如图,已知直线PA交圆O于A、B两点,AE是圆O的直径,点C为圆O上一点,且AC平分∠PAE,过C作CD⊥PA,垂足为D,若DC+DA=6,圆O的直径为10,求AB的长度.
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![如图,已知直线PA交圆O于A、B两点,AE是圆O的直径,点C为圆O上一点,且AC平分∠PAE,过C作CD⊥PA,垂足为D,若DC+DA=6,圆O的直径为10,求AB的长度.](/uploads/image/z/445937-41-7.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%B7%B2%E7%9F%A5%E7%9B%B4%E7%BA%BFPA%E4%BA%A4%E5%9C%86O%E4%BA%8EA%E3%80%81B%E4%B8%A4%E7%82%B9%2CAE%E6%98%AF%E5%9C%86O%E7%9A%84%E7%9B%B4%E5%BE%84%2C%E7%82%B9C%E4%B8%BA%E5%9C%86O%E4%B8%8A%E4%B8%80%E7%82%B9%2C%E4%B8%94AC%E5%B9%B3%E5%88%86%E2%88%A0PAE%2C%E8%BF%87C%E4%BD%9CCD%E2%8A%A5PA%2C%E5%9E%82%E8%B6%B3%E4%B8%BAD%2C%E8%8B%A5DC%2BDA%3D6%2C%E5%9C%86O%E7%9A%84%E7%9B%B4%E5%BE%84%E4%B8%BA10%2C%E6%B1%82AB%E7%9A%84%E9%95%BF%E5%BA%A6.)
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