已知:如图,梯形ABCD中,AB//DC,E是BC的中点,AE、DC的延长线相交于点F,连接AC、BF.(1)求证AB=BF(2)若将梯形沿对角线AC折叠恰好D点与E点重合,梯形ABCD应满足什么条件,能使四边形ABFC为菱形?并加
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![已知:如图,梯形ABCD中,AB//DC,E是BC的中点,AE、DC的延长线相交于点F,连接AC、BF.(1)求证AB=BF(2)若将梯形沿对角线AC折叠恰好D点与E点重合,梯形ABCD应满足什么条件,能使四边形ABFC为菱形?并加](/uploads/image/z/5031791-71-1.jpg?t=%E5%B7%B2%E7%9F%A5%EF%BC%9A%E5%A6%82%E5%9B%BE%2C%E6%A2%AF%E5%BD%A2ABCD%E4%B8%AD%2CAB%2F%2FDC%2CE%E6%98%AFBC%E7%9A%84%E4%B8%AD%E7%82%B9%2CAE%E3%80%81DC%E7%9A%84%E5%BB%B6%E9%95%BF%E7%BA%BF%E7%9B%B8%E4%BA%A4%E4%BA%8E%E7%82%B9F%2C%E8%BF%9E%E6%8E%A5AC%E3%80%81BF.%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81AB%3DBF%EF%BC%882%EF%BC%89%E8%8B%A5%E5%B0%86%E6%A2%AF%E5%BD%A2%E6%B2%BF%E5%AF%B9%E8%A7%92%E7%BA%BFAC%E6%8A%98%E5%8F%A0%E6%81%B0%E5%A5%BDD%E7%82%B9%E4%B8%8EE%E7%82%B9%E9%87%8D%E5%90%88%2C%E6%A2%AF%E5%BD%A2ABCD%E5%BA%94%E6%BB%A1%E8%B6%B3%E4%BB%80%E4%B9%88%E6%9D%A1%E4%BB%B6%2C%E8%83%BD%E4%BD%BF%E5%9B%9B%E8%BE%B9%E5%BD%A2ABFC%E4%B8%BA%E8%8F%B1%E5%BD%A2%3F%E5%B9%B6%E5%8A%A0)
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