百例高考数学压轴题精解

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13®¯{ᑡ°⚪V(1)TUᦪᑡ4-4l²ᦪᑡ((II)³ᦪᑡ஻(4-஺஻)Ḅ஻⚗25஻4*89¬஺>14lim—^=O,$limS஻.(III)஻(஻22)lyz·>4—-->"Ḅᨬᜧ᦮ᦪ4ᵨ¸,஽⊤º஻yzḄᩩ.63.89ᦪ/(x)=Inx+—+xG(0,4-00)(a2»ᦪ).X(1)¬2=஺4$/(X)Ḅᨬ01((2)*/(x)ᙠ[2,+8).lᓫ¿ᦪ4$aḄ1¡((3)vᔜ⚗2nḄᦪᑡX"yzlnx,,+—ÀTUVx„^l(neN*).%64.vᦪ/(x)=x3+ax2+bx(x>0)ḄGÂÃy=4ÅᑗÇ"(1,4).(I)$/(È)=/+62+ÉᙠFÊ(o,4].Ḅᨬᜧ1Gᨬ01((II)lᔲÎᙠ}~Ïnᦪs,7(s89/(x)=x?+ox+஺(a42,xeA),g(x)=,জ(x)=/(x)•g(x).(1)¬a=l4$জ(x)Ḅᓫ¿FÊ((2)$g(x)ᙠW(0,1)ᜐḄᑗÃGÂÃx=1ñòÃg(x)ᡠ¡ᡂḄóôoḄ☢õ(

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38ঞÌp<0Å9k(x)=px2—2x+pÍÎÏᔣÖḄÑᱥm9ᐸØÓ`,Ù(0,+8),P¿◤@(0)W0,ᓽpWOÅÆ(O)W(0,+8)ឤᡂÄ.Ag'(x)<0,.,-g(r)ᙠ(0,+8)ᓫ¼⌴É9--.pvO〉ᔠ⚪7.Úজঝঞ¥9p21ᡈpWO.....................................................9ᑖ(III)ÛÜTজᓽÛTInx—x+lW0(x>0),11—xwk(x)=Inx-x4-1,ᑣ'(x)=-----1=-------.xxÌxw(0,1)Å9z,a)>o,.,-᫥)ᓫ¼⌴Ô½ᦪHÌ(1,8)Å,M(x)v0,-••᫥)ᓫ¼⌴ɽᦪ;**.x=lk(x)Ḅ᩽ᜧ´s9/1<(á)<1<(1)=0.ᓽInx-x+IWO,AInx^x_1..............................................11ᑖঝᵫজJInxWx—1,cx>0,Inxx-1.1/.——<------=1——XXXInz?2'dnGN*,nN2Å9v=%£,-<11--2,rTnInn1â1ஹ-ãIn2In3^<1(1—1+1-4+.--+1--4)—;—I----+-F…+22232222’232n2=g[(஻T)](J+1…+g]<)[(஻T)-(,111------1-----------F…+)]n22x33x4஻(஻+1)j[”1—1,)]=;[஻_1_(112/-n-\)]22334n4+12஻+l4(஻+1)JäåᡂÄ...........................................................14ᑖa—125.iT(I):S1=——+.%=0,aÌ஻22Å9a^S„-S_=-^--a„-^-a_nnxnxa-1a-\'=a,ᓽFa“G-æ²ᦪᑡ.J.a^a-a-'=a\......................4ᑖ%(H)ᵫ(I)J9b„^—^------+]=(3"!W2g,êNëæ²ᦪᑡ9aa(<7-l)2□9[+>2,,-7T-1ri3a+2,3a+2a+2ᑣᨵ=᝛9~í=3N=-----N=------2-------haaᦑî22=3.3ï+ᵭt2,i0=_L,Xq=_Lᐭa=3"ᡂÄ9ᡠa=L.aa2333

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\FB\_x+3_\y\22᳝+3|ã|'ᡠN8,F,Cå]ᐳᓽ=4~...........................10ᑖ(HI)ᵫ⚪S=^\MF\\y\+^\MF\\y\=11A/F|•|^+y1=||^(x,+ì)+6%]]22=ᧅ=_3——¯ᧅ=ïÂ=J..ᡂgMk+3º2623óᡠNbMBC☢õSḄᨬᜧd.ᙶ.30ஹUVØDRÀØ1,1ÙᐭᱥCḄyxᱥCḄ.÷=,ᓽ/=§ᯖ]ᙶ᪗.ÀØ0,--Ù............................4ᑖ4ØIIÙwÀ/Ḅ.y+l=%Øx—lÙ,+1=ᓃØx1Ù,.ὶg02úûy+rüߟᓰ1=0,y=-x.ᑣ1•⚗=—k—1,ᓽX]=-k—1.x1

44ᵫj=*u4(—ᓃ-1)=(ᓃ+2)2ு0,xkW—2.............7ᑖzᳮ|}PBḄy+l=k(x-1),2(y+1=«2(x-l),ὶ4,yxu+—/—1=0,=-".ᑣ1•Xj———0-1,ᓽX?=—2—L-ELk2H—2.,:h+k—0,.,.kR2.....................9ᑖ2xMḄᙶ᪗(x,y),ᵫBM=MA,ᑣx=*+%.—k.—l—k—1-2-(k,+k)x-----------------2-----=------------------2-.22kஹ+k=0,/.x=—1..................................11ᑖ2+8-X\~X2__1)2_(__2_1)2u(uu1)2_6_1)2V=-------=----------=----------------------=----------------------2222=-(6+1)4-1,w±2,.\y஺-5.---ᡠ஻Ḅ*u1(u1ᨴ)஺u5).31.*(I)f\x)=ox24-2bx+c,⚪ᦪḄ¡¢£xf,(l)=a+2b+c=0(1)1fr(m)=am2+2hm+c=-a(2)............2ᑖf5La0,......3ᑖᵫ(1)c=-a-2b,§ᐭa<©04

45567/z(x)=ax2+2bx+c=0(*)ᨵ;<=>?᪷4AB᳝,D?4Eᵫ/'প=a+2b+c=054%=1B67(*)ḄKx2=---l0.ᦑZᦪḄ⌴\]^BX4Xே4ᵫ⚪A5a24xJ=Sdef|s-f|=|j-/|=2+k4ᵫ(I)50l2<1Q/K”ḄnoqB[2,4)2…12ᑖaa(III)ᵫ/'(x)+a<0,B|Jax2+2bx+<7+c<0,B[Jax2+2bx-2b<0,eBo<0,ᑣX2+2-&X-2-2>0,᦮ᳮQ(2X-24+X2>0,aaaAg(-)=(2x-2)-+x\xyz{|ᐵ}2ḄK~Zᦪ4aaaᵫ⚪gA>o}ow20,[x2>0,ᵫ⚪4[A:,-Ko)c(ߟoo,—>/3—1]U[A/3—1,+࠷),ᦑ4—1,ef᝕ḄᨬdoB-1...............16ᑖ32.(d⚪ᑖ12ᑖ)(1)⚪4&Ḅno|0,1,6,8.33.(d⚪ᑖ14ᑖ)প'dc2=a2-b2>c2=4m2.……2ᑖE:•=0:.PFJPF?,.......3ᑖd.\PFf+\PFf=(2c)2=16w2.5ᑖ2

46ᵫᙊx5ᵨ+|x|=2"=2¢4£|¤¥+¦§2=]6¨2+8=24©4-“6ᑖ«¬Q2=1/02=4®2=4/c=2.¯6(-2,0)ஹF(2,0)................7ᑖ2(2)*F|(-2,0),F(2,0),2ᵫ±5*²6|=³|஺ᑴ4ᓽ|஺/·=2¸¹2,ᡠyᨵ*I஺ᱏ|2=2(|M·-1),AP(X,y),…9ᑖᑣ(x+2)+y2—2-2)'+y2—1/…12ᑖᓽ(x—6)2+J?=32(ᡈx2+j?—i2x+4=0)¼y,½R(x,¾¿ᡠÀ4ᡠÁÂÃ67B(x—6)2+J?=32.…14ᑖ¯”KÄஹo34.(d⚪ᑖ14ᑖ)--------------:(1)ᵫ3n+i=an+6an-i/a+i+2a=3(a+2a-i)(n>2)nnnn•fl]——5f--a2+2a]^15ᦑᦪÅiJ{an+1+2an}|y15B✌⚗43BÈÉḄ>Éᦪᑡ........5ᑖ(2)ᵫ(1)Qan+i+2an=5-3”ᵫËNᦪÌxQ(Í+i—3/1)=-2(a„-3n)ᓽan_3n=2(_2)n_lᦑan=3n+2(—2)nT=3"_(_2)n...........9ᑖ2(3)ᵫ3h=n(3n_an)=n[3n_3n+(_2)n]=n(_2)n,/.b=n(-j)nn222?ÎS=|b11+|b|+...+|b|=J+2(j)2+3(2)3+.••+n(j)nn2n|s=(|)2+2(|)3+...+(n-l)(|)n+n(|)n+1........11ᑖn22nQH=Ð+++Ñ+…+Ò—ngÓ=30?=(|Ó=2[l-(1)n]-n(1)n+,1-322S=6[l-(3)n]-3n(3)n+'<6n⌕ÕQ|b||+|b2|+...+|bn|Ûᡂ,e0,y]ᦑ஻ḄnoqB4...........5ᑖe2gÌK£Zᦪ̧£---X|ge-------D2g=-------+᳝D2-----!-------᳝xX,xxX222

471X++X+k2-\\k2-\\ஹ=X|%2---------—x^2------F2=஻-------F2...6ᑖ3n2XjX2ußk2ᵫ0<஻<—,kN1,ÞK120,+2ᙠ£0,ஹá¿|\Zᦪ,7ᑖu4ீᓃk2-1*/42kஹ2ᡠy(---᳝)(----x)-u--——1+2+2=å-2+æ=(ᔆ/2KåKX%u4z1ஹ/1..,k22ᓽSè21W=>é£KK᳝§£KK஽§ë£áKD§ᡂ.9ᑖ̯£=>éìíḄ{îÉï̧(--X|)(--^2)-(^-7)21X,X)—+2---FX^2-------%)x2kk242ñ2ò2᳝LT-ôñ2)-(D+T-2)k2-4xxk1-4X,X(%j-x)2(222XXK4xxk2xx4x22}12õö2K4÷%2=£øKD2§2ùᐭQ(X1K0)?(4—k*X]X?—4k2)6ᑖ4k2xxt2(%)—%)^-0;ü21W4—k~X[X2~4K=4(1—k~)—k"<0,2-—.(%1—x)"(4k~xix4A^")22<0,4k2xx}2ᓽSþ21W=>é£DK᳝§£½-KD2§4,k2ஹ2£5KD§ᡂ9ᑖ£3§ÌK£Zᦪ̧I->”3ck2஻+½>+2=/(”)4ᑣ(ᓰ)2=/(1),u2k2ᓽ/w/9ue0,yឤᡂḄḄ........10ᑖᵫ2!j-X|•'(2)'|'+2,-.,(2€஺ឤᡂ1ᨵ0ீ451,671—2>0,

