如图,已知de ∥ab,ef∥ db ,bd平分∠abc.求证ef平分∠ced

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如图,已知de ∥ab,ef∥ db ,bd平分∠abc.求证ef平分∠ced
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如图,已知de ∥ab,ef∥ db ,bd平分∠abc.求证ef平分∠ced
如图,已知de ∥ab,ef∥ db ,bd平分∠abc.求证ef平分∠ced
 

如图,已知de ∥ab,ef∥ db ,bd平分∠abc.求证ef平分∠ced
∵BD平分∠ABC
∴∠1=∠2
∵DE∥AB
∴∠1=∠5
∵EF∥BD
∴∠3=∠5.∠2=∠4
∵∠2=∠5=∠3
∴∠3=∠4
∴EF平分∠CED