在平面直角坐标系中,设
、
,沿y轴把平面直角坐标系折成大小为
的二面角后,
,则
的弧度数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/16/0e5120b7-43ba-413a-bba5-83fffa071aa6.png?resizew=175)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1294434b22cb5133043a2270ae1c43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22340d6f2582502d69a5cb85f446ff43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57dfc9d1109fe41145cc892b5702d9fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/16/0e5120b7-43ba-413a-bba5-83fffa071aa6.png?resizew=175)
A.![]() | B.![]() | C.![]() | D.![]() |
23-24高二上·山西大同·阶段练习 查看更多[2]
更新时间:2023-10-20 08:46:42
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解题方法
【推荐1】如图,菱形ABCD的边长为
,
,将
沿对角线BD折起,使得二面角
的平面角的余弦值是
,则
与平面ABD所成角的正弦值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/fc2263f9-f3dc-4d94-b84f-1a08d9e14eca.png?resizew=175)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ec435aa1401dbce7863b531bf2f3e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07a0861ea8521adfa5f657245377fc92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d15468257071ad6064faed40b8e14476.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/fc2263f9-f3dc-4d94-b84f-1a08d9e14eca.png?resizew=175)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】已知
满足
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f6d733eee6b0fc48a908f71243fda27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e563e032dfdef69b0f357060c27bd4.png)
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【推荐1】如图,已知平行六面体
的各棱长相等,则“
”是“
⊥平面
”的( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/2e534d23-b4d7-41de-b9b5-a2ba11ddd710.png?resizew=146)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94689d2a579ffd226d7327ff7802fa8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabe764f05300ac83c7d16b685d27af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73845d4d663b3de0b281611fe2c762fe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/2e534d23-b4d7-41de-b9b5-a2ba11ddd710.png?resizew=146)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
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【推荐2】在如图所示的正方体
中,
、
、
分别为棱
、
、
的中点,点
在线段
上运动,则下列四个命题:①线段
在平面
上的投影为定值;②三棱锥
的体积为定值;③
平面
;④存在点
,使得
平面
.其中正确命题的个数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/d569e0ea-4f13-4bc6-adab-90ae22e5573f.png?resizew=230)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](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/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6024fd4532f5f981deac4582c799a6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ecac2dad4cffdd971fd23deacff3fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5634a208294350f8ec151cd19b6d3278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adadad9f4c2bb88cd8b96c5f1864a488.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1651b87ec052cefebae47d1e589c5146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3dc70da177ef8c4dd1d8e10380c8a29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed4f366fe05453dcc92e022e657c6027.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/d569e0ea-4f13-4bc6-adab-90ae22e5573f.png?resizew=230)
A.1 | B.2 | C.3 | D.4 |
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【推荐1】若空间中经过定点O的三个平面
,
,
两两垂直,过另一定点A作直线l与这三个平面的夹角都相等,过定点A作平面
和这三个平面所夹的锐二面角都相等.记所作直线l的条数为m,所作平面
的个数为n,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700458c01a7ad031e27d80ed43e9e882.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700458c01a7ad031e27d80ed43e9e882.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
A.4 | B.8 | C.12 | D.16 |
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【推荐2】已知四棱锥
的底面是正方形,侧棱长均相等,E是线段AB上的点(不含端点).设SE与BC所成的角为
,SE与平面ABCD所成的角为β,二面角S-AB-C的平面角为
,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/17b37fb5-d320-438a-9044-ad7d92888263.png?resizew=176)
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![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/17b37fb5-d320-438a-9044-ad7d92888263.png?resizew=176)
A.![]() | B.![]() | C.![]() | D.![]() |
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