481ߟ"2--------:ᦪ/“=u+-----+2ᙠ0,41-42B⌴D,ᙠE1'஺+8B⌴G,......12ᑖU“24,2-----⌕:ᦪ/஻ᙠ0,JBឤᨵ஻“2/J1ᨵKwjl—2,ᓽ4+162—16W0,444OP஺Q-8..........14ᑖORJ.STUVḄWXYZR,r/11ஹ,k2x,-X,24-^2X,X-4^2ᵫ2[''x,——x----2=_~'_2-----L,2Xx2kAkxx2y2⌕.STឤᡂ1a4-b᳝஽'4bNOឤᡂ........10ᑖ4'4ுᓽhijJkឤᡂ........11ᑖKJ2/2A4,2ᵫ0<%஽jnPo-W”Jᓽ4+162—16=0,13ᑖ1244k2OP05b44Q-8.67.STd~'%’-'஽)5-£2ឤᡂḄ42Ḅv05b5475-8.14ᑖ36ஹOy1z{ᙊḄᯖ~2c,6B=⌭ᡠᨵa2-b22ᦑᨵ/=3/஺{ᙊ2-a3a3CḄ[ᓄyx2+3y2=362জ,2ᑖ᧕ᯖᔆḄᙶ᪗ஹᔊ6,0,⚪-ᨵᡠᙠḄyy=x-41bঝ,3ᑖᵫজঝᨵy4x2—6+3/=0ঞzNx”,6£/2ḄNxoy஺ᵫঞ¡¢ᳮᨵ:X1+ᑐ2_3y/2bX஺-41b--^^h.*0%244ᡠ[K°Nᓽᡠ஺■5ᑖ32§ᯠCMª஺8[W«☢ᔣ®Ḅ'¯°±ᵫ«☢ᔣ®°²¢ᳮ³´'«☢ᑁḄᔣ®OM,

49ᨵ¶·ᨵ'¸ᦪPST0/=/1஺4+஻08ᡂ஺zᵫ1ᔜḄᙶ᪗ᨵ:º»=4¼,1+஻(2%hᡠX=஻]+¾2ஹ=·]+"2஺.....'7ᑖ¿ᙠ{ᙊCᓃᡠᨵÁ]+/22+3Â1+ᝢ2>=3/᦮ᳮ/^xy+3y,2+//2
X2+3y2+2AjUX1X+3y,y=3b2»ট2222,,ஹ3Mb3b2,CC1ᵫঞᨵyX,+X,=-----,x.-x=----஺ᡠ224xx+3yy-xx+3X|--J2bx—42b-4xx—3V2Zx+x+6h2,t212122i212=3b°-9b~+6b2=0¿AஹBᙠ{ᙊBᦑᨵXy+32=3ᔢ/2+3%2=362ডËঠডÍᐭট[Py22+//2=1,.....11ᑖ³{ᙊBḄÐ'Ñ“ÒÓᙠ'Ô¸ᦪSTO஻=/IO/+஻O8ᡂÖ+஻2=1ᙠ×ᙶ᪗ØX-஺->ÙzxÚÛÜÚÝÞß0PáÞḄקᯠâ=cos4஻=sin஺஺æçvy³{ᙊCB,-'MÒÓᙠ×஺஺GRSTy0M=cos3OA+sin30Bᡂ஺37ஹ1OR'yz”xj,ᑣᵫ⚪zP|MF|=|y+2|-l,........1ᑖᓽì+í2=4+2-1îy2—2Ô,J.2+g2=y+],ᓄñP=4yò........3ᑖîy<—2Ô,JV+S—lA=_y_3,........4ᑖᓄñPr=8y+8ª»<-3.ᔠᦑMḄö÷CḄv-=4y........5ᑖ1ORJy•.•஻ᑮù1,0Ḅ~úYûᑮ/:y=-2Ḅ~úü³1,.•.Mᙠ/ḄBMᑮF1,0Ḅ~úªûᑮ/'yy=—1Ḅ~úýS........3ᑖ

50.•.MḄö÷Cvùᯖ/'þḄÿᱥ
ᡠ
CḄ/=4........5ᑖ2
mḄ᳛ᙠ
Cᨵᔠ⚪"#
mḄy-2=k
x-2,ᓽy=kx+
2-2k,%ᐭ=4y'(J)—4*+8
,1=0ਮ.........6ᑖ/=16/2_2,+2>00,e1ឤᡂ4ᡠ
஻?
Cឤᨵ78Ḅ#A,BḄᙶ᪗ᑖ;/
<=,5
ᓃ/2.,ᑣ᳝+/=4,,CD2E8
,1..............7ᑖজᵫH=APB,m=1JKLMN8ḄNX]+x=4,ᑣ4,=4,J᝕=1
PḄLx-y=0..............9ᑖ2AB|=lx-x2+
y-y2=4+.QR+SK-4x/J=4yl\+k2
k2-2k+2y2l2lOᑮ
mḄUVd=+2/R,S=^\AB\-d=4\k-\\J/—2>+2=4jI.4+J.2..........ioᑖMBOvS=4V2,.-.4.
A_14+
,_\.2=472,MBO1.4+0-1.2_2=0,
,—1.2=1ᡈ/—1.2=2bc./.k=0ᡈ,=2..............12ᑖ,=0ਮ.Ḅd±2&eX=2^2,x=f^3L-=3—2V22-2V2-1eX=—2=2ᑣg=2=3+2..............13ᑖ-2V2-2,=2ਮ.Ḅd4±2hei=4+2-J2,x=4-2-\/2,ᑣ4=---2g=3+2V222-2V2

51ej=4-2k,i=4+2lᑣ4=-2+22=3-2>.......14ᑖ-2+2V2ᡠ/1=3+2&ᡈq1=3—2l38ஹdt(1)•.•ᓃ(஻x)yᙠzᦪ/(X)=X2+2XḄ|}ᓃS“=஻2+2஻(஻eN*),nN2a=S-S_=2n+l.nnnyn=1a,=5,=3ᡠᦪᑡ{a,,}Ḅ⚗q=2"+1....3ᑖ(2)ᵫ/(x)=x?+2x(J/(x)=2x+2♦.•ᓃ,S)Ḅᑗ
Ḅ᳛᝕“=2஻+2.b=2*i=4.(2஻+1).4".n,-.T=4x3x4'+4x5x42+4x7*+…+4x(2஻+1)x4"জnᵫজX4,J4T“=4x3x4?+4x5x43+4x7x44+x(2»+1)x4n+1@জ-ঝJt-3T=413x4+2x(42+43+…+4")-(2஻+l)x4"[n,c42(l-4"-')¢£+J.6??+l,“+216£=43x4+2x----------(2/7+1)x4T=------4...........7ᑖ1-4Jn99(3)Q={x^x=2n+2,nEN*},R={x\x=4n+2,nGN*}QR=R.¦,.•c“eQc7?,ᐸNqL0cRNḄᨬ«ᦪG=6.,/{%}L¯L4Ḅ°ᦪq.q()=4m+6(/MeTV*).110<4w+6<115¦t1102)-----2ᑖ+l

523¦q=2%=2»஺“+]=2a஻-l(஻wN.)n%+]-1=2(஺஻1)(஻wN*)•••ᦪ஺“-1¾L¿2,✌⚗a/l=gḄ´¿ᦪᑡ-------4ᑖa-l=-x2M-1=2"-2.........6ᑖ2ঝS“=6+/+…+%=(2-|+1)+(2஺+1)+(2|+1)+…+(2"+1)ঝS“=q+%+•••+(=(2"+1)+(2஺+1)+Ã+1)+...+(2-2+1)<7"_i=(2-1+20+2'+...2,,-2)+W=-^-+n--------(9ᑖ)1_±S-n2஻1ÆLlim—---=lim----=lim--^-=2----------(]2ᑖ)Xf00QX.82"f+2X-*00122+FÉXÊW(-)+/(l--)=7=/(-)+/(—)nnn2nn1H—1(2)«„=/(0)+/(-)+-+/(——)+/(l)nnn-\1¦a.=/প+/()+•.•+/(-)+£0)7ÏPnn1஻ߟ1஻+12a„=[/(0)+/(I)]+[/(-)+/(——)]+-+[/(I)+/(0)]=--nn2/=´(஻wN*)a„-a„=qᦑᦪÒJ{/}L´¯ᦪᑡ+l44(3)b=------=—n4a“-1nT=bC+bdT----F6t=16(1+EH--H---1--11<16[1+-----1-----+--,+"12»232n21x22x32=16[l+(l--)+(---)+---+(---)]=16(2--)=32--=5,223H-lnnnT

53ᵫq=2஺+1Ji=4஺/ᡭ=2+4=4஺+4,¢aw-1,-'-4஺0,...............4ᑖᓽÔ“¾ÕÖ2⚗×L2¿Ḅ´¿ᦪᑡ஺.......5ᑖ(2)S“=a+(Ø+4)Q"'T)=_3q_4+(2a+2)2"..............8ᑖn222=(2"2)2*-3"44+ߟÙ—S,i(2a+2)2n-'-3a-4(a+l)2n-1-3a-4•.•F5,GL´¿ᦪᑡq.D(122)LÚᦪ1Sz4:.3a+4=0,ᓽ4=—o...............11ᑖ3(3)ᵫ(1)Û஻22஻=(4஺+4)2-2=(“+1)2”,2a+1(n-1)ᡠ=<13ᑖ(a+1)2"-z2)'ᡠᦪᑡÔܾ2a+l,4a,8a-l,16a,32a+7,Ýᯠᨬ«⚗Lßà⚗NḄ⚗஺.......15ᑖaw(0,+)ᨬ«⚗8a-l+஺=,ᨬ«⚗4aᡈ8a-l+...........16ᑖ4ᨬ«⚗4a+a=ᨬ«⚗4aᡈ2a+l+...............17ᑖ2aw(+,+oo)ᨬ«⚗2a+l஺.......18ᑖ42.dt(1)y2=4x...............4ᑖ(2)#N(,T)(t>0),ᑣ"(/,2/),F(l,0)o4áMஹFஹNᐳ
ᑣᨵRW=%NF/..............6ᑖᡠãä=dJ=å.......8ᑖU-14

54ᡠ,=æ=2å.......10ᑖ2-1áØ
MNḄL=20(x—1)஺.......11ᑖ(3)“⌮ᔣé⚪tজêÛëᱥ
CtV=2px(p>0)ḄᯖF,FḄ
ëᱥ
CÆPஹQ7#PᐵÆxñḄ0òR,ᑣ
RQ=ó4(5,0)஺.......13ᑖôõt#FḄ
y=k(x—g),P(Fø)Q(x,y),ᑣ1&,ᑗ)22V=4x2ᵫ4nJ2ù2(2,2+4)ù+—22,2=0,ᡠ=ú........ûᑖy=k(x---)4~45_1215ᑖkxgk&Xa-gxJkG-
------——=kKRA16ᑖD»+ýx.+—12ᡠ
RQ=ᯖA஺.......17ᑖQÿ
ᡂᨬ6ᑖ஺ঝ(_5,0)ḄᱥCPஹQ"#FP%ᱥ&'R,ᑣRQᚖx,஺-.
ᡂᨬ6ᑖ஺ঞ01ᱥCV=2px(pு0),B(m,0)(m>0)ḄᱥCPஹQ"#;Pᐵx,Ḅ=>?R,ᑣRQ@AA(-m,0)«-.
ᡂᨬ7ᑖ#ᐸGH⚪3ᑖ஺22“⌮ᔣH⚪”O01PᙊC=+4=1Ḅᯖ?FI(-c,0),F(C,0),F2ḄPᙊCPஹ2a2b-Q"#;Pᐵx,Ḅ=>?R,ᑣRQ@A/((—,0)oC-.
ᡂᨬ9ᑖ#ᐸGH⚪4ᑖ஺“⌮ᔣH⚪”\01]^CAl_Zi1Ḅᯖ?F(c,0),F(C,0),F2Ḅ]^C=2a1b2PஹQ"#;Pᐵx,Ḅ=>?R,ᑣRQ@AN(c,0)஺C-.
ᡂᨬ9ᑖ#ᐸGH⚪4ᑖ஺ᐸde᯿gᑖ஺

