—(^ci4-/?+1)=yfl-3/(X)=X3-V7X2+2X+V7-3..........................................................9ᑖ(2)1M-N1=1I=1(x0-x)+a(xt)+᳝%)I=1x-x1-I(%j+x)2-xx+஺(᳝+/)+஺I122124-49-a2-J(32(ᡈJ()l...................................................11ᑖᵫ(I)9+1)2=(VIF+7)2=2+2F70

53a<-1,—2?ᯖ?ᙠx2¡¢2Ḅ£ᙊ...............................................5ᑖ(II)᝞Gᵫ⚪q$/Ḅ᳛¥ᙠ¦§H/yM(x-2)/#0)জ©জªᐭ¬+=1,᦮ᳮ/(21+1)/2”+(81-2)=0,ᵫw>()/0<°'|),F(%2>>'2)8k2X1+x2~2k2+lᑣ<ঝ7ᑖ8T-2XjX,=2k2+rqIftpI—.—■r-2v¶ᑣ·ᵫº»/=/,/1=µ4=>0<2

542(X|—2)1(%2—2)—%)%2—2(/+%2)+4—2᱄+1221+1421---------7----------ᓽk---------------10ᑖ(1+4)28(1+2)224211■^00ᡈh(x)<0ឤᡂ,.........................4ᑖ2xজp=0UJ(x)=-2x,/x>0,.e.h(x)<0,.,.g'(x)=——-<0,xg(r)ᙠ(0,+oo)ᓫÌ⌴Óp=0〉ᔠ⚪q...................5ᑖঝÖp>0Uh(x)=px2—2x+pG×ØÙᔣÛᱥÝx=—£(0,+00).^h(x%in=p——.Í◤p~—>0,ᓽp>lUh(x)>0,g'(x)>0,PPPg6)ᙠ(0,+8)ᓫÌ⌴Þp21〉ᔠ⚪q....................7ᑖঞÖp<0U஻(x)=pf-r+pG×ØÙᔣàḄÛᱥᐸâÝx=Le(0,+00),PÍ◤/1(0)<0,ᓽp<0U/z(0)<(0,+00)ឤᡂ,..•.g'G)vO,.,.gG)ᙠ(0,+8)ᓫÌ⌴Ó.■p<0〉ᔠ⚪q.ãজঝঞ»/P21ᡈ”0...........................................................9ᑖ(III)äå0জᓽä0liu—x+lgO(x>0),

55I1—YH(x)=lnx-x+1,ᑣ/(x)=-----1=——xxÖ(0,1)U,஻প)••4)ᓫÌ⌴Þ]ᦪÖ(1,GO)Uç஺)<0,a0ᓫÌ⌴Ó]ᦪ;41k(X)Ḅ᩽ᜧ`?.k&)Wk(l)=0.ᓽInx—x+lgO,:.hx0,Inxx-11I••——<------=I—xxx,/nGN*,n>2Uµx=/••ë3),In2In3ln஻1”111.1x—«—I---;—F…H.......-<(1----+1-----++1------)22322222232H2?஻1/+*+…+*ïð?஻1ñ+£+—+^ï;—1)]22஻+1_2/?2_஻]4(஻+1)••ôõᡂ,..........................................................14ᑖa—125..(I)•.•'=——(qߟ1),Aa=0,aÖ஻N2Ua„=S-S,i=9%—,na—1a-i£=a,ᓽö÷ønùÄᦪᑡ.Aa=a-an-'=a"......................4ᑖn2.-(gn-1)஻(H)ᵫ(I)h„=—^----------+l=(3a-1)fl—2fl,ûöᡈøùÄᦪüij,ana"(a-\)ᑣᨵý=v,A=3'=þ2ÿ=aaᦑ22=3.±2,a=_L,.a=_Lᐭ஻=3"ᡂaa233

56ᡠ“=L3=()"ᡠ"=—+---\—3"3"iIIIᵫII3"+l+3n+,-l31+(?"1-(1)"+1জᓃ1+——+"/=2.(23"+13,,+1-13"+13n+,-13"+111,11112111ᵫ-3-"-+-1<-3-஻,-3-/,-+|:---1-ு-3-஻-”-3"+1-3911:1;"'1311ᡠC“=2_(*ߟj•-C~[)>2-(G_H)J—13-iJDKL7N=q+஺2+,••+%>[2_(N1/)]+[2_(/_/)]+…[2_(/1§=2஻-[(U+("+-+G—J)]=2"(U)>2஻-g.ᓽ4>2஻-g.........................14ᑖ9Y"+a26ஹ(I)^------=x=>(1-ᓃ)`2+cx+4=0(bW1)hx-c2+0=--—a=0x2l-b=>V••fMGea2x0=——l-b121ᵫ/(-2)<11n—10x<0ᡈx>2ᵫ/'j<00

57•*-a”-%=-1***a=-n.............................6ᑖnghᓽu10x+1XXl+'=f,xுO,ᑣfு1,x=—xt—1g(f)=1-1-lnfgr(t)=l11ᵫre(l,+oo)g'«)>0t••}f£(l,+oo)~g")ᓫp⌴rg«)>g(l)=0gh11ுInf1x+1ᓽ/>ln>,x>0জXXh(t)=InZ-14--,hr(t)=---y=ᵫ£(l,+oo)hr(t)>0••}rw(1,+8)~ឰ)ᓫp⌴r/./i(0>/i(l)=0ghInf>1-tX+11ᓽIn-->——,x>0ঝx+1ᵫজஹঝ{10.............................10ᑖX+1XXe1I஻+11Rn111஻+111eᡠ----f(x)+\l+/(x)_,,ஹ1/(a—x)"a)+l_l+/(a-x)τ/(x)~/~(a)1vr*-x)=/[(a-x)-«1==l-f(-x)=/(a)/(x)+l=l+/(x)a=®=-/(X)©g£¤¥ᑁḄ°±x²³ᡂ/.f(x)u᜻kᦪ----------------------------------------------------------(4ᑖ)(2)᧕f(x+4^/)=/(x),ᕜ·u4a.8ᑖ

58/(a)”-a)+l1—¸ভ=(3)f(2a)=f(a+a)=f[a-(—a)]=-2f(«)-/(3a)=/(2««)=f[2a-(-«)]=/(e)_஻஻)=—/(“)=7♦+ᐜ/(x)ᙠ2a,3a/ᓫp⌴xu»¼xd(2a,3a)~f(x)<0,^2a0"(X)<0----------------------f(x-2a)GOᑖ)f(2a)~f(x)^2a0,_/(Xl)f(X2)+l"(xD-f(x)>0,f(X|)>f(X2),2-7(»ߟXi)/./(x)ᙠ2a,3a/ᓫp⌴x----------------------------------(12ᑖ)A/(x)ᙠ[&z,3a]/Ḅᨬᜧ²u/(2a=0,ᨬÀ²u/(3a)=-l28ஹ(I)^¨M(x,y),ᵫ2L+3Á=஺P(0,-Â),Q(-,0).ᵫLᓤL=0,(3,)=0,ᓽy2=4x22ĨQᙠxÅḄÆÇÅ//.x>0ᦑ¨MḄÈÉCḄÊËhy2=4x(x>0).......6ᑖ(H)Ì1ᵫ⚪Î{NuÏᱥÑC:y2=4xḄᯖ¨ÓAஹBuÔᯖ¨NḄÕÑÏᱥÑCḄ±Ö¨஺}ÕÑAB×᳛Ùᙠ~A(l,2),B(l,-2),IABI=4<—,ᔠ⚪ÎN.....7ᑖ3}ÕÑAB×᳛ÙᙠÓu0~N^ᐔ)=k(x-l),ᐭ=4xk'x2-2(k2+2)x+k2=0ᑣÜ81=,+ᓃ+2=2/Ý2)+2=4+.=ᵯ/2=3.............................10ᑖ1-k2k23ᐭ§ÊË3——10x+3=0,ᵫgßு1,ᡠà=3,á=13-1ᵫâ=2â2=/ã=—3-=-..................................13ᑖx-x3-13N1

59ÌÝᵫ⚪^ᩩåæ=4%(1)¥=4஽ফ',2ᐭ(2)(l-A)2^2=4x,+4/K1-X,)õপᐭ/ᓄø(2-l)x,=1(6)……9ᑖù᪵õ(3)ஹ(4)ᐭমûᔠ(1)ᓄøü{(1+X,)2=y(7)……11ᑖ\4[2=4ᦑ"=±ᵫ(6)ஹ(7)<3ᡈ11Ä᳝ÿ1,/i=3rl=332262(n)1X=-=-3,ᡠMᙶ᪗(-3,0).!"IḄCy=ᦇ(%+3).y=k(x+3),

60ᵫ"//0ᙊW2Aஹ84562A=(18/)2-4(1+3/)(27786)ு0,*:?!A,BḄᙶ᪗ᑖ=(>5%),(x,y),2218%227k2-6ᑣᑮ+“B.5xix2="'D=%(᳝+3),y=k(x+3).2221ᓝ3K.1ᓝ3K6(—2,0),C(G,—M),ᡠI=(J+2,—FB=(x+2,y).22K(᳝+2)y—(x+2)(—y,)22=(X1+2)Zr(x+3)+(x+2)A(X1+3)22=k[2xx+5(x+X)+12][2t2,54Z:2-12-90k2rk[............-+--------+12]?1+3/1+32%(54/812-90^+12+36/)=--------------------------Z------------------=051+3FᡠL=/1L......................................................10ᑖ2M2N=-2=-3,ᡠ஻ᙶ᪗(—3,0).c!"/Ḅy=k(x+3),A,8Ḅᙶ᪗ᑖ=(%5%),(x,y),22ᑣCḄᙶ᪗(%,-%),=k(x+3)>y-k(x+3).l22ᵫ0ᙊḄPQIR*\FB\X+3\y\22IFCI-x,+3-bj"ᡠ8,F,CSᐳ5ᓽL=4L............................10ᑖ(III)ᵫ⚪W6S=^\MF\\y\+^\MFIIy1x2=^\MF\-\y+y\[2

61=^lkx+ᑍ2[+6ᦇI]3\k\3—---------«—,——,1+37^+311262\k\17_`a_7=—b”=”ᡂe,3ᡠ\MBC☢gSḄᨬᜧjk.30ஹ(DmP(I,-1)oᐭqᱥCḄy=a/*஻=81,QqᱥCḄy=—,ᓽx2=8N.ᯖᙶ᪗v(0,--).............................4ᑖ4(II)!"ᜐḄy+l=%(x—1),ὶe+18,("8){y*[y=8ᔆ.~ᡭ•=8ᱏ81,ᓽ/=-k-1.tᵫ=84(—ᓃ-1)=(ᓃ+2)2>0,*/w-2.............7ᑖᳮ"PBḄy+l=k(x-l'),2+1=஺_1),,ὶe,{y*/+/8—1=0,[y=-X.ᑣ].X?——ᦇ2—1,ᓽ4=—22—1.`*:2*—2.w;k+k=0,AkW2.9ᑖ}2x!MḄᙶ᪗x,y[,ᵫQ,~=/-kt—1—k?—1—2—4]+-2[x---------------=--------------.22w•^k[+k=0,/.x=—1..................................11ᑖ2

