三个三位数相乘,积怎样最大
- 时间:2020-04-03 19:10:37
- 分类:数学世界
- 阅读:159 次
用1——9这九个数字组成三个三位数,每个数字只用一次,使这三个三位数相乘的积尽可能大,这三个三位数各应是多少?
解题思路:要想使这三个三位数的乘积尽可能大,必须每个三位数尽量大;要使每个三位数尽量大,必须把大的数字尽可能放在高位上。与此同时,根据《乘积最大问题》中证明的,还要兼顾到这三个数之间的差距要尽可能的小。
解答过程:
把9、8、7三个数字放在三个三位数的百位上,十位上放4、5、6三个数字,个位上放1、2、3三个数字。组合出来就是:941,852,763。
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