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在各类考试中,经常遇到与函数方程有关的问题,或直接求解某一给定的函数方程,或根据所给的函数方程确定某些函数值或确定函数具有某种性质,这类问题通常没有通法,解法因题而异,思路灵活而奇趣横生.本文以三个常见的初等代数函数方程为例,探讨其解法.在初等代数函数中,如下三种
In various examinations, problems relating to function equations are often encountered, or a given function equation is solved directly, or certain function values are determined or certain functions are determined according to the given function equations. Usually there is no general method, and the solution method is different because of the problem. The idea is flexible and interesting. This paper takes three common elementary algebraic function equations as examples to discuss its solution. In elementary algebraic functions, the following three