62>]+>2~X[~X28(%1—I)2-(822-1)28(8ᦇ1-1)2-(ᓰ-1)2y=------=--------=--------------=-----=--------------------2222=-(6+1)8wz஺±2,y஺-5.•ᡠMḄ1Q-1()5ீ81`ு஺85).¢ὃ¤ᫀ31.(I)f\x)=ax1+2bx+c,ᵫ⚪W¦§ᦪḄ©ªWR*/প=஻+2Z?+c=0,(1)ff(m)=am2+2bm+c=-6?,(2)...........2ᑖK஺0,(4)..............5ᑖaaᵫ(3),(4)*OW2<1B..............6ᑖaII[ᵫf\x=ax2+2bx+cḄᑨ=¸A'=4஻2-4ac{0,6/'»=¼+2"+?=0*[ᨵ4½>¾´᪷5!¿5z5KᵫÁপ=a+20+c=065=1*[Ḅ8½´᪷5ᑣᨵ᪷/ÂᦪḄᐵÂ*202blÄÄÄ᳝+“2=---5%2=-----1Å0Å/5..............9ᑖa~a_“Å^2ᡈ^Æ᳝b5/'»Å஺5_^2Å^Åb5/rx[Æ0,ᦑÈᦪ/X[Ḅ⌴ÊËÌ^5:Í5ᵫ⚪!6²5᳝Í=Î$5ÐÑls-fl=IXÍ-X2l=2+Ô5ᵫI[6OW^Å1*Is—”ḄÕj×Î2,4[B…12ᑖaa(III)ᵫf'(x)+a<0,BPax1+2bx+a+c

63a<0,ᑣ/+2-2B(-2-2>0,᦮ᳮ*(2Û-2)2+/>0,aaa!g(2)=(2x-2)-+x2,ÜÝᐵ-Ḅ8ÞÈᦪ5aaaᵫ⚪Wg(2)>0ßoW2<1ឤᡂe5aaᦑ(-1)á5ᓽâ+2X-2N0,*xw-6-1ᡈãḕ-15U(0)>0,[x2>0,ᵫ⚪W5[A:,+oo)c(ߟ00,--\/3—1]U[A/3—1,+00),ᦑ᝕Næ-1,ÑkḄᨬÐjæ-1..............................16ᑖ32.çÐ⚪èᑖ12ᑖ[1
é⚪W5êëìí&ḄÕj0,1,6,8.332£^=0x0.1+-x0.9x1+-x0.9x6+-x0.9x8«4.2...........12ᑖ88833.(çÐ⚪èᑖ14ᑖ)(1)B=/—/,B.,2=4ï2......2ᑖw^|.}=0PF1PF,................3y2ᑖA|PF,|2+|PF,|2=(2C)2=16/M2..........5ᑖᵫ0ᙊIR6▬|+|P5|=24=2◞5|vᵨ+|Pô[2=16ᐔ2+8=24/...6ᑖö÷*ï2=15஺2=4ï2=4,c=2.."-25஺[ஹ^2,0[.....................7ᑖ2
VFi-2,0
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,…9ᑖᑣþ+2[5/=2["-2þ+N2818..12ᑖᓽ(x—6)?+y2=32(ᡈ/+—i2x+4=0)ÿᡠᡠx-62+y2

6434.(⚪ᑖ14ᑖ)(1)ᵫan+i=an+6a”anM+2a=3(a+2a-i)(n>2)nnn*/ai=5,a2=5.\a2+2ai=15ᦑᦪU{an+1+2an}15✌⚗3Ḅ"ᦪᑡ.......5ᑖ(2)ᵫ(1)%an+l+2an=53nᵫ&'(ᦪ)*%(an+[—3n7)=—2®]-3")ᓽa-3n=2(-2)n-1ᦑa=3n+2(-2)n-,=3n-(-2)n...........9ᑖnn2(3)ᵫ3nbn=n(3n-an)=n[3n-3n+(-2)n]=n(—2)n,bn=n(,-Sn=lb]l+lb2l+...+lbl—+2(j)2+3(j)3+...4~n(j)nn|s=(1)2+2(|)3+...+(n-1)(|)n+n(|)n+1...............11ᑖn%.s£+$2+§3++/|-01=/3=2[lYn]_n011-322S=6[l-/3"]-3n/3n+'<6n⌕5%lb]l+lb2l+...+lbnlVm67n£N*ឤᡂ;,=>m>6...14ᑖx+x_k2k—---]-------2
2-----Xj=%2=-35./⚪ᑖ14ᑖ/1
24,?@A?2B"Cᡂ;,k20,—]ᦑMḄDEG4.............5ᑖ,/11ஹ1IM/2
),/Jᦪ)/---᳝/----M2=------+᳝M2-------------1k2-\k2-\=O]஽------XxX2------------F2=u------------F26ᑖ᳝R2XjX2uEr(\Q7Eᵫ0<஻«UwkNl,22_120,/3)=஻,,V+2ᙠ(o,/L]XJᦪ……74u4ᑖ1τk2-\Y42kஹ2j2tᡠ('_᳝)('_9)=஻_[+2=.,\+2=\_2+9=(1ߟ/)-X|X2U~~41iᦇ2ᓽ?^>1B`"a(,,᳝)(,,]2)<(5-])2ᡂ;.........9ᑖ1Xτ/C)V/`"abcḄdef)

65]__________xx)_(ߟ+—_2)=z-4%+2_k-4-m2_(%,n)xxk14xXjk2xx4xx{22x2{2q-4rM2=/s,஽2tᐭ%(X]_M2)~(4-&~X112_4᝕_)6ᑖ4k2xxY2/%|—^2~0,%N1B4-%?/ᐔ2—4k~=4/—᝕_k2%09^./%,…“V"஺4-50,ᓽ?k21B`"a/M-I,஽W/1,ᡂ4kxx%x2ki22;............9ᑖ/3),/Jᦪ)//,/!,஽=஻+^-+2=//“51IJ/|-|2=//y,k22ᓽ5~u//—6uG/0,—ឤᡂ;ḄkḄG.........10ᑖ44ᵫ/2⌕5/•,/'--x2ஹ22,.6/,஽€஺ឤᡂ;ᨵ04,᳝஽-4N0ឤᡂ;.......10ᑖ

664,4"2ᓽ®஽ீ°ឤᡂ;.......11kᑖ1212AA12ᵫ0<>஽ீU%²W-ᓽ᝕4+16%2—1640........13'244k2ᑖ%0<%244³-8.¡¢`"a/M,᳝/ஹ,k2ஹ2r-,ᑐ22/5,1ᔆឤᡂ;Ḅk2ḄG0<ᦇ2<4^-8.14ᑖ᳝36ஹ/1¶·ᙊḄᯖº2c,¡£=;ᡠᨵ½¾=2,ᦑᨵ஺2=3¿஺¿Àa3a3·ᙊCḄ*ᓄx2+3y2=3b2জ.....2ᑖ᧕©ᯖÅÆḄᙶ᪗/42b,Q,É⚪ᨵ4BᡠᙠḄËÌy=x-42bঝ.....3ᑖᵫজঝᨵ4X2,6Îx+3ᓃ2=0ঞ¶4/Iᨴ,8/%2%ÒABḄÅ"/M஺,Ô,ᵫঞÕÖ×'ᳮᨵ:ÙVÚ,,ÛÜᡠK°Wᓽᡠ஺.....5ᑖ/2ßᯠOAâ஺6*dã☢ᔣæḄ,çèéᵫã☢ᔣæè'ᳮ67ê,ã☢ᑁḄᔣæÀᨵ@=ᨵ,6ìᦪí஻5%"aÀ=/lG+஻ᔊᡂ;஺¶Mx,y,ᵫ1ᔜÅḄᙶ᪗ᨵ:/x,y=2/X],yf+jux,y,ᡠ22x-Ax+/JX,y=+/jy஺.....7ᑖt22òÅᙠ·ᙊCᡠᨵ/½+Æ2>+3/ó+©22=3¿᦮ᳮ

6722/Xj2+3yö+//2X2+32+24஻/ᓰø2+3\]=3஺2஺ট2,_33b?ᵫঞᨵX,+x=———,X|•x=_40ᡠ22x,x+3%=x\x2+3/ᓛ-41b\x-42b=4xx-3y/2bx+x+6£>2ঠ2zt2]2=3b2-9b2+6b2=0òAஹBᙠ·ᙊᦑᨵ/ü2+3ᨴ2=3ᔢ/x22+34=3/ডqঠডtᐭট*%ÿ+H=1஺.....11ᑖᙊḄM,ᙠᦪ=+஻ᡂ"2+$=1ᙠ%&ᙶ᪗)x-o-y./P1/l,஻456x7897:;<6=>0P:@<Ḅ&:6,Bᯠ2=cos0,J.=sin19«JKLMᙊCOPMᙠ&16dR4MOM=cos6OA+sin00Bᡂ"஺37ஹপZ[:5M1x,y4,ᑣᵫ⚪5`IM>l=ly+2l-1,.......1ᑖᓽ&2+y_12|2|-i=y+eyN—2h,J/+1y_]42=y+],ᓄm`/=4yo.......3ᑖey<-2hJ2+1y—=_>_3,.......4ᑖᓄm`x2=84+8ry<-3sᔠᦑMḄvwCḄxyL/=4y.......5ᑖ114Z[{M•.•”ᑮF1l,04Ḅᑮ%>/:y=-2Ḅ1,Mᙠ%>/ḄxMᑮF11,04Ḅrᑮ%>I':y=—1Ḅ.......3ᑖᵨḄvw஺L6F:ᯖ/:>Ḅᱥ>ᡠ6>CḄxy:=4y.......5ᑖ

68(2)e%>mḄ᳛sᙠhr>Cᨵsᔠ⚪P5%>mḄxy:y—2=&(x—2),ᓽ=+(2-2%)ᐭX2=`--4+8(-1)=0(ਮ).......6ᑖ=16(1_2᝕+2)0keRឤᡂ"ᡠ6%>¥r>Cឤᨵ¦s§Ḅ5A,BḄᙶ᪗ᑖ¨:4©%),8(%22)ᑣX1+X2=4A,X]X2=8ª1).......7ᑖজᵫ¬=®4=1`PL¯Ḅ.^.X]+x=4,ᑣ4k=4,`&=1%>°ḄxyLx-y=0.......9ᑖ2ঝTlA31=J(X2-xj+(´-7)2=y](\+k2)[(x+x)2-4xx]=4yl(l+k2)(k2-2k+2)2t2t17-91-1Oᑮ%>mḄd=.,Jl+µS=gIA6I/=4M—11“2-2ᦇ+2=W(I)4+()—1)2.....................ioᑖMB0vS=4V2,.-.4jd)4+d)2=4MB0(Jl-1)4+(%—1)2—2=0,(k—l)2=1ᡈ(»—1)2=-2(¼½).•4=0ᡈk=2.......12ᑖe஽=0hxy(ਮ)ḄZ:±20ÀM=2"x=-2V2,ᑣ;I=2-Ã=3-2Ä2-2V2-1À»=—2A/^,X2=2A/^,ÅU/==3+.......13ᑖ2V2-2ek=2hxy(ਮ)ḄZ:4±2ÇÀᓛ=4+2A/2,X=4-24ᑣ2=-2-2ஹ=3+2ߟ22-2V2Àᓰ=4—2Ë=4+2Ì,ᑣ==3—2Í.....14ᑖ-2+2V2ᡠ62=3+2V2Bg2=3-2V2

6938ஹZM(1)•.•ÎᙠÏᦪ/(x)=/+2xḄÐÑS”=/+2஻5eN*),en22ha-S-S“_|=2஻+1.nnen=lh»=5=3ÒÓᡠ6ᦪᑡ{%}Ḅ×⚗µ:a“=2஻+1.......3ᑖ(2)ᵫ/(x)=/+2xÙÚÛ`/'(x)=2x+2ÜP(஻,S„)Ḅᑗ>Ḅ᳛:k,:.k=2஻+2.nnnb=2k"«,=4.(2H+l)-4n.n.•r=4x3x1+4x5x4?+4x7x4,+…+4x2஻+1)x4"জᵫজM,`4T=4x3x4?+4x5x43+4x7x4,+…+4x2n+1)x4,,+l@জ-ঝ`M-3T=413X4+2X(42+43+—+4")-2஻+l)x4"[n42(I44“t=43x4+2x--------------(2n+l)x4n+,1-4T„=^-LL.4"+2--.....................................................................................7ᑖ99(3)Q={x^x=2n+2,neN*},R-{x\x=An+2,n&N*QR=R.ÞcQcR,ᐸ.C1LQcR.Ḅᨬᦪq=6.,/{qjLµáL4Ḅâᦪ,ci஺=4m+6(஻zeN“).110<4°+6<115Þ••110஺,ᵨ=2a-1(/?>2)-------2ᑖn

