“数学归纳法”是高中代数中的一个重点和难点内容,也是一种重要的数学方法。它贯通了高中代数的几大知识点:不等式,数列,三角函数……在使用数学归纳法证题的过程中,应充分理解数学归纳法的实质,掌握数学归纳法的证题步骤(特别要注意递推步骤中归纳假设的运用和恒等变换的运用)。在教学实践中,我觉得其难点有两点:理解数学归纳法证题的有效性;递推步骤中归纳假设的利用。不突破以上难点,学生往往会怀疑数学归纳法的可靠性,或者只是形式上的模仿而不知其所以然。这会对以后的学习造成极大的阻碍。本文通过对几个常见典型例题的分析,探讨使用数学归纳法证题时需要注意的问题。一、思考分析:下列问题,用数学归纳法证明的过程是否正确?如果不正确,错在哪? “Mathematical Induction ” is a high school algebra in a key and difficult content, but also an important mathematical method. It runs through several knowledge points of high school algebra: inequality, sequence, trigonometric function ... In the process of using mathematical induction, it is necessary to fully understand the essence of mathematical induction and master the testimony steps of mathematical induction Note the use of induction assumptions and the application of identity transformations in the recursion step). In teaching practice, I think there are two difficult points: to understand the validity of the proof of mathematical induction; recursive steps to summarize the use of assumptions. Do not break through the above difficulties, students often suspect the reliability of mathematical induction, or just a form of imitation and I do not know why. This will be a great obstacle to the future of learning. This article analyzes several common typical examples to explore the issues that need attention when using the proof of mathematical induction. First, thinking and analysis: the following questions, using mathematical induction to prove the process is correct? If not correct, where is the fault?