如图,利用直尺圆规作∠AOB的角平分线OP.则图中△OCP≌△ODP的理由是
![](https://img.xkw.com/dksih/QBM/2019/8/10/2265891268640768/2267861501698048/STEM/f3f9dd1bae0e434d891eb6f7e17e7930.png?resizew=154)
![](https://img.xkw.com/dksih/QBM/2019/8/10/2265891268640768/2267861501698048/STEM/f3f9dd1bae0e434d891eb6f7e17e7930.png?resizew=154)
A.边边边 |
B.边角边 |
C.角角边 |
D.斜边直角边 |
更新时间:2019-08-13 13:18:56
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【知识点】 用SSS直接证明三角形全等(SSS)解读
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【推荐1】如图,已知
,求作:
,使![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e17ca91bba546080db65d0e4166e50a.png)
作法:(1)以点O为圆心,任意长为半径画弧,分别交OA,OB于点P,Q;
(2)作射线EG,并以点E为圆心,OP长为半径画弧交EG于点D;
(3)以点D为圆心,PQ长为半径画弧交第(2)步中所画弧于点F;
(4)作射线EF,∠DEF即为所求作的角.
根据以上作法,可以判断出
的方法是( )
![](https://img.xkw.com/dksih/QBM/2020/1/9/2373401289498624/2374086370263041/STEM/67017c13-51d5-428a-8690-4691f5bccad3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3b0b11a80e8b107e55534d7fda9f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e17ca91bba546080db65d0e4166e50a.png)
作法:(1)以点O为圆心,任意长为半径画弧,分别交OA,OB于点P,Q;
(2)作射线EG,并以点E为圆心,OP长为半径画弧交EG于点D;
(3)以点D为圆心,PQ长为半径画弧交第(2)步中所画弧于点F;
(4)作射线EF,∠DEF即为所求作的角.
根据以上作法,可以判断出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7b5497bfe5012c816f1a8237463740.png)
![](https://img.xkw.com/dksih/QBM/2020/1/9/2373401289498624/2374086370263041/STEM/67017c13-51d5-428a-8690-4691f5bccad3.png)
A.SAS | B.SSS | C.ASA | D.AAS |
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单选题
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容易
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【推荐2】如图,AB、CD、EF相交于O,且被O点平分,DF=CE,BF=AE,则图中全等三角形的对数共有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/27/2dd76fd1-ad38-4259-8213-181150847980.png?resizew=126)
A.1对 | B.2对 | C.3对 | D.4对 |
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