名校
解题方法
1 . 已知双曲线
的左、右焦点分别为
,直线
与双曲线交于
两点(点
在第一象限),且
,若
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1fedcf44928a090ad5553edf8a0fd7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c48ef73ae947fdedfdc6500ea0d82f0.png)
A.双曲线的离心率为![]() |
B.双曲线的渐近线方程为![]() |
C.![]() |
D.若点![]() ![]() ![]() |
您最近一年使用:0次
2024-06-02更新
|
471次组卷
|
2卷引用:海南省部分学校2024届高三考前押题考试(三模)数学试题
解题方法
2 . 在平面直角坐标系
中,已知双曲线
的左、右焦点分别为
,
为
右支上的一点,满足
,以点
为圆心、
为半径的圆与线段
相交于A,B两点,且
,则
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/713b18cd13ff3c4d0d306add09ecdb95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ce67f2138e7295cd72d66b2908cb6de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c23dfbe58f6e160a77abab1a62c6756d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.2 | D.![]() |
您最近一年使用:0次
解题方法
3 . 已知
是双曲线
的右焦点,直线
与
交于
两点.若
的周长为
,则
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01d7fd5550b921d7c2f83533f6994bea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004104bafb5f30338123d4ea2b7fedde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cce486a6b5a8b924f57aff7106a7cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-01-27更新
|
309次组卷
|
2卷引用:海南省海口市2024届高三下学期4月调研考试数学试题
名校
解题方法
4 . 已知双曲线
为坐标原点,
为双曲线
的两个焦点,点
为双曲线上一点,若
,则双曲线
的方程可以为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccccde70853c12e266dbf3ca681aee05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c326eaca9cfcae4388d3370519881140.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-07-20更新
|
1241次组卷
|
8卷引用:海南省文昌中学2023届高三模拟预测数学试题
海南省文昌中学2023届高三模拟预测数学试题广东省揭阳市普宁国贤学校2024届高三上学期开学考试数学试题(已下线)第八章 解析几何 专题2 双曲线方程(已下线)3.2.1 双曲线及其标准方程(精练)-2023-2024学年高二数学《一隅三反》系列(人教A版2019选择性必修第一册)(已下线)考点10 圆锥曲线的方程求解(椭圆,双曲线,抛物线) 2024届高考数学考点总动员【练】(已下线)第06讲 双曲线及其性质(十大题型)(讲义)-1(已下线)模块一 专题2 解析几何(1)(已下线)专题8.3 双曲线综合【九大题型】(举一反三)(新高考专用)-1
名校
解题方法
5 . 已知双曲线
的右焦点为
,关于原点对称的两点
,
分别在双曲线的左、右两支上,
,
,且点
在双曲线上,则双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ffc13d42ae1cd3bacf133ebd445ca02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3189bc3908cb136da87f275dc3bb10c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2096847effbda3d8e63660217601a86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
6 . 已知点
,
分别是双曲线
的左右焦点,过
的直线
与该双曲线交于
,
两点(点
位于第一象限),点
是△
内切圆的圆心,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffd29b2e8192d673308bdf8d5cb6cab.png)
______ ;若
的倾斜角为
,△
的内切圆面积为
,△
的内切圆面积为
,则
为______ .
![](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/1892b7c3cd7bea116f532f66fba44662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3511cdc6a9b56bc1d9415d3d94ef0f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd5a8e1bc9748e5519dcd9981b7eb251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffd29b2e8192d673308bdf8d5cb6cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd5a8e1bc9748e5519dcd9981b7eb251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ae858ad655ea2b3a1449623cbc7ae42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235f0a6fb218d28383e6f27f2df1f50f.png)
您最近一年使用:0次
7 . 已知双曲线C:
的左、右焦点分别为
,
,设点P为C右支上一点,P点到直线
的距离为d,过
的直线l与双曲线C的右支有两个交点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c477e5ade921ffa8377c4719319380ff.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/b650820d7bed48ed67a2869ad8c65ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
A.![]() | B.![]() |
C.直线l的斜率的取值范围是![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
8 . 已知双曲线C
的左、右焦点分别为
,
,双曲线具有如下光学性质:从右焦点
发出的光线m交双曲线右支于点P,经双曲线反射后,反射光线n的反向延长线过左焦点
,如图所示.若双曲线C的一条渐近线的方程为
,则下列结论正确的有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/9/96492904-f635-4162-aefd-b169baa3f669.png?resizew=183)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390632793a78c49470a7ccbab86fdf66.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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f75508b798b0e011e91b8d427a102ca.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/9/96492904-f635-4162-aefd-b169baa3f669.png?resizew=183)
A.双曲线C的方程为![]() |
B.若![]() ![]() |
C.若射线n所在直线的斜率为k,则![]() |
D.当n过点M(8,5)时,光由![]() |
您最近一年使用:0次
2023-05-07更新
|
1052次组卷
|
4卷引用:海南省海南中学2023届高三三模数学试题
海南省海南中学2023届高三三模数学试题湖南省邵阳市2023届高三三模数学试题辽宁省鞍山市2023届高三第九次模拟数学试题(已下线)重难点突破19 圆锥曲线中的仿射变换、非对称韦达、光学性质、三点共线问题(六大题型)-2
解题方法
9 . 已知双曲线
的焦点分别为
,
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdae18c214131e7237112807336325db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
A.渐近线方程为![]() |
B.双曲线![]() ![]() |
C.若双曲线![]() ![]() ![]() ![]() |
D.若从双曲线![]() |
您最近一年使用:0次
名校
10 . 已知点
,
分别是双曲线
的左、右焦点.
为双曲线
上一点,且
,当
时,双曲线
的焦点到渐近线的距离是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f24ad677d24612c937448cb583614d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3377c0c2bcd334a93133cdd37f34ed88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ebf276f1ddc5c8f491b9e84b843916.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41f9e305f37011c81674f8b74e081589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc0e2743eacf6de00aee5414f2c2cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
您最近一年使用:0次
2022-03-01更新
|
253次组卷
|
2卷引用:海南省海口市琼山华侨中学2021-2022学年高二3月月考数学试题