The Free Throw Problem

来源: 灶王爷 于 2012-09-26 19:00:03 [] [旧帖] [给我悄悄话] 阅读数 : (534 bytes)
The Free Throw Problem


A basketball player has been keeping up with her career statistics. Before the begining of her senior season, she was hitting less than 80% of her free throws. At the end of her senior season, she was hitting more than 80% of her free throws. Must there be a time during her senior season when she was hitting exactly 80% of her free throws? Prove your claim.



查了一下，好像以前没人贴过，不过WXC的search也不可靠，要是问过了，先抱歉一下。

所有跟帖： 

• 回复：The Free Throw Problem -wxczcbm- ♂ 给 wxczcbm 发送悄悄话 (374 bytes) () 09/26/2012 postreply 23:25:22

• 可推广到任何命中率为m/(m+1)的情况, e.g. 0.8=4/5 -万斤油- ♂ 给 万斤油 发送悄悄话 (0 bytes) () 09/28/2012 postreply 10:40:30

• 是不是分子和分母的差大于1，就可能跳过去了? -wxcfan123- ♂ 给 wxcfan123 发送悄悄话 (0 bytes) () 09/28/2012 postreply 17:04:37

• 且分子和分母互素(即此分数是既约分数),例: 8/10就不行 -万斤油- ♂ 给 万斤油 发送悄悄话 (0 bytes) () 09/28/2012 postreply 18:16:21

• 谢谢几位能人啦！ -灶王爷- ♂ 给 灶王爷 发送悄悄话 (0 bytes) () 10/02/2012 postreply 12:11:48

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