5543-প%=■#i?ᡠkl=/=m........................2ᑖ(2)i?q>0,஺,o>0,ᡠk16-8%>0,00,ᡠk஺,ᔣ'*%஺஻'juv#.....................................6ᑖi?4R_1=_R<0,—<0,——<0,…/4஻'(<0,ᓽ4஻-3a...........................................................................................6ᑖ.•.⌕x+y+/*=0=Ḅ^y=/(x)Ḅᑗ#xx-l<-3a,1<-8分3(3)ig(x)=|/(x)3—3ᙠP-1,1R?Ꮤᦪ#ᦑᙠP0,1Rᨬᜧ#.......9ᑖজxaWOy#/'(x)NO,/(x)ᙠP0,1Rᓫ⌴஻0)=0,g(x)=|/(x)|=/(x),/a)=/(l)=l_3q..............................................................10ᑖঝx஺>0y¡)=3¡2-3a=3(x+G)(x-G)i.xG21,ᓽyg(x)=|/(x)|=-/(x),-/(x)ᙠP0,1Rᓫ⌴#yF(t7)=-/(1)=3«-1...................................................................................................12ᑖii.x0<¢<1,ᓽ0

561°x/(l)=l-3a40ᓽ*<1y#g(x)=|/(x)|=-/(x)ᙠ-0,Hᓫ⌴#ᙠ-6,1ᓫ⌴#ᦑ¨(஺)='/(G)=2aG.............................14ᑖ20x/(1)=1'3஺>0ᓽOvovgy#(i)x//প=1-3஻ᓽ0/প=1-3஺ᓽ;2)a_i_Q(2)•.•OÇᦪ/(x)=3x2-0+9)¡+6+2஺ÈÉᔣ#=>,?x=~3Ḅᱥ6»i?ᙠa6%a7"⚗GËÌᨵ'⚗ᦪᑡ¼an½Ḅᨬ⚗#•rL-TJ4LQ+91115IÎÏ11<7+915_.'/-#-=>,x-----ÐÑᙠ-—,—ᑁ#ᓽ—V-----W—,241).........4ᑖ(2)x/ḄÛ᳛Ýᙠy#;¾Ú?y=©x—2),P(X|j)Q(X2#%),%]^¾Úὶãäy(å2—3•2—4å2%+4"2+3=o,

57k2-3^0A>04æx.+x=———>0”>35ᑖ'22k2_34å2+3X1•x,=------->0.12E—3(i),/MP-MQ=(X1-ZM)(X-w)+y,y22=(Xj-m)(x—ni)+k2(x-2)(x-2)2x2=(k2+1)X]X-(2k2+m)(X1+x)+m2+4å22(å2+1)(4å2+3)4k2(2k2+m)+m2+4kæ'3k2-33—(4ì+5)å22——J-------+ì.7ᑖ1-3'dMP1MQ,:.MPMQ=O,ᦑ3(1-ì2)+æ(ì2-4ì-5)=0=Ḅæு3ឤᡂã,\—m~=0.z,஻?=-Lm~-4w-5=0xì='1y#MPLMQ.x/ḄÛ᳛Ýᙠy#ᵫ஺(2,3),஺(2,-3)ñ஻('1,0)1òó¹ᡂã,°#xô='1y#MPLMQ..........................8ᑖ(ii)•.•஺=1,஺=2,.X=õ]^Ḅ¢ö#........9ᑖ2÷]^Aø|"|=õPF|=-IPFQB|=1IQF,|,22e22¾ù'O=3=ú\õ=ûËa=û=2MBi21%f|l\k(x-xj|2\k\22vk~>3,;.0

587T)TTd.-<3<——(Q)QCLPA,ᚖ.C,ᑣ33“࠷=2jr_ᵪ,./=1PQ|P91_112ᑖ2\AB\2\CQ\2cos(y-02smeᵫA<6<—0)......iᑖ(1),/X1=-l,x=2Z[ᦪ])Ḅ^%᩽`'21)=0,/"(2)=0..............................................2ᑖ3a-2b-a2=Q,l2a+4b-a2=0,Qaa=6,6=—9.................3ᑖf(x)=6x3-9x2-36x..........................................4ᑖ(2),.,XiஹX2Zcx)Z^%᩽`'.,./'(e)=/'(,)=0....XiஹZf3ax2+2bx—a2=0Ḅ^᪷.•.,i=4j+121.•.i>()klᑗa>0,bwHឤᡂs.,/<7>0,X1•<0.••.I⚗|+1஽Hxf[=’(lᑖ2_4(_{=|ᑶ+~..............6ᑖᵫ||+2|=2aJ.+ga=2":.b2=3a2(6-a)............7ᑖvb2>0,A3<72(6-(7)>0,0

5900஻(a)ᙠ(0,4)ᑁZ[ᦪ40,x-x<0,12]2g(x)[(A_)_(A-12_)?=~^(x2-X1+>•a1,/x-x=--,x=Q/**•$=.{22-•-Ig(x)?.(a+++)2=ga(3a+2)2.....................................................16ᑖ•••xiஹX2Zf/'(x)=0Ḅ^᪷/.f\x)-3(7(X-x)(x-x).............................................................................12ᑖ}2a1,/X]-X=-y,X=Q,X=.22]•■•Ig(x)1=13a(x+j)(x_a)-a(x++)I.=|a(x+1)[3(x-o)-l]|'•*X|

60a2S=4a6+6ait+...+(2஻-2)-a2n+In-a2n+2+(In+2)a2n+4n(1-a2)S„=4a4+2[a6+...+a2n+2]-(2n+2)a2n+4,va*l,2a"I—a?"ஹ2aJ(2஻+2)஻—=¢[fC+1-(«+1)/']…(8ᑖ)•••s„(I/l-a2l-(7l-a-=^5-<1,§00,\-a-2஻/"42a4l_q2”c+-~r=l~~~r+l—a)……(11ᑖ)l-a\-a\-aீᓃ1+1-……(12ᑖ)<—1^+1……(13ᑖ)<஽+1=3(14ᑖ)1+a1-a249.Qপ|¯ὡ|=21PF|,|PF,|-|PF|=2a:.\PF|=4a,|PF|=2a22X2PR1PF(4a>+(2a)2=(2c)2:.e=M2%2y2(ID=1³´y=±2x8J,2ᓛ),·(ᓃ,-2X),P(x,y)2a4a9而丽6274--2+-OPஹ-OP2=-3X,X2=4x=%_----x+/¸ᐭᓄ»1X='a?a2-2X2(III)Ꮇᙠx½¾ᙠ¿'G(/,0)ÁÂÂ2n(GM—TGN),/:x=®+᝞MS8),%6,È)ὶs/Ḅfa%+Z»Íপ(4Ì2_i)y2+Skmy+4m2—8=0ᦑ,4/»2-8yy=ফ344k2—1GM—AGN-(x-t—Ax+At,y—A,y^,FF-(2A/10,0)343x2F,Fl(GM-AGN)/—Î4+=0=Ï%lÐ4)+(1lಘ+(Òl1'=0(3)2

61ᵫMQ=AQNd.y+Ó4=0y=-2y(4)334(3)ᓽ2Õ3+(1-/1)+(/1-1)/=0(5),Ö(4)¸ᐭ(1)(2)20ᨵ=J×—1ØÙ¸ᐭe5a/=42kmm2.‘‘•’♦ᦑᙠX½¾ᙠ¿'GJl,0ÁᱏÛ
GMᐭGN஺m50.Q(I)Ü/'(x)=3ar2+6x-6஺,ᡠÞ/'(-1)=0ᓽ3஺-6-6஺=0,ᡠÞo=-2.(H)Ü஻?ឤ('(0,9).ᐜàZ¢gfx)Ḅᑗ.ᑗ'(x°,3x++6/+12),Üg'(xo)=6x+6.()ᡠÞᑗfpl(3á+6x0+12)=(6x0+6)(x-x0),Ö'(0,9)¸ᐭa%=f.â/=-1ᑗf¢9,âx0=lᑗfÂ12x+9.f(x)-஺al6ã2+6x+12=0,ᓽᨵx=—l,x=2âx=-1y=/(x)Ḅᑗ᜛=—18,âx=2y=/(x)Ḅᑗfy=9+.y=9Zᑗ§ᵫf(x)=12al6ã2+6x+12=12x=0ᡈx=1,âæ=0^=/(x)Ḅᑗy=12x-ll,âx=ly=/(x)Ḅᑗy=12x—10,r.y=12x+9,çZᑗᡠèÌ=0y=9Z^!Ḅᑗ(III).(1)kx+90çéê4W3(x+‘)+6,v3(x+-)+6>12k<\2XX.•.âxN-2í+94g(x)ឤᡂs/ᑣ0W4412(2)ᵫ/(x)4h:+9a"+92-2/+3x2+12x-ll஺20âx=0EIî92—11ឤᡂskwR,âl2Wx<0ᨵÌ0f(x)=-6x2+16x+12=-6(x+l)(x-2).•.ᙠxe(0,2]/'(x)ு0,ᙠ(2,+oo)f'(x)<0/(x)ᙠx=2ᨵ᩽ᜧ`ᓽ/(%)ᙠ(0,+oo)Ḅᨬᜧ`§/(2)=9,ᓽ/(x)49ëâx>0,%20ö+9ு9,/(x)<÷+9l¿ᡂsᡠè0(%W8.

