已知:如图,在梯形ABCD中,AD‖BC,∠DCB=90°,E是AD的中点,点P事BC边上的动点(不与点B重合),EP与BD相交于(1)当P在BC边上运动时,求证:△BOP∽△DOE(2)设(1)中的相似比为k,若AD∶BC=2∶3,请探究
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![已知:如图,在梯形ABCD中,AD‖BC,∠DCB=90°,E是AD的中点,点P事BC边上的动点(不与点B重合),EP与BD相交于(1)当P在BC边上运动时,求证:△BOP∽△DOE(2)设(1)中的相似比为k,若AD∶BC=2∶3,请探究](/uploads/image/z/6775012-28-2.jpg?t=%E5%B7%B2%E7%9F%A5%3A%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E6%A2%AF%E5%BD%A2ABCD%E4%B8%AD%2CAD%E2%80%96BC%2C%E2%88%A0DCB%3D90%C2%B0%2CE%E6%98%AFAD%E7%9A%84%E4%B8%AD%E7%82%B9%2C%E7%82%B9P%E4%BA%8BBC%E8%BE%B9%E4%B8%8A%E7%9A%84%E5%8A%A8%E7%82%B9%EF%BC%88%E4%B8%8D%E4%B8%8E%E7%82%B9B%E9%87%8D%E5%90%88%EF%BC%89%2CEP%E4%B8%8EBD%E7%9B%B8%E4%BA%A4%E4%BA%8E%EF%BC%881%EF%BC%89%E5%BD%93P%E5%9C%A8BC%E8%BE%B9%E4%B8%8A%E8%BF%90%E5%8A%A8%E6%97%B6%2C%E6%B1%82%E8%AF%81%EF%BC%9A%E2%96%B3BOP%E2%88%BD%E2%96%B3DOE%EF%BC%882%EF%BC%89%E8%AE%BE%EF%BC%881%EF%BC%89%E4%B8%AD%E7%9A%84%E7%9B%B8%E4%BC%BC%E6%AF%94%E4%B8%BAk%2C%E8%8B%A5AD%E2%88%B6BC%3D2%E2%88%B63%2C%E8%AF%B7%E6%8E%A2%E7%A9%B6)
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