703Þq=—,a=2JÒÓ-1(஻£N*)=஺஻+[-1=2(஺஻-1)()2ᦪéUa“-1Lµ:2,✌⚗:q-l=oḄᦪᑡ-------4ᑖa-l=-x2"-'=2'-2-------------6ᑖ"2ঝS“=a+a+...+a=(2-1+1)+(20+1)+(2'+l)+...+(2n-2+1)t2nঝS஻=q+%+-+஺஻=(2-I+1)+(2஺+1)+Qi+1)+...+(2"-2+1)=(2'|+2°+2'+...2"-2)+n=^^-+n------------19ᑖ41ìs-nT-1Llim-2-----=lim-----=lim-~~J=2--------------(12ᑖ)XT8QXT82"i'+2XT8122+T40ஹZM(1)íx=g(o)=Míì`î+/(ì)=M=/d)+/S)nnn2nn1n—l(2)%=/(0)+/(-)+..•+/(——)+/(1)nnfi—11Þï=/(l)+/(——)+-+/(-)+/(0),¦°nn2%=1/(0)+/(I)]+[/(-)+/(ð)]+…+"প+/(0)Jnn_n+1a=ò"eN*)n«,=LᦑᦪᑡóôõLáᦪᑡ1+l4_4বa4஺“-1nTn=bn+bn+…+b^=16(1+=+]+,••+r23-n11<16(1+-----+-------+•••+nn-1))1x22x3=16[l+(l-g)+(o-g)+,+(1n-1n{16(2ì)n

7132--=S.nT2).......3ᑖnnᵫq=2஺+1`஺2=4஻»=%+4=4஺+4,,.•஺஺-1,.......4ᑖᓽó2õý¬2⚗þL62:µḄᦪᑡ஺.......5ᑖ(2)s„=a++'_1)=-3a-4+(2a+2)2".......8ᑖn>2£—+2)2“-3a-4=2+—ߟS„_,(2a+2)2'-'-3a-4(a+1)2'-'-3a-4VS„!"ᦪᑡ%.'(&2)'ᦪS“T4/.3a+4=0,ᓽ஺=---o.........11ᑖ3(3)ᵫ(1).“22b=(4a+4)2"-2=(a+1)2",it2a+1(஻=1)ᡠ0=<.......13ᑖ(a+l)2"-n2(n>2)ᡠ0ᦪᑡ%62a+l,4a,8a-1,16a,32a+7,9ᯠᨬ<⚗>?⚗@Ḅ⚗஺..15ᑖaeCO,%Eᨬ<⚗68a-lFa=Lᨬ<⚗64aᡈ8a-1%16ᑖ4awCZ5Eᨬ<⚗64a%

72a=■ᨬ<⚗64aᡈ2a+l%.......17ᑖ2ae(—,+8)ᨬ<⚗62a+l஺.......18ᑖ242.M(1)y2=4x........4ᑖ(2)NN(,-f)(t>0),ᑣM(r,2t),F(l,0)o4T6MஹFஹNᐳXᑣᨵ/Z=[\6ᑖᡠ0]^,M_f=8ᑖ4ᡠ0᝕=£2=2a,10ᑖ2-1TbcXMNḄdey=20(x-l)஺11ᑖ(3)“⌮ᔣj⚪”Fজn.oᱥXCFr=2px(pு0)Ḅᯖv6F,wᵯFḄcXyoᱥXCzPஹQ}v,NvPᐵzxḄv6R,ᑣcXRQZw&vA(-K,0)஺13ᑖ2FNwFḄcX6y=k(x—5)P(x,y,),஺(஽Z)᝞%)ty2=4x_/(p-+4)x+(p2k2=0,ᡠ0x/2=?ᵫ«14ᑖy=<9k(x,——)k--_____L^_15ᑖRAppX,HX,d1212z5-§k{xxk(X[-§x2AQA~^RA16ᑖPpPX,+5xix2+■᳝X+12ᡠ0cXRQZwᯖvA஺…….17ᑖFᡂMᨬ_6ᑖ஺ঝwvA(-K0)ḄcXyoᱥXczPஹQ}vFP¢oᱥXyz£vR,ᑣRQᚖ2czX஺

73FᡂMᨬ_6ᑖ஺ঞn.oᱥXCFy2=2px(p>0),wvB(m,O)(m>0)ḄcXyoᱥXCzPஹQ}vNvPᐵzxḄv6R,ᑣcXRQZw&vA(-m,O)஺FᡂMᨬ_7ᑖᐸ@j⚪3ᑖ஺22“⌮ᔣj⚪''^Fn.ªᙊCF^+5=1Ḅᯖv6F1(-c,O),F(C,O),wF2ḄcXyªᙊCz2a2b22PஹQ}vNvPᐵzxḄv6R,ᑣcXRQZw&vA(¬,0)஺CFᡂMᨬ_9ᑖᐸ@j⚪4ᑖ஺22“⌮ᔣj⚪”?Fn.®XCF?_E=1Ḅᯖv6F|(-c,0),F(C,0).wF2ḄcXy®X2Mb2CzPஹQ}vNvPᐵzxḄv6R,ᑣcXRQZw&vA(±•4)஺cFᡂMᨬ_9ᑖᐸ@j⚪4ᑖ஺ᐸ³M´᯿¶ᑖ஺43.(1)%=5+2”",T6q=i,ᡠ0¸=¹,¸=3.........................2ᑖ16—8஺”84(2)T6º>0,4+F>0,ᡠ016-8a>0,00,ᡠ0aߟߟ¢a—¾¿.....................................6ᑖn+inT6q-3=-2<0,a--<0,a--<0,234424’4-1<0,ᓽ.......................................................8ᑖ(3)"22,<|\i7=2"h......................................................10ᑖ22-4ᡠ0஻<<22-6„_<•••<2”-᠘=2»3,...................................12ᑖ2A2”)ᡠ0஽+b2T----\-bn4”14ᑖ1-244.(1)4a=l/(x)=3d3,ÃÄ(x)=0,_x=0ᡈx=l..2ᑖxe(O,l)xe(-oo,0)U(l,+oo)/'(x)>0஻x)ᙠ(0,1)ÇᓫÉ⌴Ëᙠ(YO,0)U1,M)ÇᓫÉ⌴Í,

74/(x)Ḅ᩽<Ï6/(1)=-2..................................................4ᑖ(2)Vf'{x)=3JC2-3a>-3a.................................................6ᑖ•••⌕ÒcXx+y+ÓÔÕÖḄ“eR×Ø®Xy=f(x)ḄᑗXÚÛ-1<-34—.......................................................................8ᑖ3বTÝ»)=|஻ᑘ=ß3-3¾ᙠ-1,1Ç6Ꮤáᦪ,ᦑãäᙠ0,1ÇᨬᜧÏ.......9ᑖজ,/,(x)>0,/(X)ᙠ0,1ÇᓫÉ⌴ÍÚ"0)=0,g(x)=|/(x)|=f(X),F(a)=jfপ=1-34................................10ᑖঝa>0/(x)=3x?-3a=3(X+G)(X-G)i.`&,ᓽaNlg(x)=,(x)|=-஻x),-/(x)ᙠ0,1ÇᓫÉ⌴Í/প=3"1......................................................12ᑖii.O0ᓽ0/(l)=-3aᓽ;

75b=-a+6(஻-1)n4஻=4]+
a-Q]+஺3-஻2+…+an-%-1=஺+A+%+•+2“ᵪ஻_1+6=a-a
n-1
+3஻-1
஻-2
=3/i2—9+an+6+2a
n>2
t+92
•ᦪ/஺=3/+9»+6+2஻ᔣ!"#x="-Ḅ'6ᱥ)*+#ᙠᾙ./⚗123ᨵ⚗ᦪᑡajḄᨬ7⚗!"X=q±289ᙠ[11,"ᕊᓽU43±2<—,.-.24<0<3662226246.<⚪>ᑖ14ᑖ<⚪ᐳ2A7⚪B17⚪>ᑖ4ᑖB27⚪>ᑖ10ᑖCD1
ᵫIPGI-IPB1=2<1ᱏ.IGHPḄIJEBஹF2#ᯖHḄMN)OP2ᵫ஺=2,2஺=2,Q.ᓃ2=3,ᦑIJEḄTU#/V_=1%21
...............4ᑖ2
WX)/ḄY᳛[ᙠ\]X)TU#y=kx—2
,^_M
,஺`,#.MN)TUὶcdye(g—3)x2—4/x+4/+3=0,>2-3^0A>0i4k2••]X,+=------>஺2k2-34k2+3kX1•x,=-Q----->()k2-3Ce᮱>3...............................................................................................................5ᑖ(i)vMPMQ=(Xj-m)(x-m)+yy2x2-(x-m)(x-m)-^k2(x-2)(x—2)12}2—(k~+1)%|^2—(2᝕~+/72)(X|+%2)++4k'(k2+l)(4k2+3)4g(2g+p=---------Q----------------------T2------------------------\-m+4k,Jk?-3k-33—(4/7?+5)k2r%=-——--+m2................................7ᑖE-3F&MP1MQ,^.MPMQ=Q,ᦑe3(12)+^2(m2—4q—5)=0rsḄ

7622>3ឤᡂc,l—m2—0..,,Ce஻z=—Lm~4v5=0.•.Wm=1\MPLMQ.WX)IḄY᳛x[ᙠ\ᵫ42,3),஺(2,-3)y஻(—1,0)Gz{ᡂc,|Wq1\MP1.MQ.............................................................................8ᑖ(ii),,Q=1,C=2,.,.X)X=LMN)ḄO})......................9ᑖ2ᵫMN)~eD1PAl='IPF,1=-IPF,\,\QBl=-lQF,I,e“2~2T—=J1+~1X-)-X|121ABi21y2flJl+)2I/-τJl+&'11j-t..........10ᑖ2lk(x-x,)l21Al2Vk2'2k2>3,.\0<2<—................................................................12ᑖk2323sᑮX)ḄY᳛x[ᙠ\IPQ1=1ABI,\/I=1,|A,e-,—ߟ1..............................................................................................14ᑖ”3JTD]X)PQḄY#0,ᵫX)PQ.MN)OPᨵAH,Jr27r^.—<0<——,QQCLPA,ᚖ#C,I337T\PQ\_\PQ\^PQC^--0\,^.Z=2\AB\~2\CQ\ᵫ<6ீe

