如图,点
,
在
上,且点
,
,
不在同一条直线上,点
是
上一个动点(点
不与点
,
重合),在点
运动的过程中,有如下四个结论:①恰好存在一点
,使得
;②若直线
垂直于
,则
;③
的大小始终不变.上述结论中,所有正确结论的序号是( )
![](https://img.xkw.com/dksih/QBM/2024/3/12/3451989703426048/3452587998961664/STEM/f90008ded9204d77977b07ebdb05f4ae.png?resizew=117)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860c4c9419ebfa927b3f3ea14e4f4784.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2932307706eaaceb5f60a6f8fc67968c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb686e4f5e3938575bc547e849d5513f.png)
![](https://img.xkw.com/dksih/QBM/2024/3/12/3451989703426048/3452587998961664/STEM/f90008ded9204d77977b07ebdb05f4ae.png?resizew=117)
A.①② | B.①③ | C.②③ | D.①②③ |
更新时间:2024-03-13 17:38:20
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【推荐1】下列说法正确的有( )
①平分弦的直径垂直于弦.②半圆所对的圆周角是直角.③一条弧所对的圆周角等于它所对的圆心角的一半.④在同圆或等圆中,如果两条弦相等,那么他们所对的圆周角相等.⑤圆内接平行四边形是矩形.
①平分弦的直径垂直于弦.②半圆所对的圆周角是直角.③一条弧所对的圆周角等于它所对的圆心角的一半.④在同圆或等圆中,如果两条弦相等,那么他们所对的圆周角相等.⑤圆内接平行四边形是矩形.
A.1个 | B.2个 | C.3个 | D.4个 |
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【推荐2】下列结论正确的是( )
A.所有直角三角形都相似 |
B.平分弦的直径垂直弦且平分弦所对的弧 |
C.同弧所对的圆周角相等 |
D.当![]() ![]() |
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【推荐1】如图,在⊙O中,点
是
的中点,点
在
上,连接
、
、
、
.若
,则
的大小为( )
![](https://img.xkw.com/dksih/QBM/2020/12/10/2611042510823424/2614779658240000/STEM/87f94c8f-be48-40ba-b5a1-a3d979880913.png?resizew=204)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667349d99185bb045030b733352ff7fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb882b525043fb4602f598a9dfe5fbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be616944953f6020d8b7e41741d8e14a.png)
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![](https://img.xkw.com/dksih/QBM/2020/12/10/2611042510823424/2614779658240000/STEM/87f94c8f-be48-40ba-b5a1-a3d979880913.png?resizew=204)
A.50° | B.350° | C.25° | D.150° |
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名校
【推荐2】如图,A,B,C是⊙O上的三个点,∠ABC=45°,连接AO,过点O作OE⊥BC交BC于点D,交⊙O于点E.若点D是OE的中点,则∠AOE的度数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/29/5976079f-28b3-4d7e-ac72-8347e4afb4fe.png?resizew=180)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/29/5976079f-28b3-4d7e-ac72-8347e4afb4fe.png?resizew=180)
A.120° | B.135° | C.140° | D.150° |
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真题
【推荐1】如图,AB,AC分别是⊙O的直径和弦,
于点D,连接BD,BC,且
,
,则BD的长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a11c1db76cc7e1894f74a50d71736455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4494a85de0be0b97a69348115aef8513.png)
A.![]() | B.4 | C.![]() | D.4.8 |
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【推荐2】如图,平行四边形
的顶点
、
、
在⊙
上,顶点
在⊙
的直径
上,连接
,
,则
的度数是( ).
![](https://img.xkw.com/dksih/QBM/2018/3/13/1901099853799424/1905493125529600/STEM/02f3cc68027a4fcda0c8ccc50ba5edbd.png?resizew=173)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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A.![]() | B.![]() | C.![]() | D.![]() |
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