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【简答题】
如图,AB是⊙O的直径,弦CD⊥AB于E,弦CD、AF相交于点G,过点D作⊙O的切线交AF的延长线于M,且 AC = CBF . (1)在图中找出相等的线段(直接在横线上填写,所写结论至少3组,所添辅助线段除外,不需 写推理过程)______; (2)连接AD,DF(请将图形补充完整),若AO= 4 5 15 ,OE= 1 5 15 ,求AD:DF的值; (3)在满足(1)、(2)的前提下,求DM的长.
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