考研数学笔记 —— 距离公式
in 高数 with 0 comment, Views is 87

考研数学笔记 —— 距离公式

in 高数 with 0 comment, Views is 87

点到点

$$ \begin{cases} 点A \left( x_0, y_0 \right) \\ \\ 点B \left( x_1, y_1 \right) \end{cases} $$

$$ \mid AB \mid = \sqrt{\left( x_1 - x_0 \right)^2 + \left( y_1 - y_0 \right)^2} $$

点到线

$$ \begin{cases} 点A \left( x_0, x_1 \right) \\ \\ 线l: \; Ax + By + C = 0 \end{cases} $$

$$ d = \dfrac{\mid A x_0 + B y_0 + C \mid}{\sqrt{A^2 + B^2}} $$

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