如图,
,
垂直平分
,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a11029ca6b4b9e7f777af0280cf163c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f213621229843639780aae87fa29584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e702e136211878dce558e0457f15df63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/459459559720ab5e154a80723c47cc30.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/21/be927450-2d2e-48d2-a4b4-76f3e89f299a.png?resizew=128)
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2023-08-10 20:24:10
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【推荐1】如图,边长为5的大正方形
是由四个全等的直角三角形和一个小正方形
组成,连结
并延长交
于点M.若
,则
的长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ae6e2d451ec66319aaafa8e0b6cf52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
A.![]() | B.![]() | C.1 | D.![]() |
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【推荐2】如图,在△ABC中,∠ACB=90º,AC=BC=1,E、F为线段AB上两动点,且∠ECF=45°,过点E、F分别作BC、AC的垂线相交于点M,垂足分别为H、G.现有以下结论:①AB=
;②当点E与点B重合时,MH=
;③AF+BE=EF;④MG•MH=
,其中正确结论为( )
![](https://img.xkw.com/dksih/QBM/2017/12/25/1846098890858496/1851209774972928/STEM/f9b6a4df3b4b4fa08dfb2dfc4677db77.png?resizew=108)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://img.xkw.com/dksih/QBM/2017/12/25/1846098890858496/1851209774972928/STEM/f9b6a4df3b4b4fa08dfb2dfc4677db77.png?resizew=108)
A.①②③ | B.①③④ | C.①②④ | D.①②③④ |
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名校
【推荐1】如图,
中,
,
,
的平分线与
的垂直平分线交于点
,将
沿
在
上,
在
上)折叠,点
与点
恰好重合,则
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b44e29502b61bf016535d8b46de3db02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194741f4d2ae7ee44cafca780361446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88d21b94a157e05b83c677e3a684163c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fc30901a255fc967e88734abfee8147.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/25/761762a9-a056-429f-8daa-25d80f54f9a8.png?resizew=109)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】将一副三角板中的两块直角三角尺的直角顶点C按如图方式叠放在一起(其中,∠A=60°,∠D=30°;∠E=∠B=45°)将三角尺ACD固定,三角尺BCE的CE边与CA边重合,绕点C顺时针方向旋转,当0°<∠ACE<180°且点E在直线AC的上方时,下列结论中:①若∠DCE=35°,∠ACB=145°;②∠ACB+∠DCE=180°;③当三角尺BCE的边与AD平行时∠ACE=30°或120°;④当三角尺BCE的边与AD垂直时∠ACE=30°或75°或120°,正确个数有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/25/cb79b5a3-fb87-40c6-8ea9-dc931c1795f0.png?resizew=152)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/25/cb79b5a3-fb87-40c6-8ea9-dc931c1795f0.png?resizew=152)
A.4个 | B.3个 | C.2个 | D.1个 |
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【推荐1】如图,在
中,
,点
分别是
的边
的中点,边
分别与
相交于点
,且
,连接
,现在下列四个结论;①
,②
平分
,③
,④
,⑤.则其中正确的结论有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fffa3d9c32da53b0ea0c338012ea20c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19409d6d120387b3bccd934c4911bb45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef16aa95adf012414ae56146cc86926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df4b833fb7dd03c34ac40c664cd8483d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dada4b823d9b13e0dd3cb1e029526cd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58c02e8257f03cdd5c04c752fcbd1877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f3bba5bd11e850c9b766c2ba6c426d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/936af8bf3f3ed7a2d40e1211860fc347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a76c2f9928214ae5e277b92988d4d729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aabcca90489fdd49736400b1f7a3e58.png)
A.①②③④ | B.②③④ | C.①②③ | D.①②④ |
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【推荐2】如图,在
中,
,分别以点A,B为圆心,大于
为半径作弧,相交于点M,N,作直线MN交AB于点D,交BC于点E,连结CD,下列结论错误的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882589c896c6993d9687f0e14a283481.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13d71a5e5e491a8c54fccc405b35ed06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a831b8ffe8941e7c054dc22c23b5af2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/6/259eb1de-bef6-460c-9c09-2d2138e5a3aa.png?resizew=109)
A.MN是线段AB的中垂线 | B.![]() |
C.![]() | D.![]() |
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【推荐1】如图,在△ABC中,AB=AC,CD∥AB,点E在BC的延长线上.若∠A=30°,则∠DCE的大小为( )
![](https://img.xkw.com/dksih/QBM/2017/4/19/1668679490961408/1670075940495360/STEM/d81c78a7b91242398d3384a547ab6f55.png?resizew=100)
![](https://img.xkw.com/dksih/QBM/2017/4/19/1668679490961408/1670075940495360/STEM/d81c78a7b91242398d3384a547ab6f55.png?resizew=100)
A.30° | B.52.5° | C.75° | D.85° |
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【推荐2】如图,
中,
,
、
的平分线交于
,
是
延长线上一点,且
.下列结论:
;
;
;其中正确结论的个数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/3/efeafa01-97c8-4080-90a3-3185ff8389c6.png?resizew=157)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bcf905f3910d9238a44ef647835b3d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faf66534b5adb5b9e094af7d6c4139c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/844157fbf475e314df826dc3fcfdfa3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec3d6c1636d6e9f25c941d2e2c7c8158.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/3/efeafa01-97c8-4080-90a3-3185ff8389c6.png?resizew=157)
A.![]() | B.![]() | C.![]() | D.![]() |
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