高考数学冲刺-高考数学压轴题精解100题

高考数学冲刺-高考数学压轴题精解100题

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时间:2023-07-17

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310ஹ56ᦪ/(x)ᙠ(-1,1)ZᨵÚX,/(3=-1,ÇÙÚḄxஹye(-1,1)®ᨵ“x)+")=/(A)1+í12ᐗপNᦪᑡx“<=᳝=7x“+|=■'(஻€N'),'/(x“).21+ð(2)'1+/(3+/(1)…+/(ñ3~-)+/(^-)Ḅ.511n+3»+1n+211.ᙠÒᙶ᪗ò☢C^ABCḄy«⚔z#A(0,-1),B(0,1)ò☢ᑁyzGஹM\R<=জõ+ö+÷=0,ঝIù1=Iú1=IẄঞy஻ö(1)'⚔zCḄËÌEḄ(2)PஹQஹRஹN®ᙠÏEZCWzFḄᙶ᪗#(J5,0)C56ö஻ýCRF஻úÇú•ö=0.'þÿPRQN☢SḄᨬᜧᨬ.12.a┦tana=J^-l,ᦪ/(x)=/tan2a+x-sin(2a+?),ᦪJ{a„}Ḅ✌⚗6=g«„+i=/(«„).পᦪ/(x)Ḅ⊤ফ஺ᵨ"%1'()+—1—+…+()'2(஻224N*)ব:1+41+01+%

413.(6⚪8ᑖ14ᑖ)ᦪᑡ;%<8=q=14M=2a“+l(஻eN*)(I)ᦪᑡq,Ḅ>⚗?(II)@ᦪᑡA<8=4B4C43…4&T=(%+1ᡝ,F4GHIᦪᑡ;(III)F1-----F•,,H--------<)(஻€N*)«2஺3஺“+1314.ᦪg(x)=-(-/+Wx?+cx(aH0),(I)M஺=1O@ᦪg(x)ᙠQR(-1,1)SGTᦪUᦪcḄVX(II)MO(1)YZ[Ḅxe[0,1],g/(x)

516ஹᦪy=/(x)GRḄᏔᦪᐸᙳᙠxḄᓃcYZ[Ḅ஻h஻e[0,+8)ಟ/(m஻)=[/»]",/ফ=4,MxNOOᐸᦪf(x)>0ឤᡂz஺(I)/(0)ஹ/(—1)ḄI-12kx+2(II)ᐵaxḄ|H/()N2,ᐸ¡&w(-1,1).2VX2+4_17ஹ)gᦪ/(x),᝞§YZ[)g¨©⌕ªḄ¨«¬cxᙠ/(x)Ḅᑁ°ᨵ/(a)J(b),/(c)´Gµg¨Ḅ¨«¬ᑣ·/(X)“¹¨ᦪপᑨ»¼(x)=4f(x)=x,¼(x)=X2¡½¾G“¹¨ᦪ”,½¾|2GÀ}Fᳮᵫ(II)᝞§g(x)GᙠRSḄᕜÃᦪ(0,+8),Fg(x)|G“¹¨ᦪ”(HI)@ᦪ/(x)=sinx,xe(0,A)G“¹¨ᦪ”AḄᨬᜧ.(ÉÊᑭᵨ?sinx+siny=2sin)cos!))18ஹᦪᑡ;4<Ḅln⚗S“8=S“=’)(a“-1)(atᦪaN0,a*l).(I)a-1;஻“<Ḅ>⚗?2S(II)Ða=—+1,@ᦪᑡ;22n--.3

619ஹᦪᑡ;&“<¡%=2,a=a+cn(cGtᦪ஻=L23,),q,«%ᡂ?n+ln2p|1ḄHpᦪᑡ஺(I)cḄ(II);4<Ḅ>⚗?஺(III)ᵫᦪᑡ;Ø<¡ḄÙ1ஹ3ஹ9ஹ27.....⚗᪀ᡂ)gÛḄᦪᑡ;b.<,ᔳᜐḄ஺20ஹᙊM:(x+V5)2+y2=36,âN(ã,0),âäᙊMSḄåââQᙠNPS,âGᙠMPS8=NP=2NQ,GQNP=Q.(I)âGḄéêCḄcd(H)ìâ(2,0)íîï/,ðñïCòaAஹBfâOGᙶ᪗öâÐA=3+5Gᔲsᙠ÷᪵Ḅîï/,uù«OASBḄYïúH(ᓽIOSI=IABI)?@sᙠAîï/Ḅcd@|sᙠý}Fᳮᵫ.21.þᑭᑮᙢᳫᜩᕒᦗᙢ☢ᢣᢵᙠ⚜ᑮ᣸!"ᦗ#(%A,B,C),BᙠAḄ-./ᔣ126km,CᙠBḄᓅ7.30°,124km,PᜩᕒḼ▮?@ABACᑮPḄDᦗEFᵫHBஹCJᙢKA2PLMN4sBஹCJ"ᦗ#PQCᦈᑮSAEFTUVEFḄWXYZlkm/s.(1)DAஹCJ"ᦗ#Ḅ2_`(2)DᙠAᜐcdPḄ/ᔣe`(3)fEFgP?Ḅ-h/Q?ᜐcᑣAஹBᦈᑮEFḄklmᜧopmqrstuḄvw.஻CAB

722.TUyᦪy=lxl+l,y=y/x2-2x+2+t,y=-(%+-~-)(x>0)Ḅᨬqា2xp/x'+af+bx+cuOḄ!"᪷ᐸ0+3(II)(2N)pyᦪ/(x)=3+ax?+8x+cḄJ"᩽?.2জfIA஽1=§,Dyᦪ/(x)Ḅ᪆¡`ঝDIM—NIḄ¥§.23.᝞©TUª«/¬ᱥ«/=4y1ᑗH?°(2,1),±¬x²³H?´,஺ᙶ᪗¸?¹?8Ḅᙶ᪗(2,0).(I)fº?M»¼AS-+V2IAW1=0,D?MḄÀÁC`(II)fÂ?BḄª«V(Ã᳛ÅÆHÇ)¬(I)ḄÀÁC³HÅQḄJ?EஹF(EᙠBஹFÊk)ËDÌOBE¬AOBF☢ÍÊKḄ¥§.X

824.g(x)=px—ÐA2/(x),ᐸ/(x)=Inᑍ±g(e)=qe-3A2.(eÕᯠ×ᦪḄØᦪ)xe(I)DP¬qḄᐵÚ`(H)fg(x)ᙠᐸ¹ÜᑁᓫßyᦪDpḄ¥§`(III)stজ/(l+x)4x(X>-1);^InZIn3Inn2n2-n-1ঝ#-+^-+…+—r<(஻£N,2).2232n24(n+1)25.TUᦪᑡå%æḄç஻⚗éS“»¼S„=—(«„-1)(aíᦪ±a-\(I)DåîæḄï⚗ð¡;(II)=2+1,fᦪᑡåñæÆKᦪᑡDaḄ`%(in)ᙠ»¼ᩩô(n)Ḅõö÷%=—!—+——,ᦪᑡå0æḄç´⚗éT„,1+1A஺஻+1DsT>2n--.326ஹ×Hyᦪ/(%),fùᙠ/£/?,ú/(%)=%ᡂüᑣý/7(x)Ḅź?.᝞ÿᦪ/(x)=q(b,ceN*)ᨵᨵ0ஹ2,/(2)<-.bx-c2(I)"#ᦪ/(x)Ḅᓫ&'()(H)+,ᔜ⚗/0Ḅᦪᑡ23,4564S“/(-!-)=1,#<=——

927ஹ+,ᦪ/'(x)ḄLMN/{xlxrQᐔI&TZ},WXLMNᑁḄZ[\ஹy,ᨵ/(x-y)='^_ᡂaIয=1(a/deᦪ)If00.পᑨl/(x)᜻Ꮤឋ)(II)

1,>0,N(1,0),#ᦪI_____16AB=AAN,H\AB|=y29ஹ+,ᙊWḄᙠIᯖᙠxxI᳛/Iᩩ(Ḅ¡/6.3ᙊWḄQᯖ/£I¤Q¥XḄ§MZ¨ᩩ©᳛/0Ḅ/¥ᙊW§XªḄAஹB,AᐵXxḄW/C.(I)#ᙊWḄ)(II)#<=CF^AFB(/LeR))(III)#&MBC☢¯SḄᨬᜧ{.

1030ஹ+,°ᱥC:y=a/,p(],—1)ᙠ°ᱥcxI¤P¨©᳛/ஹµ2ḄᩩIᑖ·§°ᱥCX¸XPḄA(xiIyDIB(x,y),*»᝞+½=஺22(I)#°ᱥCḄᯖᙶ᪗)(II)ÀM56Á=ÂI#MḄ.31.Bᦪf(x)=)ax3+ÄÅ+cx(a<஻

1133.#ᨴ%ᑖ&'(ᙊC+,^+=1=1(m>0)Ḅ45ᯖ.6m-2m-(1)7PeC,;<='2=0,IPFJIP51=8D(ᙊcḄ45ᯖFஹF.2(2)KஹH2'(1)IḄ(ᙊḄ45ᯖJKLḄMN'1,OP஺ḄRF2ᑗTQM,W|஺%|=&|஺▂(M'ᑗ)᝞]^.PQḄ_`ab.34.JKᦪᑡd4efg%=5,%=5a=a+6஺,(஻>2).ll+in(1)j+da“+i+2a“e'noᦪᑡp(2)ᦪᑡd஺,eḄq⚗stp(3)#3ᵯ=஻(3"—%),;x+y++□<|}~ឤᡂ|Ḅ

1235.JKᔠ஺=d%X2>0x>0x+x=keᐸIᦪ.2+21#஻=12஻Ḅp2j+721Dnt4•—᳝'—x,W4-22}᳝ឤᡂ;ᧅx2k21iL?3WntX,——x>——2},஽e஺ឤᡂḄsḄ.2X]x2k236ஹJK(ᙊC+a>b>0Ḅ᳛⌭O5ᯖF;£᳛1Ḅ¤a2b23T¥(ᙊC~A,8N¨A8ḄI஺1¤TON஺ᙶ᪗¬Ḅ£᳛Ko.p2}~(ᙊC¯M°j:²³ᙠµ஺OeRWnt+Kj=cos65X+si஻00Bᡂ஺37ஹJK»TC¯MᑮF0,1Ḅ½o¾ᑮ¤T/:y=-2Ḅ½Á1஺1»TCḄabpফOP2,2Ḅ¤TÃÄ»TC¥~4,3#Å=APB.জ72=1D¤T|Ḅab;ঝ7AAOBḄ☢É4⊈DOᙶ᪗¬/IḄ஺

1338ஹJKᦪᑡd%eḄË“⚗ÌS“}ᑗ᦮ᦪ஻P”(஻,S.)ÐᙠÑᦪ/(x)=/+2xḄ^Ò¯;OP„(஻,S„)ḄᑗTḄ£᳛k.n(1)ᦪᑡdᓽeḄq⚗st.(2)Ôa=2k-a,,,ᦪᑡd2,eḄË”⚗Ì(3)#஺=*=3,஻6%*e,/?="=2%,஻€'*e,nØᦪᑡd%eḄ⚗gwQcR,ᐸIq'஺cRIḄᨬÁᦪ11O

14416বï2=------,T=b4+b4+M+…+%S“=32—°oðTnÄS"ḄᜧÁ஺n4a-1nfi41.JKᦪᑡd%eḄ✌⚗q=2஻+1(a'ᦪ;a=2a_+H2-4H+2nn1(n>2),ᦪᑡdeḄ✌⚗A=a,b=a+n~(n>2)<,nn(1)jõ+ö,e÷ø2⚗ù'ú2soḄnoᦪᑡp(2)#5„ᦪᑡd஻,eḄËn⚗Ì;d5,,e'noᦪᑡüᦪaḄp(3)7a>0Dᦪᑡd%eḄᨬÁ⚗஺42.JKýᱥTC+y2=2px(p>o).ᑮᯖFḄᑮyḄᜧ1஺(1)ᱥCḄ(2)!ᯖFḄ#$ᱥ%MஹN)*Mᙠ,-▲*/|MF|=2|NF|,#MNḄ3(3)56ᦪ89⚪Ḅ;<=>?*@ᐸBCᩩEF*G5HIᩭ9⚪ᨵᐵḄM9⚪*ᡃOPQRCIᩭ9⚪Ḅ6“⌮ᔣ”9⚪.W᝞*Iᩭ9⚪Y“;Z[┵]☢_`C4,b[`C3,c;Z[┵Ḅde”.5de᝞?*QḄ6“⌮ᔣ”9⚪fgY“;Z[┵]☢_`C4,de3C᝞*b[`”;ifgY“;Z[┵ḄdeCj*ᡠᨵb☢☢eFlḄᨬno”.33pᨵ;o)%pஹQ)*wPᐵ%xḄyRCR,ᑣ#RQ|!ᯖFo

15}~5q⚪Ḅ“⌮ᔣ”9⚪*ᡠ~5Ḅ“⌮ᔣ”9⚪஺43.ᦪf(x)=±^*w;⚗ᦪᑡ=1,a=/(«„).n+l16—8x(Dᑏ54,Ḅo;(II)}H(Ḅᜧn*ᳮᵫ;5"j(HDwᦪᑡiᡈ=±%*¡S,=Z*¥¦n¨2©,S,V—(2n—1).43=1444.ᦪf(x)=x3-3ax(aGR).(I)¦a=l©,f(x)Ḅ᩽no;(II)#¯x+y+m=OyḄmGR³´Yµy=f(x)Ḅᑗ*aḄ·o¹3(HDwg(x)=|f(x)XG[-1,1],g(¾ḄᨬᜧoF(a)Ḅ᪆À.45.ᙠÁ☢#Âᙶ᪗ÅÆ*Ç6ᑡA3BJ,C„,ᐸÆ(஻,%),Í(஻i)C„(n-l,O),ᔣÎA“AᔣHᔣÎÍC“ᐳ*/(B,n)ᙠᔣᔣÎC(1,6)Ḅ=a,b[=-a.(1)}ᵨaHn⊤Òa(n>2)3n(2)ÓH&)⚗ÆÕÖᨵ⚗Y×Ḅᨬno*}ØḄ·o¹஺

1646.ᱏ(-2,0),ÚÀ2,0),PIPFJ-IÚF?1=2*¡PḄÜÝCÞ(1)ÜÝ?Ḅ3(2)#/!“/HÜÝ£$%á0).(i)ã>#/äᵨå᪵çè*ᙠxéêᙠë஻(᝞0),ìMP1MQឤᡂï*ðᦪñḄo.(ii)!á0B#x=LḄᚖᵨஹ0B,ᚖᑖõC4ஹB,¡ᐭJPAI+IQBI,2\AB\÷Ḅ·o¹.47.wfஹ¨2(ᑐÚX2)Yᦪ“X)>0)Ḅ)6᩽o.(1).=-1/2=2,ᦪf(x)Ḅ᪆À;(2)ICI+1%1=2⊈,ᓃḄᨬᜧo3(3)ü17(2),d=%/(%),b„Ḅ-n⚗./S”0*2V1,S஻+2<31—a1-a49.3Pᙠ5ᓃ78ᯖ3Ḅ:;<=>?q=1a>02>0@A4ABabIPF,1=2IPF1,08ᙶ᪗E3.2I:;<ḄFG᳛e—;27III3PJK<ᑖMN:;

18kᙠBkḄ|+᝞ckᙠuvᳮᵫ.(III)᝞Sᡠᨵx2-2Ḅx,ᨵ/(x)Wkx+9sg(x)ᡂkḄ|.51.>yᦪ/(%)=52+r+,"CGR):ᦪMᨵ/'(x)Nx,0xe(1,3)ᨵ/(x)<—(x+2)2ᡂ஺8(1)v/(2)=2o(2)f(—2)=0J(x)Ḅ⊤£¤஺ব,g(x)=/(x)-/xxG[0,+oo),g(x)§@Ḅ3¨SK

1953.ÃÄÅÆÇḄÈÇᙠᵬÊVËÅÌÍÎÏÐÆÇÑᵨÓᑖᑴÆÇÕᑣÕl×?Ø2ᑖÙ•Ø1ᑖÛ?Ø஺ᑖ+ÆÇᐳÝÐÞØÓᑖᨵßI5ᑖὅÆÇáâᔲᑣãäÝÐ.᪷æ5çèéêØᵬ×Ḅᭆ᳛8,Ê×Ḅᭆ᳛8,0êØÆÇÛ×ì23cíîï.ᵬðnØ×ஹÙஹÛḄᑖᑖMñ8%=2ஹ4=1ஹa=0஻eN4஻45,òS=-a+a-\-----\-any2n(1)$3=5Ḅᭆ᳛+(II)õ]ö÷ᱏ*=7⊤ÁØᦪ)JḄᑖúᑡ.ᦪûüý.54.᝞§K

20_22r55,,,KL4ஹ8NOᙊ'+J=lQ>6>0)ḄUᩩWBM(2,1)NA89BXMᯖa2b2BXOᙊḄZ[\[Ḅ]^1A8M4,-1).(1)`]^Ḅab᳛e,Cde⊤fOᙊḄghhḄiᦪ.(2)kOᙊḄab᳛N]^Ḅab᳛Ḅ᎔ᦪmB+OᙊḄno.(3)+qOᙊhhḄGHJ.56rLs/(%)=-14+1,ᦪᑡuvwḄx஻⚗{5“,ᨴ(~,—-)ᙠ^Vx%+iy=/(x)±(neN*),=l,a„>0.

