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à¤Ã×èͧÁ×ͧ͢ËÑÇ¢éÍ | ¤é¹ËÒã¹ËÑÇ¢é͹Õé |
#1
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͸ԺÒ¢é͹ÕéãËé˹èͤèÐ...
ªèÇÂ͸ԺÒÂãËé˹è͹ФèÐ ..
¢Íº¤Ø³¤èÐ .. 1) ã¹ÈµÇÃÃÉ·Õè 20 ( 1901 - 2000 ) ÁÕ¡Õè»Õ·ÕèËÒôéÇ 6 ŧµÑÇ.. 2) ¼ÅÃÇÁ¢Í§àŢⴴ㹼ÅÅѾ¸ì¢Í§ 999,999 X 777,777 ÁÕ¤èÒà·èҡѺà·èÒäËÃè .. (ÁÕÇÔ¸ê¤Ô´ÍÂèÒ§Í×è¹ËÃ×Íà»ÅèÒ¤èÐ ¹Í¡¨Ò¡ÁÒ¤Ù³¡Ñ¹ÂÒÇ æ àÅÂ..) 3) 1 + 3 + 5 + 7 + 9 + ............ = 2304 ¶ÒÁÇèÒÁÕ¡Õè¨Ó¹Ç¹·ÕèÁҺǡ¡Ñ¹ .. |
#2
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1) ã¹ÈµÇÃÃÉ·Õè 20 ( 1901 - 2000 ) ÁÕ¡Õè»Õ·ÕèËÒôéÇ 6 ŧµÑÇ..
1901 / 6 => 316.888 317 * 6 => 1902 2000/6 => 333.333 333*6 => 1998 1902 - 1998 => 97 µÑÇ 2) ¼ÅÃÇÁ¢Í§àŢⴴ㹼ÅÅѾ¸ì¢Í§ 999,999 X 777,777 ÁÕ¤èÒà·èҡѺà·èÒäËÃè .. 999999 * 777777 = (1000000-1)(777777) ¤ÃѺ
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#3
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3) 1 + 3 + 5 + 7 + 9 + ............ = 2304
¢é͹Õé Êѧࡵ 1 = 1 1+3=4 1+3+5=9 1+3+5+7 = 16 1+3+5+7+9 = 25 ¨Ðä´é ÇèÒ $1+3+5+... (nµÑÇ) = n^2$ $ n^2=2304 $ n=48 ¤ÃѺ
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05 ¡ØÁÀҾѹ¸ì 2011 14:21 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ ¤usÑ¡¤³Ôm |
#4
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ÍéÒ§ÍÔ§:
1903 ÁѹËÒà 6 äÁèŧµÑÇäÁèãªèàËÃͤÃѺ ¼Á¤Ô´ä´é 17 »Õ¤ÃѺ
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·Ó⨷ÂìäÁèä´éäÁèÃÙé·Óä§ ¢ÍºÍ¡ä´é¤Óà´ÕÂÇÇèÒ ·Ó㨠ÅéÍàÅè¹ 555 |
#5
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ÍéÒ§ÍÔ§:
͸ԺÒÂãËé˹è͹ФèÐ .. THANKS |
#6
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ÍéÒ§ÍÔ§:
¶éҨӹǹáá·ÕèËÒà 6 ŧµÑǤ×Í 1902 ¨Ó¹Ç¹¶Ñ´ä»¤×Í 1908 ¹Ð¤ÃѺ ¼ÁàÍҨӹǹ·Õè¹éÍ·ÕèÊØ´·Õè⨷Âì¡Ó˹´·ÕèËÒôéÇ 6 ŧµÑÇ áÅÐàÍҨӹǹ·ÕèÁÒ¡·ÕèÊØ´·ÕèËÒà 6 ŧµÑÇ ¹éÍÂÊØ´¤×Í 1902 ÁÒ¡ÊØ´¤×Í 1998 $[(1998 - 1902)\div6 ]+1 = 17$ Áѹ¡ç¤ÅéÒ¤ÅéÒÂ⨷Âì¶ÒÁÇèÒ 1-100 ÁÕ6ËÒÃŧµÑÇ¡Õè¨Ó¹Ç¹ ¹Ñ觹ѺàÍÒ¡çä´é¤ÃѺ (¼ÁäÁèá¹è㨹ФÃѺ )
