文[1]与文[2]分别就一类双重最值问题 的解法进行了探讨,读后受益匪浅,但文[1]中 分类讨论的解法显得较繁琐,而文[2]中利用 均值不等式求解的技巧性又太强,学生不易掌 握．本文给出一种基本解法,这种解法不仅简 捷而且学生易于掌握．下面仍以两道北京市高 中数学竞赛题为例加以说明． Both [1] and [2] discussed the solution to a class of double-valued problems, respectively, and benefited greatly after reading them. However, the solution to the classification discussed in [1] seems to be more tedious, and it is used in [2]. The inequality of the mean inequalities is too strong to be solved by the students. This paper presents a basic solution that is not only simple but also easy for students to master. The following is still an example of the two high school math competitions in Beijing.