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抽象函数越来越受到命题者的青睐,解决这类函数问题不仅要求解题者对函数的本质有着深刻的理解,而且还要采取灵活多变的解题方法.而在函数概念及性质的学习过程中,往往是从特殊的函数模型出发,归纳总结出一般性的结论,这一过程体现的是从“特殊到一般”的思维过程.抽象函数体现的即为一类函数的一般性特征,在解决有关抽象函数的问题时,若能将其转变为具体的函数,实现“一般到特殊”的思维逆转,进而对其解析式研究,则可使问题简化.下面举例说明.
Abstract function is more and more favored by the propositional people, to solve the problem of such functions not only requires the solver to have a profound understanding of the nature of the function, but also to take a flexible solution to the problem.And in the function of the concept and nature of learning In the process, it is often starting from a special function model and summarizing the general conclusion, which reflects the thinking process from “special to general ” The abstract function reflects the generality of a class of functions If we can solve the problem of abstract function, we can simplify the problem if we can change it into a concrete function and realize the “general to special” thinking reversal, and then analyze its analytical problems.