摘要
多元函数的条件极值是高等数学中的一个重要内容,在实际中有着广泛的应用.一般教材上介绍的主要方法是拉格朗日乘数法,但拉格朗日乘数法计算量往往很大.针对目前高职学生数学基础差的特点,在教学中我们还可以选择解决条件极值问题的一些简单的、利于学生理解接受的解法,结合工程、经济等方面的例子介绍了三种特殊的条件极值问题的初等解法:代入降元法、均值不等式法、对称函数法,并给出了适用范围.
Multivariant function＇s conditional extreme is an important content of higher mathematics and has wide practical applications. It is solved by Lagrange multiplier method according to general teaching material, but its large calculation is troublesome. It is well known that vocational students are poor in mathematics, some simple and understandable methods should be adopted in the mathematics teaching. This paper introduces three special methods about conditional extreme combining with engineering and economic examples and gives their applicable scope.
出处
《河北北方学院学报（自然科学版）》
2011年第6期17-19,共3页
Journal of Hebei North University:Natural Science Edition
关键词
条件极值
约束条件
案例分析
conditional extreme
constraint conditions
case analysis
