| 导数在函数图象对称性判断中的应用 |
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| 引用本文： | 何国柱,王刚. 导数在函数图象对称性判断中的应用[J]. 中国西部科技, 2007, 0(7): 50-51 |
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| 作者姓名： | 何国柱 王刚 |
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| 作者单位： | 四川农业大学,四川,都江堰,611830 |
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| 基金项目： | 四川农业大学校科研和教改项目 |
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| 摘 要： | 利用导数的一些性质,发现了函数图象的对称性与函数的一阶、二阶导数的密切关系．根据这些关系,找到了一种判定函数图象是否关于某一直线对称或关于某点成中心对称的方法,这种方法是导数在研究初等函数中的又一应用,用它可以方便地讨论函数的对称性,有较广泛的应用价值．
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| 关 键 词： | 对称性 一阶导数 二阶导数 方法 |
| 修稿时间： | 2007-05-122007-06-22 |
The application of the differentiation in the symmetric distinguish of the functional graph |
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| HE Guo-zhu,wANG Gang. The application of the differentiation in the symmetric distinguish of the functional graph[J]. Science and Technology of West China, 2007, 0(7): 50-51 |
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| Authors: | HE Guo-zhu wANG Gang |
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| Affiliation: | Sichuan Agricultural University,DuJiangYan 611830 |
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| Abstract: | According to the some properties of the differentiation,I found that the symmetry of the graph is closely related to the first-order differentiation and the second-order differentiation.From this,I search for a way to identify the symmetry of the functional graph for the direct line or the central symmetry of the functional graph for the some dot.The method that I found is a application for the differentiation in the junior function,and discuss conveniently the symmetry of the function,and has its application abroad. |
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| Keywords: | symmetry the first-order differentiation the second-order differentiation method |
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