| 微分中值定理教学新探 |
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| 引用本文： | 杨毅,徐根海.微分中值定理教学新探[J].丽水学院学报,2012,34(2):80-83. |
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| 作者姓名： | 杨毅 徐根海 |
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| 作者单位： | 丽水学院理学院,浙江丽水,323000 |
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| 摘 要： | 改变了教材上微分中值定理的呈现顺序，引导学生通过猜想得到柯西中值定理，再推导出拉格朗El中值定理和罗尔中值定理，启发学生构造合适的辅助函数证明微分中值定理。此外，还探讨了微分中值定理的多元化教学。
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| 关 键 词： | 微分中值定理 探究性教学 多元化教学 |
An Exploration on Teaching the Differential Mean Value Theorem |
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| Yang Yi
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Xu Genhai.An Exploration on Teaching the Differential Mean Value Theorem[J].Journal of Lishui University,2012,34(2):80-83. |
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| Authors: | Yang Yi Xu Genhai |
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| Institution: | (College of Science,Lishui University,Lishui Zhejiang 323000,China) |
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| Abstract: | This paper changes the sequence of teaching the differential mean value theorem in teaching material.First,we try to instruct the students to conjecture Cauchy mean value theorem.And then,we deduce Lagrange mean value theorem and Rolle mean value theorem.Finally,we construct a proper auxiliary function so as to prove the differential mean value theorem.Also,we discuss the variety of teaching the differential mean value theorem. |
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| Keywords: | differential mean value theorem exploration the variety of teaching |
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