摘要
平面束方程是解决有关直线和平面问题的常用工具.针对教材中对平面束方程语焉不详的情况,利用线性方程组以及向量组的线性相关性等知识,详细证明了平面束方程的定义,给出了平面束方程的一般定义及简化形式.通过具体例题,说明在求解有关平面和直线问题时,应用平面束方程是一个快捷有效的方法.
Equation of plane pencil is a frequently-used tool to solve the problems about straight line and plane. In this paper, we proved the definition of equation of plane pencil by utilizing linear systems and linear dependence of a bunch of vectors, and provided the general definition and simplified form of equation of plane pencil. Moreover, the specific examples showed that using equation of plane pencil to solve the problems with plane and straight line is a effective method.
出处
《湖南理工学院学报（自然科学版）》
CAS
2016年第4期20-23,共4页
Journal of Hunan Institute of Science and Technology(Natural Sciences)
基金
河南省高等学校重点科研项目(17A120012)
商丘工学院教育教学改革研究重点项目(2015XJGLX08)
商丘工学院本科精品课程建设项目(BKJPKCHLX201206)
关键词
平面束方程
线性方程组
应用
equation of plane pencil, system of linear equations, application
