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浅谈微积分中的反例
引用本文:刘娟宁. 浅谈微积分中的反例[J]. 价值工程, 2011, 30(8): 283-284
作者姓名:刘娟宁
作者单位:咸阳职业技术学院,咸阳,712000
摘    要:本文列举了微积分中常见的典型反例,并论述了反例在微积分教学中的作用:一方面可以强化概念、揭示概念的内涵,准确把握概念之间的关系,透彻理解定理的条件;另一方面有助于培养学生的逆向思维能力,更有助于培养学生的数学技能。

关 键 词:反例  微积分  函数  微分  积分

Discussion on Calculus Counter-examples
Liu Juanning. Discussion on Calculus Counter-examples[J]. Value Engineering, 2011, 30(8): 283-284
Authors:Liu Juanning
Affiliation:Liu Juanning(Xianyang Vocational Technical College,Xianyang 712000,China)
Abstract:This article lists Calculus common typical counter-examples and discusses the role of counter-examples in Calculus Teaching.On the one hand,the counter-examples can strengthen the concept and reveal connotation of the concept,it make student exactly grasp the relationship between the concepts,thoroughly understand the conditions of theorem.On the other hand it trains students reverse thinking,what is more it helps to develop the math skills of students.
Keywords:counter-examples  Calculus  function  Differential  Integral
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