如圖,在△ABC中,AE是中線,AD是角平分線,AF是高,填空:(1)BE=______=12______(2)∠BAD=______12______(3)∠AFB=______=90°(4)S△ABC=______S△ABE.

如圖,在△ABC中,AE是中線,AD是角平分線,AF是高,填空:(1)BE=______=12______(2)∠BAD=______12______(3)∠AFB=______=90°(4)S△ABC=______S△ABE.

(1)∵AE是中線,∴BE=CE=12BC,(2)∵AD是角平分線,∴∠BAD=∠CAD=12∠BAC,(3)∵AF是高,∴∠AFB=∠AFC=90°,(4)S△ABC=BC•AF2,S△ABE=BE•AF2,∵BC=2BE,∴S△ABC=2S△ABE,故答案為CE,BC,∠CAD,∠…