托尔斯泰提出的“割草问题”

• 作 者: 林革
• 出 处: 小学科技
• 发表日期: 2004年期
• 关键词: 列夫·托尔斯泰 数学爱好者 世界闻名 比例关系

列夫·托尔斯泰是一位世界闻名的大文豪,他又是一个不折不扣的数学爱好者。下面的这道“割草问题”就是由他提出的:一组割草人要把两块草地上的草割掉,大草地比小草地大1倍。上午全体组员都在大草地上割草。下午一半人继续留在大草地上割草,到晚上把剩下的草割完;另一半人到小草地上割草,到晚上还剩下一小块没割完,这块地由一个人用一天时间才割完。假定上、下午的劳动时间相同,每个割草人的工效也相等,问这组割草人有多少?

Leo Tolstoy is a world famous big writer, he is an absolute mathematical enthusiasts. The following “mowing problem” was put forward by him: a group of mowers cut the grass on two grasslands twice as big as the grassland. In the morning all the team members mow the grass. Half of the people in the afternoon continue to mow on the lawn and cut off the rest of the grass in the evening; the other half cut the grass on the grass and left a small piece of meat left without cutting at night, Cut with one day. Assuming the same labor time in the morning and the afternoon, each mower has the same ergonomics, and how many mowers in the group?