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# 折纸与证明 - PowerPoint PPT Presentation

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（1）纸片的重叠部分，即△BDF是何种图形？为什么？

（2）重叠部分展开后，纸片是何种图形？说明你的理由。

（3）剪下的三角形纸片ABF与三角形纸片EDF，它们能完成重合吗？说明理由。

A

A

E

F

B

B

D

C

D

C

(09南京)观察与发现：小明将三角形纸片ABC(AB>AC)沿过点A的直线折叠，使得AC落在AB边上，折痕为AD，展开纸片（如图①）；再次折叠该三角形纸片，使点A和点D重合，折痕为EF，展平纸片后得到△AEF（如图②）；再分别沿DE、DF折叠展平纸片后得四边形AEDF（如图③）。试判断四边形AEDF是什么四边形？并证明你的结论。

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