名校
解题方法
1 . 已知在三棱锥
中,
,则直线
与平面
所成的角的正弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4278c0911e7df78965e78cff69cac5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db12193579ff89e776e2d71567868e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb802b0cd77d772dceff0d9ff6c879ac.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 如图,在三棱柱
中,所有的棱长都相等,侧棱
底面ABC,则直线
与平面
所成角的正弦值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/28/fa1d1e48-0fb8-47ca-a2d9-40c99dd89259.png?resizew=142)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5845ccc0d735dc14c92a8926d9b1def6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/28/fa1d1e48-0fb8-47ca-a2d9-40c99dd89259.png?resizew=142)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
3 . 如图,在四棱锥
中,
平面
,底面
是菱形,
平面
;
(2)求证:直线
平面
;
(3)求直线
与平面
所成角的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2896bea93b15a5f88880c46927e99471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307807ee10071bafbe922eb18d2517d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(2)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5928c98b341b16d4b5a5b931d2929d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(3)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
您最近一年使用:0次
2023-02-22更新
|
1467次组卷
|
6卷引用:河北专版 学业水平测试 专题九 立体几何初步
名校
解题方法
4 . 已知某圆锥的母线长为2,记其侧面积为S,体积为V,则当
取得最大值时,母线与底面所成角的正弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba9638ee1a002ea8ba393eefd876c57.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-10-01更新
|
1220次组卷
|
5卷引用:河北省示范性高中2023届高三上学期第一次调研数学试题
名校
5 . 如图,在直三棱柱
中,
,
,
,
分别是
,
的中点,则直线
与平面
所成角的正弦值为( )
![](https://img.xkw.com/dksih/QBM/2022/4/22/2963505737809920/2966409706733568/STEM/a324c5c1-d827-408b-8a8a-3b4dfa934657.png?resizew=162)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40bffa825c5e2c744723b0c9ccbdfda0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ea52361458ce2e49ed0fe99d8e6c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923189afc198d153c79059a827f63c87.png)
![](https://img.xkw.com/dksih/QBM/2022/4/22/2963505737809920/2966409706733568/STEM/a324c5c1-d827-408b-8a8a-3b4dfa934657.png?resizew=162)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-04-26更新
|
1638次组卷
|
4卷引用:河北省秦皇岛市2022届高三二模数学试题
河北省秦皇岛市2022届高三二模数学试题(已下线)考点17 点、直线、平面之间的位置关系-2-(核心考点讲与练)-2023年高考数学一轮复习核心考点讲与练(新高考专用)福建省连城县第一中学2021-2022学年高一下学期月考(二)数学试题(已下线)微专题15 轻松搞定线面角问题
解题方法
6 . 在三棱锥
中,
底面ABC,
,
,
,则PB与平面PAC所成角的正切值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc532cfe64300cb3da9e04a307c957a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1baa1c07becd03537beeb09a31745cf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4fc2d383876afe5be1103352571805b.png)
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2022-01-24更新
|
613次组卷
|
3卷引用:河北省廊坊市省级示范性高中联合体2022届高三下学期第一次联考数学试题
名校
解题方法
7 . 已知一四棱锥的三视图如图所示,则该四棱锥的较长侧棱与底面所成角的正切值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/374d5af5-7ed1-4a56-b198-5f386b77516b.png?resizew=193)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/374d5af5-7ed1-4a56-b198-5f386b77516b.png?resizew=193)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-03-22更新
|
325次组卷
|
2卷引用:河北省衡水中学2021届全国高三下学期第二次联合考试(II卷)数学(理)试题
解题方法
8 . 在正四面体S-ABC中,点O为三角形SBC的垂心,则直线AO与平面SAC所成的角的余弦值为( )
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
9 . 在三棱柱
,底面
为等边三角形,侧面
是菱形,且
,侧面
底面
,点
是
的中点,则直线
与平面
所成的角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac61c24f99a4e466f1e2ea011893866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93ecf0d955692e3ddacbda6035c70a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0671b4776e142e17a79af5b3f0378ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.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/10d8eb4a9f462ca0c1d49c3fe91e720d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
10 . 如图所示,在四棱锥
中,
是边长为2的正三角形,点
为正方形
的中心,
为线段
的中点,
则下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/17/dd785b6b-af8b-4cd6-93a1-d8129980f5dd.png?resizew=217)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c753cb1eb73fd8d136d00462970797.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d631f45bc652539853f236952afa5bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.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/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4999d4fbcbe15f78c29d518f25d317c2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/17/dd785b6b-af8b-4cd6-93a1-d8129980f5dd.png?resizew=217)
A.直线![]() ![]() |
B.线段![]() ![]() |
C.直线![]() ![]() |
D.直线![]() ![]() ![]() |
您最近一年使用:0次
2020-11-27更新
|
969次组卷
|
6卷引用:河北省唐山市第一中学2022-2023学年高三上学期期中考试数学试题