组卷网>知识点选题>转化与化归思想
显示答案
| 共计 706 道试题
解答题 | 一般(0.65) | 2020·天津高三二模
解题方法
1 . 已知椭圆eqIddea2714cfe984323977f11c744ee6adb上的点到它两个焦点的距离之和为4,以椭圆eqId19a4eb16029e4550a14f2afe4741a3c3的短轴为直径的圆eqId2efda802d5534f6d92d9f8af7aaec28b经过两个焦点,点eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5c分别是椭圆eqId19a4eb16029e4550a14f2afe4741a3c3的左、右顶点.
(Ⅰ)求圆eqId2efda802d5534f6d92d9f8af7aaec28b和椭圆eqId19a4eb16029e4550a14f2afe4741a3c3的方程;
(Ⅱ)设eqIdbedf755e0fdb4d078d6859360706b163eqId75a143b898e14ccdb032561fba9da811分别是椭圆eqId19a4eb16029e4550a14f2afe4741a3c3和圆eqId2efda802d5534f6d92d9f8af7aaec28b上的动点(eqIdbedf755e0fdb4d078d6859360706b163eqId75a143b898e14ccdb032561fba9da811位于eqId072d7d6b911b42bc89207e72515ebf5f轴两侧),且直线eqId0743582db60f420c9cae978529e721bbeqIda9cd3f94eb8045438f75e9daccfa7200轴平行,直线eqId6dc069fc1fa74d889be09b5324e7e625eqId98607c0b5c594f5f8410e5f50df09a51分别与eqId072d7d6b911b42bc89207e72515ebf5f轴交于点eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6,试判断eqId56ce370b694b4e9f9de361c44d7076bdeqId52b3806427e347a2a5548e83b06b4ed4所在的直线是否互相垂直,若是,请证明你的结论;若不是,请说明理由.
解答题 | 一般(0.65) | 2020·湖南师大附中高二期末
2 . 设椭圆eqIdcb94200200f74d65ac6c5aa8bd8a33d7的左、右焦点分别为eqId34044ed636f540b09516bc500d4a0929eqId8aadad7ddbe34a02bef720def0fb11f7,点eqId981c5002c6db49bc8660e5ca5a729a70在椭圆eqId93cbffaa5ae045d6ac45d1e979991c3a上.
(1)求椭圆eqId93cbffaa5ae045d6ac45d1e979991c3a的方程;
(2)过点eqId0aa72756ed0c4c7a89f26aa94f43e47d的直线eqId417e80f1349244878d01fe90e0891f5f与椭圆eqId93cbffaa5ae045d6ac45d1e979991c3a相交于eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6两点,求eqId458c5fe248e3487e9041ac9a2834d42b内切圆面积的最大值.
单选题 | 困难(0.15) | 2021·浙江高二期末
3 . 已知平面向量eqIdbf80e33f8af0497793eeb1eb2a0e416eeqId26d0383ebc3f44c2984e80b88390a5f5eqIdb7c6d8371b09414d839ebda7276899f4,满足eqId88916a87f3c24051a5ea87fb706ef842eqId2d00cd09f8364482bd92cdf46c89fd47对任意实数eqId5f420ef2d0b94c4b8a5d8e20a5d1ce2c恒成立,eqId32c568add12c4938b01b94e834b56afe,则eqId3ce64840485248afbce62a7fab7ec02b的最大值为(   )
A.eqId3e1543ad0883432cb23af678b3feacf4B.eqIdd9e91bfe768c49809cb32553f32342b3C.eqId2a52181409344f2abd5de5a5c701b406D.eqIdc907a26ce5f34922831efcdf616e5200
4 . 已知双曲线eqId24f04fa0265e47d4b3ee4c188a9504d7的右焦点为FeqIdc2063464908a458eaf99396512493486,直线MFy轴交于点N,点P为双曲线上一动点,且eqIde0751ddc5ada4759978ec5c60ec5b467,直线MP与以MN为直径的圆交于点MQ,则eqId40ddd2cec0a5424585859859cd2eb913的最大值为(   )
A.48B.49C.50D.42
5 . 在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,已知抛物线eqIde73f68c98d7c4129b2a24eed090438df的焦点为eqId63db14a5b4334f3ea583c8fb12b0d175,准线为eqId417e80f1349244878d01fe90e0891f5f,过点eqId63db14a5b4334f3ea583c8fb12b0d175且斜率大于0的直线交抛物线eqId19a4eb16029e4550a14f2afe4741a3c3eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5c两点(其中eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5c的上方),过线段eqId99a3187c2b8f4bcc9703c74c3b72f1f3的中点eqId2381423d4cd146cab95f55527681a766且与eqIda9cd3f94eb8045438f75e9daccfa7200轴平行的直线依次交直线eqId8d993281f7114ae6aedf55eb22e7d4bdeqIdbdb9b3ab33a542d9b1aefcf002989543eqId417e80f1349244878d01fe90e0891f5f于点eqIdbedf755e0fdb4d078d6859360706b163eqId75a143b898e14ccdb032561fba9da811eqId517584fed25c413ba8b7bb33ffa2d5c6.则(   )
