罗尔中值定理的一些新证法

摘要

We give three new methods proving Rolle's Theorem. The second simple way is only dependent on the well-known Heine-Borel Covering Theorem. This implies that Rolle's Theorem is the direct consequence of completeness of real numbers.%给出了罗尔微分中值定理的三种新的证明方法,其中第二种很简便的方法仅依赖于大家熟知的Heine-Borel有限覆盖定理.由此可见罗尔微分中值定理可以是实数的完备性的直接推论.