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笔者随本校高三学生参加了2016年郑州市高中毕业年级第一次质量检测考试,其中理科数学试卷的第16题给笔者留下了深刻印象.1.试题呈现题目已知点A(0,-1),B(3,0),C(1,2),平面区域P是由所有满足AM=λAB+μAC(2<λ≤m,2<μ≤n)的点M组成的区域,若区域P的面积为16,则m+n的最小值为.该试题融合了坐标、向量、平面区域、线性规划、基本不等式等知识点,综合性强,可信度高,位于填
The author with the high school students participated in the 2016 Zhengzhou city high school graduation grade the first quality test, including science mathematics papers of the first 16 left a deep impression on the author .1 questions presented topic known points A (0, - 1), B (3,0), and C (1,2). The plane area P is an area formed by all the points M that satisfy AM = λAB + μAC (2 <λ ≦ m, 2 <μ ≦ n) The area of area P is 16, then the minimum value of m + n is 0. The test questions integrate knowledge, such as coordinate, vector, plane area, linear programming, basic inequality, etc.,