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#1
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⨷ÂìʶԵԤèÐ ¹Ö¡ÀÒ¾äÁèÍÍ¡¨Ô§æ
⨷Âì¡Ó˹´¢éÍÁÙÅÁÕ 5 ¨Ó¹Ç¹ ¤èÒà©ÅÕèÂàÅ¢¤³Ôµ à·èҡѺ 86 ¤èÒÁѸ°ҹ à·èҡѺ 87 ¨§ËÒÇèÒ¢éÍÁÙŵÑÇ·ÕèÁÕ¤èÒÁÒ¡·ÕèÊØ´à·èÒ·Õè¨Ðà»ç¹ä»ä´é¤×Íà·èÒã´ ·Ó䧴դÐ
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#2
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¶éÒ¢éÍÁÙÅà»ç¹¨Ó¹Ç¹àµçÁºÇ¡
1, 1, 87,87, 254
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ÁÒËÒ¤ÇÒÁÃÙéäÇéµÔÇËÅÒ¹ áµèËÅÒ¹äÁèàÍÒàÅ¢áÅéÇ à¢éÒÁÒ·ÓàÅ¢àÍÒÁѹÍÂèÒ§à´ÕÂÇ ¤ÇÒÁÃÙéà»ç¹ÊÔè§à´ÕÂÇ·ÕèÂÔè§ãËé ÂÔè§ÁÕÁÒ¡ ÃÙéÍÐäÃäÁèÊÙé ÃÙé¨Ñ¡¾Í (¡àÇ鹤ÇÒÁÃÙé äÁèµéͧ¾Í¡çä´é ËÒäÇéÁÒ¡æáËÅдÕ) (áµè¡çÍÂèÒãËéÁÒ¡¨¹·èÇÁËÑÇ àÍÒµÑÇäÁèÃÍ´) 23 ÁԶعÒ¹ 2011 18:33 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 2 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ banker |
#3
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ä´éÁÒ¨Ò¡ä˹¤Ð ¢ÍÇÔ¸Õ¤Ô´´éǤèÐ µéͧ¡ÒÃÇÔ¸ÕÁÒ¡¡ÇèҤӵͺ¤èÐ
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#4
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⨷ÂìÁÕ¢éͺ¡¾Ãèͧ¤ÃѺ ¤ÇÃà¨ÒШ§ãËéªÑ´à¨¹ÇèÒ¢éÍÁÙÅ·Õè¡ÅèÒǶ֧à»ç¹¨Ó¹Ç¹ª¹Ô´ã´
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site:mathcenter.net ¤Ó¤é¹ |
#5
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a+b+87+d+e = 5 x 86 = 430 d > 87 ¶éÒ¢éÍÁÙÅà»ç¹¨Ó¹Ç¹àµçÁºÇ¡ d = 88 a, b à·èÒäáçä´é·Õè¹éÍ¡ÇèÒ 87 ¶éÒµéͧ¡Òà e ÁÒ¡æ a, b ¡çµéͧ¹éÍÂÁÒ¡æ ã¹·Õè¹ÕéàÃÒãËé a = b = 1 ¨Ðä´é 1, 1, 87, 88, e e = 430 - 88 -87 -1 - 1 = 253 á¡éä¢ÇÔ¸Õ·Ó ÀÒÂãµéà§×èÍ¹ä¢ ¢éÍÁÙÅà»ç¹¨Ó¹Ç¹àµçÁºÇ¡ a+b+87+d+e = 5 x 86 = 430 d $\geqslant$ 87 ¶éÒ¢éÍÁÙÅà»ç¹¨Ó¹Ç¹àµçÁºÇ¡ d = 87 a, b à·èÒäáçä´é·Õè¹éÍ¡ÇèÒ 87 ¶éÒµéͧ¡Òà e ÁÒ¡æ a, b ¡çµéͧ¹éÍÂÁÒ¡æ ã¹·Õè¹ÕéàÃÒãËé a = b = 1 ¨Ðä´é 1, 1, 87, 87, e e = 430 - 87 -87 -1 - 1 = 254
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ÁÒËÒ¤ÇÒÁÃÙéäÇéµÔÇËÅÒ¹ áµèËÅÒ¹äÁèàÍÒàÅ¢áÅéÇ à¢éÒÁÒ·ÓàÅ¢àÍÒÁѹÍÂèÒ§à´ÕÂÇ ¤ÇÒÁÃÙéà»ç¹ÊÔè§à´ÕÂÇ·ÕèÂÔè§ãËé ÂÔè§ÁÕÁÒ¡ ÃÙéÍÐäÃäÁèÊÙé ÃÙé¨Ñ¡¾Í (¡àÇ鹤ÇÒÁÃÙé äÁèµéͧ¾Í¡çä´é ËÒäÇéÁÒ¡æáËÅдÕ) (áµè¡çÍÂèÒãËéÁÒ¡¨¹·èÇÁËÑÇ àÍÒµÑÇäÁèÃÍ´) 23 ÁԶعÒ¹ 2011 18:32 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ banker à˵ؼÅ: á¡éä¢ÇÔ¸Õ·Ó |
#6
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d ÍÒ¨¨Ðà·èҡѺ 87 ¡çä´é¹Ð¤Ð
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#7
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Í×ÁÁ.. ¡çà»ç¹ä´é ¼ÁÅ×Á¤Ô´¶Ö§¢é͹Õé
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ÁÒËÒ¤ÇÒÁÃÙéäÇéµÔÇËÅÒ¹ áµèËÅÒ¹äÁèàÍÒàÅ¢áÅéÇ à¢éÒÁÒ·ÓàÅ¢àÍÒÁѹÍÂèÒ§à´ÕÂÇ ¤ÇÒÁÃÙéà»ç¹ÊÔè§à´ÕÂÇ·ÕèÂÔè§ãËé ÂÔè§ÁÕÁÒ¡ ÃÙéÍÐäÃäÁèÊÙé ÃÙé¨Ñ¡¾Í (¡àÇ鹤ÇÒÁÃÙé äÁèµéͧ¾Í¡çä´é ËÒäÇéÁÒ¡æáËÅдÕ) (áµè¡çÍÂèÒãËéÁÒ¡¨¹·èÇÁËÑÇ àÍÒµÑÇäÁèÃÍ´) |
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