组卷网>高中数学综合库>平面解析几何>圆锥曲线>双曲线>双曲线的离心率>求双曲线的离心率或离心率的取值范围
题型:单选题 难度:0.65 引用次数:77 更新时间:2021/1/16 22:46:04 题号:12867448
已知eqId5f04473e64c141bcbe9b0a8af27f4aa8是双曲线eqId2d7f901abc9c4822b5cf720c352ca413的左、右焦点,过eqId0aa72756ed0c4c7a89f26aa94f43e47d且垂直于eqIda9cd3f94eb8045438f75e9daccfa7200轴的直线与双曲线交于eqIdeb53cb7cb0274f7d8f111c60f824c243两点,若eqId59297415787c4fe698150fe68c3757d4是锐角三角形,则双曲线的离心率的取值范围是(   )
A.eqId68f73587123947aba24aeda2e00fec2cB.eqId36f0e589039540d48e840c8a56bc1265C.eqId0a9c574a94b844f59f9c9ac383dfb457D.eqIdfcdb695a54bd4cd1a21409f45dd0a71d

类题推荐

单选题 | 一般(0.65) |
【推荐1】已知双曲线eqId19a4eb16029e4550a14f2afe4741a3c3eqId0f14428848fa4e8cbdaccdcb9711090d的左、右焦点分别为eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e,过右焦点eqIdde963a24921f4ee7a991bf9d4f43a42e作其渐近线的垂线,垂足为eqId2381423d4cd146cab95f55527681a766,交双曲线eqId19a4eb16029e4550a14f2afe4741a3c3右支于点eqIdbedf755e0fdb4d078d6859360706b163,若eqIdf692d666fd5a4a7a906833038ff57696,且eqId2d0a3c6eb2a14b439d782407e355903f,则双曲线eqId19a4eb16029e4550a14f2afe4741a3c3的离心率为
A.eqId611d188c5f51433484033ec4dba90dadB.eqIda35cf66775a24732b08dc411968e2420C.eqIda2a0ce3781fa4c26b624f5966b7dee44D.eqId7bcd573cee334383ad72cc4b179fcfb3
更新:2019/03/25组卷:579
单选题 | 一般(0.65) |
解题方法
【推荐2】已知中心在原点,焦点在eqIda9cd3f94eb8045438f75e9daccfa7200轴上的椭圆与双曲线有公共焦点,左、右焦点分别为eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e,且两条曲线在第一象限的交点为eqIdbedf755e0fdb4d078d6859360706b163eqIdd1c30bd1c3b246e88de244167e5276c8是以eqId4e9298e5793044298b0a19e648ca34af为底边的等腰三角形,若eqIdb6349a1b2eb044a09d01a34746d9bd5e,椭圆与双曲线的离心率分别为eqIde4725638eeb347868ba8b6f8dd047e30eqId995e0865ec2840f1a51e3635ece970d5,则eqId1554bf7a36ed4345894a7ca7eba51735的取值范围是(   )
A.eqIdb2f697e40ea34cb098a1a61badfcfba1B.eqIde294a246312747b18e7bb3bb843c3955C.eqIdc08f25901d0e4002b8cf51f14e90c427D.eqId364d8f05335a4bdbbfdfc6b62629213c
更新:2021/01/17组卷:15
单选题 | 一般(0.65) |
【推荐3】已知eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e为双曲线的焦点,过eqIdde963a24921f4ee7a991bf9d4f43a42e作垂直于实轴的直线交双曲线于eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5c两点,eqIde22d1ac0330e469dbe61e46f27ab93eb交虚轴于点eqId19a4eb16029e4550a14f2afe4741a3c3,若eqId46e654f6517f46fab207056c96704209,则双曲线的离心率为(   )
A.eqId317ed84d205b4156847380f7e9f38b08B.eqIda2a0ce3781fa4c26b624f5966b7dee44C.eqId2644c4fd7d684e75ae5ed93cb3581244D.eqId7bcd573cee334383ad72cc4b179fcfb3
更新:2020/01/14组卷:193
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