论文部分内容阅读
于数学教育而言,研究数学思想方法的本质,只要不落窠臼,另辟蹊径,数学教育这棵参天大树就能植根于创造性思维的沃土,枝繁叶茂。在数学分析中,拉格朗日乘数法是指在条件F(x,y)=0下,求函数u=f(x,y)极值的一个经典方法。其具体的思想方法是,引进乘数λ作辅助函数,求辅助函数关于变量及λ的偏导数,并令其等于零,求出函数的稳定点,再结合实际问题判断稳定点是否是函数的极值点,从而求出函数的极值。笔者在研读
As far as mathematics education is concerned, if we study the essence of mathematical ideas and methods, we will find that the glorious tree of mathematical education can be rooted in the fertile soil of creative thinking as long as it does not fall into the wrong category. In mathematical analysis, the Lagrange multiplier method is a classical method of finding the extreme value of the function u = f (x, y) under the condition F (x, y) = 0. The specific idea is to introduce the multiplier λ as a helper function and find the partial derivatives of the helper function with respect to the variables and λ and make it equal to zero to find the stable point of the function and to judge whether the stable point is a function pole Value points, thus finding the extreme value of the function. The author is studying