真题
1 . 定义一个集合
,集合中的元素是空间内的点集,任取
,存在不全为0的实数
,使得
.已知
,则
的充分条件是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5b35f6fb648951da2a58b8f7f0b1873.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/096820d860ddf8f3155bf36f5fded491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef3082f30bdeb19124814eacce2ac58f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c70219b67f6352be3d0a0400bde89d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51f0e65d0421529cf42d98794b027e82.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
真题
解题方法
2 . 已知双曲线
左右顶点分别为
,过点
的直线
交双曲线
于
两点.
(1)若离心率
时,求
的值.
(2)若
为等腰三角形时,且点
在第一象限,求点
的坐标.
(3)连接
并延长,交双曲线
于点
,若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07a3c16c6fb4a254b44936b2caf107a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8547f2b4e89b0ae1445bda02d46f0668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
(1)若离心率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0276541c12707b24d2f06ea3d976cf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31f02a5f7c7bed4e46a9ea36b510590a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0009063fe00277645aff1be6e32471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d353f7781e779b5c72e56388934e345.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
真题
3 . 若
.
(1)
过
,求
的解集;
(2)存在
使得
成等差数列,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b04f2b67e3c95a11d844e3d54e8504.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081cd41dab0f2a8f84b0e9f1df4843fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c25db143eb14b7b6997047aa3cca12.png)
(2)存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77e47518677c6d5041e3741d83701320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
真题
解题方法
4 . 下列函数
的最小正周期是
的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e2d7c958e99bcd9d7f251c19ee3544.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
真题
解题方法
5 . 如图为正四棱锥
为底面
的中心.
,求
绕
旋转一周形成的几何体的体积;
(2)若
为
的中点,求直线
与平面
所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/009f7fec144dc40bfa9c9580e60027ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5197c077c34856fe93b63adf7087a62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e534b545e86c02abd2a0dc75d32b407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef49a3ca580a144cc65a609c167facc1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b042a421f69e57ab36c43f2f7051a7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e2da608b66c9aee03e2503388ba4fd.png)
您最近一年使用:0次
真题
解题方法
6 . 已知函数
的定义域为R,定义集合
,在使得
的所有
中,下列成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff42ff0e772a602981c54616134a52c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e98d299979423e5ae74b618b07d10c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
A.存在![]() | B.存在![]() ![]() |
C.存在![]() | D.存在![]() ![]() |
您最近一年使用:0次
真题
7 . 已知气候温度和海水表层温度相关,且相关系数为正数,对此描述正确的是( )
A.气候温度高,海水表层温度就高 |
B.气候温度高,海水表层温度就低 |
C.随着气候温度由低到高,海水表层温度呈上升趋势 |
D.随着气候温度由低到高,海水表层温度呈下降趋势 |
您最近一年使用:0次
真题
解题方法
8 . 设集合
中的元素皆为无重复数字的三位正整数,且元素中任意两者之积皆为偶数,求集合中元素个数的最大值______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
真题
9 . 已知虚数
,其实部为1,且
,则实数
为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a2f912dba0e17b3b87244e131e4b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
真题
10 . 无穷等比数列
满足首项
,记
,若对任意正整数
集合
是闭区间,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b67857a043caf87b55d38401d0d9062.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d59e4e49e9b0b2493f18b41e260da5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d72f2cbabcb955a433e99bf0ee8ec020.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
您最近一年使用:0次