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| 共计 393 道试题
单选题 | 一般(0.65) | 2021·云南高二期末(文)
1 . 已知抛物线eqId0565c782a08244f29f1791c4d3049ac4的焦点为eqId63db14a5b4334f3ea583c8fb12b0d175,抛物线eqId19a4eb16029e4550a14f2afe4741a3c3上一点A满足eqId5ca6b76bcfe642d8874c900b49dba3ec,则以点A为圆心,eqId211ab513a02842808eee31b029297b06为半径的圆被eqIda9cd3f94eb8045438f75e9daccfa7200轴所截得的弦长为(   )
A.1B.2C.eqId317ed84d205b4156847380f7e9f38b08D.eqId2644c4fd7d684e75ae5ed93cb3581244
2 . 抛物线eqId4cb5b1f296dd4d329771895d2608ff9b上纵坐标为2的点到焦点的距离5,则该抛物线的方程为(   )
A.eqId58f91701ddb947a08903f6637a86a92fB.eqId89d878a570404f8a96f2de5cfa3a0f08C.eqIddcd4380c728f43a495cce5036f34b97dD.eqId315104f1428448bcb50a91b96309800b
单选题 | 容易(0.94) | 2021·全国高三其他模拟(文)
解题方法
典型
4 . 已知抛物线eqIdd050af449075401299cc78c647d310e8的焦点为eqId63db14a5b4334f3ea583c8fb12b0d175,点eqId2381423d4cd146cab95f55527681a766在抛物线上,且eqId7295b4300d104c18b6ade88d85969774,则eqId2381423d4cd146cab95f55527681a766的横坐标为(   )
A.1B.eqId317ed84d205b4156847380f7e9f38b08C.2D.3
单选题 | 较易(0.85) | 2021·全国高三其他模拟(文)
解题方法
5 . 已知抛物线Cx2=8y的焦点是FABD是抛物线C上的点.若eqId16396ab536cf462399ed2cefb9763997的重心坐标为eqIdc0e49ba5f75344029339253a969abbd5,则|AF|+|BF|+|DF|=(   )
A.12B.15C.18D.21
填空题 | 较易(0.85) | 2021·全国高三其他模拟(理)
解题方法
6 . 已知抛物线eqId3477ff54feb441938401cf9259f785ee上一点eqId2381423d4cd146cab95f55527681a766到焦点eqId63db14a5b4334f3ea583c8fb12b0d175的距离等于eqIddc914faf97ab4aeba729b3ba487eb86f则直线eqIde6ca0f1d005f413b96cc48ecabad84f6的斜率为______________.
单选题 | 容易(0.94) | 2021·四川石室中学高二期中
解题方法
典型
7 . 已知eqId63db14a5b4334f3ea583c8fb12b0d175是抛物线eqIdd050af449075401299cc78c647d310e8的焦点,eqIdeb53cb7cb0274f7d8f111c60f824c243 是该抛物线上的两点,eqIdf559ba1e9e6c460ca3e4fee5b4142c27 则线段eqId99a3187c2b8f4bcc9703c74c3b72f1f3的中点到eqId072d7d6b911b42bc89207e72515ebf5f轴的距离为(  )
A.eqId6b2724baa0064c51b2ba39f5b281a1ebB.eqId37705e1ef6a84bbdbe88433e75932cdfC.eqIdc052ddfbd4524f67a79e0e77c2e5656aD.eqId52ef9cda12e5410dafc3bfcf1840555b
8 . 已知平面上的线段eqId417e80f1349244878d01fe90e0891f5f及点eqIdbedf755e0fdb4d078d6859360706b163,任取eqId417e80f1349244878d01fe90e0891f5f上一点eqId75a143b898e14ccdb032561fba9da811,称线段eqId0743582db60f420c9cae978529e721bb长度的最小值为点eqIdbedf755e0fdb4d078d6859360706b163到线段eqId417e80f1349244878d01fe90e0891f5f的距离,记作eqIded465eb5548443489573e85781e257c6.已知线段eqId1b1a66552db9466a9ef4a913c70f0ab8eqId3fe3281e90d84cb2aecc29bf314f493f,点eqIdbedf755e0fdb4d078d6859360706b163为平面上一点,且满足eqIda63e287f31bc4389bde3af173f56526a,若点eqIdbedf755e0fdb4d078d6859360706b163的轨迹为曲线eqId19a4eb16029e4550a14f2afe4741a3c3eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5c是第一象限内曲线eqId19a4eb16029e4550a14f2afe4741a3c3上两点,点eqIdf0403540b98e4021b9f9357f430a2844eqIda9af3ac297064be8b2069de4b4029019eqIdb9c862b2f72d492ca284053feb3a5d20,则(   )
A.曲线eqId19a4eb16029e4550a14f2afe4741a3c3关于eqIda9cd3f94eb8045438f75e9daccfa7200轴对称B.点eqId052844cae8574a8ab842c38a039baac0的坐标为eqId716f4dafb0c34123b4bf3cb96fbd35ce
C.点eqId8754ce8cf7f34f04abb9a0c041f57f5c的坐标为eqIdc085a0e837be490c9bb550754a46e3beD.eqId3af749bd6029406aae8a6a10124bb098的面积为eqIda379f50083284d3e94c4b56bdb0b6b65
9 . 已知抛物线y2=4xF是抛物线的焦点,直线l与抛物线交于AB两点,若|AF|+|BF|=6,则线段AB中点的横坐标为___________.
填空题 | 较难(0.4) | 2021·江苏盐城中学高三其他模拟
解题方法
压轴
10 . 已知抛物线eqId7e148e9b5def4bf1af4353dbf1ccc544的焦点eqId63db14a5b4334f3ea583c8fb12b0d175到其准线的距离为4,圆eqIddeaa2279ebaa46dc8e3fb59e1bfb11d1,过eqId63db14a5b4334f3ea583c8fb12b0d175的直线eqId417e80f1349244878d01fe90e0891f5f与抛物线eqId19a4eb16029e4550a14f2afe4741a3c3和圆eqId2381423d4cd146cab95f55527681a766从上到下依次交于eqId7a4f8efdd08f479e8cc6e27a25b5ea45四点,则eqIdd69e982bd420413dbf2150871545121b的最小值为_________.
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