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新课程的高中数学教材里增加了三视图内容,本文说明如何灵活应用这些新知识点. 我们知道,直线是无限延伸的,空间平面也是无限延展的,因此它们可以将各自所在的平面(空间)一分为二,于是经常会遇到下面的问题:空间中的三个平面可以将整个空间分成多少部分.此题可借助三视图(见图1,其中五个图形均以直线代替平面)得到共有4、6、7、8个部分.
The new curriculum of high school mathematics textbooks has added three views. This article shows how to apply these new knowledge points flexibly. We know that straight lines are infinitely extended, and space planes are also infinitely stretched, so they can place their own planes (spaces). Divided into two, so often encountered the following questions: The three planes in space can divide the entire space into several parts. This question can be obtained by means of three views (see Figure 1, in which five figures are replaced by straight lines instead of planes) There are 4, 6, 7 and 8 sections.