如图所示,在△ABC中AC=BC,D是AB的中点,DE⊥AC,DF⊥BC,E.F是垂足,FG⊥AC,EH⊥BC,GH是垂足,EH.FG交于I,求证为DEUF菱形在矩形ABCD中,AB=4cmBC=8cm,将图形折叠,使点C与A重合,折痕为EF.1.判断AECF的形状,并说明理由.
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![如图所示,在△ABC中AC=BC,D是AB的中点,DE⊥AC,DF⊥BC,E.F是垂足,FG⊥AC,EH⊥BC,GH是垂足,EH.FG交于I,求证为DEUF菱形在矩形ABCD中,AB=4cmBC=8cm,将图形折叠,使点C与A重合,折痕为EF.1.判断AECF的形状,并说明理由.](/uploads/image/z/1132712-8-2.jpg?t=%E5%A6%82%E5%9B%BE%E6%89%80%E7%A4%BA%2C%E5%9C%A8%E2%96%B3ABC%E4%B8%ADAC%3DBC%2CD%E6%98%AFAB%E7%9A%84%E4%B8%AD%E7%82%B9%2CDE%E2%8A%A5AC%2CDF%E2%8A%A5BC%2CE.F%E6%98%AF%E5%9E%82%E8%B6%B3%2CFG%E2%8A%A5AC%2CEH%E2%8A%A5BC%2CGH%E6%98%AF%E5%9E%82%E8%B6%B3%2CEH.FG%E4%BA%A4%E4%BA%8EI%2C%E6%B1%82%E8%AF%81%E4%B8%BADEUF%E8%8F%B1%E5%BD%A2%E5%9C%A8%E7%9F%A9%E5%BD%A2ABCD%E4%B8%AD%2CAB%3D4cmBC%3D8cm%2C%E5%B0%86%E5%9B%BE%E5%BD%A2%E6%8A%98%E5%8F%A0%2C%E4%BD%BF%E7%82%B9C%E4%B8%8EA%E9%87%8D%E5%90%88%2C%E6%8A%98%E7%97%95%E4%B8%BAEF.1.%E5%88%A4%E6%96%ADAECF%E7%9A%84%E5%BD%A2%E7%8A%B6%2C%E5%B9%B6%E8%AF%B4%E6%98%8E%E7%90%86%E7%94%B1.)
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