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2012 ᐰắẆᐭὃᦪ⚪ஹ⌱⚪8⚪,⚪4ᑖ ᐳ32ᑖ.!ᑡ⚪#$Ḅ&'⌱⚗) *ᨵ'⌱⚗,ᔠ⚪.⌕0Ḅ,12ᡠ⌱⚗4Ḅ567ᙠ9:;ᢣ=>?@.(1)DEy=ḄIJEᩩᦪ()x-1(A)0(B)1(C)2(D)3ফTUᦪ/3=(d-1)(62'-2>-©"-) ᐸ)_`ᦪ ᑣ/(0)=()(A)(-ir'Cn-l)!(B)(-l)n(n-l)!(0(—1)"j(D)(-1)"»!বT4>0(=1,2,3…),5“=p+ᵯ+%+…ᑣᦪᑡমuᨵvwᦪᑡxp,uᦈzḄ()(A)ᐙᑖ|⌕ᩩ}(B)ᐙᑖ~|⌕ᩩ}(0|⌕~ᐙᑖᩩ}(D)~ᐙᑖ~|⌕ভT=sinxdr,6=1,2,3),ᑣᨵ()(A)/,(),<0,ᑣ/(_ x)>/(x,,)ᡂḄdxdy'ᐙᑖᩩ}w()(A)Xj>x,y,x,y>y(C)xy22221212122(6)TᵫDE)*”=±=1ᡂ ᑣ'(¡ு1)(1«1)»=D()(A)71(B)2(0-2(D)-7t¤0'0ஹ-n(7)T%=011,ᐸ)q/g/_¨ᦪ ᑣ!ᑡᔣª«EឋᐵḄ_a()(A)¯° ¯(B)apa2,a4(C)apa3,a4(D)a2,a3,a4'100ஹ(8)TA_3▤²▣ ´_3▤⌮²▣ P"P=010.¸´=(0i1,a2a3),Q=(ot[+(12,0(213)ᑣT/1Q=ஹ°02J
1’100'»00ஹ'200ஹ'200ஹ(A)020(B)010(0010(D)020ஹ001,1°02,ஹ002¼ஹ°Lஹ7¾⚪9-14⚪,⚪4ᑖ ᐳ24ᑖ.12Àᫀᑏᙠ:;ᢣ=>?@.(9)Ty=y(x)wᵫÃÄ>+1= ᡠÅ=Ḅ◚Uᦪ ᑣ.(10)lim/il----r+mg+2+n+n)(1ுdz2&(11)Tz=/Ilnx+ ᐸ)Uᦪ") ᑣ“Ë.1y)(12)ᑖÃÄ)dx+(x--3y2)d) =0ÌÍᩩ}) k=1ḄÏ_y=(13)DEு=/+'(Ð<0)@D᳛_ḄÒḄᙶ᪗w(14)TA_3▤²▣ |Ö3,A*_A×ز▣ ¸ÙᣚAḄÛ1ÜÝÛ2ÜÞ²▣ᑣß41=,àஹÏÀ⚪15-23⚪ ᐳ94ᑖ.12ÏÀᑏᙠÀá;ᢣ=>?@.ÏÀâᑏ$ᦻ5äåஹæåçÄᡈéêëì.(15)(í⚪Ìᑖ10ᑖ)]+X1ïUᦪ/(ᑍ)=¤------,ñ(I)0Ḅò¼(H)¸x-0ô /(x)-QÝwö▤÷ø 0¨ᦪᦇḄò.(16)(í⚪Ìᑖ10ᑖ)
270Uᦪ/(x,y)=xe2Ḅò.(17)(í⚪Ìᑖ12ᑖ)ç(0,1)ÒüDEL:y=lirvḄᑗ ᑗx8ᵫL ABᡂ,DḄ☢ x ᕜᡠ" #Ḅ#.(18)((⚪*ᑖ10ᑖ)-./0ᑖ1dᐸ45 r=l+cos6(0484])ᡂ.D
3(19)((⚪*ᑖ10ᑖ)BCDᦪ/(x)*FGHf"(x)+f\x)-2/(x)=0/"(x)+/(x)=2e',(1)/(x)Ḅ⊤JKL(II)5 M=/(/)[/(-/QḄR.(20)((⚪*ᑖ10ᑖ)[2STxln^^+cosxN1+U(-1<%<1).1—x2(21)((⚪*ᑖ10ᑖ)
4পSTGHXn+X"T+…+X=](>1Ḅᦪ)ᙠ`(g1)ᑁᨵdeᨵ fg᪷;(H)k(I)4Ḅg᪷x“,STlimx,,pᙠqr▲.(22)((⚪*ᑖ11ᑖ)u400ஹ(P01Q0-1y4= 3=0010001y(I)-.{ᑡK|~L(II)gᦪGHAx="ᨵqᐸ.(23)((⚪*ᑖ11ᑖ)
5’101ஹBCA=]°,/2*3=/AAxḄ2,ஹ0ofIgᦪḄLIDᣚx=Q/ᓄ᪗.2011ᐰ¡ắ£Ẇ¥¦ᐭ¨© ὃ«ᦪ¨/«⚪ ஹ⌱⚪®18¯⚪,°¯⚪4ᑖᐳ32ᑖ.²ᑡ°⚪³´Ḅµf⌱⚗4·ᨵ f⌱⚗¸ᔠ⚪º⌕Ḅ¼ᡠ⌱
6⚗½Ḅ¾¿ÀᙠÁÂÃᢣÅÆÇÈ.1.BCX->0Dᦪ/(X)=35ÊË-5F3%(??ÎÁϯᑣAk=l,c=4Bk=a,c=-4Ck=3,c=4Dk=3,c=-42.BC/'(x)ᙠx=0ᜐ×Ød/(0)=0,ᑣlim'""':2/(/)=x->0%A-2/,(0)B-Ú0)CÛ(0)D03.Dᦪf(x)=ln|(x-l)(x-2)(x-3)|ḄÜfᦪA0B1C2D34.ÝᑖGH/-Gy=e^+(A>0)ḄᱯKAa(eá+â)Bax(e*+e-ã)Cx(aeZl+be-Zr)Dx2(ae^+)5yDᦪ/(x)ᐹᨵ/▤èéØᦪd/(x)>0J'(0)>0,ᑣDᦪz=/(x)ln/(y)ᙠ(0,0)ᜐì"¯Ḅ fᐙᑖᩩïA/(0)>lr(0)>0B/(0)>lr(0)<0c/(0)0D/(0)y(0)=Ḅ&y=X71ii.@Ay=tantdt(Si0ᑣfx-QQdx—J-OO
713.L☢NODᵫy=X,ᙊ/+y2=2ySyTᡠ!ᡂᑣWXᑖY7=D14.[\/'(%],]2/3)=X\+3X2+X2+2_2+2`]3+2%2%3,ᑣfḄabឋᢣᦪ)23e&f⚪0ln(l+)j15.lmDᦪ (x)=]---------limF(x)=limF(x)=0,qraḄstvXaXT+8XTO+I3316.Dᦪ y(x)ᨵxᦪ 113_lr y(x)Ḅᦪt{@A y(x)Ḅ|}N~Sz+I3317.z=/(,),()ᐸ_Dᦪfᐹᨵ▤ᦪDᦪg(x)(ᙠx=lᜐstg(l)=l,rᢴZx=l,y=ldxdy
818.Dᦪy(x)ᐹᨵ▤ᦪ@Al:y=y(x)Ay=xᑗa@A1ᙠ(x,y)ᑗAḄ=,ry(x)Ḅ⊤dxdx19.¡¢£1)¤¥¦aᦪn,¨ᨵ"!"91.-120."®ᘤḄᑁ±ᵫ²_@A³y´µ"ᕜ·ᡂḄ@☢¸@☢ᵫ/+¹=2ºZ3),x2+y2=l(y4/)Ï·ᡂ(1)r®ᘤḄ®X(2)»®ᘤᑁ¼®ᘤḄ½»®ᘤ⚔¿ᐰ¿ÁÂÃÄ◤⌕ÇÄÈÉ(CÊᓫÌ:mÐWjÑÒÊ)gm/s'½ḄÍÊ)lO'Ag/m')21.lmDᦪf(x,y)ᐹᨵ▤ᦪf(1,y)=0,f(x,1)=0,j|f(x,y)dxdy=a,ᐸ_Dff£)={(%,y)|0103224ÝÞ⚪;ᑖIIᑖàᔣâ!%=Ý1,0,1àa=Ý0,1,làr,%=Ý13,5à,äåᵫᔣâ!4=Ý⌗»,2A=Ý123à¹,.=Ý3,4,aà7Aឋ⊤èপrḄt;ÝIIà¼ë2,03ᵨ%î3Aឋ⊤è
11’1P-ir23.A)e▤ñ▣R(A)=2,A00oo011,rAḄᱯôtᱯôᔣâÐ(2)rA2010õᐰ`ắ÷Ẇùúᐭüý"ὃqᦪüq⚪"ஹ⌱⚪8⚪,⚪4ᑖᐳ32ᑖ.ᑡ⚪Ḅ⌱⚗ᨵ⌱⚗ ᔠ⚪ ⌕Ḅ,!"ᡠ⌱⚗$Ḅ%&'ᙠᑏ⚪*ᢣ,-..(1)1ᦪ/(*)==£Ji+7Ḅ89:;<ᦪ=x*-lVx23(A)O.(B)l.(C)2.(D)3.[]|(2)LM”M▤GឋPQRSᑖTU)'W),=⇟Y)ḄZᱯ\]^ᦪ_/»+bMTUḄ\-”MfgḄhRTiḄ\ஹᑣ“11Eஹ.11(A)(B)2=——.//=——.212(C).(D)?!=•=C.[]3333(3)FGy=./7FGy=alnx(/0)Iᑗᑣ=(A)4e(B)3e(C)2e(D)e[]
12(4)LMkᦪ.ᑣm^nᑖCᔾpqrḄᦈtឋ:(A)wx7yᨵᐵ(B)w”7yᨵᐵ.(C)7n"y~ᨵᐵ.(D)7"1ஹ"y~8ᐵ(5)L1ᦪC=C8)ᵫTUF(.)=0,ᐸ=S1ᦪ11b.ᑣ(A)X.(B)z.(C)-x.(D)-z.nয(n+i)(n2+j2)(A)f'dvf1-----------(B)[drl-----------13(14)4,53▤▣,|=3,|B|=2J4T =2,ᑣ + .ஹ\½⚪1J23⚪ᐳ94ᑖ.!"\½ᑏᙠ½⚪*ᢣ,-..\½gᑏᦻ%áâஹãâUᡈåæçè.(15)(é⚪êᑖ10ᑖ)1ᦪ)=®(/-"0ëḄᓫíî:7y.(16)(é⚪êᑖ10ᑖ)জròólnH[ln(l+r)]"dt7”|111®Ḅ(”=1.2,7Ḅᜧáâᳮᵫ;(II)ù|lnr|[ln(l+r)]"dt(n=1,2,-),▲linu/„.JO(17)(é⚪êᑖ11ᑖ)F="+’ᡠ,,L1ᦪy=/(*)ᵫýᦪTUᐸÿ«)ᐹᨵ2▤ᦪ,Iy="(f)ci2y_311^(1)=^.'(1)=6..ᦪ3প.dx'4(1+/)
1418 ⚪ᑖ10ᑖ #$%&/Ḅ()*+,-,.☢012&2452&"Ḅ7ᙊ49:JT,-=>,?,-@,A%B&:bEG 4HI,ḄJK1BᓫM&NJOᓫM&᩹,,ḄQB&RᦪpT/□3 ூᑖ᪆ᐜ,Ḅ)Z4[▭]◤7ᙊḄ_ᑖ☢Z.ூ`abcGᡠeḄfgᙶ᪗j.ᑣ,-.☢7ᙊ19 ⚪ᑖ11ᑖ F-p#11qᦪ=/X..V ᐹᨵt▤uvwᦪ4xyz{|}"+12~t+5"=0,c^u.bḄ4z{ᙠᣚJ=x+nv.=x+&yᓄ&-----=0.
