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学习空间的直线和平面的位置关系,对学生形成正确的空间观念,加深对空间图形的理性认识是至关重要的。本文就现行高中课本《数学》第二册第五章中的这部分内容的教学提出几点粗浅的意见。 一、讲解概念时要注意准确性 平面几何的基本元素是点和直线。对点和直线的一些基本性质,学生已经比较熟悉。空间图形一般是由点、线、面构成的,因此要树立正确的空间观念,首先应该很好地理解平面的性质。 几何中“平面”的概念是从现实中抽象出来的,但学生在初学时往往将它与现实中的平面混淆,如认为两个平面可以只有一个公共点,直线可以只有一段
The positional relationship between the straight line and the plane of the learning space is crucial for students to form the correct spatial concept and deepen the rational knowledge of the spatial pattern. This article proposes some superficial opinions on the teaching of this part of the current high school textbook “Mathematics” Volume II. First, pay attention to accuracy when explaining concepts The basic elements of plane geometry are points and lines. Students are already familiar with some of the basic characteristics of points and lines. Spatial graphics are generally composed of points, lines, and faces. Therefore, to establish a correct concept of space, we must first understand the nature of planes. The concept of “plane” in geometry is abstracted from reality, but students often confuse it with the plane in reality when they are learning. For example, if two planes are considered to have only one common point, the straight line can have only one segment.