[考研数学]历年真题错题数学错题集

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⚪┯⚪95.8ᐗᦪz=/(xy)=ly(4-x—y)ᙠᵫᨵx+y=6,xjᡠ"#Ḅ%&',DḄ᩽*ஹᨬᜧ*ஹᨬ.*.97.2.4(4)012ឋ456789ᦪḄ:ᦪ;“45:ᦪ;=>ᦪ?▣/ḄA;7ᑣ(A)r-=E456Ax=b^F.(B)ᔆ=஻E456Xx=஺ᨵLF(C))஻=஻E4564r=bᨵLF(D)P<஻E456.4x=bᨵRSTF.97.6Uy=x--2x.y=0.x=l..v=3ᡠ"ᡂḄZ☢\]Ḅ☢^S,_`Z☢\]aFcdeᕜᡠgcdhḄh^V.97.10ᓝஹ(k⚪lᑖ9ᑖ)1p?▣jqBrst4=2-3(1)a,bḄ*:(2)x⌮?▣P{g=B.97.11H^e(k⚪lᑖ8ᑖ)ᎷpXḄ*ᜧ1P{X=-1}=".?{X=l}=:ᙠ{-1

197.12Ꮇpẑy¦§¨ᦪ;©=iḄᢣᦪᑖ¡ᓽᨬ*0ஹYMk(k=1,2).1,y>k(3)X2Ḅὶᔠᭆ᳛ᑖ¡:(4)®(¯+ὡ).98.1.2,«hix-1(2)dx=_______98.7p/(•')ᙠ³´ᙠ(a.b)ᑁxµt/(a)=/(Z>)=1,¶·¸ᙠ(a.6),{g./(஻)+/(஻)¹=1•98.11pº»ᖪ½¾ᕜḄ◤À:XÁ¦§&10,30
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7Ḅº᦮ᦪᖪǾ├ÌᓫÎᖪ½xÏᑭ500ᐗ;ÒÓᜧÔᑣÕÖᜐᳮ¾ᜐᳮ1ᓫÎᖪ½ÙÚ100ᐗ;ÒÓÛᑣx§᜜ÝÞᑺÓÛ,àE¾1ᓫÎᖪ½áÏᑭ300ᐗ;{ᖪÇᡠÏᑭâãä*åJ-9280ᐗ¶æçᨬåÈÉÀ.99.2.5(5)ᎷpᨬX¦§ᢣᦪᑖ¡ᑣèy=min{X.2}Ḅᑖ¡ᦪ()(A)Á³´ᦪ(B)éåᨵê:ëì(C)Á▤îᦪ(D)ាðᨵe:ëì99.11pñ(X,y)ᙠ?▣G={(x,j)|0

2(2)pᦪ/(x)ᙠìᡀ=஺ᜐxµᑣᦪ|/(x)|ᙠìᜐxµḄᐙᑖᩩÁ(A)/(a)=0^1/'(a)=0(B)/(a)=0i¹/'m)#0(C)/(fl)>0j|/'(«)>0(D)/(fl)<0,g/'(«)<000.3þ9z="ஹ',஻=Iny{x2+v2,v=arctau—,d"x00.8ᦪ/(x)ᙠ0.!"f(x)dx=0,"/(A)cosxdx=0*0JO()*+ᙠ(0.,ᑁ.ᙠ/012Ḅ4562,7/(8)=/(4)=000.10‘1-1r=▣4=x4y,?@4ᨵB0CឋEᐵḄᱯHᔣJ2=2.K/ḄLஹ-3-35>ᱯHQ(R⌮=▣P,7UP4PVWXY=▣.00.11Z[\]J(x.y)Ḅ_`ᦪV/U.y)=bc(X.1')+᜜hV)ᐸk^(x.y)m(P(x,y)nKZop_`ᦪ!qrWsḄZ[\]ᨬḄuᐵv2ᦪᑖxVm-qrḄyz_`ᦪᡠWsḄ[\]ᵨḄᦪ}~nKn33K1.(1)[\]ᨬXmYḄ_`ᦪᙠ6)ᵗ(x),XmYḄuᐵvᦪ஺(nJj*£ᑭᵨZo᝱_`Ḅឋ)஺(2)XmYKᔲV

