如图,在Rt△ABC中,AB=AC,∠BAC=90°,∠1=∠2,CE⊥BD的延长于E.求证:BD=2CE.
如图,在Rt△ABC中,AB=AC,∠BAC=90°,∠1=∠2,CE⊥BD的延长于E.求证:BD=2CE.
数学人气:480 ℃时间:2020-01-15 19:58:04
优质解答
证明:延长CE、BA交于F点,如图,∵BE⊥EC,∴∠BEF=∠CEB=90°.∵BD平分∠ABC,∴∠1=∠2,∴∠F=∠BCF,∴BF=BC,∵BE⊥CF,∴CE=12CF,∵△ABC中,AC=AB,∠A=90°,∴∠CBA=45°,∴∠F=(180-45)°÷2=67.5°...
我来回答
类似推荐
猜你喜欢
- 1意思she managed despite everything to preserve her sense of humor
- 2more than 5000 people the important meeting!A.took B.attended C.took part D.joined
- 3(有一定值电阻,电压U变成U/3.电功率变了0.8瓦,问你,当电压为2U时,电功率是多少)
- 4求写一篇给刘谦写一封信的英语作文
- 5甲乙两个车队,甲队有汽车28辆车,乙队有11辆车,两队的车辆经过调配后,乙队车数的2分之3 问题补充还有
- 6如图,在圆O中,半径oa垂直于弦bc,垂足为d,od=4,ad=1,求bc和ab
- 7已知a.b.c.满足a^2+b^2=1;b^2+c^2=2;c^2+a^2=2 求ab+bc+ca的最小值
- 8enjoy doing sth.的例子
- 9甲乙两站的路程为360km,一列快车从乙站开出,每小时行驶72km,一列慢车从甲站开出,每小时行驶48km
- 10Your photo is in that box 一般疑问句