21(1)+ᦪᑡuwḄ⚗/(2)ᦪᑡwḄx஻⚗{7“B#$=++16஻2-8஻—3,`ḄH,a“%ᦪᑡuwN7ᦪᑡ/(3)+sS„>-74n+l-l,ne/V*257ஹKLᦪᑡuajḄxn⚗{SnB#$ai=2,nan+i=Sn+n(n+l).(1)+ᦪᑡu%wḄ⚗஺“s(2)`T“ᦪIuwḄx஻⚗{B+58ஹKLᔣ=(',—L)(஺>0),diᦪ/஺)=!᝞2—aḄ¢£ᢥᔣm¦§¨ᑮa2a2iᦪg(x)Ḅ¢£஺(I)+iᦪg(x)Ḅ⊤«;

22(II)iᦪg(x)ᙠ®,2¯°Ḅᨬ²H³ভB+µভḄᨬᜧH஺TTKL4¸¹ºABC-A/|GḄᔜ¹hᙳ2,¿¹BBÀ☢ABCᡠᡂÃ;,59ஹ¿☢4±À☢ABC.(1)Äsᵨᙠ¦☢A6C1°ḄÆÇ0AABḄ9;(2)+☢ÃCḄᜧ²/(3)+Gᑮ¦☢AḄÈa.B60ஹ᝞¢BKL¹┵S-A8c஺9BASAONÌh4Ḅ͸ÃÎB¦☢SAO_L¦☢ABCO,ÌÎABC஺ÐÎBZDAB=60°,ÒAOḄ9B஺SBḄ9.(I)+sÒ0஻¦☢SCO/(II)+☢Ã8-PC-஺Ḅᜧ².61.`ÓᔠWN#$Öᑡ;×ᩩØḄÙÚᦪᑡua“wḄÓᔠsজ%ÜÝ2—ঝ%4M.ᐸ9஻wN*,MNnÙᐵḄâᦪ.(1)uawN7ᦪᑡBS”Nᐸxn⚗Ḅ{Ba=4,S=18,ÄsuS,JeW33(2)`ᦪᑡu4wḄ⚗b„=5nU2",u4wwW,+MḄGHJ/

23(3)`ᦪᑡu©,wḄᔜ⚗ᙳÍ᦮ᦪBu%weW.Äsc„0/(2)kkN2mBb4#$᝞ÖᩩØsk20m,%=%,ë=ì1Ýì1kீ0m,%+᝞,b.=b.klîïÖᑡð⚪s(I)Äᦪᑡu4-4wN7Fᦪᑡ/(II)òᦪᑡu஻(4-4)wḄx஻⚗{5,,,KLk”>1mBlirn^=0,+ᑣS”.(Ill)22)N#$2ு/>…>øḄᨬᜧ᦮ᦪmBᵨ᜜,&⊤f஻#$ḄᩩØ.63.KLiᦪ/(x)=lnx++ax,x£(0,+8)(aüâᦪ).x(1)k&=0mஹ+/(x)Ḅᨬ²H/(2)/(x)ᙠ2,+00)°NᓫþiᦪB+aḄGHJ/(3)`ᔜ⚗ÍḄÙÚᦪᑡ*")#$lnx“+U

2464.`iᦪ/(x)=x3+ax2+bx(x>0)Ḅy=4ᑗM(l,4).(I)/஺)=/+2+ᙠ(0,4]"Ḅᨬᜧ%ᨬ&%'(II)(ᔲ*ᙠ+,-./ᦪsj(s

2566ஹK:ᦪ/(x)=(l+x)2-21n(l+x).প/(x)Ḅᓫs'(2)?5xw--1,e-189(ᐸ\e=2.718…)-.x/(X)b>0)Ḅ᳛---9ICy=x+2ᙊa-b-3ஹᙊCiḄ¢£¤¥£¦ḄᙊOᑗ஺(1)ᙊC1Ḅ'(2)KᙊCiḄ¨ᯖF1,«ᯖF2,/|F|,®ᚖᙊḄ¥¤9°92ᚖ±9ᚖjP9³PF2Ḅᚖ´ᑖ¶92M,MḄ·¸C2Ḅ'(3)KC2x¤¶Q,-ºḄ+RஹSᙠC2"9®ij¼•¾=0,IQSIḄQ%S.

2669ஹUVFi,Fz(ᙊC:Á+==1(a>b>0)Ḅ¨ஹ«ᯖ9P(—JI1)ᙠᙊ"9ab"³PF?y¤Ḅ¶MijÅ+Æ=0஺(1)ᙊCḄ஺(2)ᙊC"ÇÈ°ᐵy=2xḄÉÊË(xbyj,3xÁ4y1ḄQ%S஺XC70ஹUVA,8,CᙳᙠᙊM/=1(஺>1)"9ABஹACᑖÏᙊḄ¨«ᯖa.....2/IஹF,5AC1•ὡ=0BÑ9ᨵ94Ò᜜=4Ó.2(1)ᙊ஻Ḅ'(II)KP(ᙊM"ḄÇÈ9EbᙊN:x2+(y-2)2=lḄÇÈᩩ¦9Å•ÖḄᨬᜧ%.

2771.᝞9&ἔ,Ú)Û8(஻,È6஻)+ᑖÏᙠÜ05ஹOT"Þ°,®ß•¾=—49஺ᙶ᪗9°Pij¾+Å.(I)”஻Ḅ%'(II)PḄ·¸CḄ9âFGã⊤åæ᪵Ḅç(IID?/E(2,0)¶(H)\CMஹN+9®ê=3Å9/Ḅ.72.UV:ᦪ/(x)='/+alnx,g(x)=(a+l)x(aW-1),”(x)=/(x)-g(x)஺(1)?:ᦪf(x)ஹg(x)ᙠ1,2"ìᓫs:ᦪ®ãíḄᓫsឋº9|ᦪaḄQ%S;(2)aஹB(:ᦪ9(X)Ḅ+,᩽%,a

2873.K/(x)(ö÷ᙠ"Ḅ᜻:ᦪ9®5—lVx<089/(x)=2x3+5ax2+4a2x+b.(I):ᦪ/(x)Ḅú᪆x'(H)51ü஺438,:ᦪ/(x)ᙠ(0,1"Ḅᨬᜧ%g(a)'(III)᝞ýÉij1ü஺43ḄÈᑗ|ᦪ஺9:ᦪ/(x)ᙠ(0,1"ឤᨵ/(x)40,|ᦪbḄQ%S.74.UVᙊCḄ\9/(1,0)(ãḄÈ,ᯖ9/þᙊC¶—*—*5A,8+9®5/ᚖx¤89OA-OB=—.6(I)ᙊ஺Ḅ'(H)(ᔲ*ᙠ/,ÿᙠᙊCḄᑮP,.᝞ᙠ/Ḅ"#$᝞%ᙠ&'(ᳮᵫ.

2975../ᦪᑡ2*4q=—,%=9——(n>2,n&N).4d-2(I)ᦪᑡ2%4Ḅ=⚗?@%$(II)Aa=—1,ᦪᑡD“4ḄF஻⚗HS„$anIJ’ᦪᑡᓃ4ḄF஻⚗HMNOPQRḄ஻3,J“41,76ஹ./Wᦪ/(X=(/9Y--)e(஻஺0)a(1)^y=/(x)ᙠA(OJ(O))ᜐḄᑗ"#(2)g஺<0iWᦪ/(x)Ḅᓫklm(3)gaு0io%p@/(x)+r20,Pxw-3,+81ឤᡂwaḄxy{஺aaJ

30X—n77ஹ./Wᦪ/(x)=——ᐸ}a~ᦪ.Inx(1)g4=2i^y=/(x)ᙠ(2,/(2))ᜐḄᑗ"#;(2)ᔲᙠ~ᦪaPQRxe(0,1)U(1,+<»),E(x)>«ឤᡂw?o%ᙠ&'(ᳮᵫoᙠaḄyN(.1778>//(x)=lnx,g(x)=5/+//x+5(/”<0)/Wᦪ/(x)ஹg(x)ḄᑗWᦪ/(x)ḄḄᑗḄᙶ᪗1஺(I)/Ḅ"#஻?Ḅy$(II)o()=/+1)-8«)(ᐸ}%)g(x)ḄWᦪ),Wᦪo%)Ḅᨬᜧy;(III)g0cbeai,£¤Oa+2q/"(a+஻)ᓃ+24(2”)ḄᜧM79ஹ./§ᱥCO>2=4%Ḅ©ª«¬஻M¯᳛Ḅ/§ᱥC«¬AஹB²(AᙠMஹB³m).(1)/§ᱥ஺ḄᯖokḄy$4(2)᝞§ᱥ஺¶ᙠ஺·©Ḅxy{.80ஹᙠ¸☢ᙶ᪗º}./»ᙊl(¼1)2+r=1(Fᙊ¾)»¿”=-2,,ÀᙊFᑁᑗH2ᑗḄÂᙊP,(1)·Âᙊᙊ¾PḄÃÄEḄ"#஺(2)A»ᙊ¾FḄÆÇÈÉY«ÃÄE»ÊF¬AஹBஹCஹD,জᔲᙠ᪹M"I=2|"C|ᡂwÎoᙠ&ÏᩩḄ"#Oo%

31ᙠ&'(ᳮᵫ஺ঝg᪹ÒFÓÂiឤ□1°ẆḄyᔲ»yÎo&Ï×»y$o%&'(ᳮᵫ஺81../Wᦪ/9)=/+᝞+஻Ḅ(1,3),/(—l+x)=/(—1—X)PQR~ᦪᡂwWᦪy=g(x)y=/(x)Ḅᐵ¬ÚPÛ஺/(-l+x)=/(-l-x),/(1)=3(I)/(x)g(x)ḄÜ᪆@$(II)oF(x)=g(x)—4/(%)ᙠÞ-1,1ßàWᦪ~ᦪáḄxy{;82.AᦪâãJ{a},{b}/=4=6,%=%=4,%=2=3,ᦪᑡnn1%+å©}(஻€N+)pèᦪᑡ,ᦪᑡᱥ,2}(஻GN+)p£ᦪâIé஺

32পᦪᑡHa,,+HD4Ḅ=⚗?@;(H)ᔲᙠ᝕eN+,4—4e4,oᙠ᝕o%ᙠ'(ᳮᵫ஺2S283.ᦪᑡ2*4Ḅ✌⚗=1,Fn⚗H¼î³m%=ߟߟ(஻22).2s,1(1)NOᦪᑡ2-14Ḅ=⚗?@;(2)Aᙠᦪk,(I+SJQ+S2)…(1+S,)N&õRTPᑗᡂw,kḄᨬᜧy.84../F|ஹF2ᑖúᙊ+4=1(஺ு0/>0)Ḅûஹᯖᐸûxª«a~b-¬N,F,F=2NFJFF21=2.AAஹBüᙊNA=ANBḄ²2ᐸ}4(1)ýᙊḄ"#ABḄ¯᳛Ḅxy{$(2)AAஹB²ᑖúÀýᙊḄᑗ²ᑗ«¬P,NOPᙠᩩ»PḄþᙶ᪗Ḅxy{.

333285../WᦪE(x)=ln(x+—)+—,g(x)=Inx.2x(1)Wᦪ@ᑘᓫ(2)᝞ᐵxḄg(x)=x+஻?ᨵᦪ᪷ᦪḄᔠ(3)ᔲ$ᙠ&ᦪk,)*ᐵxḄ/(x)=Ag(x)ᨵ-./01Ḅᦪ᪷2᝞$ᙠk34Ḅᩩ6᝞/$ᙠ78ᳮᵫ.86ஹ?@AᱥCD=2px(pு0)ḄᯖIJKLC/MIA(4,0)OPAᱥCQK஺-I.STUVPQJLYḄᙊឤM\I.(I)ᯖIᙶ᪗(II)`a+a=abcIRḄef.

342287ஹ?@hᙊi+'=1(஺>/?>())mḄIᑮoᯖIFḄᨬrst0-1,abFᑮm⚔IḄstJwIC(᪷,0)CyOFmḄ{.cI.(I)hᙊḄ(II)ᔲ$ᙠMIFOPx|/ᚖLḄLC/PhᙊQAஹB-I)*(\+•),S78ᳮᵫ.88ஹhᙊḄᙠᙶ᪗\I{.⚔IJA(0,2),oᯖIKPI8(0)ḄstJ2஺(1)hᙊḄ(2)ᔲ$ᙠ᳛/0ḄLC/y=kx-2,)LC/Phᙊ0Q/Ḅ-IM,N341AMl=IANI,`$ᙠLC/Ḅa`/$ᙠ78ᳮᵫ஺89ஹ?@ᦪᑡ%Ḅn⚗JS,O{ᑗ&᦮ᦪnᨵS=n2+^a„.nn(1)8a+=4n+2(2)ᦪᑡa“Ḅ⚗n+lr1Y(3)T/(஻)1----I4£/(஻+1)

35s(II)Ta=—,+••+&஻_]Ḅ.n91.?@/(x)³´ᙠRmḄµᦪ¶·Ḅᦪa,bᨵম+/(஻)O/(2)=1(1)/(g)Ḅ(2)/(2{")Ḅº᪆(஻€7*)92.Tµᦪ+ᓃ(1)/(X)J᜻µᦪḄᐙ⌕ᩩ6“2+/=஺(2)TÃᦪb<2Ä-3,O¶·xe[O,l],/(x)<0ឤᡂ¨ᦪaḄÈ93.?@µᦪ/'(x)=%2+(°{3)x+”{3a(aJÃᦪ).(1)᝞¶·xe[l,2]J(x)>/ឤᡂ¨ᦪaḄÈ(2)Tᦪp,q,r34p,ḄÌ{.ᦪាÎ1a,OÏ-.ាJ/(x)=0

36Ḅ-᪷ᑨÑজp+q+r,ঝp2+d+஻ঞp3+/+/ᔲJ³2`³Ö×`/³ÖØ/³Ḅ⊤ÚJµᦪg(஺)Sg(஺)Ḅᨬr(3)(2)Ḅg(a),TH(a)=-4g(a)—27ᦪᑡÜ”34J+1=஻(%)6(fteN'),Oqw(0,1)bᑨÑJ+ÞP஺஻ḄᜧrS8.94.᝞àUAiA2JᯖIḄáâCEPäYJcḄᙊO0QC,D,C),D),çèCGPOBQIH,Oᨵa=(3+26)a஺ᐸA|,A,Bᙊ0Pᙶ᪗|ḄQI2cJáâCḄäᯖs஺(1)íc=lîáâCEḄ(2)b¶·&ᦪc,áâCEḄt᳛JÃᦪ஺(3)çèACPáâCEQF,ᔲ$ᙠᦪï)a=%&ឤᡂ¨`$ᙠb×ðḄ`/$ᙠÖ78ᳮᵫ.95.Tµᦪ=+bx2+cx(a°)-/w(x<)(1)/(-I)=0!"ᦪᙳᨵ(x)NOᡂ()(x)⊤+,-(2)ᙠ(1)ᙠᩩ012xe-2,256g(x)=/*)-89ᓫ;<ᦪ)ᦪkḄ?@B-(3)Dmn<0,m+n>0,a>0/(x)Ꮤ<ᦪIJ/(஻?)+/(஻)>0.

3797.ᙠP☢RSᙶ᪗VᑁᨵXYZ[ὡஹ^_`[P,bஹF?ᙶ᪗ᑖeᡃA-1,0hஹIPF,I_V2Fil,0h,`[Pkl`[PḄmnopC,opCᐵsRpy=xḄ2τPFrT2uopopC',Rpy=x+w—3yopC'zsAஹBX[O9ᙶ᪗|[}ABOḄ☢~i1h)opCḄ-i2h)mḄ@஺98.ᦪᑡ%,%=1,a=2a„-n2+3nLneN"Mll+lপ9ᔲᙠᦪXஹ஻ᦪᑡ",+2+ᓽ9ᦪᑡᙠ)ᐭஹ஻Ḅ@ᙠJᳮᵫ஺ফD“=--------S=b+b+b+---+b>IJ2"226——------

38I஺஺ஹ'(ᦪᑡ%1+,-2%-%ᙠ/0-2ᐸe,2,"প56=a-a-l,78ᦪᑡ9:;<ᦪᑡn+ln(2)7ᦪᑡ=Ḅ?⚗;বC5„ஹ7-ᑖEFᦪᑡGஹᱥ,ḄJ஻⚗L,:ᔲNᙠOᦪ2PQᦪᑡᡝᡝF;Rᦪᑡ!SNᙠT79USVNᙠ,ᑣXYᳮᵫ஺ᑄ2011\ὃᦪ⚪]^_`1-6ZX,1

39¹ºg(x)min=g(2)=l—2a,6ᑖg(3)-gপ=(2-3஻)-(1-஻)=1-2஻,ᦑ26g(^),=g(3)=2-3tz,ᨵ//(஺)=1¼஺-mix26g(x)mx=g0)=1-Qᨵ஻(Q)=Q-------------8ᑖ\-2a.a<0\-a,Q1(II)Ày=/z(x)ḄÁÂ᝞ÄÁ஺--------12ᑖᦪÅÆᔠ,ÇÈ(£)ᵫᵫ14ᑖ2.É:(I)ᐜᵨᦪÍÎÏÐIJ0<%<1,஻wN*.(1)2n=l6,ᵫÑÒÆÓᡂ(-(2)ᎷD2n=k6ÆÓᡂ(ᓽ0<%<1.ᑣ2n=k+l61Y¹00,ᡠf(x)ᙠ(0,1)¾9×<ᦪ.x+lX+1Øf(x)ᙠ40,15¾ÙÚᡠf(O)0'Òg(x)ᙠ(°1)¾×<ᦪ•Øg(x)ᙠ40,15¾ÙÚᡠg(x)>g(O)=O.22¹0<<1,ᡠg)>0,ᓽ-/(a“)>0,ßa-------------10ᑖn+i

40(III)¹ᙢ’ᡠ">஺,/éᡠOb”=----…¼^,b[2—n!জ,12ᑖb஻-l^n-2b12ìí“îïðᡠñᐸa,i2¹ó=ôõ2,0<«„4•஻þ.--------16ᑖ%!=03.(1)ᙠ/(/+஽)+/(X2)=2/(X1)cos2x2+4asin2஽ᑖiJx=x271y(x)+/(-x)=2cos2x+4asin2x,জᐔX,=--FX'4TT)/7)+/(x)=2a,71ᐔX->=--FXI-4/%+4)+/(&)=26^2x)+4(2sin271xঞ~4ᵫজ+ঝঞ,JI1-cos2(—+x)71-COSn/X4a-------------2=2a+2(cos2x+sin2x)-2a(cos2x+sin2x)/./(x)u+^2(1~(i)sin(2xH—)4jrjr(II)1xe[஺5sin(2x+-)e,U.44/y(1)V|jf(x)|^2,1஻<15i=ci2(1—a)]

414.(1)2h=2Ji=i.e=—=—=>a=2.e=aa2SᙊḄUVW£+=1(2ᑖ)4(2)YABḄUVWy—kx+Uy=kx+43Z_1ᵫ<ஹ,2=(&°+4)x2+2y/3kx-l=Ox,+x=`a----,x,x=—b----2122212222_k+4k+4+X=14-(4ᑖ)ᵫcd0=-x,X+a(e]+6)(f2+A/3)=(1+~)x\x2+g"(X|+%2)+[2᝕~+4/1~^3k—2,>/3k3hjizta,----()+-----V—+—,m)᝕=±2n7ᑖo4k2+44k2+44n31AW⚔q5BrW⚔q.S"o8=ln8ᑖo1A,3sW⚔q5YABḄUVWtf+b*y=kx+b1fs2=nY+4ox?+2xᓃx+/?2—4=0)zk]+%2=—---v12/+4I4b2-4xxt2k2+4Xi/=|=0஺}/+~2=0ᐭ᦮ᳮ)b2/+/=4n11ᑖoS=——IZ?IIXj-X1=—I/7I+12)2-4%!%1=-------;---------2222k+42\b\ᡠḄ☢WM.n12ᑖo125(1)6Z=-(1O/,-1)1O/,+--(1OW-1)2ᑖo/J