301.1.1◚ᦪ⊈(1)ᦪV0=AI^K\ᐸk0K,1K¡¢ᢗᐭ¥KK§¨ᢗᐭ©,ª4alᙳVᜧ®Ḅ¯ᦪᔓᾠ0=1²Kᐵ®LḄ³ឋV_.01.1.32µ30402222(3)¶ᑡ¸஺=ᑣº»¶ᔜᐔ¾¿À¸ÁmḄQV_____0-70053-2201.1.5ᑗÃÄÅ1ƸǸ(5)[\]ᓻX.yḄᦪ}~nK2,ᑖxV1m4,ªuᐵvᦪV05ᑣ᪷ÊᑗÃÄÅ1ƸP{|X-K|>6)

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HIJ5KL(a,b)HMNOPQᑮ(a,b)HIJ(1)Sᦪf(x)ᙠVWXYHᨵ[\5ᙠ]WX(஺^)HMN5ᑣ(A)`

5(2)Sᦪ/(K)IJ5ᑣᙠtᑡvH▲[xᑖ[\ḄSᦪy5zLᏔSᦪḄ(A)M«)+஻<)".(B)ff[/(r)-/(-O]^.JOJo(C)(D)02.2.3ব48L”▤▣,ᑖLH.BeḄ▣5ᑖᙽ▣c=A0I,1.OB)ᑣcḄ▣c*=14/O]\B\\B*O(A)(B)|IXO5o\A\AO'-|.4*O-(C)(D)ᵨ,O*02.2.4(4)ᓰf¡¢C£¤EḄIJ¥¦v5§¨Ḅᭆ᳛«¬ᑖL(X)j(x)5ᑖ°SᦪᑖLὡ஺)᜜(x)5ᑣ(A)(x)+"(x)zL³¦vḄᭆ᳛«¬.(B)6(x)᜜஺)zL³¦vµḄᑖ°«¬(C)஽(X)+·(x)zL³¦vḄᑖ°«¬(D)£(x)ᑓ(x)zL³¦vᡂḄᭆ᳛«¬02.2.5

6(5)¦vC£.¤Eᑖ°,S“=X+»+…+⁽5ᑣ᪷¾ᑡ᪍ÀÁÂ(Levy-Lmdbemg)y&᩽▲[ᳮ.5`஻ᐙᑖᜧ5S”ÏÐÑÒÓ᝱ᑖ°5O⌕X,X,...,Xxn(A)ᨵCÖḄᦪ×ØÙ.(B)ᨵCÖḄ(Ú.(C)ÑÒÖᢣᦪᑖ°.(D)ÑÒÖÜᦣ¥ᑖ°.02.9ßᐗá()*পL,2ã+3——.=0Vஹ++2X+x-x=0234!"çßᐗáឋ()*(n)Ḅ¢éẠ9ëLafj=(2,-l.o+2.1)r.a,=(-l,2.4.a+8)r.(1)ð()*জḄ¢éẠ9ë(2)`஺Lgòa5()*প.QDᨵ78ôᐳ9?ᙠᨵ78ôᐳ9a5ð0ᐰø78ôᐳ9.03.1.2(2)(t|+X)/údx=03.1.6ôû(6)¦vüXYḄCᐵëᦪL0.5,EX=EY=0,EX2=EK2=2,ᑣE(x+y)\.03.2.3(3)ᦪf(x,y)ᙠ(.%.”))᩽ᑣᑡḄ!(A)$ᙠ%=“)ᜐḄ)ᦪ*+,.(B)/(.%»)ᙠ^=1ᜐḄ)ᦪᜧ+,.(C)/(%,%)ᙠ.1=%ᜐḄ)ᦪ+,.(D)/(.%/)ᙠ)=6ᜐḄ)ᦪ78ᙠ.

