已知两点A(2,2)、B(-2,5),试在y轴上求一点P,使AP⊥PB,写出P点坐标
问题描述:
已知两点A(2,2)、B(-2,5),试在y轴上求一点P,使AP⊥PB,写出P点坐标
答
设p(0,y)
kAP = (2-y)/(2-0)
kBP = (5-y) = (-2-0)
kAP*kBP = 1或-1
解得 y = 1,y=6
p(0,1) (0,6)