13. Two points A (6,-8) and B (0,0) are given. P is a point on line segment AB. Find the coordinates of P if each of the following conditions is satisfied.
(a) AP = 3/5 AB
(b) PB = 4/7 AB
Coordinate Geometry of Straight Lines
2007-04-25 5:34 am
回答 (2)
2007-04-28 8:23 am
✔ 最佳答案
(a)AP=3/5AB < = > AP/AB=3/5 < = > PB:AP = 2:3 Let P = (a,b)
By point-intersecting theorem :
a = ((2)(6)+(3)(0))/(2+3)
= 12/5
b = (2)(-8)+(3)(0)/(2+3)
= -16/5
(b) PB = 4/7 AB < = > PB:AP= 4:3
Let P = (c,d)
By point-intersecting theorem :
c = ((4)(6)+(3)(0))/(4+3)
= 24/7
d = (4)(-8)+(3)(0)/(4+3)
= -32/7
參考: Me
收錄日期: 2021-04-13 18:01:31
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