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考题设x,y为实数,若4x2+y2+xy=1,求2x+y的最大值.这是2011年普通高考浙江理科卷第16题,它以二元条件最值为背景,着重考查基本不等式的性质,本题虽以填空题的形式出现,看似小巧,但解法灵活多样,思维多元、发散而深刻,将中学数学的基本知识、基本技能、基本方法融为一体;试题的表述方式虽平凡,但思维过程很奇妙,能有效地检测出考生不同层次的思维品质,细细品味,考题确实能给人带来解法上的欣赏和思维上的启迪.
Exam questions set x, y is real, if 4x2 + y2 + xy = 1, find the maximum value of 2x + y .This is the 2011 Zhejiang Normal University Volume 16 questions, it is based on the binary conditions of the most value for the background, focusing on examination The nature of the basic inequalities, although the title appears in the form of fill in the blank, it seems small, but the solution is flexible and diversified, diverse thinking, divergent and profound, the basic knowledge of secondary mathematics, basic skills, basic methods integration; presentation of questions Although ordinary, but the thinking process is very fantastic, can effectively detect the different levels of thinking quality of the examinee, savoring, test questions can really bring people appreciation and thinking enlightenment.