名校
解题方法
1 . 已知点
,
是圆
:
上的任意一点,线段
的垂直平分线交
于点
,设动点
的轨迹曲线为
;
(1)求曲线
的方程;
(2)过点
作斜率不为0的直线
交曲线
于
两点,交直线
于
.过点
作
轴的垂线,垂足为
,直线
交
轴于
点,直线
交
轴于
点,求线段
中点M的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daec826bcf98e738a52fa34eb8a5e85b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a8607b7bdbcb604e6fcfbccb66ed2f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09fcb20a6972108871adbf284f9e5006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ffda0c209f06e21770aeab0abc8cbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
您最近一年使用:0次
2024-04-06更新
|
254次组卷
|
2卷引用:福建省福州市八县(市、区)一中2023-2024学年高二上学期期末联考数学试题
解题方法
2 . 已知椭圆
的离心率为
,则椭圆
的长轴长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fde493afaa359ec6728f69b6d0231f2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
3 . 已知椭圆
的左右焦点分别为
,过
的直线
交椭圆于
两点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
A.![]() |
B.![]() ![]() |
C.![]() |
D.若点![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-03-26更新
|
549次组卷
|
3卷引用:福建省南平市2023-2024学年高二上学期期末数学试题
名校
4 . 已知椭圆
的左右焦点分别是
,
,过
的直线与
相交于A,B两点,若
,
,则
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595204f5b59b488a4532af8f0555c77a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d2962f9b7b3d3a2d9a4ceb99a19b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-22更新
|
552次组卷
|
2卷引用:福建省福州市八县(市)协作校2023-2024学年高二上学期期末数学试题
解题方法
5 . 在平面直角坐标系
中,设椭圆
与双曲线
的离心率分别为
,
,其中
且双曲线渐近线的斜率绝对值小于
,则下列关系不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33558881906c228c262ff8024dcfc4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33a99190a8fd29c36d5a002e3197cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
6 . 若方程
所表示的曲线为
,则下面四个说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a38954a1fbccfa4b8f6a221af4b6dc5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.若![]() ![]() |
B.若![]() ![]() ![]() |
C.曲线![]() |
D.若![]() ![]() |
您最近一年使用:0次
7 . 椭圆绕长轴旋转所成的面为椭球面,椭球面镜一般指椭球面反射镜,老花眼镜、放大镜和胶片电影放映机聚光灯的反射镜等镜片都是这种椭球面镜片.从椭球面镜的一个焦点发出的光,经过椭球面镜反射后,必经过椭球面镜的另一个焦点.现有一个轴截面长轴长为
的椭球面镜,从其一焦点发出的光经两次反射后返回原焦点,所经过的路程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb6ba6a20d59ed6800fdd0e2ca5727c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
8 . 已知方程
表示焦点在
轴上的椭圆,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95e06d2ba02b5176c01ceb2f420d950.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
9 . 已知定点
,直线
相交于点M,且它们的斜率之积为
,记动点M的轨迹为曲线C.
(1)求曲线C的方程;
(2)点
满足
,直线
与双曲线
分别相切于点A,B.证明:直线
与曲线C相切于点Q,且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/728b3360d5c6394457b907f1cbc31a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7cf9344944048679b837e863a960321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602baac86c2b1668ecdfadc8a5948885.png)
(1)求曲线C的方程;
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c37f7b5daa99a468d8943b49459730b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d45b101a851861e06398962501e9d066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790ef3382b1c731f2885eecfd92c2a86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ea74737939c0f94c91229a7098f36ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3ed61fc3f08ca7f2e38cb9d878f71.png)
您最近一年使用:0次
解题方法
10 . 已知曲线
,其中
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c56e7f41b3cce1e109a23fafa7dae449.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8af5297c9949914aceb44d6b1df814c.png)
A.存在![]() ![]() |
B.存在![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次