在平面直角坐标系xOy中,点B与点A(-1,1)关于原点O对称,P是动点,且直线AP与BP的斜率之积等于-1\3.(1)求动点P的轨迹方程.(2)若M,N是点P轨迹上关于原点对称的两点,求证直线MP与NP的斜率之积
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![在平面直角坐标系xOy中,点B与点A(-1,1)关于原点O对称,P是动点,且直线AP与BP的斜率之积等于-1\3.(1)求动点P的轨迹方程.(2)若M,N是点P轨迹上关于原点对称的两点,求证直线MP与NP的斜率之积](/uploads/image/z/8923577-41-7.jpg?t=%E5%9C%A8%E5%B9%B3%E9%9D%A2%E7%9B%B4%E8%A7%92%E5%9D%90%E6%A0%87%E7%B3%BBxOy%E4%B8%AD%2C%E7%82%B9B%E4%B8%8E%E7%82%B9A%EF%BC%88-1%2C1%EF%BC%89%E5%85%B3%E4%BA%8E%E5%8E%9F%E7%82%B9O%E5%AF%B9%E7%A7%B0%2CP%E6%98%AF%E5%8A%A8%E7%82%B9%2C%E4%B8%94%E7%9B%B4%E7%BA%BFAP%E4%B8%8EBP%E7%9A%84%E6%96%9C%E7%8E%87%E4%B9%8B%E7%A7%AF%E7%AD%89%E4%BA%8E-1%5C3.%EF%BC%881%EF%BC%89%E6%B1%82%E5%8A%A8%E7%82%B9P%E7%9A%84%E8%BD%A8%E8%BF%B9%E6%96%B9%E7%A8%8B.%EF%BC%882%EF%BC%89%E8%8B%A5M%2CN%E6%98%AF%E7%82%B9P%E8%BD%A8%E8%BF%B9%E4%B8%8A%E5%85%B3%E4%BA%8E%E5%8E%9F%E7%82%B9%E5%AF%B9%E7%A7%B0%E7%9A%84%E4%B8%A4%E7%82%B9%2C%E6%B1%82%E8%AF%81%E7%9B%B4%E7%BA%BFMP%E4%B8%8ENP%E7%9A%84%E6%96%9C%E7%8E%87%E4%B9%8B%E7%A7%AF)
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