矩形ABCD中,对角线AC、BD交于点O,AE⊥BD于E,若OE:ED=1:3,AE=根号3,则BD=_______.
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![矩形ABCD中,对角线AC、BD交于点O,AE⊥BD于E,若OE:ED=1:3,AE=根号3,则BD=_______.](/uploads/image/z/13140774-54-4.jpg?t=%E7%9F%A9%E5%BD%A2ABCD%E4%B8%AD%2C%E5%AF%B9%E8%A7%92%E7%BA%BFAC%E3%80%81BD%E4%BA%A4%E4%BA%8E%E7%82%B9O%2CAE%E2%8A%A5BD%E4%BA%8EE%2C%E8%8B%A5OE%EF%BC%9AED%3D1%EF%BC%9A3%2CAE%3D%E6%A0%B9%E5%8F%B73%2C%E5%88%99BD%3D_______.)
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