专升本数学教材1

专升本数学教材1

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时间:2023-07-06

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20slim/(x)=ᑣKᦪ¦Xfx஺sᙠ᩽▲à᩽▲ÃA,¨஺%ᙠÞÃÈxᙠæçèéᑁᕖ{rîÃᡃ<áïx-x஺Ḅðñ®x=x0ÜḄdeᐵ஺ÛḄ᪶çô⚪ÜḄe,ᔲᙠᦪ6,ᐸᙠæçèéᑁḄxᙳ¢£஺ᨵøs᎛ᡃ<⌕ᵨÛ᩽▲ḄᩭúûKᦪḄ᩽▲ÃA,ᐸúûêüý᪵Ḅᕖ{a):ᐜOe>0b):ᑏec):ᔲ0VτV8,;d):ᑣḄe>0,8,0<஺1<6ᡂ!,lim/(x)=J4#$ூᭆ'ᳮ)*௃i),ὃ.Ḅ/0᩽▲Ḅ3456ᜧ89⌕;ᐵ=>ᳮ᩽▲3456?@ABC᩽▲DᒹFGCH☢ḄJ⚪C>LMNOPḄ>MᓄRST•C>#MNOPḄ>MᓄVW᩽▲XᑖḄZ[Ḅὃ)>ᑭᵨ᩽▲56Ḅ᩽▲^஺ii)_`ḄabcdḄ᩽▲lim-=0lim—=0lim^*=0,1q\<\limq*=8,|q1জ-nঝfxঞI஺”*τট-"i"τঠ7T7Tlimarctanx=—limarctanx=--lime*=0limex=+oa…2ড—2ঢ1ণ…lim᪗=1(a>0)limx=1ত*T9থ*TO+10ஹᦪ᩽▲Ḅ$%&ᑣp☢qrst;ᦪᑡ᩽▲Ḅwxyᑣᡃ{|⍝ᦪᑡ~abᱯḄᦪᦑᦪ᩽▲Ḅwxyᑣᦪᑡ᩽▲Ḅwxyᑣ஺পஹᦪ᩽▲Ḅwxyᑣq|x-x0(ᡈx-8)Ag(x)f3limC/(x)±g(x))=A±Blim/(x).g(x)=43(j5XT%NT஺limZ^=4,(3W0)XTqgবBlunkf(x)=g(Ab_ᦪ)lim=,(b[᦮ᦪ)dXTX«XTX0ᙠ^ᦪḄ᩽▲.ᑭᵨAyᑣ~CᩖḄᦪᓄbCᓫḄᦪᩭ^᩽

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78JJ/db=JÞᕖ/dxD=£Wàdy=JÞ(W-y)dy=[(y-i)/-3[IÞ=7-(-1)=äJJf=x>=0,x=2ᡠÊ.Æ⚪(æLMᑖᓄᡂL^ᑖDÅ(¢ÜÝq¢(1)D:Q

79õ஺ö=J"jÆ⚪(9f"X$m;<¬ᦪô::ô(CøÞw"9=ff/"x$dxḄXDᐸHD᝞.¢ᑣJffxdxdy=ḄD=/""ù-úÐ᩽ᙶ᪗UHḄNOP᝞LMᑖḄü¬ᦪýᑖ"஺$ḄVþᙳᵫ᩽ᙶ᪗Ḅᡃ᝞ᕖ?☢ᡃ᩽ᙶ᪗ᑖḄ.᝞᩽0ᙠ"஺$Ḅ᜜&,()"஺$ᵨ+,⊤./R"஺$WpWRz"஺$aw஺WB,ᑣᑖ᝞9JJ$9=&=@A*SMRR9E$᝞᩽஺ᙠ"஺$Ḅᑁ&()"஺$ḄGHIJ/P=R"0$,0W0W2n,ᑣᑖ᝞9JJ/3ᑗḄv&="Qফ/"஺6gg®k$᝞᩽஺ᙠ"஺$ḄGHWGHIJ/P=R"0$,%W஺ᑣᑖ᝞9JJ7sಘ$\8=©_"஺,ff2pdpdeᨵbW☢cdedᙠfgᙶ᪗+᧕iᙠ᩽ᙶ᪗᧕Ḅjᦪᡃlmnopqᓄ/ᙠ᩽ᙶ᪗Ḅᑖᓽmtuvᯠ஺x9fgᙶ᪗y᩽ᙶ᪗Ḅqᣚ/9x=pcos3y=psin3r

