刀即 1.构造三角形巧证不等式 嘟郭设。,b,。为正实数,求证:石下了丽下了 了c,+ae+。,,万(。+b+e). 分析:通过观察,我们发现不等式左边每个根号下 的多项式具有余弦定理的结构形式.该不等式具有轮 换对称性.这提示我们只需研究其中一个就行了. 证明:因为丫a,+a‘+‘,二了a,+。, Knife is 1. Construction triangle intricate intricate inequality. ,b,. For positive real numbers, verify that: Stone has made a c,+ae+. ,, (.+b+e). Analysis: Through observation, we find that the polynomials under each radical in the left side of the inequality have the structure form of the cosine theorem. The inequality has rotational symmetry. This suggests that we only need to study one of them. Proof: Because 丫a, +a’+’, two a, +. ,