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高中立体几何中,关于三面角的面角及多面角的面角性质定理的教学目的一方面是使学生理解多面角的面角性质并会判断用已知面角能否构成多面角;另一方面是为证明定理“正多面体只有五种”做好必要的准备.实现这个目的关键在于要把这两个定理统一在多面角的面角性质这一概念里.现在我介绍一些在教学上不成熟的经验:
In the high school three-dimensional geometry, the teaching purpose of the face angle property theorem for face angles and polyface angles of trihedral angles is to enable students to understand the face angle properties of the polyhedral angle and determine whether or not the face angle can be used to form a polyhedral angle; The aspect is to prove that theorem “only five kinds of regular polyhedrons” make necessary preparations. The key to achieve this goal is to unify the two theorems in the concept of facet angle properties of polyhedral angles. Now I introduce some teaching methods Mature experience: