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∵CD是Rt△ABC斜邊上的高∴∠BCD=∠A 而在Rt△ACD中,E為AC的中點 ∴AE=CE=DE∴∠A=∠ADE 又∠ADE=∠BDF ∴∠BCD=∠BDF∴△DBF∽△CDF 所以BD/CD=DF/CF故有BD*CF=CD*DF 可以了吧,如正確請採納
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