1 . 有下列命题:
①抛物线
的准线方程为
;
②已知直线过两点
,
,则此直线的斜率是
;
③若方程
表示双曲线,则实数
的取值范围是
.
其中正确命题的序号为________ (把正确的答案都填上).
①抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5db63cef6d8bbb08137d71c6f7b6e741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b650820d7bed48ed67a2869ad8c65ff1.png)
②已知直线过两点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aedad6bb70631b944c69f8f0b02b35d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47153fdd73c0661fa460130082e30929.png)
③若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc5494f7d24f95a721555b85c84e8a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/127aacea765b09f5110b3176493f0dd2.png)
其中正确命题的序号为
您最近一年使用:0次
2 . 已知曲线C: ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a15384f66e82a9e7a0405118f5e56766.png)
.
(1)求t为何值时,曲线C分别为椭圆、双曲线;
(2)求证:不论t为何值,曲线C有相同的焦点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a15384f66e82a9e7a0405118f5e56766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2e350233894650267d35c790343dc2.png)
(1)求t为何值时,曲线C分别为椭圆、双曲线;
(2)求证:不论t为何值,曲线C有相同的焦点.
您最近一年使用:0次
3 . 下列命题中,真命题的个数为( )
(1)
是
为双曲线的充要条件;
(2)若
,则
;
(3)若
,
,则
;
(4)椭圆
上的点距点
最近的距离为
;
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85feaa0f6ce7f2926a66ebb864c57003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23619afa244473cf5bcc5d9548290935.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34715101c66fa12ce6baf0a9c53f1672.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a95360167709d6c2fe4747dd1e50be.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8a232e192397643c61726c5a530e959.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f5d7877dbb0211b0ea4243072bce87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5aa846a5b7c96fe2ce665eb1ea5f0e.png)
(4)椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6205da5e1d2730ee0b3de8bca3e29f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/973aa6f1a268dbd02fa5236dc6f58647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
4 . 在平面直角坐标系中,O为坐标原点,满足
的复数
对应的动点
的轨迹记为
.
(1)若
为双曲线,求该双曲线的焦距和a的取值范围;
(2)若
,且直线
与
交于A、B两点,求
的面积
;
(3)若
,过点
的直线
与
有且仅有一个公共点,求
与
的公共点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b19a09fd9932787f5fb61b16af7bae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14ef34caabc3b029b69859580279beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb51096f4d54ad3cc2aa72a26151904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a711bf44ed64556c72fbb0e7f42c27f.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25ce60648ea5042ab5eb5702efe651a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
您最近一年使用:0次
21-22高二上·全国·课前预习
5 . 求满足下列条件的参数的值或取值范围.
(1)已知
,当
为何值时,①方程表示双曲线;②表示焦点在
轴上的双曲线;③表示焦点在
轴上的双曲线;
(2)已知双曲线方程为
,焦距为6,求
的值;
(3)椭圆
与双曲线
有相同的焦点,求
的值.
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/191fea45ff1f294a00e3b16e05778e88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)已知双曲线方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c611edeacddd8e9bde4198b86cd775e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/996e27bd38f73ac37970225f09a9ee95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7e226a40cb115121ec380a5b06d703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
6 . 已知曲线
,关于曲线
的四个结论:
①若曲线
表示双曲线,则
;②曲线
的焦点可以在x轴上,也可以在y轴上;
③若曲线
表示椭圆,则
;④曲线
可能表示圆.
其中所有正确的编号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffb508c091dc91121f6b7b975ccb183d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
①若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d319c9420485fb86f13e0628ed4fd595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
③若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df2817c52144d06555e98131b5e657c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
其中所有正确的编号为( )
A.①② | B.①③ | C.②③ | D.③④ |
您最近一年使用:0次
2021-11-13更新
|
1080次组卷
|
2卷引用:天津市耀华中学2021-2022学年高二上学期期中数学试题
名校
7 . 下列说法正确的是( )
A.方程![]() |
B.直线![]() ![]() ![]() |
C.“![]() ![]() |
D.“直线![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
名校
8 . 下列说法正确的是( )
A.“直线![]() ![]() ![]() |
B.“![]() ![]() |
C.“![]() ![]() |
D.“![]() ![]() |
您最近一年使用:0次
名校
9 . 给出下列命题,其中真命题为( )
①若
为假命题,则
,
均为假命题,;
②在残差图中,残差点分布的带状区域的宽带越狭窄,其模型拟合的精度越高;
③方程
表示双曲线”是“方程
表示椭圆”的充要条件;
④两个随机变量的线性相关性越强,相关系数的绝对值越接近于1;
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
②在残差图中,残差点分布的带状区域的宽带越狭窄,其模型拟合的精度越高;
③方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/296f6b73bcb1ea61bff5367a9a918613.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8691b79e97b728da70686e72561034d.png)
④两个随机变量的线性相关性越强,相关系数的绝对值越接近于1;
A.①②④ | B.①③④ |
C.②③④ | D.②④ |
您最近一年使用:0次
10 . 以下命题正确的个数是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
①已知
,
,若
,则
;
②已知双曲线
的一个焦点为
,则
;
③设
是不为零的实数,若方程
表示双曲线,则
;
④函数
的图象记为曲线
.若
则曲线
关于直线
对称.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
①已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d285a4c557fc9748105b62ccd94b7859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724ebc82bb89b052eb0cb20af5dd59f0.png)
②已知双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/744ee289b954149fb985e3de3039f8ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a80fd8b6f1f56304198b3fe89accd3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
③设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c460295b0a8d89923eeda4b85f4ded.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ea070a08757077f748e0b631168483.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6628dd6957948c73fc09ef12e6aca393.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95a2ec02caf837c6e7e0b76dd9acc7f0.png)
A.1个 | B.2个 | C.3个 | D.4个 |
您最近一年使用:0次