考研数学笔记 – 距离公式
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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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