703.2.6<6)9:;ᨬX=Y>?@᝱ᑖCDEF7Gᐵᑣ(A)XIY•KLM.(B)(X,Y)?@NO᝱ᑖCP(C)XIYQRLM.(D)X+Y?@O᝱ᑖC.03.5NSTᑖUV┯XUVNSTᑖZ=||"(…[ಘsin(x2+y2)dxdy.Dᐸ^Tᑖ_`D={(*“)/+y2<7t}.03.6aᦪ;ᣚcda>l,ᙠ(v,+8)ᑁḄlmf(a).namopt(a)ᨬrstuᨬ.04.1.5vawx▣Kz(5)/Nভ}!v~x▣D1=1b=(L0.0)rᑣឋ4x=bḄ!.04.1.6,᪗(6)9:;X?@ᦪm7ḄᢣᦪᑖCᑣP{Xு“}=.04.16,2ᐗTᑖawឋ⚗n⚪ᓄᡂP,rdḄn⚪tJJ(+>2+y)dcrᐸ^D!ᵫ£,+.1¤=4=(x+l)2+y~=1ᡠᡂḄ¦☢_`(᝞©).

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904.23ᑖíF(X)=f(X)Ḅïz9:;ᨬXᙠ_ð(0.1)ñ?@ᙳᒴᑖCᙠX=x(0i}.05.2.1(7)þaFᑡÿ
ᦪ/(x)=2/-91+12*-஺ាᨵḄ.(A)2.(B)4.(C)6.(D)8.05.2.11D⌱⚗ᑨ)(11)*+,-⚪/01Ḅ2(A)34মᙠ(0,1)ᑁ9:ᑣf(x)ᙠ(0,1)ᑁᨵ=.(B)3f(x)ᙠ(0,1)ᑁ9:ᑣf(x)ᙠ(0,1)ᑁᨵ=.(C)34(X)ᙠ(0,1)ᑁᨵ=,ᑣf(x)ᙠ(0,1)ᑁᨵ=.(D)3/(X)ᙠ(0.1)ᑁᨵ=ᑣ/'(X)ᙠ(0,1)ᑁᨵ=.05.2.14(14)@Xi.A2…-X”•…DEFᑖHḄIJKLᑡH•ᙳOPQᦪDR(2>1)ḄᢣᦪᑖHTজ(V)D᪗X0᝱ᑖHᦪᑣ(A)limP{-^-7=—

1005.18Tz᝞|}i~f(xy)=.v2-J+2ᙠᙊ஺={(.'")/+41}Ḅᨬᜧ
ᨬ
.7405.20~Ḅa,b,c⌕ᦪ2ᔲᔠ〉ឋXi+2X+3X=0.23(i)<2Xj+3X+5.0=0,2Xi+x+ax=0,2iXj+bx+cx=0.23(ii),2xj+b'x+(c+l).r=0,23i~a,bஹcḄ
.05.22@¢£IJKᨬ(X,Y)Ḅᭆ᳛§¨D1,02)Dᩭ»¼½N(0,b2)Ḅ¿ᓫIJ᪵ÂÃD᪵Âᙳ
TY.=X.-X,i=l,2<-,w.~¢(I)ZḄÆ஺ᓃÈ=1,2,…(n)XÉᓃḄÊÆC"(xᓃ).(m)P{Y+Y<0}.1n

1106.2ফ@ᦪF(x)ᙠஹ=2ḄÍÎᑁgÏÐ/'(x)=e/(x),/(2)=1ᑣr(2)=106.7dyḄÒ)(7)@ᦪy=f(x)ᐹᨵV▤ÏᦪÐf'(x)>0,f"(x)>0,AxD»KLxᙠÕᜐḄ×LØÉÙᑖ)D“x)ᙠ/ᜐÛÜḄ×LÉÝᑖ3Ax>0,ᑣ[A](A)0

