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近期我们所做的练习中出现了这样一道题目:“已知x>0,y>0,x-y=1,求(1/2x)+(x/y+1)的最小值。”同学们往往无法入手,或者有感觉但无法彻底解决。那我们就来分析分析这类多元变量的最值问题到底可以怎样解决。二元变量求最值问题是高中数学的一大难点,近年来,高考试题中屡有考查。求解二元变量的最值,涉及函数、不等式、线性规划、解析几何、导数等诸多高中数学重点知识,更体现了函数思想、化归
In the recent exercises we did have a question: "Known x> 0, y> 0, xy = 1, and find the minimum value for (1 / 2x) + (x / y + 1) They often can not start, or feel but can not be completely resolved. Then we will analyze and analyze how to solve the most value problem of such multivariate variables. Binary variables seeking the most value problem is a major difficulty in high school mathematics, in recent years, the exam questions frequently examined. Solving binary variables of the most value, involving functions, inequalities, linear programming, analytic geometry, derivatives and many other high school mathematics knowledge, but also reflects the function of thinking,