名校
1 . 已知,
是两个不同的平面,m,n是两条不同的直线,则下列说法正确的是( )
A.若![]() ![]() ![]() ![]() | B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() | D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-11-16更新
|
1599次组卷
|
5卷引用:湖北省鄂东南省级示范高中教育教学改革联盟学校2023-2024学年高二上学期期中联考数学试题
2 . 如图,在四棱锥
中,底面
为直角梯形,
,
,侧面
面
,
,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/efb63b0a-aa51-4791-97b1-69a92a212a6e.png?resizew=165)
(1)求证:面
面
;
(2)若二面角
的大小为
,求
与面
所成角的正弦值;
(3)若平面
与平面
所成的锐二面角大小为
,求四棱锥
的体积.
![](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/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b72c6d2ae4924f930c437542b3356a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/efb63b0a-aa51-4791-97b1-69a92a212a6e.png?resizew=165)
(1)求证:面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a3fd5284e160896f07ce367645fd04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c911b404bbb8f8d5f1470585fa31ad97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(3)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
您最近一年使用:0次
2023-11-16更新
|
983次组卷
|
2卷引用:湖北省鄂东南省级示范高中教育教学改革联盟学校2023-2024学年高二上学期期中联考数学试题
名校
解题方法
3 . 如图,在四边形ABCD中,
,设
,
,则
等于( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/10/560ff285-e256-4a90-a623-aa72ad810da1.png?resizew=188)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64d6fa1ecf6d704e782248a99166378a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1432170d7eb208f775becf1e2542036b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89d78d3bc145fc56a6498d4a82b240fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa8c53645db602c72b00b599c2c0ff97.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/10/560ff285-e256-4a90-a623-aa72ad810da1.png?resizew=188)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-11-16更新
|
3559次组卷
|
9卷引用:湖北省鄂东南省级示范高中教育教学改革联盟学校2023-2024学年高二上学期期中联考数学试题
湖北省鄂东南省级示范高中教育教学改革联盟学校2023-2024学年高二上学期期中联考数学试题湖北省鄂州市第二中学2023-2024学年高二上学期期中数学试题(已下线)专题1.2 向量的加减、数乘运算-重难点突破及混淆易错规避(人教A版2019必修第二册)(已下线)9.2 向量运算1-【帮课堂】(苏教版2019必修第二册)(已下线)第04讲 6.2.3向量的数乘运算(1)-【帮课堂】(人教A版2019必修第二册)(已下线)6.2.3 向量的数乘运算(分层作业)-【上好课】第17讲 第六章 平面向量及其应用 章节验收测评卷-【帮课堂】2023-2024学年高一数学同步学与练(人教A版2019必修第二册)(已下线)黄金卷06(已下线)6.2.3 向量的数乘运算——课堂例题
4 . 我国古代数学名著《九章算术》对立体几何有深入的研究,从其中的一些数学用语可见,譬如将有三条棱互相平行且有一个面为平行四边形的五面体称为刍甍,今有一刍甍,底面
为矩形,
面
,记该刍甍的体积为
,三棱锥
的体积为
,
,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9d682e5d3cc8573574d8d11636758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4764374bd2fb78e59cd0b283637baeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52753d89bf58589e2e83b19bd3d140b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63055a5d6916f99d07fede49120753f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d42e97eee705d164e6ac6de9ecd6d1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60bf0c3638693e5ad144c29d93132d54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aa255710ff52bf677c42e26ce9917f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32b9afe6e2307c6a8b0097a6c45b227c.png)
A.1 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-11-16更新
|
947次组卷
|
6卷引用:湖北省鄂东南省级示范高中教育教学改革联盟学校2023-2024学年高二上学期期中联考数学试题
5 . 如图,在平面直角坐标系中,
为直线
上一动点,圆
与
轴的交点分别为
点,圆
与
轴的交点分别为
点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/16/45026cdb-fe49-42a1-a3ef-f27080018e41.png?resizew=140)
(1)若
为等腰三角形,求P点坐标;
(2)若直线
分别交圆
于
两点.
