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à¤Ã×èͧÁ×ͧ͢ËÑÇ¢éÍ | ¤é¹ËÒã¹ËÑÇ¢é͹Õé |
#1
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·º.àÁà¹ÅÍÊ ½Ò¡ªèǤԴ¤ÃѺ
ÊÒÁàËÅÕèÂÁ ABC Áըش E áÅÐ F ÍÂÙ躹´éÒ¹ AC áÅÐ AB µÒÁÅӴѺ ÁÕ BE áÅÐ CF µÑ´¡Ñ¹·Õè¨Ø´ X ·ÓãËé
$ \frac{AF}{FB} = \left(\,\frac{AE}{EC} \right)^2 $ â´Â X à»ç¹¨Ø´¡Ö觡ÅÒ§¢Í§ BE ¨§ËÒ $ \frac{CX}{XF} $ ¤Ô´ÇèÒ¢é͹Õéãªé·º.àÁà¹ÅÍʤÃѺ áµèÇèÒ·Óä»áÅéǵѹ¤ÃѺ ½Ò¡ªèǤԴ·Õ¤ÃѺ ¢Íº¤Ø³¤ÃѺ |
#2
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ú¡Ç¹Í¸ÔºÒÂãËé´éǤÃѺ ¼ÁäÁèàËç¹µÑÇàÅ¢ã¹â¨·Âìà·èÒäËÃè àÅÂä»äÁèà»ç¹¤ÃѺ
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#3
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#1
àË繺͡ÇèÒ·ÓáÅéǵѹ ÍÂÒ¡·ÃÒºÇèÒ·ÓÍÐäÃ仺éÒ§¤ÃѺ áÅéǵѹµÃ§ä˹ |
#4
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ÍéÒ§ÍÔ§:
¼ÁÅͧÇÒ´ÃÙ» áÅéÇãªéàÁà¹ÅÍÊ $ \frac{AC}{CE} \times \frac{EX}{XB} \times \frac{BF}{FA} = 1$ ¨Ò¡ X à»ç¹¨Ø´¡Ö觡ÅÒ§¢Í§ BE ¨Ðä´é EX = XB ¨Ò¡â¨·Âì¨Ðä´é $ \frac{BF}{FA} = \left(\,\frac{EC}{AE} \right)^2 $ ᷹㹠·º. àÁà¹ÅÍÊ ¨Ðä´é $\frac{AC}{CE} \times \frac{1}{1} \times \left(\,\frac{EC}{AE} \right)^2 = 1$ áÅéÇ $ AE^2 = (AC)(EC) = (AE + EC)(EC) $ µÔ´ÍÂÙèá¶Çæ¹Õé¤ÃѺ µÑ¹áÅéÇ Ãº¡Ç¹·èÒ¹¼ÙéÃÙé¤ÃѺ |
#5
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ÍéÒ§ÍÔ§:
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#6
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ÊÁ¡ÒùÕéãªéá¡éËÒ¤èÒºÒ§ÍÂèÒ§ä´é¹Ð¤ÃѺ Åͧ´Ù´Õæ
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#7
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¤ÃѺ ¢Íº¤Ø³ÁÒ¡¤ÃѺ ·Óä´éáÅéǤÃѺ áÅéÇãÊèàÁà¹ÅÍÊÍÕ¡·Õ ÊØ´·éÒ¨º·Õè $ \sqrt{5} $ ¤ÃѺ |
#8
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#8
¤ÃѺ ¶Ù¡áÅéǤÃѺ 21 ¡ØÁÀҾѹ¸ì 2013 00:06 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Amankris |
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