15(20)( ⚪ᑖ10ᑖ)HItZᑖ11r-sin8:1-;cos26drd6.ᐸ@D={(r.8)104r4sec80464.(21)( ⚪ᑖ10ᑖ)qಘᙠ0,1uv4ᙠ¡(0.1)ᑁ£4W)=0.¥¦t§ᙠgG(0.¨).e4J),©f'বf5AAj.
16(22)( ⚪ᑖ11ᑖ)fA1n"ஹq4=0A—\Q.b=1.J141«ឋ®¯4V=8§ᙠ2$°±Ḅa,(I)²:(II)®¯#Ḅ³a.(23)( ⚪ᑖ11ᑖ)'0-14'q/=-13a,´µ¶▣2©0^&¸g¶▣4¹Ḅº1ᑡ&a4a07Q
172009¼ᐰ¾ắÀẆÂÃᐭÅÆ#ὃÈᦪÅÉÈ⚪#ஹ⌱Ë⚪t1Ì8N⚪4ÍN⚪4ᑖ4ᐳ32ᑖ4ᑡÍN⚪ÏÐḄÑ$⌱⚗@4]ᨵ#⚗Óᔠ⚪Õ⌕4×ᡠ⌱⚗ØḄÙÚÛᙠ⚪ÜḄÝÞᑁ.(1)ᦪx)=ß/#Ḅ£àáâḄ$ᦪ4ᑣ()sinnx(A)l.(8)2.(C)3.(Q)äåæ$.(2)?xr0E4/(ç=|-51110%è8(ᐗ)=/111(1-/?ê)0zëäåN4ᑣ()a=1,/?=—.(fi)6Z=1,/?=—.(C)a=—l,b=—.(D)a=—l,b=—.6666(3)qᦪz=/(x,y)Ḅᐰìᑖ&dz=Mx+ுUy,ᑣâ(0,0)()(A)°0x,y)Ḅuvâ.(B)°0/.(x,y)Ḅâ.(C)0/(x,y)Ḅᜧâ.(D)0/(x,y)ḄNâ.(4)qᦪuv4ᑣJ¨dxJ"(x,y)cfy+ dy/'/(x,y)dx=()(A)J/xJt(B)JtðJtñ.(C)ò.()(5)¹/"(x)°Þ4xó«y=/(x)ᙠâ(1,1)Ḅó᳛ᙊ&õ2+),2=2,ᑣ“X)ᙠ(1,2)ᑁ()(A)ᨵâ4äöâ.(8)äâ4ᨵöâ.(C)ᨵâ4ᨵöâ.()äâ4äöâ.(6)qᦪy=/(x)ᙠ -1,3ḄG*&:ᑣᦪf=çḄG*&()
1807 qAஹBᙳ&2▤¶▣,A*,B*ᑖü&AஹBḄýþ¶▣¹|A|=2,|B|=3,ᑣᑖᙽ▣ḄBoj▣)035*ஹீ02B,ஹ().f[2A*0,ஹ3A*0>°3A*ஹf°2A*'(0.ফ.12B*(3B*0o>(100)(8)&A,Pᙳ3▤▣)PPḄ*+▣),P'AP=010,;02,P=Cᓃ2)«),Q=(a+a,a2,%),ᑣஹ8^:3{2(210]<110ஹ110(6).1202jஹ°o02,’20O'’100ஹ(O010(p).0202jஹ°o02,<ஹ=>⚪@9T4D⚪)ED⚪4ᑖ)ᐳ24ᑖ)GHIᫀᑏᙠI⚪MᢣOP+Q.
19x=P"e-"'dM(9)XY|J0ᙠ(0,0)ᜐḄᑗY]^y=rln(2-r2)(10)bcf+°°ef=1,ᑣk=_______________J—00(11)limfsinnxdx=_______________n-»coJ0d2yl(12)&o0)x
20(17)(⚪ᑖ10ᑖ)&z=/(x+y,x-y,))ᐸ¡,ᐹᨵ2▤¤¥¦§ᦪ)¨©ª-dxdy(18)(⚪ᑖ10ᑖ)&«¬wᦪy=y(x)(x20)®ᑖ]^¯"—y'+2=0,°XYy=y(x)±²³)ᐸ©´Yx=I¶y=0·ᡂ¹☢z»Ḅ☢¼2,½y¾¿*ᡠÁ¿*¼(19)(⚪ᑖ10ᑖ)<üᑖJJ(x-)))¶)Dᐸ¡(20)(⚪ᑖ12ᑖ)
21TT7T&p=yX:rz{D)Å:ᑁªÇ)È:ḄᐝÊXY)°-ËÌXÌ0³)XYQͪ²ᜐḄÎYϱ²)°:ÌxÌų)wᦪyx:y"+y+x=Oyx:Ḅ⊤ÑÒ21:⚪ᑖ11ᑖ:I:ÓÔᨽÖ¡}Oᳮ@;wᦪ“X:ᙠÙa,ÛQ¤¥)ᙠaÜݧ)ᑣÞᙠßÁ/à:—a:=r:Q—a:II:@;wᦪx:ᙠx=0ᜐ¤¥)ᙠ0»:àு0:ᑁݧ),lim/'x:=A,ᑣ/0:Þᙠ),ã'O:=A"1-1-1ஹ22:⚪ᑖ11ᑖ:&4=—111,0-4—2,
22I:42=)4ஹ3=Ḅᡠᨵᔣ$)åH:çI:¡Ḅͪᔣ$,å)@2ᱏ3Yឋêᐵ23:⚪ᑖ11ᑖ:&<ìí//,,ï3:="ð@+0Ìñ+0-1:4+2%%3-2%2%3I:<ìí/Ḅ▣Ḅᡠᨵᱯó}ñU:;<ìí/Ḅõ÷y@+£,Ḅ}2008øᐰúắüẆþÿᐭὃᦪ⚪
23ஹ⌱⚪18⚪⚪4ᑖᐳ32ᑖᑡ⚪Ḅ⌱⚗ ᨵ⚗ ᔠ⚪!⌕#$ᡠ⌱⚗&Ḅ'()ᙠ⚪+Ḅ,-ᑁ.(1)0/(x)=/(%-l)(x-2),ᑣ/,(X)Ḅ45ᦪ6()ভ09L(C)2(D)3(2):;<=6y=/(x)>ᦪᙠ?@ 0,BCᨵDEFᦪᑣGHᑖI'(KL()(A):MNOAB0D☢H.(8)NOAB0D☢H.(C):MQROS☢H.()QROACO☢H.(3)ᙠᑡTᑖ<= U)=q/+C2cos2x+Gsin2x(6WXYᦪ)6Z[Ḅ\()(A)y"+y--4y-4)=09y”+y+4y+4y=0(C)y"-y-4y+4y=0(£>)y'-y+4y-4y=0(5)0>ᦪ/(x)ᙠ(-8,+8)ᑁᓫbᨵcd%f6ᦪᑡᑡg⚪hiḄ\()(A)jd%fᦈl,ᑣd/*,,)fᦈl.(5)jd%“fᓫb,ᑣd/(%)fᦈl.(C)jd/(%)fᦈlᑣdpfᦈl.()jd/*.)fᓫbᑣdqfᦈl.(6)0>ᦪ/DEjr(#)=|W+)")dMy,ᐸ ?v036w ▢yzᑖᑣ{=DE+y2F(A)vf(u2)(5)-/(w2)|U(c)vf(u)(D)-f(u)r"2u9+r1\(7)0A6”▤4▣E6▤ᓫ▣.j4=0,ᑣ()/~~OX(A)E—S⌮E+A⌮.(8)E—A⌮E+A⌮.(C)E—A⌮E+A⌮.(O)E—A⌮E+A⌮.(12ஹ(8)04=ᑣᙠᦪvCAᔠḄ▣6()21
24ஹ)⚪9-14⚪⚪4ᑖᐳ24ᑖᫀᑏᙠ⚪ᢣGC.(9)>ᦪ/(x)DElim'cos®(ᑘ=],ᑣ/(())=____.-0(e*-1)/(%)(10)Tᑖ<=(>+%2"")£¤=0ḄZ[\>=.(11):;sin(§)+ln(y—x)=xᙠ5(0,1)ᜐḄᑗ;<=62(12):;y=(x-5)ᡝḄ®5ᙶ᪗6.(ব0H.ᑣ³´(14)03▤▣AḄᱯ¸¹62,34.jºᑡ»12Al=-48,ᑣ4=—Qஹ[⚪15—23⚪ᐳ94ᑖ.[ᑏᙠ⚪ᢣGC.[¼ᑏᦻ'¾¿ஹÀ¿Á=ᡈÃÄÅÆ.[sinx-sin(sinx)]sinx(15)(Ç⚪Èᑖ9ᑖ)#▲limx->0x4(16)(Ç⚪Èᑖ10ᑖ)JC2|—~2te~=0dy0>ᦪy=y(x)ᵫÎᦪ<=(1+Ö×_=0%
25•Ixarcsinx,(17)(Ç⚪Èᑖ9ᑖ)#Hᑖ—,ax.0(18)(Ç⚪Èᑖ11ᑖ)#ÞHᑖ||max(iy,l)dxdy,ᐸ £)={(x,y)[0ᦪ/(0)=1.åWXḄfe[0,+8),æ;x=0,x=f,:;y=/(x)UçxèᡠéᡂḄ:MNOëxèìíᕜïᡂìíð.jñìíðḄò☢Hᙠᦪ¹
26CóôᐸðHḄ2õ#>ᦪ/(x)Ḅ⊤÷».(20)(Ç⚪Èᑖ11ᑖ)(1)À¿Hᑖ ¹Gᳮj>ᦪ/(x)ᙠù?@ÖCDEᑣúûüᙠ56[,ᑗýþrbp3[/(x)£=/()(—a)ফ ᦪ°(x)ᐹᨵ▤ᦪ(2)>প,(2)>f(p(x)dx,ᙠJaJ2(1,3),“@<0(21)( ⚪ᑖ11ᑖ)ᦪ=V+>2+/ᙠ$%ᩩ'Z=f+y2(x+y+z=4)Ḅᨬᜧ-.ᨬ/-.
