下面是一道竞赛题,在分类与变动中去考察,问题就显得容易许多.问题已知三角形ABC的两边a和b,它的第三边c应当怎样,才能使三角形中的最大角具有最小的量?分析与解问题的困难首先在于考虑哪一个角是最大角,其次才能考虑这个最大角何时有最小值.由于a、b是已知的,因此,不妨设a≥b, The following is a contest title. The problem is easier to look at in classification and change. The problem is known as how the triangles ABC’s two sides, a and b, and its third, the c, should be such that the largest angle in the triangle is the smallest. The difficulty in analyzing and solving the problem is to first consider which corner is the largest angle, and then to consider when this maximum angle has a minimum value. Since a and b are known, therefore, it may be possible to set a≥b.