2016 AMC 8 第 18 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
18.
在一次全地区田径赛中， 名短跑运动员参加 米短跑比赛。跑道有 条道，所以一次只能有 名运动员比赛。每场比赛结束后，五名非获胜者被淘汰，获胜者将在后面的比赛中继续参赛。
需要多少场比赛才能决出短跑冠军？
In an All-Area track meet, sprinters enter a -meter dash competition. The track has lanes, so only sprinters can compete at a time. At the end of each race, the five non-winners are eliminated, and the winner will compete again in a later race.
How many races are needed to determine the champion sprinter?
答案：C
小提示：
思考每场比赛淘汰多少名运动员
Think about how many sprinters are eliminated in each race.
大提示：
要从 名运动员中留下一个冠军，必须淘汰除一人外的所有人
To leave one champion from sprinters, all but one sprinter must be eliminated.
视频讲解：
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文字解答：
每场比赛淘汰 人。要决出冠军，需要淘汰 人。因此需要 场比赛。
所以正确答案是 C。
Note that each race eliminates people. For there to be a winner, must be eliminated. Therefore, races are required to eliminate this number of people.
Thus, C is the correct answer.
其他年份的第 18 题
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