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直线和平面这一章,是立体几何的基础。由于这一章的概念和定理较多,空间观念强,学生难于理清脉络,抓住重点。因此,在毕业复习中,需要认真对待。下面谈谈我组织这一内容复习的几点作法。一、将概念和定理归类总结,理清脉络。直线和平面这一章,是按直线和直线、直线和平面、平面和平面的顺序编排的。复习时,我首先抓住“平行”和“垂直”这两个概念,把分散的有关定理“上珠串线”。比如,直线与直线平行,可以串上下列判定定理:①如果两条直线各与第三条直线平行,则这两条直线互相平行;②两个平行平面与第三平面相交,则两条交线平行;③垂直于同一平面的两条直线平行;④如果一条直线与一个平面平行,并且过这直线的一个平面与这平面相交,则这直线与这交线平行。
The chapters of straight lines and planes are the basis of solid geometry. Because there are many concepts and theorems in this chapter, and the concept of space is strong, it is difficult for students to understand the context and grasp the key points. Therefore, in the review of graduation, we must take it seriously. Let’s talk about some of the practices of reviewing this content of my organization. First, classify concepts and theorems and summarize them. Lines and planes are arranged in the order of lines and lines, lines and planes, planes and planes. When reviewing, I first grasped the concepts of “parallel” and “vertical” and “distribution” the scattered theorems. For example, if the straight line is parallel to the straight line, the following decision theorem can be serialized: 1 If two straight lines are parallel to the third straight line, the two straight lines are parallel to each other; 2 two parallel planes intersect with the third plane, then the two intersect Lines are parallel; 3 two lines that are perpendicular to the same plane are parallel; 4 If a line is parallel to a plane, and a plane that crosses this line intersects the plane, the line is parallel to this line of intersection.