AB=DC.AE=DF.CE=BF.求证:AF=DE.
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AB=DC.AE=DF.CE=BF.求证:AF=DE.
AB=DC.AE=DF.CE=BF.求证:AF=DE.
AB=DC.AE=DF.CE=BF.求证:AF=DE.
证明:
∵CE=FB,
∴CE+EF=FB+EF,
即CF=BE,
在△ABE和△DCF中,
∵AB=CDAE=DFCF=BE,
∴△ABE≌△DCF(SSS),
∴∠B=∠C,
在△ABF和△DCE中
AB=CD∠B=∠CCE=FB,
∴△ABF≌△DCE(SAS),
∴AF=DE.
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