There will be many changes in our life in the future. We will____ flying cars to work. We will travel to ____ . Maybe we will ____ live in space. Students won't ____  schoolbags to go to school any more. They will learn on ____ at home. And there will be robots in our home. The robots will help us do all the housework. Life will be great at that time.

如图（1），在△ABC中，∠ACB=90°，AC=BC=$\sqrt{2}$，点D在AC上，点E在BC上，且CD=CE，连接DE．

（1）线段BE与AD的数量关系是，位置关系是．

（2）如图（2），当△CDE绕点C顺时针旋转一定角度α后，（1）中的结论是否仍然成立？如果成立，请给予证明；如果不成立，请说明理由．

（3）绕点C继续顺时针旋转△CDE，当90°＜α＜180°时，延长DC交AB于点F，请在图（3）中补全图形，并求出当AF=1+$\frac{\sqrt{3}}{3}$时，旋转角α的度数．

Does Alice likes playing football？