27(22)( ⚪ᑖ12ᑖ)2a1ஹ45▣A=0,85▣A9:AX=B,ᐸ>X=(x”…,J,8=(1,0,…,0),ஹ6r2F.(1)G=(+1””I(2)JK-9:LᨵMNO᳝I(3)JK-9:LᨵRSTNOUN.(23)( ⚪ᑖ10ᑖ)4AJ3▤5▣J4ḄᑖWXYᱯ[--1]ᱯ[ᔣ_ᔣ_%A%=2+3(1)a,23bឋRᐵ;
28(2)fg=g-AP.2007hᐰjắlẆnoᐭqrὃtᦪqt⚪ஹ⌱v⚪w1K10/⚪x/⚪4ᑖᐳ40ᑖ.ᙠx/⚪z{Ḅ|}⌱⚗>ᨵ⚗ᔠ⚪⌕ᡠ⌱⚗Ḅᙠ⚪Ḅᑁ.(1)xf0+.ḄRS/_
291+x(A)l-e"(B)In(C)+y[x—1(D)1—COS'J~X]1—y/x(2)ᦪ/(x)=4ᓧᳮ¢ᙠ[-¤,¥¦Ḅ§¨©ª«=[]xex-ek7171(A)0(B)1(C)——(D)—22(3)®¯°ᦪy=/(x)ᙠ²©[-3,-2],[2,3]¦Ḅ®³ᑖW´µJ1Ḅ¦ஹ)¶ᙊᕜᙠ²©[-2,0],[0,2](4)4ᦪ/(x)ᙠx=0ᜐ¯°)ᑡ»⚪┯½Ḅw(A) ᙠᑣ/(0)=0(B) limÁ/¦Âᙠᑣ/(0)=0.x->0%XTOx(C) lim/^ᙠᑣ/'(0)=0(D) lim'(x)(r)ᙠ,ᑣÆÇXx->0%[](5)Éb>=,+11(1+6*)ḄÍÎbḄᩩᦪJ1(A)0.(B)1.(C)2.(D)3.[](6)4ᦪ/(x)ᙠ(0,+8)¦ᐹᨵ▤ᦪ/"(x)>0,f%,=/()ᑣ)ᑡÏÐÑÒḄ:(A) %>2ᑣÔ4ÕÖᦈØ.(B) %>ḄᑣÔ“ÕÖÙᦣ(0L/<%ᑣÔ“ÕÖᦈØ.Û /<ḄᑣÔ.ÕÖÙᦣ.[](7)ᐗᦪ/(x,y)ᙠ(0,0)ᜐßàḄ}ᐙ⌕ᩩ'[](A)limff(x,y)-f(O,O)]^O.(ᑁ)T(0,0)L]
30(B)]èé°)Ỿ/(°'/ìÂ=0.x->0,v->0y(C)lim/ᔆî.(x.y)-^O.O)J2+y2x(D)lim[/(x,0)-fO(0,0)]=0,lim(0,y)-fP(0,0)]=0.v(8)4ᦪ/(x,y)¯°ᑣðñᑖ/(x,y)dyYJ—Jsinx(A)fdyä/(x,y)dxÛfdyä./(x,y)drJOJ”+arcsinyJOJ^-arcsinypIfæ+arc$iny^-arc$iny(C)[dyLf(x,y)dxWQf(x,y)dx22(9)4ᔣ_L4,23bឋRᐵᑣ)ᑡᔣ_LbឋòᐵḄbឋòᐵᑣ(A)ax-a2,a1—a3,ai-ay(B)ai+a2,a2+a3,a3+a.(C)/2a2%—2%,a,—2al.(D)a+2a,a+2a,a+2a.]2233t'2-1-r'100ஹ(10)45▣A=-12-1,B=010,ᑣA.8ஹ1-12)ஹ000,(A)ᔠGòó(B)ᔠGõôòó.(C)ôᔠGõòó.(D)öôᔠGÂôòó[]ஹ÷⚪w11ø16/⚪x/⚪4ᑖᐳ24ᑖ.ùᫀᙠ⚪>ûb¦.,ஹarctanx-sinx(11)hm---------------------=___________.iox~2(12)(*=cost+cos-'=£ḄᜐḄ᳛ ________.y=1+sinr4(13)#$ᦪy=—,ᑣ((0)=_______.2x+3(14)+▤-.ᦪ/012ᑖ45y"-4y'+3y=2e2xḄ67 y=(15)#8+ᐗ:2$ᦪ;z=f;ᑣx<==(xy)dxdy‘0100ஹ0010(16)#A▣A=ᑣḄD 0001ஹ0000,Eஹ7F⚪H17I24J⚪;ᐳ86ᑖ.7FᑏMᦻOPQஹRQS5ᡈUVWX.
317T(17)([⚪\ᑖ10ᑖ)#/(x)8^_0,-ᓫaஹ:bḄ$ᦪ'c\dC4e”4ᐸh/T8/Ḅj$ᦪ;k/(X).(18)([⚪\ᑖ11ᑖ)X#8oy=&-%(aுl,04x<+oo)v4ஹxw4Ḅxy^z.(I)k^z|xw}~=ᕜᡠᡂ}~ḄK(a)(II) ;V(a)ᨬJkᨬJ.(19)([⚪\ᑖ10ᑖ)k2ᑖ45);"(x+y'2)=y’\dᩩy(l)=y'(l)=lḄᱯ7.
32(20)([⚪\ᑖ11ᑖ)$ᦪ/()ᐹᨵ+▤bᦪ;c/'(0)=1,$ᦪy=y(x)ᵫ45y—xe'T=1ᡠ,dzd2z#z=/(lny-sinx),k¢x=0.(21)([⚪\ᑖ11ᑖ)#$ᦪ/(x),g(¤)ᙠ:¦§;ᙠ¨©)ᑁᐹᨵ+▤bᦪc«ᙠ¬Ḅᨬᜧ,f\a)=g(a),f(b)=g(b),RQH«ᙠ¯Qb),²³/C)=g"G).lxl+lyl33(23)([⚪\ᑖ11ᑖ)%1+x+x=023#ឋ45½¾%1+2X+ax=Q¿45À+2+Â=-1ᨵÃᐳ7;kaḄÄᡠᨵÃᐳ7.2y%+4X+a2x=023(24)([⚪\ᑖ11ᑖ)#E▤ÅA▣AḄᱯÆᔣÈ4=1,4=2,4=-2,4=(1,—IJ)18AḄÊ4Ḅ=ËᱯÆᔣÈ;ÌJ8=A5-4A3+£,ᐸhE 3▤ᓫoA▣.(I)ÎRÏ8A▣8ḄᱯÆᔣÈ;k8ḄᐰÑᱯÆ¿ᱯÆᔣÈ(II)kA▣8.
342006ÒᐰÓắÕẆ×ØᐭÚÛ=ὃÝᦪÚ+Ý⚪=ஹÞß⚪H1=6J⚪;áJ⚪4ᑖ;ᐳ24ᑖ.âFᫀÞᙠ⚪hä.Y4-4qinx(1)y=…æḄçèéê45 5x-2cosx1rA.2J(2)#$ᦪ/(x)=vdJosmfᙠï=0ᜐ¦§;ðij=Q,X=0f-KOxdx(3)óôᑖJo(0)2õ4ö2ᑖ45>'=ø+»Ḅ678X
35(5)#$ᦪy=y(x)ᵫ45y=l-xe';ᑣ—L=_____=odr(2(6)#A▣A=E 2▤ᓫoA▣;A▣8\dû4=B+2E,ᑣ1-12)ý|=---------+ஹ⌱ÿ⚪7—14⚪⚪4ᑖᐳ32ᑖ.⚪Ḅ⌱⚗ᨵ⚗ᔠ⚪ ⌕ ᡠ⌱⚗!Ḅ"#$ᙠ⚪&Ḅ'(ᑁ.(7),-ᦪy=/(x)ᐹᨵ4▤6ᦪ7/'(x)>0,/"(x)>0,Ar?@ABxᙠCDᜐḄFBAyGdyᑖI?/(X)ᙠCGᜐKLḄFBGMᑖNAx>0,OP](A)036(B)N'(%,%)=(),ᑣ/(Xo%)wO.(c)N£(%,%)#0,ᑣ/(%,%)=o.(D)N//(,%)0ᑣ/0.(13),%ᙳ?ᑡᔣBA?x▣ᑡ⌱⚗ḄW[](A)Na”D,…,¡¢ឋ¤ᐵOiJAa-Aa2,…,Aa,¢ឋ¤ᐵ.(B)N¡¢ឋ¤ᐵᑣAcn,ACX…,Aa.,¢ឋ¦ᐵ.t2(C)N…,¢ឋ¦ᐵᑣ…,©¢ឋ¤ᐵ.(D)Na”D,§¢ឋ¦ᐵᑣAcx,ACC>,,,»Aa,¢ឋ¦ᐵ.i2‘110ஹ(14),A?3▤▣ᨴḄ^2¯°ᑮ^1¯²8,³8Ḅ^1ᑡḄ—1´°ᑮ^2ᑡ²C,µ¶=010ஹobᑣ(A)C^P'AP.(B)C=PAP-1.(C)C=P7P.(D)C=PAPy.[]¸ஹ¹º⚪15—23⚪ᐳ94ᑖ.¹ºLᑏᦻ"¾¿ஹÀ¿ÁyᡈÃÄÅÆ.(15)(Ç⚪vᑖ10ᑖ)ÈÉA,&CḄʲe*(l++ex?)=1+Ax+o(d),ᐸ(/)WÍxf0ÏÐ/Ñ▤Ḅ¦Ò.(16)(Ç⚪vᑖ10ᑖ) [arCS^edx.Je'
37Ö17×ÖÇ⚪vᑖ10ᑖ×,ØÙ£Ú=ÛÖÜ,××,2+ு2§1,X20ÞßÄ4àáᑖdxdy.1+x'+yÖ18×ÖÇ⚪vᑖ12ᑖ×,ᦪᑡÛx“ãvw0ä᳝äæ,Í+1=sinx“Ö=l,2,…×1KX,ÖI×À¿limx.éᙠê ë▲ÖII×ßÄlimoOf8
38(19)(Ç⚪vᑖ10ᑖ)À¿ÍæÏ/?sin/?+2cos/7+>Qsin+2cos.(20)(Ç⚪vᑖ12ᑖ)vwoî+!^=0.,-ᦪ/()ᙠ(0,+oo)ᑁᐹᨵ4▤6ᦪ7Z=/("(I)ñÀ/"ò)+^=0U(II)N/(1)=0,ó(1)=1, -ᦪ/()Ḅ⊤õî.
39(21)(Ç⚪vᑖ12ᑖ)X=ó+1ö¢/Ḅxy1-”20)(I)÷ø/Ḅùúឋ(H)ÁC(—1,0)üᐭḄᑗ¢ ᑗC(ᵨ,),y=At-1ᑏᑗḄ(IH)ᑗ/(x«xoḄᑖ) x ᡠ ᡂḄ!☢#$Ḅ☢%.(22)((⚪*ᑖ9ᑖ),-./0ឋ2x+x+x+x--1l2i4<4ᧅ+3+5<3-/=-1ᨵ3?ឋ@ᐵḄB.(I)CD2EᦪG▣AḄJr(A)=2(H)ax+x+3X+bx=1t234a,bḄN 2ḄOB.(23)((⚪*ᑖ9ᑖ)P3▤RSG▣AḄᔜUᐗWXYᙳ[3,ᔣ]/=(-1,2,-1)\2=(0,-1,1abឋ2c=0Ḅd?B.(I)AḄᱯfNᱯfᔣ](II)ghG▣YiG▣A,jklAQ=A.
