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题目已知S=(x-a)~2+(lnxa)~2(a∈R),则S的最小值()(A)2~(1/2)/2(B)1/2(C)3~(1/2)(D)2这是湖北省部分重点中学2017届高三第二次联考题,本题构造思想新颖、设计简洁,主要考查求多元函数最值的基本策略.常见解法是利用函数思想与方法,其间运用到函数与方程、不等式的基本性质,是一道入口较宽,方法多样,同时又能很好区分不同思维层次的好题目.下面从不同角度来剖析本题,供读者参考.
(2) (1/2) / 2 (B) 1/2 (C) where S = (xa) ~ 2 + (lnxa) ~ 2 (a∈R) 3 ~ (1/2) (D) 2 This is the second key exam paper of 2017 senior high school in some key middle schools in Hubei Province. The basic idea of this topic is to construct a novel, concise and simple method to find the most value of multivariate function. Common solution is to use Function ideas and methods, during which the basic properties of the function and the equation, inequality, is a wide entry, a variety of methods, but also a good distinction between the different levels of thinking a good topic to explore the following from a different point of view for readers reference .