7747.(<⚪>ᑖ16ᑖ)<⚪ᐳ3A7⚪B17⚪>ᑖ4ᑖB27⚪>ᑖ6ᑖB37⚪>ᑖ6ᑖCDf'(x)-3ax2+2bx-a2(a>0).............1ᑖ(1):⚗=-1,%=2ᦪ/)Ḅ/A᩽H,.•./'(-1)=0,/'(2)=0............................................................................................2ᑖ3a-2b-a2-0,12a+4-b—a'-0,Cea=6,b——9.....................................3ᑖ/(x)=6x3-9x2-36x.......................................................................................4ᑖ(2)஺ᩎX2)/A᩽H.•./'(X])=/'(,)=0.♦.ᩎ©TU3ax2+2hx—a2=0Ḅ/᪷.Q=4"+1#3,.♦.>()ᑗa>0,beRឤᡂc.2ba᳝+/=$-2=3a3a>0,x-x<0.]2.,.IX|I+Ix1=1X]—x1=——)2—4(——)=~—+—fl.................................6ᑖ22ᵫIX]I+1x?1=2V2pJn,+ga=2"^,•=3a2(6-a).........................7ᑖ\-b2>0,3a2(6-a)>0,00.•.<“)ᙠ(0,4)ᑁ¤ᦪ;4<஺<6\,¦'(“)<0.••/!(”)ᙠ(4,6)ᑁªᦪ.••.”=4\/?(a)ᨵ᩽ᜧ#96,.•.//ভᙠ(0,6]Ḅᨬᜧ96,.•TḄᨬᜧ46.................................................................................................10ᑖ(3)D•••®ஹ¯TU°(x)=0Ḅ/᪷,f'(x)=3a{x-Xj)(x-x),.......................................................................12ᑖ2

78iIX—X,1I4~IX—X-y----II2a.*.1g(x)\=3a\x-x\-\x-x--\<3஺(-------------------)........14ᑖ}2X)0,x—x<0,22•Ig(x)I4±[(%—X])(2~~)]2=~(X2ᓛ+~)2-a1x-x=--,x=a,x=.{22[3a111,lg(x)l<—<(a+-+-)02=—a(3a+2)2........................................................16ᑖ43312D•#ஹᔊTUr(x)=0Ḅ/᪷ff(x)=3a(x-x)(x-x)..............................................................................12ᑖ}2a1x•x=--,x=a,.}22.*.1g(x)1=13a(x+g)(x—஺)-a(x+g)I.=1a(x+^)[3(xVxid=2,.....................................(2ᑖ)/.f(a)=24-(n+1-l)d=2+»d=2஻+2nlog”a=2஻+2nn.•஻஻=/஻+2.................................(4ᑖ)(2)2=%"(%)=/஻+2.1°g/2஻+2=Q஻+2)/஻+2,...S“=4஺4+6஺6+…+2஻•Q2஻+(2஻+2)஺2஻+2

79.../s“=4d+6/+…+(2஻-2)•/"+2஻•a2n+2+(2஻+2)a2,1+4(1-a2)S,=4a4+2[஺6+…+q2»+2]-(2«+2)a2n+4,a=1,2a\\-a2")2a4_(2஻+2)/+42a4--------1------------=-----^^+l-(n+l)«2n],(l—/)21-a2l-a2i-a......................................(8ᑖ)4<1,*0—--*OPஹ•OP--3X|X=--xx=—,,/2Ppi+PP=022t222x,+x2(2ãä2)/Kஹ922c/.x=-------2,y=----------åᐭEᓄê⚗2=ë஺஺=222஺=128(III)Ꮇ]ᙠ1"[ᙠ~HGQ,0)î×1CGA/-2G7V),]/:ò=ky+m,M(x,y),(x,y)ὶc/.EḄTUe3344-8km...…;<প(4ᦇ2-l)y2+Skmy+4m28=0ᦑ<4஻/-8ফ

80GM-AG7V=(x-t-2x+At,y-2>'),7^K=(2710,0)3434FF_L(GM-FGN)ox,—AX+“=0=k(y-2y)+(1-2)/?:+(2l)f=0(3)}2434ᵫMQ=AQNy+2y=0y=-Ay(4)3434(3)ᓽ#2ö3+(1—/l)m+(/l—=0(5),÷(4)åᐭ(1)(2)20°ᨵ#=(%-1)‘------åᐭ(5)e/=2kmm2------—-ᦑᙠx"[ᙠ~HG(—,0)îF,F,1(GM-/LGN)஺m50.CD(I)+#×(x)=3a/+6x-6",ᡠ/'(-1)=0ᓽ3஺-6-6஺=0,ᡠ஻=-2.(II)+#X)vឤH(0,9).ᐜúX)஻×g(x)Ḅᑗ).]ᑗH#(x,3x1+6X(Q+ফ+#g'(xo)=6%+6.0ᡠᑗ)TU#y-(3xQ+6x0+12)=(6®+6)(x-xo)÷H(஺9)åᐭe/=±1.W/=-1\ᑗ)TU#y=9,W஽=1\ᑗ)TU#y=12x+9.ᵫ//(x)=0e—6ü2+6x+12=0,ᓽᨵx=-i,x=2Wx=-1\/=/(%)Ḅᑗ)ு=18,Wx=2\y=/(x)Ḅᑗ)TU#y=9Q.y=9gᑗ)*ᵫ//(x)=12e6/+6x+12=12;.x=0ᡈx=l,Wx=0\y=/(x)Ḅᑗ)#y=12x—11,Wx=l\y=/(x)Ḅᑗ)#y=12x—10,y=12x+9,xgᑗ)|ᡠþ=0\=9/N)Ḅgᑗ)(III).(1)ÿ+9Wg(x)43*2+6x+3,x=0,ឤᡂk&R.-24x<0423(x+')+6,X3(x+L)+6=-3[(-x)+—1ߟ]+6W—3•2+6=0k20x(-x)x>0஽<3(x+')+6,V3(x+-)+6>12k<\2XX.♦.xN-2ᨌ+9/z(-2)=848x•.⌕)/(x)«Zx+9ᙠ2WxvO+ឤᡂᑣ&W8ᵫ+,-./⌕ὃ⇋0<ᦇ<8,ᑣ4ு0//(1)=6/+161+12=—6஺+1)(42)

81.•.ᙠxw(0,2//(x)>0,ᙠ(2,+00)/'(X)<0/(%)ᙠx=2ᨵ᩽ᜧ;ᓽ/(%)ᙠ(0,+Q0)+Ḅᨬᜧ;?/(2)=9,ᓽ/(x)W9x>0,%20@+9>9,f(x)xឤᡂᓽax2+(஺l)x+c20ឤᡂ1a?ு0,U=(——1N4஻(1-4஺)W0,.............2ᑖHVIa=—,h=—,c8221119/•f(X)——x~H—x-\—.............2ᑖ822/Mi(3)ᵫᑖ᪆ᩩKL⍝/⌕/(x)YZ(ᙠy[\])^ᙠ_`y=—x+—+aᓽb,■24%de_`Ḅf᳛hij_`Pkᱥ`mᑗḄf᳛opje:2111y-X2-*一一-822W，1ᑭᵨmᑗU=(),HV.............4ᑖy--V-224V2/.mG(-oo,l+.............2ᑖHt2Ig(x)=-x2+(!-vw+ு!ᙠ4€[0,+8)z{ឤᡂ

82ᓽx~+4(1-m)x4-2>0ᙠxG[0,+8)ឤᡂজUீ()ᓽ[4(l-m)]2-8<0,HI1-----0=ঝ42(1-)WOHVI஻zWl—"........2ᑖ2[7(0)=2>0.V2^me(-oo,l+—52.I(1)z⌕ឋ1ᦪᑡ✌⚗%¢d1,,஻(஻-1),,,n-1,ᑣa=—(nb.+-------d)-b.+----dn¥•%e¢4Ḅᦪᑡ……4ᑖ22ᐙᑖឋ¨ᦪᑡ✌⚗ব¢dᑣª+h4----\-b=n[a+(n-1)J]=dn2+(%-d)n2nxª+Z+…+2-1="+(«1-J)(n-1)(஻>2)b=2dn+(%-2d)(n>2)nn=lbi=«i%〉ᔠVbi-b=2d,.♦.%e¢2dḄᦪᑡ.......4ᑖn+n(2)±²eI³ᦪᑡḄᐙ⌕ᩩKe´ᦪᑡµbn=bmᐸ·¸=஺“-%+2(n=l,2,3...)........4ᑖ53(»i⚪½ᑖ12ᑖ)H:পS,=5,ᓽÀ3Áᵬ2Ã1Ä......................................1ᑖᵫÅLᵬÆḄᭆ᳛ÄḄᭆ᳛4,ÈḄᭆ᳛..........................................2ᑖ263112S3=5ᭆ᳛3---.............................................5ᑖ68(II)S^=7J=4,5,µᨬËÁᵬÆ..............................6ᑖPC=4)=C¥(¥)(4(¥)=9........................8ᑖoZZloPG=5)=cI(¥)q)3(1)+c¥(!)*)(¥)2(¥)=++[=ÓZOZ3OZZ210122104ḄᑖÔᑡ

8345119A16216.10ᑖÕ=412ᑖ1621621654(»i⚪½ᑖ12ᑖ)HপᵫX?=4)y=¥/,/,y'-Lx•••_`/Ḅf᳛"42=1ᦑ/Ḅa.y=x—l,.••ÙAḄᙶ᪗(1,0).M(x,y)ᑣ45=(1,0),BM=(x~2,y),AM=(x-1,y))ᵫ•À+&=0(x-2)+y.0+ÝJ(x-1)2+y2=0,XC᦮ᳮ+y2=1.2...àÙMḄáâCãäÙ·åᯖÙᙠx[+ç[ç2èé[ç2Ḅê(II)᝞Yᵫ⚪ìL/'Ḅf᳛îᙠµï,/'a.y=Mx—2)(Aw0)জ,ðজñᐭ1+!=1,᦮ᳮ(2%2+1)%2-8k2.ô+(8஽2_2)=0,ᵫU>()0<ᦇ2

84.—*x—2ᵫúbBE=QBF,µ0<û<1./2-4ᵫঝL(ü2)+(x—2)=------7~1+2ý22@-2)•(x-2)=XjX-2(r+=2)+4=.221ᓝK2ÿᓽ(1+A)28(1+2)22,1.4211n0<ᦇ2v-,0n<----------<,2(1+4)2223-272<2<3+2V2.Z.3-27224%)ᑣ467ὃ+¥_1%-M+%=?1h22ᑣ•=——=--7ᓽ“2=2/ᦑ/>2=஺219-xx+xaAB42a22}2ᵫBCDEFGHI᳛e=J(2-4.+2-=2τ஺AτICl—2y!2II--------4ICফᵫNGOᙊHI᳛Q".ᦑe=—:uᑣ஺=30ᡈᦈ2la-2V2l22X஺=3J5Y4OᙊZ[Q\+ᓃ=1.189`a=6Y4OᙊZ[Q+V=1._`YM(2,1)ᙠOᙊ᜜.ᦑcd.22ᑣᡠfOᙊZ[Qg+ᓃ=1.189বᵫ⚪0GAB:y=-g+3.Oᙊx1+2)l-a2=0

85y=-x+3.ஹ,,,,,3/—12X+18—/=0ᨵA=122—12(18—a?)ு஺x2+2y2-a2=0ᦑa>ᢣ2\a-2y[ll<2ᵫফGe>1ᓽீQᦑ஺Ḅ'(\a-2y[2\a-2>/2w0(s2tU(2v,2+2wᑣxy2aḄ'(Qd472)U(4V2,4+4V2).z%>0«„i%+^.ᦪᑡ}ᓰ(ᦪᑡ4✌⚗\=1d=4a“%1=1+4(஻_1)TaJ^.a2=-^—"An-3•••a,ு0a„--T-——(neN*)4ᑖ1T(2)ᵫ%=ஹ.T=i6஻2—8஻—3J4஻—3%2(4஻-3)&]=(4/2+1)7l+(4஻-3)(4஻+1)4஻+14/1-3T^.—=*+஻14n-31