402005nᐰpắrẆtuᐭwxyὃ{ᦪw|{⚪|ஹ~⚪((⚪ᐳ6⚪l⚪4ᑖl*ᑖ24ᑖ.ᫀ~ᙠ⚪)(1)Py=(l+sinx)”,ᑣdy=.3(2)=tyḄ[.বf_xdx=(4)ᑖ'+2)l=xInx*y(l)=-¡ḄB[.(5)¢x-»O¥la(x)=kx)P(x)=Jl+xarcsinx-Jcosxb©ª@«,ᑣk=.(6)P%,2l3ᙳ[3®ᑡᔣ]l°G▣A-(a,a,a,),B=(a,+a+a,a,+2a+4ar,a+3«+9%),)223232²³=1,´µ¶=.|ஹ⌱¸⚪((⚪ᐳ8⚪l⚪4ᑖl*ᑖ32ᑖ.⚪ºḄ»?⌱⚗l½ᨵy⚗¾ᔠ⚪À⌕lᡠ⌱⚗ÂḄÃÄ~ᙠ⚪ÅḄÆÇᑁ)(7)PÊᦪ/(x)=+ᑣf(x)ᙠ(-oo,+8)ᑁ[]n—>aoV
41(A)ᜐᜐÑÒ.(B)ាᨵy?ÕÑÒÖ.(0ាᨵd?ÕÑÒÖ.(D)ØÙᨵÚ?ÕÑÒÖ.(8)PF(PbÜÝÊᦪf(ᦪḄy?ÞÊᦪ,"MON"⊤à"MḄᐙᑖä⌕ᩩæbN"lᑣäᨵ[](A)F(x)bᏔÊᦪOf(x)bÊᦪ.(B)F(x)bÊᦪ=f(x)bᏔÊᦪ.(0F(x)bᕜëÊᦪof(x)bᕜëÊᦪ.(D)F(x)bᓫíÊᦪOf(x)bᓫíÊᦪ.x=î+2((9)PÊᦪy=y(x)ᵫðᦪñ'òólᑣôy(x)ᙠx=3ᜐḄõx hÖḄᙶ᪗b[]y=ln(l+1)(A)-ln2+3.(B)--ln2+3.88(0-81n2+3.(D)81n2+3.(10)PøùP={(x,y)|x2+y2<4,x>0,y>0}f(x)[DḄgNÜÝÊᦪla,b[úᦪlᑣUGWI]ab(C)(Q+/?).(D)ø;■þ(A)ab/r.(B)y71(11)PÊᦪ())=0+)+*0-))+['“)ᐸᦪᐹᨵ▤ᦪᐹᨵ▤ᦪᑣ ᨵJx-y2222222Aஹdudu/ ஹdu!dudududuA)—=——(B)^=—,(0——=-.(D)——dx2dy2dx2dydxdydydxdydx~(12)+ᦪ/(x)=——,ᑣ[]ex~'-1(A)x=0,x=l/0f(x)Ḅ34567.(B)x=0,x=l/0f(x)Ḅ34567.(0x=00f(x)Ḅ34567x=l0f(x)Ḅ34567.(D)x=00f(x)Ḅ34567x=l0f(x)Ḅ34567.(13)+4,:0;▣AḄ=>?@ḄᱯBC,DEḄᱯBᔣGᑖIJ%,ᑣ%,4(%+2)LឋNᐵḄᐙᑖ ⌕ᩩS0[](A)4Ho.(B)20.(C)4=0.(D)Z=0.22(14)+AJn(U2)▤V⌮;▣XᣚAḄ31Z[32Z\;▣B,ᑖIJA,BḄ]^;▣ᑣ[](0XᣚA*Ḅ31ᑡ[32ᑡ\5*.(B)XᣚA'Ḅ31Z[32Z\5*.
42(0XᣚA*Ḅ31ᑡ[32ᑡ\3".(D)XᣚA*Ḅ31Z[32Z\—8*.cஹde⚪(g⚪ᐳ9!⚪jᑖ94ᑖ.deEᑏlᦻnopஹqprsᡈuvwx.)(15)(g⚪jᑖ11ᑖ)+ᦪf(x)yz{/(0)#0,}▲lim-------------.">0x/(xT)(16)(g⚪jᑖ11ᑖ)GᑖI0y=(i+/)y=/Ḅr7(o,DḄ¡LG0ᓫ®ᦪḄ.r27M(x,y)ᑖIᚖXyḄL4¯GC2[ᡠḄ☢JS,(x)23[lyᡠḄ☢Js2(y).°ᨵS,(x)=S(y),}¡LC3Ḅ£sx=e(y).2(17)(g⚪jᑖ11ᑖ)¡LCḄ£sJy=f(x),7ব2)0§Ḅ>¨7L©[1ᑖI0¡2LCᙠ7(0,0)[ব2)ᜐḄᑗL,ᐸX7J(2,4).+ᦪf(x)ᐹᨵc▤yzᦪ±
43v²ᑖ+x)/”(x)dx.(18)(g⚪jᑖ12ᑖ)ᵨ¶G·ᣚX=cos(044(I)ÇᙠJe(O,l),Ê\ËÌ)=1—(H)Çᙠ=>?@Ḅ7ீ€(0,1),Ê\:()/'<)=L(20)(g⚪jᑖ10ᑖ)ÁÂᦪz=f(x,y)Ḅᐰ½ᑖdz=2xdx-2ydy,¿{f(1,1,)=2.}f(x,y)ᙠÓᙊÕ={(x,y)F+£41}ḄᨬᜧCᨬ!C.4(21)(g⚪jᑖ9ᑖ)±vÜᑖJJN+y2_ßᐸo={(X,,)|o45á22âág⚪jᑖ9ᑖâã²äᦪa,ÊᔣGæ%=á1,1,ç&2=á1,,1âéê=á11çVᵫᔣGæì=ál,l,aâT,⁐=á—2,a,4âT,ç3=Lឋ⊤ïðᔣGæñ,22/3?òᵫᔣGæ%%%Lឋ⊤ï á23âág⚪jᑖ9ᑖâ123ÁÂ3▤;▣AḄ3Z0á,4câ,a,,c?ᐰJó;▣8=246ákJäᦪâ{AB=O,}Lឋ£36k
46sæAx=OḄõd.2004öᐰ÷ắùẆûüᐭþÿ ὃᦪ⚪⚪(⚪ᐳ6⚪⚪4ᑖᑖ24ᑖ.ᫀᙠ⚪ .) f[x)=lim”&ᑣ/(x)Ḅ+,-.x(1)T8"%+1X=f3+3f+1…(2) 5ᦪy(x)ᵫ8ᦪ9:,@A,ᑣDy=y(x)ᔣ FḄxGHJ.y=P-3/+1+8dx(3)1xy/x2-1N!13ᒹ+ᒹ(4) 5ᦪz=z(x,y)ᵫ9:z=e2A3z+2y@A,dxdyRᑖ9:()+/)S—2xdy=0W=|ḄᱯZ.(5)10ஹ(6) [▣A120,[▣5WABA*=2A4*+E,ᐸA*.AḄbc[▣Edᓫf[▣ᑣ,00\B\=.⌱h⚪(⚪ᐳ8⚪⚪4ᑖᑖ32ᑖ.⚪ijḄkl⌱⚗nᨵ ⚗pᔠ⚪r⌕tᡠ⌱⚗vḄwxᙠ⚪yḄz{ᑁ.)(7)x-0+~Ḅa=(cos/p=Jtany/tdt,7=JsinPᑡᩭᙠy☢Ḅdv lḄ▤ᑣ@Ḅᑡd[](A)aXy.(B)a,y,f3.
47(C)B,a.(D)(3./,a.(8) x)=k(l—x)[,N](A)x=0d/(x)ḄH-(0,0)dDy=/(x)Ḅ-.(B)x=0d/(x)ḄH-(0,0)dDy=/(x)Ḅ-.(C)x=0d/(x)ḄH-(0,0)dDy=/(x)Ḅ-.(D)x=0d/(x)ḄH-(0,0)¡dDy=/(x)Ḅ-.(9)limlnj(l+)2(l+2)2...(i+¤¥¦§[]“is
48nn(A)In2xdx.(B)2jlnxdx.(C)2j-ln(l+x)0,ᑣ¯ᙠ3ு0,±[](A)/(²)ᙠ(0,5)ᑁᓫ³´µ.(B)/(x)ᙠ(3,0)ᑁᓫ³¶.(C)·¸¹Ḅxe(0,b)ᨵ/(x)>/(0).(D)·¸¹Ḅxe(—5,0)ᨵ/(x)ு/(0).(11)Rᑖ9:»"+)=*2+1+411¼ḄᱯZ½¾¿ .[](A)=ax++c+x(Asinx+Bcosx).(B)y*=x(ax+/?x+c+Asinx+Bcosx).(C)y*=ax+/?x+c+Asinx.(D)y*=ax+x+c+Acosx
49(12) 5ᦪ73)«¬ÁÂZ)={(x,y)|x2+y242)},ᑣJJ7(xy)dxdy¦§ÆÇDভÉ~”)(ÊG(B)2jdyj"rf(xy)dx.rnË2sin6?oÌÌ(C)j()deÇ/(fsin^cos0)dr.(D)JdeÇ/(r~sin^cos0)rdr(13) Ad3▤9▣ÐAḄÑ1ᑡÒÑ2ᑡÓᣚ±3,Õ3ḄÑ2ᑡµᑮÑ3ᑡ±C,ᑣWAQ=CḄ¿⌮[▣°.ÆÇ’010ஹ(A)100J°L'010ஹ(C)100ஹ01L(14) A,B.WA3=0Ḅ¸¹ÜlÝÞ[▣ᑣßᨵ|1(A)AḄᑡᔣàឋâᐵ5Ḅäᔣàឋâᐵ.(B)AḄᑡᔣàឋâᐵ5Ḅᑡᔣàឋâᐵ.(C)AḄäᔣàឋâᐵ8Ḅäᔣàឋâᐵ.(D)AḄäᔣàឋâᐵ5Ḅᑡᔣàឋâᐵ.å.Z⚪(⚪ᐳ9⚪ᑖ94ᑖ.Zæᑏjᦻwéêஹëêì:ᡈîïðñ.)(15)(⚪ᑖ10ᑖ)t▲lim-^f+cosx] 113J
50(16)(⚪ᑖ10ᑖ) 5ᦪ/(x)ᙠ(-8,+00) ᨵAóᙠÁ+Æ0,2Ç /(x)=x(x2—4),ô·¸¹ḄXõW/(x)=k/(x+2),ᐸ.÷ᦪ.(I)ᑏj/(x)ᙠÆ-2,0Ç Ḅ⊤ù¾ú(H)üý.þH~,/(x)ᙠx=0ᜐ .(17)(⚪ᑖ11ᑖ)n/(x)=J:ᧅsin(I)/(x) ᕜḄᕜ"ᦪ$(II)%/(x)Ḅ&'.
51(18)(⚪ᑖ12ᑖ)*+y=e$1./+0=0,0=/«>0)56=07ᡂ9*:;<.=*:;<>x?@A9ᕜB9@AC,ᐸCE V8),G☢E SQ),ᙠx=fᜐḄN☢E Oপ.(I)%QḄ&$(II)RS▲lim—+8F(f)4(19)(⚪ᑖ12ᑖ)e=(0-a).
