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换元思想是一种经典的数学思想方法,本文主要讨论三角换元法在解题中的应用,这一解法多应用于解决函数或不等式的最值问题,是实现解题目标的一种有效转化策略.正因为此法的广泛应用价值,笔者将利用这种方法再来分析文中的几个高考或竞赛试题,与读者交流,欢迎批评指正.例1(南通市2014届高三第二次调研,2013年全国高中数学联赛江苏赛区复赛)若实数a,b,c满足a2+b2≤c≤1,求a+b+c的最大值和最小值.
The idea of changing yuan is a classic mathematical method. This paper mainly discusses the application of triangular change method in solving problems. This method is mostly used to solve the most value problem of function or inequality, which is an effective way to solve the problem It is precisely because of the wide application value of this law, the author will use this method to analyze the text again a few college entrance examination or competition questions, communicate with readers, welcome to criticism and correction.Example 1 (Nantong 2014 third year second survey, 2013 National High School Mathematic Tournament Jiangsu Division rematch) if the real number a, b, c satisfy a2 + b2 ≤ c ≤ 1, find the maximum and minimum of a + b + c.