86/.7l=(4n-3)(7'+n-l)lbQᦪᑡ4ᑣ7l-1=0,7l=1ᓽa=1nb„=8n-7neN*1বan=~i=d4n-32ஹ2஻2J4஻-3-3++1_J4.+1-J4/-32S=Q1+%+444+-1)+(5/9--y/S)nH-----F(J4஻+1--3)=—V4n4-1-1neN*..............................12ᑖ257ஹ(1)na-(n-V)a=a4-2n,a-a=2(n>2)n+lnnn+ln.=2,&=S]+2,/.a-a=2,ᡠa஻஻“=2n21ফgT]+23n-I——+…-I-------2"2"2"]n2222"-'n-1nH------22222"T2஻/=2-(஻+2)-!-,7l=4-?2஻v/2஻4஻2"]58ஹ(I)0P(x,y)(ᦪy=/(x)NḄ4ᙠᦪy=g(x)N,1%=¦+aḄ¡¢P(x',y'),ᑣᵫ£¤¥4v2ᑖ,1y=y--2a,1X=X——a§ᐭᦪy=/(x)=—a--஺©4f.12y=y+\2a

87yrH---=—a(xr---)2-a...............2ᑖ2a2a,_1110•**ᦪy=g(x)Ḅ⊤¥Qg(x)=-a(x--)~—a...............1ᑖ2ala(Il)ᦪg(x)Ḅ¡®yQx=->0.ai/yজX0ீீ⊈ᓽaுJY4ᦪg(x)ᙠ±ஹᔊ,29NQ³ᦪ4a2Ah(a)=g(6)=-V2...........2ᑖঝXV2<—<2ᓽ!Tii<¿NÀG4Áভ-a----4—

884AB|_LCM4NOMC(\☢ÕC—AB1—BḄ£☢ÕᙠRtz\OCM©4OC=VLOM=—,tanZOMC==22OMZOMC=cosC+sin2•\☢ÕCABτBḄᜧßQarctan2................8ᑖ(3)ÊOÌON_LCM,TABУ☢OCM,AAB^ON0N4£☢ABC஺...ON(Oᑮ£☢ABCḄáHᙠAOMC©,OC=6,0M=g^.CM=J3+-=—2V42AV3.ON:"â=\^=ឤCMV155FÛÜBQBQ6äåH,ᑣH(BCiḄ©ABCiᑮ£☢ACB,Ḅ6æ஺'ç஺(ABḄ©.'.Bᑮ£☢AB|CḄáH(Oᑮ£☢ABCáHḄ2è(Gᑮ£☢ABCáHQ2ᓉ12ᑖ60ஹ(1)ÈÉ$SCḄ©K,Û஺êOR.ᵫ⚪G2஺஻8஺zë£)=g8஺l2QR//BCS.QP=-BC,2^.QR//PDS.QR=PD.^.PQ//DR,í஺î☢SC஺4,\PQ//^SCD.........................(6ᑖ)(2)ïÛÜSP,•••$ëJ.AZ),☢☢☢_LABCD,:.SPVABCD.$◌©4òW/QHSP,:.QHLABCD.ÌóCᵫôᚖDEöGᓽQᡠf\☢ÕḄᡈ÷Õ.-11ø6_—SP=----a=—a,2224ᙠù9CNPBC=90lPB=a,BC=a:.PC=a.22

89úHG=PHsin/.BPC=-ax-^=^=a.tanZQGH=—=i.=—,4V72V7HGi2----aa22s\\☢ÕjweQ஺arctaný(12ᑖ)2(2)ï\PQᙶ᪗
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91ÐIIÑÒᦪᑡT஻Г஻“Ñ{ḄÓ஻⚗º5஻ÔÕÖn஺>1qlim==0,ØlimS஻.ÐIllÑ஻Ð஻22ÑWNÃ஽>%*•>"Ḅᨬᜧ᦮ᦪqᵨq,஽⊤Û஻NÃḄᩩh.OÐIÑnI“qᡭ%=%Ý-%=3%%Ñn£^^^<0q”4=*^1^=jÐÞa1Ñᡠ]²ßàáâã¸ᨵ4-4=gÐ%T-4TÑ,k¬ᯠ஽-q>0,ᦑᦪᑡTg-4{WPÏᦪᑡ....Ð4ᑖÑÐHÑᵫÐIÑÖ2-ç=Ðè4ÑÐjéᦑ”ᵯ-ÐÑ=Ð஽-qÑ.ᔠS=Ð஻—<2,ÑÐ1+—■+—TH---F—~7H—^ߟÑ,ᡠ]'S,,=Ð஽-aÑЗ+—T+W■<-----1-—~-+—Ñt஻ïð2222"""22"|2"òð2222?2""2“’ᡠ];S,=Ð4-qÑÐl+K+g+…+£-ÐÑS,,=0,-a,Ñï4Ð1-^-Ñ-^ò,…Ð7ᑖÑkn஻>1q,lim=0,ᦑlimS=4ÐÀ%Ñ.Ð8ᑖÑ஻ߟ>8஻""T8ÐIIIÑn4>ᡭ>…>"Ð஻ö2Ñqbb_2%஻!"#4>fe>.••>/?„«>2Ḅᨬᜧ᦮ᦪ12.34n!"#ᒹ<0Ḅᨬ7᦮ᦪ.12ᑖ29%+஽<0஺4+஽-4L"<0=-~—<2"olog—~—0,Vᔠ⌕Y2ᑖJ஺<0LZ[N=஻/+1-1,gxᙠ2,+8Q\]ឤ7ST

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93b+—!—(஻€N*)//+i4^1=—>In/?+—>In/?+—(In/?+—)>lnZ?+-^-+-^-(ln/?+-)>•••%]xbxbb~x234>(1+!+Q+…)]nb=-lnb,ᓽMln஻1Lln^+->l,A=>—^-—

94b>lbb.11—bজ12ᦑ1,ᓽxWl,ᳮxx£l,%3<1,x„

95(2)°/(*)=᮱M6f+9xᙠsᙠQᓫ¶¡,ᓽo/«),"#⌕Y஺k(2)°¢ᦪ/(%)ᙠsᵨᓫ¶⌴¡,ᑣ0<$<á1ᡈ3

96Ñâ’ᦑSJ!ÀÄf—6x+9=᝕Ḅ¹᪷1/(0=^ᵫS4ÀĹ᪷äå3,ᦑs,4®]ᙠMæᓫ¶¡f(S)=kt(3)°¢ᦪ/(X)ᙠs,Hᓫ¶⌴£ᓽ1WW/3,f/«)=繺»◀¼᦮ᳮgS2(s—3)2=è"—3)2,ᵫ1==஺ᓽZe(0),s/!ÀÄ/—3x+Jl=0Ḅ¹᪷244ëÀì379-4k3+J9—4%ஹ"í9î229ïQgJ0<᝕2)ᡠ%=n(nGN*)a\a2an-\12n—11(3)=9ᵫ(2)gh,h~b+h>h>b_>...>/?)>0,fl+}nnHnxᡠó஻,ô!ᓫ¶⌴¡ᦪᑡᦑ⌕xh2<1(஻ீ᜜\◤x/<1

971119k=l,ᑣ4=M<1ùᯠᡂükN2,ᑣ2+èMý+஻<-5þ”+ÿ2kk,..111E11111ஹ111k—T▲&+1rzzᡠ-------->=(--------)+.+(------)+—>------+2=----b“+\b„k,bb"tbhPkkkk2ᡠ<—8—<1ᡠᡈ<1(஻WA)*k+1,"஺66ஹ(1)ᦪḄ#$%&(—1,+8),/(x)=2*(x+l)-L]=2X(X+2)1x+1x+1ᑖᵫr(x)>00x>0;2ᑖᵫr(x)<00—l/2N,TUV/(x)ீ᪷ឤᡂ[._e9ᑖব^_/(x)=x2+x+஺Aᓽx+1-2ln(l+x)=Q.bg(x)=x+1-2ln(l+x)Aᑣ2Y—1g'(x)=1-----=-----.ᵫg'(x)>00dு1;ᵫg'(x)<001gফ>gপ10ᑖᡠAja>1NA^_lmij3—21n3

98qEᡠr,aesl,+ootUs-oo,2-21n2tNA^_lm;aes3-21n3,lfᡈa=2-21n2NA^_ᨵvm;a£s2-In2,3-2In3fNA^_ᨵpoTUḄm.14ᑖ67ஹms1tja=lNAজs{=s|+}+1tfAজ"t=e-+xt.…s1ᑖtjN▬ᡂ,0lx<0.……s3ᑖtজsxtḄᓫ⌴456&s0,1t,ᓫ⌴856&sfo,0t,sl,+oot.……s4ᑖts2tᑗḄ᳛&k=g'0=-e-xl=-lAv=0Aᑗ^_&y=-x+l....s6ᑖtᡠ☢&S=f[e-x-(-x+l)]'(x)=(2x+a)e~x-e~x(x2+a-tta)=e~x[-x2+(2-a)x]>...(9ᑖ):জ'(x)=0,0ᡈ=0x=2-a.……(10ᑖ)ᑡ⊤᝞:X(-00,0)0(0,2—a)2—a(2—a,+oo)জ'প—0+0—জ&X'᩽/᩽ᜧᵫ⊤?Aজs{᩽=(),M஻3)ᙠ(-8,2)E4ᦪA……(13ᑖ)஻sat<஻ফ=2<3,ᓽs4-0¡¢3,MT£ᙠ¤ᦪa,¥জsxt᩽ᜧQ&3.……s14tC2)68ஹm(1)ᵫ6=—A0==l-e=—;s2ᑖt3a23ᵫ¦/}—ு+2=0§ᙊ/+ு2=2ªᑗ,0a=|6|.ᡠ¬=&,4=6/?V2ᡠ®ᙊḄ^_M+”=1.s4ᑖt32s2tᵫᩩ±A?IMFglMPLᓽµ¶Mᑮ#¶F2Ḅ¸¹Uº»ᑮ¦L:x=—lḄ¸¹,ᵫ¼ᱥḄ#$0¶MḄ¾¿C?Ḅ^_y2=4%஺s8ᑖts3tᵫs2t,?Qs0,0t஺Hs¥Ayt,Ssᔁ,ÇtAᡠÈ=s?A%t

99ᵫÉ-RS=0,0■'¡9)1)+%(y-y,)=0.2&y*&AᓄÌ0¬=%----(10ᑖ)/.Í=Î+Ï+32227^+32=64jKÐjᨴ2=Ò,ᓽᨴ=±4NUÓᡂ[t.(12ᑖ)vlQS1=+yj=-7(y2+8)2-64,Vyi>64.ᡠjyi=64,ᓽ%=±8N,1QSl=8V5.minᦑIÔIḄÕQ×ØÙ.+8t஺69ஹms1
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ᙠ®ᙊEwnPM+F2M=0,MᙠyÜEAAM&PஹF2ḄݶA-------------------2ᑖ-y/2+c=0,c=y[2.--------------------------3ᑖ/.ᵫa2-b2=2,ঝ-------------------------4ᑖmজঝAm0ß=2s/=_]àátA./=422ᦑᡠ®ᙊCḄ^_&â+±=1஺------------------6ᑖ422
•••¶஻s%,%tᐵº¦y=2xḄåæ¶&ç|s᳝,étA,■8ᑖ%+%2“°+ê22

1004%_3ᐭ()᳝5-----------------ioᑖm0<3%-4%5/.3í4%=-5x.----------------11ᑖ0x~v••¶Psx,ᐜtᙠ®ᙊC1+ï=1EA/.-2?@1PE-PFḄᨬᜧDEᓄ61NPḄᨬᜧD...................8ᑖ2PI2ᙊMKḄL8MNO஽஺R.ᑣᨵT-+%2=1ᓽKo?=2-2ᡭ2N(0,2),ᡠ/2=x2+(y-2)2=-(>--2)2+10.................10ᑖ000?%wc—Ueᡠfᐜ=1h?2iᨬᜧD9ᦑ〉•?ḄᨬᜧD68..................12ᑖ

