数学教学的主要任务之一是训练思维，故有“数学是思维的体操”之言。在教学中，笔者发现学生在学习中的许多问题和欠缺，诸如对定理公式很熟悉却不能灵活应用；只会按例题的思路做练习，稍作改变便束手无策；着眼于刚学过的定理和方法去思考问题，对综合问题缺乏全面的思维； One of the main tasks of mathematics teaching is the training of thinking. Therefore, there is a saying that “mathematics is the gymnastics of thinking.” In the teaching, the author finds many problems and shortcomings in the students’ learning, such as being familiar with the theorem formula but not being able to apply it flexibly; it will only do exercises according to the ideas of the examples, and will be incapable of making any changes; focusing on the just learned theorems and Ways to think about problems and lack comprehensive thinking on comprehensive issues;