论文部分内容阅读
1.问题的提出文[1],张乃贵老师采用“联想、转化”的方式,使用“先变形,再放缩”的方法,得到一道难题的巧解,并给出了详细的思考过程.笔者认为,这是一道二元函数最值问题,通过消元的办法将问题转化为一元函数的最值问题处理较为恰当,既符合解题规律,又符合学生的认知规律.笔者通过构造一元函数,结合复合函数的导数知识,给出这道题的常规解法及一般情形,并分析该问题的数学背景,现介绍如下,供读者参考.
1 raised the issue of the text [1], Zhang Nai Gui teachers use “Lenovo, conversion ” approach, using “deformation first, then zoom ” method, get a solution to the problem, and gives a detailed Thinking process.This author believes that this is a binary function of the most value problem, by eliminating the element approach to convert the problem into a dollar function most appropriate problem handling is more appropriate, both in line with the problem-solving law, but also in line with the cognitive rules of students. By constructing a univariate function and combining the derivative knowledge of the compound function, the general solution and the general case of the problem are given, and the mathematical background of the problem is analyzed as follows for readers’ reference.