A.eqIdefe58538223a4fba93f0ae0c51e77715
B.若eqIdbedf755e0fdb4d078d6859360706b163eqId75a143b898e14ccdb032561fba9da811是线段eqId876037be016c4316885be871978f005b的三等分点,则直线eqId99a3187c2b8f4bcc9703c74c3b72f1f3的斜率为eqId2644c4fd7d684e75ae5ed93cb3581244
C.若eqIdbedf755e0fdb4d078d6859360706b163eqId75a143b898e14ccdb032561fba9da811不是线段eqId876037be016c4316885be871978f005b的三等分点,则一定有eqId7c20d9d55b5049bab5ef936d2f0a9857
D.若eqIdbedf755e0fdb4d078d6859360706b163eqId75a143b898e14ccdb032561fba9da811不是线段eqId876037be016c4316885be871978f005b的三等分点,则一定有eqId1034e83b72924867b469662db7fb8a3a
6 . 已知抛物线eqId93cbffaa5ae045d6ac45d1e979991c3aeqId5a534d071c714e48a66feab47a9a1783的焦点为eqId63db14a5b4334f3ea583c8fb12b0d175,点eqIdbedf755e0fdb4d078d6859360706b163eqId93cbffaa5ae045d6ac45d1e979991c3a上,直线eqId417e80f1349244878d01fe90e0891f5feqIdc14739b2ae5b4fde972e08210a7f67d5eqId93cbffaa5ae045d6ac45d1e979991c3a相离.若eqIdbedf755e0fdb4d078d6859360706b163到直线eqId417e80f1349244878d01fe90e0891f5f的距离为eqId0beafc0779aa41fdb343d52e98143a82,且eqId47c4d78ccb9d41cca6d48bfe43427652的最小值为eqIda153c848bd2847b4a61b1487a5a5079b.过eqId93cbffaa5ae045d6ac45d1e979991c3a上两点eqIdeb53cb7cb0274f7d8f111c60f824c243分别作eqId93cbffaa5ae045d6ac45d1e979991c3a的两条切线,若这两条切线的交点eqId2381423d4cd146cab95f55527681a766恰好在直线eqId417e80f1349244878d01fe90e0891f5f上.
(1)求eqId93cbffaa5ae045d6ac45d1e979991c3a的方程;
(2)设线段eqId99a3187c2b8f4bcc9703c74c3b72f1f3中点的纵坐标为eqId5f904d1376ac4de7a7d6cfea92ff6981,求证:当eqId5f904d1376ac4de7a7d6cfea92ff6981取得最小值时,eqIdf89946fd8e004faa9f1e3c3e5363e0da
填空题 | 一般(0.65) | 2021·珠海市第二中学
解题方法
7 . 已知抛物线eqId294af0137a7a4b2f873817ba8fbafb44,圆eqId00606555f24640859b3694a5fa5f1a5eeqId072d7d6b911b42bc89207e72515ebf5f轴相切,斜率为eqId4d2187284c5d4de29906363f7d21f60f的直线过抛物线的焦点与抛物线交于eqId052844cae8574a8ab842c38a039baac0eqId0cd8063abf2b458f80091bc51b75a904两点,与圆交于eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3两点eqId67eb6f5ad32f47c29ca85f7fe642d472eqId8754ce8cf7f34f04abb9a0c041f57f5c两点在eqIda9cd3f94eb8045438f75e9daccfa7200轴的同一侧),若eqId4f8a4603ae854f84b26b505613f22c36,则eqId4d2187284c5d4de29906363f7d21f60f的值为___________.
填空题 | 一般(0.65) | 2021·河南高三月考(理)
解题方法
8 . 已知点P在抛物线eqId7e7bcc83ecb348fd9d08ba66222c0b13上,直线PAPB与圆eqId12355ea9490d4e9e84cd79678961ff7e相切于点AB,且PAPB,若满足条件的P点有四个,则m的取值范围是___________
单选题 | 一般(0.65) |
解题方法
9 . 已知点P为椭圆,eqIdb2b517718ab9488e80c7a13540625ef2上的一个动点,过点P作圆eqId9633ed124b9443bab46dab59547856a9的一条切线,切点为A,则eqIdd9ff572aad514781b729ccfd62fbad4d的取值范围是(   )
A.eqId6a4eb58295474e0183b5665c8378ca88B.eqId7539e4817b954bc68f97bac375cef6b9C.eqId0bfc819f93d04a00b368dfbc036695bbD.eqId0844732b0b09418887a43e13a7cdf7bc
更新:2021/06/14组卷:115
3道题,平均难度一般 清空试题 进入组卷中心
收起