如图,在六边形ABCDEF中,AB=DE,CD=AF,BF=CE且AF//CD求证BC=EF再求证BC//EF
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![如图,在六边形ABCDEF中,AB=DE,CD=AF,BF=CE且AF//CD求证BC=EF再求证BC//EF](/uploads/image/z/6086721-57-1.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E5%85%AD%E8%BE%B9%E5%BD%A2ABCDEF%E4%B8%AD%2CAB%3DDE%2CCD%3DAF%2CBF%3DCE%E4%B8%94AF%2F%2FCD%E6%B1%82%E8%AF%81BC%3DEF%E5%86%8D%E6%B1%82%E8%AF%81BC%2F%2FEF)
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如图,在六边形ABCDEF中,AB=DE,CD=AF,BF=CE且AF//CD求证BC=EF再求证BC//EF
如图,在六边形ABCDEF中,AB=DE,CD=AF,BF=CE且AF//CD求证BC=EF
再求证BC//EF
如图,在六边形ABCDEF中,AB=DE,CD=AF,BF=CE且AF//CD求证BC=EF再求证BC//EF
由题知:ABF≌CDE,
所以∠AFB=∠DCE
又AF//CD,所以BF//CE,
所以BCEF是平行四边形,
所以BC=EF