12(19)(10ᑖ)A,B.CḄ!ᦪ#$%e*(1+Bx+஺/)=1+Ax+o(x3)ᐸ*஺(.+),-xt0.//Ḅ0▤234஺.06.205▣789ᣚ;Ḅ5▣Ḅ<=Ḅᑡ>?ᔠA,᩽ᜧ2ᐵ?Ḅ?ᔠ(13ᑖ)E4FᔣH?I=(l+a,Ll.l)r,a=(2,2+a.2,2)$,2=(3,3,3+a,3)Ltz=(4.4.4.4+fl)r,J஺KL#.I.a2.o^.MNឋPᐵQ-4%.஺2$£3MNឋPᐵ.$SᐸT᩽ᜧNឋ2ᐵ?$UᐸVᔣHᵨX᩽ᜧNឋ2ᐵ?Nឋ⊤M.06.210Z,ᱯ\#$]KᨵAX=0(21)(13ᑖ)E3▤_`a5▣NḄᔜ
ᐗefgᙳK3,ᔣHI%=(0.-1,1ᔆ,Nឋjk?Ax=0ḄlTm$(I)S4Ḅᱯ\#nᱯ\ᔣᨬp(II)Sqr5▣஺g`=5▣A,%0r4஺=A.(IU)Sst,4+puv,ᐸ*EK3▤ᓫx5▣.

13

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151.21ᨵ*;<(2—A)xj+2?♦-29=1«2>+(5-A)xi—4xj=2-2xi-4^2+(5-A)^3=A-1A?/@A*;<ᨵB0CஹECஹEFGCHIᙠᨵEFGC@KL*;MḄC.1.22NOPQX,RX,STUᑖWN(O,1).T(I)Kᓃ=X,~X?Yᓃ=x,xḄ*Z,t(n)ᓃ[ᓃᔲ]^ᐵH1.23X,,X….X.^`STḄNOPᡂᨵE(X,)=",D(X,)='.i=1.2.••••”.bx==c£(e0f
.gh(I)E(X)=஻,D(X)=J*(ij=-nX?)τ(OI)E(S:)=".2.2(2)kᑡlᑖ/?஺Ḅ().,".প¶·¸¹²ἠ.(C)J^|sinr|cLr(D)jTyirilyrjQvix2.4JVU7J\U(4)kᑡnopqrḄ()(A)s/(xo)<0,ᑣ/(x)ᙠxoḄtuvᑁᙢḄyz(B)s{)ᙠ4|}᩽ᜧ/.ᑣ€(0f4)@h)ᓫ,H€(X..+3)@/(x)yz(C)s{)ᙠ஺|}᩽/ᑣ/XH)ᙠ஺(D)s/=(c-1)"'ḄᜐḄo*;.

162.14(14)º»9HX¼½¾ᦪK2Ḅ¿ÀᑖÁ,ÂY=3X-2,ᑣCov(X,Y)=2.16ᦪf(t)ᙠ—a,c./(£)>0.sg(x)=J|02|£)¡,¢£g?(r)ᙠ>0஺,஺¤cḄᓫឋ.2.17¯°ÃÄÄM.ᐸ*஺:r1+y*4/(0VaV1).2.19ᦪᙠ1,+8)ᑁ$¥/Gr)VO,limf(i)=a>0,¦z.=/(௃)+2)+…+f(n)—jj(N)dx.©hª«ᦪᑡ1ᦈ,04lim”.4/(I).'2.21ᨵ®¯*;<஺11X\+anxt+—+஺1±=²aii>i+a2i*+…+araiy.“஺a?iXj+ax4--+5H=8a\ty\+³”µ=0Z22a.iZi2+…=*aid++…ᓝn°Y*;(DI)^iyi+8%+…+-0,ᐸpᔣQb=(3·$….63¥0hª*;<(I)ᨵCḄᐙᑖ⌕ᩩ»(H)Ḅ¼¯C½n(*,“¿.%)ÁÂÃÄ*;(Å).3.2(2)/(x)ᙠ(0
,48)ᑁ▤$¥()<0"ÆÅ=0,ᑣᙠ(08,0)ᑁL஺X/()().(A)ᓫᜧÇ0(B)ᓫ·Ç0(C)ᓫyzᜧÇ0(D)ᓫyz·Ç03.9(9)ᦪy=y(z)ᵫ*;7T7=/0ÈᡠrᑣÊ=.3.12j஺(12)½=ËÌ(044*)[ÍᡠᵨᡂḄÎ☢ÐÑÒ¥ÍÓÔ0ᕜᡠ}ÓÔÖḄÖl(ᦪ/)V=3.13(13)ᐗØÙ/=XTAXḄÚÛឋᢣᦪ?2,ℍ+A=E,ᑣᐸÞÑ?/

