也谈直线和平面投影阵的应用  

Projection of a Vector to a Straight Line or a Plane and Its Applications

作　　者：李银成[1] 李瑞新[2] 

机构地区：[1]山西大同大学大同师范分校,山西大同037039 [2]山西大同大学数计学院,山西大同037009

出　　处：《高等数学研究》2011年第2期11-14,共4页Studies in College Mathematics

摘　　要：针对空间解析几何中的投影与垂直问题,引入直线和平面的投影阵与投影公式,从计算空间角与距离,体积和对称以及判断直线共面等方面给出求解结论,以展示投影阵在理论推导和实际计算中的应用.Projection is a useful concept in analytic geometry. In this paper, we present the matrix forms of the projections of a vector to a straight line, as well as to a plane, and illustrate the use of these forms in calculating various quantities and geometric properties in analytic geometry, such as distance, dihedral angle, volume, symmetric points and a plane containing three lines.

关 键 词：投影阵 投影向量 直线 平面 

分 类 号：O182.2[理学—数学]