①求证:直线
过定点,并求出定点坐标;
②求四边形
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de72a5190834f5dbe895596656c038b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79382ba44ba669b5d43fdd5427adf16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe7fd9b0c3c203a053a7ea52b71e7c9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/16/45026cdb-fe49-42a1-a3ef-f27080018e41.png?resizew=140)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06d8b52e3af66655cf61ed2683bf4098.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cee81e14bee7bf95ed1281613609d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
①求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
②求四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37f7987952c67ec6baf51bfdca434180.png)
您最近一年使用:0次
2023-11-16更新
|
891次组卷
|
4卷引用:湖北省鄂东南省级示范高中教育教学改革联盟学校2023-2024学年高二上学期期中联考数学试题
名校
6 . 若圆
与圆
恰有一条公切线,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/878e8377cf86d39837e3acc64185402d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1fc44d0e9a1994534000d9b8395d9e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea3db673c03e01726ecdad3e70ef9af0.png)
A.4 | B.6 | C.4或6 | D.8 |
您最近一年使用:0次
2023-11-16更新
|
417次组卷
|
3卷引用:湖北省鄂东南省级示范高中教育教学改革联盟学校2023-2024学年高二上学期期中联考数学试题
湖北省鄂东南省级示范高中教育教学改革联盟学校2023-2024学年高二上学期期中联考数学试题湖北省鄂州市第二中学2023-2024学年高二上学期期中数学试题(已下线)2.1.4 圆与圆的位置关系(十大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)
名校
解题方法
7 . 如图,等腰梯形ABCD中,
,
,
,
,AB与CD的距离为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5f24e44289eda29c536ff3448297b6b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/47bb5193-f034-4b9e-b471-1d0e2bdf6913.png?resizew=175)
(1)求等腰梯形ABCD的外接圆E的方程;
(2)已知直线
与圆E相交于M,N两点,若
,求实数m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f752d0257c9aae75e212755abc1b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6711f23c2900c7b00a833bf21edb23d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e673ef2d48215ca84a48377f17d6df00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5f24e44289eda29c536ff3448297b6b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/47bb5193-f034-4b9e-b471-1d0e2bdf6913.png?resizew=175)
(1)求等腰梯形ABCD的外接圆E的方程;
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51fbb4d7aa18b671a845ec7bc67f87d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3181e58f09e9fec4e43e422b82831b7.png)
您最近一年使用:0次
2023-11-16更新
|
117次组卷
|
2卷引用:湖北省鄂东南省级示范高中教育教学改革联盟学校2023-2024学年高二上学期期中联考数学试题
8 . 已知直线
与圆
交于A,B两点,过A,B分别作l的垂线与x轴交于C,D两点,若
,则梯形ABDC面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db4c55186f2d64975f364a46ed44d91e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5a64bcb77f5f64e4af6930c249a270.png)
您最近一年使用:0次
2023-11-16更新
|
237次组卷
|
4卷引用:湖北省鄂东南省级示范高中教育教学改革联盟学校2023-2024学年高二上学期期中联考数学试题
名校
9 . 已知向量
,
,
,若
,
,
互不共线,且
,
,
共面,则
为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168eafc9d614f39e38071e5b838670e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8452f936533dfe37721f281a61a5cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b5fc31320afe1d944affd491fb00e3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
2023-11-16更新
|
288次组卷
|
2卷引用:湖北省鄂东南省级示范高中教育教学改革联盟学校2023-2024学年高二上学期期中联考数学试题
名校
解题方法
10 . 已知四棱台
的下底面和上底面分别是边长为4和2的正方形,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/9155d6d8-6505-4f66-a083-82bebd06e5d4.png?resizew=188)
A.侧棱![]() ![]() ![]() ![]() |
B.若E为![]() ![]() ![]() ![]() ![]() |
C.![]() |
D.设![]() ![]() ![]() |
您最近一年使用:0次
2023-11-16更新
|
448次组卷
|
3卷引用:湖北省鄂东南省级示范高中教育教学改革联盟学校2023-2024学年高二上学期期中联考数学试题