42iinw__ii_i=3(10஻-1).(10஻+2)=+1).........................(4ᑖ)10஻1bA=-----,ᑣA=33……3W᦮ᦪW3'---஻ஹ---'a=A(A+l),)...........................................(6ᑖ)(2)n1|o•/a=-W2"+-1OH........................................(8ᑖ)"999119S=1(102+104+……+102,,)+1(10+102+……n=—(102n+2+ll-10n+l-198/7-210)...............................(12ᑖ)6ஹm:(I)᧕d4==2,1=1,a.ὡ=(1,0),(1,0)22X+y41X22X2+3---55*/xe[-V5,V5],.•.1x=0,ᓽqPWSᙊ¢£¤q5¥•ᡠᨵᨬ¨M3b1x=±ªᓽqPWSᙊ«£¤q5¥•ᡠᨵᨬᜧM4nIIoᎷY®ᙠGHᩩJḄ°±/᧕dqAn5,0oᙠSᙊḄ᜜³1°±/Ḅ´᳛s®ᙠ5°±/¶Sᙊ·¸qᡠᙠ°±/´᳛®ᙠYWk°±/ḄUVWy=knx—5o22¹+ᓃ=1ᵫUVº»54+4ox2-50Jt2x+125A:2-20=0[y=&05oC⚪½¾=20n16—80¿oு0,)—1<%

43,,uஹ“25k2Z-20k••y()=k(x()-5)=K(~5)=z-°°5k2+45k2+4ÇIF2cITF2DI=&RA.I=k&R=~i0(20஻C.k-k=k-------]^=20ÈiFRF_,25k24-20k2.,.20k2=20k2-4,É20k2=201?—4sᡂËᡠs®ᙠ°±/,Ì)IF2c1=ᦈÎ1ÏᡠÐs®ᙠ°±/,Ì)IF2c1=ᔣD7ஹmn1oC⚪½Ò±MÓqPWᯖq°±/WÕ±ḄÖᱥ±ᡠÒ±MḄUVWy2=4:n2oপᵫ⚪½)°±ABḄUVWbv=-Ú3-1oᵫ/Û£n*1oÜÝy)b11'1&3x2-10x+3=0,m)X|=-,x=3.ᡠAn,o,Bn3,-26o,1ABl=x.+x+2=—.293333ᎷY®ᙠqCn-1,yo,ÞABCWßᑣIBCI=IABIàIACMABI,ᓽna+1o+ny+2?o-ná'âã)b42+&+2Úo2=©2+nå¥o2,m)å=çbi**é339nsêëoìí°±/s®ᙠqC,Ì)aABCÓß.niiomîbYCnT,yoÌAABCᡂðᵫñ)å=26í5A,B,Cqᐳ±ᦑyx27rIX—1ôIAC|2=(-1—)2+(y—õ)2='-ö+y2,|AB|2=(1)2=é1IBC|2>IAC|2+IABI2,EP28+4V3y+y2>é÷y+y?+☟ᓽy>»V55,NCABWð.1IACF>|BCI2+IABF,ᓽ"ùy+y2>28+46y+y2+úy<--735/CBAWð.3XIABI2>IACI2+IBCI2,B[J—>—-^^+y2+28+4V3y+y2993ᓽby?+g⌨y+g<0,(y+ᬯt<()

44ýséþ·mᡠ/ACBsÿ.AABCCḄᙶ᪗yḄy<>(y+2."#$%AB&'ḄᙊḄ)*(X_|)2+(y+gji)2=(|)2ᙊ3ᑮ&5LX=-1Ḅ9:gᡠ%%AB&'Ḅᙊ<&5L=ᑗ?G(-l,CD).&5/FḄC*2l.8ஹ"(1)^a=b=O,ᑣf(O)=[f(O)F]f(O)WOZ.f(O)=l(2)஽a=x,b=-xᑣf(O)=f(x)f(-x)].f(-x)=—f(x)ᵫz{x>0,f(x)>l>0,xvO,-x>0,f(-x)>0f(x)=—1—>0~*=0f(0)=l>0f(-x)/.x£R,f(x)>0(3)X2>X],ᑣf(X2)>0,f(X1)>0,x-x)>02^4=f(X)-f(-XI)=f(X-X1)>122f(X1)...f(x)>f(X1)...f(x)ᙠRFᦪ2(4)f(x)•f(2x-x2)=f[x+(2x-x2)]=f(-x2+3x)~l=f(0),f(x)ᙠRF⌴ᵫf(3x-x2)>f(0)_x-x2>00

459ஹ"(1)ᵫ⚪{/(l)=l+2b+c=0,.c=-l—2g(x)=f(x)+x+/?=x2+(2b+l)x++c=%?+(2b+l)x-Z?-lᑣg(—3)=5-75ு0g(—2)=1-5b<0=^>j0I15ᓽᓃw(H)(2)^u=/(x)஺,log/ᙠ(0,+8)ᦪC1—c=2bுC"1(x)=/+2bx+cḄx=-b/(x)ᙠ(Cl—c,l—c)FᦪF(x)=logJ(x)ᙠ(-1-஺,1-஺)Fᦪ஺K/(x)ᙠ(-l-c,l-c)Fឤᨵf(x)>0U◤/(-l-c)>0,1517Kc=-2b—1(—

4611_1]=]=(᝕+1)(᝕+2)=°C4k2+3k+\~(fe+l)(fe+2)-l__J__]]1C(♦+1)(1+2)-(1+1)(%+2)_஻²?=/´µ+¶-·µ=஻ᓰA-”]111?ºE7Tµ=?µC¼½CC¼¾ᦑ"¥µ+/¿#-+¶]^µ+/¿Fµ=஺.11."(1)ªC(x,y),•.•Á+Gᨴ=2Ã5,ᵫজ{☢=C2K.GÇ.XVABCḄG3..G(-,-).................................(2ᑖ)33Xᵫঝ{MAABCḄ᜜3].MᙠxF஺ᵫঞ{M(C,0),3fSIMCI=\MA\_J(*2+i=J(x—1y+y2X29ᓄÑ᦮ᳮ_—+/=1(xWO)....................(6ᑖ)3.—Ô2(2)F(V2,0)ាC+y2=1ḄÖᯖ3ªPQḄÚ᳛kWOKkWᑣ&5PQḄ)*y=k(x—J5)ᵫ(y="(x—l=(3¥+i)f—6ᐸ¥¾+6᝕2—3=of+3ß_3=0ஹà,,,66k°6k2-3,¶ஹªP(x>yi),Q(x,y)ᑣx1+X2=—~,X!-x=—~-(8ᑖ)2223ã+13H+1ᑣIPQI=Jl+N-J(X1+å)2—4X].CEa.b22æ+1)r3jt2+r3k2+i3k2+i-7-

47RNLPQ,çkᣚᡂC¾_IRNI=2W.¿10ᑖµk3+k~16(é2+i)2c8S=-IPQI•IRN1=------——=2--------\-----)2(3¥+1)ê2+3)3(é2+ᡃ)+io8.-.3(Jl2+—)+102-SQ3•Ck'+-422-----216,..,$0%+]>஺஻1+஻]1+aa\a2a2஺3anan+l2a\an+\an+\11333;a2=(5û+5=1%=(/2+a>1~஻22a>an+}na24a>1,1<2-----<2,*,•1<------1-------F•,•H------<2'J1+/1+g1+%13¿üý⚪þᑖ14ᑖµ

48"(1),/a=2a+1,a+1=2(a„+1)2ᑖn+lnn+iᦑᦪᑡ%+1✌⚗2,2Ḅᦪᑡ஺3ᑖ/.a+1=2",a=2,,—14ᑖnn(2).4"4"2-4%-1=(%+]ᓲ..+62+—2஻)=2d5ᑖ2sl+%+…+஺“)-2஻=nbজn2(஺+%+•••+6“+b“+i)-2(n+1)=(«+r)bঝn+iঝ-জ.2/2-2=(஻+1)“0-nb,ᓽ஻22=-12“+]ঞ8ᑖn••(”+1)2+1-2="஻-2টটঞ.2U+i=nb+Ugi,ᓽ2%=஺+69ᑖnᡠ9ᦪᑡ2:ᦪᑡ1111(3)V——--<----=----11ᑖ%-12,,+1-22a„.11…11111ஹ11“1ஹzUS<—+—(+—+…+—)=—+-(S------)an+\a22%஺3an஺2?“஻+113ᑖ12S<——14ᑖaa3a32M+1lt+i14.DE⚪Gᑖ16ᑖ(1)Ha=1JKKg(x)-——+—x-+ex,gK(x)-—x~+x+c.......1ᑖ•••g(x)ᙠ(-1,1)PᓫR⌴TUᦪK.•.g'(x)20ᙠ(-1,1)PឤᡂZ2ᑖ..X\+x+c20ᙠD1,1]PឤᡂZ..............3ᑖc>2......................................4ᑖT)+"+.(2)

49•a>~2'••஺<5a௃•ᓽcdHe=/J,uwjz/f)++.ᐙᑖឋijcCy.•'•10,1ேJ/(/)«<•+CI.l/(.rXI(x€[O,l]>.m⌕ឋijP6[0.11J./(o)41.p/6(0.J].(2)lqUᦪ/(.r)Ḅrst”ᔣwl..2a,jxy.26(01151-11l.“τbet-i.r.I/஺K.flal&lK.Jτ=/(1)=0Ḅ~᪷a3ᙠ[௃•1]ᑁe•/(l)40.u>1/(1)^0./(-|)<01/(-1)<0“W/la•••I&I4I4௃Ḅᐕ⌕ᩩ4415ஹজ஺[=1jঞ஺=—316ஹi(1)ᵫf(mn)=[f(m).if(O)=f(OxO)=[f(O)]°VUᦪf(x)ḄrsᙳᙠxḄP,f(0)>0,f(0)=1……3ᑖ•.•f(2)=f(lx2)=[f(l)=4,f(x)>0...f(l)=2,f(—l)=f(l)=2……3ᑖফ2ஹ"kx+2Y"kx+2'.+2|ஹ22஺/ஹ2220fஹ+পஹ2&+412&+47HxNOJKᐸUᦪ1(x)>0ឤᡂZKy=஻x)ᙠ¡¢0,+8)PᓫR⌴T

50UᦪজHP=0JKX€{0};(4kஹ4P¨4RঝH1<᝕<0JKx\x-----<0<=>----c,»ÂᎷpÉுÇ>0,ᡠ9º(x),º(x)“¶·¸¹Uᦪ”.3ᑖÆË(x),3,3,5ÌÍ·¸¹Ḅ·¿ÀKÎ3?+3?<52,ᡠ9»Ïᙠ·¸¹932,32,52·¿ÀKᦑË(x)»“¶·¸¹Uᦪ”.4ᑖ(II)0g(x)ḄÍᕜÑKᵫÆᐸÒÓ(0,+8),ᡠ9KÏᙠ஻>஻?>0,Ô.gয=l,gÖ=2,×᦮ᦪÙÚ7+mKAT+m,஻Û·ÍᦪÌÍ·¸¹Ḅ·¿ÀKTÎg(2T+/")=l,g("+m)=l,g(஻)=2»Ü̼Ý-Í·¸¹Ḅ·¿À.ᦑg(x)»“¶·¸¹Uᦪ”.8ᑖ(III)AḄᨬᜧÒ·.9ᑖ657r•☢KâAுKãäå(x)»“¶·¸¹Uᦪ”.

51TTS7TSTTa-,—e(O,A)KæᯠÛ·ÍᦪÌÍ·¸¹Ḅ·¿ÀKÎ266jr0ᑍ157T1sin2=l,sin3=è,sin±±=è»Ü̼ÝÍ·¸¹Ḅ·¿ÀKᦑå(x)»26262“¶·¸¹Uᦪé37rê☢K9ãäëA=——JKb(x)“¶·¸¹Uᦪ65î¼ì·¸¹Ḅ·¿஺º,c,âa,b,CW(0,ᓃ)Kᑣᑖïðñ᝞ã:6(1)Q+b+c...2%Ka...2^—b—c>ITV————=—,ôᳮKb^c>—f6633a,b,cG⎃HKᦑsina,sinb,since(—,1]362sina+sin/?>—+—=1...sinc.22ôᳮäᐸ÷øù.sina,sinb,sineÌúÍ·¸¹Ḅ·¿À.(2)a+b+c<2?rûJKü2+µ<)K.᝞ãøýþÿ22a+b1ᐔ2_-,bica+b7T----W—ᵫa+Z?>c,ᡠ0<<-----W-.22222nrCl-\-hᵫsinxᙠ(0,2]Ḅᓫឋ0cos—>cos——>0,2212...,c-a+ba-h.cc...sma+sinb-2sin-----cos------>2sin—cos—=sine.2222ᦑA=2,ᳮ-ᐸ%/0ᡠsina,sin"sine1234567Ḅ589.6b(x)2“=567'ᦪ”.

52?AḄᨬᜧBC#.18ஹE(I)*.*S|=-----(6?1—1),4=a,a-IF஻22a=S-S_=-^—annnina-1a-12=a,ᓽI஻஻J2KLᦪᑡ.4=஺O"=஺஻................4ᑖan-i(H)ᵫ(I)S<=#]---------+1=13"?)±2”,Z4CKLᦪᑡaa(«—1)ᑣᨵ42=i,]4=3h=ᑮ_1=3஺-+a+2,aai/3஺+2”k3஺~+2a+2494H1rᦑ(-----)=3---------------,E஻#.......................7ᑖaa23dea=1fᐭ"=3"ᡂi31ᡠ஺8ᑖ-33஻3ᔣIII-kᵫIISl,=m1"ᡠn=ߟ+ߟ\—------------1------—3i+|ri-1r+l3"+13"+|-13"+1-13n+l-l+l=1———+1+—4—-----------------1----------;---------3"+13,,+|-13"+13n+1-111=2-(-W)'9ᑖ3"+13,1+1ᵫ^஺_L_>_L1r1_______1!_J____1_3”+13”3n+l-13"+|3"+13"+|uvw13ᡠq,=2-(—)>2—(--------p),12ᑖ3"+13M+l-13"3n+1x]Z,=CI+c2+…+q,>[2_(_1)]+[2_(_)]+…[2_(y)]#2஻z1)+{|+•+((—5)]c/I1ஹC1=2/2-(--------)>2஻—.33N+I3ᓽ7>2஻-1.14ᑖ19ஹEIq=2,%=2+c,%=2+3C,~C4,a,ᡂKLᦪᑡ2

53ᡠ(2+c)2=2(2+3c),Ec=0ᡈc=2.Fc=0a=a=a,ᔠ⚪ᦑc=2...........4ᑖmᦻ6ᑖ{23(II)F"22ᵫ஻a-a=2c,32a-a_=(n-l)cᡠn-a=[1+2+•••+(/?-l)]c=——c஺nnxx!q=2,c=2,ᦑ=2+/2(1)="஻+2(஻=2,39).Fn=l01ᡂi,ᡠ=n2-n+2(n=L2᜛•)....8ᑖ(III)b=32n-2-3n-,+2,/.lim=9..........12ᑖnbHNP=2NQ20ஹE1___.b=>QCPNḄGQ_LPNGQPN=0=>GQCPNḄᚖ=IPGI=IGNI.,.IGNI+IGMI=IMPI=6,ᦑGḄ2MஹNCᯖḄᙊᐸ99஺=3,22ᯖ஺=...9b=2,.•.GḄ2#+#=1...........5ᑖ942~C=+]ᡠ87OASBC¡¢87Z£ᙠ/¥IOS1=1ABI,ᑣ87OASBC¦7OAOB^Ox=2x=2Z,Ḅ§᳛£ᙠ©/ḄCx=2,ᵫx2y21,2,94y=--OAOB=—>0,ª04-08=0«¬ᦑ/Ḅ§᳛£ᙠ.7ᑖ9/ḄCy=Mx-2),A(x„y,),B(x,%)2y=k(x-2)ᵫJ/2=>(9)l2+4)x2-36k2x+36(/r2-1)=0--+—=1I9436k236(®—1)x.+x-------,x,=------2--------জ229k2+4I29k+4

54%%=°(32)]°(±2—2)]=k"[XjX—2(Xj+x)+4]=~~^2—ঝ..................9ᑖ22,3²জஹঝfᐭI]/+µ¶=0·=•£ᙠ©/:3x-2y-6=0ᡈ3x+2)—6=0¥87OASBḄ¸6¹K.21ஹEm1ABCᙶ᪗¼ABᡠᙠ©Cx½i¡☢©6ᙶ᪗¿ᑣAm-3,0,BL3,0,Cm5,2"ᑣ|AC|='m5+32+m2ᡣ2419km=ᓽAஹC/4ᦗÂÃḄÄC2Mkmm2'C\PC\=\PB\,ᡠPᙠBCÅḄᚖ©¡ᑖ!•.,IPBI-IPAI=4,ᡠPᙠAஹBCᯖḄÆÇḄÈÉ|A8|=622...ÆÇC'm=1mX<0BCḄᚖ©¡ᑖḄCx+JJy-7=0ὶi/Ex=-8ÌÍ8,,kpA=^/PAB=Y.,.ZPAB=120°ᡠPᙠAḄᓅÏÐ30°ᜐ(3)᝞Ó,|P0=%,|ÌB|=x,|PA|=y'C\QB\-\QA\=^lx2+h222x+y4+"3+Õ—).+/+J/+h1x+y!-7==<17?+h2+-Jy2+h2..ÖÍ|×ØØ•ÙÚீÜÝᓽAஹBᦈᑮß{Ḅàáâã22ஹEmI54'ᦪḄᨬãBäC1,Vi+7,y/i^t,3ᑖ

55ᵫ/(1)=0,c=—஺81/./(x)=x3+ax2++c=x3+ax2+fex-(a+b+1)=(±-1)[X2+(஻+1)X+(஻+8+1)],ᦑî2+3+1)+3+/?+1)=0Ḅ/᪷2ð7,Vi+7.ᦑJ1T+Jl+t=-(6f+l),y/l-t-yfl+t-a+b+l............4ᑖ(VT^+Vi+7)2=(a+l)2.ᓽ2+2(a+b+l)=(a+l)2a2=2b+3.5ᑖ(IDজä⚪üw2/(þ=3/+2"+ᓃ=0Ḅ᪷2ahᦑᨵx+x=,xx--,i2}2=(2஻)2-12஻>0,mb<3.ᵫI%—%1=J(x+x)2-4X]X=2n"33^-2ஹ...........7ᑖl222"b=2!b=2,a2=2Z?+3=7.33ᵫ(I)%Jl-1+Jl+r=-(4+1)>0,ᦑa<-l,Cl-—y/y,C=-(஻+/?+1)=y/l-3/.f(x)=x3-p᮱+2x+S-3...................9ᑖঝ\M-N1=1/(Xj)—/(x)I=1(x/-0)+0(11,+2᳝஽)|2=1x-x1•I(X1+x)2-XjX+஻(7+x)+/7I]22222r3-b1/2a2b/2஺=-------1(-----)——+a•(---)+h\33334349-a2-(ᡈ:(::;)...................11ᑖ272ᵫ(I)(a+1)2=(VT^7+Vl+7)2=2+2jl^?