801=0(”+7)db⚪9ᐸ(஺)ᙊ/Wx'+yWb9ᵫᑖ)ᵫᙊᡂnjᦪḄᯠcᑖᓄ/᩽ᙶ᪗I஺o*=࠷0$&=0$8,do=pdPd஺ᐭᓽmqᓄ/᩽ᙶ᪗Ḅᑖ஺᝞9/=jjp2pdpd6=JJp3dfddᙠ¢ᐸ£¤¥¦ᑖ:j=JJ"3dᵫ8=0¨3©8=—abjjdg-4+wxdy,⚪9ᑖQ()D/ᵫW+y2-2y=0x=0ᡂḄ¯e°▲ᑁḄ()஺9b^=Â85Ã0=ÄÅ6ÆÇᣚTf§᩽ᙶ᪗⊤ÍBTÎÏÐj⊤Ñ|JT0<9<>,0

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87(1).ᱯᨵ+,Ḅ-᪷Ḅ./0+-᪷00(0*M23"56"378/Z/+:=°Ḅ+ᱯ;ᵫ2=>?,2@ᦪᡠB=CឋDEF0"ᦋḄH;Iy=c^+c^ᐸKc”C2-@ᦪ஺(2).ᱯᨵP᪷Ḅ.=_R0SᱯḄP᪷TI2,23VWXᑮ"ᦋZ'+%=°Ḅ\ᱯ;I,1=]"ᡃ^᪷@ᦪ_᧕abcᐸd\ᱯ;Ie=fgh23°ḄH;I(3).ᱯᨵᐳkl᪷Ḅ./ᐳml᪷0="+n0,ope=/"52=/-f3/r/+s=°Ḅ+CឋDEḄ;t3lᦪ.uḄ;vᵨxyXᑮ-ᦪ.uḄ;ᑭᵨ{|}u:#=cosx+isinx,0^BXᑮḄH;:y=*(Gcos+qsinᵫ☢^c▤@ᦪCឋ78H;ḄI1.᯿/ᦈ/+%=0ᑏᐸᱯIP2+%0+ᵯ=0.2.cᱯḄ+᪷IP,.p23.᪷PLP23-᪷-᪷ᐳl᪷ᑖᑭᵨ☢Ḅ}uᑏḄH;஺⚪Ic"\ᓽ'-3=஺ḄH;.;I0ḄᱯI஻-2஺-3=°=ᨵ+Ḅ-᪷0=-LC=3,F0ᡠcḄH;Iy=Ce-x+Ce3x128,▤@ᦪ¤78CឋḄ;aᡃᩭ¥¦▤@ᦪCឋ¤78j'+“i/+a2,=ঞḄc;a.ᵫ«☢ᡃ⍝Cឋ¤78ḄH;,2=Ḅ\ᱯ;®T78ḄH;>¯஺«☢ᡃ°⍝T78ḄH;Ḅ;a±ᙠḄᐵ´3µ᪵cXᱯ;஺

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106ᑣ1;⊤.ñ%+ᐔ2%+•••+/1=B஽%+ý¨+…+x*a1=0-nூᭆCᳮEFG௃6ᦪ³▣Ḅ¸ᦪ=W[Ḅ2ᦪ+6ᦪ³▣Ḅᑡᦪ=ßḄ2ᦪ.2.ᱯE"ÿAx=b,ᑣḄAx=bḄᱯ.0ᨵஹᑣḄᐰḄ.ூᭆᳮ௃!"#ឋ%ᨵ&.'ᐳAxo=bi,Bxo=b,ᑣᑠJA=bi,BJFbzḄ'ᐳ.23ஹ!"#ឋᨵ4&Ḅᩩ67Ḅ8᪀1.;<ᙳ+x2+A=0C1D,3F+3G+3x3=0ᨵHᵫJKC2DL5/+5O+5X=03F+G+A=0(2)ீx2+x3=0SᨵTUHᵫJK;A=0ᵨ+2X+3X=023AI+2X+X3=02(3)Xj+24=05%j+4X+3A=02<123]p23ஹ321012X1+2X2+3A=09C>?@012000x+2X=0233)I<5400,ᨵHᵫJKC1D.2.Ḅᑨbbᳮc/def஻h▣Uᑣ!"#ឋ/j0ᨵ4&CSᨵ&DḄᐙ⌕ᩩ6rC4DnCrCnD=஻D.op!"#ឋ4*.r0ᨵ4&CSᨵ&DḄᐙ⌕ᩩ6I4=0CMI^OD.ூvwᵨ௃iDx4.LCy=0,z{G|IJ4x”Lr=0ᨵ4&LiiDAx=0,ᨴ=C%,%U,,,Uஹᓽᵨ+ᵯ•!---1"44=0,

107ᨵ4&(Sᨵ&)=5,,…U1#ឋᐵ(ᐵ)Ḅr(A)

108Xj+x+x=123(1)+x+x=223?MA)=lxr(A,b)=2.ᑁ+*2+=1(2)ᵨ௃iD=.M|=0=&ḄBC3ᡈᨵBCḄ£⌕bᐙᑖᩩT.iiDᢥᔣkd%++…+x*%=3ᨵC3BC=ᓰ#34#ᵫᵨU%,…U1*ឋ⊤-=0#34#ᵫ4Ḅᑡᔣ*ឋ⊤-3.CḄ©᪀C1DCḄឋ«

