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条件极值问题的一题多解与应用意识的培养
引用本文:张永凤.条件极值问题的一题多解与应用意识的培养[J].数学学习,2020(2):16-19.
作者姓名:张永凤
作者单位:山东理工大学数学与统计学院
摘    要:以多元函数条件极值为例,分别用拉格朗日乘数法、无条件极值、初等方法、几何方法解题.不仅融合了多方面的数学知识,又体现了应用意识.

关 键 词:数学应用意识  一题多解  条件极值  拉格朗日乘数法

Cultivating Application Consciousness through Multiple Methods for Conditional Extreme Value Problems
ZHANG Yongfeng.Cultivating Application Consciousness through Multiple Methods for Conditional Extreme Value Problems[J].Studies In College Mathematics,2020(2):16-19.
Authors:ZHANG Yongfeng
Institution:(School of Mathematics and Statistics, Shandong University of Technology, Zibo 255091)
Abstract:Taking the conditional extreme of multivariate function as an example,this paper uses method of Lagrange multipliers,unconditional extreme,elementary method,and geometric method to solve the problem.It not only integrates many aspects of mathematical knowledge,but also shows the application consciousness.
Keywords:mathematical application consciousness  multiple methods for a problem  conditional extreme  method of Lagrange multipliers
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