如图,⊙O的弦AB∥CD,直径BE平分AD于点G,交弦CD于点H,过点B作BF∥AD交CD延长线于点F.(1)求证:BF与⊙O相切;
(2)求证:DF=DH;
(3)若弦AB=5㎝,AD=8㎝,求⊙O的半径.
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如图,⊙O的弦AB∥CD,直径BE平分AD于点G,交弦CD于点H,过点B作BF∥AD交CD延长线于点F.(1)求证:BF与⊙O相切;
(2)求证:DF=DH;
(3)若弦AB=5㎝,AD=8㎝,求⊙O的半径.