2010-2011-2高数下b答案new

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1、'kB$>e`"~<`^H[2010—2011?y2/7??-?
1hfÆa#=Æa(Bf)(_BlCS10SA)C=S#(t8#3<,E15<)1.6f(x,y)R0(x,y)m<!R>0

2、(R+(C).(A)&Z5;<&Z(B)<&Z5;&Z(C)V;<;&Z(D)<&ZRπR142.f(x,y),m<,Tdθf(rcosθ,rsinθ)rdr,(C).00√√√√Z2Z1−x2Z2Z1−x222(A)dxf(x,y)dy(B)dxf(x,y)dy000x√√√√Z2Z1−y2Z

3、2Z1−y222(C)dyf(x,y)dx(D)dyf(x,y)dx0y003.xy=e(C1sinx+C2cosx)(C1,C2,F),w6^/4:*<:+'_,T>:,(B).′′′′′′′′′′′(A)y+2y+y=0(B)y−2y+2y=0(C)y−2y=0(D)y+y=04.zve−z+xy=3R0P(2,1,0)+}v:,(C).(A)2x+y-4=0(B)2x+y-z=4(C)x+2y-4=0(D)2x+y-5=0x−3z−15.
0(3,−1,4)}9Y4=y=+Y4:,(D).25x+3y+1z+4x−3

4、y+1z+4(A)==(B)==215215x+3y−1z+4x−3y+1z−4(C)==(D)==2152156%i#(t8#3<,E15<)1.xz=(x+2y),TR0(1,0)+*e`"~<`^H[1x5.′

5、*<:xy+2y=xsby(1)=3+"_y=3.T#(t8#7<,E14<)y∂2z2),f1.z=f(xy,xd6^m<

6、(,∂x∂y.e:2zHx,y+C^

7、(,∂zy∵=2xyf′+f′,...........................................2∂x1−x22<∂z1=x2f′+f′,...............................................3∵∂y1x2<∂2z11y1∴=2xf′+2xy[f′′x2+f′′]−f′−[f′′x2+f′′]∂x∂y111

8、12xx22x22122x1y′+2x3yf′′+yf′′−′−′′...........................7=2xf11112x2f2x3f220,a,e)+n:.nnn=1ann!an+1(n+1)!e:un=nn,Tun+1=(n+1)n+1.......................................2

9、naa=lim==................................5e,R8;&a

10、DW}vx+y+z=0Y,A+B+C=0.....................................4<5A=−2C,B=C......................................6e`"~<`^H[
}v+09:gW}v:,A(x−1)+B(y−1)+C(z−1)=0.}v:,2x−y−z=0....................................................8<#22-(8<)TI=zdxdydz,Ω
vx+y=z

11、}vz=4++iYΩ.e:iYΩg,22{(x,y,z)

12、x+y6z,06z64}.