Cauchy微分中值定理的多种探究式证明法

Several Exploration Methods to Prove the Cauchy Mean Theorem

以Cauchy中值定理为例,给出了7种Cauchy中值定理的探究式证明方法,探讨了探究式教学法在定理证明过程中的应用,为大学数学教学提出了更高的要求。

Taking the Cauehy Mean Theorem as the research object, seven exploration methods are given to prove the Cauchy Mean Theorem. The application of exploration teaching in the process of proving the theorem is discussed, which asks for higher demands of the Mathematics teaching at university.