101mὃoᫀq71/#I.ᵫuv00A-OB=m,6w.•1ᑖ=-2mn=8!2.......4ᑖ4#II.NPMᙶ᪗6#/y.#1>0.,ᵫz={+{0#x,y.=m,V3m.+#஻-6஻.=m+n,6m8஻.........5ᑖx=m+nm,n%0y=yj3m-nf8-=4mnmn=28ᑖ342PMḄ456-g=1#xு0.⊤ᙶ᪗M6ᯖMᙠxK62,ᯖ64Ḅ2=1Ḅ........9ᑖ#III.N1Ḅ456x=ty+2,@ᐸᐭCḄ4503#.+2>—V=3ᓽ#3/81./+12.+9=0᧕v#3/—1.W0#ᔲᑣ/Ḅ¢᳛6±JJ,¥¦§¨©ª«ᔠ⚪®.¯=144°-36#3/-1.=36#஻+1.>0Nw#±%.,%#஽%.ᑣ+²=ᡈ%´²=ªᓃ,//¥CḄ¶·¸MM,NᙠyḄ¹2=(9+2)(“2+2)=/6%+2«%+%)+43+²²+43/+4>03/813/81<0,ᓽ0<,<<

102ᵫ᳝+¾2¿0ᳮ%00ÁÂÁ,........11ᑖ2—᳝=3(2—%2)ᵫÃ=3Ä0#2—᳝,8%.=3#2-஽,6.OÅ=3%ᵫM+%=-3%+%=-2y2=-0Å=1ᵫ=(—36)%=-3$=0£=60'r-l1.2=~3r'-l/Ë0qJ=15"Í0ÁÁÎ3........13²#3ᑖᦑᡠ1/Ïᙠᐸ456q?x-y-2<=0ᡈJFx+y-2⌲=0......14ᑖ72.

10322.Ò⚪Ó⌕ὃÕÖᦪ45ஹªØÙḄÚÒvÛ⌕1ÜÝÞᑭᵨÖᦪḄ4á/âãᦪḄäåឋᨬDç⚪èéᔠᳮḄ⌶ë᪀⌼ãᦪḄ4áÃîªØÙ.ïᑖ14ᑖ.::(I)//(x)=x+-,g/(x)=a+l>...................................2ᑖxl/(x)=yx2+alnx-(a+l)x,V/(x),g(x)ᙠðñ[12]Kò6ᓫåãᦪôḄᓫåឋõ2=+Vxe[U],(o+l)(a+x2)^0,.............4ᑖX•ö-x?«-L4-x?ᡈa>-1(aw-1),X(-x2)=—4BO9öa<-4ᡈ஺>81.......................................6ᑖ(2),.,//(x)=x+g_(a+l)=x2(a+Dx+JD(x*)=0=x=]ᡈ“°,XXX•.•ᑐ2-(1+1ù+஺=0ᨵ¶ªØ"᪷1ஹ0a0,«a)ᙠ(l,e]ᓫ⌴.................12ᑖa«a)>r(l)=0,r(a)ᙠ(l,e]ᓫ⌴•Z2zZLL•••|H(x)-H(X)|<1
Ḅ,oa,]ᡂ".............14ᑖt273%:(I)0

104fr(x)=6x2-10QX+4Q2=2(3x—2a)(x-a)=6(x--)(x-a).......5ᑖ(i)2<"0,xe(2,1/'(x)<0..•./(X)ᙠ0,Fᓫ⌴ᙠGᓫ⌴H,^.g(a)=f(-)=—a3-b.....................7ᑖ(2)14I■WZ,ᓽ:/'(x)20,/a)ᙠ(0,1Lᓫ⌴.^.g(a)-f(l)-4a2-5a+2-b,....................9ᑖ28,“3.Ra3-b,(10,ggভᙠ(4)G]Uᦪid777ᑣg(a)<—I—I—b=---h.---/?K0,m஺2—.......জ.............122712J222ᑖ33(2)g'(a)=8஺.5>0,gg(a)ᙠ—,3G]Uᦪg(a)Ḅᨬᜧ\]g(3)=23—6.q.23—஺W0,rb>23......ঝ....................13ᑖᵫজஹঝv`ᦪ஻Ḅx\z]Z?>23.....................14ᑖ2274%(I){ᙊCḄ~R=+2=1(஺ுᓃு0),ᑣ“2./>2=i.....জ……1ᑖQ-bb2b2IᚖbxA,Bᙶ᪗ᑖ](1,.)(1,.——),aa

105-►ߟ►h2h2h4/74S^.OAOB=(1,—)-(1,——)=1..ᑣ1..-=ᓽa2=6//.......ঝ…3ᑖaaa~6ᵫজঝ஺v6//_ᓃ2_1=0....஺2=_1ᡈ஺2=.().23172ᐗ2஺2=G2=-.g{ᙊCḄ~R‘.+2y2=1.....................5a223ᑖ(II)ᙠ^_ᩩḄ/.প/ᚖbxᵫ(I)Ḅ%="-=ᯖ/ᑮ¢£Ḅ¤¥2[d---=~,g^_21AM.cc2211g/ᚖbX^_ᩩ.......................7ᑖ(2)/ᚖbx/Ḅ¨᳛Rªᑣ/Ḅ~Ry=Mx-1).y=A(x-l),ᵫ«2*2(6k2+2)x2-I2k2x+6k2-3=0,[+216%26k2_3Ḅᙶ᪗ᑖR°±)஺2²)ᑣR+%2=—2——X\X2=-7—--3k+16k+2|A—J1+³~|.¥|—X-y|—J(]+ᦇ")[(<¥]+¶)--4R·?]=J(I+k2)[(-^—)2-4(^^)]=..............................9ᑖV3k2+16k2+23k2+1,2¹ABḄ»RM,ᑣ¼½=¾¿ᒹ=TM23k2+1-A48PRÃÄÅÆMPḄ¨᳛RªÇr1--z*••.4=|,\MP\=^l+p-x-x,|=^1+~T/33ஹ/1+P-3/2+1)Fwk223k2+17k22(3/+1)...........................11ᑖll+k23(k2+l)_V3ÍÎ2+I)A4BPRÃÄÅÆ,ᓽ1dk22(3/+1)23Y+1%vᦇ2=],...............................k=±l……13ᑖ

106g^_ᩩḄ/ᙠÐ/Ḅ~Rx—y—l=Oᡈx+y-l=O.........14ᑖI0II75%(I)•.•.=(—1)"-------,—(-1)"=(-2)[——+(-l)”T].................3ᑖ+ana„a„-i¹-'-+(—1)=3,..ᦪᑡ-1-+(—1)”]]✌⚗R3,ÔÕR.2ḄÕᦪᑡ.....5ᑖ—+(-l)n=3(-2),,-'ᓽ%=-^—.............6ᑖ)a„"3.2,1-'+1(IDb=(3-2"T+1y=94"T+6-2"T+1.n$Jd×J(l-2)+“=3.4“+62+஻_9.....................9ᑖ"1-41-2(III)•••sin(2“1)²(_1)12...........................10ᑖ3(—2)i—(—1),-+11111“23,ᑣ7Ø---------1----------------1----------F…-I:------3+13-2+13-22+1--------32.+11111111An-(ir2]<----1-----------------473-223-233-2,,_|28n-2]

1073
஺ç0,X321(—,—)(--,1)(l,+oo)aaaa4-0-0+/'(x)᩽ᜧ\H᩽a\f(x)3/(——)>0Jপ<0aপ=.é஺Rᨬa\aL"+ê20ë;◖,+00aaLa:.aG(0,ln3]X—977ஹ(1)஻=2f(x)=-------Inxxlnx-x+21f'(x)=-----------t(2)=------,....................................2ᑖxln2x---------------In2¹/ফ=0ᡠÛᑗ~Ry=-L(x—2)....................................2ᑖIn2(2)1஺0cx<1Inx<0,ᑣ^-->y[x<=>a>x-VxInxInx—2—Inxïg(x)=x-VxInx,2y/~xðï/z(x)=2y[x-2-lnx,hr(x)=~^=--=~~-<0VxXX0/z(l)=0,••”ò)=ᓧ>0,ᡠÛg(x)ᙠ(0,1)G⌴,g(x)1lnx>0,ᑣ^ߟ->y!~x<^>a

108xa

109/ஹ஻(x)ஹnX>1h(x)>h(Y)=0,g(xF>0ᡠÛg(x)ᙠ(l,+oo)G⌴g(x)>gপ=1/.<2<1:................5ᑖᵫ1°û2஺v4=1................1ᑖ78ஹ%(1)ü⚪
/]Uᦪ/(x)=ln%m(1,0)ᜐḄᑗᦑᐸ᳛=/(1)==1ᡠ/Ḅy=x—lV=x-lJ1Q/g(x)Ḅ!ᑗᡠᵫ#I,7=—/+(()l)x+-=0y=,x+ITIX+-22I22.A=(m—11—9=0ுm=2(4=46ᔠ⚪9:;)(II)h{x}=/(x+l)-g(<)=ln(x+l)-x+2(x>—1),ᡠ஻(x)=—!--1=—x+lX+1B)l0;Bx>0D-/i'(x)<0K/z(x)ᙠ(-1,0)ᓫO⌴Qᙠ(0,+8)ᓫO⌴S஺KB<=00U6(x)W.ᨬᜧZ[(0)=2h—a(III)B0<6

110y2=4x?.ᡭ20-414ᦇ=0,ᵫ1ᑖy=k(x+1)*0✌ᐜᵫ,.)1<<1᝕016-16Z:2>0?஺~ᨴ)ᐜ)”44^QA~»ᳮ=2ᑖ22/)yy,ᐜ+%+0r44ᵫQ4LQ3.)--1,2ᑖ2ᓽ:ᳮ+(+)+%>2=T6,•••y22+-4y+2O=O,2ᑖooA=(l)2-80>0,.)¤4k4¥¦W0,k55ᵫ—1-2,ᑣJ(x-1)2+y2=x+lny2=4x,´X<-2,ᑣy/(x-1)2+y2=)%)3=³2=8஺+1),µ<)2¶·.ᦑᙊ¯PḄ¸¹ºFᯖ*=)1Ḅᱥᐸj³2=4x.…4ᑖ

1114|É=Ê+|▢=஽+1+È+1=4+7,Ì᯿=2,4_´Ê=2ÎC|,ᑣ-,KD6¿ᙠ஺……8ᑖBmḄ᳛6¿ᙠDᑣভ=4ÎC|=2Ïᯠ|É=2\BC\ᡂÒᦑ¿ᙠmÓ1"=2Î஺|ᡂÒKDx=l.……ᑖm:9ঝBmḄ᳛¿ᙠDᵫজÊ=(ÊT)3Õ1)=ÇÈ=௃BmḄ᳛6¿ᙠD\AB\\CD\=^AF\-1).(jDF|-l)=(2-1)(2-1)=1.ᦑ×ØÙ9ḄZ.……13ᑖX="1

