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eqId2f65359250334464951edb78bca50055”是“eqIdb8bb672b651146c1897ebcf908773475”的(   )条件
A.充分不必要B.必要不充分
C.充分必要D.既不充分也不必要
更新:2020/2/21难度:0.85题型:单选题组卷:0
已知eqIdc9a1976ae2ea413fa3ddd9af076ff01d,eqId10798089e05b47d4bb58a4f562d6acf7,则下列等式一定成立的是(    )
A.eqId6710748f35754ef294dd0a675b3a8190B.eqId992f634d4b6b4a5cb3b2e290d253123cC.eqId90eda456b5a44da29ca431b1c9ab7b3fD.eqId729793609f2344a699924efff285bab1
更新:2020/2/21难度:0.94题型:单选题组卷:0
已知eqIdc9a1976ae2ea413fa3ddd9af076ff01d,则“eqId142fb6f8712a4e04a73b56741b7207aa”是“eqId02cd67b4eb1f45a2a43394c8e2cdfa61”的(    )
A.充分而不必要条件B.必要而不充分条件
C.充分必要条件D.既不充分又不必要条件
更新:2020/2/21难度:0.94题型:单选题组卷:0
已知eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e是椭圆eqIdf18b5700afd748c9af08fbce0977010b的左、右焦点,过左焦点eqId0aa72756ed0c4c7a89f26aa94f43e47d的直线交椭圆于AB两点,且满足eqIdd6c0108fd7ad429db6ffa7a844c05194,则该椭圆的离心率是________.
更新:2020/2/21难度:0.65题型:填空题组卷:0
已知定点eqIdafba32bd3674457eb13f950741397020,圆eqId862a67282cae4e02affc79f32cd0fdd7,点eqId75a143b898e14ccdb032561fba9da811为圆eqId517584fed25c413ba8b7bb33ffa2d5c6上动点,线段eqId10a7e54dcd3f45feb36c6019ba40d64a的垂直平分线交eqId64f465cc033a42b59a01fed89886efca于点eqIdbedf755e0fdb4d078d6859360706b163,记eqIdbedf755e0fdb4d078d6859360706b163的轨迹为曲线eqId19a4eb16029e4550a14f2afe4741a3c3.
(1)求曲线eqId19a4eb16029e4550a14f2afe4741a3c3的方程;
(2)过点eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6作平行直线eqId74c7e0292b094e54ae596d37798a05edeqId439fb93f7745417b8bb1747d963c6e60,分别交曲线eqId19a4eb16029e4550a14f2afe4741a3c3于点eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c和点eqId0cd8063abf2b458f80091bc51b75a904eqId93cbffaa5ae045d6ac45d1e979991c3a,求四边形eqId3b970dd712b24810ac8d4cfcb34f5fe8面积的最大值.
更新:2020/2/21难度:0.65题型:解答题组卷:0
eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e为双曲线eqId58ecc109d7934cbb921c58754c302a4b左、右焦点,过eqIdde963a24921f4ee7a991bf9d4f43a42e的直线交双曲线左、右两支于点eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6,连接eqId17ab120dd1484145a133e6a409c8465ceqId787c930bf2444a04a01ddf78eb303883,若eqIdea8826cf633a497691b69bfe1db83b19,且eqIdb9be7c37abe443bbababc596307f0c4c,则双曲线的离心率为______.
更新:2020/2/21难度:0.65题型:填空题组卷:0
如图,在四棱锥eqIdac097205e9cb41279269aadcac3fb6f1中,四边形eqId5ce7a06ae7a34393b92b5277978ac014为矩形,平面eqId15440cee295147c8a2f06780ecb55130平面eqId5ce7a06ae7a34393b92b5277978ac014eqId93cbffaa5ae045d6ac45d1e979991c3aeqIda4133d812272499891a1f8813d5747f8中点,eqId6029e95bff6648cfb470ace83d9aef10.
figure
(1)求证:eqId7497cb285eaf4ef991d219359aad582f
(2)若eqId1b51efe7c2fa42748ac5a6be262e2fa4与平面eqId0902deb68f0b430f932caadd41cd761a所成的角为eqId5ad58f952a4542f689f5ee8aa9946f25,求二面角eqIdb6eb03d152ac4c3ebebad948c9e44626的大小.
更新:2020/2/21难度:0.65题型:解答题组卷:0
已知动圆eqId19a4eb16029e4550a14f2afe4741a3c3与圆eqId3678b709d1da4f219ff36d49ff24c2fa外切,又与直线eqId499de1fe82034616a18069816e30263d相切.设动圆eqId19a4eb16029e4550a14f2afe4741a3c3的圆心的轨迹为曲线eqId93cbffaa5ae045d6ac45d1e979991c3a.
(1)求曲线eqId93cbffaa5ae045d6ac45d1e979991c3a的方程;
(2)在eqId8e15963708e9415da25069fea5906e24轴上求一点eqIdbedf755e0fdb4d078d6859360706b163(不与原点重合),使得点eqIdbedf755e0fdb4d078d6859360706b163关于直线eqId051de20bc1a84059b5b75b38b736b3bf的对称点在曲线eqId93cbffaa5ae045d6ac45d1e979991c3a上.
更新:2020/2/21难度:0.65题型:解答题组卷:0
已知点eqId63db14a5b4334f3ea583c8fb12b0d175是双曲线eqIdca9bbb19cd4b49ae8f45dbf75ce5374c的左焦点,eqIdbedf755e0fdb4d078d6859360706b163eqId19a4eb16029e4550a14f2afe4741a3c3右支上一点.以eqId19a4eb16029e4550a14f2afe4741a3c3的实轴为直径的圆与线段eqId7b71ac6238b649bba16fd5463c7b0b56交于eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c两点,且eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c是线段eqId7b71ac6238b649bba16fd5463c7b0b56的三等分点,则eqId19a4eb16029e4550a14f2afe4741a3c3的渐近线方程为(   )
A.eqId2e3cec0f42a6443393c12db931993a91B.eqId76f9604ff40f4c5ea0f4bdd0f7304471C.eqId86a2bbca527d47c9ae6205984e489e43D.eqIdb3245cdb06b9495bbf35fd5be2c80fdb
更新:2020/2/21难度:0.65题型:单选题组卷:0
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