名校
1 . 已知随机变量
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aef464b1f0e9c7e4a33f0741ee1726f.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ec7ced92886686590592cb4a57fb68c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aef464b1f0e9c7e4a33f0741ee1726f.png)
您最近一年使用:0次
2024-01-31更新
|
680次组卷
|
2卷引用:湖南省娄底市2024届高三上学期期末质量检测数学试题
名校
解题方法
2 . 已知双曲线
,直线
和
相互平行,直线
与双曲线
交于
两点,直线
与双曲线
交于
两点,直线
和
交于点
(异于坐标原点).若直线
的斜率为3,直线
是坐标原点
的斜率
,则双曲线
的离心率的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ddc56a4910b7f69f606f6cfdecb8f07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2397df3279607612ea3cbef101ee0bf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2024-01-31更新
|
232次组卷
|
2卷引用:湖南省娄底市2024届高三上学期期末质量检测数学试题
名校
解题方法
3 . 已知平面非零向量
的夹角为
,且满足
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a1e15f2f05e7bb5257e447c6ebe496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/159549071ccbe09b067011e9e58cb360.png)
A.![]() | B.12 | C.![]() | D.24 |
您最近一年使用:0次
2024-01-31更新
|
725次组卷
|
5卷引用:湖南省娄底市2024届高三上学期期末质量检测数学试题
湖南省娄底市2024届高三上学期期末质量检测数学试题湖南省长沙市长郡中学2024届高考考前模拟卷数学试题(一)(已下线)重难点4-1 平面向量的最值与范围(4题型+满分技巧+限时检测)(已下线)考点4 平面向量的范围问题 --2024届高考数学考点总动员【练】(已下线)第20题 平面向量最值范围,解法灵活数形为本(优质好题一题多解)
解题方法
4 . 如图,棱长为2的正方体
中,
,
分别是线段
和
上的动点.对于下列四个结论:
平面
;
②线段
长度的取值范围是
;
③三棱锥
的体积最大值为
;
④设
,
分别为线段
和
上的中点,则线段
的垂直平分线与底面的交点构成的集合是圆.
则其中正确的命题有______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ab03deb15e25f16f9bae24d5aac4e9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9edc50f7febbc2d5d8dcdc23a3630a7.png)
②线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f541f7ae7c39082d202efd28805c54e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/599f32abea48b3914142615dbc9e2613.png)
③三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d492a2248463e0c0199a25d0f76d23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
④设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f541f7ae7c39082d202efd28805c54e.png)
则其中正确的命题有
您最近一年使用:0次
2024-01-31更新
|
463次组卷
|
2卷引用:湖南省永州市部分学校2023-2024学年高一下学期6月质量检测卷数学试题
名校
解题方法
5 . 已知一个圆台的上、下底面半径为
,若球
与该圆台的上、下底面及侧面均相切,且球
与该圆台体积比为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1817297374e431a1d9087dcc2991d3a9.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa38149578f22f9e1e2bd481dade72de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36fc07486f804358983a79746f8a9e41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1817297374e431a1d9087dcc2991d3a9.png)
您最近一年使用:0次
2024-01-31更新
|
424次组卷
|
3卷引用:湖南省长沙市第一中学2023-2024学年高二下学期开学自主检测数学试题
湖南省长沙市第一中学2023-2024学年高二下学期开学自主检测数学试题浙江省湖州市2024届高三上学期期末数学试题(已下线)专题07 立体几何表面积、体积、截面和点线面的8种常考题型归类(2) -《期末真题分类汇编》(北师大版(2019))
名校
解题方法
6 . 如图,在多面体
中,四边形
为平行四边形,且
平面
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e49adfc06a83004ec42a22d9a06c26af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
.点
分别为线段
上的动点,满足
.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
平面
;
(2)是否存在
,使得直线
与平面
所成角的正弦值为
?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1caf5676a9bb01365907b62af59fdbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e49adfc06a83004ec42a22d9a06c26af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df4b833fb7dd03c34ac40c664cd8483d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f2be5f930744983e6829e8c06dc3204.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4649d20f21891975c52cc85dabd83622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09d9d486b7f91ba933210dd013a7f2c.png)
(2)是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a2e3526bc8be03b7a602d25ea2c7e24.png)
您最近一年使用:0次
2024-01-31更新
|
1370次组卷
|
6卷引用:湖南省2024届高三数学新改革提高训练二(九省联考题型)
湖南省2024届高三数学新改革提高训练二(九省联考题型)浙江省湖州市2024届高三上学期期末数学试题四川省成都市第七中学2023 2024学年高三下学期入学考试理科数学试卷(已下线)黄金卷03(2024新题型)(已下线)高二数学下学期期末押题试卷02(测试范围:新高考全部内容)-【好题汇编】备战2023-2024学年高二数学下学期期末真题分类汇编(新高考专用)四川省成都市第七中学2024届高三下学期开学考试数学(理)试题
7 . 已知数列
的前
项和为
.数列
的首项
,且满足
.
(1)求数列
的通项公式;
(2)求证:数列
为等比数列;
(3)设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce817f902302ebdd5a599e43df77614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a24e6bcf49b8e45531a2d4e4c70c181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d4f5adeb7f0306906a47224fbf95328.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efd8dabdd9fa8bbbfe7f96bc6dd7cd7a.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c2a5f8ec179b72b201c3c0a670612a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2024-01-31更新
|
1156次组卷
|
3卷引用:湖南省株洲市第二中学2023-2024学年高二下学期入学考试数学试题
名校
解题方法
8 . 已知双曲线
的离心率
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c7f279d486ed1e3e1037857aba0c0ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92d6954d226781b6b16718971419e26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-01-31更新
|
1939次组卷
|
7卷引用:湖南省常德市临澧县第一中学2023-2024学年高三第七次阶段性考试数学试题
9 . “
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fc597b4887651e79f55670147a8d36b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa3205b1df826d63914dcb55bb3ab43.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充分必要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
解题方法
10 . 下列说法正确的是( )
A.若![]() ![]() |
B.函数![]() |
C.函数![]() |
D.将函数 ![]() ![]() ![]() |
您最近一年使用:0次