56,.<0()!042cL.RE(Aj,|)F(X>>2)228~2᳝+£~2k1+1ᑣ<ঝ7ᑖ8/—2X/2=2k2+1qIRFI—►——►Y—2=*^,ᑣ=^——ᵫ!=,5.0<2<1.SAOBFI5;Ix—22ᵫঝ%(x,-2)+(x—2)="4,2

572(%1—2)(x—2)=xx-2(X]+x)+4=2t2221+122A:2+1421-----r=------ᓽ~=------10ᑖ(1+2)28(1+A)2r24211v—---------<—2(1+A)222E!3-2/<1<3+271Xv0<2<1,•3-2J^0,.\h(x)<0,/.g'(x)=——y<0,xg(x)ᙠ(0,+°°)ᓫ¢⌴¯p=0〉ᔠ⚪q...................5ᑖঝ²p>0«/7(x)=px2-2x+po³K´µᔣh·ᱥH¹gKº:~£(0,+8)..,஻(¼)":஻’•.¥◤",20,ᓽ“21«/2(ᐗ)20,g'(x)PPP20,g(%)ᙠ(0,+8)ᓫ¢⌴À.pNi〉ᔠ⚪q.................7ᑖঞ²pvO«/?a)=pf—2v+po³K´µᔣÂḄ·ᱥHᐸĹgKÅ,Æ(0,+W,P¥◤஻(0)<0,ᓽp<0«஻(0)<(0,+8)ឤᡂª.Ag,(x)<0,g(x)ᙠ(0,+8)ᓫ¢⌴¯.pvO〉ᔠ⚪q.Çhজঝঞ!p2lᡈpWO........................................................9ᑖ(III)ÈÉ:জᓽÈ/Inx—x+IWO(x>0),

5811—XR4(x)=lnx-x+=-----1=——-.xx²(0,1)«k1(x)>0,,~஺)Kᓫ¢⌴À£ᦪ²1£(1,8)«,/(Ê<0,1Ë)Kᓫ¢⌴¯£ᦪ;C.x=\Kk(/)Ḅ᩽ᜧOAk(x)^k(l)=0.ᓽInx-x+IWO,Inx^x_1.................................................11ᑖঝᵫজ%InxWx—1,?x>0,Inxx—1-1?.——<------=1——XXX'CnGN*,x>2«x=஻'!

59n2"1;n2.⁠gn2HIn2In3Inn1,1,1z7-H----z-+-!.....-<—(1-----+1----+•22322222232=Ð("1)](*+*+…+*)]<3("1)(Ò+6+…+Ó)]4(஻+1)•ÔÕᡂª...........................................................14ᑖ(1—125.E/(I)•/5,=——(Ö1),4=0,a²஻N2«a=S-S_=——ran---y?nnn+a-\a-\2-=஺ᓽ×%ØÙᦪᑡ.Û=஺.41=Ü............4ᑖan-\(II)ᵫ(I)%-------+1=(3"-1--2",Ý×஻ØKÙᦪᑡ,aa(a-I)7..r[c73஺+23஺“+2஺+2mᑣᨵb~=஺ß3,2=3,2=----à=-----------,2acrᦑ(2á2)2=3.3஻ᢤ'h2,E!a=,ãuawᐭ!a=3"ᡂªaa~33

60ᡠaQ=—.313"3n+,(III)ÈÉ/ᵫ(H)%=(1)"ᡠac“=ߟ^ߟ+—-----1—31+(1)"1-3"+13,,+'-13஻+173e-1+111c/21--------1;--------bld:---=2—(-)3"+1----3w+,-13"+1-----3/,+1-13"+13n+,-1111!^--ᵫ----<———3"+13”3/,+1-13e3"+13,,+I-13"3,,+1]311ᡠac“ì7=G+஺2+…+C“>[2—(/:)]+[2—(*()]+…[2-(/—ð)]crzl1ஹ/11ஹZ11c,11ஹc1=2«-[(---)+(--y)+--+(y--)]=2n-(---)>2n--.BPT>2஻-g.....................14ᑖn2Y"__i_a26ஹE/(I)R-----=X=(1—÷º2+cx+஻=0(஻஺1)bx-ca=0a/?=1+-2x0=2-21ᵫ/(-2)=----<——=>-l0!x<0ᡈx>2ᵫ/'(x)<0!0q=-1,#a“=-a,iᑣ஽=1'(஺“)1*+

61•e•ci-ci=-n...........................6ᑖnn-./012ᓽ45l+'=f,xுO,ᑣf>1,x=—xt-\?>g«)="l-Inrgr(t)=1-ᵫ£(1,+8)Ag'Q)>0t•/£(1,+8)gQ)ᓫF⌴HgQ)ுg(l)=0-.ߟ1>In/ᓽJ>ln*,x>0জXX>஻K=lnf—l+,1(஺=L—/=*ᵫfw(l,+oo)A/i'(f)>0...fe(l,+oo)/?KᓫF⌴H...//()>%প=0-.hn>l-1tx+l1ᓽIn——>——,x>0ঝXx+lᵫজஹঝTA50...........................10ᑖx+1XXk-1,n+11Vߟ1Wᓝ11Yᡠ[-----

62]TAᡈ=—^ij4=1+—+—+•••d---nnᙠ5஻=i,2,3,…,2007,bcᔜen+1nn111.2,3τ2008i+LL…+232008122007232007BU7^-lfM+11+/W__)_/3—q/~3)+1_l+/(a-x)_/প/ভ_/(x)-lXf(-x)_/[a-x—"J-(q_x)-—/(a)-/(A-)+l-l+/(x)/W—/(«)/(x)—1=u=-/Xbo-hijᑁḄxyxz{ᡂ}/./x4᜻ᦪ----------------------------------------------------------4ᑖ](2)᧕0g/(x+4a)=f(x),ᕜ44a.8ᑖ]஺)+1—(a)(3)f(2a)=/(«+«)=f[a-(—a)]==Of~2f(a)

63f(3஻)—f(2஺+஻)—f\2.ci—(—ci)—£(ஹr/cஹ—r/\——1f(-a)~f(2a)~f(a)ᐜ00,••/()<0--------------(10ᑖ)2஺0,.•./5)-f(x)=>0,/./(X!)>f(x),2JWX\)2A/(x)ᙠ2a,3“ᓫF⌴---------------------------------(12ᑖ)/./(x)ᙠ2a,3aḄᨬᜧz4/(2a=0,ᨬz4/(3a)=-l28ஹfg(I)nM(x,y),ᵫ2+3=6P(0,),Q(-,0).ᵫ•=0,(3,(x,.)=0,ᓽ_=4xnQᙠxḄxு0ᦑnMḄCḄ.y2=4x(x>0).......6ᑖ(II)fgᵫ⚪TAN4ᱥC:y2=4xḄᯖnAஹB4¡ᯖnNḄ¢(ᱥCḄy£n஺¢AB¤᳛1¦ᙠA(1,2),B(1,-2),|AB|=41,ᡠ[&=3,஽=(,___3--4ᵫAB=AAN2=—=Z—|=-...............13x-%13-13Nᑖf¯gᵫ⚪ᩩ±

64yL=4X](1)y\=412ফ<·2J=4(1X])(3)%-M=ºτ(4))(»ᓰ)2+(½%)2=((5)ᵫবஹভÀ"+Â")[)2=(1-ಘŨᐭ(2)(l-/l)2yL=4*+4஻1-±)?Èপ¨ᐭbᓄÊ(A-1)^=1(6)……9ᑖÐ᪵È(3)ஹ(4)¨ᐭ(5)bÒᔠ(1)ᓄÊÓT(l+x)2=—(7)……11ᑖl34À=44ᵫ(6)ஹ(7)f3ᡈ1X|>1,ᦑÖ3~32229ஹfg(I)ØᙊWḄ4=+4=1,ᵫ⚪TAab'cV6=17

652ä=(18&2)2-4(1+3&2)(27•—6)>0,f᝕2<-.nA,6Ḅᙶ᪗ᑖç4(*m)(x,y),22-é227k26ᑣ%+%2=,=᝕(᳝+3),y2=k(x2+3).1+3PÞ4í(2,0),C&,-ã)ᡠ[ï=&i+2,-y),ð=(஽+2,%).Þ4(ñ+2)%-(ò+2)(-%)=(%+2)k(x+3)+(x,+2)4(ᓰ+3)2=k[2xx+5(/+஽)+12]t2“54ó—12—go/k[......-+-----+12]1+3/1+3ó?ö(54%2—12-90÷2+12+36Ó2)=---------------z-----------=0,1+3/ᡠ[ù=2................................................10ᑖ2f2gÞ4ßà4x=-ú=-3,ᡠ[nMᙶ᪗4(-3,0).c-.T¢/Ḅ4y=k(x+3),nA,8Ḅᙶ᪗ᑖç4(*x),(஽4)ᑣnCḄᙶ᪗4(û,ᑗ)x=k(X1+3),y=Zc(x+3).22ᵫØᙊḄþ¯hiT\FB\_x+3\y\22\FC\~x+?>xᡠ[8,F,Cÿᐳᓽ=...........................10ᑖ(1H)ᵫ⚪S^^MFWy^+^MFIIy\2=^\MF\-\y+y\t2

66=—\k(x+x)+6kIt23Ml3,361+3—+3\k\262!2=J■$“=”ᡂ(,3ᡠ*AMBC☢/SḄᨬᜧ34ᙶ.30ஹ78(I)9P(1,-1)<ᐭ>ᱥCḄ@Ay=ax?Fa=-1,>ᱥCḄ@A4y=——,ᓽ=—y.ᯖᙶ᪗4J(0,——)..............................4ᑖ4(II)LM*Ḅ@A4y+l=%(x—l),fy+1=(x-1),.ὶ(@A2QRyF+%STᓃT1=0,[y=-x-ᑣ1•X]=—[]—1,ᓽX]=~ky-1.ᵫ\=9T4(—%—1)=(k\+2)2>0,Fᓃw-2............7ᑖ`ᳮMPBḄ@A4y+1="(x—1),[y+1=^(x-l),,2ὶ(@AdT'QRyFT+fgThT1=0,ெy=-x.JUdl-x=-k-1,ᓽᓰ=—[2_LoH_2.22{,4k[+k=0,/.kw2...................9ᑖ2{LMḄᙶ᪗4(x,y),ᵫBM=AM,ᑣx='.T♦]—1—2—1—2—(kஹ+-2)x—2_2°stu]+஽2=0,.\X=-1..................................11ᑖ

67Nl+4~X^~x2T(%y-1ᔆT(ToT1)~T(T᝕1T1)2-/1-1)y--------=-------------------------------------------------------2222{kஹg±2,/.yw—5.•ᡠMḄ@A48x=—l(y<—1y஺T5).ὃᫀ31.7:(I)fr(x)=ax2+2bx+cᵫ⚪ᦪḄFff\l)=a+2b+c=0(1)ff\m)=am2+2bm+c=-a(2)............2ᑖf{&0,.....3ᑖᵫ(1)mc=-a-2b,<ᐭQ0,@A:(x)=a?+2*+c=0(*)ᨵ£¤¥¦᪷L4§,஽sᵫ/'(l)=a+2%+c=0%=14@A(*)ḄT¤᪷ᑣᨵ᪷¨©ᦪḄᐵ©F2b2b.e««᳝+%=---&=-----y<0<᳝,.................9ᑖa-a®0ᦑ±ᦪ/(°Ḅ⌴³´µ4¶%,%yᵫ⚪L¶஽%y=·¸¹ºIs—«=1%T஽1=2+¼ᵫ(I)OW2<1Fls—rlḄ¾3À4¶2,4)¡…12ᑖ(III)ᵫ/'(x)+a<0,BPax2+2bx+a+c<0,BPax2+2bx-2b<0,

68¹4a<0,ᑣX2+2-2X-22>O,᦮ᳮF(2X-2)2+X2>0,Lg(2)=(2x-2)2+/,*ÄÅÆᐵÇ2ḄTȱᦪ,ᵫ⚪g(2)>()ÉÇ0W.Iឤᡂ(,x+2*-2,(),FᡈᙠÌ],g(0)>0,X2>0,ᵫ⚪Í,+03)q(-00,--U-1,+°°)ᦑf6-1,¹ºkḄᨬ¸346-1.32.(и⚪Ñᑖ12ᑖ)7(1)Ò⚪ÓÔÕÖ×Ḅ¾3Æ0,1,6,8.332p©=0)=0.1,Pᓄ=l)=—x0.9,P(36)=-x0.9,P(4=8)=-x0.9.888F4ᑖÛᑡ8……6ᑖ3|x0.9-x0.9098r-(2)332஺=0x0.1+-x0.9x1+-x0.9x6+-x0.9x8«4.2.……12ᑖ88833.(и⚪Ñᑖ14ᑖ)7পVc2=a2-b2,Ac2=4/n2.……2ᑖs:••=0PF±PF,........3ᑖ.,.|PKq+|PFJ2=(2C)2=]6/“2.……5ᑖt2ᵫäᙊæ|Pᵨ+|èᕜ=2஺=2Û"(êὡ|+êì)2=16/+8=24/T..6ᑖíFî2=],஺2=4*=4,c=2.."(-2,0)ஹF(2,0).........7ᑖ2(2)VF,(-2,0),F(2,0),2ᵫï8=ᓽ|0%ð=2|QMèᡠ*ᨵ8|Qñ2=2(|Qᕜ2_]),LP(x,y),…9ᑖᑣ(x+2)?+y2=2(x-2)2+/-l,…12ᑖᓽ(x—6ð+y2=32(ᡈ/+/T12'+4=0)ò!ᡠóᡠ@A48(x-6)-+/=32.…14ᑖ

6934.(и⚪ôᑖ14ᑖ)7(1)ᵫan+i=an+6an-ia+i+2a=3(a+2a-i)(n>2)nnnn■1=5,a2=5a2+2ai=15ᦑᦪᑡ{an+i+2ajÆ*154✌⚗34úḄ¦úᦪᑡ.......5ᑖ(2)ᵫ(1)F“+i+2an=5-3nᵫûæ©ᦪüFý/1T3"|)=-2(%—3ᓽa-3n=2(-2)n-,ᦑa=3n+2(-2)n-,=3n-(-2)n......9ᑖnn2(3)ᵫ3nbn=n(3n—an)=n[3n—3n+(-2)n]=n(—2)n,.,.b=n(-^)nn2222þSn=lb]I+lbl+...+hl=q+2(q)2+3(qf+...+n(T)n222222--卬2+多3q分3sn2(一22IV௃(Sn=|+(+/)3+…+(|)n-n(|)n+n(f7)n+1=2[l-(f0)n]-n(f9)n+11-322•••S=6[l-3$n]-3n3$n+l<6n⌕'lbil+lb2l+...+lbJீm,-nGN*ឤᡂ3456m7...14ᑖxx<.+“2$2=<=X,=—t2X$35.AB⚪Dᑖ14ᑖ$EF1$24,GHIGJ2KLMᡂ0,y]34ᦑ஻ḄRSUV4......5ᑖ2$EW--XᦪW$(---Z)(----%2)=-----b\/---!-----xxXXxx2x221᝕2_]2TXj%2-------bZ--------F2=w---------F2....6ᑖ-_2XxX2x}x2uᵫg஽21,/—120,/(M)="-1+2ᙠ(()g]mnoXᦪ4……7ᑖ11,21k?-lk24_2k2ᡠq('_/)(s_஽)="_"+24t.ᵞ+2=t_2+v=(s—5)X\X2U--4ᓽG2>1KyLz----%$----{$|$2ᡂ3.........9ᑖX.x2k2EW}yLz~ḄW$

70J1.k212x4(---MXv----(222)-(t-|)=----+X,X2---+2X]x2kX1Xxk2422{-(஺_,)-(s+-2)k2-4XjXk2-4%1%(x-x)22212XXK4XX]k2xx4xxx22x2x2᝞4_2=஺-2wᐭ(1-X,)(--X)-(1-|)2=<…"…),……6ᑖ2xx2k4kxx2y2(X|—%2)~NO4k21K4—Kx/2—4k——4(1—K)—k~x^x<042(*}£)(4="}q)<0,ᓽG21KyLz(■-x,)(——஽)<4ᡂ4%~᳝஽᳝x2k23............9ᑖ(3)EW(XᦪW)12(--^)(——/)=஻+^-+2=/3),KiJ(---)2=/(—),xix2u2k2Ek2ᓽ'/“$2/—$,“w0,Sឤᡂ3ḄḄU........10ᑖ44ᵫ2$4⌕'F-X$T-X2$N2-,X1,X2$e£ឤᡂ34¡ᨵ0£ᦇ£1,\-k2I----I----¥¦1᝕2ு04}XᦪyW$=M+----+2ᙠ0,m⌴ª,ᙠ«Ji=+8$m⌴Mo.......12ᑖ22“2kkI——r2⌕'Xᦪ/"$ᙠ0,Lmឤᨵ4“$Z/L$,¡ᨵ—£V1-^4ᓽ/+16/16W0,444E0ீ®446—8..........14ᑖEW}yLz~ḄW$,°411ஹ/2x,-xj24-^2x,x,-4Z:2$ᵫ2$¯/$v_%$----$2=²~--2᳝³22k4®᳝ᑐ2⌕yLzឤᡂ34¡64^b஽4k220ឤᡂ34.......10ᑖ

