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定积分概念中蕴含的辩证思想
引用本文:李彩凤.定积分概念中蕴含的辩证思想[J].河池师专学报,2013(5):105-107.
作者姓名:李彩凤
作者单位:河池学院数学与统计学院。广西宜州546300
基金项目:河池学院科研基金资助项目(2012E-A004).
摘    要:定积分概念蕴涵着丰富的辩证思想。在认识定积分的产生过程、学习定积分概念的引例、应用定积分三个教学活动中,利用辩证法思想认识定积分概念中的极限本质之间的联系,从而帮助深入理解定积分的概念。

关 键 词:定积分概念  辩证思想  极限

On the Dialectical Thinking in the Definition of Definite Integral
Institution:LI Cai - feng ( School of Mathematics and Statistics, Hechi University, Yizhou, Guangxi 546300, China)
Abstract:There are lots of dialectical thoughts in the definition of definite integral. In the three teaching activities of knowing the process of definite integral' s producing, learning definite integral' s cited examples, and applying definite integral, dialectical thoughts are used to learn the relationship between the limit and the nature of definite integral' s definition, and to help further understand the definition.
Keywords:definition of definite integral  dialectical thoughts  limit
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