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简单地说,抽象函数问题就是只给出函数的某些性质和相关条件,不给出函数的解析式的有关函数问题．由于没有给出函数的解析式,所以这类问题具有一定的抽象性,问题的解决就学生对函数相关性质的理解和思维的灵活性提出了较高的要求．此类问题的解决,同学们往往感到棘手,本文仅就抽象函数单调性及不等式问题的解题策略进行归类解析,期望对同学们有所启发和帮助．
In simple terms, the problem with abstract functions is to give only certain properties of the function and the related conditions, without giving the analytic functions of the function. Because there is no analytic expression of the function, this kind of question has a certain degree of abstraction. The solution to the problem poses higher requirements on students’ understanding of the nature of the function and the flexibility of thinking. This problem is solved, students often feel thorny, this article only on the abstract function monotonicity and inequality problem solving strategies classified analysis, expect to have some inspiration and help to the students.