如图,E是矩形ABCD的边BC上一点,EF⊥AE,EF分别交AC,CD于点M,F,BG⊥AC,垂足为C,BG交AE于点H.(1)求证:△ABE∽△ECF;(2)找出与△ABH相似的三角形,并证明;(3)若E是BC中点,BC=2AB,AB=2,求EM的长.BG⊥
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![如图,E是矩形ABCD的边BC上一点,EF⊥AE,EF分别交AC,CD于点M,F,BG⊥AC,垂足为C,BG交AE于点H.(1)求证:△ABE∽△ECF;(2)找出与△ABH相似的三角形,并证明;(3)若E是BC中点,BC=2AB,AB=2,求EM的长.BG⊥](/uploads/image/z/5553358-70-8.jpg?t=%E5%A6%82%E5%9B%BE%2CE%E6%98%AF%E7%9F%A9%E5%BD%A2ABCD%E7%9A%84%E8%BE%B9BC%E4%B8%8A%E4%B8%80%E7%82%B9%2CEF%E2%8A%A5AE%2CEF%E5%88%86%E5%88%AB%E4%BA%A4AC%2CCD%E4%BA%8E%E7%82%B9M%2CF%2CBG%E2%8A%A5AC%2C%E5%9E%82%E8%B6%B3%E4%B8%BAC%2CBG%E4%BA%A4AE%E4%BA%8E%E7%82%B9H%EF%BC%8E%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9A%E2%96%B3ABE%E2%88%BD%E2%96%B3ECF%EF%BC%9B%EF%BC%882%EF%BC%89%E6%89%BE%E5%87%BA%E4%B8%8E%E2%96%B3ABH%E7%9B%B8%E4%BC%BC%E7%9A%84%E4%B8%89%E8%A7%92%E5%BD%A2%2C%E5%B9%B6%E8%AF%81%E6%98%8E%EF%BC%9B%EF%BC%883%EF%BC%89%E8%8B%A5E%E6%98%AFBC%E4%B8%AD%E7%82%B9%2CBC%3D2AB%2CAB%3D2%2C%E6%B1%82EM%E7%9A%84%E9%95%BF%EF%BC%8EBG%E2%8A%A5)
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