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在某种约束条件下求多变量最值问题已成为近年来高考题、竞赛题、模拟题的命题热点.由于该类问题变量较多且主次难分,相互间的制约关系难以确定,所以不少学生往往找不到解题的切入点而束手无策.笔者以2014年高考辽宁卷理科第16题为例,谈谈解答多变量最值问题的几种切入视角,希望对大家有所启迪.题目(2014年辽宁高考题)对于c>0,非零实数a,b满足4a2-2ab+4b2-c=0,且
Under the condition of certain constraints, finding the multivariable most value problem has become a hot topic in recent years, college entrance examination questions, contest questions, simulation questions.As the variables of this kind of problems are more difficult to distinguish between the primary and secondary, the mutual restraint relationship is difficult to determine, so Many students often can not find a solution to the starting point and helpless.The author of the 2014 entrance examination in Liaoning Volume 16 as an example, to talk about the multivariate maximum value of the answer to several kinds of perspective, hoping to give you some inspiration. Subject (Liaoning 2014 entrance exam) For c> 0, non-zero real numbers a, b satisfy 4a2-2ab + 4b2-c = 0, and