112ÚὃÜᫀ:81{jপᵫ⚪9]ja=l,b=0,:.f(x)=x2+2x..........2'oßᦪy=fx
áḄÙ9)Qâx0,%
ᐵØäḄ×åPx,y
,æijx=-x,y=-y,...........................4ᑖ00஺â᳝è◌Ḅᵨ4è-y=x2-2x,y=-x1+x,:.gx
=-x1+2x......7'ফFx
=—<2+2,x—Xâ<2+2x
=—l+2
x~+21—jFâXèᙠâߟìíQßîïPâx
=—2âl+/l
x+2âl—2
20ឤᡂÒ……9ᑖ1_2ᓽvᙠ_1~ñᡂÒ.............10ᑖ1+x1+xᵫ~——1ᙠ-1,1]Sßᦪ.............12ᑖBX=1DWᨬòZ0,......................13ᑖᦑó40,ᡠôḄWZ©ºâ-000]...........14-õ{j•••Fx
ᙠᒹᙊ÷ßᦪ.•.òx
=-2-2/l
x+â2-2/l
ᙠøìù(-2-22)+(2-22)>0{.440(-2-22)(-1)+(2-22)>082(1)ᵫk]a2)%——2,%———1úûd=-1-(-2)=1.........1ᑖ/.%+]-%=(%)%)+(஻-1)x1=஻-3.........2ᑖ஻“=஻]+(&-஺I)+(%-஻[)■1-----h-a-\)=6+(-2)+(-1)+0+…+(")4)nþ2)+(஻—+ÿ—OH..........................................................................................................................4ᑐ22ᵫ
b—2=4,Z?—2=2..........5ᑖx2ᡠq=,••“2=2£|=4XQ
..........6ᑖ•e=2+8x()7ᑖ

1132)ᡠk24/(%)ᦪ஺.....10ᑖ•.•/(4)=ᡠ᝕22/(k)2..............12ᑖ•••/প=/(2)=/(3)=0..............13ᑖᡠ!"ᙠ$,&/(k)e(0,g஺.....14ᑖ83.'(⚪ὃ+,-ᦪᑡ/⚗12n⚗3ᐵ56ᦪᑡ1!,789ᔠḄᨵᐵ=⚪஺>?@(1)AB@a=S-S_..............(1ᑖ)nnnx2s2C(5„-S_)(25„-l)=2S,@n1D“TS“=2S,,S,I..................(3ᑖ)^.------G=2(஻22),......................(5ᑖ)S.%ᦪᑡI-1-J-=1K✌⚗2K-Ḅ,-ᦪᑡ஺(6ᑖ)S”Sy(2)ᵫ(1)-^ߟ=1+(/?—1)x2=2/?-1,S=-----nS“21+12/7+1(7ᑖ)(1+S,)(1+S)-(1+S„)ᑣᡭ஻+i)(i+s,R)2F(஻)J2஻+1'F(n)-72/1+326+24n2+8n+4,—;------------>1...............(10ᑖ)J(27+l)(2஻+3)4஻~+8஻+3CS(஻)ᙠ“wN*T⌴,⌕&S(“)NZឤᡂY,Z◤\S(n)minN᝕=^(D=τV3-A0<^<|V3,.-.k=|V3.............................(12ᑖ)mM

11484.'(⚪ὃ+]ᙊ_ᓫabឋdஹfg1]ᙊḄhiᐵ56ᔣklḄmᵨ,2c=1FF1=2,[2-----*—*------a2—*>@(1)ᵫoKB=2NKIὡq1=2,.•1——1=1NF.1=1,_ca2=b2+c2.\2-2x2a>r4,stᡠu]ᙊḄvwK+y2=i.......................3ᑖxb2=l2•:NA6NB,A,6,Nyzᐳg,tzNḄᙶ᪗K-2,0
.fgABḄvwKy=k(x+2),ᐸkKfgABḄ᳛ᩩk/0.y=k(x+2),ᵫr2|}xr(y—2)2+2/=2,ᓽ\^y2_9+2=o.—+y=1k[2_z42_2^+A<0,>r0r4R◖¯W'"4<326+1532+1562

115V2V210?¬:ᑗgPAḄvwiᓽy2
1+2ylX.X1stᑗgPAḄvwKx=+—,ÇᳮrᑗgPBḄvwK%=Éᓝ•2%È2%y2XyX+1_2KᨴxyX02"È>rzPḄᙶ᪗/,ு0xÍξᵫ■XX+12yV஺=—=-------2y2K¯2ᨴÏ%+2=4Ð2+2
τ᜛Óx.+2+2Ñᵫ'r-------------=k2%ᓛK=2ᨴx•A+%=%2Xx%஺-12,2-%x11ᑖxx-Xj_122K¾x2kABOV1V2×.1஽V3Ùᵫ1x—

116°±zPᙠfgx=-1TÛ½zPḄÜᙶ᪗Ḅ´µ·\1,᧵K(12ᑖ)2x\>?C¬@zPḄs᪗K஺0Ý)ᑣrᑗgPAḄvwy—=--L(x—Xo),2yltzAQQI)ᙠ±ᑗgTᡠᨵ¾ᡭ=--—(x,-x)ᓽ02ylx()X|+2%=x+2y…(9ᑖ)ᡠᨵxXj+2yy=2,জ0otÇᳮrxx+1yy-2.ঝn2o2᪷জ3ঝfgABḄvwKxx+2y0y=2()tfgABèzN(—2,0),/.-2x=2=>x=-1,fgABḄvwK00-x+2yy=2,o1........................পᑖ02yoᵫ(1)——(1)ᦪ/(x)Ḅ÷ø(ߟ$0)஺(0,+8).ú“X)uÀr/'(%)=—C=(>1)(y©.......(2ᑖ)x+—xx2(x+—)223ᵫ/'(%)>0,r/<ᜩ<1ᡈᑍ>3,ᵫ/(x)<0,rl

117ᡠ*+ᦪmḄ,-/0ᦪ஺(x)=lnx—ீXḄ-5........(6ᑖ)7°(x)9:;“(x)==-Lx2?“(%)=0,;x=2,ABCᜩு2FG“(x)<0;C0cx<2FG“(x)>0•Cx=2F,;ᨬᜧ-,B0(x)max=0(2)=In2—1.PCxQ▲STU0FGInxQ▲STU-8,-VxQ▲STU0,2WXᨵ=Inx-^xQ▲STU8.![ᦪ஺(1)=lnx--1xḄ-5(-oo,ln2-ljᓽ+ᦪmḄ,-/(ߟoo,ln2—l]............(9ᑖ)[c]:eg(x)=gx+fᨵ+ᦪ᪷hiUjkg(x)=gx+flmky=lnxᨵoᐳqGABCjkg(x)=gx+rlmky=liu•uᑗFGm,;ᨬᜧ-....(6ᑖ)wjky=gx+flmky=InxuᑗGᑗq"7(%,z).ᑣ7y=Inx9:;11—=2X஺y'=—,᪷}uᑗᐵ;

11832Pᵫ(1)·GCx>0F,/(x)=/(x)=ln(3+1)+->0min3232/(x)=ln(x+-)+-----,/(x)=ln(x+-)+—>0.I1222Xj>02x2¸ᵫk>0,·;g(Xj)=InXj>0,g(%2)=lnx>0=>□>l,x>1.22ᵫU᳝A/Gᡠ*¼w1½ᓛGᵫজঝ·;3232

119(x+—)+—¿+—)+——]2Xj_2x2InXjlnx2ᑭᵨÂÃឋÅ;In᳝lnx23232ln(l+—)+ln(l+-^-)+—ᓽ-----"2XÆ2/+ஹ-----L2------(*)(13ᑖ)InXjInx2ᵫUInx(L+oo)ÈḄឤᦪGBlex1½Ë2GGᵯͽ1.InÆ232PᵫUln(l+—)+—(1,+8)ÈḄឤᦪGB2xxln(l+7.---2XX22323232ln(l+——)+—ln(l+——)+—ln(l+——)+—Inx,2x.x,2x,x,2x,x,_.,ஹ^=—L<-------9——9o--------!-----L>--------=------GÎ(*)ÏÐÑ஺3x2L2ᚈ¸

120xln(1+)+22XX22![ÓÔᩩÖḄᦪkᙠ................(14ᑖ)86ஹ(I)wjk/"x=O+4,Øᐭ/=2px;/2ᑗy—8p=0wÛ(¸GÜ),஺(=2G%)Gᑣᨵ%+"=2ᑗ,Ý=82XOPOQ=0,ᦑ0=□Ü2+%Ý=(᝞+4)(62+4)-8p=â"+(+Ý)+16—8஺

121ᓽ0=-8ᦇ2஻+8Z?p+16-8஻G;p=2,ᯖq/1,0
.II
wRQ,y
,ᵫX+XcX;«¸1,%
+%2-1஺2§=«
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ïÓÔð=4x—28.ᡠ*y2=4%—28ᓽ"ñqRḄòó.87ஹ᪆পᵫ⚪ö·a-c=J5-1B“2+஺2=J5,;°=÷8=c=i,.,.øᙊḄ"ᱏ+/_122
ᵫ«1
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,Øᐭஹ+y2=1G;«2G+l
x2-4Tx+2k2-2=0Gw4íG%§,8%஺2§GüQ,+X,=^L,X,X2=^U^জc%+"'-2o+1I-2/+12kz+1—•—►4Y-2k...஺+C8=«´ïyτ
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$⚪&'(ᙊ*+,+,=1஺>8>0
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,c=y]a2—b~,........1ᑖ

122ᵫIF81=2,>J@c-ᔊ+প—F=,2ᓽ@஺GH2+2=4,">c=2J஺........3ᑖ22I,-xyiM:b=2,^.a2=c2+/>2=12,ᓽ(ᙊ*+O+=-=1஺……4ᑖ124@2ᵫIAMI=IANIT4AᙠUMNḄᚖWᑖXy=kx-2ᵫ/YZy>G+3@\G2]=121124BP@l+3fc2x2-12fcc=0@*.......6ᑖᵫZHO,>*+@*ḄA=@-12A2="442>0,ᓽ*+@*ᨵghijḄkᦪ᪷஺.......7ᑖ'M@Xi%ஹNX,y,UMNḄq4]@x0,r22%1+x_6k2ᑣ…,O72-1+3s6k2-2(1+3Z:2)-2ᓽ]@yߟKG2.....9ᑖ1+3s1+3)12•••᝕W0,,APḄ᳛k.=G=-2-2(1+G),..........10ᑖ16k6k1+3&2ᵫAP1.MN,>12-2(1+3k.¢z=h1.....................11ᑖ6k2+2+6ᦇ2=6,">#k=£—,ᓽtano=±—,...12ᑖ33M04a<»,ᦑa=——ஹᡈa=——,667Tஹᑍ^.ᙠ/⚪&ᐸa=Xᡈ£="஺.........13ᑖ6689ஹ":

123I
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ᵫ%+i+%=4%+2>᜜+1-@2+2
=-@᜜-2%
=…=-1
*2-2
M=2ᡠ᜜=2n...3E!<1j
ny4«2+8«+490ஹ"#@IᵫT>=஺-1,=4,%=2஻M4+%=2஺23-1
+2஻=8,ᓽa=3......................................2ᑖq=2,sd=a—a—2.2xᵫ-=k%+k*Jd,>....................@4ᑖ2Z+"H5X2=25502ᓽ᝕2+%—2550=0.">᝕=50ᡈ᝕=—51Z.஺=3,Z=50.....................................@6ᑖH
ᵫS“=஻q+1d,>S,^2n+-'-Vx2^n2+n......................................8ᑖ"2s:,b=—=n+1.....................................@9ᑖnn,{%}¢jᦪᑡ.ᑣ4+%+¤1+…+¥4஻_]=3+1
+7+1
+11+1
+…+4஻—1+1
4+4¦"G§=----------.................................11ᑖ2/.by4~hj+4]+...+b4஻_]=2"~+2/1.............................12ᑖ

