如图,已知直角梯形ABCD中,角BAD=角CDA=90°,CD=2AB,过A,B,D三点的圆O分别交于BC,CD于E,M.(1)求证:DM=CM.(2)若CE=2,CM=根号6,求AE的长.
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![如图,已知直角梯形ABCD中,角BAD=角CDA=90°,CD=2AB,过A,B,D三点的圆O分别交于BC,CD于E,M.(1)求证:DM=CM.(2)若CE=2,CM=根号6,求AE的长.](/uploads/image/z/5269960-64-0.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%B7%B2%E7%9F%A5%E7%9B%B4%E8%A7%92%E6%A2%AF%E5%BD%A2ABCD%E4%B8%AD%2C%E8%A7%92BAD%3D%E8%A7%92CDA%3D90%C2%B0%2CCD%3D2AB%2C%E8%BF%87A%2CB%2CD%E4%B8%89%E7%82%B9%E7%9A%84%E5%9C%86O%E5%88%86%E5%88%AB%E4%BA%A4%E4%BA%8EBC%2CCD%E4%BA%8EE%2CM.%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9ADM%3DCM.%EF%BC%882%EF%BC%89%E8%8B%A5CE%3D2%2CCM%3D%E6%A0%B9%E5%8F%B76%2C%E6%B1%82AE%E7%9A%84%E9%95%BF.)
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