一、引言数列的通项公式一直是数列这部分知识的重中之重,在历年的高考中也是屡见不鲜,但是因为求解通项公式的方法很多,所以对高中学生而言,这部分的知识很难学习,往往就表现在他们在解题时出现错误。这篇论文,主要就是利用有对比性的例题来对学生在应用构造法求解数列的通项公式时所出现的问题进行简单的剖析,分析出错误的所在,并提出可行的办法来尽量的避免这样问题的出现。 I. INTRODUCTION The general formula of series is always the most important part of this series of knowledge. It is not uncommon in the college entrance examination over the years, but because of the many ways to solve the formula, the knowledge of this part is very high Difficult to learn, often manifested in their mistakes in solving problems. This essay mainly uses comparative examples to analyze students’ problems when applying the constructive method to solve the general formula of series, and analyzes where the mistake lies and puts forward feasible solutions to avoid as much as possible The emergence of such problems.