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题目求证:对任意正实数a,b,c都有(2004年西部数学奥林匹克竞赛题)原证明需多次换元。方法比较复杂,不是很顺畅．而笔者经过探究,发现用三角函数来处理本题,十分简明自然．证明设
Title verification: For any positive real numbers a, b, c (2004 Western Mathematical Olympiad Question) the original proof requires multiple replacements. The method is complicated and not very smooth. The author after investigation found that using trigonometric functions to deal with this issue is very concise and natural. Proof