| 求一类函数最值的几何方法 |
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| 引用本文： | 余盛利,周建新,程舰.求一类函数最值的几何方法[J].湖北师范学院学报(自然科学版),2013(2):98-102. |
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| 作者姓名： | 余盛利 周建新 程舰 |
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| 作者单位： | 湖北师范学院数学与统计学院,湖北黄石435002 |
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| 摘 要： | 针对求含有二次根式的和的一元、二元函数的最值问题,根据函数表达式的结构,把函数的最值问题转化为初等几何中距离的最值,再通过几何直观的方法,使问题得到解决。
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| 关 键 词： | 函数 最值 二次根式 距离 |
Geometric solutions to maximum value of a class of functions |
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| YU Sheng-li,ZHOU Jian-xin,CHENG Jian.Geometric solutions to maximum value of a class of functions[J].Journal of Hubei Normal University(Natural Science),2013(2):98-102. |
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| Authors: | YU Sheng-li ZHOU Jian-xin CHENG Jian |
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| Institution: | ( College of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China) |
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| Abstract: | According to the expressions＇ structure of the functions, the maximum value problem of functions of one and two varables, consisting quadratic expression is considered and is reduced to the problem of maximum value of distance in elementary geometry. The problem is solved by geometry intuition. |
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| Keywords: | function maximum value quadratic expression distance |
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