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在解题过程中,有时需要根据实际情况引进新的变量以化简原有的复杂式子,使问题的本质能清晰地显现出来,这种解题方法,我们称之为换元法.换元法的理论依据是等量代换,它是借用一种语言符号来表达同一个问题.换元法的本质是转化,通过换元,将问题转化为我们比较熟悉的形式,它体现了思维的灵活性和创造性.换元法的一般步骤为:设元、换元、求解、回代和检验等.需要注意的是,在换元的同时应该确定好新变量的取值范围,否则有可能前功尽弃.
In the problem-solving process, sometimes need to introduce new variables according to the actual situation to simplify the original complex formula, so that the nature of the problem can be clearly demonstrated, this problem-solving method, we call the metamorphosis method. The theoretical basis of the meta-law is the equivalence substitution, which borrows a linguistic symbol to express the same problem. The essence of the meta-conversion law is transformation, which transforms the problem into our familiar form through the meta-transformation, which embodies the thinking Of the flexibility and creativity. The general steps for the method of yuan change: Set yuan, Yuan Yuan, solution, back to generation and testing, etc. Note that in the swap should be determined at the same time a good range of new variables, or May be abandoned.