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从极限的几何意义和函数定义域出发讨论极限定义
引用本文:张府柱.从极限的几何意义和函数定义域出发讨论极限定义[J].六盘水师范高等专科学校学报,2014(2):72-76.
作者姓名:张府柱
作者单位:六盘水师范学院,贵州六盘水553001
摘    要:微积分中基本概念的引入出发点都是其几何背景,从几何意义引入极限的定义,借助直观具体、生动形象的几何情境引出极限和对极限定义中语句的新解读,降低了极限定义的抽象程度,有助于学生对极限的理解和掌握。

关 键 词:极限  几何意义  定义域  讨论  极限定义

On Discussing the Definition of Limit Starting from the Geometric Meaning of Limit and the Definition Domain of Function
ZHANG Fu-zhu.On Discussing the Definition of Limit Starting from the Geometric Meaning of Limit and the Definition Domain of Function[J].Journal of Liupanshui Teachers College,2014(2):72-76.
Authors:ZHANG Fu-zhu
Institution:ZHANG Fu-zhu (Liupanshui Normal University, Liupanshui 553001, China)
Abstract:The starting point of the introduction of the basic concepts in calculus is its geometric background, brings in the definition of limit starting from the geometric meaning, the present article argues that using of intuitive specific, vivid geometric situation leads to the new interpretation of limit and the new statement in the definition of limit, reduces its abstract degree, help students understand and master limit.
Keywords:limit  geometric meaning  definition domain  discussion  definition of limit
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