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换元法是求解高中数学问题的经典思想方法之一,通过换元,可以使问题变生为熟,变难为易。这种方法的关键就是如何合适的选择新元以及如何引入新元,由于题目的不同,学生在解题时应根据条件选择合适的换元法。本文将通过实例介绍换元法常见的三种类型—三角换元法、整体换元法和均值换元法。
The method of changing yuan is one of the classic ways to solve the high school mathematics problem. By changing yuan, you can make the problem familiar to you and make it harder. The key to this method is how to choose the right SGD and how to introduce the SGD. Due to the different topics, students should choose the appropriate method for solving the problem according to the conditions. This article will introduce three kinds of common metamorphosis method through examples: Triangular element method, whole element method and mean value method.