数学归纳法在高中数学中的应用

The Applications of Mathematical Induction in Senior High School Mathematics

数学归纳法是一种重要的数学论证方法,也是高中阶段选修部分的重要内容。但是,同学们对数学归纳法缺少全面认识,在证明过程中常常出现错误。本文通过查阅有关资料并结合自身所学总结了数学归纳法的证明步骤,归纳了不等式证明的常用方法,整理了学生常犯错误类型并在文章最后提出了一些教学建议。

Mathematical Induction is not only an important mathematical argumentation method, but also an important elective course in high school. However, many students lack understanding of mathematical induction and always make mistakes in the process of proof. This paper mainly analyzes the following four contents by reviewing relevant books and my own learning. First, the steps of proof are summarized. Second, the common methods of inequality proved by mathematical induction are summarized. Third, summarize the types of mistakes students often make. Finally, this paper puts forward some reasonable suggestions.