Skill Math Graduate

数学笔记 - 法线

Posted by Oscaner on October 6, 2018

切线法线

切线斜率 * 法线斜率 = -1

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

曲面法线

\[设曲线方程: z = f_{( x, y )} = 0\]

点(x0, y0)处的法线

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

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