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µoªí ¥Ñ devell ©ó ¬P´Á¤» ¤Q¤@¤ë 02, 2013 12:15 pm

§A¥i¥H¥ýºâ¥XABªºªø«× = 8®Ú¸¹2

µM«á¨D¥X AC ¡G CB = 2 ¡G 8®Ú¸¹2 - 2

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µoªí ¥Ñ note999 ©ó ¬P´Á¤é ¤E¤ë 29, 2013 1:00 am

benice ±z¦n :

«Ü·PÁ±z­@¤ß¸Ñµª§Úªº°ÝÃD
¤§«e§ÚÅçÃÒ¦¹¤½¦¡
CÂI§¤¼Ð¡G¡]AÂIX§¤¼Ð+¶ZÂ÷*Cos¨¤«×¡AAÂIY§¤¼Ð+¶ZÂ÷*sin¨¤«×)


C ÂI®y¼Ð (X,Y) ¬°
X = x1 + |AC|(x2-x1)/|AB| = x1 + |AC|cos(£c)¡A
Y = y1 + |AC|(y2-y1)/|AB| = y1 + |AC|sin(£c)¡A
¨ä¤¤£c¬°ª½½u AB »P X ¶bªº§¨¨¤¡C

¬O§âª½½u»P®y¼Ð¥Îµ{¦¡µe¥X¨Ó
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§Ú²q·Q¥i¯à¦]¬°¹q¸£Ã¸¹Ï®y¼Ð¬O¥H "¾ã¼Æ" ¬°³æ¦ì
ex. (1+¡Ô2,1+¡Ô2) = (2.414 , 2.414) ·|¦bµÛ¹Ï¦b (2,2) ¤W
©Ò¥H¤~³y¦¨°¾²¾


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Re: [°ÝÃD] ¨Dª½½u¤W¬Y¶ZÂ÷ªºÂI®y¼Ð(ªþ¹Ï)

µoªí ¥Ñ benice ©ó ¬P´Á¤» ¤E¤ë 28, 2013 6:52 pm

note999 ¼g¨ì:
´¿¦bºô¸ô¤W¬Ý¨ì¤@­Ó¤½¦¡
CÂI§¤¼Ð¡G¡]AÂIX§¤¼Ð+¶ZÂ÷*Cos¨¤«×¡AAÂIY§¤¼Ð+¶ZÂ÷*sin¨¤«×¡^
¦ýÅçÃÒ°_¨Ó¦n¹³¬O¿ùªº

¤½¦¡¨S¿ù¡AC ÂI®y¼Ð¬° (1+¡Ô2,1+¡Ô2)¡C

»¡©ú¦p¤U¡G

³] A(x1,y1), B(x2,y2) ¬°¥­­±¤W¨âÂI¡A
«h½u¬q AB ªº°Ñ¼Æ¦¡¬°¡G
ùú x = x1 + (x2-x1)t
¢x
ùü y = y1 + (y2-y1)t¡A0¡Øt¡Ø1¡C
ª`·N¤W¦¡¦b t = 0 »P t = 1 ®É¤À§Oªí¥Ü A ÂI»P B ÂI¡C

½u¬q AB ¤W¤@ÂI C¡A­Y A, C ¶ZÂ÷¬°¤wª¾¡A
¥i¥Ñ½u©Ê¤ñ¨Ò |AC| : |AB| = t : 1
¨D¥X C ¬Û¹ïÀ³ªº°Ñ¼Æ­È t = |AC|/|AB|¡A
©Ò¥H C ÂI®y¼Ð (X,Y) ¬°
X = x1 + |AC|(x2-x1)/|AB| = x1 + |AC|cos(£c)¡A
Y = y1 + |AC|(y2-y1)/|AB| = y1 + |AC|sin(£c)¡A
¨ä¤¤£c¬°ª½½u AB »P X ¶bªº§¨¨¤¡C

[°ÝÃD] ¨Dª½½u¤W¬Y¶ZÂ÷ªºÂI®y¼Ð(ªþ¹Ï)

µoªí ¥Ñ note999 ©ó ¬P´Á¤» ¤E¤ë 28, 2013 2:58 pm

¥ªÁä: ÂIÀ»ÁY©ñ; ¥kÁä: Æ[¬Ý­ì¹Ï

¦p¹Ï¥Ü

¤wª¾ª½½u¤W¨âÂI A(1,1) ¤Î B(9,9)

¨D½u¤W¤@ÂI C(X,Y),
º¡¨¬ |AC| = 2 (AC¶ZÂ÷¬°2)


½Ð°Ý¬O§_¦³¤½¦¡¥iºâ X »P Y ?


[¦Û¤vªº·Qªk/±Àºâ]

¥i¥Î¨âÂI¦¡§ä¥X±×²v(m)¬° 1
§¨¨¤(ang)¬° 45'

=============================================
m = (Yb-Ya) / (Xb-Xa) = (7-1) / (7-1) = 1

ang = atan(m) / (£k/180)
       = atan(1) / (3.1415926/180) = 45'
=============================================

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