数学分析教学中的反例

On the counter example of mathematical analysis teaching

列举反例作为一种重要的方法,在数学分析教学中起着重要的作用.通过归纳总结,就数学分析中3个重要内容——数列极限、函数导数和函数积分列举了一些重要的反例,从而帮助学生理解和掌握一些较抽象的概念和定理.

The counter example plays an important role in mathematical analysis teaching as a key method.Some special counter examples are shown from three aspects,which are sequence limit,function derivative and integral,these counter example can help students understand some abstract concepts and theorems.