中文核心期刊
CSCD来源期刊
中国科技核心期刊
RCCSE中国核心学术期刊
Journal of Chongqing Jiaotong University(Natural Science)

Journal of Chongqing Jiaotong University(Natural Science) ›› 2009, Vol. 28 ›› Issue (5): 976-978.DOI: 10.3969/j.issn.1674-0696.2009.05.40

Previous Articles    

Several?Exploration?Methods?to?Prove?the?Cauchy?Mean?Theorem

ZOU Zhao-nan, TAN Yuan-shun   

  1. School?of?Science,?Chongqing?Jiaotong?University,?Chongqing?400074,?China
  • Received:2009-06-18 Revised:2009-06-30 Online:2009-10-15 Published:2015-04-15

Cauchy微分中值定理的多种探究式证明法

邹兆南,谭远顺   

  1. 重庆交通大学理学院,重庆400074
  • 作者简介:邹兆南(1939—),男,四川仁寿人,教授,主要从事基础数学、数论的教学与研究。
  • 基金资助:
    重庆市教委科学技术研究项目( KT 080404); 重庆市教育科学?? 十一五 规划2006 年度高校重点研究项目 ( 2006??GJ??142)

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Abstract: Taking?the?Cauehy?Mean?Theorem?as?the?research?object,?seven?exploration?methods?are?given?to?prove?the?Cauchy?Mean?Theorem.?The?application?of?exploration?teaching?in?the?process?of?proving?the?theorem?is?discussed,?which?asks?for?higher?demands?of?the?Mathematics?teaching?at?university.

Key words: Cauchy Mean Theorem , exploration teaching , innovation ;

摘要： 以Cauchy中值定理为例,给出了7种Cauchy中值定理的探究式证明方法,探讨了探究式教学法在定理证明 过程中的应用,为大学数学教学提出了更高的要求。

关键词: Cauchy中值定理, 探究式教学, 创新性

CLC Number: