The Free Throw Problem

來源: 灶王爺 於 2012-09-26 19:00:03 [] [舊帖] [給我悄悄話] 閱讀數 : (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，好像以前沒人貼過，不過WXC的search也不可靠，要是問過了，先抱歉一下。

所有跟帖： 

• 回複：The Free Throw Problem -wxczcbm- ♂ 給 wxczcbm 發送悄悄話 (374 bytes) () 09/26/2012 postreply 23:25:22

• 可推廣到任何命中率為m/(m+1)的情況, e.g. 0.8=4/5 -萬斤油- ♂ 給 萬斤油 發送悄悄話 (0 bytes) () 09/28/2012 postreply 10:40:30

• 是不是分子和分母的差大於1，就可能跳過去了? -wxcfan123- ♂ 給 wxcfan123 發送悄悄話 (0 bytes) () 09/28/2012 postreply 17:04:37

• 且分子和分母互素(即此分數是既約分數),例: 8/10就不行 -萬斤油- ♂ 給 萬斤油 發送悄悄話 (0 bytes) () 09/28/2012 postreply 18:16:21

• 謝謝幾位能人啦！ -灶王爺- ♂ 給 灶王爺 發送悄悄話 (0 bytes) () 10/02/2012 postreply 12:11:48

請您先登陸，再發跟帖！