# 空间向量之应用 3 - PowerPoint PPT Presentation

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## 空间向量之应用3

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### 结论2

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1、怎样利用向量求距离？

• 点到平面的距离：连结该点与平面上任意一点的向量在平面定向法向量上的射影（如果不知道判断方向，可取其射影的绝对值）。

• 点到直线的距离：求出垂线段的向量的模。

• 直线到平面的距离：可以转化为点到平面的距离。

• 平行平面间的距离：转化为直线到平面的距离、点到平面的距离。

• 异面直线间的距离：转化为直线到平面的距离、点到平面的距离。也可运用闭合曲线求公垂线向量的模或共线向量定理和公垂线段定义求出公垂线段向量的模。