| Rolle定理应用中构造思想方法的运用及推广 |
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| 引用本文： | 张泽浩,高哲琴.Rolle定理应用中构造思想方法的运用及推广[J].沧州师专学报,2014(1):40-41,44. |
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| 作者姓名： | 张泽浩 高哲琴 |
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| 作者单位： | [1]沧州师范学院数学系,河北沧州061001 [2]沧州职业技术学院,河北沧州061001 |
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| 摘 要： | 构造思想方法是高等数学中经常使用的重要方法.使用构造思想方法"构造"出一个"特殊函数",应用Rolle中值定理加以证明,再运用类比、猜想、由特殊到一般的思维方式将从证明"特殊函数"所总结归纳出来的特征、规律加以推广,以获得解决更广泛的函数问题的一般方法.
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| 关 键 词： | 构造思想方法 构造函数 中值定理 |
Application and Extension of Structural Thought via Rolle Theorem |
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| ZHANG Ze-hao,GAO Zhe-qin.Application and Extension of Structural Thought via Rolle Theorem[J].Journal of Cangzhou Teachers‘College,2014(1):40-41,44. |
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| Authors: | ZHANG Ze-hao GAO Zhe-qin |
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| Institution: | 1.Department of Mathematics, Cangzhou Normal University, Cangzhou, Hebei 061001, China; 2. Cangzhou Vocational and Technical College, Cangzhou, Hebei 061001, China) |
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| Abstract: | Structure of thinking is an important method frequently used in advanced mathematics. A ＂Special Function＂ is constructed by way of structure of thinking, proved by Rolle Value Theorem. Then the properties and laws of ＂Special Functions＂ is attempted to be popularized by analogy, guessing from speeial to general way of thinking to find a more general method to solve more broader problems of functions. |
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| Keywords: | Structure of thinking construct functions value theorem |
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