关于拉格朗日中值定理证明的注记  

A note on prouing of lagrange 's mid-value theorem

作　　者：梁洪亮[1] 刘孝书[1] 董正华[1] 

机构地区：[1]商丘师范学院数学系,河南商丘476000

出　　处：《商丘职业技术学院学报》2002年第3期26-27,56,共3页JOURNAL OF SHANGQIU POLYTECHNIC

摘　　要：拉格朗日中值定理是微积分学中一个重要定理,对于拉格朗日中值定理的证明,关键是构造一个辅助函数F(X),使F(X)满足罗尔定理的条件f(a)=f(b),由罗尔定理证得结果。Lagrange' s mid - value theorem is an important theorem in Calculus. For its proving , the key is to construct an auxiliary function F(x), so F(x) satisfying Rolls theorem condition ;f(a) =f(b). From Rolls theorem,it is proved . In this paper ,some methods of constructing auxiliary function on proving of Lagrange' s mid - value theorim are given .

关 键 词：罗尔定理 拉格朗日中值定理 辅助函数 

分 类 号：O172.1[理学—数学]