如图,在△ABC中,AE是中线,AD是角平分线,AF是高,填空: (1)BE=_=1/2_ (2)∠BAD=_1/2_ (3)∠AFB=_=90° (4)S△ABC=_S△ABE.
问题描述:
如图,在△ABC中,AE是中线,AD是角平分线,AF是高,填空:
(1)BE=______=
______1 2
(2)∠BAD=______
______1 2
(3)∠AFB=______=90°
(4)S△ABC=______S△ABE.
答
(1)∵AE是中线,∴BE=CE=12BC,(2)∵AD是角平分线,∴∠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,故答案为CE,BC,∠CAD,∠...