124¨ὃªᫀ#91."#(1)¬a=b=l®>/(1)=()2ᑖMᑠ=°/2±+“ফ•••C)=-5ᑖ(2)f(2-n)=/(2-1•2'"")=2-1/(21-")+2'-"f(2'l),.f(2~n)=2n-'f(2'~n)-2~'.¬b“=2"/(2-"),29ᑖᦪᑡ¶·¢s11=-;¸=2/q)=-:Ḅjᦪᑡ12ᑖº=¸+("-1"»>=-[(2G")=-7^714ᑖ92."#(1)ᐙᑖឋ#^a2+b2=0.a=b=0/(x)=x|x|ÁÂ&ḄxeRÅᨵ/(-x)+/(x)=0.../(x)᜻ÇᦪᦑᐙᑖឋᡂÉ.2ᑖÊ⌕ឋ#f(x)᜻ÇᦪᑣÁÂ&ḄxeRÅᨵ/(-x)+f(x)=0ឤᡂÉ,ᓽ-x|—x—+b+x|x—a]+b=0¬x=0,>b=0¬x=a,>a=0»a2+b2=06ᑖ(2)ᵫ2ᚗ-3VO,x=0aÑÂ&kᦪjÒឤᡂÉbbOVxgl/(x)ீ0ឤᡂÉÕᓽx+—VaVx——ឤᡂÉXX¬g(X)=X+2ᙠ0VÖ1XᓫØ⌴Úa>gmax(x)=g(l)=l+ᓃ1஺ᑖX¬6(x)=x—g,ᑣMx)ᙠ(0,ÝÞXᓫØ⌴ßᡝ,+8)ᓫØ⌴Ú1஺b<_l஻(x)=x-2ᙠ0

1252°—10bV2ᖾ-3h(x)=x-->2yTb,Xaa2x2+(a-3)x—3a>0,/.(%—3)(x+a)>0ÁឤᡂÉ,M,.x-3<0ឤᡂÉ+஻<0Áxw[l,2]ឤᡂÉ,a<-x,X-xe[-2,-l],a<-2.(2)ᵫ4=(Q—3)2—4(/G3஺)0>#Gæ'஺,p,ᑣq,rា*+g᪷ᵫêëìᳮ>#জp+q+¤=3,q=ra2-3a,p2+q2+=஺2+(q+r)2-2஻=஻2+(3G஺)2G2஺,3஺)=9ঞïp3+᜛3+/=/+(஺3+/)=/+(g+r)[g2_"+/]=3/Gñ/27.+'g(a)=3/-9a2+27,®ò>#g(a)=9a2-18a=9a(a-2)஺2,3]g(a)>0,g(a)⌴Ú;aw[0,2],g(a)v0,g(a)⌴ß;,g(a)>0,g(a)⌴Ú,/.g(a)ᙠXḄᨬôõmin{g(—l),g(2)}=min{15,15}=15(3)H(a)=--{g(a)-27=--(3a3-9a2),᝞÷ae(0,l),ᑣ663iH\a)=3a--a2=3஻(1——஻)>022ᙠ(0,1)⌴ÚÇᦪ1R,//(a)e(H(0),”প)=(0,1),va„-H(a„)=--(3a3-9a„2)+1n6/.ae(0,1)=aG(0,1)=•••=>%G(0,1)=…}213jMTa“+I=_"G%=Gজ஻—2)(%-1)<0'-an\

126a2+b2=1,a21-------2ᵫCḄE,ᯖ.c=lᨵ2313563.7&8=LV3b2Tᡠ=EḄ"#$:ᙛFGHF,(2)?@2...AN-c,0),B(0,c),ᵫ
=(3+2)
62H(0,EḄ"#$2"=1J஺K0LK0F,a-bজNᐭঝᓄR᦮ᳮ63a,+6஻2r—/=(),..(2)4&6(2)2—3=0aa56(2)2=3+26.a[e?===1+J21=4+2Vi_.e=4+26=6+1,ᓽEḄ`a`b6racCdᐵḄfᦪ஺J3FᎷiᙠjᦪklm=LᡠឤᡂpqJ-c,0F,C6,rFᨵ,CV3.;-CHA------•/I22XF——L=---1+s1+sF&2F&F,CFuᙠEᦑᨵ.2J1+2F2J1+2FC2(2-2)23c2wট4a2(1+x)2462(1+4)23஺2c~—4ᵫঞ6z2—{=4=K|=^_h2b23ঠNᐭট6"(1—2y_2_•_=1,ᓄR᦮ᳮ6&ᡂ2+/=2/1+1(e4)4(1+A)24(1+/1)2ᓽ4=ᑭᵨJ2F⚪Ḅ62=2±=1±3,e2+26+2V34

1271G—►——►ᦑiᙠjᦪ2=KlAF=/LFCឤᡂp.495.(1)/.'(x)=a/+2"+c,ᵫ⚪ᦪḄx6/(l)=a+2/?+c=0জf(m)=am2+2bm+c=-a@[a<஺01-<ᵫজ6c=-a-2b,Nᐭ஺hc,ᵫ஺30,63c=-a-2bNᐭঝ6am2+2bm—2b=0ᓽ"#o?+2bx—2b=0ᨵj᪷ᦑᑨ=4/+20,6(2/+2(-)20,626—2,ᡈ22஺টaaaaᵫঞஹট6042<1a(2)ᵫ/'(%)==2+2"+0Ḅᑨ1ᐭ=4"—4acஹ>0"#r(x)=a/+2bx+c=0(*)ᨵw¡j᪷$X”X2[ᵫ/(l)=a+28+c=0¢=1$"#(*)Ḅ&j᪷ᑣᵫ᪷c¥ᦪḄᐵ¥6¦+/=&§=---1<0X©/(x)<0,¨ᑍ20ᦑ¬ᦪf(X)Ḅ⌴®¯°$X2,Xᵫ⚪X2,X1=S,t,2bb±²Is-t1=1x-x1=2+ᔞ,ᵫ(1)0W2<16Is-tIḄ´µ·$2,4)I2aa(3)ᵫ/(x)+tz<0,E|Jax2+2bx+a-\-c0,᦮ᳮ6Qx-2).2+x2>0xaa8(2)=(2*_2)&+/,º=»¼bᐵ½9Ḅ&8¬ᦪᵫ⚪aaag(-)>0¾½042<1ឤᡂpᦑgপ-஺ᓽÀ2+2x-2206x<᧎ḄNÂÃaag(0)>0x2>0ᵫ⚪Ä,+8)c(-oo,-V3-1)3-1,+8),ᦑÅ26-1,±²kḄᨬµ$J5-196.(1)2/(—1)=0,^.b=a+l,ᵫ/(x)NOឤᡂp:=/_4஺=(஻+1)2_4஺=(Q_)24o,

1282(x+1)2(x>0)£7=1,ÊËf(x)=+2x+1,/.F(x)=<-(%+1)2(X<0)(2)ᵫ(1)/,(X)=x?+2x+l,.,.g(x)=/(1)&=+(2—&)x+l,22-kᵫg(x)ᙠÎ-2,2ÃbᓫϬᦪ2&&Ã&4&2ᡈ&——>2,6᝕4&2ᡈkN6.(3)2/(x)bᏔ¬ᦪ_./(-x)=/(x)Ëa>O,:./(x)ᙠÎ0,+oo)$®¬ᦪ¾½Ô(x),¨x>0©—x0,Õ(r)=)(&x)=/(x)=-Õ(x),F(x)b᜻¬ᦪ,×Õ(x)bᙠÎ0,+8)$®¬ᦪ,¨mn<0,mஹnÛÜপ¨Ýு0,஻<0©ᵫÞு&஻>0஺(Þ)>Õ(&஻)=&জ(஻).•.Õ(m)+1(஻)>0.(")¨Þ<0,n>0©ᵫ">-m>0Õ(")>F(-m)=—F(m),F(m)+F(n)>0.àºÔJÝF+FJ஻F>0.97ஹ52J1FPᙶ᪗$Jx,yF,ᑣ,Ô+1å=æ,ᓄR6Jx+3>+y2=8,7Jx-lF2+y22ᡠ=CḄ"#$Jx+3>+y2=8_J2FCb=J-3,0F$ᙊa2k$,çḄᙊC'æèéb&,ç$2kḄᙊ,J-3,0Fᐵ½êy=xḄ¾ëḄᙶ᪗$J0,-3Fᡠ=CḄ"#$x2+Jy+3F2=8,I0-(-3)+m-311mléᙊḄᙊaJ0,-3Fᑮêy=x+m-3Ḅ.`d$ï"+(&3FS/^ABO=gxdxIAB1=gX"X28-d2={(8-^-)x*=V7=1,ᡈ“&=7,ᡠ=tn=±V2,ᡈÞ=±JiW஺2298.(1)5:a=2a-n2+3஻ºᓄ$஺ó+2(n+1)2+஻(஻+1)=2(*+An2+g,n+lnBPa=2a+An2+(஻-2A)n&4&஻......................(2ᑖ)n+inA=-12=-1ᦑ<஻-24=356.....................(4ᑖ)—2—//=0

129•*,a=2a“&஻2+3஻ºᓄ$4ᵨ—(஻+])2+(஻+])=õ4—஻2+஻).........(5ᑖ)n+l[%-Ô+1*0..................................................................................................(6ᑖ)ᦑiᙠ;1=-1,4=1l6ᦪᑡø2+ùúb¡ûᦪᑡ..........(7ᑖ)ফ?@2ᵫপ6a-n23+n=(a-l2+l)-2n-1^.a„=2n-1+n2-n,n1ᦑb„=---------------=-V.....................................................................(8ᑖ)14422,------<,-.--------......................................(9ᑖ)n24஻2An2-12n-l2n+1222222An>21ft,S,=஻+a+ý+…“<1+(-------)+(-------)+•••+(------------------)"123”35572n-l2n+l5<-11ᑖF32/z+l36஻ÿS“>522).(n+1)(2஻+1)6n_12_454஻=2S"=1h,+2h=1+—=—,—>—n244(஻+1)(2஻+1)3x5545ᦑ஻=2ᡂ......................................................................(12ᑖ)“23ᵫ0=>ߟ—=-nnn4-1)nn+i5.=4+஺2+%++2>(1_)+(g—)+(_)+.•+(=1-------=---ᵫ2஻+1>61>---,n+1n+12n+1°஻6n••S>------>......................................................................14ᑖnn+\(n+l)(2n+l)99ஹ!I
"⚪$%+10=100ᦑ”=10%஻22a=9S„+10n+]4=9%+10জ-ঝ)=10anᦑ*%+,-ᦪᑡ,a=aQi=10"(neN*),nlga“="lgtz„-lga„=(஻+l)-“=l+lᓽlga஻+23ᦪᑡ(H)ᵫ(I)4T=3(—+—+A+—1—)“1-22-3஻(஻+l)cï11111)=3--^=3(1-----1---------1-AH--------223n஻+1n+13(III)■c-T=3--------'n+l

1303஻=175ᨬ78931o"⚪$ᨵ>(725;)24!-l

131_3(i_J_)JW3133T=4+4+…+"=-^~~-2—=——(1——)=——+.■12n]2T22ᔣ1—2CIVTC_|_VTᦪᑡ;——abcᦪᑡḄᐙ⌕ᩩha——+B,(AஹBaiᦪ)nnᓽS“+47=4/+5஻22—CCT3n-3nk“33ஹn-3nAXZ1Iஹ]S஻+¦=+--—+3+/t(--+—7f)=---+3(1——)(1——)2222222•,lmnl1^4=0,ᓽ4=2oᦪᑡ"+"~pbcᦪᑡ.2nq;9rᙠ4=2,tᦪᑡI,Jabcᦪᑡ.nᵫপஹ(II)v4+22=஻^2&.S“+2T=0-2஻«(«+1)cCT-75+27,_22/?-2/"_n-32-2==-T-+4nn2n]…+5…x=T-)33-------1--------22"+'—2S+^T஻-3+4—2nn(-/)n2n22n+llmnl&I=2oᦪᑡabcᦪᑡ.n