高数 曲面方程 切平面方程 高等数学中，如何求一个曲面的切平面方程，能有例题最好了，谢谢...

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F(x，y，z)=z－e^z+2xy－3，
aF/ax=2y，aF/ay=2x，aF/az=1－e^z，
于是法向量为(4，2，0），
故切平面方程是
4(x－1)+2(y－2)=0，化简为
2x+y－4＝0。

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