52(20)(⚪ᑖ11ᑖ)abcdᙠdefgh, ijklmno,ᙠpᙢḄrscdtuvwjxy zᜧ|}cd~xjxᩭ.ᨵ9 900()Ḅcd,Ḽ▮hḄx 7000//?.,jxyᡭwcdᡠḄ|.cdḄxᡂ(ᦪ =6.0xl()6).Ḽ▮ScdlmḄᨬno¡¢£¤¥⊤§ᓟ©ª?/⊤§ᓟ«/kh.(21)(⚪ᑖ10ᑖ)\=/(/—),2,1)ᐸ/ᐹᨵ¯°±▤³ᦪ%´ᔠ¶dxdydxdy
53(22)(⚪ᑖ9ᑖ)ᨵ·¸+ឋº»¼(1+a)x+x+x+x=0,x2342%4-(2+a)x+2X+2x=0,V2343᳝+3X+(3+0)X3+3X=0,244xj+4X+4X+(4+)=0,23ÀÁ&h=º»¼ᨵÂÃÄ%QᐸÅÄ.
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552003×ᐰÙắÛẆÝÞᐭàá9ὃᦪà±⚪ãä⚪(⚪ᐳ6k⚪æk⚪4ᑖᑖ24ᑖ.çèᫀãᙠ⚪ê+ë)(1)ìX—>0h(\-ax~y-1.xsinxîïðñkᑣa=.(2)"ᦪy=f(x)ᵫº»xy+21nx=y4ᡠôõᑣ*+y=f(x)ᙠ(1,1)ᜐḄᑗ+º».(3)y=2,Ḅø©ùûüx"⚗Ḅᦪ.(4)*+Ḅᙶ᪗=e"'(a>0),ᑣᑮ27Ḅ !"$ᡠ&ᡂḄ()Ḅ☢+.-1-11'(5)0a32ᑡᔣ56a67aḄ89.:=-11-1,;U1-11a'a=.-10rয0?▤▣A,BDE—A—B=E6ᐸIE?▤ᓫKL▣6:A=020,ᑣM|=.-201Oஹ⌱R⚪(T⚪ᐳ6W⚪6XW⚪4ᑖ6Dᑖ24ᑖ.XW⚪[\Ḅ]^⌱⚗I6`ᨵ ⚗bᔠ⚪d⌕f6gᡠ⌱⚗hḄijkᙠ⚪mḄnoᑁ)(1)0q“s,q,s,q”sᙳvwᦪᑡ6y\11“=0,᳝1){=1,1101%=8,ᑣ~ᨵ[]n->33n—>QOn—>QO(A)a5633(0(l+e-')2+1.(D)(1+e)2-1.]xO2+9("Ḅ¢6ᑣ("Ḅ⊤¤¥[](3)y 7ᑖீOInx¦yy2ᔣy2(A)\D).XX(0 o(D)-46y-y(4)0§ᦪf(x)ᙠ(-00,+8)ᑁ©ª6ᐸ«§ᦪḄ()(ᡠ6ᑣf(x)ᨵ[](A) ^W®¯°±^ᜧ®¯.(B)±^W®¯° ^ᜧ®¯.(0±^W®¯°±^ᜧ®¯.(D)?^W®¯° ^ᜧ®¯(A)³1>/>1.(B)1>/,>I.22(C)/>/,>1.(D)1>/>/,.22(6)0ᔣ5µI¶%,a?,…,%¹ᵫᔣ5µII¶4,⁐,…,¼ឋ⊤,ᑣ[](A)¾rsÁ6ᔣ5µI~ឋᐵ.?ஹ(T⚪Dᑖ10ᑖ)ln(l+axy)x<0,x-arcsinx0§ᦪf(x)=<6,x=0,e“'+ctx1x>0,.xxsin—I4ÅaÆ®Á6f(x)ᙠx=0ᜐ©ª³aÆ®Á,x=07f(x)Ḅ¹ÈÉʯË
57]ஹÌT⚪Dᑖ9ᑖÍx=1+2f2’d2V0§ᦪy=yÌxÍᵫÎᦪ/i+2in³eu>1)ᡠÓÒ6fT.f2y=[—■dudx6=9U“carctanx[ߟ----[dx.ÏஹÌT⚪Dᑖ9ᑖÍÐÑÒ+ᑖ.(1+x2)^
58Öஹ(T⚪Dᑖ12ᑖ)0§ᦪy=y(x)ᙠ(-oo,+oo)ᑁᐹᨵO▤«ᦪ6yy'W0,x=x(y)7y=y(x)Ḅاᦪ.421(1)ÙÚÛ=Û«)ᡠDEḄᑖÝ+()6+01%)(Þ)3=0ᣚà=à(áDEḄᑖ;1cly-dy3(2)fᣚmḄᑖDEãäᩩæç0)=0,y'(0)=|Ḅ¢.èஹ(T⚪Dᑖ12ᑖ)éêy=41nx+k"y=4x+ln4xḄë¯^ᦪ.
59ìஹ(T⚪Dᑖ12ᑖ)J?10Kî ï▲Ḅy=f(x)ð¯(ñ,]),ᐸ ¯P(x,y)ᜐḄó"y$Ḅë¯Q,yPQõx$öᑖ.(1)fy=f(x)Ḅ;(2)à=51”ᙠ[0,÷Ḅ!ø/,Ùᵨ/⊤y=f(x)Ḅ!øs.úஹ(T⚪Dᑖ10ᑖ)ᨵ öûüᘤ6ᐸᑁþÿ ᵫx=9(y)(yZ0)yᡂḄ☢()ᘤḄ☢ᙊḄ 2m.᪷#$%⌕'()3n?/minḄ/᳛ᔣᘤᑁ3ᐭ5675☢Ḅ☢89):/Ḅ/᳛ᙳᒴᜧ(Ꮇ/min$3ᐭ56@ᘤᑁA56).(1)᪷#t7D5☢Ḅ☢8ᑏFtG(y)IJḄᐵLMNফ'x=Q(y)ḄQR.(3Sm⊤UVWᓫYZmin⊤U7JᓫYᑖ.)
60ᓝஹ(^⚪`ᑖ10ᑖ)$aᦪf(x)ᙠefJga,bklmnᙠofJ(a,b)ᑁpqrs▲lim"2x-a)vᙠ,wxSxMx—a(1)ᙠ(a,b)ᑁf(x)>0;(2)ᙠ(a,b)ᑁvᙠ{|‘=~=;£f(x)dx/©(3)ᙠ(a,b)ᑁvᙠGফJḄ{|/'()(2
61ᓝ—*ஹ^⚪`ᑖ10ᑖ220s▣A=82a▣A,ᦪaḄN'p⌮▣P|P7AP=A.006
62ᓝ~ஹ^⚪`ᑖ8ᑖ☢lᩩ¡ḄQRᑖ¢ £Sax+2by+3c=0,l:bx+2cy+3a=0,Z:cx+2ay+3b=0.23w¤ᩩ¡¥{Ḅᐙᑖ§⌕ᩩ¨ a+b+c=O.2002©ᐰ«ắẆ¯°ᐭ±²ὃᦪ±~⚪ஹ´µ⚪^⚪ᐳ5⚪,·⚪3ᑖ`ᑖ15ᑖ¸¹<01.$aᦪ/%=»&½NS/¾ᙠx=0ᜐmnᑣ=).[ae2xx<02.Yy=xe-*0632.aᦪ/(x)mnᑣÁᑡaᦪ§ ᏔaᦪḄ (A)JN/à)áN(B)J/ãáN(Q[>"()-/(-çáN(D)[+J0JO3.$y=/(x) ~▤LᦪìᑖQR/+py'+qy=`ÄÅÆᩩ¨y(0)=y'(0)=0ḄᱯÉᑣ▲linJnU+x)1y(x)(A)vᙠN(B)î1N(Qî2N(D)î3.4.$aᦪᙠR+lᨵÂrpqᑣ(A)(limf(x)=07§ᨵlimfr(x)=0NXf+00XT+00(B)(limfr(x)vᙠ7,§ᨵlimfr(x)=0NXT+COXf+0+XTO+(D)(lim/'(x)vᙠ7§ᨵlim/'(x)=0.x->0+XTO+5.$ᔣÓ÷%,%ឋAᐵᔣÓ4pᵫø,%3ឋ⊤UᔣÓ¸2ùᵫឋ⊤Uᑣúûᦪl§ᨵ(A)%,02£3£1+2ឋAᐵNþ+2ឋᐵN(C)%,2£3,2I+62ឋᐵ(D)%,223,+ᦇ2ឋᐵ.ஹ(⚪ᑖ6ᑖ) Ḅᙶ᪗#$%/'=1-COS®,/0 123=/ᜐḄᑗ78Ḅ9:ᙶ᪗#$.2x+y—1«x<0;ஹ(⚪ᑖ7ᑖ)=>ᦪy=/(%)=Q/>ᦪ"X)=JJ/(f)LḄ⊤NO.<%<1("+1)2
64Pஹ(⚪ᑖ7ᑖ) >ᦪ/(x)ᙠR+STU/(x)>0,lim/(x)=l,Z[hm(------=e',//(x).2°fM]ஹ(⚪ᑖ7ᑖ)/^ᑖ#$xdy+(x-2y)dx=0Ḅ`aby=y(x),cdᵫ y=y(x)79x=l,x=2fgxhᡠjᡂḄl☢nopxhqr`ᕜḄqrtḄtuᨬw.xஹ(⚪ᑖ7ᑖ)yz{Ḅo|7ᜧwnᡠᐸ9/%1hz{ḄS%oABCD,ᵫ 7ABᡠjᡂ.☢7z{ḄSlcz{oᑖ7Ḅ7z{Ḅ%5J4,z{oᑖḄ2%ஹ(⚪ᑖ8ᑖ)=065ªஹ«⚪ᑖ8ᑖ¬=L0,¡¢®¯OJ.,°`lna±²ct~+b~b—aJabᓝஹ«⚪ᑖ8ᑖ¬=>ᦪ/«x¬ᙠx=0Ḅy´µᐹᨵ▤¹ºUᦪZ¡¢J§ᙠ»`Ḅ`¼½ᦪa,O,C,cd,qf(h)+bf(2h)+cf(3h)-/(0)=o(/z2).ᓝ`ஹ«⚪ᑖ6ᑖ¬ A,B%▤#▣Z[24`Â=8-4£J.প¡¢J▣L—2ET⌮‘1-20ஹফÉ8=120,/▣A.ஹ002,
66ᓝஹ«⚪ᑖ6ᑖ¬ ;▤#▣4=ᙳ%;ËᑡᔣÍᐸឋᐵ%=2%-3 É/?=%+%+3+%/ឋ#$¼AX=/?ḄÏb.2001ÐᐰÒắÔẆÖ×ᐭÙÚ`ὃÜᦪÙ«¬Ü⚪`ஹÝÞ⚪«⚪ᐳ5w⚪,àw⚪3ᑖᑖ15ᑖ¬_,3—x—Jl+xஹ1>lim--------------=«¬.ex+x-22ஹ e2Ay—cos8¬=e—1ᙠå«0,1¬ᜐḄᑗ#$%J«).3ஹj\(x3+sin2x)cos2xdx=().4ஹ^ᑖ#$é01^^ë+1==1[>6¬=0Ḅᱯb%J«).Vl-x2/a11î~]ðஹ5ஹ#$¼1aIx-Iᨵñbᑣ=«).21aJ\x3 I-2,ஹᓫ⚗⌱÷⚪«⚪ᐳ5w⚪,àw⚪3ᑖᑖ15ᑖ.[1X<11ஹx)=c1ᑣ/{/"(x)]}=0x>1
672ஹx-0«l-cos¬ln«l+¬ûxsinx”▤Ḅñwýᑍsinxû▤ḄñwᑣÿᦪA1B2C3D4.3ஹy=X-1X-3Ḅ Ḅ ᦪ A0B1C2D3.4ஹ!ᦪ/Xᙠ$%1-6,1+6ᑁ*▤,-.f\4/0ᓫ234.5X6=/প=1,ᑣAᙠ1-6,191,1+8ᑁᙳᨵ/xxCᙠ1-6,1ᑁᨵ/xXDᙠ1-6,1ᑁᨵ/x>@.ᙠ1,1+6ᑁᨵ/X\C]yMஹN⚪Pᑖ6ᑖRf-------TJ2T2+1J1+\
68•x]ஹ(N⚪Pᑖ7ᑖ)R!ᦪ/(x)=lim(d)efḄ⊤hi.jᢣl!ᦪ/(x)Ḅ%m nᐸpq.fsinxtஹ(N⚪Pᑖ7ᑖ)B=p(x)wxᱥy=y[xz{|J M()(x>1)ᜐḄ᳛.s-s(x)wxᱥz A(1,1)M%Ḅ.32J()Ḅ(᳛K=—ஹ).ds2ds(l+y'2/ஹ(N⚪Pᑖ7ᑖ)/(x)ᙠ[0,+8),-./(0)=0,5ᐸ!ᦪ g(x).,R/(X).
