如图,∠AOE=40°,AB⊥CD,垂足为O,EF经过点O,求∠BOF,∠DOF的度数.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/8/9941a01f-b05f-4b3f-b37e-2aa006afeee8.png?resizew=128)
更新时间:2022-09-07 11:02:54
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【推荐1】如图,将一副三角板的直角顶点叠放在一起.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/30/c88a528b-5cf0-4847-bd05-273b3b538f21.png?resizew=331)
(1)猜想
与
的大小关系,并说明理由;
(2)求
的度数;
(3)若
,求
的度数.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/30/c88a528b-5cf0-4847-bd05-273b3b538f21.png?resizew=331)
(1)猜想
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fed1f57a835af4e9022e27603d12d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9f91270ddbe1cf3c1362e1b95aee14.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd616fdad5d56e9f4d9a12fbba8652dd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c18e009e888b5c6eba21f47b2c5a916.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22df2977de56cc69be0c1e847653d7a.png)
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【推荐2】已知一个角的补角比这个角的余角的
倍少
,求这个角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48cf21017ebe712348fbe500113dbc59.png)
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【推荐1】如图,直线
、
相交于点
,
,垂足为
.
(1)若
,求
的度数;
(2)若
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ffb98f1e3c1317c0db403d3af04bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6761238210c6812333ae0c575892f0c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77f0f488b82e00c86cc72a6063727444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a200334bd3078c27d46e116a53e5cca2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42ae711f798f32a72e0cd167838779c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a200334bd3078c27d46e116a53e5cca2.png)
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【推荐2】如图,AB
DG,
,
,将求
的过程填写完整.
![](https://img.xkw.com/dksih/QBM/2022/10/9/3083996791103488/3089781115912192/STEM/6398b8802c2141818130f24ecd090329.png?resizew=175)
解:∵AB
DG(已知)
∴
( )
又∵
( )
∴
( )
∴EF
AD( )
∴
( )
∵
( )
∴
( )
∴
°.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f623667ca9e6ed42bb03431116992f71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1175687b45da748c52b59e3a9ed4f819.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fdc0e4177a5c4eded94b42a7f62ef02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6039743bd244b857b1215d0bccb06d6b.png)
![](https://img.xkw.com/dksih/QBM/2022/10/9/3083996791103488/3089781115912192/STEM/6398b8802c2141818130f24ecd090329.png?resizew=175)
解:∵AB
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f623667ca9e6ed42bb03431116992f71.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a19ab2985d41cd3a80e003dfb65fcfe.png)
又∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1175687b45da748c52b59e3a9ed4f819.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66983b68a7e99d86b28e7e871032b195.png)
∴EF
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f623667ca9e6ed42bb03431116992f71.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50456c1f6b6f441b087ddbdbc6ed0b2d.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fdc0e4177a5c4eded94b42a7f62ef02.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aa264585f66ada56ca4a54cecb26732.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50456c1f6b6f441b087ddbdbc6ed0b2d.png)
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【推荐1】如图,直线AB、CD相交于点O,且OA平分∠EOC,∠EOC=80°,求∠BOD的度数.
![](https://img.xkw.com/dksih/QBM/2020/10/18/2573735218110464/2579086670610432/STEM/265633e56f3b4a8d804b3fd7dc4bd4a2.png?resizew=156)
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【推荐2】如图,
,
.
![](https://img.xkw.com/dksih/QBM/2022/1/22/2899937433411584/2914660219658240/STEM/89f1fb76-72ed-41fa-bba2-0ec334f3f833.png?resizew=223)
(1)试说明
;
(2)若
,且
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0bd8869f34219e7fbe5a9b8842667c1.png)
![](https://img.xkw.com/dksih/QBM/2022/1/22/2899937433411584/2914660219658240/STEM/89f1fb76-72ed-41fa-bba2-0ec334f3f833.png?resizew=223)
(1)试说明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018ab63439370b2a6fed09871939e02b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa0a0b2510b43e261773a95fde739d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3981e7286d41960daf4e110c1c84e03a.png)
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