| n维空间中点到直线的距离公式 |
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| 引用本文： | 李艳敏,叶佰英.n维空间中点到直线的距离公式[J].数学学习,2011(2):3-5. |
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| 作者姓名： | 李艳敏 叶佰英 |
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| 作者单位： | 上海行知学院管理系,上海200940 |
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| 摘 要： | 给出n维空间中直线的定义,借助线性方程组解的理论给出n维空间直线的三种表示形式;定义点在直线上的投影,在此基础上定义点到直线的距离;运用矩阵代数中解线性方程组的方法,先得到原点到直线的距离公式,然后利用坐标变换得到n维空间中点到直线的距离公式,二维、三维空间中点到直线的距离公式是其特例.
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| 关 键 词： | n维空间 直线 距离 |
Distance From a Point to a Line in n-Dimensional Space |
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| LI Yan-min,YE Bai-ying.Distance From a Point to a Line in n-Dimensional Space[J].Studies In College Mathematics,2011(2):3-5. |
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| Authors: | LI Yan-min YE Bai-ying |
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| Institution: | (Department of Management, Shanghai Xingzhi College, Shanghai 200940, PRC) |
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| Abstract: | Three different forms of a line in n-dimensional space are presented according to the theory of linear equations. Using tools in solving linear equations, the projection of a point to a line is discussed, and the distance formula for a point to a line is established by first considering the distance from the origin to the line. |
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| Keywords: | n-dimensional space line distance |
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