173.1414NOPQXஹyḄᦪàáâEX-EY=0,*Zᑖã?஺X=l,Dy=9.^ᐵäᦪᖿ=-%ᑣᵫᑗçèé]ê9ᨵP{|X+Y|28}W,3.16(x»+y)sin__/+y#o$ÉÊ,0=oëY/,ooᔲìᙠ,tn/.Yíᙠoooᜐᔲ.ëmfë,yᙠ00,0ᜐᔲ$î.3.1712jpinjrsinymaxljsWdxdy.ᐸpD0,-V/3.18/20+K0°(B)0—1°(C)(D)---------01=0^3dxdydydx4.9(9)#$=1,%&*==°)z=siny^y=0)**§inz■ᑣ/(x»y)4.1111+ᦪy,-.ᑖ01y+3dx+cctzdy=0,%jydx=5$ᑣy

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YzᔲjklDgCov(ᓃNᓃm——V(D)o▣q)ḄᱯḄr•UOVk<1»I2zLf\I2))6.2(2)ᑡstuWvḄ().(A)+z=/(x,y)ᙠM„(x,>)ᜐwᙠx^ᦪNᑣyᙠM஺z_{|00(B)+z=f(x.y)ᙠM஺z]..ᑣyᙠMozḄ▤x^ᦪ{|(C)+z=/(M”)ᙠM

20X.012(7)ghijMḄᭆ᳛ᑖno----------------------------(i=1.2),-pqp1/21/41/4P{X,X=0)=1,ᑣP{X=X}=().t}2(A)0(B)j(C)y(D)l6.15/(x)=|ஹ
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*h)=coi=>?XḄᑖENᑣHᙠ()(A)!(B)[•"[(C)[O,»rJ(“)[—"f"]r•7.18ᦪJQ—/3.L).ᙠQ¡ᢝḄ£¤N¥᳛>§¨▭ªᣚ᳛ᑶḄL,"ឋN®J¯§LḄªᣚឋ.CESᦪF(4,L)=A[&f+(1—0°"]4Ḅªᣚឋ.7.19±ᖪ³Ḅ´µᡂ¶■rw·¸ᵨsᙳ)NḄᦪ.=ḼNḄP»N├µᡂ¶Ḅ?ᓄ᳛cw¾¸ᵨḄ᎔ᦪᦪ5Àr.awÁ¸ᵨḄ?ᓄ᳛Jw¾¸ᵨḄÂÃḄjÄᦪ•+&t=஺),´µᡂ¶y=஺Nw¾¸ᵨs=10,Å├µᡂ¶)ḄᦪᐵÆwǸᵨ)ḄᦪᐵÆ.7.20LI1=>?XABdᦪJ¯ḄᢣᦪᑖEN%E(X)=2,§XlᙢÉÊËÌ6ÍNᵨY⊤1-11ÏËÌÐcln4ḄÍᦪNÑÒÓ4=Y4-2ᨵÉᱯt—3—35(I)A]§ÕᓄḄᭆ᳛(D)&A]§Õᓄ)N]⌮o▣Pbk'APJ§Õo▣•7.21+AஹSᙳJ஻▤Wo▣NØÙ(I)wᙠ]⌮o▣Ú,b4=V2(H)ABḄᱯᐰᜧc0.(DI)&AB=B4),ABJWo▣.•.T7.22±ÜÝ>ubᵨ±ÞßḄàᡂᙽᙽNâᨵ35ᙽãJᜓᵨ.åàᡂᙽæçNᑣᓽᵨᙽéᣚNêᑮᐰRæçJìNÒÓàᡂᙽḄíîABdᦪJA=0.01(Ð))ḄᢣᦪᑖENXJ36ïàᡂᙽḄðíî,ᵨuÁ᩽▲ᳮóÜP{X>4200).,▬0(1)=0.84138(2)=0.9772ᵨ4.õi,

