如图所示,D、E分别是△ABC的边BC、AB上的点,△ABD与△ACD的周长相等,△CAE与△CBE的周长相等.设BC=3,AC=9.(1)求证AE=CD:(2)若AD垂直于CE,垂足为F.当DE=2根号2,EF=3时,求AB得长.
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![如图所示,D、E分别是△ABC的边BC、AB上的点,△ABD与△ACD的周长相等,△CAE与△CBE的周长相等.设BC=3,AC=9.(1)求证AE=CD:(2)若AD垂直于CE,垂足为F.当DE=2根号2,EF=3时,求AB得长.](/uploads/image/z/2522834-26-4.jpg?t=%E5%A6%82%E5%9B%BE%E6%89%80%E7%A4%BA%2CD%E3%80%81E%E5%88%86%E5%88%AB%E6%98%AF%E2%96%B3ABC%E7%9A%84%E8%BE%B9BC%E3%80%81AB%E4%B8%8A%E7%9A%84%E7%82%B9%2C%E2%96%B3ABD%E4%B8%8E%E2%96%B3ACD%E7%9A%84%E5%91%A8%E9%95%BF%E7%9B%B8%E7%AD%89%2C%E2%96%B3CAE%E4%B8%8E%E2%96%B3CBE%E7%9A%84%E5%91%A8%E9%95%BF%E7%9B%B8%E7%AD%89.%E8%AE%BEBC%3D3%2CAC%3D9.%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81AE%3DCD%EF%BC%9A%EF%BC%882%EF%BC%89%E8%8B%A5AD%E5%9E%82%E7%9B%B4%E4%BA%8ECE%2C%E5%9E%82%E8%B6%B3%E4%B8%BAF.%E5%BD%93DE%3D2%E6%A0%B9%E5%8F%B72%2CEF%3D3%E6%97%B6%2C%E6%B1%82AB%E5%BE%97%E9%95%BF.)
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