名校
1 . 满足等式
的解为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d3ade1d196a4964f5d6a27a48ce23a.png)
您最近一年使用:0次
2024-04-24更新
|
148次组卷
|
2卷引用:上海市华东师范大学第二附属中学2023-2024学年高一下学期期中考试数学试题
2 . 如图,在三棱锥
中,
平面
,
分别是棱
的中点,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/e10c23d2-345c-49fa-9fe5-3d7fe46dda3f.png?resizew=177)
(1)求证:
平面
;
(2)求直线
与平面
所成角的大小.
![](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/a9177a42f9ab232822de2b889a572932.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/374fe9986ebbc986fc422e514ab93a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3ae21f596c15f524719d68b617b48c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/e10c23d2-345c-49fa-9fe5-3d7fe46dda3f.png?resizew=177)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063510e3c1fb6a7ccc3b8e3e3c7d660e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
您最近一年使用:0次
3 . 已知两点
、
,则过点
、
的直线的倾斜角为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f64ce0cb15573f0e700e4891333b1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69860b1897ea9cba40cb72a63def3673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
您最近一年使用:0次
名校
4 . 如图,在四棱锥
中,底面
为正方形,
平面
,M为PC中点.
平面
;
(2)若
,求直线
与平面
所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/373f735f0f04d11f1951eaef1bb78b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af29254fe60a392c249c5791279e9c8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96127e45e2dd2494fccb1c0905951f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2023-11-16更新
|
799次组卷
|
3卷引用:上海市延安中学2023-2024学年高二上学期期中数学试题
名校
解题方法
5 . 如图,在正三棱柱
中,
,
分别是
和
的中点,则直线
与
所成的角__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1baa3d0db9ad31d33c2883a6efed1dc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/10/12d9f4f4-7bac-40b7-a098-a7fd43385df6.png?resizew=149)
您最近一年使用:0次
6 . 已知向量
,向量
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ead6bd699406b768d13b58ea738c2bb.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8b43696c9a728da4724975840b12cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d41dfcc3f362774214ff761f0a421e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ead6bd699406b768d13b58ea738c2bb.png)
您最近一年使用:0次
7 . 设
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/388d3d213a231cccf854a29eef611d01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2dc650b6a57a9fa9d56c9e292906b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d0ebb77cc0f9b95d07111ec88a545f.png)
A.充分非必要条件 | B.必要非充分条件 |
C.充要条件 | D.既非充分也非必要条件 |
您最近一年使用:0次
名校
8 . 设
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc94a747cc0095f3fdad52b47612f7ee.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
9 . 若
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56b7444a1f99235a859826a035979442.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
10 . 已知
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb78931653279a0ff82fde55343a8a15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ffa28c7f519c1c85c0a3cad23b2e6cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
您最近一年使用:0次