立体几何与平面几何同是研究图形的初等数学分支。它们之间,不论在内容、形式还是处理问题的方法上都有相似之处。可以说,平面几何是立体几何的基础,立体几何则可看作是平面几何在三维空间的拓广。另一方面,由于立体几何研究的是三维空间图形(以下简称空间图形),比平面图形要复杂得多,基本元素也由点、线、形扩充到点、线、面、体。因而,两者又有着很明显的差异。在立几教学中,如果能充分运用它们之间的联系,把立几问题转化为平几问题处理,同时注意到它们之间的差异,深刻认识空间图形的特点,那么就可以降低立几教学的难度,培养学生能力和提高教学质量。一、类比、联想,深化认识,开拓思路不少空间图形的解题方法与相应的平面图形很类似,恰当地运用类比、联想,可以帮助学生较快地找到空间问题的解决方法。 Stereo geometry and plane geometry are elementary mathematics branches of research graphics. There are similarities between them in terms of content, form, and method of dealing with the problem. It can be said that the plane geometry is the basis of three-dimensional geometry, three-dimensional geometry can be seen as three-dimensional geometric plane expansion. On the other hand, as the three-dimensional geometry is studied in three-dimensional space graphics (hereinafter referred to as spatial graphics), much more complex than the planar graphics, the basic elements from point, line, shape expansion to point, line, surface, body. Therefore, there is a clear difference between the two. In establishing teaching, if we can make full use of the connection between them, turn several issues into several problems and pay attention to the differences between them and profoundly understand the characteristics of space graphics, then we can reduce the number of teaching The difficulty of training students ability and improve teaching quality. First, the analogy, Lenovo, deepen understanding, pioneering ideas A lot of space graphics problem solving method and the corresponding graphic is very similar, the proper use of analogy, association, can help students find solutions to space problems faster.