109cÎ■]=éAX=b,ᑣ4Fx2i=0,2ᓽXi-஽d/x=0Ḅ3J4X=3ḄêÎDL2"cḄ=3,Ax=0>|JF+X"=3,0ᓽ஽+%dyx=¥Ḅ.C24!"#ឋḄAx=ᓰᨵUᑣᐸX=ᱏí+îᜓ+…+ᓃ—ভᯅòᐺ+¦ᐸôᡈUõ…,ö÷øyx=0ḄªẠ¬U7d&r=8Ḅᱯ.3À4!"#ឋḄḄÂÃ10ᵨÄJᣚᓄùúh▣A=>A\b>▤ÈÉL2■úভwr\b]ᑣ=8Lt"y|=û*|ü,Uᓄ▤ÈÉᨬÌÉUᑏÎÏḄUýþᨵHᵫJK.UᑣᵫᨬÌÉ´öÕᑮÿᨵᑣᡠᨵḄᵨᵫᩭឋ⊤,ᑣᑮ.ᱯ!ᱯᔣ#$%▣Ḅᭆ()ឋ*%▣+,ᓄḄᩩ/1.#$Ḅᭆ(01§3஻▤%▣6ᙠ⌮%▣9:3=;<;ᑣ=%▣>)3#$?kA-B,=9௃A93+>B#$ᣚ;D#$ᣚ%▣.ூᭆ(ᳮGH௃i%▣Ḅ#$ᐵJK┐+M▣NOii%▣Ḅ#$ᐵJ3PᱯQḄRSᐵJᓽ#$URSiii#$ᐵJVW“Yឋ”[\]ឋஹ+=ឋஹ_⌴ឋ.2.ឋ*%▣>aᑣb1c24ra>"aB"AK~Bnb▀eNBb']⌮c.»»ফkভ=ᔆopqrs-uvwx=y”3.M▣+,ᓄ

110%▣>z)+,▣A#$ᑣ=%▣>#$+,ᓄ?D>aA,=A35Ḅ#$᪗~.A-P-XAP=4?BA014=AP=PA,9ᢥᑡᑖᙽ9%c4'ᓽ᜜,%,L=,%%°o.4.=▬12=ᵯ1ᱥ2.L,4%=ᑭᵨ%▣#Rᑮ=”bᵨ*°p=12L,«c.ᳮbM▣+,ᓄḄᐙ⌕ᩩ/c⚣▤M▣A+,ᓄḄᐙ⌕ᩩ/3ᨵឋᐵḄᱯᔣ.A;-=&ᐺ04pᑣூM¢£ᵨGH௃-¤”=;A919¥9ஹL9¥;1=P%p-x04Ml=Q=4L44M▣Ḅᱯ!ᱯᔣi.©0>D“▤%▣6ᙠªᦪN!®<¯ᑡᔣ&,:&=4a,ᑣ=4D±Ḅᱯ&3>Ḅ²³ᱯ4Ḅᱯᔣ.

111ூᭆ(ᳮGH௃icᱯᔣ°wO,ᱯ¶⚪K3┐+M▣NOḄiicᔣ&3jḄᱯᔣᑣ)&ឋ#ᐵiiicᱯ)ᱯᔣ¹3ᡂ+»¼Ḅ[½&&c=ᑘᳲA0°c.2.Á¢NDÂḄᱯ&3>Ḅ²³ᱯ4Ḅᱯᔣ==ÃÄឋMÅÆb'""c"=°bᡈb'2"c"=°cᨵ®.ÈᑡÉ/"c=1'"H=DM▣±ḄᱯÌ⚗ÉΓ”Ï°=DM▣/ḄᱯMÅ.Ðᯠ«▤%▣¤ḄᱯÌ⚗É3ᐘḄÓÄÌ⚗É஺ᱯÌ⚗ÉḄᓄÕ᪷×=DØÕᱯ.+³ÙÚ%▣᪷Ûᱯ!ᱯᔣḄ©Üᐸឋ*Þß»ᱯ!ᱯᔣ.+³ᐹáḄᦪâ%▣ãᵨMÅ¢ᐹáäå᝞ç[b1cᱯḄÁM¢ᱯMÅÎ*èé°,ᑮ/Ḅᐰëᱯ4>A.b2cᱯᔣḄÁM¢+ìíîḄᱯ4,ÃÄឋMÅÆb4*-*"é°,Á»ïḄðẠJ%,%L,a,ᑣᓰ%+A2%+L+ô%bØõ,L,ᓃíᐰD0c,ᓽD%▣jḄ²³ᱯ34Ḅᱯᔣ.3.ᱯஹᱯᔣḄðø£ùឋ*ឋ*1ᐘ3%▣½Ḅᱯx3ûḄ²³4Ḅᱯᔣᑣb1c+üýḄªᦪþᓄ>3MḄᱯx3ÿḄ4Ḅᱯᔣ2Ḅᯠᦪ""/■Ḅᱯx"Ḅ4”ḄᱯᔣবḄ⚗!/ভḄᱯ#஻'x/ভḄ஻ಘḄᱯᔣ4'()⌮+,”,tḄᱯx/-1Ḅ#"Ḅᱯᔣ5'ᨴ)⌮+4Ḅᱯx/ḄḄᱯᔣ63=Ḅᱯ#2,6BḄᱯᔣ.ឋ:2;<=>?@ḄᱯḄᱯᔣᑣ/஽+D஽Ḅ4

