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三角不等式的证明,方法灵活,技巧多样。推证时,既需要系统的三角基础知识,熟练的恒等变形的技能技巧,又要用到不少代数、几何知识。因此,掌握一些三角不等式的知识,对于扩大知识视野,沟通中学数学中不同部分知识之间的联系,加强基本功训练,都是有益的。现根据三角不等式的不同证法,加以粗略分类,作些简要介绍,供同志们参考。
The proof of triangular inequality is flexible and skillful. When invoking it, it is necessary to use the system’s basic knowledge of the triangle, skillful techniques of constant deformation, and a lot of algebra and geometry knowledge. Therefore, grasping some knowledge of triangular inequalities is beneficial for expanding the horizon of knowledge, communicating the connection between different parts of middle school mathematics, and strengthening basic skills training. According to the different authentication methods of triangular inequalities, they are roughly classified and briefly introduced for reference by comrades.