8     §¤¼Ð´X¦ó (Coordinate Geometry)

8.1  °ò¦ª¾ÃÑ

½Ð¥ý·Å²ß¤¤¤@ªº¡§§¤¼Ð²¤¶¡¨¡C

¦¹¥~¡A喺¨Ì½Ò¤J­±¡A§Ú哋·|§Q¥Î¥kÃä´T¹Ï

 

8.2  ¨âÂI¶¡ªº¶ZÂ÷

       

 

¯d·NAS = x2 ¡V x1 ¤Î BS = y2 ¡V y1¡C¥u­n§A°O±oÂI¥Î²¦¤ó©w²z嚟¨Dª½¨¤¤T¨¤§Î¤¤ªº±×Ãäªø«×¡] ¡^¡A¨ä¹ê­n²z¸Ñ¨Ì±ø¦¡³£­ø¤ÓÃø¡C

 

8.3  ª½½uªº±×²v (Slope of a straight line)

§Ú哋³q±`¥Î²Ó·¢¡§m¡¨¥Nªí±×²v¡A©Ò¥HABªº±×²v³q±`·|¼g¦¨ ¡]¯d·NAB«Y¼g²ÓDmûH¥k¤U¨¤¡^¡C

 

l   ¤ô¥­½u¡]§Y»Px-¶b¥­¦æªº½u¡^ªº±×²v¬O0

l   ¹]««½u¡]§Y»Py-¶b¥­¦æªº½u¡^ªº±×²v¬O¨S¦³·N¸qªº¡C

 

8.4  ¥­¦æ½u»P««ª½½u (Parallel lines and Perpendicular lines)

l   ­Y¨â±ø½u¤¬¬Û¥­¦æ¡A«h¥¦­Ìªº±×²v¬Ûµ¥¡A§Y m1 = m2

l   ­Y¨â±ø½u¤¬¬Û««ª½¡A«hm1 x m2 = - 1

 

8.5  ¤ÀÂI¨âÂIªº¤¤ÂI (Mid-point of 2 points)

­YMÂI¬OAB½u¬q¤Wªº¤¤¶¡ÂI¡A«hMªº§¤¼Ð(x, y) ¬°

 

8.6  ¤ÀÂI (Point of Division)

­YPÂI¬OAB½u¬q¤Wªº¤@ÂI¨Ï¡@AP : PB = r : s¡A«hPÂIªº§¤¼Ð(x, y)¬°¡G