关于某些抽象函数原型问题的研究

Research on Some Prototypes of Abstract Function

抽象函数问题既能考查学生对函数概念和性质的理解,又能考查学生的推理和论证能力.利用极限的相关理论和实数理论,给出了4个抽象函数的原型问题的证明.

Abstract function can not only test students＇ understanding of the nature and concept of function, but also can test students＇ ability of reasoning and argumentation. The proof of four abstract function prototypes was provided by limit theories and real number theories.