在数学活动课上,老师提出这样一个问题:“已知
,同学们只用一块三角板可以画出它的角平分线吗?”聪明的小阳经过思考设计了如下方案(如图):
(1)在角的两边OM、ON上分别取OA=OB;
(2)过点A作DA⊥OM于点A,交ON于点D;过点B作EB⊥ON于点B,交OM于点E,AD、BE交于点C;
(3)作射线OC.
小阳接着解释说:“此时,△OAC≌△OBC,所以射线OC为∠MON的平分线。”小阳的方案中,△OAC≌△OBC的依据是( )
![](https://img.xkw.com/dksih/QBM/2020/1/14/2376793250816000/2377095293485056/STEM/ee96184ade39436cb0f3bcb19248b9a9.png?resizew=195)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27935c1ef4df2d52ac697678a3c8f39d.png)
(1)在角的两边OM、ON上分别取OA=OB;
(2)过点A作DA⊥OM于点A,交ON于点D;过点B作EB⊥ON于点B,交OM于点E,AD、BE交于点C;
(3)作射线OC.
小阳接着解释说:“此时,△OAC≌△OBC,所以射线OC为∠MON的平分线。”小阳的方案中,△OAC≌△OBC的依据是( )
![](https://img.xkw.com/dksih/QBM/2020/1/14/2376793250816000/2377095293485056/STEM/ee96184ade39436cb0f3bcb19248b9a9.png?resizew=195)
A.SAS | B.ASA | C.HL | D.AAS |
更新时间:2020-01-14 21:15:39
|
【知识点】 全等的性质和HL综合(HL)
相似题推荐
单选题
|
较易
(0.85)
【推荐1】如图,在△ABC中,∠C=90°,AC=BC,AD是∠CAB的平分线,DE⊥AB于E,已知AB=10,则△DEB的周长等于( )
![](https://img.xkw.com/dksih/QBM/2020/10/14/2571037600440320/2571766030802944/STEM/bb8331125c874ba5a2ba9fba6b68ebe6.png?resizew=154)
![](https://img.xkw.com/dksih/QBM/2020/10/14/2571037600440320/2571766030802944/STEM/bb8331125c874ba5a2ba9fba6b68ebe6.png?resizew=154)
A.8 | B.9 | C.10 | D.11 |
您最近一年使用:0次
单选题
|
较易
(0.85)
【推荐2】如图,在
中,
,AD平分
交BC于D,
于点E,且
,则
的周长为( )
![](https://img.xkw.com/dksih/QBM/2022/10/20/3091816952791040/3096015817711616/STEM/bf7a182e7be04dfe8efa6b3b8221e95a.png?resizew=130)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7c2a1e84e17f9a5917cb64f1514e045.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21b28f28ced0531d1df34fcf04c6c67f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c38dfd14dde969702dff97ef2270f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/321370fe42bc1216902ea19fbd2a5979.png)
![](https://img.xkw.com/dksih/QBM/2022/10/20/3091816952791040/3096015817711616/STEM/bf7a182e7be04dfe8efa6b3b8221e95a.png?resizew=130)
A.6 | B.8 | C.10 | D.12 |
您最近一年使用:0次