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就《中值定理》教学的几点思考
引用本文:林璟.就《中值定理》教学的几点思考[J].贵州教育学院学报,2008,19(12):13-16.
作者姓名:林璟
作者单位:毕节学院数学系
摘    要:给出的五种证明方法。通过构造不同的辅助函数,应用了数形结合思想,从中拓展了学生的思路,培养学生的创造性思维,也为发现其他数学定理的证明开辟了思路,为中值定理的教学提供参考及教学思考。

关 键 词:拉格朗日中值定理  罗尔中值定理  辅助函数  罗尔特征

Some thoughts on the teaching of Mean value theorem
LIN Jing.Some thoughts on the teaching of Mean value theorem[J].Journal of Guizhou Educational College(Social Science Edition),2008,19(12):13-16.
Authors:LIN Jing
Institution:LIN Jing ( Department of Mathematics, Bijie University, Bijie, Guizhou, 551700 China)
Abstract:In this paper,we give five methods to prove Lagrange value theorem.From the process of structuring auxiliary function and by applying the combination mathematic theory with graph,we expand the thoughts of students and cultivate their abilities in creative thinking.With these methods,we can also find the proof of other mathematic theorem and can provide reference and thoughts for the teaching of mean value theorem.
Keywords:Lagrange mean value theorem  Rolle mean value theorem  auxiliary function  Rolle characteristics
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