1 . 设
是圆
上一动点,点
的坐标为
,若线段
的垂直平分线交直线
于点
,则点
的轨迹方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ec7e3e8a14b217c78a6c345314d1f06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5180c8c79c1fce79a60c1cd0194ba2c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2dca049735b45fb9b2533c68605eddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2018-02-04更新
|
584次组卷
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3卷引用:【校级联考】湖南省株洲市醴陵一中、攸县一中2018-2019学年高二(上)期中联考数学试卷(理科)试题
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2 . 已知双曲线
与椭圆
有相同的焦点
、
,点
为双曲线与椭圆的一个交点,且满足
,则双曲线的渐近线方程是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb4717d7fa6d522090c5e949f650bd8.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b6adab224b9e3552b032249e6149671.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 已知两点
,
,若直线上存在点P,使
,则称该直线为“B型直线”
给出下列直线:
其中为“B型直线”的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd01b71b83bd6c8a27a712f9c31fd40c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fd799f4c8fb8e4b9d605f4c71e7edfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d3e961ac3cff5733b45c98bd6cec16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/718b0193d59d2ac91a9e148af021ab43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 如果方程
表示双曲线,则实数k的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e86eac9ddfca3564d62f765686fc4f4.png)
A.k<一1 | B.k>一1 | C.k>1 | D.k>1或k<一1 |
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9-10高二下·河北衡水·期中
5 . 双曲线
的两焦点为
,P在双曲线上,且满足
,则
的面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5054e816d3d6d2b1e4f9f5b016f929a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4747a301c16a64130ffa0ce923643e28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/709dd83332fdd081a71c83c83215ecf4.png)
A.1 | B.![]() | C.2 | D.4 |
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2016-12-03更新
|
334次组卷
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10卷引用:2012-2013学年湖南省衡阳八中高二上学期期中文科数学卷
(已下线)2012-2013学年湖南省衡阳八中高二上学期期中文科数学卷(已下线)2010年河北省冀州中学高二下学期期中考试数学(文)(已下线)2011-2012学年安徽省蚌埠二中高二下学期期中考试文科数学试卷2015-2016学年四川绵阳南山中学高二上期中文科数学试卷(已下线)2011届辽宁省沈阳二中高三第四次模拟考试理科数学2016届安徽省六安一中高三上第五次月考文科数学试卷广西壮族自治区钦州市第四中学2022-2023学年高二上学期10月月考数学试题2.1双曲线及其标准方程 同步练习-2022-2023学年高二上学期数学北师大版(2019)选择性必修第一册2.2.1双曲线及其标准方程 课时作业2021-2022学年高二上学期数学北师大版(2019)选择性必修第一册北师大版(2019) 选修第一册 数学奇书 学业评价(十七) 双曲线方程及性质的应用
6 . 在数学中,双曲函数是一类与常见的三角函数类似的函数.其中,双曲余弦函数:
,双曲正弦函数:
,双曲正切函数:
.
(1)写出函数
的单调区间,并求它的值域;
(2)若关于
的不等式
恒成立,求实数
的取值范围;
(3)已知
,
,
,点
为
的内心,求点
的横坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccdbe9b0d1f3b6ca6fa9fcd121ca80f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea7ab39c17f320e20cb4aee7ddf22a32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73ca23f2f88fd17b3191705ed21d13ee.png)
(1)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15f4dc8dda8e60acc81e7fa0b0077e30.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/603b16206cdf8f3009b8a831a820b3bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c734c9e71df78a0075923a025cf2fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a64d2e963e29c2c691bb297ec30d80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d6662c378a62fa3f50c6067a9c534bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
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解题方法
7 . 双曲线
的左、右焦点分别为
为坐标原点,
为双曲线右支上的一点,连接
交左支于点
.若
,且
,则双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5c2e64358e0ec7aa142c336d970306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447120a38d5e15d7a01d36231d648d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894cacd6074e9a1bf5d7e6c070288b24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29276f7df412949f125dd474322d4bb4.png)
A.2 | B.![]() | C.3 | D.![]() |
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