已知椭圆x^2/a^2+y^2/b^2=1经过点P(根号6/2,1/2),离心率是根号2/2,动点M(2,t)(1)求椭圆的标准方程(2)求以OM为直径且被直线3x-4y-5=0截得的弦长为2的圆的方程
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![已知椭圆x^2/a^2+y^2/b^2=1经过点P(根号6/2,1/2),离心率是根号2/2,动点M(2,t)(1)求椭圆的标准方程(2)求以OM为直径且被直线3x-4y-5=0截得的弦长为2的圆的方程](/uploads/image/z/2490905-65-5.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1%E7%BB%8F%E8%BF%87%E7%82%B9P%28%E6%A0%B9%E5%8F%B76%2F2%2C1%2F2%29%2C%E7%A6%BB%E5%BF%83%E7%8E%87%E6%98%AF%E6%A0%B9%E5%8F%B72%2F2%2C%E5%8A%A8%E7%82%B9M%282%2Ct%29%281%29%E6%B1%82%E6%A4%AD%E5%9C%86%E7%9A%84%E6%A0%87%E5%87%86%E6%96%B9%E7%A8%8B%282%29%E6%B1%82%E4%BB%A5OM%E4%B8%BA%E7%9B%B4%E5%BE%84%E4%B8%94%E8%A2%AB%E7%9B%B4%E7%BA%BF3x-4y-5%3D0%E6%88%AA%E5%BE%97%E7%9A%84%E5%BC%A6%E9%95%BF%E4%B8%BA2%E7%9A%84%E5%9C%86%E7%9A%84%E6%96%B9%E7%A8%8B)
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