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我们发现在许多数学问题的求解中,若从正面入手直接解题,有时会给解题带来繁琐的计算,甚至会使解题思路受阻.但若从宏观上分析问题的结构特征和内在联系,有意识地放宽考察问题的视角,巧妙设元,利用代换的思想方法,则往往思路简捷且解法独到富有新意.下面给出几种代换方法供参考. 1.三角代换 根据题设条件或题目结构特征,将题中字母利用三角函数形式进行代换的方法叫三角代换.
We find that solving many problems in mathematics and solving problems directly from the front sometimes leads to tedious calculations and even hindered the solution to the problem. However, if we analyze the macroscopic structure of the problem, it is intrinsically linked. , consciously relax the perspective of the investigation of problems, cleverly set up the yuan, the use of substitution method of thinking, it is often simple and straightforward ideas and solution unique novelty. Here are given several substitution methods for reference. 1. Triangle replacement based on the question set the conditions Or the topic structure feature, the method of substituting the letter in the form of a trigonometric function is called triangle replacement.