f'(x)一致有界，则存在M>0使得，|f'(x)|任意区间x1，x2∈(a,b)由拉格朗日中值定理知|f(x1)-f(x2)|=|f'(ξ)||x1-x2|http://wenku.baidu.com/link?url=vM6motzrlPA6M5ZjwxQ8GZVfzhmJPlazjdVDVhwm0vVEsmeON5xLPqFxQFR4pZmcZXNgyKSG-qJxQD61olN-_w51n8wH5SaSntZF60XILIa
