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求解两异面直线间的距离与公垂线方程的方法
引用本文:马金江,张凤然.求解两异面直线间的距离与公垂线方程的方法[J].高师理科学刊,2007,27(5):73-75.
作者姓名:马金江  张凤然
作者单位:南通大学,理学院,江苏,南通,226007
摘    要:求两异面直线间的距离和公垂线方程是空间解析几何中的一个重要内容.虽然在许多教材中给出了求解公式和公式的推导过程,但求解公式很难记忆,且在实际求解过程中计算量也很大,利用推导公式的方法也相当复杂.通过实例,给出了几种求解两异面直线间的距离和公垂线方程较为直观和简单实用的方法.

关 键 词:异面直线  距离  公垂线  方程
文章编号:1007-9831(2007)05-0073-03
收稿时间:2007-04-06

The method of distance of two lines in different planes and the equation of common perpendicular of lines on different planes
MA Jin-jing,ZHANG Feng-ran.The method of distance of two lines in different planes and the equation of common perpendicular of lines on different planes[J].Journal of Science of Teachers'College and University,2007,27(5):73-75.
Authors:MA Jin-jing  ZHANG Feng-ran
Institution:School of Science, Nantong University, Nantong 226007, China
Abstract:It is an important content to get distance of two lines on different planes and the equation of common erpendicular of lines on different planes in space analytic geometry.In several teaching material,the formula of calculate and the reasoning process has been gaven.But the formula is difficult to remembered,and the quantity of calculate is very large.Summarized several methods to get distance of two lines on different planes and the equation of common perpendicular of lines on different planes by examples.
Keywords:lines on different planes  distance  common perpendicular of line  equation
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