6251.Q(1)ᵫᩩùú/(2)=4a+2b+cN2ឤᡂs1,§•.,ûx=2/(2)=4஺+26+04—(2+2)2=2ឤᡂs8/(2)=2..............4ᑖ4஺+26+஺=2ফ--Y4Q+c=26=1,c=1-4஺2ᑖ4஺-28+c=02§/
x2xឤᡂsᓽÒ+J஻—IgX+CNOឤᡂs17--.Q>(),j=(——1)2-4Q(1-4a)40,..............2ᑖ1解=-T1:l81=-8mIবᵫᑖ᪆ᩩùú⍝
⌕/ভᙠyᙠ+zᓽḄ᳛!ᱥ#ᑗ%Ḅ᳛&':211y+—x+—822ᑭᵨ#ᑗ%j=eg/,-—1H------4ᑖm12y)x+—24/./ME(-00,1+—)2ᑖ12ImI]一一-X8+(---)X+->-&€[0,+QO)/0ឤᡂ3ᓽ/+4ei)45+2ு0ᙠxw[0,+8gឤᡂ3J5জ8<(),ᓽ[4(1—m)f—8<0,,=>1——m<\................2ᑖ/(0)=2>0@/77(-00,1+—)€52.BC>e1/⌕ឋEFGHIJKᦪᑡN✌⚗b1,QKd

63e1zrn(n-Y)R,n-\,S=—nb+----------d)=b+------dx]n22••.FIHIQKIqḄJKᦪᑡ……4ᑖᐙᑖឋEd
IJKᦪᑡN✌⚗QKdᑣ4+hH-----Fh=n[a+(஻-l)d]=dn1+(q-d)n2n]b+H—+b஻_[=d(n-l)2+(q—d)(n-1)(w>2)]h=2dn+(%_2d)W>2)nYn=l%b.ai〉ᔠVb-b=2d,---bjQKI2dḄJKᦪᑡ.......4ᑖn+1n(2)\]*3
IJKᦪᑡḄᐙ⌕ᩩ_F`HIJKᦪᑡaG=c+1ᐸe6஻=஺஻_(n=l,2,3…)..............4ᑖ53i⚪kᑖ12ᑖ,>eDS3=5,ᓽl3mᵬ2o1p....................................1ᑖᵫrsᵬtḄᭆ᳛IvpḄᭆ᳛Iv,wḄᭆ᳛I,....................2ᑖ263=S3=5=ᭆ᳛IC++2.\=....................................................................5ᑖIDS§=7%4=4,5,aᨬy)mᵬt,.6ᑖzH|ᔩ4+8ᑖ%=5)=*)+()+*)஺᜛1119------F-=-----21612216JḄᑖᑡI44511910Aᑖ16216E“4XL+5ux---1--=--1-4--9-12ᑖ1621621654i⚪kᑖ12ᑖ,>eIᵫ=4y=y=y=gx./Ḅ᳛Iy'|ᡝ2=1/ᦑ/ḄI=%—1/•••AḄᙶ᪗Ie1,0.NA/(x,y),MOAB=(1,0),BM^(x-2,y),AM^(x-\,y),

64ᵫ•l+ᑁ=0=3_2)+0+._1)2+y2=0,᦮ᳮ=+2=1..••MḄCI¡¢Ie£ᯖᙠX¦¦I2§,¦I2Ḅ¨ᙊ.II᝞ᵫ⚪¬s/'Ḅ᳛ᙠa®I¯,N/'I°=±²)2±³0জ´জµᐭ·-+/=1,᦮ᳮ=2.(2±2+1)--8/”+(842_2)=0,ᵫ8ு()=0/2.ÍA3-2V2

65212=1相减得55পN4(Ü,/),8(%2%)22--221ᓛ.—A=_4ᑣ±2=)v=)ᓽ஻=2஻ᦑ஻=,2%,-xx+xa42a212,(2-4)2+222ᵫÞßàásâ£᳛஺=\a-2y[2\ফᵫs¨ᙊâ£᳛Iä.ᦑe=—ஹ•=çᑣa=38ᡈ2|o-2V2|Y“=3ì%¨ᙊIv+ᓃ=1.1892Y4=ì%¨ᙊI+/=1.Ä%4(2,1)ᙠ¨ᙊ᜜.ᦑðñ.ᑣᡠó¨ᙊI+ᱏ=1.189বᵫ⚪NsZ8>y=—x+3.¨ᙊ/+272)/=஺«ø=3/—12²+18—/=஺ᨵ8=122—12(18—/)>0ᦑ஺>ᢣx2+2y2-a2=0Íᵫ(2)se=—>1ᓽ1“-2g°?ᦑ஺ḄÚ(72)U(2J5,2+2&).2|«-2V2|[a-20Hoᑣ2aḄ(2,4&)U(472,4+4&).56ஹ(1)---=/(a“)=-4+G■kுQ=j4+^ya„\aaYa+lnn+in''L=4(஻eN*)n..ᦪᑡ14234ᦪᑡ5✌⚗'L=184d=4%4%%.•,_L=l+4(/7-l)a„4஻'3

66a„=/?£N*).-“ுo(4ᑖ)B'31T(2)ᵫE,5T=16஻2-8»-3j4஻—3aCJ(4஻-3)T=(4஻+1)7.+(4஻-3)(4஻+1)n+1T—=(+஻'1.•.1=(4஻-3)(7]+஻_1)4஻+14஻-34H-3L1஻,2M34ᦪᑡ,ᑣN-1=0,7.=ᖗ஽=16“=8஻-7nGN*122J4஻+1-54஻-3ব=/j4஻—32,4஻-3J4஻-3+J4஻+12/.S=a+aH---Va>-1)+(V9-V5)H---F(J4஻+1-j4>-3)nl2n-V4/7+1-1nwN*12ᑖ257ஹ(1)na-(»-l)a„-a+2n,a-a„2(H>2)n+xnn+]a-2a=S]+2,a—a=2,ᡠX1஺஻234a஻=2nx922ফ[=B=ᓃ7.=1+2+4.+…+42"2"2"-'2222"T12H-1n—I——+…-I-------H------2222"2)/w=4—`58ஹ(I)bP(x,y)eᦪy=/(x)fghḄij'k5lᙠeᦪy=g(x)fghḄopx'^x+-kq'(x'5V),ᑣᵫst8u5J”........2ᑖx=x'--“[wᐭeᦪy=/(x)=—ax2-ay5J

67yr+—=—a(xr——)2-a....................2ᑖ2a2a5eᦪz=g(x)Ḅ⊤|uMg(x)=,q(x-L)2-a--.................1ᑖ2a2a(II)eᦪg(x)Ḅo}Mx=—>0.aiBজ0<—J5eᦪg(x)ᙠV2,2hMeᦪ5a2•*.h{a)=g(V2)=-V2........................2ᑖঝyfl.W—<2ᓽ'2ᓽ0---211V2h,h(a)-<-a-------

68/AB|J_CMAZOMC©☢¢C—AB—BḄs☢¢j3OCᙠRtZ\OCMy5OC=VJ,OM=—tanZOMC=--=22OMZOMC=cosC+sin2-•.©☢¢C—AB—BḄᜧªMarctan2.8ᑖ(3)kOON_LCM,TAB/s☢OCM,Z.ABjlON---ON_Ls☢ABiCoAONOkᑮs☢AB௃CḄ®ᙠR/AOMCy,OC=®OM=&d.CM=J3+-=—2V42AV3¯°OMOC^2V15ON=---------=——=----CM5F¦§BCiBQ±²³kH,ᑣHBC1Ḅykb5BC1ᑮs☢ACB|Ḅ±´஺?£ABḄyk+.Bᑮs☢ABCḄ®Oᑮs☢AB.C®Ḅ2¶Gᑮs☢ABC®MN'.........12ᑖ60ஹe1SCḄykR,¡QR,DR.ᵫ⚪jPD஻BCPD=CBC;QR//BCS.QP=IBC,d.QR//PDS.QR=PD.d.PQ//DR,£q☢58,d.PQ//^SCD.............................6ᑖ¸(2)¹'¦§SP,•.•5?_14஺,☢58_1☢48஺5.5q5☢48஺.q8ḄykH,¡QH,QHSP,.•.04_1☢48஺.HG_LPC³G,¦0G,ᵫºᚖ¨¼ᳮN0G//ᓽMᡠ¾©☢¢Ḅs☢¢.KHQH=—SP=——a=-a,2224a'4SᙠAP8Cy/NPBC=90,PB=—a,BC=a:.PC=£a.22¿HG—PH•sinZ.BPC=——■ax-—=a..ெtanXQGH=——=ߟ—=——,4V72A/7HG82-----a—22V7©.©☢¢8-q஺-ÁᜧªMarctanÂ-........(12ᑖ)(2)¹©XqMᙶ᪗Åk5q4Mx5P5My5PSMzÆÇÈÉÊ¢ᙶ᪗Ë,

69ÌIJS(0,0,),8(0,^-a,0),C(-a,^-a,0),஺(04a,¤a).☢q8cḄ¹ᔣÏMÐ=(0,0,ea),b3=(xj,z)M☢q0cḄ'Ò¹ᔣÏ,ÓGn——ay4"——az=0n-PQ=044=஻=('|,Ó5-Öhᵫ5n-PC=0,6n-ax+——ar=043——a2V3V33—ax—222/11©☢¢8-PC-ØᜧªMarccos-^—.........(12ᑖ)61.(Úª⚪Ûᑖ16ᑖ)(1)b34ᦪᑡ1ajḄ84d,ᑣᵫ+2d=4,3a,+3d=18,Ja,=8,d=-2,ᡠXS“+*"l)d=-”2+9஻.............................2ᑖ"12S+S1ᵫ"2"+2'S“+i=-[(~«2+9஻)'(஻+2)2+9(஻+2)+2(஻+'18(஻+1)]=—1<0J""+20,ᓽåéᦪᑡî2yḄᨬᜧ⚗6)=7n+lnᡠXM>7.....................................8ᑖ(3)Ꮇbñᙠò᦮ᦪk,õJq>c*+|ᡂÇᵫᦪᑡ1X2Ḅᔜ⚗ᙳMò᦮ᦪ5Jq>^+1ᓽC*MCk+\5û,«+2<^Ck+2~C*+l=Ck+\5ᦑ4+2—Ck+\~1

70åMm2"+30Q2U22U“FV᝞LᩩNQ1X14:!20,4=▲,%=%Y᝞Y<0,%,bi-Z[Lᑡ\⚪QI^_ᦪᑡ#q-4%abcᦪᑡYIIdᦪᑡ#e-஺“%Ḅg஻⚗H*S,,,ijk“>1lim^=0,p⚪S”.Ill஻஻22aFV"”Ḅᨬᜧ᦮ᦪᵨq4⊤v"FVḄᩩN.ZQIw4-%=¨©-%=ª/%h4_%=᝞x£^_^=Y᝞x%,ᡠ13z{|}~=ᨵ4—%=C«/¬,ᯠ4x%>0,ᦑᦪᑡ#-4%abcᦪᑡ….4ᑖHᵫIka—q,=a-qgᦑ஻“xxS“=4-ql+|+ᨬ+…+3+ᑶ,ᡠ1gs“=SqY+ᨬ+…++ᡠ1Ji=ex%1+Y+<+…+*_9*=஻_%41xx…7ᑖYI஺>1,lim—=0,ᦑlimS“=44-q.8ᑖ“T8Qn"TOOIII>">…>"஻N2b^b_2

71=Y+n+(xq)(¨”1}=4+3-0)(Y)”.i>o,ᑣ᝞=,b”b=jq+ex«,)(-)"|-1«,+¬x“)g)"T|=-(^-«,)(-)"<0,ᡠ14>b,஻aFnlt+lV஽>®>…22)Ḅᨬᜧ᦮ᦪ-..¯°஻aFV±²<0Ḅᨬ³᦮ᦪ.(12ᑖ)¢Q"+"<0=q+(4-4)(1)"<0<=>—~~"<2"=log———0,¾ᔠ⌕pY2ᑖa<0g(x)=ax2+x-l,g(x)ᙠ[2,+8)»ÂÃឤ³8½1+4a>0ᦑ²=l+4aW0ᡈg(2)40,ZQaW——42(7Y.aḄÆÇÉa(-8,-&U[0,+8)6ᑖ4Y—1ফa=0,f\x)=-^x01/'(X)>0,.../(X)m=/Il)=l8ᑖhqXh1(3)Ï^ÐQᎷE=b>l,ᵫ(2)ln—+——>1>Inx+----,wbxx஻+]nY-——>lnb+ߟ—(஻GN*)(Ö+௃,,,b1,,1,1\x\b1Ü1ஹ®1=——>Ifnfft+——>lnb+—(Z1

