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。
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.
出处
《贵州教育学院学报》
2008年第12期13-16,共4页
Journal of Guizhou Educational College(Social Science Edition)
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
Lagrangc mean value theorem
Rolle mean value theorem
auxiliary function
Rolle characteristics
