摘要
对极值问题 :即已知长方体的 3个面在 3个坐标面上 ,且一顶点在平面 xa+yb+zc=1(a,b,c>0 )上 ,求长方体的最大体积进行了分析和讨论 ,指出了部分文献中存在的错误 。
The paper giver gives an analysis to a problem of extreme value quoted in three reference books as below.Supposed that three planes of a rectangular parallelepioped are on three different coordinate planes,and one of the vertexes is on the plane of xa+yb+ zc=1 (a,b,c>0) then what is the maximum volume of the rectangular parallelepiped? Through the analysis and discussion,this paper points out the mistakes existed in three reference books correction and complement that are needed.
出处
《天津轻工业学院学报》
2002年第3期62-63,共2页
Journal of Tianjin University of Light Industry
关键词
极值问题
平面
坐标面
最大体积
长方体
plane
coordinate plane
vertex
extreme value
maximum volume