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·Ó⨷ÂìäÁèä´éäÁèÃÙé·Óä§ ¢ÍºÍ¡ä´é¤Óà´ÕÂÇÇèÒ ·Ó㨠ÅéÍàÅè¹ 555 |
#7
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1) ¨Ó¹Ç¹·ÕèËÒà 6 ŧµÑÇ µÑÇáá¤×Í 1902 µÑÇÊØ´·éÒ¤×Í 1998
¤Ô´à»ç¹¨Ó¹Ç¹ $\frac{(1998-1902)}{6} + 1 = 17$ µÑÇ 2) (1,000,000 - 1) X 777,777 = 777776222223 7x5 + 6 + 2x5 + 3 = 54 3) 1 + 3 + 5 + 7 + 9 + ........ + n = 2304 $\frac{(n+1)}{4} (n+1) = 2304$ $(n+1)^2 = 9216$ $(n+1)^2 = 96^2$ n = 95 ¨Ó¹Ç¹¾¨¹ì = (95+1)/2 = 48 05 ¡ØÁÀҾѹ¸ì 2011 17:57 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 2 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ yellow |
#8
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¢éÍ 2 ¹Ð¤ÃѺ 999,999x777,777=(1,000,000-1)x777,777
=777,777,000,000-777,777 =777,776,222,223 ¨ÑººÇ¡ä´é 54 ¤ÃѺ (⨷Âì¢Í§ÍÐääÃѺ »ÃжÁ¨ÃÔ§ËÃͤÃѺ)
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ÂÔ觷Ó⨷ÂìÂÔè§à¡è§ |
#9
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2) ¼ÅÃÇÁ¢Í§àŢⴴ㹼ÅÅѾ¸ì¢Í§ $999,999 X 777,777$ ÁÕ¤èÒà·èҡѺà·èÒäËÃè ..
(ÁÕÇÔ¸ê¤Ô´ÍÂèÒ§Í×è¹ËÃ×Íà»ÅèÒ¤èÐ ¹Í¡¨Ò¡ÁÒ¤Ù³¡Ñ¹ÂÒÇ æ àÅÂ..) ¤Ô´ÍÂèÒ§¹Õé¡çä´é¤Ñº $9*7=63 ¼ÅºÇ¡à·èҡѺ 9 = 9*1$ $99*77=7623 ¼ÅºÇ¡à·èҡѺ 18 = 9*2 $ $999*777=776223 ¼ÅºÇ¡à·èҡѺ 27 = 9*3$ ¨Ò¡ $3$ ÊÁ¡ÒùÕé¹èÒ¨ÐÊÃØ»ÇèÒ ¶éÒÁÕ $9$ ËÃ×Í $7$ $6$ µÑǤ×Í $999999*777777$ ¨Ðà·èҡѺ $777776222223 ¼ÅºÇ¡à·èҡѺ 9*6=54$ ¹Ñ蹤×ͶéÒÁÕ $9$áÅÐ $7$ ·Ñé§ËÁ´ $n$ µÑÇ ¼ÅºÇ¡¢Í§àŢⴴ¨Ðà·èҡѺ $9n$ 06 ¡ØÁÀҾѹ¸ì 2011 21:30 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Cachy-Schwarz |
#10
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ÍéÒ§ÍÔ§:
. 1. ·ÓäÁµéͧà»ç¹ 9n à»ç¹ 7n äÁèä´éËÃ×Í.. 2. áÅжéÒà»ç¹àÅ¢Í×¹ æ¨Ðäéé´éäËÁ¤èÐ àªè¹ .. 888,888 X 444,444 ¢Íº¤Ø³ÁÒ¡¤èÐ |
#11
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@#10
µéͧÊѧࡵ Pattern ¤ÃѺ ÊèǹµÑÇ·Õè¶ÒÁ ÁÕ Pattern äËÁÅФÃѺ |
#12
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ÍéÒ§ÍÔ§:
Í×Á ..à¢éÒã¨áÅéÇ ¢Íº¤Ø³¤èÐ .. |
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