714-4”2ᓽ6·ឤᡂ3,........11ᑖk2E4-4%2ᵫ0£¸஽¹<sᓽF+16%2—164O4.......131244k2ᑖEOvZ2K4º—8.¥¦yLzᓝ¸$¼ឤᡂ3Ḅ}ḄUn0<%4⌲8.14ᑖ36ஹEF1$¿ÀᙊḄᯖÃV2c,¥V£=Å4ᡠqᨵᓃ·"=2,ᦑᨵ/=32஺Ça3a23ÈÀᙊCḄÊ˯ᓄVFx2+3y2=3&2জ.....2ᑖ᧕ÐᯖÑFḄᙶ᪗V42b,0$,Ô⚪ᨵ4BᡠᙠḄÖ×ÊËVFy=x-42bঝ.....3ᑖᵫজ4ঝᨵF4x2-642bx+3b2=0ঞ¿4{4¡$,3>24Ù$4Ú4BḄ_ÑNxo4y0$,ᵫঞÝÞßàᳮᨵ:ᓛ+x36b/T,41,2/=—<=I-4=%஺72b=~—t>-ᡠqK°NᓽVᡠ஺5ᑖ,X஺32$ãᯠ஺4å஺B¯Væ☢ᔣéḄêëì4ᵫæ☢ᔣéëAàᳮ4,-íæ☢ᑁḄᔣéOM,ᨵH5ᨵ,ïᦪ4,஻4'LzOM=/1OA+஻OBᡂ3஺¿஻x,y$,ᵫ1$_ᔜÑḄᙶ᪗ᨵ:x,y$=ò<4%$+஻஽4>2$4ᡠqx-Ax+/JX,y-ó+/jyo17ᑖt22gÑᙠÀᙊCm4ᡠqᨵô+32õ+3ó+22õ=3/᦮ᳮV

7222(x/+3yJ)+//2(X2+3y2?)+2A//(xx+3)=Ù)=3b?0ট2l2Ð3ø3b2g”²ঞùFX]+X)=---------------------,Xi*Xy-----------------Oúq24xx+3y,y=xx+3(X]-V2/?)(x-41b)-4-xx-3-42b(x+x)+6b2ঠ122t22t2l23b2-9b2+6b2=0gAஹBᙠÀᙊm4ᦑᨵ(xj+3yl2)=332,(x22+34)=3/ডঠ4ডᐭট¯F|+஻2=i஺......”ᑖ,-ÀᙊmḄþÿM,ᙠᦪ0M=4஺4+஻஺8ᡂA2+//'-1ᙠᙶ᪗#x-o—y()P(2,஻)-.x/01/234.560P274Ḅ26,:ᯠ/l=cose,஻=sin஺஺BCDEFGᙊCJKLMᙠ6(9eR)EOM=CO5^OA+sin00Bᡂ஺37ஹ(1)ST:-M(x,y),ᑣᵫ⚪-YIM/l=ly+2l—l,.......1ᑖᓽ"2+-1)2=|y+21TayN—2c,=y+l,ᓄeYx2=4yE.......3ᑖay<_2c,7x2+(y-l)2=—y—3,.......4ᑖᓄeY=8y+8hy<-3iᔠᦑMḄlmCḄnoD᮱=4).......5ᑖ(1)STrE•.•Mᑮ/(1,0)Ḅuvwxᑮ6/:y=-2ḄuvyF1,•••Mᙠ6/ḄJnMᑮF(1,0)Ḅuvhxᑮ6l':y=-1Ḅuv{.......3ᑖ.••MḄlmCD.|2ᯖ/2~6Ḅᱥ6ᡠ.6CḄno2=4y.......5ᑖ

73(2)a6mḄ᳛iᙠcxh6Cᨵiᔠ⚪L-6mḄno2y-2=k(x-2),ᓽy=kx+(2-2k),ᐭX?=4yYi-4+8-1)=0(ਮ).......6ᑖA=16(/_2k+2)ு0AeRឤᡂᡠ.6h6CឤᨵiḄ-A,BḄᙶ᪗ᑖ24/2),8()ᑣ[+2=4k,xx=8(᝕-1).......7ᑖy2জᵫ=2,JU=1YPD¢ABḄ(x+x=4,ᑣ4᝕=4,Y%=16ḄnoDx—y=0.......9ᑖt2ঝAB1=7(x-x,)2+(>-y,)2=^l+k2)[(x+x)2-4xx]=ᵯ+-2k+2)222t2t0ᑮ6mḄuvd=1,SJABId=411—1142—21+2=44—1|+(᝕—..........10MB0vS=472,.§.47(^-i)4+a-i)2=4V2,MB0(0-1)4+(1)2—2=0,(0-I)?=1ᡈ(k—I-=2(¬).•M=oᡈ᝕=2.......12ᑖa᝕=0cno(ਮ)ḄS2±2¯°ᦋ=272,X,=-272,ᑣ;I=-2=3—2/-272-1°ᓛ=—2X2=2a,ᑣ4=2~—=3+2-\/2.......13ᑖ"2V2-2a¶=2cno(ਮ)ḄS24±2·°ᓰ=4+20X]=4—2¹,ᑣ4=2ᔁ=3+20-2-272°ᓛ=4-2J,%2=4+2/,ᑣ/1=}2+2*=3-2º14ᑖ2+2V2

74ᡠ.4=3+2»ᡈ/I=3—2¼38ஹSE(1)♦.•ᓃ(”,S“)ÁᙠÂᦪ/஺)=1+2%ḄÃÄJ.•.S“=஻2+2஻(஻eN*),anÆ2ca=S-S„_1-2n+l.nnan=lcq=3ÉÊJᡠ.ᦪᑡ{%}ḄÎ⚗Ð2a“=2஻+l.....3ᑖ(2)ᵫ/(x)=/+2xÑÒÓY/'(x)=2x+2♦.•ÔḄᑗ6Ḅ᳛2Ö.•.×=2஻+2.b=2%=4.(2஻+1)4.nT=4x3x4'+4X5X42+4X7X43+---+4X2஻+l)x4”জnᵫজX4,Y4T=4x3x42+4x5x43+4x7x44+…+4x2n+l)x4),+l@nজ-ঝYE-3T=43x4+2xK++…+4")-2஻+1)x4,,+|]n42(M4"T=43x4+2x----------(2n+l)x4(,+11-4.-.T=ܱ1.4-2_3..............................................7ᑖ99(3),/Q-{x|x-2n+2,neN*},R-{x\x-An+2,nEN*}QR=R.{•Cc”GQCR,ᐸ(GDQcR(Ḅᨬyᦪq=6.,/{c“}DÐáD4Ḅâᦪ,CM=4m+6(meN*).‘110<4+6<115ä110

75=>4+i=2a“-1(஻>2)--------2ᑖ3ä஻]=1,%=2BÉÊJ஻஻+]=2a஻-1(஻EN")=>-1=2(஺஻1)(neN")rᦪᑡ21DÐw22,✌⚗2q-1=Ḅwᦪᑡ-------4ᑖa,,_[=x2"T=2"-2-------------6ᑖ2ঝS=4+8+…+Q஻=Qτ+1)+(20+1)+(21+1)+…+(2”+1)ঝ5஻=%+é+...+r(2.1+1)+(2°+1)+(2]+1)+…+(2஻-2+1)=(2-1+20+2'+...2,,-2)+n=^^-+n------------(9ᑖ)1_±S—n2"—10”FDlim—----=lim——-----=lim--^-=2--------------(12ᑖ)XT8%+2XT81240ஹSE(1)êx=tKj/(g)=êx=!Yy+/(ë)=!=+/(ínnn2nn(2)«„=/(0)+/(-)+---+/S)+/(I)nnäa“=/(1)+/(îr)+3+/(ï)+/(0),{ðnn1n—\2a=[/(0)+/(1)]+[/(-)+f(—)]+…+[/(1)+/(0)]nnn_n+\a=~~~~(n£N*)n=E,ᦑᦪᑡa,JDáᦪᑡ“4a—1nnTn=bC+bC+…+b4=16(1+*+*+-+1=16(1+(1—)+(------)+…+(------------)]223n-1n

76=16(2--)n32--=s“nT“4S"ὃᫀ41.SE(1)"Cb”=a+n2nb“+i=a“+]+(஻+1)~=2%+(஻+1)2—4(஻+1)+2+(஻+1)~=2a+2n2-2h(n^2)........3ᑖnnᵫq=2a+1Y%=4a,&=%+4=4a+4,EaW—1,/.ó/0........4ᑖᓽô஻õö÷2⚗øD.22ÐwḄwᦪᑡ஺.......5ᑖ(2)S^a+(4fl+4)(2=-3a-4+(2a+2)2".......8ᑖnS“(2஺+2)2"-3a-42+3஻+4anù2c,“(2஻+2)2"-1-3"4ߟ(஺+1)2'1-3”4•.•ô5“õDwᦪᑡ...8622)Dûᦪ%43a+4=0»ᓽ஺=---»..........11ᑖ3(3)ᵫ(1)ýa“N2c,2=(4r+4)2"-2=(a+l)2",2a+1(஻=1)ᡠ.4,=«13ᑖ(a+1)2"-«2(/I>2)ᡠᦪᑡ%2a+l,4a,8a-1,16a,32a+7,ᯠᨬ"⚗$%&⚗'Ḅ)⚗஺........15ᑖ-aw/0,1234ᨬ"⚗8a-l1-a=L34ᨬ"⚗4aᡈ8a-l1.....16ᑖ4

77-ae(L334ᨬ"⚗4a142-஺8934ᨬ"⚗4aᡈ2a+l117ᑖ2-aw(—,+8)34ᨬ"⚗2a+l018ᑖ242.;<পy2=4x14ᑖt2,(2)>N(—,-f)AijF(l,0)o4FMஹFஹNᐳJ4ᑣᨵ6ᑖ—t2tr-ᡠ^-----=ᔛ)4;Of=&,8ᑖlr-1z-14ᡠ᝕=T=20,10ᑖ2-1FU4VJMNḄWX$y=2Z(x-1)஺11ᑖ(3)“⌮ᔣ_⚪”)জcdeᱥJC0)ḄᯖjF,kjFḄVJleᱥJCmPஹQpj4>jPᐵmXsḄtujR,ᑣVJRQwkxjA(-^,0)஺13ᑖz{<>kFḄVJy=k(x-]),P(X]4x),Q(x,y),A-y)22y~4%2nO᝕2/-(p&2+4»+—p2A2=o,ᡠ=e_ᵫ414ᑖy=4~4zu-9—)15ᑖRAXr,+d--Px+p12,2᝕(92—9k(xx—yXj)k(X1i2kQAARA16ᑖppp%2+-X|%2+%X+~ᡠVJRQwkᯖjA஺.......17ᑖ<ᡂ;ᨬO6ᑖ஺

78ঝkjA(—5,0)ḄVJleᱥJCmPஹQpj4FPeᱥJlm)jR,ᑣRQᚖVmxs஺<ᡂ;ᨬO6ᑖ஺ঞcdeᱥJC0),kjB(m,0)(m>0)ḄVJleᱥJCmPஹQpj4>jPᐵmXsḄtujR,ᑣVJRQwkxjA(-m,0)o<ᡂ;ᨬO7ᑖ4ᐸ'_⚪3ᑖ஺22“⌮ᔣ_⚪”8jPᐵmXsḄtujR,ᑣVJRQwkxjA(2-,0)஺c<ᡂ;ᨬO9ᑖ4ᐸ'_⚪4ᑖ஺22“⌮ᔣ_⚪”&jPᐵmxsḄtujR,ᑣVJRQwkxjA(,0)஺c<ᡂ;ᨬO9ᑖ4ᐸ'_⚪4ᑖ஺ᐸ;᯿¡ᑖ஺43.প4+=5+2a஻,Fq=1,ᡠ£=?ᔩ=¦.........................2ᑖ16-8a,84(2)F>0,%+1ு0,ᡠ16—84>0,0<஺஻<2...........................3ᑖ5_5+2©5_48&-<)_3ª-<....................................---ߟ----------------------ߟ--------,JZrt+,416-86432(2-q)22-anF2—>0,ᡠaߟߟ஺஻—a®4.....................................6ᑖtl+Fq=a--<0,a--<0,23144'4*4…4a--<0,BPa<—.......................................................8ᑖnn44315ஹ31(3)-344b=-zan»------²----------------n422-³422-6131<-----Ug1=2“1......................................................10ᑖ22--4ᡠ/<2•b,i<22-b_<-<2n-'b=2T,...................................12ᑖn2lI1(1\3-«τᡠS“=·……+=—_=-(2H-1).........14ᑖ1244.(1)•.,-a=l3/'(X)=3X2-3,¹/'(X)=0,Ox=0ᡈx=l2ᑖ

79-XW(O,1)3»(X)0.../(X)ᙠ(0,1)¾ᓫÀ⌴Â4ᙠ(-00,0)Ul,+8)¾ᓫÀ⌴Ã,.../(X)Ḅ᩽"Å/(1)=-2,.................................................4ᑖ(2)Vf'(x^=3x2-3a>-3a..................................................6ᑖ⌕ÈVJx+y+m=0tÉÊḄËeR̲$Jy="ÍḄᑗJ4-ÏÐ--k-3a,a<—......................................................................8ᑖ3বFg(x)=|/(x)|=k3-3Óᙠ-1,1¾ᏔÕᦪ4ᦑ×Øᙠ0,1¾ᨬᜧÅ4.......9ᑖজ-3,f'(x)>0,ᙠ0,1¾ᓫÀ⌴ÃÏ"0)=0,•*-g(x)=|/(x)|=/(x),8F(«)=/(l)=l-3a..................................0ᑖঝ-a>03=-3a=31+Ú))Û)i.G1,ᓽÝ13g(x)=|/(x)|=-/(x),-4x)ᙠ0,1¾ᓫÀ⌴Ã43Þ(.)=_/প=3.—1......................................................12ᑖii.-ᓽ00ᓽ0/(l)=-3aᓽw

80b—hé{Bn}ᙠWᔣᔣí(1,6)ḄVJ¾4.¾~^=6,ᓽa=6஻+1-஻b=—ci+6(஻—1)nCl=%+(6Z—%)+(%-î)+…+)³)1)=4+d+%+…+b“_[n2/\(1\(஻—1)(஻—2)(=a+()஺)(஻-1)H------------x6=a-a(n-1)4-3(஻-1)(஻-2)=3n2-(9+a)n+6+2a(n>2)(2);8ðÕᦪ/(x)=3/-(a+9)x+6+2a$ñòᔣ¾4tusx=Ḅ6eᱥJéFᙠóa,p⚗'ôõᨵ•⚗$ᦪᑡaḄᨬ"⚗4ntusx=ö÷øùᙠ1■,”ᑁBP—<üý242—4YX+4T+3=0,Dߟ3*0A>04k2x.+x=———>0'22E-34k2+3ᵨ,%=—L---->0'2E—3N=O>3........................................................5ᑖ(i)MP-MQ=(%j-m)(x—m)+yy212=(x,-m)(x—m)+k2(x—2)(x—2)2x2=(k2+l)XjX!(2&2+/%)(%]+%2)+஻J+4᝕22(d+i)(4G+3)4%2(2Y+M=------L----------------L-------+m+4kk2-3k2-33—(4஻z+5]22r_=------------+/M.................7ᑖk2-3MP1MQ,:.MPMQ=O,

81ᦑ=3(1—a2)+b2(a2—4a—5)=0cdeḄk2>3ឤᡂ;,m'-4m-5=0)a=-1/MPLMQ.)*1Ḅ+᳛h-ᙠ/ᵫ5(2,3),஺(2,-3)iM(-1,O)jklmᡂ;,no)a=!1/MPA.MQ............................................................................8ᑖ(ii)•••஺=1,=2,*8=!Ḅq......................9ᑖ2ᵫrs=tIPA1=uIPF,1=-IPF,1,1QB\=-\QF,I,e22v!.wᔻ=yum21ABi21y2-ᨴ1Ji+2~τx—Xiτji+♦2irj-2--------------------------=------------=—ji~|......................21kz{!|}12\k\2vk2'■;k~>3,0<——

8247.(⚪ᑖ16ᑖ)⚪ᐳ3⚪,1⚪ᑖ4ᑖ2⚪ᑖ6ᑖ3⚪ᑖ6ᑖNtf'(x)=3ax2+2bx-a2(a>Q).......1ᑖ(1)/=-l,x=2ᦪx)Ḅ᩽21)=0,5(2)=0.................................................2ᑖ3a—2b—a2=0,12a+4b—a2=0,N=஺=6,b=—9...................3ᑖ/(x)=6x3-9x2-36x..............................................4ᑖ(2)Vx,,X2Ax)᩽.•./'()=/'&2)=0.••ᑄஹ3ax2+2bx—Y=0Ḅ᪷.VA=4b2+12a3,.,.¢>()c!ᑗa>0,ឤᡂ;.2baX\+X2=!¤612=!¤3a3•/tz>0,x*x<0.12.•¦X[l+l]2IT%]1=_4(!1)=+................6ᑖᵫ1©1+1ª21=2ᖾ=J/+ga=2/,:.b2=3a2(6-a)..............7ᑖvb2>0,/.3a2(6-a)>0,0

83•*--x)(x-x),............................................................................12ᑖx2i\X~X,I4-IX-X----I!1*39'a).*.1g(x)\=3a\x-I•Ix-x--1<3a(----------------------------—)*..............14ᑖ2<.*x0,x-x<0,]2]2..3஺.ஹ1.3஻l.ozrt¦g(x)IV—[(X-X)-(X-x——)]=1(ª2—ᓛ+§)•12a1x•x=~—.x=a,/.x=.]22]3tz11o1o1.Ig(x)K•(Q+§+])-=Q(3Q+2/......................................................[6ᑖºvt4]ஹQ/(X)=0Ḅ᪷.ff(x)=3(2(X-X)(X-X).............................................................................12ᑖ12a1X)-x=--,x=a,/.X1=22/.Ig(x)1=13a(x+g)(x-o)—஻(x+)I.=1o(x+g)[3(x-a)—1]IVX|

84a2s஻=4a6+6a8+…+(2஻-2)•a2"+2஻•a2"+2+(2஻+2)a2"+4(1—a2)S“=4஺4+236+…+q2“+2]_+2)a2n+4a1,2/(1-/")2a4-(2n+2)a2,1+42a4l-a2n,/crAS”=——>+-----——ᵞ---=——----+1-(71(1-a2)21-a21-a72l-a2...........................................................................(8ᑖ)/A4—^Y<1,Ä01—>—OP௃•OP--3X,X=--/.xx-—,,/2Ppi+PP=0221222x.+%2(2x,!/)_ஹஹᔆ_ᒹ923x-——y=------——^ÍᐭEᓄÑxx-—a^2/.a2=2}222஺=128IIIᎷ0ᙠxÔo-ᙠrGQ,0ÕᵨF2zGM—4GN,0/tX=6+Öᵨzu3ு3}%14¤4}ὶ;/9oḄ=g8km...…—প(4Z2—l)y2+8h×>+4a2—8=0ᦑ<4/«2-8...…ফ

