1961年三月底在莫斯科举行了第一屆全俄数学竞賽,这次竞赛的題目非常有趣,大部分題目都不要求中学数学課程以外的东西,所要求于学生的是比較丰富的想象分析能力和一定的解題技巧。本文只想围繞十年級的竞賽題讲解几个有趣的数学問題。另外还推荐同志們自己回家去做几道題。Ⅰ首先,我們来解第一題。 題1.设有三个由自然数組成的无穷敍列 At the end of March 1961, the first all-Russian mathematics competition was held in Moscow. The topic of this competition was very interesting. Most of the topics did not require anything other than the middle school mathematics course. The students were required to have rich imagination and analysis skills. And certain problem solving skills. This article just wants to explain a few interesting math problems around the tenth grade contest. It is also recommended that comrades go home and do a few questions. I first, we solve the first question. Question 1. There are three infinite lists of natural numbers