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《中学生数学》初中版2003年第一期刊登的“巧找规律解决问题”一文中介绍了第十三届“希望杯”初二第二试的一题,读后收获颇丰,但文中只进行了猜想,未给出公式“m/2×2n-1+m/2”的证明.本文对题目略作修改并作一些探讨.
The article titled “Chapter in Finding Laws to Solve Problems” published in the “Middle School Mathematics” junior high school edition in the first issue of 2003 introduced the topic of the second trial of the 13th “Hope Cup” in the 13th. After the reading, the harvest was good, but only Conjecture was not given proof of the formula “m/2x2n-1+m/2”. This article slightly modified the subject and made some discussion.