85Ú!4Û=஺3—t—Ü4+4,)!»4)Ú=(2Û,0)1(GM-2G7V)Xy—t—A%4+"=0%(%—Ay4)+(1—+(A—l)z—0(3)ᵫMQ=AQN.*.y+2y=0y=-ᦊ(4)343(3)ᓽ2ᑗ3+(1—l)/n+(4-l)f=0(5),ß(4)Íᐭ(1)(2)"72_?7ᨵà=஺!1bÍᐭ5b=”=*2kmm2.■—*ᦑᙠxÔo-ᙠrG(-,0)ÕKF,1(GMᐭGN)஺m50.Nt(I)â5(x)=Ba/+6x—6a,ᡠ/'(!1)=0ᓽ3a-6—6a=0,ᡠa=-2.(II)â*mឤ(0,9).ᐜå*m5g(x)Ḅᑗ.0ᑗ(x,3%o+6%+ফâg'(Xo)=6%+6.oᡠᑗæ!(3/+6ஹ0+ç=(6/+6)(è-/),ß(0,9)Íᐭ=x0=±l.)/=-1/ᑗy=9,)é=1/ᑗy=12x+9.ᵫ/'(x)=0=!61+6x+12=0,ᓽᨵx=-l,x=2)x=-l/y=/(x)Ḅᑗy=-18,)x=2/¤=/(è)Ḅᑗæ=9.æ=9DᑗÄᵫ(x)=12=!61+6x+12=12:.x=0ᡈx=l,)è=0/ë=f(x)Ḅᑗy=12x-l1,)x=l/y=/(x)Ḅᑗy=12x—10,y=12x+9,hDᑗnoᡠìw=0/y=9ḄDᑗ(III).(1)í+94g(x)=î43x2+6x+3,)x=0,hïឤᡂ;kwR.)-24x<0/hïk23(X+')+6,XÚ3(x+^)+6=—3[(—x)+-^-]+6W—32+6=0.•/NOx(-x))x>0/hïk43(x+')+6,•.•3(X+')+6»12Ak/i(-2)=848x⌕Õ/(%)«÷+9ᙠ!2uᑍ<0oឤᡂ;ᑣb48

86ᵫoìù⌕ὃ⇋0ீW8,ᑣ)x>0//(x)=—6/+16X+12=—6(x+l)(x—2).•.ᙠxw(0,2///(x)>0,ᙠ(2,+oo)///(x)<0/(%)ᙠx=2/ᨵ᩽ᜧᓽ/(%)ᙠ(0,+8)oḄᨬᜧÄ/(2)=9,ᓽ/(x)W9Ú)x>0,b20/í+9>9,f(x)

87<>25g(x)=—x2+(ߟ-—)^4-->LᙠXG[0,+8)LMឤᡂ82224ᓽx2+4(1-m)x+2>0ᙠxe[0,+oo)ឤᡂজ9<(),ᓽ[4(l-m)|2-8<0,0ঝv—2(1—஻2)<0<=5mW1........2ᑖ2[/(0)=2>0/1`ஹbcmG(—8,14—^ߟ)52.ef5(1)L⌕ឋhibnlmnoᦪᑡr✌⚗ᒹvod1,n(n-1)y,n-\,mlzz=—(nbஹH--------d)=b-\-----dxn22•••f+}~=[,ilm)vom[Ḅnoᦪᑡ……4ᑖ22ᐙᑖឋhilmnoᦪᑡr✌⚗vodᑣ+h----1-b=஻+(஻-1)J]=dn1+(q—d)n2nbஹ+hH----Fb“_\=d(஻1+(q-d)(஻-1)(஻>2)2b=2dn+a,-2dMn>2nn=lBb|=஻j'〉ᔠVbi-b=2d,:.il)vom2dḄnoᦪᑡ.......4ᑖn+n2)5i%lmnoᦪᑡḄᐙ⌕ᩩ)i♦lmnoᦪᑡbn=bᔣᐸa=஺“஺“+2n=l,2,3…........4ᑖ53-⚪¢ᑖ12ᑖ<5পS3=5,ᓽ¥3¦ᵬ2¨1©....................................1ᑖᵫªᵬ«Ḅᭆ᳛m,©Ḅᭆ᳛m,Ḅᭆ᳛m........................2ᑖ263W53=5Wᭆ᳛m¯l2.\=±......................................5ᑖIDS§=7J=4,5,ᨬ`¦ᵬ«...................................6ᑖ%"4=஺¸᜛§=55...................................8ᑖPL4=5=C5±±}±+0±±¯!±?±=TJT+A=Zo23oZZZlo12Zlo

88&ḄᑖÀᑡm45119A16216•10ᑖ149E£-4x—+5x---12ᑖ1621621654(-⚪¢ᑖ12ᑖ)<(I)ᵫ/=4)Wy=y'=5x."#/Ḅ+᳛mÄ|ᡝ2=1ᦑ/Ḅ%Çmy=x—l,...ÈAḄᙶ᪗m(1,0).rM(x,y),ᑣÌ=(1,0),BM=(x-2,y),AM=(x-l,y)>ᵫÍ•Î+ÏÐÑ|=0W(x—2)+y,0+&•7(x-l)2+y2=0,᦮ᳮW1+V=1.ÔÈMḄÕÖCm×ØÈmÙᯖÈᙠx$ÛÛm2`ÜÛm2ḄÝ(H)᝞ᵫ⚪ß/'Ḅ+᳛àᙠámâ,r/'%Çmã=ä~-2)(&=0)জåজæᐭ+y2=i,᦮ᳮW2Qk-+l).x~—8k~,x+(8k--2)=0,ᵫ9ு0W0<&-<.28dx.+x=------'222A2+1তr£(/ᨴ)ஹF(x,y),ᑣ<2281—2'x,x=--——22k2+1î4=ḇðᑣ;=ò,1SAOBF|8ó

89♦‘‘Y-2ᵫô&WBE=QBF,õ=ö0],y),3(2)ᑣ,2+#=1b~%&'.&±21=_'ᑣ-.2=].=ᧅᓽ/=22ᦑx\~x2xi+x2a42crJ(2-4A+222ᵫ789:;<=-᳛6=τa-.τIa—2II--------4IC(2)ᵫ%

90y——x+3_,,,"3x72—12x+18—“2=0ᨵA=122—12(18—/)>ox2+2y2-a2=0ᦑa>2fla-2V2l<2kᵫফ1ᓽmᦑ஺ḄI"2j2l[a-2^j2^Q(p2⊟U(2&2+2&).ᑣst2aḄ(276,472)U(472,4+472).—----=4(஻eN*)C.ᦪᑡz{|}~ᦪᑡ✌⚗1=1~d=4a.a4-=1+4("—1)a„~21••a=----n"4/2-3••.>0="T](4£N*).......(4ᑖ)1T(2)ᵫ%=/T=16஻2—8஻—3j4஻—3a,,2"(4n-3)=(4n+1)7+(4n-3)(4஻+1)T/஻+l—^=14஻+14/2-3T„=7\+஻l4஻3

91:.T“=(4n-3)(Tn-l)l+Hb+E}~ᦪᑡ,ᑣT]-l=0,(=▲=1n.,-=8஻-7neN*._222j4஻-3J4.-3+J4஻+1_J4+1-4஻-32***s=%+஻2—>5(Vs—i)+(V9—V5)n+•••+(V4H4-1-V4H—3)=14+1-1nwN*................12ᑖ257ஹ(1)-l)a஻=a“+2஻a-=2(n>2)n++a=2,a=s+2,a—a=2,ᡠz஻஻|}~=2n1212](2)J12n-1n+…+——----22222஻T2"Jஹ1஻+2—T=2-(n+2)—,T=4-----22"2'i58(I)P(x,y)ᦪy=/(x)%Ḅ¡¢ᙠᦪyg(x)%,1x=x+—aḄ£¤¡P'(W),ᑣᵫ¦§¨"2ᑖ,1y=y—2a_,1X=X---aªᐭᦪy=/(x)=—஺¬"2a

92+—=-a(xr--)2-a.........................2ᑖ2a2a111Jᦪy=g(x)Ḅ⊤®¨Eg(x)=—a(x——0)2-a------.................1ᑖ2a2a(II)ᦪg(x)Ḅ£¯tEX=->0.aiজN0<±<²■ᓽa>´Oᦪg(x)ᙠµ72,2¶%E·ᦪa2/.h(a)=g(V2)=-V2........................2ᑖঝNW—V2ᓽVaW'"O஻(஺)=g(—)=-Q------஺22a2a/.h(a)=-a———=-(a+—)<2Jo•—=-V22a2aV2aN¹ºNa=42O}»;2ᑖ2ঞNL>2ᓽ0-----211V2¿%À

93.•.AB]±CMZOMC&☢ÌC—ABi—BḄ¦☢ÌᙠRtAOCM¬OC=V3,OM=tanZOMC=Ñ=22OMZOMC=cosC+sin2&☢ÌC—AB—BḄᜧEarctan2.8ᑖ(3)Å¡OÆON_LCM,♦.•Ò8|_1_¦☢00^,.".ABilONON_L¦☢ABC஺ONO¡ᑮ¦☢AB,CḄÔ=ᙠRfAOMC¬,OC=&OM=—.ACM=J3+-=—2V42nV3OMOCVJXT_V15""(JN=---------=7=-=-----CMV155FÏÐBCi#BQÕÖ¡H,ᑣHBCiḄ¬¡AB#Gᑮ¦☢ACBiḄ×஺kABḄ¬¡Bᑮ¦☢AB|CḄÔ=¡Oᑮ¦☢ABCÔ=Ḅ2ØGᑮ¦☢ABCÔ=EÙ5.12ᑖ560ஹ(1)ÄSCḄ¬¡R,ÏQR,DR.ᵫ⚪<2஺஻8஺¹Ú஺,8(7;2QR//BCS.QP=-BC,2C.QR//PDHQR=PD.C.PQ//DR,kP஺2☢SCO,.•.PQ஻☢SCO.............................(6ᑖ)(2)ÛÏÐSP,-.-5PlABCD,SP1ABCD.Üᡭ¡"ẆQHSP,:.QH1ABCD.Æßàᵫ¢ᚖ9:UᓽEᡠ]&☢ÌḄâ⊈Ì.££11-n---2-422ᙠHRB஺ZPBC=90,PB=—a,BC=a:.PC=—22

94/.HG=PH^nZ.BPC=-ax-^=^=a.tanZQGH=—=,402sHG82a—a2-------------------------------------------2V7arctan^&☢ÌḄä¬E஺ç12ᑖè2ç2èÛ&PEᙶ᪗ë¡ExtP8EytPSEztîïðñòÌᙶ᪗ó,ᑣS(0,0,—a),B(0,—«,0),C(-a,—a,0),Q(0,—a).22244h☢PBCḄÛᔣ÷EPS=(0,0m஻)஻=(xyz)E☢PQCḄ•úÛᔣ÷,ò0+ûü=0஺n-PQ=0ᵫ,____=<4="=(ýG,-ÿ),n-PC=032-ax+7-ay=()2,☢Ḅ஺arccos-------.........(12ᑖ)11ὃᫀ61.⚪ᑖ16ᑖপ":$%&ᦪᑡ)ajḄ,&-d,ᑣai+2d=4,3ai+3d=18,"5a1=8,d=-2,ᡠ7S“+஻"Td=2+9஻.............................2ᑖ"12

95S+S1ᵫ“2"2—S஻+1=5K—஻2+9஻)—5+2)2+95+2)+25+1)2—18(஻+1)]=-l<0s+q5~2~<5,1+1'〉ᔠᩩMজO,9,81Ps“=Q஻2+9஻=Q(஻Qὡ)2ᡠ7Sn=4ᡈ5VWS“X5ᨬᜧ[20,ᓽSW20,〉ᔠᩩMঝ_`W)S.,aGW.....................................4ᑖ(2)"c-a=5(஻+1)-2ᔣ-5஻+2"=5-2"ᡠ7Sne3VWb-b<0,fVᦪᑡHb,,+ᓫh⌴jOn+lnS᮱1,2VWb-b>0,ᓽcfᦪᑡ)4,amḄᨬᜧ⚗-o=7n+]nᡠ7Me7.....................................8ᑖ(3)"Ꮇ$rᙠt᦮ᦪk,w5c*>C*Tᡂ|ᵫᦪᑡ)7aḄᔜ⚗ᙳt᦮ᦪW5qNq+I+1ᓽc*+iWq-1c"Wᡠ7q+2<2c-c<2(c,-l)-q=-2k++kCjtᵫc*+242c*+]—c«c*>c*+”c*+2<2c*+2—C*+]—C*+],ᦑc«+24CE—1c^-ck+2,ᡠ7q+3—2c«+2—Q+i<2(c*+]—1)—c*+i=c*+|—2Wq—3................W5Q+wwC-m(ineN*)k$=p(peN"),ᑣS=஻VWᨵc«+p0O(2)SkN2VW«4¬᝞¦ᩩMS®¯^20VW%=%Sீ0V,%="²,bk=bp.

96"¦ᑡ³⚪I´µᦪᑡ)%-4a-%¶ᦪ·UOII¹ᦪᑡ)஻4-%aḄº஻⚗¥S”W»¼½S஺>1VWlim2=0,¿limS஻.nn->oofj஻Q>8III஻À22-¬&ுÃு…Ḅᨬᜧ᦮ᦪVWᵨ,&⊤Ç஻¬ḄᩩM."IS20V,%-4=4T-«*-.WS<0VW…=b.-=᎔k¤,ktᡠ7ÈÉÊËÌW¢ᨵÃ-4=g%T-&TWPᯠ஽-4>0,ᦑᦪᑡ)%-4a-%¶ᦪᑡ….4ᑖIIᵫI½Wb-a=ªQ4Ï"'>ᦑ"S"Q஺"=஽Q4,>nns,,=4-41++?+…ᑶ,ᨴ7Os,=4_qL?+…+/"+Öᡠ7;S“=4Q41+O+£+~+ÙQWWS“=஽-qÚ4l--...7ᑖ17PSVWlimQ=0,ᦑlimS“=4஽Qq.8ᑖ«->oon->ooIIIS“>2>…>"஻N2VWb*b_2%>…>"(஻22)Ḅᨬᜧ᦮ᦪ.cf஻-¬â᛻<0Ḅᨬ᦮ᦪ.(12ᑖ)""+'<()oq+(b]-q)(3"<0=—~~—<2"<=>log——ߟ

97SaNOVW஺/+ë-1ᙠফ+8)`ឤᜧîWᓽ/(3)>0,ïᔠ⌕¿O2ᑖSdVOVWñg(x)="2+ᡀ_1,g(óᙠফ+8)`ôõឤî1+4஺>0ᦑö=l+4a<0ᡈWg(2)V0"5¥ggQu4ஹ2a.'.aḄX[ø-(-00,-L]U[O+8)6ᑖ4Y—1(2)^=0VW—=±71xSOVxVlV/(ù<0,SX>1V/(X)>0,/(X)min="1)=18ᑖ(3)ú´ûᎷ$=b>l,ᵫ(2)ln±~+-^-21ுlnx஻+üQWb4/+i/.-^ߟ>

98h+—!—(/?GN*)4+1by,I171ý71ஹ1,InZ?1...1ஹfix1=—>lnZ?+——>lnZ?+—(lnZ?+——)>lnZ?+----+—r-(Inb+——)>•••X]xbxbITX234>(1+—+—5—+•••+—+•••)Inb=——!—Inb,ᓽQ!——InZ?<1জbb2bnüIbbPᵫফSb>lVWlnZ?+—>1,A-lnZ?>lbb.11----bজWᦑ6W1,ᓽxiWl,ÿᳮX2WI,ZiWl,…X"W1(஻WN*)14ᑖ64.(I)f'(x)^3x2+2ax+h.⚪ᑣᨵ/প=4l+a+b=4,ᡠ(,ᡠ/(x)-x3-6x2+9x/'প=03+2a+b=0b-/'(X)=3X2-12X+9=3(X-1)(X-3),ᵫ/'(x)=0x=lᡈx=3஺/'(x),/(x)ᙠ(0,4Ḅᓄ:X0(0,1)1(1,3)3(3,4)4/1(X)ᓝ0—0+%&(&%&/(X)0404ᦪᦪᦪᡠ&ᦪ/஺)=1-61+9+ᙠ0,4Ḅᨬᜧ./4,ᨬ0./0஺(II)ᵫ&ᦪḄ123/4ᦪ55>0,ᦑ᩽.8(3,0)9ᙠs,H(1):᩽.8M(l,4)ᙠs/;<0

99/4,9?@AfᦑᙠCS,fEFᨵ᩽.8;(2):/'(x)=X5—6/+9xᙠ[s,r]ᓫT%ᓽ0f=l<k=4;t3ᵫR=(s—3)2,0/«),⌕b஺k

100(2):&ᦪf(x)ᙠCs,fEᓫT⌴%ᑣ02)ᡠa“=n(nGN*)%a%12n-1,211,(3)ᵫ(2)b,=-,b=-b1+b>b>b_>...>b,>0,n+innnx2KᡠÇ"È/ᓫT⌴%ᦪᑡᦑ⌕/<15ீQÊ◤/<1

1011119:ᦇ=1,ᑣ஽=e<1ÍᯠᡂÐ:᝕¦2,ᑣ஽+1=—k+஽<—2Ñᵨ+22kkᡠ-------->—Ó;b”k,111ஹ11,1k-lc+1—=z(-------)+...+(z------)+—>-----+2=----4%b_b©Akkk}2ᡠ/<Öe<1ᡠ/<1(஻WA)xk+\,"஺66ஹ(1)&ᦪḄ123(-l,+oo),Ø(x)=2¤(x+l)——j_E=2<+2)_x+ljx+11ᑖᵫ/'(x)>0x>0;2ᑖᵫ/'(x)<0el—+2,8ᑖ\e)eeC.xe<,/(x)Ḅᨬᜧ.e2—2,ᦑáுe2—2<,9@k/6)<ãឤᡂÐ.e9ᑖ(3)rw/(x)=x2+x+஻ᓽx+1—21n(l+å)=a.æg(x)=x+i-21n(l+x),èijgoX>1;ᵫg'(x)<0—1+xx+1ᡠg(x)ᙠC0,1E⌴(;ᙠC1,2E⌴%.ég(0)=1,g(l)=2-2In2,gফ=3-2In3,g(0)>g(2)>g(l)10ᑖᡠa>1<rwê3—21n3

