1 . 已知双曲线
的两条渐近线分别为
与
,
与
为
上关于原点对称的两点,
为
上一点且
,则双曲线离心率
的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5c2e64358e0ec7aa142c336d970306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.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/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee059f793faf96a6d8ed256f3eb2ef51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 已知双曲线
的左焦点为
,以
为直径的圆与双曲线
的渐近线交于不同原点
的
两点,若四边形
的面积为
,则双曲线
的渐近线方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a1e95f04144240c5fb3b1ff5461badc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb398137779190b35492d9f06d5fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b47e44229585c09a3eec68277369beb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d565503a14c2b084449129ea4175986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2019-06-10更新
|
4166次组卷
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16卷引用:【校级联考】河南省百校联盟2019届高三考前仿真试卷数学(理科)试题
【校级联考】河南省百校联盟2019届高三考前仿真试卷数学(理科)试题江西省宜春市高安市高安中学2019-2020学年高二上学期期末数学(理)试题(已下线)卷07-备战2020年新高考数学自学检测黄金10卷-《2020年新高考政策解读与配套资源》福建省厦门一中2020-2021学年高二(10月份)月考数学试题(已下线)考点39 双曲线-备战2021年高考数学(理)一轮复习考点一遍过天津市七校2020-2021学年高三上学期期末联考数学试题江苏省南京市秦淮中学2021届高三下学期期初学情调研数学试题天津市滨海新区塘沽一中2020-2021学年高三上学期第三次月考数学试题(已下线)考点37 双曲线-备战2021年高考数学(文)一轮复习考点一遍过 河南省南阳市六校2022-2023学年高二上学期第二次联考数学试题(B卷 )福建省厦门第一中学2020-2021学年高二上学期10月月考数学试题天津市河东区2023届高三二模数学试题黑龙江省齐齐哈尔市恒昌中学校2022-2023学年高二上学期期中数学试题广东省东莞市东莞外国语学校2023-2024学年高二上学期第二次段考数学试题河南省商丘名校2022-2023学年高二上学期第二次联考数(理)试题河南省商丘名校2022-2023学年高二上学期期末联考数学(理)试题
3 . 设
,
分别为双曲线
的左、右焦点,若在双曲线的右支上存在点P,满足
,且原点O到直线
的距离等于双曲线的实轴长,则该双曲线的渐近线方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a8ac969e5cec3be6abf4ff44c692e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cfe4a3d91a9e02b47a91cc8957e4b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a946c09794345bc8fe8c07b39c96c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b741984b445c2bcb6005c24ac82aa829.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 . 已知点
是双曲线
右支上一点,
、
分别是双曲线的左、右焦点,
为
的内心,若
成立,则双曲线的渐近线方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cfe4a3d91a9e02b47a91cc8957e4b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a8ac969e5cec3be6abf4ff44c692e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1191be88ee9840e6189c86b987e6085e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/742257943a4d4bf04143b07f670426ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
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2019-03-04更新
|
1532次组卷
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5卷引用:【市级联考】安徽省淮南市2019届高三第一次模拟考试数学(理)试题
5 . 已知双曲线
右支上的一点
,经过点
的直线与双曲线
的两条渐近线分别相交于
,
两点.若点
,
分别位于第一,四象限,
为坐标原点.当
时,
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1983309686915252c4efc8e4455b9d96.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/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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681cc4cd0bd8467faedcbb5102dca112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4529ed22b40e21f87009e0d346ad5a90.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 已知双曲线
的左、右焦点分别为
,
,过
作圆
的切线分别交双曲线的左、右两支于
,
,且
,则双曲线的渐近线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2185589b411b60c72173d213138e92d2.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/1e4be819fc47b2aa19ab2022b3dfeb6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d88f8f6a5ef2408ea59d1a88ff0a30c9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2019-07-27更新
|
1080次组卷
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9卷引用:2015届陕西西北工业大学附中高三下学期四模考试理科数学试卷
名校
解题方法
7 . 如图,已知双曲线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5c2e64358e0ec7aa142c336d970306.png)
