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空间的直线和平面的位置关系及其所组成图形的性质,是立体几何最基本、最重要的知识,这一章知识的掌握情况,对学习立体几何的整个内容关系甚大。本文就空间的直线和平面的教学,谈几点看法。一、关于定理的教学教材对于空间的直线和平面的位置关系的编排如下:首先分别提出直线和直线、直线和平面、平面和平面的位置关系的各种情况。然后分别着重研究直线和直线、直线和平面、平面和平面的平行与垂直关系,推证了有关的判定定理和性质定理;最后研究一些斜交的问题。这里,平行和垂直关系的判定和性质应当是教学的重点。三垂线定理及其逆
The relationship between the position of the line and the plane of space and the nature of the graphics formed by it are the most basic and important knowledge of solid geometry. The mastery of knowledge in this chapter has a great bearing on the whole content of solid geometry. This article on the space of the line and plane teaching, talk about a few comments. First, the teaching of the theorem Teaching space for the linear and the relationship between the layout of the plane as follows: First, respectively, straight line and straight line, and plane, plane and plane position of the various situations. Then we focus on the parallel and vertical relations between straight line and straight line, straight line and plane, plane and plane, respectively. We also conclude the theorems of judgment and property. Finally, we study some problems of skewness. Here, the judgment and nature of parallel and vertical relations should be the focus of teaching. Three perpendicular lines theorem and its inverse