在平面直角坐标系中,点P(x,y)为动点,已知点A(根号2,0),B(负根号2,0),直线PA与PB的斜率之积为-1/2.(1)求动点P的轨迹E的方程;【已解决,答案x^2/2+y^2=1(x≠±根号2,y≠0)】(2)过点F(1,0)的直线L交曲线E于M,
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![在平面直角坐标系中,点P(x,y)为动点,已知点A(根号2,0),B(负根号2,0),直线PA与PB的斜率之积为-1/2.(1)求动点P的轨迹E的方程;【已解决,答案x^2/2+y^2=1(x≠±根号2,y≠0)】(2)过点F(1,0)的直线L交曲线E于M,](/uploads/image/z/3009309-69-9.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%BB%E4%B8%AD%2C%E7%82%B9P%28x%2Cy%29%E4%B8%BA%E5%8A%A8%E7%82%B9%2C%E5%B7%B2%E7%9F%A5%E7%82%B9A%28%E6%A0%B9%E5%8F%B72%2C0%29%2CB%28%E8%B4%9F%E6%A0%B9%E5%8F%B72%2C0%29%2C%E7%9B%B4%E7%BA%BFPA%E4%B8%8EPB%E7%9A%84%E6%96%9C%E7%8E%87%E4%B9%8B%E7%A7%AF%E4%B8%BA-1%2F2.%281%29%E6%B1%82%E5%8A%A8%E7%82%B9P%E7%9A%84%E8%BD%A8%E8%BF%B9E%E7%9A%84%E6%96%B9%E7%A8%8B%EF%BC%9B%E3%80%90%E5%B7%B2%E8%A7%A3%E5%86%B3%2C%E7%AD%94%E6%A1%88x%5E2%2F2%2By%5E2%3D1%28x%E2%89%A0%C2%B1%E6%A0%B9%E5%8F%B72%2Cy%E2%89%A00%29%E3%80%91%282%29%E8%BF%87%E7%82%B9F%281%2C0%29%E7%9A%84%E7%9B%B4%E7%BA%BFL%E4%BA%A4%E6%9B%B2%E7%BA%BFE%E4%BA%8EM%2C)
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