证明:OD=OB;OC=OC;∠CDO=∠CBO=90°.
则Rt⊿CBO≌Rt⊿CDO(HL),∠COD=∠COB,即∠BOD=2∠COB;
OE=OD,则∠OED=∠ODE,故∠BOD=∠OED+∠ODE=2∠OED.
所以,∠COB=∠OED,得DE//OC.
证明:OD=OB;OC=OC;∠CDO=∠CBO=90°.
则Rt⊿CBO≌Rt⊿CDO(HL),∠COD=∠COB,即∠BOD=2∠COB;
OE=OD,则∠OED=∠ODE,故∠BOD=∠OED+∠ODE=2∠OED.
所以,∠COB=∠OED,得DE//OC.