72b+——x)>lnfe+---+^-(lnb+——)>••Xjxbxhb1x234>(1+—+-4r-+•••++•••)In6=-inb,ᓽxlnZ)<1জbb2bni1i1bbᵫফ6>1

73b+->l,d.lnZ>>l--=>—In/>>1bh,11------bজ-.ᦑ5W1,ᓽxiWl,âᳮ^X2ீl,3W1,…*W1(஻£N*)14ᑖ64.ZQ(I)f*(x)=3x2+2ax+hoä⚪:ᑣᨵ:

74[/প=4+“+IZ/“x—6,ᡠ1/.(x)=d—6+9xYJ'(1)=O[3+2a+b^0h-91(x)=3x2—12x+9=3(x—l)(x—3),ᵫ/(x)=0x=1ᡈx=3஺/'(x)J(x)ᙠçè(0,4é»Ḅêᓄ}~*QX0(0,1)1(1,3)3(3,4)4ì(X)+0—0+/(X)0íîᦪ4ïîᦪ0íîᦪ4ᡠ1îᦪ/(x)=1-6x2+9xᙠçè0,4é»ḄᨬᜧÇa,ᨬ³Ça0஺4(II)ᵫîᦪḄPðña+ᦪks>0,ᦑ᩽Çó(3,0)3ᙠçès,7é»;(1)i᩽Çó”஺,4)ᙠçèç/é,°0?ᙠ@As,7BC;(1)E᩽<=”(1,4)ᙠ@A@HIJ0

750-ᙠ34⌕6Ḅa<஺ঝᵫs='/(/)=-/(/)=3,dow2,3),=-/(/)=-/(/)=-4-^Be(0,1B,3Kk424Q/(s)24s=—/(஺>/(f),34⌕6஺K(2)Etᦪ/(x)ᙠ@AsjBᓫx⌴z'ᑣ0?9ᙠᓫxz@A;f(\-xs(3)Etᦪ/(x)ᙠ@As,1Bᓫx⌴'ᓽlWsᦪs,/(s

76(2)%+|=2(஺B+஽+…+஺”)d)(஻-l)a஻=2(q+4+”.+%)ঝজঝ
"஺“+1-(஻1)4=2%ᓽ஻%+B=(஻+1)஺“'=”1'%஻ᡠ!a”=q——=1——...=n(n>2)ᡠ!a”=n(neN*)o,a%12n-\211,(3)ᵫ(2)
b=-,b=-b+b>b>b_,>...>/),>0,1n+lnnnn2kᡠ!aJ)ᓫx⌴zᦪᑡ'ᦑ⌕£2<1(஻KN)¥◤£“<1±k=l,ᑣ4=,<1§ᯠᡂª7±k"ᑣ+|+42kk111l,“1,11ஹA11k-lk+1crilᡠ!-------->®ᓃ——(--------)+…+(------)4--->-------F2=----4+1bk,bbbpbb௃hkknkk2kᡠ!“ᡠ!“<1(°±4)k+1°66ஹ(1)tᦪḄ²³(—1,+8),/''(x)=2´(x+l)——L_B=2X(X+2).1ᑖ_x+1Jx+1ᵫ/'(x)ு0
x>0;2ᑖᵫ/'(x)<0
—l—7+2,8ᑖ\e)ee

77.-.xeJ,/(x)Ḅᨬᜧ/(x)ீ᪷ឤᡂª.9ᑖ_e_(3)*/(x)=x2+x+஺,ᓽx+1—2ln(l+x)=Q.Åg(x)=x+1-2ln(l+x)'ᑣ2Y—1g'(x)=1------=-----.ᵫg'(x)>0
x>l;ᵫg'(x)<0
1g(2)>g(l)10ᑖᡠ!'Pa>1J'*Éh7P3—21n3Ḅh.14ᑖ67ஹh(1)Pa=lJ'জ(x)='+x+l)eT,*(x)=e-%-x2+x).…(1ᑖ)PÎ'(x)>0J,0lᡈx<0.……(3ᑖ)Î(x)Ḅᓫx⌴z@A(0,1),ᓫx⌴@A:(fO),(1,+8)....(4ᑖ)(2)ᑗÒḄÓ᳛(=g'(0)=-Õ3T''ᑗÒ*y=—x+1.……(6ᑖ)ᡠ6Ö×ØÙ☢Û(8ᑖ)(3)=(2x+a)e~x-e~x(x2+ax+a)=e~r-x2+(2-a)x,...(9ᑖ)»জ'(x)=0,
x=0Ü=2-a....(10ᑖ)ᑡ⊤᝞ß:X(—8,0)0(0,2—a)2-a(2—a,+8)—0+0—জ(X)X᩽H᩽ᜧᵫ⊤O'জ(x)᩽ᜧ=(D(2-a)=(4-a)e"-2....(12ᑖ)á஻(஺)=(4—a)e0-2,஻'ভ=(3-a)ea-2>0,l஻(஺)ᙠ(-00,2)C)ztᦪ,……(13ᑖ)//(a)4஻(2)=2<3,ᓽ(44ᱏ23,l>-ᙠäᦪa,জ(x)᩽ᜧ<3.(14)

78n/,2268ஹhå1æᵫe=0■'
l=1—e=*;å2ᑖæ3a23ᵫçÒ/:x—y+2=0èᙊ/+/=஻ᑗ'
2=|"ᡠ!*/V222ᡠ!ëᙊḄ*)l+ᓃ=1.å4ᑖæ32å2æᵫᩩí'OMF2|=|MP|஺ᓽð=Mᑮ²=F2Ḅòó`ôᑮçÒõx=-lḄòó'ᵫöᱥÒḄ²³
=MḄøùC2Ḅ*)/=4x஺å8ᑖæå3æᵫå2æ,OQå0,0æ,áRí,ýæ,Sþ,ýæ,ᡠ!ÿ=
,2221yL,ᵫ=0,K+%-%=0.16H%ᓄ!=_#............10ᑖ%³=&+'+32227^+32=64',-'2=.ᓽ%=±4123ᡂ5............12ᑖ••-IQS|=’:/+=64.ᡠ!'£=64,ᓽD=±81EL,=8.ᦑ||ḄHIKLMN.+8஺•^21,69ஹR:1ᵫTUVP—J5,lᙠ[ᙊ]•,ᨵ/+5=1©---------1ᑖPM+FM=0,Mᙠyb]PஹF2ḄdV---------2ᑖ2/.-V2+c=0,c=V2.------3ᑖAdtla2-h2=2,ঝ------4ᑖRজঝ,R´=2஻=_nop<./=4ᦑᡠq[ᙊCḄst=+ᓃ=1஺•…6ᑖ42

792•.•VMx,yᐵxyzy=2xḄ{|VM}X00^1x2=7,~_4yo_3.%xXLߟS—•Jo_l______OZkR3------------10ᑖ_3y-4x%+y_2x/+%001--I22rT-/.3X]-4y=-5x.------------------11ᑖl0x22v-,*,VP(XQ,y)ᙠ[ᙊC:=1]-2XQW2,10W5XW10஺00ᓽ3-4%ḄHIK[—10,10]o------------------------12ᑖ70ஹR:1%•ᨴᨴ=0,ᡠ!ᨵᡠ!A4ᵨy<|MosZFAF=|q.................................2ᑖt2ᑣᨵ9,9gsNᨴ912=|2ᡠ!|M3||...................3ᑖ+=2%.]M..................4ᑖᙠA4ᡭ¡dᨵ|ᔲ=|+|£ᓽ¤=¥+4/—1,R/=2ᡠq[ᙊMsty+/=1..................................6ᑖ11PE-PF=^E-NP\^F-NP—¦-.§-Ἐ=2-NF2=NP2-1---.---►2©ªqPE-PFḄᨬᜧIᓄqNPḄᨬᜧI....................8ᑖ2PL[ᙊM]Ḅ®V,¯°xo/o,ᑣᨵ9+2=1ᓽ/2=2-2%2N0,2,ᡠ!2=/2+±_22=_%_22+10..............................10ᑖe[-1,1],ᡠ!'=11᪗2HᨬᜧI9

80ᦑPE/ḄᨬᜧI812ᑖ71R´(I)ᵫTUOAOB=(m,V3m)-(»,-V3»)1ᑖ=-2/7JH=—!2d.m-n-^......4ᑖ(II)¯PVᙶ᪗G,y)(x>0),ᵫ=+»(x,y)=(m,>/3/77)+(w,-yfin),=+(½஻))5ᑖx-tn+n¾pm,nÀy-V3(/M-H)x2=4mn,mn=-78ᑖ342PVḄÁÂstx2—Ã=1(x>0)Ä⊤Æ!ᙶ᪗ÇVdÈᯖVᙠxb],ÊbË2,ᯖÌ4ḄÍÎz/¥=1ḄÐÑ........9ᑖ(III)¯yz/Ḅstx=W+2,ªᐸÔᐭCḄst3(Ö+2>-_/=3ᓽ(3-1)/+3+9=0᧕U(3/-1)*0(ᔲᑣyz/ḄØ᳛±6,ÄÚÛÜzÝÞßàᔠ⚪ã)A=144/_36(3/—1)=36«2+1)>0¯"(XQJ,N(X2,%)ᑣ,+%=såPæ•//ÚCḄçèéVê0313/2-1<0,ᓽ஺

81ᵫ□+4ு0òᳮÀ0ô/ô<.......11ᑖ2—=3(2_4)ᵫ=3(2—X],—æ)=3(2—ᑐ2,%)%=3y2ᵫy+=_38+8=-2%=i3H]=-3ᵞ_[ᵫæ᜜=(-38)=-3ú-3(?_[yi=-3/1_[¾pýþ2,=ÿ
=஺|13ᑖ2(3/2-1)23/115ᦑᡠ/ᙠ
ᐸ!"#$y2&=0ᡈJi?x+y-26=0.......14ᑖ72.