69ஹ(N⚪Pᑖ7ᑖ)B!ᦪx),g(x)P:(x)=g(x),g'(x)=2"—“x)5)=.g(0)=2,RJ.ஹ(N⚪Pᑖ9ᑖ)BL J☢.ᐸz{| P(x,y)(x>0)ᑮ¤ Ḅ¥¦.ឤ ᜐḄᑗᙠy©zḄª¥.5L« (0.5,0).1ஹRLḄ¬2ஹRLḄ®¯J°▲²ᑖḄJᩩᑗ.´ᑗLµn¶ᙶ᪗©ᡠ¹ᡂḄGHḄ☢»ᨬ4.½ஹ(N⚪Pᑖ7ᑖ)J ᳫqḄ¿ᚮ.ᐸÁ»ḄÂᓄḄÄ᳛ᳫ☢»SᡂÆÇÇÈÉᦪK>0.ᎷBᙠÂᓄ«Ë¿ᚮÌÍÎᢝᳫHÐ.ÑÒ rḄ¿ᚮ0ᙠÔÌÂᓄḄ34Õᑁ.ÂᓄÖᐸÁ»Ḅ×.Ø¿ᚮᐰ²Âᓄ◤⌕ÜÝÕ%Þஹ(N⚪Pᑖ8ᑖ)/(X)ᙠßa,aázᐹᨵ*▤ãä-ᦪ.5/(0)=01ஹᑏl/(X)Ḅæç0ᨽéê⚗ḄJ▤ìíîði2ஹñòᙠ1a,aázóÝôᙠJ .´*/জ)=3ö/(x)dxJ-a
70q00]<01rH—ஹN⚪Pᑖ6ᑖÑÒA=110,6=1015PJ111I0,AXA+BXB=AXB+BXA+E,RX.ᓝ*ஹN⚪Pᑖ6ᑖB%,02.44 ឋ AX=ḄẠ=1+%2=%+%3=3+%,4=«4+tCCl>ᐸ. ᦪ!"t#$%&ᩩ()*,43&, AX=OḄẠ.
71
722000.ᐰ0ắ2Ẇ45ᐭ78ὃ!:;⚪1.arctaru;-x=n(l+2/)2.>?ᦪy=r(x)ᵫ 2"=*+yᡠIJᑣdy|.01(%+7)^^2-4.PQy=(2x-l)e*ḄUVWQ .5.(1000\>A230°,E 4▤ᓫ[\▣^B(E+A)-'(E-A),`la(E+B)0-450(00-67)bஹ⌱e⚪.>?ᦪ/ভᙠ(-8,+8)ᑁkl.^yn=°p ᦪq#$(A)a<0J)<0.(B)a>0,i>0.(C)aWQ,b>0.(D)aN0,6<0.
737.>?ᦪ/প#$ᐵ}~n+[~(x)]2=X^~(0)=0.ᑣ(A)/(0)/(%)Ḅᜧ.(B)/(0)/()Ḅq.(C)(0J(0))PQy=/«)Ḅ.(D)/(0)Ḅ(04(0)),PQy=/(x)Ḅ.ூ8.>?ᦪ/()⍝()ᜧḄ?ᦪ^/'G)g(x)-/(x)g'U)<0,ᑣa<%<6),ᨵ(A)f(x)g(b)>/(6)g(x).(B)/(x)g(a)>/(a)g(%).(C)/(x)g(x)>/(6)g(6).(D)/(%)g(x)>/(a)g(a).[J9.lim(sin6x+°,ᑣ|ᱯ =\x'IJ°x(A)0.(B)6.(C)36.(D)oo.[]10.ᐹᨵᱯ=-\y=2%e-\y=3e*Ḅ3▤ ᦪ¡Qឋ£ᑖ e23(A)a""y"-ᦇ+y=0.(B)¦+y”-y-y=0.(C)-6y"+1lyr-6y=0.(D)f-2y-y+2y=0.10ஹ©⚪11.>ªInx)="I,®¯]/-(x)ch.
7412.1,3☢5ᨵ789=|(x.y)IOW"Wl,OWyWl1:;<="N0).=S(t)⊤?789@A;
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76ËÌ()ᕜù 5Ḅkl?ᦪ,úᙠ=0Ḅ¼ûüᑁ#$ᐵ}/(1+sinx)-3/(1-sinx)=8x+a(x)ᐸa(x)x->0)ýþ▤Ḅÿ f(x)ᙠ=1ᜐy=)ᙠ(6J(6))ᜐḄᑗ.18.y=ax2(a>0,NO)y=1-dᙶ᪗ 4Ḅ>=ad#ᡂ%&☢().*+,-./()0x123%ᕜᡠ6Ḅ23778ᨬᜧ?ᨬᜧ78<=>?
7719.?ᦪf(x)ᙠ 0,+8)AJ(0)=1,CDEFf'M+)=°(1)ᦪI()K(2)LMNOxN0.,ᡂPQEF:e"Wf(x)W1.20.<1ஹT)(0ஹ£Ta2=.y=0.A=afl,B=0%,ᐸU,2B2A2X=A4X+B4X+7
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81(3)f(H)Kᦪ,FG)fG)ḄKᦱHᑣ(A)S1)KᦪU. (1)Ꮤaᦪ(B S/(x)ᏘKᦪUHF(z)Kᦪ(C)S1)ᕜKᦪU,FQ)ᕜKᦪ(D)S/(x)ᓫKᦪU,FQ)ᓫKᦪ'.:•••,.[](4)“¡¢£gḄeE(0,1).¤ᙠ7ᦪN,S¥NUHឤᨵI%-al42e”ᦪᑡᦈ©AaḄ(A)ᐙᑖᩩ¬⌕ᩩ¬(B)⌕ᩩ¬ᐙᑖᩩ¬(C)ᐙᑖ⌕ᩩ¬(D)¯ᐙᑖᩩ¬°⌕ᩩ¬1X21—3 2x~223-3(5)±²ᑡ³/(1)Hᑣ8d1)=0Ḅ᪷3H—33^-5K*',4x4x-31Ḅ´ᦪiT**'»"**ஹ♦(A)l(B)2(D)4.[0H\JH¶ᑖ5ᑖ)/I+tanjN—ஹ/i+sinz*--^ln(l+x)-x2Xx-*0
82¸H¹\ ⌱ᑖ6ᑖº»ஹ¹\¼ₐᑖ7ᑖº(y+H12+y2)d;r—xdy=0(x>0)J¾p¿⚪ஹ.Ḅs.y-0tÀஹ¹\ Áᑖ7ᑖºÂ◀ÄÅḄÆÇHᵨÉÊËᢕᧅÎᐭÄÅHᢕÐÆÇÑÒÓÄÔ¹ÕÖº.×ØÄÙ30m,ᢕᧅXÚ:400N,ÉÊ_Û77 Ü50N,ᢕᧅᢕÐḄÆÇÜ2000N,ÒᓣÞß3m/s.ᙠÒᓣàd|HÆÇá20N/SḄÞßâᢕᧅãST|ᣵ.åËᢕÐ, ÆÇḄᢕᧅÒᓣæÄÔH¿çèÜé◤ëìíᯖὡḄðñHò.-x+d0•X¹óWজlNxlm=lJ;m,N,s,Jᑖõ⊤?ÛHö÷Hø.ᯖὡJ•:;••ঝᢕᧅḄß:@AÄÔ58ḄÉÊúßûᶍý.º
83zஹ(\⚪ᑖ8ᑖ)þØKᦪy= 0ஹHJ(1)KᦪḄÿ (2)ᦪḄ (3)ᦪḄ.ஹ( 0ᑖ8ᑖ)ᦪ/()ᙠ -1.1 ᐹᨵ#▤%&'(,*/■(-1)=0/(1)=1Z«=./01ᙠ2 (-1.1)ᑁ456ᙠ7W,9:(G=3..
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85ᓝ>ஹsᳮ,ᑖ8ᑖuᔣwx7=y,1,1,3]7,°2=[-1,-3,5,l]r^3=[3,2,-l,p+2]T,<»4i[-2,-6,10,p]T,DpUz{,Fᔣwxឋ}ᐵ?Zᙠ]{ᔣwa=[4/6,10]ᵨ@23,ឋ⊤2ᡝUz{@Fᔣ■xឋᐵ?Zᙠ]{\Ḅ7ᜧឋ}ᐵx.1998ᐰắẆᐭ%ὃ[ᦪ]
867ஹ■( ᐳ5 @ 3ᑖ@,ᑖ15ᑖ)(1)limO=^(2)By=-/+2+2VMzHᡠOᡂḄᵪḄ☢SA=বk=_____.J31TTX(4))%&@ᑣJ)Q2-=.(5)By=xln(e+ᓝ)(0)Ḅ^_U______.>ஹ⌱ (-ᐳ5*@■3ᑖ@〈ᑖ15ᑖ)(1)ᦪᑡ4Mm¢limzj”=0,ᑣ£ᑡ¤¥¦Ḅb(A)§a¨ᦣ@ᑣª¨«(B)§/}¬@ᑣ”ªᨵ¬(C)§4ᨵ¬@ᑣªªU}®(D)§U}®@ᑣªU}®4(2)ᦪ/(x)=(x2-x-2)Ix3-xIḄ¯?'ḄᦪU(A)0(B)l(02(D)3(3)°±ᦪy=y()ᙠCDxᜐḄ³w´=ᓲᵥ+a,ᐸoab·dz(AcX1+x-O)¸▤Ḅ}^@*3*(0)=*ᑣy(l)=(A)ire4(B)2JT(C)=(D)e5
87(4)ᦪf(H)ᙠ=Ḅ¹º»ᑁ%&@*/(a)Uᐸᜧ@ᑣ6ᙠ<5>0,¼£(a-3,a+6){@ªᨵ(A)(x-a)[/(x)-/(a)]^0(B)(x-a)[/(x)-/(a)]<0*(C)—U½0(#a)(D)lim%)7ᯏ)3)▤^▣@A•bᐸ¿Àk▣@ÁUÂᦪ@*AKO,±1,ᑣªᨵ(iA).=(A)*A*ÃÄ-".(C)fID"-*#ஹ( Æᑖ5ᑖ)\ᦪ/(x)=(1+Z)ÇÈᙠ (0,2QᑁḄ¤@Zᑨ¤ᐸÊË.Ìஹ(⚪,ᑖ5ᑖ)¦ÎÂᦪஹ6ஹcḄ@9«.az-sinx/,ᝤ(21+/)´=Meᐵ)
88Ðஹs @ᑖ5ᑖuᑭᵨÒᣚy=^_~COSN'"COSN-Zysinx+3>COSJC=e*ᓄÕ@Z\Ö^_Ḅ×Ø7Ùஹs■*ᑖ6ᑖuᨵÚஹs ■ᑖ6ᑖuÛᔣÝoÞß¹àáâãᔁ,ᢥáâ⌕\@◤¦ÎãᘤḄ£ÞéêysÛÝë☢ìíuM£ÞéêvîḄᦪᐵï@ãᘤᙠðñEᵨ£@ÛÝë☢ᵫóô2õẓL£Þ@ᙠ£ÞA_o÷øᑮúñûñḄEᵨ.ãᘤḄüwUm,ýSUB,Ýþ·ÿ PᘤᡠḄᡂᦪ >0.'”ᡠḄᑖ !"ᦪᐵ$y=yv.
