如图,已知AB∥CD,CE,AE分别平分∠ACD,∠CAB,则∠1+∠2的度数为( )
![](https://img.xkw.com/dksih/QBM/2020/7/22/2511568084025344/2512676810588160/STEM/ae3605afe34d47cab4b6a18ad68ada11.png?resizew=114)
![](https://img.xkw.com/dksih/QBM/2020/7/22/2511568084025344/2512676810588160/STEM/ae3605afe34d47cab4b6a18ad68ada11.png?resizew=114)
A.90° | B.180° | C.120° | D.150° |
更新时间:2020-07-24 10:36:58
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【推荐1】如图,已知AB//CD,CE、AE分别平分
、
,则
= ( )
![](https://img.xkw.com/dksih/QBM/2012/10/10/1573530423918592/1573530473160704/STEM/e5b93e88a23548d9b85f930fac1d1672.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64cbb1805d38d6c80fa1e48c76fbb5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4bb8aa576875735f1c3b9d551b779b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a58ad279c3c802e4ad8f923fb152c8f.png)
![](https://img.xkw.com/dksih/QBM/2012/10/10/1573530423918592/1573530473160704/STEM/e5b93e88a23548d9b85f930fac1d1672.png)
A.450 | B.900 | C.600 | D.750 |
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【推荐2】如图,∠DAC+∠ACB=180°,EF//BC,CE平分∠BCF,∠DAC=3∠BCF,∠ACF=20°,则∠FEC的度数是( )
![](https://img.xkw.com/dksih/QBM/2020/4/20/2445802470825984/2446391639670785/STEM/0c2a3652-d972-4cdf-bf00-3b415558ece6.png)
![](https://img.xkw.com/dksih/QBM/2020/4/20/2445802470825984/2446391639670785/STEM/0c2a3652-d972-4cdf-bf00-3b415558ece6.png)
A.10° | B.20° | C.15° | D.30° |
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【推荐1】光线在不同介质中传播时会发生折射,如图,在水中发射的两条平行光线,在空气中发生折射.若水面和杯底是互相平行的,且
,
,则根据以下理由:
①两直线平行,同位角相等;
②同位角相等,两直线平行;
③两直线平行,同旁内角相等;
④同旁内角互补,两直线平行.
能得到结论:
(Ⅰ)在空气中两条光线也是平行的;
(Ⅱ)
;
(Ⅲ)
.
其中结论与理由都正确并且配对相符的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/27/3dc609b8-0e93-4e76-8313-7ee874da7d7b.png?resizew=135)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09fa57c0ae124db35a5e1077d2c3e4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8892182595abb470943ea5d90aedafc2.png)
①两直线平行,同位角相等;
②同位角相等,两直线平行;
③两直线平行,同旁内角相等;
④同旁内角互补,两直线平行.
能得到结论:
(Ⅰ)在空气中两条光线也是平行的;
(Ⅱ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18189f8ecce169d8d23e37f5aed0bb21.png)
(Ⅲ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f91bc5cddbf843f46e9c406e62037eee.png)
其中结论与理由都正确并且配对相符的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/27/3dc609b8-0e93-4e76-8313-7ee874da7d7b.png?resizew=135)
A.Ⅰ-② | B.Ⅱ-① | C.Ⅲ-③ | D.Ⅲ-④ |
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【推荐2】如图,如果∠1+∠2=180°,那么()
![](https://img.xkw.com/dksih/QBM/2017/10/29/1805864310874112/1806632657199105/STEM/66fe2f4797b94cdc8f7ddb327fe8d8ad.png?resizew=148)
![](https://img.xkw.com/dksih/QBM/2017/10/29/1805864310874112/1806632657199105/STEM/66fe2f4797b94cdc8f7ddb327fe8d8ad.png?resizew=148)
A.∠2+∠4=180° | B.∠3+∠4=180° | C.∠1+∠3=180° | D.∠1=∠4 |
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