8222.-⚪.⌕ὃ01ᦪ234ஹ567Ḅ9-:;⌕<=>ᑭᵨ1ᦪḄ3ABCᦪḄDEឋ2ᨬHI⚪,JKᔠᳮḄ⌶O᪀⌼CᦪḄ3ARS567.Tᑖ14ᑖ.:'(1)/z(x)=x+—,g/(x)=a+l»2ᑖx//(x)=^x2+alnx-(a+l)x,f(x)
g(x)ᙠXYZ2<[\]ᓫECᦪ_`aḄᓫEឋbc,•••//(x)g/(x)=^~^Q+l)NO
Vxe[U],.••(a+l)(a+x2)N0,"4ᑖxde4e1,+஺4ef2ᡈ஺>e1i(-
).=T,a4-4ᡈ...............6ᑖ(2)"z(x)=x+q_(a+l)=x2_(a+Dx+j(x+lXx-a)=0=x=]ᡈr”,XXXi•.•*2-9+1r+஺=0ᨵu56v᪷x஺a0,+ভᙠ(l,e]ᓫE⌴.......12ᑖa+«a)>«)=0,+3ᙠ(l,e]ᓫE⌴+567I"(᳝)-H(X2)|

83(1)_2(b<1,ᓽl0,_xede,1`
/'(x)<0,/(x)ᙠ(0,fᓫh⌴j
ᙠ(ᓽ,1kᓫh⌴l,g(«)=/(y)=||«3-^.........................................7ᑖফ_14n42,ᓽ|4஺43`
/'(x)N0,//(x)ᙠ(0,1ᓫh⌴j....g(a)=f(l)=4a2-5a+2-b,.........................................9ᑖo3ஹ(10,`g(a)ᙠ(1)kjuᦪ
2922td777ᑣg(a)<—2-b=--b._b<0,62—...........জ.......................12ᑖ27(2)22233(2)_`
g'(a)=8a-5>0,`
g(஺)ᙠ1,3kjuᦪ
g(஺)Ḅᨬᜧ~g(3)=23-b..-.23_6<0,6N23............ঝ.........................................13ᑖᵫজஹঝᦪbḄ~6223..........................................14ᑖ74(I)ᙊCḄ!"#+4=l(a>b>0),ᑣ/—62=L……জ……1ᑖQ~b~t22---_/ᚖx`
4Bᙶ᪗ᑖ(1,—)(1,-),aa_1212r4r44".■.04-55=(1,—)-(1,——)=1—
aijlG=_,ᓽ/=6஻............ঝ…3ᑖaaaa6ᵫজ
ঝ஺
6bJ/—1=0..-./=_!_ᡈ/=(¡).23

84,1,32x2_/=`
a2³
ᙊ஺Ḅ!"#¬+2/=1.5ᑖ223´IIµᙠᩩ·Ḅ/.প_/ᚖx`
ᵫ´IµḄ¹fº=»
ᯖEᑮ¿ÀḄÁÂ#d=---c=-,`Ãdc2³
_/ᚖx`Ãᩩ·.7ᑖ´2µ_/Ãᚖx`
/Ḅ°᳛#Å
ᑣ/Ḅ!"#y=k´x-1µ.y=k(X-^ᵫ<2%2=>(642+2)x?—12È21+642—3=0,[É+2ᐭ16k26k2-348Ḅᙶ᪗ᑖ#´#µ´Ë,%µ
ᑣ/+x2=——>XiX223k+16k+2Mᓾ=J1+ᦇ2kl-X\-+Î2)2-4X|X2ே29ᑖ¢Ḅ£#"
ᑣ¤“=¦¦§=—^ߟ23k2+1_A48P#«¬®`
¯Ḅ°᳛#²“
3+(-3k23(Å2+1)vxp=—,/.\MP\F-1)3Å2+12(3Å2+1)..................11ᑖ3(A:2+1)_V3È(I?+I)_A48P#«¬®`
|b=!-|஻ᔂ
ᓽ2(3Å2+1)23Å2+1Å2=[,Å=±1.13ᑖ³
ᩩ·Ḅ/ᙠ
Ô/Ḅ!"#x—Õߟ1=0ᡈx+y—1=0.……14ᑖi7ii75(I);-!-==(-2)[—+(-If-1],3ᑖ%

85¢•••[-+(—1)=3,.•.ᦪᑡ|[-+(—1)”]✌⚗#3,ÛÜ#—2ḄÜᦪᑡ.……5ᑖ—+(-1)"=3(-2),ᓽa„=—.............6ᑖa„"3-2n-'+1(II)b=(3•2"T+=9.4"T+6-2”T+1.n♦-Ý*=34+62+”9.............9ᑖ(-1à1(III),/sin-------(1ß
n23(-2)"-'-(-l)n3-2,,[|+110ᑖ1111_஻23Elá
ᑣ7Z---------1---------------1--------1------+•••+3+13-2+13-22+13-2஻T+111111iiikn-dr2]<—I------1--------7H--------r4-----------r-----r---------------473-223-233-2,,_|281-2]<"=%<â
286286848474'dT[0`,X32_21(
)(--,1)(1,+°0)aaaa+0-0+/V)j᩽ᜧ~l᩽~j/(X)

863v/(—)>0,/(1)<0a.-.஻i)=-L"#ᨬ~ai3é31-•.—ߟ/+—20磗—,+8ឤᡂïaaa)aG(0,In3]x—277ஹ(1)Q=2`
/(x)-------,Inxf(x)=,,(2)=_L2ᑖxln2xIn2¢o2)=0ᡠåᑗ!"#y=(x—2)..............................2ᑖm2(2)1°_0Vx<=>(?>%-\[xInxInx2y/~x_2—Inxèg(x)=x-VxInx,g'(x)=2A/Xðèh(x)=2Vx-2-Inx,h\x)=—--<0yjxXX_0A(l)=0h.•ñò=ó>0,ᡠåg(x)ᙠ(0,1)k⌴j,g(x)l`
lnx>0,PPJ—~~—>Vxoa

87x<=>al`஻(x)>0,0(x)ᙠ(1,+8)k⌴jó>0_x>1`
h(x)>h(Y)=0,g'(x)ᡠåg(X)ᙠ(L+8)k⌴j

g(X)>g(l)=1•"MI;..................5ᑖᵫ1஺ô2஺a=\1ᑖ

8878ஹ(Dö⚪äº/uᦪ/(x)=lnxᙠ(1,0)ᜐḄᑗ
ᦑᐸ°᳛Å=/(I)=Z=1ᡠå/Ḅ!"#_y=x-ly=x-1J1Q¢³#/ùg(x)Ḅúûüᑗᡠåᵫ²1,70—X2+(஻?1)Î+9=0y=-X+znr+—22I22ý(¯I)2-9=0ு¯=2(w=4Ãᔠ⚪
)1—V(H)஺(x)=f(x+l)-g(x)=ln(x+l)-x+2(x>-l),ᡠ஻'(x)=-----1-——x+1x+1l0;x>0"h'(x)<0$஻(x)ᙠ(-1,0)&ᓫ(⌴*ᙠ(0,+8)&ᓫ(⌴,஺$x=0""(X)/0ᨬᜧ3//(0)=2hߟ~஺(III)0<6<஺"1<——<0,ᵫ(II)89-l

89ᵯߟ^................2ᑖ4444ᵫ0----------------=-12ᑖw+K+%ᓽ94+AK+%B+KK=T6,24+7^0+20=0,......2ᑖkA=(l)2-80>0,03·0,ᵫ1ீ\<14/00,kḄ/33ᑖ80.[᪆9পHᙊP(x,y)ᙊPpFᑁᑗᑣ«*-'+/=+2|-12aᑣ=4*.JCV&ᑣJ(x-D,+/=-x-3=>yi=8(x+dxீ.ᦑᙊPḄFᯖa*=1cdḄnᱥdᐸ9/=44ᑖI1'=n᮱¡-3+¢+/=0(2)জhdmḄk᳛¥ᙠᵫ1/=4*°4H§31).¨ᔩ*).ᑣª=1■■▀=◍+ᑁ஺+1+ᔛ+1=4+¯1l=z8c°=4"ᑣ±-,²[$"³¥ᙠ஺……8ᑖhdmḄk᳛³¥ᙠ"ᑣ´=4.|µ=2,¶ᯠ=2□|ᡂº.

90ᦑ¥ᙠhdm»¼=½1ᡂº.$"hdm:”L……9ᑖঝhdmḄk᳛¥ᙠ"ᵫজ◍"n=ª-1)-1)=¿-஺=IhdmḄk᳛³¥ᙠ"À.ᑄ=Â-1>ಗ-1)=(2-D(2-D=LᦑÄÅÆ
Ḅhdm,Ç.È1=Ip3.……13ᑖ81[9পᵫ⚪
89a=1,b=0,f(x)=x2+2x.............21HÉᦪy=f(x)ËÌ&ḄÆ
a0(%,)ᐵÅÎaḄÄÏaP(x,y),Ðij/=-x,%=-y..................................4ᑖa0(%,%)ᙠy=/(x)ḄËÑ&,/.-y=x2-2x,.*.y=-x2+x,/.g(x)=-x2+2x.......TফF(x)=-x2+2x-/l(x2+2x)=-(14-/l)x2+2(1—4Xpxx••-F(x)ᙠ(-1,1R&*ÉÒÓ(1=-2(1+/1)+2(1-4)20ឤᡂº9ᑖX1_2ᓽÕ4&Öក*1ᙠ&ឤᡂº............10ᑖᵫ2——1ᙠ(-1,1R&,Éᦪ,.............12ᑖ1+XX=1"/ᨬØ30,.......................13ᑖᦑ2K0'ᡠÙXḄ/3(-oo,஺F......14'Ú[9•.•Ü(x)ᙠP-1,1R&*Éᦪ.••Ü(x)=(-2-24)x+(2-24)ᙠP-1,1R&ÝÞ

91(-2-2A)+(2-22)>0[0440'(-2-2ß)(-1)+(2-24)2082(1)ᵫD8—%—2,஺3—஺2=—1Yàd=—1—(ߟ2)=11ᑖ«„i-a„=(«q)+(஻T)xl=஻_3•2ᑖ+2%=6+(஽-â)+(%-ã)++(஺”å1)=6+(-2)+(-1)+0+…+(஻-4)¾[(-2)+(஻-4)](஻-1)»2-7/7+18=oH....................................................................................................................•••22ᵫD84—2=4,3—2=2.........5ᑖᡠYæq=.-.஻_2=çè2(£|=4XQ)..........6ᑖ.•é=2+8x]1..........7ᑖe2gH/ê=%%ᡠᡃ24"/A%B*Éᦪ஺.....10ᑖì•.•/4=g,ᡠ\22"/íg23/.........12ᑖì•••/1=/2=/3=0,..........13ᑖᡠ³¥ᙠ\,».....14ᑖ83.îØ⚪ὃðñàᦪᑡó⚗õn⚗öᐵ÷øᦪᑡ³ñùúûᔠḄᨵᐵý⚪஺[C9e1þÿ
a“=S“—S,i.............1ᑖ2s2/(S“—S,,T)(2S,,—1)=2S,3,SI—S"=2S,£T1e3ᑖ7--3=2("22),e5ᑖ

92ᦪᑡ1--=1✌⚗2Ḅᦪᑡ஺6ᑖS“Si2ᵫ1—=1+஻—1x2=2஻—1,5“=---,S..=--—.7ᑖS"2஻-1ᵨ2஻+1n)r+1+51+⎃…1+S“ᑣ0஻+D1+5,+1231J2஻+1Frfj2஻+32/7+24n~+8n+4,—5-------->1.10ᑖJ2஻+l2஻+34஻-+8/7+3E஻ᙠ஻eN*D⌴F⌕Hf஻N%ឤᡂMN◤P0஻Q,.>kP^«Q.ni„=^l=|V3,A0<=|V3............12ᑖ84.Z[⚪ὃ^_ᙊaᓫcdឋfஹhij_ᙊḄklᐵnoᔣqrḄsᵨ2஺=2D2,t1ᵫuv=2wx|=2,--1=|v|=1,Ca2=h2+c2.\2-2{2at|}~2ᡠ_ᙊḄ+_/=1............3ᑖ=12-•••NA=ANB,48,Nᐳi2NḄᙶ᪗-2,0.hiABḄ=/x+2,ᐸᐜhiABḄ᳛ᩩy-rv\Ijy,2k2+14ᵫ-2x|y_22+2/=2,ᓽ^/_7y+2=0.I---Fy=1kkK=32.8.a<0V2᪷¢ᩩ£¸k2t|0<|¤|ீ¦..............5ᑖkᱏ0.24k¨+2~2k2+\2%”¨,8©2,%,ᑣ᪷¢ª«¬ᳮ,|2k2®8=22k+\'¯ᵫ°=4᪗|⚗+2,¨=cᓃ+2,%