227.23ghijxஹy
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(஺)=lim.প¾£5=ᡠÃLI.JT—*0L%ᔆ()ᙠxo()*.(B)ᦪ/(x)ᙠSa,6{xḄᨬᜧÈ%Ḅ᩽ᜧÈ.(C)ᦪ/(x)ᙠ(u,6)ᑁḄ᩽ᜧÈ%ḄᨬᜧÈ.(D)ᦪy=/(T)ᙠ(a.6)ᑁᨵË᩽ᜧÈ.ᑣÌ᩽ᜧÈoᐸᨬᜧÈ.8.8Íxr³ᦪoᐭ(ᓱÐÑÒÓÔÕÖr▤×(oØ=()•(A)A2(B)l/A«(C)2/As(D)3/A*8.9Ù=p(y)%/(x)ḄÛᦪJ(§%ᦪ
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249.18ᦪl4_!AB4/'U4_o/U4_=o/ᵫq?y=/ýHþ,r?h=14stᡂḄv☢xy஺z4s{|oᕜᡠ~{|Ḅᨬ3DḄ☢.9.22ᦪXᙠ0,1
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2510.13211(13)UVᔣXg=AY▣A=121Ḅ⌮Y▣A-1Ḅᱯ]ᔣᨬ•ᑣ/=11210.15஺b/(x)Bᙠ5c/(0)90,F(x)=Jf/fa)h,ij(0,0)kF(x)Ḅlm.10.16bg(z)AnopᦪḄrpᦪ5cg2(t)dt="s+t,uf(x).10.18vwxnyzᵯ|}~├vᖪḄ.᪷ᧇ5ᦈᐭR(ᐗ)ᵯ|ᵨ(ᐗ)}~ᵨy(ᐗ)Ḅᐵᨵ᝞¡Ḅ¢iwR=15+14z+32y—Sxy-2x2£10yl(I)ᙠᵨ¤▲Ḅ¦§¡5uᨬ¨©ᶍ5(n)«ᵨk1.5ᐗ5u¬Ḅᨬ¨©ᶍ.10.23b®¯°±Xஹ²¬³´µ5ᐸᑖ·¸kX¹|-a..a,.aºឋ¼ᐵ5uᔣX½5+afM?+X%,Y/ºឋ¬ᐵḄᭆ᳛.

26ÂÃÄ1.2,1.3(2)b/(x)=1-Á(dn(1+/2x—xz—x)djr(C)JT][(1+>/1—y)x—(2—y)2]d>(D)2^,J(2—x)\/2x—x2dx—^~¤1.5(5)bᔣX½a1.a?,…,a,ºឋ¼ᐵ5ᑣᔣ±½d=஺1+஺2•¨=ᦈᓝÊ?…?X=a1+a.ä=a,+aå).(A)ᔆk᜻ᦪƺឋ¼ᐵ5ᔆkᏔᦪƺឋ¬ᐵ(B)ᔆk᜻ᦪƺឋ¬ᐵ•ᔆkᏔᦪƺឋ¼ᐵ(C)éêëḄìíºឋ¬ᐵ(D)éêëḄ஻íºឋ¼ᐵ1.92(9)lim(e5-1ñ=________________.-஺+1.11(11)JJxdxdy=.3-1.20(20)(Û⚪ᑖ11ᑖ)AஹBᙳ1஻▤7▣E-ABg⌮ÝÞg⌮.1.21(21)(ò⚪ôᑖ11ᑖ)bõ=(%)QNA)="£1,4kḄöᦪ÷ø5cA”*0,᳘A.#0,uAḄú®Y▣A,ḄKûᱯ]ü}éḄᱯ]ᔣX.2.3,2.4(3)b“=/(x,x>,jyz),ᐸþ/(M,V,W)ᐹᨵ
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272.14(14)2(A)A(2)=8(B)/i(2)=oo(C)A(-2)=8(D)A(-2)=8(3)Dìfí▲TḄoEᨵ.ï°0Vy<1.Z>=4/4',l=J-Jyi^da.ᑣ().t(A)ð&I,&I,(B)ð4I)(C)Z<7,

283.19(19)(Û⚪ᑖ11ᑖ)ᙠ0Ou0
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