如图1，在△ABC中，AB=AC，∠ABC=α，D是BC边上一点，以AD为边作△ADE，使AE=AD，∠DAE+∠BAC=180°．

（1）直接写出∠ADE的度数（用含α的式子表示）；

（2）以AB，AE为边作平行四边形ABFE，

①如图2，若点F恰好落在DE上，求证：BD=CD；

②如图3，若点F恰好落在BC上，求证：BD=CF．

    I like school days. I can learn many things from school. We have four classes in the morning and two in the afternoon. I like weekends, too. We don't go to school on Saturdays and Sundays. I often play ping-pong and play basketball on Saturday morning. I often play the violin (小提琴) on Saturday afternoon. I often do homework and play football on Sunday morning. I often go to the park on Sunday afternoon.