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2011年,北京大学(含医学部)、香港大学、复旦大学、北京航空航天大学、北京师范大学、南开大学、华中科技大学、武汉大学、中山大学、厦门大学、山东大学、四川大学以及兰州大学,这13所高校在自主招生中展开合作,大家恭称之为“北约”.2011年“北约”自主招生考试数学试卷中的压轴题是:试题一:求函数f(x)=|x-1|+|2x-1|+|3x-1|+…+|2011x-1|(x∈R)的最小值.我们认为这道试题的原型是1995年中国数学奥林匹克暨中学生数学冬令营(CMO)的第三题:试题二:设x,y∈R,求f=∑10∑10∑10|k(x+y-
In 2011, Peking University (including the Ministry of Medicine), Hong Kong University, Fudan University, Beijing University of Aeronautics and Astronautics, Beijing Normal University, Nankai University, Huazhong University of Science and Technology, Wuhan University, Zhongshan University, Xiamen University, Shandong University, Sichuan University and Lanzhou University, The 13 colleges and universities in their own enrollment in cooperation, we Christopher called “NATO ” 2011 “NATO ” self-enrollment test mathematics papers in the finale title is: Test a: Find the function f (x) = | x-1 | + | 2x-1 | + | 3x-1 | + ... + | 2011x-1 | (x∈R). We consider the prototype of this test is the 1995 China Mathematical Olympiad and secondary school mathematics Winter camp (CMO) the third question: Question two: Let x, y∈R, find f = Σ10Σ10Σ10 | k (x + y-