设有界曲面S:z=x+2y在xOy,yOz,zOx坐标面上的投影分别为D_(xy),D_(yz),D_(zx) 则下列曲面积分转化为重积分公式错误的是() A. iint_(S)f(x,y,z), dS = iint_(D_{zx)} f(x,(z-x)/(2),z)sqrt((3)/(2)) , dz , dxB. iint_(S)f(x,y,z), dS = iint_(D_{zx)} f(x,(z-x)/(2),z)sqrt(6) , dz , dxC. iint_(S)f(x,y,z), dS = iint_(D_{yz)} f(z-2y,y,z)sqrt(6) , dy , dzD. iint_(S)f(x,y,z), dS = iint_(D_{xy)} f(x,y,x+2y)sqrt(6) , dx , dy

设有界曲面$S:z=x+2y$在$xOy$,$yOz$,$zOx$坐标面上的投影分别为$D_{xy}$,$D_{yz}$,$D_{zx}$

则下列曲面积分转化为重积分公式错误的是()

• A. $\iint_{S}f(x,y,z)\, dS = \iint_{D_{zx}} f(x,\frac{z-x}{2},z)\sqrt{\frac{3}{2}} \, dz \, dx$
• B. $\iint_{S}f(x,y,z)\, dS = \iint_{D_{zx}} f(x,\frac{z-x}{2},z)\sqrt{6} \, dz \, dx$
• C. $\iint_{S}f(x,y,z)\, dS = \iint_{D_{yz}} f(z-2y,y,z)\sqrt{6} \, dy \, dz$
• D. $\iint_{S}f(x,y,z)\, dS = \iint_{D_{xy}} f(x,y,x+2y)\sqrt{6} \, dx \, dy$