组卷网>知识点选题>利用自变量范围求离心率范围
显示知识点
显示答案
| 共计 28 道试题
填空题 | 较难(0.4) | 2021·全国高三专题练习(理)
1 . 已知椭圆eqId211c15b061ee47039dccbca908ea32b4的左、右焦点分别为eqId5f04473e64c141bcbe9b0a8af27f4aa8,过原点的直线与C交于AB两点(A在第一象限),若eqId0ebe0d83b5c24598bf6b54527bff18ad,且eqId2f65f62d74ad4ba1b4a4fe779698aace,则椭圆离心率的取值范围是___________.
填空题 | 一般(0.65) | 2021·四川成都·(文)
3 . 已知椭圆eqId19a4eb16029e4550a14f2afe4741a3c3eqIdf18b5700afd748c9af08fbce0977010b的左、右焦点分别为eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e,若椭圆eqId19a4eb16029e4550a14f2afe4741a3c3上存在点eqId2381423d4cd146cab95f55527681a766使三角形eqId2e119959bc854680bbd3f11d6d553bc7的面积为eqId56507c36ff5f423faef9347b000a56e3,则椭圆eqId19a4eb16029e4550a14f2afe4741a3c3的离心率eqIdf035b8f27d4645bb9f6a66f4a3f51918的取值范围是______.
4 . 椭圆eqId15bfbddeee0143e08c809ecf76ffb129的两个焦点为eqIdaeb6a178ce91414698205c4929210bfeeqId485707b3f4094f2aaddd48ff054d78a4eqId2381423d4cd146cab95f55527681a766是椭圆上一点,满足eqId4f612645b1864a36bc09fb1331c08e3e,则离心率eqIdf035b8f27d4645bb9f6a66f4a3f51918的取值范围是___________.
5 . 已知椭圆eqId9026e6d24e404bb2808fe83705f83954的左右焦点分别为F1F2,离心率为e,若椭圆上存在点P,使得eqIda5b27a812be244a487494784b29b82dc则该离心率e的取值范围是(   )
A.eqId1c6b7a1b5a3d4e97b6d4226ffa3d2698B.eqIdc93ce9b7d99447bda122e260643e615eC.eqId503800fdbd3b414ba6c72b4e3fcae106D.eqIdc6b03d0a659e4b6dbb327c97dc60c0e0
单选题 | 一般(0.65) | 2020·安徽宣城·(文)
6 . 已知椭圆eqIdf18b5700afd748c9af08fbce0977010b上一点eqIdcc614bd3390c4d028df189b234dcc351关于原点的对称点为点eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId63db14a5b4334f3ea583c8fb12b0d175为其右焦点,若eqId27575ef8e17f47e38bef8e606b45c3a3,设eqIdb1aa421d275b4ccba2b7cac336773a9a,且eqId281c6109588d489496accd9ba0f15547,则该椭圆的离心率eqIdf035b8f27d4645bb9f6a66f4a3f51918的取值范围是(   )
A.eqIdc759858597ad4ce5aaf9fbe7a6eaac36B.eqId45ac580738a746588ba3047540b0bae6C.eqIdb228c320af6a4129ad27548574e2c5e7D.eqId1988684d73034eba965fc518a85d7c8e
7 . 已知有公共焦点的椭圆与双曲线中心为原点,焦点在eqIda9cd3f94eb8045438f75e9daccfa7200轴上,左、右焦点分别为eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e,且它们在第一象限内的交点为eqIdbedf755e0fdb4d078d6859360706b163eqId4cd2c77f45b74c709061330d26be4e39是以eqIdf95334ee237f468eb6f7b97d394bd72d为底边的等腰三角形且eqIdb41b5336398c42b1abfdc7c1e0d16fc4,若双曲线的离心率取值范围为eqId2a6e89b520864fe4a669b07e045fe467,则椭圆的离心率的取值范围是____________.
填空题 | 较易(0.85) | 2021·北京平谷·
8 . 设以原点为圆心的圆与eqIda9cd3f94eb8045438f75e9daccfa7200轴交eqIdeb53cb7cb0274f7d8f111c60f824c243两点,如果以eqIdeb53cb7cb0274f7d8f111c60f824c243为焦点的椭圆eqIdf18b5700afd748c9af08fbce0977010b与圆总有公共点,那么椭圆的离心率取值范围是__________.
双空题 | 一般(0.65) | 2021·江苏高二期末
9 . 已知双曲线eqId8dd33fddb8044d5ea612c55ff145ae10的上、下焦点分别为eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e,过eqId0aa72756ed0c4c7a89f26aa94f43e47d且垂直于y轴的直线与C 交于AB两点,直线eqIdc15e066ad1de447fbfd798b8a945f52ceqId078a55bed08847b4b2fa537fd90d14d4分别交x轴于点CD,若eqId5e3eb7bb4459438c849608b79b04ec1b,则过点eqIda4706decc8d34c83b83f3c9e7512a7cfeqId43e9fcd05dfa40f8ab5c7569ca826d0f的直线的斜率的最大值为_________.此时双曲线的离心率为_________.
10 . 已知椭圆eqIdfd8674e21002436f9476310a52d934ec的右焦点为eqId63db14a5b4334f3ea583c8fb12b0d175,上顶点为eqId8754ce8cf7f34f04abb9a0c041f57f5c,直线eqId2200d9ac310c484eb7e1dee61c5cde52与椭圆eqId19a4eb16029e4550a14f2afe4741a3c3交于不同的两点eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6,满足eqIda10cf6aeb68a48c1b3d1075994300438,且点eqId8754ce8cf7f34f04abb9a0c041f57f5c到直线eqId417e80f1349244878d01fe90e0891f5f的距离不小于eqId5f816d038c584dc7a249120298677ef3,则离心率eqIdf035b8f27d4645bb9f6a66f4a3f51918的取值范围是(    )
A.eqIdd24645da0c9b424082866aec1df8c0d0B.eqId93d0795bf9ea41a2864698d7ab125570C.eqId70e6c3520a51468489b383b5919ec8b7D.eqId7b09ec2b31634ba9a598e501c55262af
首页 上一页 1 2 3 下一页末页共3页 跳转到:  页