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在刘薰宇先生所著算術課本(人民教育出版社1952年8月北京初版)上册第134頁,有一例題:“甲乙丙三人骑自行車繞着一个圓的場子轉,甲4分鐘、乙6分鍾、丙8分鐘轉一次,三个人从同一地點同方向,到同一地點相会,至少需多少時間?各轉幾周?』此种問法不够明確,盖所謂『到同一地點相会』者,不知指“到原地相会”抑“第一次相会”,且由解此問題之第一問,凑巧僅需求4,6,8之L.C.M.,因而易使学生誤信举凡此類問題皆为單純求L.C.M.的問題,茲以下例明其故: “甲乙丙三人繞一圓圈而行,各繞一周之時間分别为3,7,11(分鐘),求自同時同地同向出至首次相会之時間。”
In the mathbook written by Mr. Liu Xunyu (People’s Education Press, August, 1952, Beijing, first edition), page 134, there is a case in point: “A, B, B and C three people cycle around a round field, A 4 minutes, B 6 minutes. C and C are transferred in 8 minutes. When three people from the same place and in the same place meet to the same place, at least how much time is needed and how many times each one needs to be turned? This is not clear enough to cover the so-called “meeting in the same place”. I do not know “meeting in situ” and “meeting the first time,” and from the first question of solving this problem, it happened that only the LCM of 4,6,8 is required, and it is easy for students to misunderstand that all such problems are For the problem of simply seeking LCM, here are some examples: "A, B, C, and C are all three circles, each of which is 3, 7, and 11 minutes (minutes), seeking from the same place at the same time. Meeting time. ”