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笔者受第三届世界数学锦标赛组委会的邀请,为第三届世界数学锦标赛就高中内容拟题10则,非常荣幸有三则题目被竞赛组委会录用,它们是(青年组)个人赛试题的第5题,第6题和(青年组)团体赛第12题.下面就第6题谈谈命题历程,希望对同学们有所帮助.复合最值题目以结构简单、形式优美、背景新颖且公平为特点,所以常常受到竞赛命题者的青睐.第三届世界数学团体锦标赛(青年组)个人赛试题中的第6题是在第二十二届“希望杯”高一第1试压轴题的基础上经改编得到的,第二十二届“希望杯”高一第1试压轴题是这样的:题1已知x是实数且x≠2,3,若S=
At the invitation of the Organizing Committee for the Third World Mathematical Championships, I will prepare 10 questions on the contents of the high school for the Third World Mathematics Championships. I am very honored to have three questions accepted by the Organizing Committee, The fifth question, the sixth question and the (youth group) group match the first 12 questions below on the sixth topic to talk about the proposition history, I hope to help students the most complex topics with simple structure, the form of beautiful, fresh background And the characteristics of fairness, so often won the favor of contestants proposition.The sixth session of the third world mathematics group championship (youth group) individual competition questions in the twenty-second session of the “Hope Cup” high first 1 Based on the test pressure axis adapted, the twenty-second session of the “hope cup” high a test pressure axis question is this: Problem 1 known x is real and x ≠ 2,3, if S =