89&ஹ()1■ᑖ8ᑖ+,y=/ x-./0,10Ḅ123456"ᦪ. 189ᙠ; 0,1,<=ᙠ./0,;00>?;+ AḄBC☢EFGᙠ./H;10>y=f IJḄIJKC☢E. 2L,/ xᙠ./ 0,1ᑁNOPf(;+QR2S+8T 1UḄ;-V2Ḅ.Wஹ()■■ᑖ8ᑖ+,ᨵIYy=JUGZ[\]ᐸᑗYᵫaIYஹᑗYbcdᡂḄe☢fCgXchi2ᕜᡠ=ᑮḄhilḄ⊤☢E.ᓝஹ()JB#Iᑖ8ᑖ+,,=q;+-2ᔣ0sḄ56IYᐸ01t2\(u,+ᜐḄI᳛ xyzPaIY0\ 0,1ᜐḄᑗY y=x+1,{IYḄ , "ᦪy=y xḄ}.
90H-ஹ( ■■ᑖ8ᑖ)!"£(0.1),$%(1)(1+z)ln2(l+")V3<1ফTVinflL=$-iᓝRஹ() ,ᑖ5ᑖ),(2E-C-lB)AT=CT,ᐸUE-4▤ᓫB▣ -4▤B▣AḄiB▣.A.
91ᓝஹ() ᑖ8ᑖ)q=[l,4,0,2]r,a=[2,7,l,3]T.a=[0,1,-la]T,p=[3,10,6,4]"23tlaஹ6}ᓺᵫYឋ⊤2°ஹ6}NᵫYឋ⊤ ᑏ!a⊤$ 1997ᐰắẆᐭ%ὃ[ᦪ]2ஹJ■() ᐸS ᜓ■3ᑖ.〈ᑖ15ᑖ.ᫀᙠ⚪UY0+1/;+='8s"""°ᙠ;=0ᜐ56ᑣa=. 2,,=ᑣG(5)ᔣ£¤=(1,2,-1,1),=(2,0,t,0¦Q3=(0,-4,5,-2)Ḅ§ 2,Mt=.
92ஹ⌱¦⚪(¨ ᐳ5 3ᑖᑖ15ᑖ)(1)f0.〈4--¬0,r(x)<0,r(x)>0.´Si-S=fW(b-a),S=g[/(a)+/(b)](b-a),ᑠ23(A)S,<$-IY>=/(x)Ḅ¬\0(D)/(x)-/(;)Ḅ}(J(;o))¯-IYy-/(x)Ḅ¬\0r”“ (4)F(x)=Je^sinxdr.fflF(x)(A)+¶·ᦪ(B)+¸·ᦪ(C)ឤ+º(D)Q+·ᦪ2-xx<0ম£)=<ᑣg[/(x)]=+2x>02+x2x<0X<0(A)<2-x½¾0x>0©C(2-2[22++x,2x<0.x%x<0(¿x>0
93ஹ() ᐳ6 ,± 5ᑖ,ᑖ30ᑖ)(1)▲lim-Vx2+mnx'x=arctantᡠ³´U(2),y=>(x)ᵫ.2y~ty2+e'5"ব¶·¸2z(unN+l)2dx.(4)ᑖ (3;2+2xy-y2)cLz+(x2-2xy)dy=0Ḅ¹º.(5)“=M+e2x,y="*+xg,-•2-¾R▤Yឋ3¿À2ᑖ Ḅ¼ºaᑖ .
94(6)A=011PA?-AH=I,ᐸUI-▤ᓫBᶱ,B▣E.00-1JÂஹ()⚪Ãᑖ8ᑖ)2xi+Ax2-zj=1X} ¤ÄÅ1-;2+%=2ƺᨵV2ºᡈᨵÆÈɺ? ᙠᨵÆ4;+5x2-5Í=-1Èɺᑏ! ¤Ḅ¹º.xஹ()⚪Ãᑖ8ᑖ),IÎLḄᙶ᪗ ᔆ=«)M(r,6) L012\.M£2,0)%L02´\©Ò0W(,ஹOMIYLᡠdᡂḄIJᡧC☢E}FGL0M°ஹMÔ\/ÕÖ}Ḅ2×IYLḄ .
95Øஹ()■Ùᑖ8ᑖJÜḄᦪ/Q+ᙠÞ./H0,1Ä056ᙠá./(0,1+ᑁᜧGâ x/(x+=fg+ᚪ;2(a éᦪ+,LIYy=/(;+H=i,y=0ᡠdḄfCSḄ☢E} 2,X*"ᦪyh/(;+ ña }.fCSgnchó2ᕜᡠ=ḄhilḄlEô.õஹ()JHᑖ8ᑖ+"ᦪ/(z+5÷Pøù;2.,U(;+=1/("+úU'(”+ ûüᔬ(;+Ḅ56ឋ&ஹ()⚪ᑖBᑖ+ÿkḄn-iu=kᙠ0ᑁ᪷Ḅ ᦪ,!"#Ḅ$%.1996ᐰắẆᐭ%ὃ[ᦪ]
96'()*(,⚪ᐳ5/01/⚪3ᑖ,3ᑖ15ᑖ.45ᫀ7ᙠ᥅9:;<)(1)>y=(ট+e*1?ᑣ=________.*=«.(2)j](D+-/l—x2)2drr=.(3)Fᑖ/ᓝ2/45y=0ḄIJK.(4)liraJM[sinln(1'+K)-sinln(l+5),="(5)NO;P=D+LaN=2Q'=2ᡠᑴUVḄ☢XS=DYஹ⌱\⚪(,⚪ᐳ/]^/⚪3ᑖ_ᑖLSᑖ`/⇿bcḄd ⌱e9fᨵ'⚗iᔠJSk⌕m4ᡠ⌱⚗nḄopqᙠJHrḄstᑁ)(L)>uv'wx-(oz'+⇧+1)z{/|▤Ḅ~/.ᑣ(A)4=gஹb=1(B)a=1,6=1(C)a-(D)a=-l,d=1 w(2)>ᦪD)ᙠ(-8)ᑁᨵ,uEe(-6.6)wឤᨵf(x)\^D2,ᑣD=0xzf(x)Ḅ(A)(B)Ḅ(C)Ḅ(0)=0(D)Ḅ(0)ᐵ0ব><)ᜐᜐᑣ(A)uliraf(d)=-8,xᨵlimed)=-°°L "L-R(B)ulim/(d)«■-8xᨵlim/(x)=-00(C)ulim/(a)=+8.xᨵlim_f(z)=+8ar*****(D)ulim(z)=+8xᨵlim/(x)=+00(4)ᙠ('8,+8)ᑁ|DIN+1DI2-COSX=0(A)~᪷(B)ᨵᨵ' ᪷(C)ᨵᨵY ᪷(D)ᨵ~ ᪷
97(5)>/(D)ஹ8(D)ᙠ[<,6]<D)=g(x).>=fQ),H=aQD=6ᡠᙌ☢UV;y=m¡¢ᡂḄ¡¢¤¤XK).(A)Jn12m-f[x}+^(x)][/(x)-g(x)]dx(B)Jv[2m-f[x}-g(x)][/(x)-g(x)]dx(C)Jr[m-f()¥g(a)][/(j)-g(D)]dx(D)j«-[m-/(x)-g(j)][/(j)g(x)]dx¦J, ᐳ6/■,^/ 5ᑖ4ᑖ30ᑖ)(1)¨©yi-r^dx.ফ.Áif(u2)duªoᐸ9/(«)ᐹᨵY▤ᦪ/(a)KO,m.6Âᔉ(4)mᦪ/(l)=':ᙠD=0ᜐ¯°±ᨽ³´µ⚗Ḅ▤¶·¸.n(5)mFᑖ/+ª=x2ḄIJ.
98<6>ᨵ'¹ºᙊ¼¤ᐸ½☢Ḅ¾ஹ¿ÀᑖÁK2aஹ26,ᵨÃļ¤½☢Ḅ¿ÀŽ☢ᡂ«Æ 0Ðᦪ/ÑD=«x3-14D42.12x—16x>2CDᑏc/xḄÓᦪgÑDḄÔÕ2ÖDzᔲᨵஹ,ᨵᢣcÙÚ.
