∵OE∥AC, BO与OC平分∠ABC与∠ACB,
即 ∠ ECO＝∠ACO,∠BOD=∠ABD,
∴∠OCA＝ ∠COE＝∠OCE,
∴∠OBA＝ ∠BOD＝∠OBD,
∴CE＝OE,BD＝OD,
∴三角形ODE周长＝OE＋OD＋ED＝CE＋BD＋DE＝BC＝6
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