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最值问题是数学奥林匹克中的热门试题 .它技巧性强 ,难度大 ,解法活 .本文利用高中数学新教材中新增的重要内容———平面向量 ,巧解一类最值问题 .1 求不等式恒成立时的参数最值例 1 (1992年上海市高三数学竞赛试题 )若正数使不等式 :ｘ +ｙ≤ａｘ +ｙ对一切正数ｘ、ｙ成立
The problem of the most value is the hottest topic in the mathematics Olympics. It is skillful, difficult, and difficult to solve. This article uses the important new content in the new mathematics textbook for high school, namely the plane vector, to solve one type of the most value problem.1 The value of the parameter when the inequality constant is established Example 1 (The 1992 Shanghai High School Mathematics Contest Question) If a positive number makes the inequality: x + y ≤ ax + y is established for all positive numbers x, y