如图,点O在直线AB上,OF平分∠BOC,OE平分∠AOC,CF⊥OF于点F.求证：FC//OE.

如图,点O在直线AB上,OF平分∠BOC,OE平分∠AOC,CF⊥OF于点F.求证：FC//OE.
如图,点O在直线AB上,OF平分∠BOC,OE平分∠AOC,CF⊥OF于点F.
求证：FC//OE.

如图,点O在直线AB上,OF平分∠BOC,OE平分∠AOC,CF⊥OF于点F.求证：FC//OE.
∵点O在直线AB上
∴∠AOB=180°
∵OF平分∠BOC,OE平分∠AOC
∴∠COF=½∠BOC,∠COE=½∠AOC
∴∠EOF=½×180°=90°
即OE⊥OF
∵CF⊥OF
∴CF∥EO