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1 . 已知双曲线eqId58ecc109d7934cbb921c58754c302a4b的左、右焦点分别为eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e,过eqIdde963a24921f4ee7a991bf9d4f43a42e作渐近线的垂线,垂足为eqIdbedf755e0fdb4d078d6859360706b163eqId2efda802d5534f6d92d9f8af7aaec28b为坐标原点,且eqId9a54467ac60145f298ed3738da316926,则双曲线的离心率为(   )
A.eqId5e30b3f3682042e3bf61665ea4945f08B.3C.eqId2644c4fd7d684e75ae5ed93cb3581244D.eqId561a5fdde8c94d4f825a1bbd7bf79a77
2 . 双曲线eqIdceed1a7797e443d9abdce2f0c8179d8e的顶点焦点到eqId19a4eb16029e4550a14f2afe4741a3c3的一条渐近线的距离分别为eqIda2a0ce3781fa4c26b624f5966b7dee44eqId7bcd573cee334383ad72cc4b179fcfb3,则eqId19a4eb16029e4550a14f2afe4741a3c3的方程为(   )
A.eqId77f0d42a3e9a4223a32b7a7e4b3e8e7cB.eqIdc59ff4f56d494a72b98b81c9c1660152
C.eqIdb0c1ce39923d4bed9facd6970f8772daD.eqIda9f465d6a4f04a358eaf8bfea615c387
单选题 | 一般(0.65) | 2021·浙江绍兴市·高二期末
解题方法
3 . 已知eqId5f04473e64c141bcbe9b0a8af27f4aa8为双曲线eqId0f14428848fa4e8cbdaccdcb9711090d的左、右焦点,过eqId0aa72756ed0c4c7a89f26aa94f43e47deqId96dc7d2790c044d68de0bdfb1690e168的垂线分别交双曲线的左、右两支于eqId8bb868704ca84429be4745c5bb899ffb两点(如图).若eqId94d80cceb69a4bc3848626638227db78,则双曲线的渐近线方程为(   )
说明: figure
A.eqId4114d054e35047019c8724c257b68f5bB.eqId2747a0a5e7f048c3bea5d78f1368668c
C.eqId84a5027872de46a9a6a46ba6b909c2bcD.eqId458caf18191f4c828cd75d9d5d80d8b5
多选题 | 较易(0.85) | 2020·福建省福州第一中学高二期中
解题方法
4 . 已知双曲线eqId93cbffaa5ae045d6ac45d1e979991c3a的中心在原点,对称轴为坐标轴,离心率为eqIdcd9b24a6a6e5426ab775be20461174e3,则双曲线eqId93cbffaa5ae045d6ac45d1e979991c3a的渐近线方程为(   )
A.eqId04fa12fdeab7469b817a7e42f804a494B.eqId2747a0a5e7f048c3bea5d78f1368668cC.eqIdb0464e986eb84c2e967dcb0aa5ea42c5D.eqId20b5739e4326467eb93a8a7e90351a66
5 . 已知eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e是双曲线eqId0f14428848fa4e8cbdaccdcb9711090d的左、右焦点,若点eqIdde963a24921f4ee7a991bf9d4f43a42e关于直线eqIda0560e5901d54b7e9251675e52a7a16d的对称点eqId2381423d4cd146cab95f55527681a766也在双曲线上,则该双曲线的离心率为(   )
A.eqIdc5891f66ccce4fcaa336ab9e7f6f6733B.eqId317ed84d205b4156847380f7e9f38b08C.eqIdcd9b24a6a6e5426ab775be20461174e3D.2
单选题 | 较易(0.85) | 2021·全国高二课时练习
7 . 直线eqId9cc5113f4c5f458aa039c2d77b69956a与双曲线eqId3327c113c43b4f7191d1fa2c69c46c60(eqId982da3835b7946d999cc8604a2ece266eqId8164502d09d44990ac4f2f73ea67e37a)的左支、右支分别交于eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5c两点,eqId2efda802d5534f6d92d9f8af7aaec28b为坐标原点,且eqIddf1261303406416b95167db34b378716为等腰直角三角形,则该双曲线的离心率为(   )
A.eqIdc5891f66ccce4fcaa336ab9e7f6f6733B.eqId6b2724baa0064c51b2ba39f5b281a1ebC.eqIda55fbb22049f4dbfafa09d086ef628a9D.eqIdbc83c0c2b3ee474da13554226394e720
更新:2021/08/01组卷:0
单选题 | 较易(0.85) | 2021·云南昆明市·高二期末(文)
解题方法
8 . 已知双曲线eqIdca9bbb19cd4b49ae8f45dbf75ce5374c的顶点、焦点到eqId19a4eb16029e4550a14f2afe4741a3c3的一条渐近线的距离分别为eqIda2a0ce3781fa4c26b624f5966b7dee44eqId7bcd573cee334383ad72cc4b179fcfb3,则eqId19a4eb16029e4550a14f2afe4741a3c3的方程为(   )
A.eqIda9f465d6a4f04a358eaf8bfea615c387B.eqIdb0c1ce39923d4bed9facd6970f8772da
C.eqIdfb71bb42332e427bbfddce4bb058ea76D.eqId77f0d42a3e9a4223a32b7a7e4b3e8e7c
9 . 抛物线eqId9101ccc6517f477db18cd52f341a8a15的焦点为eqId63db14a5b4334f3ea583c8fb12b0d175,其准线与双曲线eqIdfcc99b9ab9124e21be008e7304ff1cca有两个交点eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5c,若eqId1c5831c8b9a240f4b0c792701c6498ba,则双曲线的离心率为_______.
10 . 某双曲线两条渐近线的夹角为eqId43059a1babed4850ab90728e475e4ce1,则该双曲线的离心率为(   ).
A.eqId317ed84d205b4156847380f7e9f38b08B.eqIda2a0ce3781fa4c26b624f5966b7dee44C.2D.eqId9a19f81624ec431494b1feeb88f12bdf
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