设函数F(x，y)有连续的偏导数，且F(x，y)(ydx+xdy)是某个函u(x，y)的全微分，则F(x，y)应满足()
A、∂F/∂x=∂F/∂y;
B、x(∂F/∂x)=y(∂F/∂y);
C、y(∂F/∂x)=x(∂F/∂y);
D、-x(∂F/∂x)=y(∂F/∂y)．
【正确答案】：B
【题目解析】：∵F+y(∂F/∂y)=F+x(∂F/∂x)∴y(∂F/∂y)=x(∂F/∂x)
设函数F(x，y)有连续的偏导数，且F(x，y)(ydx+xdy)是某个函u(x，y)的全微分，则F(x，y)应满足()
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