球的内接正棱柱体积最大时,对应的高具有怎样的性质?传统教学工具很难支持探究这一问题,用其他软件设计课件来辅助教学也存在缺乏数学味、效率不高等问题。基于数学原理和数学学习过程,文章尝试用几何画板设计课件,辅助解答该问题。 What kind of nature should the corresponding high have when the size of the inscribed positive prism of the ball is the largest? The traditional teaching tools are difficult to support to explore this problem, and the other software design courseware to assist the teaching also has the problems of lack of mathematical taste and inefficiency. Based on mathematical principles and mathematical learning process, the article attempts to design courseware with geometric sketchpad to assist in solving the problem.