利用罗尔定理进行构造性证明的尝试

Try of Engaging in Constructive of Proof by Rolle Theorem

从另一角度证明了中值定理 ,以期启发学生的创造性思维。仍利用罗尔定理来证明其它几个中值定理 ,但从定理结论入手 ,进行构造 ,巧妙中蕴含着规律 ,富有启发性。

The intermediate value theorem is proved from another point of view, for the sake of enlightening creative thought of students. Also, other intermediate value theorems are obtained by Rolle Theorem. These proofs start with conclusions of theorems, engage in construction,and contain regularity in ingenuity,thus full of enlightenment.