已知平行四边形ABCD中,对角线AC.BD交于点O,E是BD延长线上的点,且三角形ACE是等边三角线.(1)求证四边形ABCD是菱形.(2)若角ACD=2倍角EAD.求证四边形ABCD是正方形(完整过程)
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![已知平行四边形ABCD中,对角线AC.BD交于点O,E是BD延长线上的点,且三角形ACE是等边三角线.(1)求证四边形ABCD是菱形.(2)若角ACD=2倍角EAD.求证四边形ABCD是正方形(完整过程)](/uploads/image/z/2719914-42-4.jpg?t=%E5%B7%B2%E7%9F%A5%E5%B9%B3%E8%A1%8C%E5%9B%9B%E8%BE%B9%E5%BD%A2ABCD%E4%B8%AD%2C%E5%AF%B9%E8%A7%92%E7%BA%BFAC.BD%E4%BA%A4%E4%BA%8E%E7%82%B9O%2CE%E6%98%AFBD%E5%BB%B6%E9%95%BF%E7%BA%BF%E4%B8%8A%E7%9A%84%E7%82%B9%2C%E4%B8%94%E4%B8%89%E8%A7%92%E5%BD%A2ACE%E6%98%AF%E7%AD%89%E8%BE%B9%E4%B8%89%E8%A7%92%E7%BA%BF.%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%E5%9B%9B%E8%BE%B9%E5%BD%A2ABCD%E6%98%AF%E8%8F%B1%E5%BD%A2.%EF%BC%882%EF%BC%89%E8%8B%A5%E8%A7%92ACD%3D2%E5%80%8D%E8%A7%92EAD.%E6%B1%82%E8%AF%81%E5%9B%9B%E8%BE%B9%E5%BD%A2ABCD%E6%98%AF%E6%AD%A3%E6%96%B9%E5%BD%A2%EF%BC%88%E5%AE%8C%E6%95%B4%E8%BF%87%E7%A8%8B%EF%BC%89)
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