已知椭圆x^2/a^2+y^2/b^2=1(a>b>0)的长轴长为4,离心率为1/2,点P是椭圆上异于顶点的任意一点,过点P作椭圆的切线L,交y轴于点A,直线L1过电P且垂直于L,交y轴于B.(1)求椭圆的方程(2)试判断以AB为直
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![已知椭圆x^2/a^2+y^2/b^2=1(a>b>0)的长轴长为4,离心率为1/2,点P是椭圆上异于顶点的任意一点,过点P作椭圆的切线L,交y轴于点A,直线L1过电P且垂直于L,交y轴于B.(1)求椭圆的方程(2)试判断以AB为直](/uploads/image/z/10081164-12-4.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1%28a%3Eb%3E0%29%E7%9A%84%E9%95%BF%E8%BD%B4%E9%95%BF%E4%B8%BA4%2C%E7%A6%BB%E5%BF%83%E7%8E%87%E4%B8%BA1%2F2%2C%E7%82%B9P%E6%98%AF%E6%A4%AD%E5%9C%86%E4%B8%8A%E5%BC%82%E4%BA%8E%E9%A1%B6%E7%82%B9%E7%9A%84%E4%BB%BB%E6%84%8F%E4%B8%80%E7%82%B9%2C%E8%BF%87%E7%82%B9P%E4%BD%9C%E6%A4%AD%E5%9C%86%E7%9A%84%E5%88%87%E7%BA%BFL%2C%E4%BA%A4y%E8%BD%B4%E4%BA%8E%E7%82%B9A%2C%E7%9B%B4%E7%BA%BFL1%E8%BF%87%E7%94%B5P%E4%B8%94%E5%9E%82%E7%9B%B4%E4%BA%8EL%2C%E4%BA%A4y%E8%BD%B4%E4%BA%8EB.%EF%BC%881%EF%BC%89%E6%B1%82%E6%A4%AD%E5%9C%86%E7%9A%84%E6%96%B9%E7%A8%8B%EF%BC%882%EF%BC%89%E8%AF%95%E5%88%A4%E6%96%AD%E4%BB%A5AB%E4%B8%BA%E7%9B%B4)
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