934k஺+µ2ᓛ+2=A(X2+2),2¤2+1¨|&¸8_~2X=´-2k2A2A2+12᝕2+1¹”=º?,ᐳᕆᑣ“ভ=(¿++2)=1->=ᵫu1<2<-,ᡠ஺'(71)<0..-.஺(/1)ÁÂ1'QDḄÃwᦪ,~2஺(Ä)<஺(/1)<0(1),ᓽj4஺(/1)

942(%-®)×%ØÙ£t|PḄᙶ᪗%,yÕÖ02%%%2%,2Ø+2=2(X2+2)4ÜØ+2%+2¾ஹØᵫ<|-----=------=ᑐ2®ب=2%Þ.»+Û=y22%®2%—¨11ᑖx-Xj_122ß2kBAJ21¯ᵫ(1)---k«<=>AB3^/2ÈÉPᙠ¬hix=-lDàáPḄâᙶ᪗ḄÊËÍP1,……12ᑖPtÏQ:PḄ~᪗/ᑣ£|ᑗiPAḄ^-=-3-x-x0,2mX2ZXPJ1ᙠÉᑗiDᡠᨵ¨=----%1-X,ᓽo2%/Xi+2yoyQ=xÄ+2y...9ᑖᡠᨵxXI+2¨=2,জÔᳮ£|jé+2ê%=2.ঝ᪷¢জìঝ£hiABḄxx+2yoy=2o2hiABí¬N-2,0,.---2x=2=x0=—1,hiABḄ-x+2yoV=2,0¯ᵫ1——k<—>ᡠᨵ——<----<—஺1

953tপwᦪ/(%)Ḅ¬ùú(-1,0)u(0,+8).ü/(X)ð|/'(X)=஽-3=0+%3)2ᑖx+-xx2(x+-)223ᵫf'(x)>0,|Q3,ᵫ/'(x)<0,|1cx<0ᡈ0cx<3.3ߟߟ13,+8ᦪ/xḄ;-1,00,3ᦪ/xḄ5ᑖ(2)#$%&':)g(x)=;x+u>Inx=gx+mm=lnx-2x.ᡠ45ᦪmḄ679:ᦪ஺x=lnx-1xḄ7<6ᑖ>஺X@AB“x=D&Ex2F“(x)=0,Bx=2,GHIx>2J,“(x)<0;I00...I-2J0X6Bᨬᜧ7,H஺Xmax=஺2=N2—1.PIxQ▲STU0JVInxQ▲STU-co,-‘XQ▲STU0,2YZᨵ஺x=lnx—gxQ▲STU&8.ᦪ\x=lnx-|xḄ7<-8,ln2-l]ᓽ5ᦪmḄ679-00,In2-1]9ᑖ[$%b]:cdgx=gx+/Mᨵ5ᦪ᪷ghUijgx=gx+”?mnjy=lnxᨵpᐳr,GHIijgx=gx+%mnjthuvᑗJVm6Bᨬᜧ7.……6ᑖyijy=gx+/mnjy=InxvᑗVᑗr)z⚗/஺.ᑣ>y=Inx@AB12/=-V᪷}vᑗᐵBVy=Inx,$Bx=2,y=In2,YZV=ln2-LQ000X1Vo=*+/ᡠ4mḄᨬᜧ7ln2-l஺ZH᧕I4In2-1JVijy=gx+஻?mnjy=lnxᨵpᐳr஺5ᦪmḄ67ᔠ-8,In2-1].9ᑖ

96(3)᪵Ḅᦪkᙠ஺............(10ᑖ)☢ᵨ%ᩭᎷyᙠᦪk,BᐵUxḄcd/(ᙳ=᝖(1)ᨵ¡vgḄ5ᦪ᪷᳝£Vᑣ32¦$+-)+—=-kinx,জ}7'(X|)=¤(xj2X]ᦪᦪª«<Ḅ¬ᦪ஺32Pᵫ(1)¯VIx>0JV/(x)=/(x)=ln(3+2)+>0min3232f(x)=In+-)+-J\x)=ln(x+-)+—>0.}222Xj>02x2°ᵫk>0,¯Bg(xj=lnX[>0,g(x)=Inx>0=%>l,x>1.222ᵫU±஺E2,ᡠ4²y1ᓛ´%2,3232ln(X]+—)+—ln(x+—)H-----22x2xᵫজঝ¯B}2Inxinx}23232ln(Xj+—)+-----In)ln(x+—)+------Inx222x2xᑭᵨ¸¹ឋ»B}2InxjInx23232¦1+~—)+ln(l+j)+—rr2M_____2_2*2z*\ᓽ--------—(13ᑖ)Inxlnx]2ᵫUInx(1,+oo)¼ḄឤᦪVH1᳝´S¿´L"Inx2PᵫUÀ(1+¼-)+W(1,+00)¼ḄឤᦪVH1°´/.J2xx32ln(l+Á)+&--------¹~~^-1.32ln(l+—)+—2XX22

97323732ln(l+—)+—ln(l+—)+—ln(l+—)+—Inx2xxo----2x,__Äு------*__ÆVm(*)ÇÈÉ஺}}]ln%2ln(l+—)+—Inxjlnx22XX22ËÌᩩÎḄᦪkᙠ................14ᑖ86ஹIyij/cd)x=0+4,Ñᐭ=2ÓBÔ2&29—8P=0yÖ,×,஺஺2V%Vᑣᨵ×+72=2Ø×Ù=&8஺ZÚÛ=0,ᦑ0=5Ý2+%ᐜ=@i+4@2+4-8/>=k2yy+4áâ+%+16-82}2ᓽ0=-8ã2P+81p+i6—8p,Bp=2,ᯖr/1,0.HyRxj,ᵫZ+è=ZBé&1,â+஽-Lâ=ë&Lᵨᡠ4X'+x=x+1,y+y=y2t2Zy=4x”H=4ᑐ2V¯BÔí&%=â+%â&%=45&஽FRḄîrᙶ᪗)A/òV¼V22yI⚗WX2JVᑭᵨkpQ=ã.ᨵ3==ߟ?—yé&mx+iô2᦮ᳮBV2=4x-28.yI°=/JVRḄᙶ᪗)7,0,÷ËÌ/=4X-28.ᡠ4=4X—28ᓽ)ør7?Ḅùúcd.87ஹ$᪆1ᵫ⚪ý¯஺&஺=T&1HJ7ÿ'=J5,a=&,b=c=lᙊḄ+/=2ᵫ1Fl,0,ᡠ!OW/wWLᎷ'(ᙠ*+⚪-Ḅ.//,'/Ḅ2᜛=᝕ᑐ-1,4ᐭ6+/=12/+172-4᮱x+2/-2=02'/;M,8X2,%ᑣA+B=2^/8=DEজ.•.I+%=mḄ+I-2=KL'-2k2+\'22᪗+12k-+1

98CA+CB=ᓰO᪷,I+x-m,y]=-2w,22+1vCA+CBr~AB,RABḄᔣᔣT“V4k~—2k,BBBஹ2/.——-----2mH-------x=0<=>1-2mk=m2kj2k2+1.•.D0W[<\,]=^ᓽ(ᙠ`᪵Ḅ.//;DL4c41\dA(ᙠᓽA(ᙠ`᪵Ḅ.//22v288ஹe1f⚪-'ᙊxg+h=i஺ு/?ு஺ᑣᐸnᯖpᙶ᪗a2b2Fc,0,c=-yja2-b2,.......]ᑖlll|F5|=2,Jc-u2+—w2=2,ᓽ0Ox2+2=4,஺=2⊈஺........3ᑖ{\-b=2,d,a2=c2+b2=U,ᓽᙊ"+}-=1஺……4ᑖ2ᵫ|/஻|=|4i|p4ᙠ/Ḅᚖ.ᑖ/y=kx-2ᵫ2y+3hߟ22=12y1124ᓽ1+3]22_12Ax=0*.......6ᑖᵫ]஺0,*Ḅ=-12=144>0,ᓽ*ᨵAḄᦪ᪷஺.......7ᑖ'MX1,iஹN
X,y,/MNḄpPx0,2212k$+x6k2ijx,+xx=------=------201+3]221+36/O2(1+3/)-2ᓽ¢£஺=kx0—2=1+3/)9ᑖ1+31+3]2

99•.•]x0,./APḄ¥᳛k.=Lt§O=62-2e1+᝕2g,..................]0ᑖ6k6k1+31ᵫ6262e"3᮱x%=_i,.............................11ᑖ6k.**2+2+6%2=6,ek=±—,ᓽtana=±—,.......12ᑖ330Wa<»hᦑa=—,ᡈa=2,66Ji57r•••(ᙠ.//*+⚪-ᐸª¥«1=¬ᡈ஺=¬஺..........13ᑖ6689ஹeeIgᨵS*+1-S*᧕IIᵫ%+1+%=4ஹ+2®+i—e2%+2=Oᓽ-2»=•,,=
-1*
«1-2{%=2ᡠ!*=2»eIIIg,.z^...j±^iE2==<1/
«/4%'+8%+490eeIᵫ¯q6஺-1,஺2=4,%=2஺/{஺+%=2஺2/.6eQ—1+2Q=8,ᓽQ=3......................................e2ᑖ..q=2,ᜩed—a2—q=2-ᵫS=ka+I6L,.....................
4ᑖk}A122k+±"11x2=25502ᓽ42+]O2550=0.]=50ᡈ]=—51
²..•.4=3,]=50.……
6ᑖ
11³S„=஻´+ᜐ”-Di,S.=2஻+·-1%2=஻2+஻.……e8ᑖ22s.-.♦O=஻+1……e9ᑖ.•-{஻}º»ᦪᑡ.ij&+&+[]+...+=
3+1+
7+1+
11+1+...+
4஻-1+1=------——-.......
11ᑖᔆ•4+4+4]+…=2஻~+2஻.............................
12ᑖ

