抽象函数是没有具体的解析式,只给出它的一些特征、性质或一些特殊关系式的函数。因而显得特别抽象。所以解决抽象函数问题需要从函数的本质出发,考虑其定义,性质,加之解决抽象函数问题时常用的技巧——赋值法,换元法等,尽可能使抽象函数变得不再抽象。这类问题既能全面地考查学生对函数概念和性质的理解以及代数推理和论证能力,又能综合考查学生对数学符号语言的理解和接受能力.对于发展学生的思维能力.尤其是抽象思维能力,渗 Abstract function is no specific analytic, only give some of its characteristics, nature or some special relationship function. It is particularly abstract. Therefore, to solve the problem of abstract function, we need to start from the essence of the function, consider the definition and nature of the function, and the commonly used techniques to solve the problem of abstract function - assignment and metamorphosis, so as to make the abstract function no longer abstract. Such problems not only can comprehensively examine the students’ understanding of the concept and nature of functions, the ability of algebraic reasoning and argumentation, but also comprehensively examine the students’ understanding and acceptance of mathematical sign language to develop students’ thinking ability, especially the abstract thinking ability Infiltration