名校
解题方法
1 . 已知复数
且
,其中
为虚数单位,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70b75b57cb1a7c1756d713c09ef52bfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de59a6da1ee210ccf04651ae53275dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
A.-4 | B.-3 | C.-2 | D.0 |
您最近一年使用:0次
名校
解题方法
2 . 已知向量
,且
平面
平面
,若平面
与平面
的夹角的余弦值为
,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c548218e603eb4464bdd1fe4e5bf9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a149e3fbd368c1852d64585e2334a4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed43e58b898d683085e39daa0ca7e93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24c14ff9b66f21c05e52dc3c8908c2df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() | C.-1或2 | D.![]() |
您最近一年使用:0次
2024-06-10更新
|
175次组卷
|
3卷引用:贵州省六盘水市盘州市第一中学2023-2024学年高二上学期期末考试数学试题
名校
解题方法
3 . 已知半径为2的圆
的圆心在射线
上,点
在圆
上.
(1)求圆
的标准方程;
(2)求过点
且与圆
相切的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b43e1bea7019a76adbc8651256cdfdfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f20953302d861e6c698575bfbab1c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96e30645f36e8628b9e25d53598d5174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2024-06-05更新
|
162次组卷
|
2卷引用:贵州省六盘水市盘州市第一中学2023-2024学年高二上学期期末考试数学试题
4 . 如图,在三棱锥中,点
满足
,则
( )
A.![]() | B.![]() | C.2 | D.![]() |
您最近一年使用:0次
2024-03-21更新
|
424次组卷
|
2卷引用:贵州省黔东南州2023-2024学年高二上学期期末检测数学试题
解题方法
5 . 已知点
,动点
满足
,记点
的轨迹为曲线
.
(1)求
的方程;
(2)若
是
上不同的两点,且直线
的斜率为5,线段
的中点为
,证明:点
在直线
上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b10869dee07ab7948bfdb81ad58f134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1350897d718a2592dfe8f8ddc5154e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7f8878d628d46bcb847f791857b650.png)
您最近一年使用:0次
2024-03-10更新
|
410次组卷
|
2卷引用:贵州省黔东南州2023-2024学年高二上学期期末检测数学试题
解题方法
6 . 已知数列
中,
,
(
,
),且
是
和
的等差中项.
(1)求实数
的值;
(2)求证:数列
是等比数列,并求出
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf7dfbcf6abb1df938b24074cd048683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d8047f0a8bd0cf4e250cd0fe80093b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c873cf33f90999dca0e29fe113db34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b3175ab6772cd611f9c42771a9467d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dda6c54eafc6fe26d710ff3d8cb7b5a6.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82f8b6edfb7d680d88ed991d5c552c43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
您最近一年使用:0次
解题方法
7 . 已知数列
的前n项和为
,
.
(1)求数列
的通项公式
;
(2)记数列
的前n项和为
,求
的表达式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58eafc26c993f4c29480ef909c5fbc60.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)记数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57a9d4802b243b1b38abd6170c595909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2024-03-08更新
|
585次组卷
|
2卷引用:贵州省安顺市2023-2024学年高二上学期期末教学质量监测考试数学试题
8 . 如图,在直四棱柱
中,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/2/1be4fe13-c780-4e17-8811-b8e0dd8c63e4.png?resizew=128)
(1)证明:
.
(2)若
,四边形
的面积为
,求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0424446817f60c18f8e4e3cc202ad99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e36dc59be52ecb9d31f86a148e53ab43.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/2/1be4fe13-c780-4e17-8811-b8e0dd8c63e4.png?resizew=128)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442beba7ef17d73029f5aeff3d944c04.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ee160c2700328be5b2ff970e0f81b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b0a582c36d62d83c16425b2f54b4354.png)
您最近一年使用:0次
9 . 椭圆
的焦距为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48dc0a237b848088bf4ca9f82a1dd2b0.png)
A.![]() | B.4 | C.![]() | D.2 |
您最近一年使用:0次
10 . 已知
是空间的一个单位正交基底,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5401d7f4a297c8b097e74bdebaaa8570.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次