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2006年莫斯科大学数学力学系入学考试数学试卷的一道压轴题是(表述略有改动):求二元函数z=|2x-y-1|+|x+y|+|y|的最小值.俄罗斯《中学数学》杂志2007年第1期上给出了该题的一种解法,此解法巧妙地利用了数形结合的思想,简洁
A final line of mathematics examination papers for the entrance examination of the Department of Mathematics and Mechanics of Moscow University in 2006 (with a slightly modified expression): Find the minimum value of the binary function z=|2x-y-1|+|x+y|+|y|. A solution to this problem was given in the Russian “Middle School Mathematics” magazine in the first issue of 2007. This solution skillfully uses the idea of combining numbers and shapes.