求 P 的坐標

2011-05-03 2:37 am
1. A (1,3),B (7,-9),AP:PB = 1 :1/5

求 P 的坐標

回答 (2)

2011-05-03 2:46 am
✔ 最佳答案
AP : PB = 1 : 5 = 5 : 1

用分點公式﹐P的x坐標 = (1 + 35)/6 = 6

P的y坐標 = (3 - 45)/6 = -7

因此P(6, -7)
2011-05-03 7:34 am
1. A (1,3),B (7,-9),AP:PB = 1 :1/5

求 P 的坐標

設P坐標 為(x,y)
x=1/5×(1)+1×(7)/1+1/5
=1/5+7/1+1/5
=-1+7/-1/5+1/5
=6
y=1/5×(3)+1×(-9)/1+1/5
=3/5-9/1+1/5
=-7

P 的坐標是(6,-7)


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