提问一道数学证明题在梯形ABCD中,AD‖BC,AB=CD,延长CB到E,使EB=AD,连接AE.(1)求证:AE=CA(2)若恰好AC平分∠BCD,AC⊥AB,AD=2,试求四边形AECD的周长和面积
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![提问一道数学证明题在梯形ABCD中,AD‖BC,AB=CD,延长CB到E,使EB=AD,连接AE.(1)求证:AE=CA(2)若恰好AC平分∠BCD,AC⊥AB,AD=2,试求四边形AECD的周长和面积](/uploads/image/z/7100914-58-4.jpg?t=%E6%8F%90%E9%97%AE%E4%B8%80%E9%81%93%E6%95%B0%E5%AD%A6%E8%AF%81%E6%98%8E%E9%A2%98%E5%9C%A8%E6%A2%AF%E5%BD%A2ABCD%E4%B8%AD%2CAD%E2%80%96BC%2CAB%3DCD%2C%E5%BB%B6%E9%95%BFCB%E5%88%B0E%2C%E4%BD%BFEB%3DAD%2C%E8%BF%9E%E6%8E%A5AE.%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9AAE%3DCA%EF%BC%882%EF%BC%89%E8%8B%A5%E6%81%B0%E5%A5%BDAC%E5%B9%B3%E5%88%86%E2%88%A0BCD%2CAC%E2%8A%A5AB%2CAD%3D2%2C%E8%AF%95%E6%B1%82%E5%9B%9B%E8%BE%B9%E5%BD%A2AECD%E7%9A%84%E5%91%A8%E9%95%BF%E5%92%8C%E9%9D%A2%E7%A7%AF)
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