i?是圆心?i是o吧
(1)连接oc,∠aoc=2∠abc(同弧对应的圆心角是圆周角的两倍),又因为∠abc=∠cbg(弧长相等角度相等)
∠aoc=2∠abc=∠abc+∠cbg=∠abg;所以oc∥bg,
又因为cd垂直bg,所以oc垂直于cd,所以cd是圆o的切线
(2)设半径为r,因为△ofc∽△bfd,oc/bd=2/3
△eoc∽△cbd,eo/ed=oc/bd=2/3
eo/ed=(ea+ac)/(ea+ab)=(ea+r)(ea+2r)=2/3
ea=r
sin∠e=oc/oe=r/(2r)=1/2,∠e=30°