考研数学笔记 —— 法线
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考研数学笔记 —— 法线

in 高数 with 0 comment, Views is 128

切线法线

$$ \begin{cases} f_{\left( x_0 \right)}^\prime * k = -1 \\ \\ y - y_0 = k \left( x - x_0 \right) \end{cases} $$

曲面法线

$$ z = f_{\left( x, y \right)} = 0 $$

$$ \dfrac{x - x_0}{\frac{\partial z}{\partial x} \mid_{x = x_0}} = \dfrac{y - y_0}{\frac{\partial z}{\partial y} \mid_{y = y_0}} $$

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