关于函数一致连续性的反例及其应用

摘要

通过构造反例研究了一致连续函数的基本问题,讨论了一致连续性和导数的关系,进而给出应用实例和判断函数一致连续性的充分必要条件.%The basic questions of uniformly continuous function are studied by constructing counter-examples,and the relationship between uniform continuity and derivative is discussed,then the application examples and the necessary and sufficient condition of uniformly continuous functions are given.