As shown in the figure, the four vertices of the quadrilateral ABCD are on ⊙ o, AC and BD are diagonals, and AC ⊥ BD, OE ⊥ BC are on E. explore the quantitative relationship between OE and AD

A: OE = 12ad. Prove: connect CO to extend intersection ⊙ o to P, connect BP. Then ∵ CBP = 90 °; ∵ OE ⊥ BC, according to the vertical diameter theorem, be = EC; and ∵ be = EC, Po = OC, ∵ OE is the median line of △ PBC, ∵ OE = 12bp; ∵ 1 = ∵ 2, ∵ PBD = 90 ° - ∵ 1, ∵ ADB = 90 ° - ∵ 2, ∵ PBD = ∵ ADB, PD

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