初中几何竞赛题,高手进已知凸四边形ABCD满足AB=BC=2,CD=2根号3,DA=2根号5,对角线AC、BD交于点E,M为AC中点,AE>AM,N为BD中点,BE<BN,且MN=根号2,求四边形ABCD的面积.
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![初中几何竞赛题,高手进已知凸四边形ABCD满足AB=BC=2,CD=2根号3,DA=2根号5,对角线AC、BD交于点E,M为AC中点,AE>AM,N为BD中点,BE<BN,且MN=根号2,求四边形ABCD的面积.](/uploads/image/z/6133628-20-8.jpg?t=%E5%88%9D%E4%B8%AD%E5%87%A0%E4%BD%95%E7%AB%9E%E8%B5%9B%E9%A2%98%2C%E9%AB%98%E6%89%8B%E8%BF%9B%E5%B7%B2%E7%9F%A5%E5%87%B8%E5%9B%9B%E8%BE%B9%E5%BD%A2ABCD%E6%BB%A1%E8%B6%B3AB%3DBC%3D2%2CCD%3D2%E6%A0%B9%E5%8F%B73%2CDA%3D2%E6%A0%B9%E5%8F%B75%2C%E5%AF%B9%E8%A7%92%E7%BA%BFAC%E3%80%81BD%E4%BA%A4%E4%BA%8E%E7%82%B9E%2CM%E4%B8%BAAC%E4%B8%AD%E7%82%B9%2CAE%EF%BC%9EAM%2CN%E4%B8%BABD%E4%B8%AD%E7%82%B9%2CBE%EF%BC%9CBN%2C%E4%B8%94MN%3D%E6%A0%B9%E5%8F%B72%2C%E6%B1%82%E5%9B%9B%E8%BE%B9%E5%BD%A2ABCD%E7%9A%84%E9%9D%A2%E7%A7%AF.)
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