如图,BC‖EF,AC‖DF,AE=DB,求证;BC=EF

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如图,BC‖EF,AC‖DF,AE=DB,求证;BC=EF
如图,BC‖EF,AC‖DF,AE=DB,求证;BC=EF

如图,BC‖EF,AC‖DF,AE=DB,求证;BC=EF
如图,BC‖EF,AC‖DF,AE=DB,求证;BC=EF.

∵BC∥EF,∴∠CBA=∠FEB,
∵AC∥DF,∴∠A=∠D,
∵AE=DB,∴AD+BE=BD+BE,即AB=DE,
∴ΔABC≌ΔDEF,
∴BC=EF.