(1) extend the CO intersection ⊙O to point f, and it is easy to know that the bad arc length CB= bad arc length BD= bad arc length AF.

And because CE is the bisector of ∠OCD, there is a bad arc length FE= a bad arc length DE.

Therefore, the bad arc length AE= the bad arc length BE, that is, E is the midpoint of the arc ADB.

(2) ① CH = √ 3/2, OC= 1, and it is easy to get ∠ COH = 60.

Therefore ∠ OCA = 30.

If the vertical line passes through the O direction to AC and the vertical foot is G, then OG= 1/2*OC= 1/2.

② There are three points.