如图,在△ABC中,AE是中线,AD是角平分线,AF是高,填空:(1)BE=_________=_________(2)∠BAD=__________________(3)∠AFB=_________

题目简介

如图,在△ABC中,AE是中线,AD是角平分线,AF是高,填空:(1)BE=_________=_________(2)∠BAD=__________________(3)∠AFB=_________

题目详情

如图,在△ABC中,AE是中线,AD是角平分线,AF是高,
填空:(1)BE= _________ =_________
(2)∠BAD= _________ _________
(3)∠AFB= _________ =90°

(4)S△ABC=_________S△ABE

题型:解答题难度:中档来源:广东省月考题

答案

解:(1)∵AE是中线,
∴BE=CE= BC,
(2)∵AD是角平分线,
∴∠BAD=∠CAD= ∠BAC,
(3)∵AF是高,
∴∠AFB=∠AFC=90°,
(4)S△ABC=,S△ABE=
∵BC=2BE,
∴S△ABC=2S△ABE,
故答案为CE,BC,∠CAD,∠BAC,∠AFC,2.

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