5.下列f(x,y,z)为二次型的是 ()-|||-(A) (x)^2+b(y)^2+c(z)^2; (B) +b(y)^2+cz;-|||-(C) +byz+cxz+dxyz; (D) (x)^2+bxy+cz(x)^2.

( A ) = (x,y,z)|{x)^2+(y)^2+(z)^2=(a)^2,zgeqslant 0} ( B ) = (x,y,z)|{x)^2+(y)^

球面^2+(y)^2+(z)^2+4x+6y+2z+10=0的球心坐标为A.^2+(y)^2+(z)^2+4x+6y+2z+10=0B.^2+(y)^2+(z)

函数(z)=(x)^2+(y)^2i ( ).A.仅在(z)=(x)^2+(y)^2i上解析;B.在除(z)=(x)^2+(y)^2i之外的复平面上

设(x,y,z)=(x)^2+(y)^3+z,求(x,y,z)=(x)^2+(y)^3+z,在点(x,y,z)=(x)^2+(y)^3+z,处沿方向(x,y,z

D(X) =1,D(Y) =2,X与Y相互独立,Z=2 X+Y,则D(Z) = ( )A 1 B 2 C 4 D 6D(X)=1,D(Y)=2,X与Y相互独立,

设函数(x,y,z)=2(x)^3y-3(y)^2z在点(x,y,z)=2(x)^3y-3(y)^2z处梯度的模为(x,y,z)=2(x)^3y-3(y)^2z

设I为空间曲线 ) (x)^2+(y)^2+(z)^2=(R)^2 x+y+z=0-|||-B πR 2-|||-C 2πR 3-|||-D 2πR 2

求旋转曲面=(x)^2+(y)^2在点=(x)^2+(y)^2处的法线方程A.=(x)^2+(y)^2B.=(x)^2+(y)^2C.=(x)^2+(y)^2D

(2)已知 =V(x,y,z)=dfrac ({x)^2}({a)^2}+dfrac ({y)^2}({b)^2}+dfrac ({z)^2}({c)^2},

曲面z=√2-x^2-y^2及z=√2-x^2-y^2所围成部分在z=√2-x^2-y^2坐标面上的投影为z=√2-x^2-y^2A z=√2-x^2-y^2