| 基于均值不等式巧解函数最值问题 |
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| 引用本文： | 赵培信,归雪萍.基于均值不等式巧解函数最值问题[J].科教文汇,2011(9):86-87. |
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| 作者姓名： | 赵培信 归雪萍 |
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| 作者单位： | 河池学院数学系,广西·宜州,546300 |
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| 基金项目： | 河池学院应用数学重点学科建设项目，河池学院研究生科研启动基金 |
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| 摘 要： | 均值不等式在中学数学中是非常重要的不等式。本文通过对均值不等式在求函数最值中的应用进行分析,开辟了求函数最值的新途径,给求函数最值问题注入了新的生机和活力。对于某些题目可以直接利用公式求解,但是有些题目必须进行巧妙变形后才能利用均值不等式解决。本文通过一些具体的实例来说明均值不等式在求函数最值中的巧妙应用。
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| 关 键 词： | 不等式 极大值 极小值 |
Based on Average Value Inequality Skillful Solution Function Most Value Question |
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| Authors: | Zhao Peixin Gui Xueping |
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| Institution: | Author＇s adress Hechi University,546300,Yizhou,Guangxi,China |
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| Abstract: | The average value inequality in the middle school mathematics is an important inequality.This article through in asks in the function most value to the average value inequality the application to carry on the analysis,opened has asked the function most value the new way,for asked the function most value question to put the new vitality and the vigor.May solve directly regarding certain topics using the formula,but after some topics must carry on the ingenious distortion,can use the average value inequality solution.This article through some concrete examples showed the average value inequality in asks in the function most value the ingenious application. |
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| Keywords: | inequality maximum value minimum value |
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