10091.e(1)¾a=b=l¿/(1)=02ᑖ{ᑠ=Áᓣ2/Ã+"ফ"Ã=O5ᑖ(2)/(2O")=/(2O1-2~)=2-|/(2"")+2~/(2O஺.2"/(2-")=2""/(2""2T.¾2=2"/(2-஻)2ஹ9ᑖᦪᑡÅ,ƺ!»<1=-3஽=2/(+)=-+Ḅ»ᦪᑡ12ᑖ2=È+(஻-1)•7.♦⊈=g.♦./(2-")=OK14ᑖ92.e(1)ᐙᑖឋeË/+/=஺.*.a=b=0/(x)=x|x|ÌÍ-ḄxeAÎᨵ/(-x)+/(x)=0•••/(x)᜻ÐᦪᦑᐙᑖឋᡂÒ.2ᑖI⌕ឋeË/(X)᜻ÐᦪᑣÌÍ-ḄxeHÎᨵ/(-x)+/(x)=0ឤᡂÒᓽ-x|-x-4+6+x|x-a\+h=0¾x=0,b=0+¾x=a,a=0oa2+h2=06ᑖ(2)ᵫ6<2Õ-3<0,Dx=0\஺ÖÍ-ᦪA×ឤᡂÒD0gmax(x)=g(l)=l+b10ᑖX5¼X)=X—g,ᑣMx)ᙠ(0,ßᓫÜ⌴àQ,+8)ᓫÜ⌴Þ10DbV-1\஻(x)=¬O9ᙠOVxWlᓫÜ⌴àXa

101a<ämin(x)=2-7-b,1+fta2x2+(a-3)x-3a>0,.•.(x—3)(x+a)>0Ìxe[l,2]ឤᡂÒ,{•.♦x-3<0ឤᡂÒ,x+a<0Ìxw[l,2]ឤᡂÒa<-x,X-xe[-2,-1],a<-2.(2)ᵫ/=(4-3)2-4(஺2-3020e-lai-9a2+27.'g(a)=3/-9a2+27,¿ìeg(a)=9a2-l8a=9a(a-2)Da€[2,3]\,g(a)>O,g(a)⌴Þ;Daw[0,2]\,gভ0,g(a)⌴Þ,.•.g(a)ᙠ[-1,3]ḄᨬÁïmin{g(-l),g(2)}=min{15,15}=15(3)஻(a)=-Ug(q)-27]=-1(3/-9/),᝞ñae(0,l),U6631Hr(a)=3a--a2=3a(\--a)>0”ভᙠ(0,1)⌴ÞÐᦪH(a)e(H(0),H(l))=(0,="(()=—(3a¢_a„2)9o,4£(0,1)n%£(0,1)=-••n4஻£(0,1)n…]31•••(+1-4=~an=qa_2)(஺஻T)0,6>0.ab~a2+/=1,/_τ<13<ᔆ2ᵫpCḄøù/Eúᯖûc=lᨵ:ýOþ=L/

102ᡠ!øù/EḄ
----½—=1.τV3V3222-c,0,B0,c,ᵫ=3+26”0,c,Cc,c,22/+6*=C?জ!EḄ
5=1஺%0&%0,'023c2/b2J_\=iঝAa~4h~জ)ᐭঝ'ᓄ-᦮ᳮ03a4+6a2b2-b4=Q,:.-4-6-2-3=0aa302,2=3+26.a4e?===1+7=4+28.7="4+28=8+1,ᓽ!EḄ<=<>7c?aaᐵḄAᦪ஺3ᎷDᙠFᦪ;I,I4J=K஺ឤᡂN'4-c,0,C|■'QRc-V3-CH----AR,A6Xp=-~~Ty2_9F1+41+22^2J-c=1ঞW~c(4-2)&T4a4/P4Z(---------------'\C,F^ᙠ!EW'ᦑᨵa"2(1+/I)52(1+2)c2(A-2)23c2eট4/(1+f)24/(1+4)2/21R4ᵫঞ0e?—hᔆ=4nk~b2b23e2(A-2)2)2ঠ)ᐭট0_(/_4)--------1,ᓄ-᦮ᳮ0-o2+e2=24+14(1+n24(1+4)2ᓽp=01,ᑭᵨফt⚪Ḅvw03+2^l+V32==e2+26+2V34i+ஹ/i—•—■ᦑDᙠFᦪ2=—Y-,I=f஺ឤᡂN.495.(1)•••/'஺)=2+26x+c,ᵫ⚪ᦪḄ0/'(l)=a+2b+c=0জ/(m)=am2+2bm+c=R஽ঝ

1034஺01Eᵫজ0c=-a-2b,)ᐭa0,W(-)2+2(-)>0,W-<-2,g£->0@+aaaaᵫঞஹট004஺<1a(2)ᵫ/(x)=ax2+2bx+cḄᑨ=4b2-4ac>0
/'(᜜=2+2+஺=0(*)ᨵ¡¢F᪷'X],,X24ᵫ/প=஺+26+஺=0'/=1
(*)ḄRF᪷'11ᑣᵫ᪷7§ᦪḄᐵ§0X]+x2=---'¨2=------1<0Xi¬'/(x)<0,ª502ᦑᦪf(x)Ḅ⌴°±²[X2'X]],´⚪[X2'X1]=[s,t],·¸|s-tblx,-xH2+º,ᵫ(1)042<10IST|Ḅ½¾À[2,4)2aa(3)´/(x)+a<0,ᓽQX2++c<0ᓽax?+26x-26<0·¸aVO,0/+Â-Ã>o,᦮ᳮ0(2X-2)Å+'>0xaag(2)=(2x-2)-2+/,ÆÇ>ᐵÈ2ḄRÉᦪ'ᵫ⚪'aaag4>0ÊÈ042<1ឤᡂNᦑ(gপ20ᓽZ'+2X-2-°WX<-A/3-1^X>V3-1aa[g(0)>0[x2>0ᵫ⚪[&,+oo)c(-00,-73-l)u[V3-l,+oo),ᦑÍ28—1,·¸AḄᨬt¾6-196.(1)V/(-l)=0,d.b^a+\,ᵫ/(x)20ឤᡂN=/>2-4a=(a+1>-4a=(a-<0,,f(x+l)2(x>0)...ᱏ1,ÐÑ/(x)=/+2x+l,.b(x)=4-(x+1)2(x<0)(2)ᵫ(1)/(x)=x?+2x+1,.g(x)=f(x)-kx=x2+(2-k)x+1,

104ᵫg(x)ᙠÒR2,2RW>ᓫÔᦪRÕᔞ4R2ᡈ-=Ã2,0WaR2ᡈ×26.22(3)•."(X)>Ꮤᦪ'.,./(-x)=/(x)Ñ°>0,/>(ÙᙠÒ0,+00)°ᦪ,ÊÈJ(x),ªx>0¬,-x<஺'/(RT)=-/(-x)=-/(X)=-/(x),ªx<0¬'Rx>0,J(T)=/(Rx)=/(x)=IF(x),.•.Ú(x)>᜻ᦪ,ÜJ(X)>ᙠP0,+8)W°ᦪ,ªmn<0,mஹnÝÞ'(i)ªு0,஻<0¬'ᵫ>R஻>0E(Ä>/(R஻)=RÍ஻)F(m)+F(n)>0.(")ª஻á<0,஻>0¬/ᵫ஻>-m>0F(஻)>F(—m)=—F{m},F(m)+F(஻)>0.âW()+E(஻)>0.97ஹ3(1)P\ᙶ᪗(x,y),ᑣ%==—ᓄ-0(x+3/+y2=8,V(x-1)2+y22ᡠ!CḄ
(x+3)2+y2=8+(2)!C>(—3,0)ᙊ='2çèéḄᙊ/!C'êëì>Rèé2íḄᙊ'\(R3,0)ᐵÈî!y=xḄÊï\Ḅᙶ᪗(0,-3),ᡠ!C'Ḅ
x?+(y+3)2=8,ìᙊḄᙊ=(0,-3)ᑮî!y=x+m—3Ḅñ¢üᦪᑡ..........(7ᑖ)ফᵫপ0a-rt2+tt=(t/-l2+l)-2n-1Aa„=2"-'+n2-n,n1

10511ᦑb=(8ᑖ)nn214422————<-------------------------------(9ᑖ)/°4஻24«2-12M-12஻+1,,,22222n>2¬,s“=4+4+4+…+4<[_])+,•.+(/2஻+1)2஻R1I+“W/
11ᑖ32/7+136஻ÿs஻>522).(஻+1)(2஻+1)Sn=b\+%=l+=j6஻_12_454
஻=2—>—(஻+1)(2஻+1)-375-5*45ᦑ஻=2ᡂ.....................................e12ᑖ
஻23ᵫ-------=--------nnn+1)nn+1S=b+b+b+---+b>(1-ீ)+(-)+(-)+••+(▲---nl2in22334nn+1=1=---,ᵫ2஻+1>61>---h஻+1஻+12n+1n6஻s.>------>--------------------
14ᑖ஻+1(஻+1)(2஻+1)99ஹ"#(I)$⚪&%=%+10=100ᦑ&=106
஻N2a“+|=9S.+10/=9S,T+10:(=10ᦑ)%*+,ᦪᑡh/=a0i=10"("wN*),1ga=nIga.-Iga,=("+1)—஻=1ᓽlga஻*12ᦪᑡn(H)ᵫ(I)3,T—3(------1--------FAH------------)"1-22-3஻(஻+1)=3(1k+ý+þ+¨1)=3-4223n஻+1஻+133(III)---9=3-.•-
5=1.7+6ᨬ895஻+131h$⚪&ᨵ;>#=>2—5>"—1<><6ᦑᡠA᦮ᦪCḄ69Eᔠ+0,1,2,3,4,5100ஹ"#=IᵫJ3a,5,2K+௃=K+஻,331_3ai=ᱛNb”=஺”+|41஻,+|=%+2-a„\~1+

106%+(஻+l)%+஻%-/T%+I-4-122=—2____=1”,஺"+2e஺"+1T+1e/e1%+1-6,e123-¡¤]¥¦Ḅ6¦ᦪᑡ.-•-4
¡e^]✌⚗2331IIᵫeI:b=----x=----X----n422",3131-ci-1=----x----ci-,eq-1=——xe,஻22n22,31,31-1=-©ª---1=——x——22'i«¡[ᔜ7b®:(1H------1-------r),4r2"T,31313:,a==-+(/?-1)--(1--^-)=—+W-2.n14222"~'2"3¾?=^+”2.(III)Ae'¯ᙠ°=2,±ᦪᑡe+஻,..6²ᦪᑡ.n•••S“=q+%+…+4=3(
+5+…+!)+(1+2+…+஻)—2஻__L)2ஹ2"τ”(“+D—2n=3(1—£)+n2-3H3n2-3n.=3x---------=------+----------+3.14222"2_2(i--L)...............Ay3133T=4+a+…+6஻=---------+-----=—(1------)=-----1-----r.n12஻12T22w+,11-2ᦪᑡᡝ+\e6²ᦪᑡḄᐙ⌕ᩩµ¶21=Z஻+8,NஹB·ᦪ,nnᓽS஻+AT=An2+Bn,nce3rr-3n...33.rr-3n”/2.1ஹi5+¹º——+3+2(--+—)=——+3(1--)(1--)4444444.••y_»y1e2=0,ᓽ2=2{ᦪᑡ('+'º]6²ᦪᑡ2nA+'¯ᙠ/1=2,±ᦪᑡS"+"46²ᦪᑡ.n

107ᵫ=Iஹ=II:a“+24="2.•.£,+=e2஻5“+½d_"¾"_2஻_27+/17_“_3_22==+¿nn2n_2=i__L4Z3133i=4+4+…+À122஻22w+,1—233ஹzn2n22w+,-•-y_»y/l=2{ᦪᑡg?.+'>.6²ᦪᑡ.n