⑵ Connect AC, AC=BC, OC=m, ∴AC=BC=8-m,
In rt δ oac, AC 2 = OA 2+OC 2,
(8-m)^2= 16+m^2,m=3,
∴BC=5。
(3)∫d does not coincide with A, ∴∠DOC is an acute angle.
①∠OCD=90,CD=OC,OC=m,CD=- 1/2m+4,
From m=- 1/2m+4, m=8/3.
②∠ODC = 90°,OD=CD,
Then d is on the vertical line of OC, and DE⊥X axis is on e after passing through d,
OE= 1/2OC= 1/2m,DE=- 1/4m+4,
From OC=2DE, m=2(- 1/4m+4), m= 16/3.