一副直角三角板如图摆放,其中
与
交于点M.若
,则
的度数为( )
![](https://img.xkw.com/dksih/QBM/2022/4/18/2960674332311552/3040359364141056/STEM/8360e5e094374660aaf4b33c30cb9b62.png?resizew=209)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4407afe3df737b24d31aa9cb501a83a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba46f9fceccff74b15e6dad269412cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4dd47d838804e49cc5bec8db349d1f1.png)
![](https://img.xkw.com/dksih/QBM/2022/4/18/2960674332311552/3040359364141056/STEM/8360e5e094374660aaf4b33c30cb9b62.png?resizew=209)
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2022-08-08 23:29:52
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【推荐1】若将一副三角板按如图所示的方式放置,则下列结论:①
;②如果
,则有
;③如果
,则有
;④如果
,必有
;其中正确的有( )
![](https://img.xkw.com/dksih/QBM/2020/3/4/2412448332210176/2413050332405760/STEM/f81e614a62084c90bceb8a2a90bddb93.png?resizew=170)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e50ce9ef89a466df68124a1dccff5663.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615c891c931323fc44eae27d03cd0bce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e8e59609f1c42d1aff0008ec23f31e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615c891c931323fc44eae27d03cd0bce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5acb763021bf166ca719d07223591d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615c891c931323fc44eae27d03cd0bce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ca775b81195fffe5bcb3ae613e5f3d.png)
![](https://img.xkw.com/dksih/QBM/2020/3/4/2412448332210176/2413050332405760/STEM/f81e614a62084c90bceb8a2a90bddb93.png?resizew=170)
A.①②③ | B.①②④ | C.②③④ | D.①②③④ |
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【推荐2】一副直角三角尺叠放如图1所示,现将45°的三角尺ADE固定不动,将含30°的三角尺ABC绕顶点A顺时针转动,使两块三角尺至少有一组边互相平行.如图2:当∠CAE=60°时,BC∥DE.则∠CAE(0°
∠CAE
180°)其它所有可能符合条件的度数为( )
![](https://img.xkw.com/dksih/QBM/2020/8/18/2530692369506304/2531478921707520/STEM/731aac1b85694de8bbee864dd22331a1.png?resizew=310)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
![](https://img.xkw.com/dksih/QBM/2020/8/18/2530692369506304/2531478921707520/STEM/731aac1b85694de8bbee864dd22331a1.png?resizew=310)
A.75°和105° | B.90 °和135° | C.90°,105°和150° | D.90°,120°和150° |
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【推荐1】如图,在
中,
,点
为
的中点;过点
作
交
的延长线于点
,若
,
,则
的长为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/30/3e700e1f-62a2-4d26-a719-ccd45badbf0f.png?resizew=128)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28971fe3e3f9d3849400e98b46fc3ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ad4c0ba3a6750537789844d0ec419d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6132f92db13bfe98de38b8108a25b9e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/30/3e700e1f-62a2-4d26-a719-ccd45badbf0f.png?resizew=128)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】将一副三角板(厚度不计)如图摆放,使含
角的三角板的斜边与含
角的三角板的一条直角边平行,则
的度数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/4/98d4d2c7-bf5f-4628-861c-685853d9186a.png?resizew=154)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780d8fd6c6c1deeeb45e15f639719e02.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/4/98d4d2c7-bf5f-4628-861c-685853d9186a.png?resizew=154)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】如图,AD是
的角平分线,作AD的垂直平分线EF交BC的延长线于点F,连接AF.下列结论:①
;②
;③
;④
.其中命题一定成立的有( )
![](https://img.xkw.com/dksih/QBM/2022/1/8/2890058148929536/2891989427691520/STEM/1a25fa23-1be7-45c5-aadb-2328d021c1cc.png?resizew=290)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23ec9d8556300a772755fbbeb0a0e0e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6722a29b3d3fc9f0897b2ae24f35916c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fadd750230155d68e24ff3e3732cddda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f2a245381e615882ee5feb7793a1df6.png)
![](https://img.xkw.com/dksih/QBM/2022/1/8/2890058148929536/2891989427691520/STEM/1a25fa23-1be7-45c5-aadb-2328d021c1cc.png?resizew=290)
A.1个 | B.2个 | C.3个 | D.4个 |
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【推荐2】如图,在正方形
中,E为
上一点,连接
,
交对角线
于点F,连接
,若
,则
的度数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74f22d612147f72f1583bcd05fe233e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3f9f8b429cc830b6c9c4ade5d4db25c.png)
A.80° | B.70° | C.75° | D.45° |
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【推荐1】在△ABC中,高BD和CE所在的直线相交于点O,且点O与点B、C不重合,∠A=50°,则∠BOC的度数为( ).
A.50°或130° | B.40°或130° | C.50°或65 | D.40°或65° |
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【推荐2】已知△ABC的三边分别为a、b、c,下列条件中,不能判定△ABC为直角三角形的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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