112Ḅᱯᔣ(ᐸGHIJᦪKᵨM+N^20°)ឋ:3AQRᱯḄᱯᔣSឋTᐵḄ.ឋ:4V,ḄWᱯ#414,ᑣ(1)X»»»Z%=£z%(2)ᐸG1ᨴḄYZᐗ\]=^#_▣@Ḅabc"(/).d^_▣ḄefZᓄLd^_▣ᱯஹᱯᔣḄឋ:ឋ:1d^_▣Ḅᱯ#dᦪ.ឋ:2i▤d^_▣kl)efZᓄmnoᙠqr_▣°,uvQAQ=¡=dzag(4,4L,4),ᐸG4&@4Ḅᱯ.ឋ:3d^_▣/wQRᱯḄᱯᔣexqrḄ.2.d^_▣ZᓄḄyz{d^_▣ᑭᵨqr_▣Q,u஺,40#Z▣Ḅyz~Tᵫᱯ⚗!_▣Ḅᱯ4,4@42ᵨḄTᐵḄᱯᔣi)4ᓫ᪷4Ḅᱯᔣii)4ᓃ᪷ᑣ4ᨵ#WTᐵḄᱯᔣ'‘@qrᓄv4,ᨴ@43ᡠqWqrᱯᔣᓫᓄᑁ@%,Q=(%,%,L,%),ᦑQ-9Q=A=ᡂ(44@ভ

113XஹḄ=_▣⊤WX*Ḅᦪ¡¢£,L,xj=%§+%¨+L+/X+2anM>+2%M«+L+জ^#ᐗ^.ஹᓄ#᪗¯°1.᪗¯°Ḅ±²³y⚗Ḅ^#Ḅ᪗¯°ᐸGq³y⚗ḄWᦪ^#q´ឋᢣᦪ¶³y⚗ḄWᦪ^#¶´ឋᢣᦪᙠ᪗¯°G;³y⚗Ḅ·ᦪ#1—1,0,ᑣ^ᐸ#Ḅº°.2.yz1qrᣚz•¾⊤#_▣°!•@ḄᐰÀxÁᱯ4,V4ᙳ᪷•ÃWᱯ4,ÄSឋyÅÆ5'Xᨴ°,vÇẠÄ·ᓽ4Ḅᱯᔣ•{@ḄRXWᱯḄᱯᔣqrᓄ•{ᐰÀᔣᓫᓄ•{qrᓫᓄÊᔣ#ᑡmᢥ4ᙠZ_▣ḄYZSḄÍ᪀ᡂqr_▣Q.x=Qy,v/2x=4*++L+4a2Ðyz1᝞GÒÓᨵXW³y⚗QÔVḄ1஺°ᑣᡠᨵ²஽Ḅ⚗ÐyÕÐyÊᡠÖᔜ⚗GQM²M᝞ØÙÚÐyÛÒÃX⚗?ᒹ²ᙠᔜÝᐰ³y⚗GÞᐭàlá,Lj*஺ᵫy=Lx,v/ã=dᡈ+d2æ+L+d£12᝞GQ²³y⚗±ᨵèᔠ⚗QÔV“12஺°,ᑣ)M=á+áë=Xáì=á,L/=%ÕØᙶ᪗ᣚGî2ØX%ïÊMᢥ1dðÐyz.

