解题方法
1 . 已知双曲线
右焦点为
,过
且垂直于
轴的直线与双曲线交于
,
两点,抛物线
的焦点为
,若
为锐角三角形,则双曲线的离心率的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebe294e939b9fb81256d7218a773b5ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/9278ebd294ff78bb178c0052ea92b159.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004104bafb5f30338123d4ea2b7fedde.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-05-09更新
|
611次组卷
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6卷引用:2020届河南省九师联盟高三核心模拟卷(上)数学(理)试题(五)
名校
解题方法
2 . 已知中心在原点的椭圆与双曲线有公共焦点,左、右焦点分别为
、
,且这两条曲线在第一象限的交点为
,
是以
为底边的等腰三角形,若
,椭圆与双曲线的离心率分别为
、
,则
的取值范围是( )
![](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/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0f128d08df53efd55ce7f3822991e0.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/120f812ad42739155a1337e7d5a7bcf7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-05-06更新
|
460次组卷
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2卷引用:湖南省长沙市长郡中学2017-2018学年高二上学期第一次模块检测理科数学试题
解题方法
3 . 已知双曲线
,当
变化时,下列关于双曲线
说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f2ae87d08d3ab2fc0d6bc2e02d13d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.顶点坐标不变 | B.焦距不变 |
C.离心率不变 | D.渐近线不变 |
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2020-05-03更新
|
383次组卷
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2卷引用:2019届百师联盟全国高三冲刺考(四)全国 I 卷数学(理)试题
名校
解题方法
4 . 已知双曲线
的离心率为
,则双曲线
的焦距是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a973773a0215953ee003b1f2659a20d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11a33adcbed89e81a6f835f8fc9291cb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-04-30更新
|
461次组卷
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4卷引用:2020届河南省名校联盟高三4月教学质量检测数学(文)试题
解题方法
5 . 已知双曲线
的右焦点为
,直线
与双曲线
的渐近线在第一象限的交点为点
,坐标原点为
,
的面积为
,则双曲线
的离心率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6fe0f38ab3095ac6575faa02914b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2290f7912c9a6bfd39ec271f5672f6f8.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e55b85a1dc91ee8a026ad44e82d42b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8cc0b4997cae4d8aec791a1d3923314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.2 | C.![]() | D.3 |
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解题方法
6 . 已知椭圆
的右焦点为
,直线
:
,若
与双曲线
的两条渐近线分别交于点
和点
,且
(
为原点),则双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
![](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/639c3d2ff5ee566fcc1b69c65712a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.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/9973cb175a2b1ee9d1c33326532f8f18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.![]() | B.![]() | C.2 | D.![]() |
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2020-04-22更新
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299次组卷
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2卷引用:A佳教育湖湘名校2019-2020学年高二下学期3月线上自主联合检测数学试题
名校
解题方法
7 . 若双曲线
的右顶点
到一条渐近线的距离为
,则双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ceaeb4afbf2ef3fa85adf76118a19d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96ed073cbf9c38f596353a45f816df9.png)
A.![]() | B.![]() | C.3 | D.![]() |
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2020-04-20更新
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1681次组卷
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7卷引用:河北省衡水中学2020届高三下学期第九次调研数学(文)试题
名校
解题方法
8 . 抛物线
的焦点到双曲线
的渐近线的距离是
,则该双曲线的离心率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
9 .
为双曲线
的左焦点,过点
的直线与圆
交于
、
两点,(
在
、
之间)与双曲线
在第一象限的交点为
,
为坐标原点,若
,且
,则双曲线
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0944c99f34ee41bea845303ed15a7d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1e81a0995ee5492c4281539c65bf00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edca6c369d7b8b042f370ab0c4d2d67a.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df302d01ba39557020c9f9985de8c495.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c88c05b7e639034612a26b0fb1a98311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4卷引用:四川省泸州市泸县第五中学2020-2021学年高二上学期第二次月考数学(理)试题
名校
解题方法
10 . 已知
、
分别是双曲线
的左、右焦点,过
作双曲线
的一条渐近线的垂线,分别交两条渐近线于点
、
,过点
作
轴的垂线,垂足恰为
,则双曲线
的离心率为( )
![](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/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-04-09更新
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7卷引用:广东省湛江市2019-2020学年高三下学期模拟数学(理)试题
广东省湛江市2019-2020学年高三下学期模拟数学(理)试题福建省厦门市海沧中学2019-2020学年高三四月强化检测(理科)数学试题2020届河北省沧州市高三一模数学(文)试题2020届河北省沧州市高三一模数学(理)试题(已下线)冲刺卷03-决战2020年高考数学冲刺卷(山东专版)(已下线)专题05 平面解析几何-2020年高三数学(文)3-4月模拟试题汇编(已下线)第一篇双曲线03-2020年高考数学选填题专项测试(文理通用)