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在平面几何里,添设辅助线往往是解决问题的关键。同样,在解立体几何问题时,除了要添设辅助线外,还往往要添设辅助面,这是由于空间的一些问题,常常需要转化为平面问题加以解决。这种转化,要靠添设辅助面来实现。本文拟就这个问题谈些粗浅体会。一、通过分析图形上有关元素的位置关系,添设辅助线,构成辅助面有些空间问题,对于没有树起空间概念的初学者,往住看不出图形之间的位置关系,因而也就理不出解题的思路。教师应抓住图中重要的点、线、
In plane geometry, adding auxiliary lines is often the key to solving problems. Similarly, in solving the problem of solid geometry, in addition to adding auxiliary lines, auxiliary surfaces are often added. This is due to some problems in space and often needs to be transformed into planar problems to be solved. This transformation depends on the addition of auxiliary surfaces. This article intends to talk about some superficial experience on this issue. 1. By analyzing the positional relationship of the relevant elements in the graphic, additional auxiliary lines form some spatial problems for the auxiliary surface. For beginners who do not have the concept of space, they do not see the positional relationship between the figures. There is no way to solve the problem. Teachers should seize the important points and lines in the map.