的右顶点为
为坐标原点,以点
为圆心的圆与双曲线
的一条渐近线交于
两点,若
且
,则双曲线
的离心率为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/6/38703300-9709-44bd-8ca2-2c21e9ef28c3.png?resizew=175)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5c2e64358e0ec7aa142c336d970306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f311053d11884b1a21d5f9b5724996c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f4411b37e8ed03b1841906af3bf912f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48c18aeb6e0a39d12ddac9596ed930d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1acbdea612c412f60bcf1c2290dfe385.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/6/38703300-9709-44bd-8ca2-2c21e9ef28c3.png?resizew=175)
A.![]() | B.![]() | C.![]() | D.![]() |
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2018-06-01更新
|
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|
3卷引用:【全国校级联考】浙江省温州市六校协作体2017-2018学年高二下学期期中联考数学试题
【全国校级联考】浙江省温州市六校协作体2017-2018学年高二下学期期中联考数学试题重庆市第一中学校2022-2023学年高二上学期12月月考数学试题(已下线)2023年高考全国甲卷数学(理)真题变式题6-10
名校
8 . 设
,
为双曲线
同一条渐近线上的两个不同的点,若向量
,
且
,则双曲线的离心率为
![](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/61b24379bfd52432a183e4aea7318e91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1456031b36dbf33a12c5a2b772055977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bfa9415b1c3c5b225f93e5c064f8091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c7e1ac45e055d00510df22fb13b3a0.png)
A.2或![]() | B.3或![]() | C.![]() | D.3 |
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2018-04-11更新
|
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5卷引用:四川省2018届高三“联测促改”活动数学(文科)试题
真题
名校
9 . 设双曲线
(a>0,b>0)的右焦点为F,右顶点为A,过F作AF的垂线与双曲线交于B,C两点,过B,C分别作AC,AB的垂线交于点D.若D到直线BC的距离小于
,则该双曲线的渐近线斜率的取值范围是 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26edaeb620232700d1686c02e5715488.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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2019-01-30更新
|
3589次组卷
|
14卷引用:2015年全国普通高等学校招生统一考试理科数学(重庆卷)
2015年全国普通高等学校招生统一考试理科数学(重庆卷)2016-2017学年河北武邑中学高二理周考10.9数学试卷天津市河西区新华中学2017-2018学年高二上(文)(理)数学试题天津市新华中学2017-2018学年高二上学期期中考试数学试题江西省南昌市第二中学2019-2020学年高二上学期期中考试数学(文)试题2019届浙江省宁波市镇海中学高三下学期高考适应性考试数学试题(已下线)专题09 解析几何小题问题之一距离-备战2020年高考数学二轮痛点突破专项归纳与提高高中数学解题兵法 第四十四讲 直接法河南省信阳高级中学2022-2023学年高三上学期开学考试数学(文)试题内蒙古自治区莫力达瓦达斡尔族自治旗尼尔基第一中学2021-2022学年高三上学期期末理科数学试题浙江省金华第一中学2023-2024学年高二上学期11月期中数学试题浙江省金华市武义第一中学2023-2024学年高二上学期12月检测1数学试题(已下线)专题16 解析几何选择题(理科)-2专题22平面解析几何选择填空题(第二部分)
名校
10 . 已知双曲线
:
(
,
)的左、右焦点分别为
、
,过点
作圆
:
的切线
,切点为
,且直线
与双曲线
的一个交点
满足
,设
为坐标原点,若
,则双曲线
的渐近线方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42dc9b1c1d859072331826a5885137b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae018fde08edf0539089f98c17e11ff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d19bce4c604450307f40dcbd6a9ca6c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a8ac969e5cec3be6abf4ff44c692e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a8ac969e5cec3be6abf4ff44c692e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb9ad1e34877b0db02d0219332b0f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93749df6d090109177f43137fb5192ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb1b596d621fda064b6cdcfa61b8120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1e7fd312b1ef8c9d4da0595323ea6f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2018-01-16更新
|
893次组卷
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3卷引用:江西省抚州市临川区第一中学2018届高三上学期教学质量检测(二)数学(文)试题
江西省抚州市临川区第一中学2018届高三上学期教学质量检测(二)数学(文)试题(已下线)专题5.2 解析几何与平面向量相结合问题-玩转压轴题,进军满分之2021高考数学选择题填空题陕西省西安市铁一中学2022-2023学年高二下学期5月月考理科数学试题