机构地区: 中国人民解放军总参谋部
出 处: 《辽东学院学报(自然科学版)》 2010年第2期154-156,共3页
摘 要: 《高等数学》(同济大学第五版)的一道例题在与积分中值定理相同的条件之下得到了更强的结论,但是例题的证法导致了教材体系的不严密,在各命题都正确的情形之下,相关命题的推导出现了循环论证的错误。文章指出了这个问题并提出了两种修改的方法。 In an example in Higher Mathematics(the 5th edition,published by Tongji University Press),a better result is obtained by a condition that is the same as integral mean-value theorem,but the proof leads to the imprecision of the teaching material system which results in a circular argument mistake.This problem is pointed out and two methods to modify it are given.