在△ABC中,M、N为△ABC的边上的两点,且满足BM=MN=NC,平行于边AC的直线交AB于D交AM于E,交AN的延长线于F.(1)如图1,若直线DEF恰好经过M点,写出图中所有与3DE相等的线段,并选取一条给出证明.(2)如
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![在△ABC中,M、N为△ABC的边上的两点,且满足BM=MN=NC,平行于边AC的直线交AB于D交AM于E,交AN的延长线于F.(1)如图1,若直线DEF恰好经过M点,写出图中所有与3DE相等的线段,并选取一条给出证明.(2)如](/uploads/image/z/3529534-22-4.jpg?t=%E5%9C%A8%E2%96%B3ABC%E4%B8%AD%2CM%E3%80%81N%E4%B8%BA%E2%96%B3ABC%E7%9A%84%E8%BE%B9%E4%B8%8A%E7%9A%84%E4%B8%A4%E7%82%B9%2C%E4%B8%94%E6%BB%A1%E8%B6%B3BM%3DMN%3DNC%2C%E5%B9%B3%E8%A1%8C%E4%BA%8E%E8%BE%B9AC%E7%9A%84%E7%9B%B4%E7%BA%BF%E4%BA%A4AB%E4%BA%8ED%E4%BA%A4AM%E4%BA%8EE%2C%E4%BA%A4AN%E7%9A%84%E5%BB%B6%E9%95%BF%E7%BA%BF%E4%BA%8EF.%EF%BC%881%EF%BC%89%E5%A6%82%E5%9B%BE1%2C%E8%8B%A5%E7%9B%B4%E7%BA%BFDEF%E6%81%B0%E5%A5%BD%E7%BB%8F%E8%BF%87M%E7%82%B9%2C%E5%86%99%E5%87%BA%E5%9B%BE%E4%B8%AD%E6%89%80%E6%9C%89%E4%B8%8E3DE%E7%9B%B8%E7%AD%89%E7%9A%84%E7%BA%BF%E6%AE%B5%2C%E5%B9%B6%E9%80%89%E5%8F%96%E4%B8%80%E6%9D%A1%E7%BB%99%E5%87%BA%E8%AF%81%E6%98%8E.%EF%BC%882%EF%BC%89%E5%A6%82)
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