99Ûஹ(, ◤ᑖ8ᑖ)>ᦪ>=y(x)ᵫ2yl-2y°+2xy-x2=1ᡠÞmy=y(x)Ḅß,IᑨÁázᔲK.♦ãஹ(, äᑖ8ᑖ)>f(x)ᙠåæç<ᐹᨵY▤ᦪf(a)=/(b)=O,/(a)/(d)>0.!"MèᙠS€Qéêv£ëì=0Qí(7)=0.ஹ(, îᑖ8ᑖ)>ïìKᦪ..+ay=/(x)(1)mðñ⚪ḄJ,(D)ᐸ9az¹ᦪ>_=0(2)If(x)Ki(4Kᦪ).!"MuDò0w.ᨵIy(x)
1001995ᐰắẆᐭ%ὃ(ᦪ)'ஹq)ó(,ôᐳ5/⚪,^/II3ᑖõᑖ15ᑖ.᩹÷ᫀ7ᙠ■9:ø<.)(I)y=co“/) ù'M.ᑣy*»________•(2)Fᑖ/*y=-23ḄI■K.(3)O;ú':/ᙠ*2ᜐḄᑗ;K________.(4)!im(-1—♦A♦…♦——*------)=ߟ-.t—
101>A41ri♦n42n4n♦n/(5)O;y Ḅýþ;K________.Yஹ⌱ÿ⚪(ᐳ5 ,1!BUᑖ.ᑖ15ᑖ.BIḄ⌱⚗,ᨵ⚗ᔠ.⌕.ᡠ〈 Ḅ!ᜋᙠ■%Ḅ&'ᑁ.)(1)*/(ᜧ)-./)ᙠ0-8.♦8)ᑁᨵ45./(*)789:ᦪ,^t/(x) BCD?@.(B)q(x)rEFD?@•(CMG)HEᨵI?@•JKLᨵD?@ ((2)NOPu-1)(2-GRxSᡠTUVḄ☢XY⊤[7(A)-fg(M-1)(2-x)102(3)*/(X)ᙠ(-8,♦8)ᑁY\,<]^_`X,aRb.cᨵd*,)(A)]^_X,/'U)>0.(B)]^_x)<0.(C):e-*)ᵯhij.(D):ᦪ /(7)ᓫ⊀ij.[(4)ftMA«X[0.1)±r(«)>.ᑣ/(1)ஹr()ஹ/(1)-/()ᡈ/(0)-/(1)Ḅᜧ♦tE(A)/r(1)>/'(o)>/(i)-/(O).>AD-AO)>/,«».(C)/(l)-X0)>/,(1)>y(0).(D>/*(D>A0)-AD>/X0).(5)*/("Yv={x)(l+1sinxl).wxF(x)yX=0ᜐYvAᑣEᨵ(A)/(0)=0.(H)/((0)=0.(C)AO)+/'(o)-0(D)/(0)-/'(O)=0.{ஹ(filᐳ6⚪A⚪5ᑖA|ᑖ30ᑖ.)পk1 ÄÅ.«(I-cos/*)(2)*:ᦪy=y(.)ᵫxJ”=4,ᡃ/ᐹᨵ▤vᦪ,
103মÆÇÈ:N—É[CW2”ḄÊË. 6ᓫÍÎᙠ¨&☢ᑁÐÑÒÓ,ÔÕÖI,..^_ᵨØÕÖᡂ¶Ù[ÙÚ·ᦪ+1.*f+=>.ÛÎḄÕÖ+Ü?ÝᑮÛ.ß/ÎᡠàḄá.âஹ[ã⚪Cᑖ8ᑖ]?ᦪAG=/ 2-edḄᨬᜧ- ᨬ-.äஹ[ã⚪Cᑖ8ᑖ]å=<æᑖx>'+/ xy='Ḅ%çè,ÛæᑖCDᩩêyl..z=0ḄëX.
104ஹ ᑖ8ᑖ.*N/AḄ7A=/*,0.wrஹwpᑖ7Nᙠ@ᜐḄᑗ-.¡¢£b0Ḅ¤¥7¦"ᐸ=/•/*..y\=/%,¨v@©¦.পḄᙶ᪗⊤¬.ìஹ[ã⚪Cᑖ8ᑖ]/«]=îïð3y34d.xxJ0W—•J0ñஹ[ã⚪Cᑖ8ᑖ]lim«2=1,/"[ò]>0,LMf3x4Nx.£-0X
1051994ᐰắẆᐭ%ὃ(ᦪ)ஹ®¯M( ᐳ5 A 3ᑖA■ᑖ15ᑖ.±ᫀ®ᙠ⚪³´)isin2x+/**-1.-------------x#0n(1)w¦)=1xᙠ(-8,+8)´89Aᑣa=Iax=01-(x««-Zn(l+t)¶(2)*:ᦪy=y(x)ᵫ·ᦪஹᡠ4Aᑣᕴ=বপ⊈)=%(4)|x3r>106ফ*/(x)=J3Aᑣᙠ@h=1ᜐḄ/(x),X2X>1(A)ÄஹÅvᦪÆÇᙠ(B)ÄvᦪÇᙠ,ÈÅvᦪÉÇᙠ(C)ÄvᦪÉÇᙠAÈÅvÊÇᙠ(D)ÄஹÅvᦪÆÉÇᙠব*y=/Q)ÌÍÎÏᑖJ+=0Ḅ»,<'A(Ð)=0,ᑣÑÒᙠ(A)xḄÓÔ*ᑁᓫÕij0(B)xḄÓÖ×ᑁᓫhØÙ0(C)xᜐÚÛÝ0(D)jᜐÚÛᜧÝ'''Þß.(4)Ny=e-2arctan7.à.┐Ḅâãᨵ(X-1)(N+2)(A)lᩩ(B)2ᩩ(C)3ᩩ(D)4ᩩ■(5)*M=J,j^^coBNdx,N=J(airPx+CQB4X)dx,P=f2(xaau?x-ca84x)dz,gJæ.æᑣᨵ(A)N107বïðᕣtan*+ 4ïYö÷4 5,*N73=ò+èAóVOABCḄ☢X7D,NôóVOABCḄIX7Di@AḄᙶ᪗70.0,a>0.õö:#<-y.ஹ ùᑖ9ᑖú`¦>0bA—+ᓃ=ᨵ<üᨵ»A´ḄÚÝ0
108àஹ(■!1ᑖ9ᑖ)Ô¦3+4Ky=----2*X(1):ᦪḄiMþDÿ(2)ᦪḄ;(3)ᐸ,(4)ᐸ.ஹ( ᑖ9ᑖ)!ᑖ"#/+=inxḄ'()ᐸ*+ᦪa>0.a
109,ஹ- ⍑ ᑖ9ᑖ/0fMᙠ0,1 2345'ᵨ)789:OC4<1;J/-◤ᑖ9ᑖ/@A>=3-Ii-1ID0,ᑣᦪFQḄᓫfghi—4f)n±dx=_______.Jvcosaমno@Ay=/xp0,-1,5ᐸ2qS-110wஹ⌱y■( Mᐳ5{X■)YXM3ᑖ)|ᑖ15ᑖ.YX■}Ḅ~{⌱⚗*)ᨵS⚗ᔠ■⌕.Zᡠ⌱⚗ḄTᙠ■Ḅᑁ)প:111বø_)=<111O,aft/(x)=Inx--+4ᙠ(0,+«)ᑁºçᦪ+e(A)3(B)2(C)l(D)0(5)û/(x)=%/(-),ᙠ(0,+8)ᑁ/(X)>0r(x)>0,ᵨ/(x)ᙠ(-<»,0)ᑁ(A)/(x)<0r(x)<0(B)r(z)o(c)r(x)>o,r(x)o,r(x)>o
112ஹ- ᐵ5X )YX 5ᑖ)¡ᑖ25ᑖ/10y=ᐸ*/ᐹᨵw▤ᦱ)ᙢ(2)limx(\/x1+100+x).বfভ5!ᑖ"# /-ldy+2§-o»xdz=0¨©ª«ᩩ)=1Ḅᱯ(x«0
113~ஹ- ■ᑖ9ᑖ/0w▤+¯ᦪAឋ!ᑖ"#/++e=*ḄS{(vy=+ 1+0,+ᦪa>e,78 a+x°114=ஹ( ■ᑖ9ᑖ)0)(<)ᙠ0,Q234)5f(0)=0,789|j/(x)dxI(■.ᐸ*M=maxIf(d)I.o1992ᐰắẆᐭ%ὃ(ᦪ)SஹTU■( ᐳ5{X■,YX 3ᑖ.■ᑖ15ᑖ.Z[ᫀTᙠ■*ᡊA2)x=/(«)-»r.(1)0Ì,ᐸ*/)5f(0)#)ᑣÍ=_________..ly=/(e3*-1)2,w0(2)ᦪy=<+28sxᙠG0R2Ḅᨬᜧv.বUm=1-ü"-_____.Ie-cosx-------(5)ᵫ@Ay=<ÔDKAy="ᡠFᡂḄḄ☢¼S=
115wஹ⌱y•( ᜧJ■ᐳ5{X■ X 3ᑖ.4ᑖ15ᑖÖX■}Ḅ~{⌱⚗*. ⚗ᔠ■⌕•ᡠ⌱⚗Ḅᙠ■Ḅᑁ)(1):<ߟ;)<—sinrri<ÔḄ(A)×▤X(B)Ø▤X(C)ÙÚX(D)Û▤ÜÙÚḄXI'X2N<0(2)0<)=<)ᑣ'X2+XX>0-4?<(0(A)/(-x)=<-(x2+x)x>0(x2+x)x<0(B)/(-x)=**ஹ-x20(x2-xx<0(D)/(-x)=ீIx2Nß0(3):N-1;)ᦪà=/0ᓰḄ▲”(A)Ùã2(B)Ùã0(C)v8(D)åᙠv8ভ0fix)34)F(z)=£=æ)daᑣF'(N)Ùã(A)/(x4)(B)X2/(X4)(C)2x/(x4)(D)2x/(x2),
116(5)Kf(x)ḄMNᦪPsi2,ᑣf()ᨵSTUNᦪV(A)l+siixz(B)l-sinx(C)l+coax(D)l—coaxWஹ( ᐳ5Y ZY 5ᑖ[ᑖ25ᑖ)প]lim(^_)`_______..L*8ᓝ<1(2)!Nᦪy=>(x)ᵫbc=1ᡠef]g=Ḅdx(3)]J/rrp(4)]1-/1-sinxdx.(5)]hᑖbc6-x3)dx-2xdy=0Ḅij.
117~ஹ- ■ᑖ9ᑖ/x<0)ê/(n-2)dx.0“N/=x>0·ஹ- ᑖ9ᑖ/!ᑖ"#º-3y'+2,=**Ḅ'(.ஹ- Çᑖ9ᑖ/ëì@Aஹ=lnl-<22íîã04z42ḄSïðḄñò.,ஹ- ■ᑖ9ᑖ/@Ay=6ḄSᩩᑗALóµ@ADᑗA)KAz=0,1=2ᡠFᡂḄ¸☢☢¼ᨬX.
118=ஹ- ■ᑖ9ᑖ/nofx<0,/ 0=0²7)ôqõḄwÁᦪx,ö÷)ឤᨵf-<1+<2Vf3d1+f-<2ᡂù.1991ᐰắẆᐭ%ὃ[ᦪ]
119SஹTU8X 3ᑖ) ᑖ15ᑖ)(1)0,=ln(l+3-*),ᑣdy=(2)@Ay=e?Ḅ2i.বJ'úû=--------•=Aᑮ4=Gᑁ(4)üýþòtsin(?)ÿ/ᑣiᡠḄ.(5)lim-----^4=.+ ஹ⌱■(#$ 3ᑖ.■ᑖ15ᑖ)(1)'(,=++ax+6,2?=—1+-3ᙠ(1.-1)ᜐ0ᑗ•ᐸ3aஹ645ᦪ.ᑣ(A)a=0,6=-2(B)a=1,b=-3(C)a=-3,6=1(D)a=-1,6=-[J[x20120£OCxCl3(D)F(x)=vl2x-21121ফ4Hবᕣ.(4)^Jxsin2xdx.(5)vwᑖx-'+y=Mz{y(l)=1Ḅᱯ}.~ஹ( ■ᑖ9ᑖ)ᑭᵨᦱx>1,ᨵln(l+d)ஹdInx1+x
122ஹ ■ᑖ9ᑖvwᑖxy*+y=x+coaxḄ}.ஹ■!!ᑖ9ᑖ.£(y=1-1-2,]ᙍᡂJT☢\,vT☢\y]JᕜᡠᡂḄ▾Ḅ.ஹ ■ᑖ9ᑖ ♦ \,A,Dᑖ4(y=/,y=e"*2*^Ḅ,AB,DCᙳᚖ].¡IAB11DCI=2'l,IABl<1,vB,CḄ¢ᙶ᪗,¥¦ABCDḄ☢fᜧ.
123§ஹH¨ᑖ9ᑖ78ᦪᙠ -B,00ᑁ©{/x=/ X-W+sinx,¡/10".7&T.1990ᐰắẆᐭ ὃ ᦪ"
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