1022—21n2\x<0.……(3ᑖ).,.জ(x)ḄᓫT⌴%(0,1),ᓫT⌴((-oo,0),(l,+oo)....(4ᑖ)(2)ᑗñḄò᳛=g0,஻ভᙠ(-00,2)789:ᦪ,……(13ᑖ)஻(a)4஻(2)=2<3,ᓽ(4-a)e5233,>?ᙠ@ᦪa,A#(x)᩽ᜧBC3.……(14)68ஹE!পᵫe=•/(=1-e=2(2ᑖ)3a23ᵫHI/:KL+2=0Mᙊ/+/=OPᑗ/=1bI.ᡠO,b=V2,a=V3ᡠSTᙊḄVW8X+2-=1.(432ᑖ)(2)ᵫᩩZ/.IMFzHMPI஺ᓽabMᑮdbF2ḄefghiᑮHIj!1X1Ḅe

103f/ᵫkᱥIḄdmbMḄnoC2ḄVW8V=4x஺r8ᑖsr3sᵫফ,.Qr0,0s஺2vS,Cs/ᡠSx=4-'%s/?5=r2//C{sᵫ|•}=0,"rC"s+yr%%s=0.16CS,ᓄC={3...........rioᑖs%4=y++32227^+32=64r=/ᓽ=±4gᡂs...........r12ᑖsVlQS1=᩷s2+y=Jry+8s2—64,y>64.ᡠSᕒ=64,ᓽC=±8,1QSl=8V5.minᦑI:IḄB8ஹ6.+8s஺69ஹE!r1sᵫ./bPr-J5,lsᙠTᙊ721ஹ.•.ᨵ+=1©-----------------1ᑖah¡,¢7+-7=0,Mᙠy£7/"MPஹF2Ḅ#b/-------------------2ᑖ.".—y/24-c=0,c=V2.-----------------3ᑖ••ᵫ—஺2=2,ঝ-----------------4ᑖEজঝ/E/=2r/=-1¦§s//=4Jv2ᦑᡠ©TᙊCḄVWCX+j=1஺------------------6ᑖ42r2s•"•ஹMLx,yMᐵhHIy=2xḄ«¬bCMr%/s/00

104AZAX2=-1,X]=-5x.---------------11ᑖ]0ª~P(%,y)ᙠTᙊC!=17/—2W<2,.X—10<—5᳝)<10஺00ᓽ3¸4%ḄBC¹—10,10º஺-------------------12ᑖ70ஹE:r1sC⊟•ὡᨴ=0,ᡠSᨵn_1¾ᡠS¿4ὡÀCHÁÂÁÃ.•.º}|COSNF|AF2=|XE|.................2ᑖᑣᨵ9Å•AF\=9|XF'|JÆgsZFAF=91}ÈX¾L=º}Èt2ᡠS/|Ἐ=3ºË¢...................3ᑖ¡Ẇ+|Í=2a,.•.ÎϾ1..............4ᑖᙠA4KK#ᨵ|ÅÈ=|ᔣÈ+|PÈᡠ©TᙊÓVWCX+sÔ=16ᑖ2rIIsÕ.¾=Ꮙ_³•×-ÍX.᪗Ἐ.×᪗s=r¾2-7VF2=ᾓ-1Ù¾Ú©Õ•᪗ḄᨬᜧBÜᓄC©|2ḄᨬᜧB....................8ᑖ2P8TᙊM7ḄÝb/2r%,%s,ᑣᨵ5-+Þ2=1ᓽ/2=2-2%2

105¡N(0,2),ᡠO¬2=I஺L+()'()—2)2=ߟ(%—2)2+10.................10ᑖ¾y0ᡠS>0=1/¾2ᨬᜧB9ᦑ¾•áḄᨬᜧBC8..................12ᑖâὃäᫀ!71E!(I)ᵫ.OA-OB=(æ6ç)•(஻,-&஻)1ᑖ=-2mn=m-H=4.......4ᑖ4(II)2Pbᙶ᪗C(x,y)(x>0),ᵫ¾=ê+¾(x,y)=(m,+(஻,-V3n),=(jn+஻,6"æ஻))........5ᑖ:.\ᔆí§m,n-y=v3(m-n)2î2-ï-=46஻/¡=!8ᑖPbḄnoVWCx2-^=l(x>0)i⊤ðSᙶ᪗ñbC#ò/ᯖbᙠx£7/@£ôC2,ᯖeC4ḄõöIx2-^=lḄ÷ø........9ᑖ(III)2HI/ḄVWCx="+2,ÚᐸúᐭCḄVW3()+2>-/=3ᓽ(3r-l)y2+12ty+9=0᧕.(3Ô-1)00(ᔲᑣ/HI/Ḅþ᳛ᔠ⚪)=144Z2-363/-1=36஺2+1>0"MX%H,Nx2y2ᑣ%,//CḄ/012M,Nᙠy4Ḅ56

10672=3+28+2=/%ு2+2«%+%b+4:/—2—+2…12.+43/<13=<1=->?@03=<13=

10722.g⚪h⌕ὃklᦪnbcஹpqḄrgst⌕^uvwᑭᵨlᦪḄbzU{|ᦪḄ}~ឋnᨬ⚪ᔠᳮḄ⌶᪀⌼|ᦪḄbzpq.Yᑖ14ᑖ.U:W(1)//(x)=x+-,g/(x)=a+l»....................................2ᑖx7f(x)=yx2+alnx-(a+l)x,,:/(x),g(x)ᙠ[12]ᓫ~|ᦪḄᓫ~ឋE/'(x)g/a)=^^Q+l)NOVxelUb(a+l)(a+x2)^O,.............4ᑖxW<24<1,04_/ᡈ0>_1(aw-I),(<)7=T,a«-4ᡈ஺><1.......................................6ᑖ(2),.W(x)=x+g-(a+l)=x2J:0=0==[ᡈX”,XXXV*2-(4+1+஺=0ᨵ/p᪷0\¢aV᜛/?e(l,e]»a=\p=ae(l,e]»...........................................8ᑖy:¤xe[a,ᔊ¦”'(x)40,ᙠ⏚,ᑗᓫ~⌴ª:=H(DHQL="(᝞ᑣ®Ḅ᳝,஽e[a,᜛],IH§g”(*2)|4H(l)-H(0=[g-(a+l)]-[1a2+alna-o(a+1)]=~a2-alna--»............................10ᑖ22"r(a)=,a2-alna-L,ᑣ«a)=a-l-lna,:¤ac(l,e]¦/(஺)=1->0,:«஺)ᙠQ,e]ᓫ~⌴°................12ᑖa••>/(l)=0,•«a)±ᙠQ,e]ᓫ~⌴°:.t(q)4r(e)=~e2—e——=e(——1)——<3(2—1)——=1,222222pq|஻(X|)-H(X)|<1®Ḅ´G[a,0ᡂ¶.............14ᑖ273UW(I)¤0

108fr(x)=6x2-10QX+4஻2=2(3x-2a)(x-a)=6(x--)(x-a)......5ᑖGOQপ¤Æ<&1,ᓽl0,¤¦/'(x)<0,../(X)ᙠ0,Gᓫ~⌴°ᙠ(ÍÎᓫ~⌴ª.,2a28,Ò3,,(—0,à¦g(a)ᙠ(1,])Û°|ᦪ28,3777ᑣg(a)<<—_6=—_b._b<0,^h>-.....জ.............2712j22212ᑖ3r3(2)¤¦g'(a)=8a—5ுO,à¦g(a)ᙠ-,3Û°|ᦪg(a)ḄᨬᜧÛg(3)=23-Z>.23-/><0,UH8N23.........ঝ....................13ᑖᵫজஹঝHÝᦪXḄäæÛ6223.....................14ᑖ2274U(I)"çᙊ஺ḄbcW0+:=l(a>b>0),ᑣ஺2

109»2i2j441.Ð.0405=1,Ð1,--=1-^-,ᑣ1-ð=:ᓽ“2=6/......ঝ…3ᑖaaaa6ᵫজঝRSa,H6/-/_i=o../2=j_ᡈ="(#[,))|)A(#2")ᑣX|+B2=—5——XlX2=-5-----3C+16k~+2|A5|—4I+k~|%|G%21=1(1+k-)[(xi+x,)2_4X[X2]஺+1IJ2G46k2-3ஹ]6(M+1))]=^P7T9ᑖ6k2+2R4?ḄT"M,ᑣM23k2+1A4BP"WXYZMPḄ᳛"A33k2,+஽23(r+1)•/x=—x-X2Pp2p31+1)-\k'2(3/+1)11ᑖ3(ab+1)cd2+1)A48\"WXYZ,2(3/+1)G஽31+1ef᝕2=1,%=±1.13ᑖ

110ᩩḄ/iᙠk/Ḅ&'"x-y-l=Oᡈx+y-l=O.……14ᑖI21175em(I)•.•G=(—1)"--------1)"=(—2)[——+(—1)"T]....................34%%%-iᑖR•••o-+(—1)=3,p.ᦪᑡ+1)”)s✌⚗"3,7v"—2Ḅwvᦪᑡ.……5ᑖ%4J-L+(-1)"=3(-2)"-1,ᓽ#=—.............6ᑖy“3-2"-1+1(II)b=(32-|+1>=9.4“T+6-2,,_|+1.nS"9J(I)+61(l*)+“=3-4"+6-2"+஻—9.......................9ᑖ,1-41-2(III)•.♦sin{|=(-l)i,2(G1\1}3(-2)-(-1)"3-2"-'+11111஻23,ᑣ~“---------1----------------1------------------1-…-I----------:-------3+13-2+13-22+13-2,,_|+11111]11G(y2]<__|___|______|______|______=____|__L£____£____473-223"3-2'"'~281-111lJ,_11147484riv212862286848474•|<72<73,Ḅ஻WN*,7p<]..................................14ᑖ76ஹ(1)U(x)=*3+2)(x-l)J(0)=o/(0)=-2aᡠᑗ&'"2x+y+1=0aA3=0(2)2ᑣᐗ=——,x=la,ᡡ⌴ṑ(ᓫ⌴-21)஻G2/(x)ᙠAaaḺᙠḄ0J(x)R

111-2஺0/(x)ᙠA4ᓫ(1,ᓫ⌴C)aa(3)஺0,X32_2(C,1)1(————)(l,+oo)aaaa+0-0+fix)᩽ᜧ᩽MfM•••/(--)>0,/(1)<0a"ᨬMa:.--ea+->0^^,+ooaaaae(0,In3]x—277ஹ(1)஻=2f(x)=-——Inx/(x)=.nG+2,/(2)=_L2ᑖxln-xIn2R஻2)=0ᡠᑗ&'"y=—¥(x-2)2ᑖIn2(2)1°0Vxoa>x-y[xInxInxg(x)=x-4x

112x,g(x)=^^~~2jx¨©ᐭ)=24—2—Inx,l(x)=4—‘=¬Cl<0y/xXX0/z(l)=0,.♦*'(%)=¯>0,ᡠg(x)ᙠ(0,1)⌴g(x)llnx>0,ᑣ^—ߟ>y[x<=>a

113ᵫ1஺µX>1/(·)>0,஻(x)ᙠ(1,+8)⌴g'3ᗸ>°x>1h(x)>6(1)=0ᡠg(X)ᙠ(l,+oo)⌴,g(X)ுgপ=1/.a<1p.................5ᑖᵫ1°º2°fma=l................1ᑖ78ஹem(I)»⚪µm/s½ᦪ/(x)=lnxᙠ(1,0)ᜐḄᑗᦑᐸ᳛k=/(1)=m=1ᡠ/Ḅ&'"y=x-ly=ii9R"/Âg(x)ḄÃÄÅᑗᡠᵫ<1,7=>-X2+(/M-1)X+-=0I22fÆ=(GI)²G9=0>=2(஻b=4ᔠ⚪ÈÉ)(II)"//(%)=/(x+l)-g(x)=ln(x+l)-x+2(x>-1),ᡠ1—Y"(X)=-----1=——x+lX+1-l0;x>0h*(x)<0,/i(x)ᙠ(-1,0)ᓫ⌴ᙠ(0,+8)ᓫ⌴஺ᑍ=0᜜Ífᨬᜧ0)=2h—a(III)0<஺(஺G1<——<0,ᵫsµGl

1143k=tana=±—3ᑖ4(2)஺(#,y0),4(11â)B(x,y)22V2-Ayᵫf஺2-4y+4k=0,1ᑖy=k(x+1)kHO✌ᐜᵫäfG1ீÎ<1kZHO16—16A2>0&GᨴᐜGᨴ44-----=-2----r=------ᔣᳮKQH=..................2ᑖx஺—ë1jo_Jiᐜ+íy()+"4-444ᵫQA_LQBf----------------=-11.................2ᑖï+âᐜ+"2ᓽ:y+%(%+")+஺2=-16024yH—y+20=0,................2ᑖ00kA=(^)2-80>0,fGkkwO,ᵫG1

115஽-L4|@=◍+▢=>+1+D+1=4+7ಗ=2,FM0=2GC|,ᑣ4+5-4*HI,JKL,ᙠ஺8ᑖ()mḄ*᳛L,ᙠK,ᑣভ=4ಗ=2,OᯠQ=2RᡂTᦑ,ᙠ)mUV01=2G஺|ᡂT.JK)m:W=1•.....9ᑖঝ()Ḅ*᳛,ᙠKᵫজZe0=Q4[t)["1)=஽,X?=1m()mḄ*᳛L,ᙠK|^|.|CD|=(Z)F|-1)=(2-1)(2-1)=1.

116]ὃ_ᫀ81Iপᵫ⚪dea=l,b=0,:.fx=x2+2x..........2'2fᦪy=fxhi$Ḅjd"Q%,%ᐵlmḄnoPx,y,ᑣ/=-qy°=-y4ᑖs஺tᑭ.ᙠvḄhwxy-y=x2-2x,y=-x2+x,.,.g(x)=-x2+2x.......7'ফF(x)=—x2+2x—4(x?+2x)=—(l+4)x~+20—Z)x•••F(x)ᙠ(-z{|f}~,"'(x)=—2(l+4)x+2(l——)20ឤᡂT……9ᑖI_x-2ᓽ24="1ᙠt-ᡂT...............10ᑖ1+X1+Xᵫ"2--1ᙠ-1,1]$fᦪ,.............12ᑖ1+X(X=1Kᨬ0,.....................13ᑖᦑ4V0,ᡠḄ-80]...........14,I•.•Fxᙠ||fᦪ,tv=-2-2lx+2-24ᙠ(-2-2Z)+(2-2A)>0I440(-2-22)(-1)+(2-22)>082(1)ᵫeg—4=—2,%—=—14d="1_(-2)=1.........1ᑖa-=(%"%)+(஻-1)x1=஻-3.........2ᑖn+[/.*=஺]+(g-Q])+(஻3—)■*----h(*-an-\)=6+(—2)+(—1)+0++(஻-4)[(-2)+(n-4)](n-1)_«2-7/z+18o+-------------------------=---------------4ᑖ22

117ᵫe81-2=4,%—2=25ᑖᡠ46ᑖ•d=2+8x]£|...........7ᑖ(2)2f(k)=a-b2+8xkkᡠ(&24K/(%)|fᦪ஺.....10ᑖ¢ᡠ(£22K/¤)2..........12ᑖ¢প=/(2)=/(3)=0,...........13ᑖᡠL,ᙠ&,U.....14ᑖ83.¥⚪ὃ¦§ᦪᑡ©⚗0«n⚗¬ᐵ®ᦪᑡ0L§¯°±ᔠḄᨵᐵ´⚪஺Iµ:(1)·@Ka„=S-S_..............(1ᑖ)nn}2s12.ম-S,i)(2s“-1)=25¸“-15„--5„=25„S„_..................(3ᑖ)1I--------------=2(/1>2),......................(5ᑖ)S"S’ºᦪᑡx_LyJ_=l✌⚗24Ḅ§ᦪᑡ஺(6ᑖ)SnS](2)ᵫ(1)e—=1+(஻-1)x2=2”—1,S——--,S,,=--—............S2n-

118+'2/7+1n(7ᑖ)(l+S,)(l+S)-(l+5„)-(஻+1)(1+5,)¼½=2J2஻+1F(n)j2n+3

1192஻+24/r+8஻+4,,¸¸ஹ,--------------J—À--------->1........t10ᑖvJt2஻+1vt2”+3vV4n2+8/1+3/t஻vᙠ஻eN*$⌴|⌕UEt஻vNᦇឤᡂTË◤[t஻ᨴmm2qV[Ftnv]=Ftlv=173,A0

120MNಘPegS,ᑣ“(4)=(4+4+2X=1%4=*./I53AAAᵫZᡠ\“(4)<()..•.஺($_`abḄcdᦪ,f“(4)4g,BP—<^(2)

121x.x12%%xy=---+—/=2ylᨴᵫ;PḄᙶ᪗஺0ᡭX9X1•*2-y=----——F——y஺=2y2%|@,[/+2=AX+2/X]+2/+2ᵫ<2------=-----=/ᨴ%%=2%lb'i+%=@@x_2^212==-1°4$fsᑖ_x-x,_12>0ߟ"Z——"I2$r2kABB11oBᵫ1/—2<——<3y/2,Al

122noPᙠ&'x=-1bPḄᙶ᪗Ḅpqs_t1,—y••…(12ᑖ)285.¤¥⚪ὃ¨ᑭᵨ«ᦪẆdᦪḄᓫ¯`a\°ᵨ«ᦪḄ|x±²|}᪷Ḅ³´஺;(1)dᦪ/(x)Ḅµ¶_(—2,0)஺(0,+8).·“X)¸«r(x)=W=(X+D(x3).......(2ᑖ)XᓝHXx2(x+-)223ᵫf'M>0,%3cx<—1ᡈ%>3ᵫ/'(x)v0,%1<¿<0ᡈ0m=Inx-'x.222ᡠ\ÃᦪmḄpqsÄ_dᦪ஺(x)=lnx-;xḄq¶........(6ᑖ)·0(X)¸«“(X).x2M“*)=0,x=2,Çxு2É“@)<0;Ç0<<2É,“(x)>0.•.Çm2É஺(x)pᨬᜧq,஺(x)max=0(2)=ln2-LÇxÎ▲ÐÑZ0ÉInxÎ▲ÐÑZ-8,-‘XÎ▲ÐÑZ0,2Óᨵ0(x)=lnx-gxÎ▲ÐÑZ%8.nodᦪ0(x)=lnx-ீxḄq¶_(-co,In2-1yᓽÃᦪmḄpqs_Joo,In2—1y...........(9ᑖ)t;xHy:4ᕈg(x)=x+mᨵÃᦪ᪷×ØZ&'g(x)=+mvÙ'y=lru,ᨵAᐳÇ&'g(x)=gx+mvÙ'y=hu,ÝᑗÉmpᨬᜧq.……(6ᑖ)&'y=gx+fvÙ'y=lnxÝᑗᑗT(ᐗ0,%)•ᑣ·y=Ex¸«

