如图,
,以点
为圆心,小于
的长为半径作圆弧,分别交
,
于
,
两点,再分别以
,
为圆心,以大于
长为半径作圆弧两条弧交于点
,作射线
交
于点
,若
,则
( )
![](https://img.xkw.com/dksih/QBM/2020/10/21/2575847163789312/2576330636320768/STEM/a1f9fb194d314418ba161144c4b28a85.png?resizew=192)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd8e727e4efc22b49649f71ae9c9d84.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52d092504d3c33c48be43f23b788efd9.png)
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![](https://img.xkw.com/dksih/QBM/2020/10/21/2575847163789312/2576330636320768/STEM/a1f9fb194d314418ba161144c4b28a85.png?resizew=192)
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2020-10-22 09:01:00
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名校
【推荐1】如图,AB//CD,∠1+∠2=110°,则∠GEF+∠GFE的度数为( )
![](https://img.xkw.com/dksih/QBM/2021/6/1/2733785114976256/2737221974777856/STEM/c073c9c9-7d6e-45d8-a474-69023d0265a9.png)
![](https://img.xkw.com/dksih/QBM/2021/6/1/2733785114976256/2737221974777856/STEM/c073c9c9-7d6e-45d8-a474-69023d0265a9.png)
A.110° | B.70° | C.80° | D.90° |
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【推荐2】下列命题正确的是( )
A.三条直线两两相交有三个交点 |
B.在平面内,过一点有且只有一条直线与已知直线平行 |
C.同旁内角互补 |
D.直线外一点与直线上所有点的连线段中,垂线段最短 |
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【推荐1】如图,在平行四边形
中,以点
为圆心,
长为半径画弧交
于点
,再分别以点
、
为圆心,大于
的相同长为半径画弧,两弧交于点
,连接
并延长交
于点
,连接
.根据以上尺规作图的过程,小明得到下列结论:①
平分
②
是等边三角形 ③
④
,其中,结论正确的有( )个
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40fe477aea662f3ae9b6d28f1e785147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4189a0821a0ffab9dc171ecd279ba442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5e0e70ca3bfe38b2ec7d710430388d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d9f10d4ebbc23dacfde5ac5854eed5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3d2d3643a9579f2c693ef86909441e2.png)
A.1 | B.2 | C.3 | D.4 |
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【推荐2】如图,平行四边形
中,
,
.以点
为圆心,适当长为半径面弧,交
于点
,交
于点
,再分别以点
、
为圆心,大于
的长为半径面弧,两弧相交于点
,射线
交
的延长线于点
,则
的长是( )
![](https://img.xkw.com/dksih/QBM/2020/6/13/2483993738338304/2491478751862784/STEM/2de0a3cb775b471ba2d58988034cfd94.png?resizew=146)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7788830ed1cb3b9c5988f70f43595f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
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![](https://img.xkw.com/dksih/QBM/2020/6/13/2483993738338304/2491478751862784/STEM/2de0a3cb775b471ba2d58988034cfd94.png?resizew=146)
A.![]() | B.![]() | C.1 | D.2 |
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【推荐3】数学课上,探究角的平分线的作法时,小宇用直尺和圆规作∠AOB的平分线,方法如下:
如图,(1)以点O为圆心,适当长为半径画弧,交OA 于点M,交OB 于点N;
(2)分别以点M,N为圆心,大于
MN 的长为半径画弧,两弧在∠AOB的内部相交于点C;
(3)画射线OC.射线OC即为所求. 其中的道理是,作出△OMC≌△ONC,根据全等三角形的性质,得到∠AOC=∠BOC,进而得到OC是∠AOB的平分线. 其中,△OMC≌△ONC的依据是( )
![](https://img.xkw.com/dksih/QBM/2021/3/5/2671411469557760/2674392331288576/STEM/b0254350fa3d498297a93743cbc24ad9.png?resizew=133)
如图,(1)以点O为圆心,适当长为半径画弧,交OA 于点M,交OB 于点N;
(2)分别以点M,N为圆心,大于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(3)画射线OC.射线OC即为所求. 其中的道理是,作出△OMC≌△ONC,根据全等三角形的性质,得到∠AOC=∠BOC,进而得到OC是∠AOB的平分线. 其中,△OMC≌△ONC的依据是( )
![](https://img.xkw.com/dksih/QBM/2021/3/5/2671411469557760/2674392331288576/STEM/b0254350fa3d498297a93743cbc24ad9.png?resizew=133)
A.SSS |
B.SAS |
C.ASA |
D.AAS |
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