114ñஹq=q_▣1.;òXwO?ᨵõö°÷ᱥ/#qqḄ_▣^#q_▣.2.ᑨúḄqឋXW/@@Õû)⌮Sឋ*=üᣚᓄ#ঢþ,ᐸqឋÿᢝᓽ*"x=yTCTACyC⌮ḄᨵḄឋ.!/ᨴxᡈ%&'(▣*+,ᙶ᪗ᣚ*=0C⌮1ᐸᓄ4᪗56ᡈ76J௃ᡈ1;ᔠ=&>▣ᓽCAC=K,@᧕ᑨCᐸឋ.ḄᑨCDᐙ⌕ᩩH1JK2MḄ(▣NḄᱯPQᐰᜧ=TMḄUឋᢣᦪ4K3MḄ(▣YḄᔜ[\]^ᐰᜧ=T.*ឋ¯ᦪ°ᓄ²³⚪µ¶⚪1.A·▤>▣.|A|=T,t4¸—A*t,(12ஹ2.A=.¹"=.(34)--------------------12-43ஹ—221=_____________________-34-24^ᨵᔣ@=(1,1,1)ஹi2=(t,2,t)ஹ஺3=(2,3,t)t=,%,a,tzK*ឋLᐵ஺2

115(24ஹ(24ஹ5ஹA=,B=ᑣBA=I1-V1-3-6)----------------6ஹAஹB4n▤t▣ulM(AB)i=7.A43▤(▣yz{▂=3,ᑣH'1=,Kl=o-12O-8.213u!|2E-A="=56-19.ᔣ஺=(1,a,3),(3=(2,-4,b)ឋᐵᑣa=,b=10A43▤(▣AḄᑡᔣ444,A3,|A|=3,ᑣ)|2A1+&,&&ெ=219520011.▤ᑡ0-2678=00812.A,B43▤t▣y|A|=-2,IBI=3,u!113Ab\ATBT\=M23ஹ13.(▣A=214,ᑣAT=ஹ312,ஹ⌱⚪1A43▤t▣y|A|=2,ᑣHA|A|=().A4B-4C16D-162ஹAஹB4n▤t▣z{AB=O,ᑣᨵ()AஹA=0ᡈB=0BஹA+B=OCஹ|A|=0ᡈ|B|=0Dஹ|A|+|B|=O3ஹ3nᔣ%,…%(2sW஻)ឋᐵḄᐙ⌕ᩩH¤()Aஹ¥ᙠᐰ40Ḅᦪkz…ks¨ᑍ%+1<2%+…+ksa,=0Bஹ%«¬®!ᔣ¯ឋ°ᐵCஹ±a?…4¬¥ᙠ!ᔣ³´ᵨᐸ¶ᔣឋ⊤¸Dஹ%,a?…4¬®!ᔣ¯´ᵨᐸ¶ᔣឋ⊤¸

116allal2a133a“3a123a[34..ᑡa21a22a23=3,ᑣ3a3i3a323a33=()a31a32a333a2i3a223a23(A.)-81(B.)-9©.9(D).815.A,Bᙳ4n▤t▣º☢¼½¾Ḅ¤()(A)AB=O,uUA=OᡈB=0(B)A,Bᙳ⌮u1M(48¿=4-g(C)(34¿=347(D)A⌮yAB=OᑣB=06.A4n▤t▣yº☢¼½¾Ḅ¤()(A)ÀឋtÁAX=OᨵÂTÃ(B)AḄn!ᔣឋ°ᐵ(C)A⌮(D)R(A)=n7.A4n▤t▣yR(A)=r

117'10-12ஹÍஹÉÊA=1-123,ËAÎ▣ḄÏ஺ஹ2-246,Ðஹᨵᔣ«=2,4,2ஹ%=1,1,0ஹ03=2,3,1ஹa=3,3,2,˳ḄÏÑ!᩽ᜧ°ᐵ஺4kxi+x+x=l23Óஹ12ᑖk4ÕQÀឋtÁJx+kx+x=k123ixi+x+kx=k2231ᨵÖÃK2°ÃK3ᨵ°×Ø!ÃÙᵨÚẠÃÜ⊤ÝÞßàᜧ“âᓣä”æᦪçèéêëᔁíî⚪3ᑖx6=18ᑖI00X2dðcostdt=3.òó=/2è3+1Ḅôõ44.ᙠîö÷>ᙶ᪗ܬtÁ/+/=%⊤ÝḄø6¤5.1=1ùð'/ú,'.,ᦋᐸüᑖ\u|ý=_____________JOJx3-x2.-----X<16.ÉÊ/x={2ᙠi0,2ÿᨽᳮḄᩩᑣᨽᳮḄ4=____________.⌱⚪4ᑖx5=20ᑖ1.y=d+i2x+lᙠ%&ᑁAᓫ*+,Bᓫ*./C1234D12362,1ZX2.:/x={xsin?ᙠx=0ᜐABC|Xax+bA)a=l,b=0BFGHIᦪ

118C)Q=0/=0Da=1KFGHIᦪ4.jsin2xdx=()112(A)—cos2x+c(B)——cos2x+c(C)cosx+c(D)-sin2x+c225,:y=/(sinx)ᔓdy=()(A)y=f'(sinx)sinxdx(B)y=/"(sinx)dx(C)y=/r(sinx)cosxdx(D)y=/(sinx)sinxdxV.WX⚪(5ᑖx6=30ᑖ)|°cosr2JrL:y=/(x)ᵫ_`a=/+)ᡠcde2.dlimg--------—0+xln(l+x)x=ln(l+r2)d3.4.hi

