名校
解题方法
1 . 已知离心率为
的椭圆
的左、右焦点分别为
,
,上顶点为
,线段
的中点为
,射线
与
交于点
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183b6a0cef4256c9696a5bca31053da5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7272356beb98a7953a49651324cb6455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f31f96cf332eb02e7a1cf084579663f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9055f58bf6bb8d6c55dcc14b2ae51b4c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2 . 过点
且与曲线
在点
处的切线平行的直线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2f21b1baf0624482fd41d7ba390341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c00def9934ac01a354afbe7a16fe304d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e584f799ea554fc5533925ead4672501.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
3 . 若动直线
始终与椭圆
(
且
)有公共点,则
的离心率的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ca63641483aeb95d626f42db48e413b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7652756f71aa23878dc03bbc76dccd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/491d36fe6532b2ff52d6f56a63c31e2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
4 . 已知双曲线
,点
和直线
.
与
交点的个数;
(2)当
时,如图,过点
作直线
与
的右支交于
两点,与直线
交于
点,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5bef93a53a2004910a8cac32f93c4b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b700f6d7474d389d3b1670364cf8c2c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b85872db2c6aee423ab6a8cbaa4a7e8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26a5939b0ced111323ed2a751e9065e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4b26806dada84aec6276cbb9ac0d380.png)
您最近一年使用:0次
5 . 设
为抛物线
准线上的一个动点,过
作
的两条切线,切点分别为A,B.
(1)证明:直线
过定点;
(2)当直线
斜率不为0时,直线
交
的准线于
,设
为线段
的中点,求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7ad3432ac96b0a38beaa7f2edc3499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)当直线
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb21210b72cad5fd2ff3475f4c67b02.png)
您最近一年使用:0次
6 . 过原点且与直线
垂直的直线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f129d441ab39d195cb2580c46065d0fb.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
7 . 设直线系
(其中0,m,n均为参数,
,
),则下列命题中是真命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b73cf02fb24824f6343afb9d255dd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8453a001673a2850320eebc033c3618d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a0a309ce715cd1a9d503c1a201c71ae.png)
A.当![]() ![]() |
B.存在m,n,使直线系M中所有直线恒过定点,且不过第三象限 |
C.当![]() ![]() |
D.当![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-04-15更新
|
654次组卷
|
3卷引用:河南省南阳市西峡县第一高级中学2023-2024学年高二下学期第一次月考数学试卷
解题方法
8 . 过点
且倾斜角为
的直线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2595e01e8751886a27862cce04e2d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
9 . 太极图是由黑白两个鱼形纹组成的图案,俗称阴阳鱼,太极图展现了一种相互转化,相互统一的和谐美.定义:能够将圆
的周长和面积同时等分成两部分的函数称为圆
的一个“太极函数”下列有关说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.对圆![]() |
B.函数![]() ![]() |
C.存在圆![]() ![]() ![]() |
D.直线![]() ![]() |
您最近一年使用:0次
2024-04-04更新
|
434次组卷
|
3卷引用:河南省信阳市新县高级中学2024届高三下学期适应性考试(八)数学试题
10 . 已知直线
与双曲线
交于
两点,
为双曲线
上在第一象限内一点,且
(
为坐标原点),则
到
的距离最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc5bd66dd6d5e09ff0893a938aed56e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5bef93a53a2004910a8cac32f93c4b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cbe6f12d3e4a7d651fa8d045b963962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2024-03-29更新
|
133次组卷
|
2卷引用:河南省新高中创新联盟TOP二十名校2023-2024学年高二下学期2月调研考试数学试题