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下题是2006年莫斯科大学数学力学系入学考试数学试卷的一个压轴题:设x和y是任意实数,求表达式|2x-y-1|+|x+y|+|y|的最小值.分析此题看视简单,但要求正确答案却不容易.在俄罗斯《中学数学》杂志2007年第一期上给出了此题的一种解法,该解法巧妙地利用了数形结合的数学思想,简洁地
The following question is a final issue of the mathematical examination paper for the entrance examination of the Department of Mathematics Mechanics, Moscow University, 2006: Let x and y be arbitrary real numbers and find the minimum value of the expression |2x-y-1|+|x+y|+|y| The analysis of this question is simple, but it is not easy to ask for the correct answer. A solution to this problem was given in the first issue of the “Middle School Mathematics” magazine in Russia in 2007. This solution skillfully uses the mathematical combination of numbers and shapes. Thought, concisely