119.(6ᑖ)y=2+Q7Ad1)ᓫ*v᩽2)64v3)tᜧ“ᓣ”ᦪ¡¢£¤¥ᔁ§.¨©⚪(3ᑖx5=15ᑖ)1191.Iim(sin—+----)x-=xsinx2.:z=ln(sinx+xy\C!Jᒹ=____________,—=______________dxdy3.:/(x)3¯°±ᦪ²/(x)=x+21/পKCljf(x)=4.:µᔆḄᦈ¸±ᦪFR=Q(16-Q),ᑣ»¼Q=Rᨬᜧ஺11.r;25.WX1=^dy¾exdx+¾dy¾e'dx=422⌱⚪(3ᑖx5=15ᑖ)1.4ÀÁK=()dxJ)A0B71+x2CVl+x22xDVT+x2.±ᦪᙠᐸ%ᑁÅ()A.ᓫ*B¯°CABDᨵÆ3.>=᮱+¾+8,ᑣyÊ(x)=()(A)0(B)8x(C)8!x(D)8!4.:=‒+6,ᑣ̱ᦪḄ᩽ᜧv᩽ÍḄÎF()(A)-12(B)36(C)10(D)§36

1205.஺Ḅº()./(x)=Jrsm~ᙠx=0ᜐ½¾0x<0¿4#À(A)a>0(B)a

121~.d|ᑖ(2x7=14ᑖ)পTÕdxJcos~Xফf1+Vx.8ᑖ:/×=Ø+x>01,d¯°±ᦪ”x..010ᑖ1dÙty=x,y=l/x,x=2,y=0ᡠxz☢12Ḅ☢|2dÚ12ÛxÜÝÞᡠßÝÞÓḄÓ|

122à.08ᑖWXá|ᑖJâ»Zd.ᐸãD={x,ylx2y2<36}+Dᜧ“ᓣ”ᦪ¡¢£¤¥ᔁVVஹᓫ⚗⌱È⚪3Éᜧ⚪ᐳ5y⚪.Ëy⚪3ᑖ.ᐳ15ᑖ1.ÌÉÍÎÏᦪᙠᐸOPÑᑁ3A.½¾B.#ÀC.#ÒD.ÓÔᫀÖ4E2.×*y=4ᑗ*ḄØ᳛1Ḅ11)A.B.(1,1)C.(4,2)D.4'2)44713.Ïᦪf(x)=~^=-V·.ᑣf()=()ÚX67D.6664.z=x2sin3y,ᑣVÛ()0A.-3x2cos3yB.-x2cos3yC.x2cos3yD.3x2cos3y5.j/(x)Jx=F(x)+C,¹ijJ/(2x+l)dx=()A.2F(2x+l)+CB.-F(2x+1)+CC.-F(x)+CD.2F(x)+C22Ûஹµ¶⚪(Éᜧ⚪ᐳ5y⚪.Ëy⚪3ᑖ.ᐳ15ᑖ)1.Ïᦪy=j3-x+arctg—OPÑX.3smஹx2.dxᵨl+2cosx3.d(J/(x)dx)=

1234.x)x,Limxsin-=x->01°X5.£sin2xdx=·ஹÁÂ⚪3Éᜧ⚪ᐳ6y⚪.Ëy⚪5ᑖ.ᐳ30ᑖ2x-erVX1.lim------------2.lim\1Vcosx1஺x33.y=ln(x+dx?+H?),—4.£lxle-lxldxdxn5.Psincos3xdx6z=arctan2dᒹᒹxdxdyÜஹ9ᑖᵫ×*y=xÝ*x=2.¸0ᡠÞß☢ákḄ☢.â7ß☢ákãxäåæᡠ9åæç9ç஺èஹ8ᑖÁÂÛéᑖJJ2x-yda,ᐸ'Dᵫy=l,2x-y+3=0,x+y-3=0ᡠÞᡂDḄÑ.êஹ7ᑖÏᦪy=ët0Ḅᓫíî.᩽º.ïðî.ñ஺òஹ8ᑖóᔆËᢇõ"óöᖪøxᓫùḄúᵨCx=5x+200ᐗ.9ᑮḄ

