空间两异面直线的公垂线方程  

Common perpendicular equations of two skew lines in space

作　　者：梅丽[1] 

机构地区：[1]湖北国土资源职业学院数学教研室,湖北武汉430090

出　　处：《高师理科学刊》2014年第3期22-24,共3页Journal of Science of Teachers＇College and University

摘　　要：讨论空间两直线异面时的公垂线方程,给出了在空间直线方程一个为对称式方程另一个为一般方程以及它们都是一般式方程时异面的充要条件,以及它们异面时的公垂线方程,利用向量运算,得到了公垂线方程的一般表达式.The common perpendicular equations are studied when two lines in space are skew. The necessary and sufficient conditions of the two lines being skew are discussed when the one is in symmetric equation and the other general, and both are in general equations. By the use of vector operation, the corresponding general expressions are obtained.

关 键 词：异面直线 公垂线方程 直线方程 向量运算 

分 类 号：O182.2[理学—数学]