1997 AMC 12 第 7 题
先试着解答 1997 AMC 12 第 7 题，然后核对你的答案与精心整理的解答，解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 1997 AMC 12 解答，或核对答案。
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7.
七个整数的和为 。其中最多可以有多少个整数大于 ？
The sum of seven integers is What is the maximum number of the seven integers that can be larger than
答案：D
小提示：
七个数不可能都大于 ，否则它们的和会是正数
All seven cannot exceed because their sum would be positive
大提示：
剩下的那个整数没有下界
There is no lower bound on the remaining integer
解答：
如果七个整数都大于 ，它们的和至少为 。但可以有六个整数大于 ：取六个 ，再取一个 。因此最多有 个，正确答案是 D。
If all seven integers exceeded their sum would be at least Six can exceed : take six copies of and a seventh integer of Thus the maximum is and the correct answer is D.
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