基于Darboux定理论证的几个重要性质及其应用  

Several important properties as well as application of the argumentation based on Darboux theorem

作　　者：李胜正[1] 

机构地区：[1]山东轻工业学院数理学院,山东济南250353

出　　处：《山东轻工业学院学报（自然科学版）》2010年第1期90-93,共4页Journal of Shandong Polytechnic University

摘　　要：本文通过从Darboux定理这一角度出发,阐述了微积分学中的一些常见的重要性质,简明扼要,论证充分。并且可以将这种论证方法渗透到教学中去。最后举例说明Darboux定理的应用。In this paper, a series of familiar important properties in calculus are expounded from a point of view of Darboux theorem, it is compendious and its argumentation is sufficient. Besides, such argumentation method can be infiltrated in teaching. At last, application of the Darboux theorem is illustrated by examples.

关 键 词：闭区间 连续函数 导函数 介值性 

分 类 号：O172[理学—数学]