124ᦈ¸3R(x)=10x-0.01x2(ᐗ)èéᢇëo»ì/ᓫíîïðᑭòᨬᜧ?àஹ(7ᑖ)hif(x)=x2+21,df(x)õᜧ¡2008ö“ᓣ”ὃ¥ᦪ¡¢Aᔁ§ஹ¨©⚪(éÍ⚪3ᑖᐳ18ᑖ)1.᝞ú±ᦪ/(x)ᙠX஺ᜐ¯°ᑣlim/(x)=2.Ùty=/ᙠ(0,1)ᜐḄᑗt_`F3.±ᦪü=ý-111஺+1)ᙠᓫ*þÿ஺4.Jf(x)dx=x2+c»!]/(x)=o5.ᑖDk:/+1,ij^dxdy=஺6.A,B!"▤$⌮&▣(4(45)2=42᜛Ḅᐙ⌕ᩩ./0ஹᓫ⚗⌱5⚪(78⚪3ᑖ(ᐳ15ᑖ)1.;ᑡ=ᦪ?Xf0C/DE8Ḅ()(B)COSX;(C)In|x|M(D)xsin-o2.(lncosx)'=((A)tanx(B)-tanx(C)cotx(D)-cotx(A)-2(B)2

125I224.=ᦪ/Tx,y2=U+VMḄWX/TVo\2x-x-yTAVx1-COSX2.hm-------xf°xtanxsஹno⚪T78⚪5ᑖ(ᐳ30ᑖVsinx1.t=ᦪ/஺V=uvḄwxy(zdWᐸ|}஺xTx-lV2,~x+y-Inx-Iny=0,t஺dx3.no஺Jxlnxi4.noparcsin2xdx஺5.z=e,(*34,t(஺dxdy6.no0ᑖ^xexydxdy,!0441,-1”40஺D'210ஹ(\2ஹஹ▣A=121,B=34,~AX=X+B,t▣X஺(8ᑖ)1012)ஹ⌕ᑴbᙊᜮ(HR¡᪵£(¤"᪵¥;ᩞᧇᨬḕªT8ᑖV

126«ஹt¬[y=L,y=J7,y=2ᡠ°ᡂḄ²Ḅ☢(7ᑖ஺X2r2+1´ஹ᝞¶lim/(x)·ᙠ(¹f(x)=X3+-----+21imf(x),t/(x).(4ᑖ)XT1X+lXT1Aᔁ»ὃ½ᫀbஹ¿À⚪(78⚪3ᑖ(ᐳ18ᑖ)1./(x);2.y=x+lM3.(-1,0)M4.2x5.7tM6.AB=BA°00ஹᓫ⚗⌱5⚪(78⚪3ᑖ(ᐳ15ᑖ)1.(D);2.(B);3.(0;4.(B);5.(D).kஹ᩽▲no⚪(78⚪5ᑖ(ᐳ10ᑖ)1lim-——2"+I=lim(x-1)=0XfX—1XT]l2cÃ1-cosxÃ2x12.lim------==—IxtanxIx2sஹno⚪(78⚪5ᑖ(ᐳ30ᑖ)1.fwxyx=0,x=l,ᐸ?x=0/$Äwxy(x=l/Å0|(ᡈDE})wxy஺2.fÇÈtÉÊl+y(—L—_1Ì=0,ᡠÍᵯ£ᓃ¥xydxxy-x3.f[—--dx=Inx=In|ln+CJxlnx4.f

12711J2rarcsin2xdx=xarcsin2xApx/dx27171=——+2-0-4425.f—=(2^+3/)ex2y+3xy2(—=(x2+6xy)ex2y+3xy2dxdy6.f^xexydxdy=JxxexydyD=,1be-'”x=(x+er)M=e-'ஹ(8ᑖ)fᵫAX=X+8Ê(A—/)X=8,Ñ‘110ஹ’01-rA—/=111,Ê(A-/1=1-1i,ᡠÍூ஺1"oj1-11’01-1V12](13ஹX=(A-iy'B=1-1134=0-1012”122,ஹT1ஹT8ᑖVfᙊᜮḄ×W¥!஺(!“(!R,⊤☢!S,ᑣ7rR2H=a,S=2ᐔR2+2JTRH஺Ú/ᨵ"=0(ÛᐭSÊS=2ᐔR?+”,R>0RtÉÊdS.2a4ᐔR'-2an—=4ᐔR——=-----——,dRR-7R2a=0,R=3,Ý/¤SÞᨬ8ßḄy஺àCá=2஺dRâ2ãR«ஹT7ᑖVfᐜt¬[å=’y=4ḄæyÊᡀ=l,y=1,Ú/☢X

