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在中等专业学校数学教科书几何下册立体部分中,关于推导棱柱的体积计算公式有两种方法(见书上146-149页);一种方法是利用相等组成的多面体的概念,在平行六面体的体积基础上,推出棱柱的体积计算公式。这是由特殊情况推广到一般的方法。另一种方法,就是利用祖(日恆)之公理,将棱柱的体积,变换为长方体的体积来计算,从而导出一般的棱柱体积的计算公式。由于该书介绍了上述两种方法,因而当我们处理这一节教材的时候,一定要考虑到这两种方法都讲呢?还是只讲一种呢?如果只讲一种方法,究竟讲哪一种比较好呢?几年来,根据自己的教学体会,由于中等专业学校数学课的教材内容较多,而时间较少的特点,不可能一一都讲。因此只需要向学生讲授一种方
There are two methods for deriving the volume formula of a prism in the three-dimensional part of the geometry book of mathematics textbooks for secondary specialized schools (see pp. 146-149); one method is to use the concept of equal polyhedrons in the parallelepiped. On the basis of volume, the prism volume calculation formula was introduced. This is an extension of the general situation from a special case. Another method is to use the axiom of the ancestor (Nihang) to calculate the volume of the prism by converting it into the volume of the cuboid, and derive the calculation formula for the general prism volume. Since the book describes the above two methods, when we deal with this section of the textbook, we must consider whether the two methods are speaking, or only one? If only one method is spoken, what exactly? One kind is better? Over the past few years, according to their own teaching experience, because of the large number of teaching materials for the mathematics classes in secondary specialized schools, and the characteristics of less time, it is impossible to speak about them all. So only need to teach students a way