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在中学数学课本和数学竞赛中,有一些三角不等式的证明题,这些问题的解法常常各异且有一定的技巧。本文试图通过给出两个简单的不等式,进而得到解这类题目的一个一般的方法,帮助学生去掉解题时的偶然性与盲目性。并进一步培养学生分析问题、解决问题的能力.
In middle school mathematics textbooks and math competitions, there are some propositions for trigonometric inequalities. The solutions to these problems are often varied and have some skills. This paper tries to give a general method to solve this kind of problem by giving two simple inequalities. It helps students to remove the accidental and blindness when solving problems. And further develop students’ ability to analyze problems and solve problems.