平面上有N个点,使得任取三点,必有至少两点间的距离是1。问N的最大值是多少?
请教一个从网上发现的题。
所有跟帖:
• 7. -jinjing- ♀ (0 bytes) () 08/09/2011 postreply 11:09:02
• 请教,能不能说说证明? -wxcfan123- ♂ (0 bytes) () 08/09/2011 postreply 11:25:29
• Thx,I t should be 8, It construct by 4 Tringles. Busiy now. -jinjing- ♀ (0 bytes) () 08/09/2011 postreply 13:18:12
• I construct for you. -jinjing- ♀ (365 bytes) () 08/09/2011 postreply 15:59:07
• 回复:I construct for you. I learned from BUYI.using "o", -jinjing- ♀ (404 bytes) () 08/09/2011 postreply 16:27:21
• 6 -布衣之才- ♂ (150 bytes) () 08/09/2011 postreply 13:21:17
• for 6,Two E-L Tringles can be put anywhere. -jinjing- ♀ (622 bytes) () 08/09/2011 postreply 16:46:53
• please check n=8. -jinjing- ♀ (0 bytes) () 08/09/2011 postreply 17:39:54
• 回复:请教一个从网上发现的题。 -康MM- ♀ (54 bytes) () 08/09/2011 postreply 16:02:10
• KMM,please check my answer. -jinjing- ♀ (0 bytes) () 08/09/2011 postreply 16:29:21
• 谢谢康MM的提示。N=7已被构造出来了(见内)。N=8,可能还是不能? -wxcfan123- ♂ (544 bytes) () 08/09/2011 postreply 16:46:30
• n=8,I got it.I made mestakes as too much number,you check my sec -jinjing- ♀ (0 bytes) () 08/09/2011 postreply 17:13:59
• check o1, o4, o8. o1-o8 and o1-o4 > 1 and o4-o8 < 1, -wxcfan123- ♂ (0 bytes) () 08/09/2011 postreply 18:08:30
• you are right.thx. -jinjing- ♀ (0 bytes) () 08/09/2011 postreply 18:09:58
• first also is right,you are good ,if you say yes, i'm happy. -jinjing- ♀ (0 bytes) () 08/09/2011 postreply 17:38:13
• 康MM的提示应改为连接。构造是从康MM的跟贴转抄来的。 -wxcfan123- ♂ (0 bytes) () 08/09/2011 postreply 17:55:15
• 不能,证明不难的 -康MM- ♀ (0 bytes) () 08/11/2011 postreply 04:05:06
• 我也有一个证明,等几天再说吧,反正这里翻页很慢。 -wxcfan123- ♂ (0 bytes) () 08/11/2011 postreply 06:55:40
• My proof. -jinjing- ♀ (272 bytes) () 08/11/2011 postreply 07:25:46
• 回复:My proof. -wxcfan123- ♂ (540 bytes) () 08/11/2011 postreply 09:37:56
• Your proof is wrong in logic. -jinjing- ♀ (0 bytes) () 08/11/2011 postreply 11:59:32
• From E.LTrils, plus one point at most incrse 2A, 1B, later 2A,2B -jinjing- ♀ (294 bytes) () 08/11/2011 postreply 15:20:59
• FG=1? -15少- ♂ (0 bytes) () 08/11/2011 postreply 23:31:12
• 回复:FG=1? -wxcfan123- ♂ (94 bytes) () 08/12/2011 postreply 06:46:13
• The intui tion solution. 15young ,this is ... -jinjing- ♀ (1417 bytes) () 08/12/2011 postreply 09:03:06
• 还是把我的解交上来供大家审阅吧 -wxcfan123- ♂ (1965 bytes) () 08/11/2011 postreply 13:25:43
• Fact2 is not true -15少- ♂ (694 bytes) () 08/13/2011 postreply 12:31:23
• Since AB<>1, for any point C, either AC = 1, or BC =1. -wxcfan123- ♂ (0 bytes) () 08/13/2011 postreply 13:41:20
• or ABC is not triangle -15少- ♂ (0 bytes) () 08/13/2011 postreply 13:47:49
• For arbirary three points, at least one distance of a pair is 1. -wxcfan123- ♂ (67 bytes) () 08/13/2011 postreply 13:53:22
• It this is true, you can put any number points on one line. -wxcfan123- ♂ (0 bytes) () 08/13/2011 postreply 13:56:48
• sorry, i misunderstand the question -15少- ♂ (0 bytes) () 08/13/2011 postreply 14:09:50