河南机电高等专科学校学报
河南機電高等專科學校學報
하남궤전고등전과학교학보
JOURNAL OF HENAN MECHANICAL AND ELECTRICAL ENGINEERING COLLEGE
2011年
5期
44-46
,共3页
Lagrange中值定理%Role中值定理%辅助函数
Lagrange中值定理%Role中值定理%輔助函數
Lagrange중치정리%Role중치정리%보조함수
Lagrange mean value theorem%RoUe theorem%auxiliary function
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中值定理是微分學繫列定理中最重要、最具廣汎應用性的定理，對其證明方法的探討與研究備受數學工作者關註。文章從五箇不同的角度提齣瞭證明Lagrange中值定理構造輔助函數的思路和方法，併均給予證明。
lagrange중치정리시미분학계렬정리중최중요、최구엄범응용성적정리，대기증명방법적탐토여연구비수수학공작자관주。문장종오개불동적각도제출료증명Lagrange중치정리구조보조함수적사로화방법，병균급여증명。
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.
