Lagrange中值定理的五种证明思路与数学研究  

Five roof Approaches and Mathematical Study of Lagrange Mean Value Theorem

作　　者：许雁琴[1] 

机构地区：[1]河南机电高等专科学校基础部,河南新乡453000

出　　处：《河南机电高等专科学校学报》2011年第5期44-46,共3页Journal of Henan Mechanical and Electrical Engineering College

摘　　要：lagrange中值定理是微分学系列定理中最重要、最具广泛应用性的定理,对其证明方法的探讨与研究备受数学工作者关注。文章从五个不同的角度提出了证明Lagrange中值定理构造辅助函数的思路和方法,并均给予证明。lagrange mean value theorem is one of the most important and widely - applicated theorems in the differential calculus. Thus the discussion and research on the proof of the theorem have been drawing much attention of those who work on mathematics. This paper puts forward the conception and methodology of constructive auxiliary function to prove lagrange mean value theorem from five different angles and also works out the demonstration for each of them.

关 键 词：LAGRANGE中值定理 ROLLE中值定理 辅助函数 

分 类 号：O175[理学—数学]