如图,在平面直角坐标系中,O为坐标原点.A,B两点的坐标分别为A(m,0),B(0,n),且|m-n-3|+ 2n-6 =0,点P从A出发
如图,在平面直角坐标系中,O为坐标原点.A,B两点的坐标分别为A(m,0),B(0,n),且|m-n-3|+ 2n-6 =0,点P从A出发
日期:2013-06-26 21:42:53 人气:1
(1)
二者均大于或等于零,而和为零,二者均为零:
m - n - 3 = 0
2n - 6 = 0
n = 3, m = 6
OA = 6, OB = 3
(2)
t秒时, PA = t, P(6 - t, 0)
△POB的面积S = (1/2)|OP|*OB = 3t/2
0 < 3|6 - t|/2 ≤ 3
0 < |6 - t| ≤ 3
6 < t ≤ 8或4 ≤ t < 6
(3)
△OAB的面积S