名校
解题方法
1 . 如图所示空间直角坐标系A﹣xyz中,
是正三棱柱
的底面
内一动点,
,直线PA和底面ABC所成的角为
,则P点的坐标满足( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/12/a5bf2d9d-771a-4b94-b774-551344d08eec.png?resizew=151)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ee1e5dd99c706d66bba49983060c3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b16cff607cdc2d69afc70dc778acbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35909b72f6e48a33ae9abb1d63ff91aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/12/a5bf2d9d-771a-4b94-b774-551344d08eec.png?resizew=151)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
2 . 正方体
中,M是
中点,则异面直线CM与
所成角的余弦值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 在长方体
中,
,则异面直线
与
所成角的余弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b65fa74260e4ec3039f9f0b7a25b70a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a7bcc1efb8a2ff57d64b6d057da463.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-02-12更新
|
74次组卷
|
3卷引用:内蒙古赤峰市松山区赤峰学院附属中学2023-2024学年高二上学期1月期末数学试题
解题方法
4 . 正方体
中,
与平面
所成角的正弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7977ab975efa6411cc17de39be70d9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
5 . 已知过点
且法向量为
的平面
的方程为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/155c4d2cf817f6bc1e3590a1c37690b4.png)
.若平面
的方程为
,直线
是平面
与
的交线,则直线
与平面
所成角的正弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf95be25d34a7366bf4060d081329c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8fda674f8f0be0a9fb282139bb09a62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/155c4d2cf817f6bc1e3590a1c37690b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/771df37a312dac1fb332a31a10340c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1492a7440fd80c7d42cbfe0d8211688.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3aa3adcb154f6144903d456289ecb0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/935ca13da9fbf4571f42e49f67609b31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 在正方体
中,点E为
的中点,则平面
与平面
所成角的余弦值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/7/5acb23af-c467-4dd3-b924-2fc8cf5a72a1.png?resizew=174)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1859959fdb4c5edd8056893f94a10a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c9f260496ba23993238601a89eca5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/7/5acb23af-c467-4dd3-b924-2fc8cf5a72a1.png?resizew=174)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
7 . 在正方体
中,点
满足
,则直线
与平面
所成角的正弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f8ee4b64366ee9b0f655c7426c35535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6e96872af0f0b341835576c407e364.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-02-06更新
|
131次组卷
|
3卷引用:福建省福州市福清市高中联合体2023-2024学年高二上学期期末联考数学试题
福建省福州市福清市高中联合体2023-2024学年高二上学期期末联考数学试题广东省惠州市惠阳区泰雅实验学校2023-2024学年高二下学期4月月考数学试题(已下线)专题02 空间向量与立体几何--高二期末考点大串讲(苏教版2019选择性必修第二册)
名校
解题方法
8 . 已知圆柱的底面半径为1,高为2,
,
分别为上、下底面圆的直径,四面体
的体积为
,则直线
与
所成角的余弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-02-04更新
|
744次组卷
|
4卷引用:江西省2024届高三上学期一轮总复习验收考试数学试题
江西省2024届高三上学期一轮总复习验收考试数学试题江西省上饶市六校2024届高三第一次联合考试(2月)数学试卷(已下线)重难点6-1 空间角与空间距离的求解(8题型+满分技巧+限时检测)(已下线)专题2 用空间向量解决立体几何问题
9 . 如图,正六棱台
,已知
,
,
,则下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/3/4e2d305a-7034-4372-86ad-1c2a90f4fc3b.png?resizew=180)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/858be9a2f30a22cfdebeaa5bf2e45b4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188dfa1c5859c7d1084abe8adc559df6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92535536bd3c2761724fd058427f95a8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/3/4e2d305a-7034-4372-86ad-1c2a90f4fc3b.png?resizew=180)
A.![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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名校
解题方法
10 . 在四棱锥
中,棱长为2的侧棱
垂直底面边长为2的正方形
,
为棱
的中点,过直线
的平面
分别与侧棱
、
相交于点
、
,当
时,截面
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.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/4b30155e0e3cf7c5146d3311e5b8da93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3523cdc82148ce56a0906fbb57163a8.png)
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