过点(6,8)作互相垂直的直线PA,PB,分别交x轴正向于A,交Y轴正向于B,求线段AB中点M的轨迹方程
人气:353 ℃ 时间:2020-04-16 01:12:55
解答
过点P(6,8)作互相垂直的直线PA,PB,分别交x轴正向于A(a,0),交Y轴正向于B(0,b),求线段AB中点M的轨迹方程.PA⊥PB,→K(pA)*K(PB)=-1,→[(0-8)/(a-6)]*[(b-8)/(0-6)]=-1,→[-8(b-8)]/[-6(a-6)]=-1,→-8(b-8)]=6(a-6),→...
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