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空间点到直线距离公式探析
引用本文:杨瑜.空间点到直线距离公式探析[J].高师理科学刊,2011,31(2):48-50.
作者姓名:杨瑜
作者单位:宿迁高等师范学校,数学系,江苏,宿迁,223800
摘    要:利用向量的双重外积、点关于平面的离差的相关知识及已有的空间点到直线的距离公式推出空间点到直线距离的2个新公式.当直线的方程是一般式方程时,应用这2个公式可以直接求解空间点到直线的距离.

关 键 词:离差  双重外积  直线  距离

Exploration of the formula for distance between a point and a straight line
YANG Yu.Exploration of the formula for distance between a point and a straight line[J].Journal of Science of Teachers'College and University,2011,31(2):48-50.
Authors:YANG Yu
Institution:YANG Yu(Department of Mathematics,Suqian Higher Normal School,Suqian 223800,China)
Abstract:Based on the double cross product of vector,the deviation between a point and a plane and the existing formula for the distance between a point and a straight line in a space,two new formulas for distance between point and plane was derived.In particular,these two formulas can be applied directly to solve the distance between the point and the straight line in a space when the equation of a straight line is general.
Keywords:deviation  double cross product  straight line  distance  
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