1232x஺1᪷Ýᑗᐵâᡭã"஺å;X1y=2xo+z0x=2,y=In2,Óf=In2-1.00ᡠ\mḄᨬᜧq_ln2—1஺᧕/ÇmWln2—1É&'y=+mvÙ'y=kuéᨵAᐳ஺noÃᦪmḄpqêᔠ_(—oo,In2-1]............(9ᑖ)(3)í²îï᪵Ḅñᦪkòóᙠ஺............(10ᑖ)ô☢öᵨ÷øxᩭøúîᎷóᙠñᦪk,üᐵZxḄ|}/(x)=*g(x)ᨵýòÝ×ḄÃᦪ᪷þEÿᑣ32In஺]+—)+—=:AIn*,জ1(X1)=(X1)2X]<=<...(11ᑖ)[f(x)=kg(x)3?22=k

124x.ঝln(%2+7)■1---22x2᪷!ᦪ#ᦪ$%&'()஽+,-ᦪ஺32.ᵫ(1)0'1x>05/(x)=/(x)=ln(3+—)+^>0min3232**•fCxi)-In(:]+—)+-----,/(%2)=;/+7)--->஺2x,>02x2<ᵫk>0,0>g(X1)=Inx>0,g(x)=Inx>0=>/>l,x>1.1222ᵫ@A2,ᡠCDEFᵫজ)ঝ0>3232HI+—)H—ln(x+K)+L22⚗2x2InxInxx23232ln(Xj4—)4----InXjln(%2+—)-----Inx?ᑭᵨRSឋU>-----------V-------=------------&-------InxInx}23232ln(l+—)+—ln(l+—)+—$2%ix.2Xஹஹᓽ--------i-----L=--------7|----^.(*).......(13ᑖ)InxInx}2

125Inxᵫ@InX,IZ[l,+8]^Ḅឤ-a#ᦪb1cdce2f——Lc1.-Inx232.ᵫ@ln[l+L]+—,IZ[1,+8]^Ḅឤ-g#ᦪb1c(c12••f2xx32In[l+—+—23i32ln[l+——]+——2XX223232ln(l+—)+-ln(l4---)+ln(l+---)+——.InXj2ᓛ2ᓛ,2X2X2•.wx[*]yzM/i(i3Inx}Inx2n+2X2X2{஺|}~ᩩḄ-ᦪkDᙠ••(14ᑖ)86ஹ(I)Flm/no(x=6+4,pᐭ/=2px>/L23y—8P=0FP[X]M],Q[X2y2]ᑣᨵ+=2ᑗ(2=L8஻=0,ᦑ0=x/2+(=[+4]2+4]-8P=&2yly2+□+y]+16-8p2ᓽ0=-8&2p+8k2p+i6-8p,mp=2,ᯖ[1,0].[H]FR[x,y],ᵫ+=>[iL1,%]+[4-1(]=5-1,]0ᡠCX]+4=%+1%+(=y=4<,4=4A2,0>e[L(]=3+%]3-]=4IL%].RḄᙶ᪗(M[■,]],22y1X]H5ᑭᵨkpQ=kMAᨵ3=———2_y□L1L4᦮ᳮ>2=4x-28.y1ᓛ=/5RḄᙶ᪗([7,0],H~y2=4X—28.ᡠCJ?=4%L28ᓽ(RḄ¡no.

12687ஹ¢᪆¤(1)ᵫ⚪¦0'a—c=J5—1bª=J5,¢>°=V5/=c=l.♦.ᙊḄno(¯+d=1±2.(2)ᵫ(1)>/(1,0),ᡠC04²41.ᎷFᙠ~⚪¦Ḅlm/,F/Ḅno(y=k(x-l)pᐭஹ+y2=i>(2᝕2+1)/-4µ¶+2µ-2=0,9FA஺[ᨴ),B(X(Aᑣx+x=~^—^x=¹fজH+=Mx1+X-2)=[º212222k2+1I22ki+]2k-+1———4k2-2kCA+CB=(X|-m,)+(x-m,y)=(2.0]-2m,2m+J22v(CA+CB)1½ABḄnᔣᔣ¿(a*),±-4f_2m+J“—x%=0=[1—2mMk?=m1°[Á[:5Z=VஹÃ,ᓽ2k2-]2k?+12Vl-2/nᙠw᪵Ḅlm/±1Å4m<15/DᙠᓽDᙠw᪵Ḅlm/22288ஹ¢¤[1]⚪¦Fᙊno(f+f=l[a>b>0],ᑣᐸÈᯖᙶ᪗(a2b2FLc,0M,c=yla2-b2,........1ᑖᵫlbBI=2,>J[c-Ê2+[[]_Ê2=2,ᓽ[c—J^f+2=4,¢>c=2j^஺........3ᑖ22xy..'Cb=2,C.a02=c2+b02=n,ᓽᙊno(Ì+Í=1஺……4ᑖ[2]ᵫIAM1=1ANI'AᙠmÐMNḄᚖlÒᑖm^y=kx-2ᵫ/ÓÔy>/+3[Õ—2Ö=12[124ᓽ[1+3/]/—12h=0[*].......6ᑖᵫZwO,>no[*]ḄÚ=[—124]2=144/>0,ᓽno[*]ᨵÛÜDÝÞḄßᦪ᪷஺.......7ᑖF஻[d]ஹNX,yM,mÐMNḄ[%,:]22

12712kx.+x-,6kàXi+X)=Z-9.•%()=±T21+3µ°21+3µ6k2-2(1+3-2ᓽߟá=âL29ᑖ1+3%21+3µ17^-2_2-2(1+3µ).•.lmAPḄå᳛(k10ᑖ6k6kl+3k2ᵫߟ>-20+ç—L11ᑖV32+2+6k~=6,¢>¤k=±----,ᓽtana=±—,……12ᑖ33TC,ஹ5.0VacᦑafLᡈ஺=»6671a54ᙠlm/~⚪¦,ᐸìåía——fᡈ(X—஺......….13ᑖ6689ஹ¢:[I]ᨵSx+S*᧕>(H)ᵫa*+i+%=4n+2>%+i—(2%+2)=—(a*—2n)1)K(tXj-2).%=2ᡠCa*=2n90ஹ¢¤[I]ᵫð'>q=4,4=2a,.஺ò+஺3=2஺2,(a—1)+2a=8,ᓽa=3.[2ᑖ]q=2,µód—a—a—2.2tᵫ&=ô+"(Í஺,>[4ᑖ]k(k—1)2k+———-x2=25502ᓽ/+%—2550=0.¢>^=50ᡈ%=—51(öÔ).a=3,k=50.[6ᑖ]

128IIbᵫ5“=÷%+Dd,>2S=2n+ߟߟ—x2=n2+n..........................................8ᑖ]2S+.b=—=n+1....................[9ᑖ]nn,øùú,Þóᦪᑡ.ᑣ4+ᓃ7+4]+.+Z?_1=3+1+7+1+11+1+…+4஻—1+14w4+4஻]஻ý=-......পᑖ]2/.by+h-j4~Z?jτ+...+b4n_[=2fl-+2n................................12ᑖ]ὃᫀ91.¢¤1ÿa=b=l/প=02ᑖ+1/2b/1b=/2x—ᔩ5ᑖf;2-"=/2-12=2Tf;2'-n+2/2-1,22"f;2.-n=2"-'.0=22-",+.b=b_-2-'nnx9ᑖ,ᦪᑡ“d=—g=2/=Ḅᦪᑡ12ᑖbn=b\+«-1b•"•b=----14ᑖ஻292.1ᐙᑖឋ஺2+r=0.•.a=b=0.

129/(x)=%|x|!"ḄxeR#ᨵ/(-x)+/(x)=O.♦f(x)%᜻'ᦪ(ᦑᐙᑖឋᡂ+.2ᑖ,⌕ឋf(x)%᜻'ᦪᑣ!"Ḅxe/?#ᨵ/(-x)+/(x)=0ឤᡂ+(ᓽ-x|-x-a\+b+x\x-«|+Z?=0x=0,b=0x=a(a=0oAa2+h2=06ᑖ(2)ᵫ6<22-3<0,4x=05஺6!"7ᦪ89ឤᡂ+40⌴@((a>gmax(x)=g(l)=l+b10ᑖX,ᑣAX)ᙠ(0,"]<ᓫ>⌴B([JR,+8)ᓫ>⌴@104bV-15/?(1)=x-2ᙠOVxWl<ᓫ>⌴BXaa2x2+(a-3)x-3a>0»•.(.—3)(x+a)>0Mw[l,2]ឤᡂ+(M|—3<0ឤᡂ+(x+avOxw[l,2]ឤᡂ+(.N஺0,g(4)⌴@d4QE[0,2]5(g(஻)vO,g(a)⌴B;

1304஺5(g(஻)>O,g(a)⌴@,...g(a)ᙠn-1,3q<Ḅᨬst%min{g(-l),g(2)}=min{15,15)=15(3)H(a)=--g((4C2P=CC(3/C9"),᝞«G(0,l)o63iH,(a)=3a--a2=3Q(1——a)>022ᙠ(0,1)%⌴@'ᦪ3=஻&)=-343C942)...H(a)G(H(0),஻প)=(0,1),vGaG(0,1)=>«G(0,1)=>-Z•n£(()/)=♦••A2T7_133214+1_a„=-5%+2,a"~~an=~~an(an~2)(஺“C1)<0(/.஺ᔣ0,b>0).a~oa2+b2=1,a2=1--«13©2ᵫCḄE<(ᯖ¡c=lᨵ:r4a24b2(b2=—I2r2vᡠEḄST%-^--4—=1.,V3&1---------22(2)iMdA|(-c,0),B(0,c),ᵫOH=(3+20)«:77(0,—c),C(-c,—c),2a2+b-=c2জX22=1(஺>0/>0),d.L223bEḄST%ab-JC¹=1ঝ14a24b-জᐭঝ(ᓄ±᦮ᳮ3/+6a2b2-b4=0,.-.(-)4-6(-)2-3=0aa(³2=3+2´.ae?===1+(³=4+2jld.e=)4+2´=J5+1,ᓽEḄ»¼»aa

131³C½ᐵḄ¿ᦪ஺3ÀᎷbÂᙠ7ᦪ4,ÃÄ=4Ḅឤᡂ+(A-c,OÀ,C|,ᵞÀᨵc.V3C+-•422TT^—(ÆNT7V1+41+2.F(C.-2)'''12(1+2)52(1+2)#ᙠE<(ᦑᨵ2("2É3c2224/(1+4)24/(1+2)2r)2A.Ê23cËce"-4ᵫঞ----=4=>——=-----ঠb2h23ঠᐭটeG2,_2_•_£_1,ᓄ±᦮ᳮC&2+e?=2Î+1(e4)=4(1+A)-4(1+2)~ᓽÐ=ÑÒ,ᑭᵨ2Às⚪ḄÖ×Ø=ÙÚ=11+e-+26+2V34I+3—.——.ᦑÂᙠ7ᦪÎ=ÃA/=Î/஺ឤᡂ+.95.1À/஺À=஺/+2᱐+gᵫ⚪"ÜcᦪḄÝÞ"ß/lÀ=஻+2/?+c=0জf(/n)=am2+2bm+c=C஻ঝàa<஺0ihᵫজc=-a-2/?,ᐭa0,(24+2(-)>0,C<—2,ᡈçNOটaaaaᵫঞஹট042<1a(2)ᵫ/(x)=ax2+2bx+cḄᑨå9ë=4b2-4QC>0

132STf(x)=a/+2bx+c=0(*)ᨵUî87᪷(b%xi(X2,ᵫ/(l)=a+2b+c=0(/=1%ST(*)ḄCî7᪷(ᑣᵫ᪷³ïᦪḄᐵïâ+ð2=———/,=------1<0xi5(/(x)<0,4ᑍ2Vx<%5ó(x)>0ᦑ'ᦪf(X)Ḅ⌴@ô%nX2(X1q,ᵫ⚪bnX2(Xjq=ns,tq,2bb÷øIs-t1=1X,-x1=2+—(ᵫ(1)04C<1Is-tIḄ6tú%n2,4)2aa(3)ᵫ/(x)+஻<0,ᓽox?+2bx+a+c<0ᓽ஻/+2bx—2/?<0÷øa<0,/+”C᝕>o,᦮ᳮQX-2)<+x?>0xaabg(2)=(2x-2).2+/,áýþᐵÿ2Ḅᦪᵫ⚪aaag(-)>0042<1ឤᡂᦑ(gপ-°ᓽ2+2x-220X4_#ᡈxwQ_1aa#g(0)>0x2>0ᵫ⚪',+8)a(-00-V3-1)3-1,+8),ᦑ᝕261,01kḄᨬ456--196.(1)V/(-l)=0,C.b=a+l,ᵫ/(x)20ឤᡂ<=>-4a=(a+l)2-4a=(a-1?<0,22f(x+l)(x>0).'.a=l,AB/(x)=x?+2x+1,.,.D(x)=E#—(x+1)'(x<0)(2)ᵫ(1)2,O4-2ᡈk26.22(3)=/(x)KᏔᦪQ./(-x)=/(x)Ba>0,.1/(x)ᙠ#0,+8)6RᦪF(x),Sx>0Tx<0,"-V=-/(-x)=-/(x)=-F(x),Sx<0T-x>0,F(-x)=/(-x)=f(x)=-F(x),...D(x)K᜻ᦪ,YD(x)Kᙠ#0,+o஺)J6RᦪSmnvO,mஹnab,পm>0,n<0Tᵫc>-n>0F(-n)=-F(n)F(m)+F(n)>0.

133(஻)S஻?<0,n>0Tᵫ஻ு-m>0F(-m)=-F(/n)F(m)+F(n)>0.gJh0.97ஹj=(1)kPlᙶ᪗6(x,y))ᑣ":=---,ᓄr(x+3)~+y~=8,7(x-l)2+y22ᡠtuvCḄwx6(x+3)?+y2=8(2)uvCKt(-3,0)6ᙊz2{6|}ḄᙊuvC'~K|}62ஹᔊḄᙊl(-3,0)ᐵvy=xḄlḄᙶ᪗6(0,—3),ᡠtuvC'Ḅwx6x2+஺+3D=8,IO-(-3)+m-3l_1mlᙊḄᙊz(0,-3)ᑮvy=x+m-3Ḅd6d712+(-1)2V2SAABO=xdxIAB1=gXdX2^8-d?=J(8-x~~=S=1,ᡈ“=7,ᡠtm=±J5,ᡈ஻=±V14o2298.পj=k«„|=2a„-n2+3nhᓄ6*+1+2("+1D+஻(஻+1)=2(%+6J?+஻”)+ᓽan+\=2Q஻+An2+(஻-22)n-2-//.........................................(2ᑖ)A=-12__iᦑ22=3j<.........................................(4ᑖ),..Al஻=la=2a-n2+3஻hᓄ6஺(஻+1)2+(n+l)=2(a-n2+n)..........(5ᑖ)n+lnnXa,-I2+1^0..................................................................................................(6ᑖ)ᦑᙠ;1=-1,஻=1ᦪᑡ",+2+஻Kᦪᑡ..........(7ᑖ)ফ:ᵫপa„-n2+n=(a-l2+l)-2n-1Aa=2n-l+n2-n,1n..,11ᦑb”=----------------=—(8ᑖ)a+n-2/,_,n2n14422——-----v------------------------------(9ᑖ)n24n24n2-12n-12n+l22nN2thj",S=4+%+/+,■+b”<1++•••+()n2/i—12/i+1

134,225=1+--------------<-11ᑖ32஻+13S„>.........-.........(n>2).(”+1)(2஻+1)S,,=*+%=1+Q==,6஻12454S஻=2TB—>—(n+l)(2n+l)~3^5-545ᦑ஻=2T¡ᡂ12ᑖS஻23Tᵫ=஻=4->/].ஹ=[-------Wnn(n+1)nn4-1S஻=£+%+%+…+¦>(11)+(ீQ)+(Q—Q)+~+(¨—]ߟ)22334nn+l=1=---,Yᵫ2஻+1>61>---,஻+1஻+12஻+1S”>—>-------------------14ᑖn+1(஻+l)(2n+1)99ஹj=(I)ª⚪a=9c,+10=1002ᦑ”=10a\S஻22Ta„=9S„+10+1—জ-ঝ=~=10%ᦑa6ᦪᑡY%==10"(஻wN*),n.♦.1g%=஻/.lga-lga„=(n+l)-n=lfl+1ᓽlga஻Kᦪᑡ(II)ᵫ(I)<T—3(------1--------FAH------------)“1-22-3஻(஻+1)11)=3-^-3(1--+---+A+223nn+1n+1III•••7=3——"n+\3.♦.S஻=1T7Q®ᨬ45/31,ª⚪ᨵு°"-5"?24j-1j=(I)ᵫ¶

1354+(஻+Da„+n«„i-T+%%#"“T22=—2__1=b.4+2#%+iT4+1-4#1anl-a“l2+.":iߟ'3F✌⚗,i,F<Ḅ;<ᦪᑡ.23*13111ᵫI(b=;x----x—,n422",31,31•••4,+|_4"_1=_**,a-a-1=-2><2,2]31,31fl3-C!2_1=--X^2»=2^*i2ᔜQ-(1--,3-+(n-l)--(l--L)=—+n-2an=«1+«-1--222'i2"3ஹ4=-+n-2.(Ill)#Nᙠl=2,Pᦪᑡ4:;Rᦪᑡ.nS“=q+%+…+%=3(5+?+…+5)+(1+2+…+”)#2"1(I_x)2ஹ2"τ"5+Dc.1ஹ,2-3஻3n2-3n.3x-2n=3(1-----)+---------=------+----------+3.22"22"24“W3133T=b\+b+---+b=---------=)H------n2n22.+1l-2.LL2ᦪᑡᓋº:;RᦪᑡḄᐙ⌕ᩩ:4=A஻+8,AஹB:¡ᦪ¢nnᓽS+AT^An2+Bn,nn33n2-3஻A.,,1ஹ¤S.+/L7+3+4(—+#)---+3(1--)(1--)2"222"M222"2cτ2T.•.c¥¦c1##=0,ᓽ2=2dᦪᑡ""F;Rᦪᑡ.2n:

136NᙠX=2,Pᦪᑡ4+%:;Rᦪᑡ.nᵫ°Iஹ°II(ᵞ“+22"=஻-2Q.S஻“+2T=X”2¢-2"஻¨+1S,,+U,~~#2஻—2ᓅ+ª_஻3,”2Tnn2n"_2°i_J_4133133¤7Q=4+A+…+%=•~^-=--°1—=--+“12n122"22ᔣ1—2Sn+஻-3+¬#23n2n22,,+,.•.c¥¦c/I=2dᦪᑡ®¯:;Rᦪᑡ.n

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