在数学分析中，构造辅助函数是一种极为重要的研究方法。要对辅助函数进行有效的使用，就要熟练的掌握一些相关定理的条件和结论，如罗尔中值定理、泰勒公式，罗马定理，积分第一中值定理等。基于以上定理在本文中我总结了一些特定类型的辅助函数的构造方法。 In mathematical analysis, the construction of auxiliary function is a very important research method. In order to make effective use of auxiliary functions, it is necessary to master the conditions and conclusions of some related theorems, such as Rolle’s mean value theorem, Taylor’s formula, Roman theorem, integral integral first mean value theorem, etc. Based on the above theorem in this paper I summarized some specific types of auxiliary function construction methods.