如图,点P是菱形ABCD的对角线BD上一点,连接CP并延长,交AD于E,交BA的延长线于F.(1)求证:∠DCP=∠DAP;(2)若AB=2,DP:PB=1:2,且PA⊥BF,求对角线BD的长.
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![如图,点P是菱形ABCD的对角线BD上一点,连接CP并延长,交AD于E,交BA的延长线于F.(1)求证:∠DCP=∠DAP;(2)若AB=2,DP:PB=1:2,且PA⊥BF,求对角线BD的长.](/uploads/image/z/2575484-44-4.jpg?t=%E5%A6%82%E5%9B%BE%2C%E7%82%B9P%E6%98%AF%E8%8F%B1%E5%BD%A2ABCD%E7%9A%84%E5%AF%B9%E8%A7%92%E7%BA%BFBD%E4%B8%8A%E4%B8%80%E7%82%B9%2C%E8%BF%9E%E6%8E%A5CP%E5%B9%B6%E5%BB%B6%E9%95%BF%2C%E4%BA%A4AD%E4%BA%8EE%2C%E4%BA%A4BA%E7%9A%84%E5%BB%B6%E9%95%BF%E7%BA%BF%E4%BA%8EF%EF%BC%8E%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9A%E2%88%A0DCP%3D%E2%88%A0DAP%EF%BC%9B%EF%BC%882%EF%BC%89%E8%8B%A5AB%3D2%2CDP%EF%BC%9APB%3D1%EF%BC%9A2%2C%E4%B8%94PA%E2%8A%A5BF%2C%E6%B1%82%E5%AF%B9%E8%A7%92%E7%BA%BFBD%E7%9A%84%E9%95%BF%EF%BC%8E)
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