| 几何法在求解函数最值问题中的应用 |
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| 引用本文： | 王贵军.几何法在求解函数最值问题中的应用[J].南阳理工学院学报,2010,2(2):91-94. |
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| 作者姓名： | 王贵军 |
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| 作者单位： | 天水师范学院数学与统计学院,甘肃,天水,741001 |
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| 摘 要： | 本文通过挖掘求解最值问题的几何意义，构造出相应的几何模型，将函数最值问题转化为几何问题，针对不同问题运用构造向量、数形结合、构造曲线等方法求解最值，探求了解决问题的简捷方法，并结合实例探讨了利用几何方法求解一些函数的最值。
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| 关 键 词： | 几何法 函数最值 应用 |
APPLICATIONS OF GEOMETRIC METHOD FOR SOLVING THE MAXIMUM AND MINIMUM OF THE FUNCTION ISSUES |
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| WANG Gui-jun.APPLICATIONS OF GEOMETRIC METHOD FOR SOLVING THE MAXIMUM AND MINIMUM OF THE FUNCTION ISSUES[J].Journal of Nanyang Institute of Technology,2010,2(2):91-94. |
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| Authors: | WANG Gui-jun |
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| Institution: | WANG Gui-jun (School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, China) |
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| Abstract: | By studying the geometric interpretation of the optimal value function, the optimal value problems are transformed into geometric problems and relevant geometric models are constructed. For different problems, constructing vectors method, numeral - form combination method and constructing curves method are used to solve the optimal value problems. Combined with practical examples, the use of geometric method for solving the some of the maximum and minimum of the function is discussed. |
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| Keywords: | Geometric method The maximum and minimum of the function Application |
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