24.在△ABC中,∠ACB=90°,AC=BC=2,把△ABC繞點(diǎn)B順時(shí)針旋轉(zhuǎn)得到△DBE(點(diǎn)A與D對(duì)應(yīng)).
(1)如圖1,若點(diǎn)E落在邊AB上,連接AD,求AE的長(zhǎng);
(2)如圖2,若旋轉(zhuǎn)角度為60°,連接AE.求AE的長(zhǎng);
(3)如圖3,若旋轉(zhuǎn)角度為α(45°≤α≤90°),連接AD,BF⊥AD,垂足為F.求證:C,E,F(xiàn)三點(diǎn)在同一直線上.