1289—dy=(-1/_my'4-ln2s=fyy)3?r2+1´ஹ(4ᑖ)fᔩwᑣ…F+íÇÈt᩽▲Ê:32x2+1C5ca=limf(x)=limx++2஺——F2஺9X->1XfIX+12ᡠÍ"jᦑ32r+1-/w=x+—-5°ñòóôᜧö2008÷“øᓣú”ὃûüýᦪöBᔁbஹ¿À⚪(78⚪3ᑖ(ᐳ18ᑖ)1.lim/(x)·ᙠ/=ᦪ/(x)ᙠy/ᜐÿḄᩩ஺XfXj,2./(x)=In3,ᑣf\x)=o3.ᦪ/(x)=x'+3px+lᙠx=-lᜐJ᩽"#$!jp=o4.ᦪ/(x)=xe-*ᙠ)*ᓫ,-.஺5./0ᨵ234ஹ6ᦪ7Ḅ89:;<ᑖ89஺6.A,8?@▤8▣#$IJA2-B2=(A+B)(A-8)Ḅᐙ⌕ᩩH஺Iஹᓫ⚗⌱L⚪(NO⚪3ᑖ#ᐳ15ᑖ)1.ᦪy=/_lᙠ)*STJUḄᨬᜧ"H()(A)0(B)l(C)2(D)3»2.XXম#ᐸ[஻x)?I▤]^ᦪ,ᑣy=()»(A)V")`(B)e஻"(x)`(C)efM[(f,(x))2+f,(x)]`(D)ef^[f'(x)+f\x)]o

1293.cdeᑖfe"dxᦈh#ᑣ()஺(A)k>0T(B)Z>0(C)k<0Tk<0.4.—arctanxdx=()஺(A)arctanx`(B)arctanb-arctana`(C)0(D)m^஺1+x)o5.A,BHn▤8▣#ᑣ-ᑡrstuvwḄH((A)|A+8|=|A|+|B|`(B)\AB\=\BA\T(C)||A|B|=||B|A|`(D)\A-B\=\B-A\.zஹ᩽▲|}⚪(NO⚪5ᑖ#ᐳ10ᑖ)x~—5x+61.lim---------13X2-8x4-15iolnI+xஹ|}⚪NO⚪5ᑖ#ᐳ30ᑖ1.tey=siny,஺dx2.z=xv+I,dz஺3./஺=7-ᑍ-13Ḅ᩽"஺4.|}S9஺5|}oஹ|}IeᑖUxd#,Dᵫx=2ஹy=q=1ᡠᡂḄ)஺8ᑖஹy=e#,y=e''Rx=1ᡠᡂḄ¡¢Ḅ☢e஺(6ᑖ)¤ஹt89#¥¦§¨©#ª«¬ᙠ©x,yᜐḄᑗ®᳛°±x+y஺

130(5ᑖ)Xஹឋ89³X]+஽+%3=0<2¤t%2+813+314=02·+3X-x=024Ḅ¦¸஺(8ᑖ)Bᔁºὃ¼ᫀtஹ¾¿⚪(NO⚪3ᑖ#ᐳ18ᑖ)1.À⌕`2.03.-1`4.(1,+8)`5.6ᦪḄ^ᦪᡈ<ᑖ;6.AB^BAIஹᓫ⚗⌱L⚪(NO⚪3ᑖ#ᐳ15ᑖ)1.(A)`2.(C)`3.(B)`4.(C)5.(B)zஹ᩽▲|}⚪(NO⚪5ᑖ#ᐳ10ᑖ)«x~—5x+6lim(x-2)U-3)=lim£-2=_l1.hm--------Xf3X2-8X+15-3(x-3)(x—5)x-52X+xᔆ+x[2.lim------=lim------=hm(x+l)=lXT°ln(14-%)10XXT°ஹ|}⚪(NO⚪5ᑖ#ᐳ30ᑖ)1.¸ÉÊ@ËÌÍ^Î-e~x-eyy'=cosyy'9ᡠÏ=t_£2_dxe+cosy2.¸Ð?%=(y+l)x>,—=xv+,Inx,dxdyᡠÏdz=(y+X)xydx+xy+lInxdy

1313.¸ud?(-8,+8),/'(x)=|-1(x-l)3,ᡠÏᨵÓ]^©X=1ÔÕ©x=29Öx2Ë#/,(x)>0,Ölᙠx=2ᜐᨵ᩽O"/(2)=-4.¸=ln(l+f)|+?=ln2+?4.¸¯&=t,$(Jx==2Ù#ᡠÏ}"dx=^2te'dt=2^tde'=2te'-2^e'dt=2te'-2e'+C=2°±-2eJcஹ¸!ÛO:Ý¥=Jxlnxdx=`jInxdx2="x~InA,|—-J-xdx3=21n2--4ஹ¸S=-e-3x=(/+e*)|`)=e+/-2¤ஹ¸᪷à⚪á#]89y=/(x)âãä=x+y,y1=o=O,ax¸å<ᑖ89Îy=e'-x-iaXஹ¸Ìæçឋ89³Ḅèᦪé▣êëì°ë3ᣚ#ᓄ?ëᨬï¢Î:

132110ஹq03ñஹ2-183ý01-2-1330ஹ000o>ΰð89³x=-3X-x{34x=2X+x234ᦑᨵ¦¸x=q(-3,2,l,0)#+C2(T,l,0,l)'#ᐸ[qg?óáôᦪ஺

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