组卷网>知识点选题>第九章 解析几何
显示知识点
显示答案
| 共计 20378 道试题
单选题 | 一般(0.65) | 2021·全国高三专题练习
解题方法
1 . 在对角线eqId4c9c008abbc84f388958d18db8b8584e的正方体eqId588284d93dc5489295f8f224f8e30d13中,正方形eqId50dcbbdb425943e8b5a0e6b8b508d09f所在平面内的动点eqIdbedf755e0fdb4d078d6859360706b163到直线eqIdc0cc73b9034f46ddbeeb31c6bf2c9e92eqId217b31a637024d738602e1fae687b78d的距离之和为eqIdddd35c5d043e4ebeac32a99367053c68,则eqIda91dd35203e4484b845b3ced0254465a的取值范围是(   )
A.eqIddc8e1a83f83243dea64742a746bd7672B.eqId2ed805d50c9a4deda071af71c424865eC.eqId17f90f6a17f04d9a937a2c9f884aa4b9D.eqIde59e765a9ec14fe58dc70f3a066ff9c4
单选题 | 一般(0.65) | 2021·全国高三专题练习
解题方法
2 . 已知AB是抛物线eqId6df614c562e5490e9f2f893e4d7e10d3的两点,eqId2efda802d5534f6d92d9f8af7aaec28b为坐标原点,若eqId57a53254595148abb12882e8b3ec0139eqIdb457f7d31e13466aa25edb4234fce91e的内心恰是此抛物线的焦点,则直线eqId99a3187c2b8f4bcc9703c74c3b72f1f3的方程是(   )
A.eqId0d17b06a7dda42988050712ec652d032B.eqIdf37d41c8343246cf9c732c2e09206d73
C.eqIdf939b9a25184466a86b80c56becab78aD.eqId9e3dd13bcefb4677abc7e02af8ffb4e5
3 . 已知eqId64b9b599fdb6481e9f8d9a94c102300b的内切圆的圆心eqId2e472e2834814474a91b8ffcdc28fbcfeqId072d7d6b911b42bc89207e72515ebf5f轴正半轴上,半径为eqId29c898c2f6d5480e84ed6cd0dfc0930b,直线eqId35d8f98c19114e239add6fc4e29695e6截圆eqId2e472e2834814474a91b8ffcdc28fbcf所得的弦长为eqId59d928c45fa24d7bb92cfe3cfe617ddd.
(1)求圆eqId2e472e2834814474a91b8ffcdc28fbcf方程;
(2)若点eqId19a4eb16029e4550a14f2afe4741a3c3的坐标为eqId741ddc06abe440a99f08c0f5c133883f,求直线eqIdcf2da96900c948a1b3ce7cbfd420c080eqId0627be51821d4be7b3e024a354815d64的斜率;
(3)若eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5c两点在eqIda9cd3f94eb8045438f75e9daccfa7200轴上移动,且eqId76506bf6b8b6420b9affc7fb39b26b35,求eqId64b9b599fdb6481e9f8d9a94c102300b面积的最小值.
解答题 | 一般(0.65) | 2021·全国高三专题练习
4 . 已知直线l过点eqIdf408ea19507c4b8faa5c6b1cd42758c5,并且点eqIdc4aa996227f343ab9385153a2ab645c8和点eqIde4c47840ac79438db024fd5f0cb44c6b到直线l的距离相等,求直线l的方程.
解答题 | 较难(0.4) | 2021·全国高三专题练习
解题方法
5 . 已知椭圆eqId0a98e105289741f793e67becd040401c及其上的点eqIdf9cea718ca9f4298bc25a063e2d1211b.若直线eqId417e80f1349244878d01fe90e0891f5f交椭圆于AB两点,直线eqIdd3a908032e2b40df95a6d86089b3f682eqId0fd9ac73d66042c6bbd74f8ccdcbd9fc的斜率为eqIdd4bf9298f0db4fb5afb67e0d739f3074eqId6c0092504cfe40d9aabfd290b17dc3b6eqIdbb37914056284ebca3be3e21c1ff2c7d,2,eqId439f4186402747ad9edbdd99aaf605e1成等差数列,求△eqIda5e988d8b88e45129e56675560a4ea90的面积的最大值.
解答题 | 一般(0.65) | 2021·全国高三专题练习
解题方法
6 . 过椭圆eqIda951f134ca9c4951947b42bf481d9241的左焦点eqId0aa72756ed0c4c7a89f26aa94f43e47d作一直线交椭圆于PQ两点,A为椭圆的右顶点,求eqId830caba9a03f420189527f5218ed95d7面积的最大值.
解答题 | 较难(0.4) | 2021·全国高三专题练习
解题方法
7 . PQMN四点都在椭圆eqId1f2c4f36fc90433e8c7fb977bad97345上,F为椭圆在y轴上的焦点.已知eqId906897bd72b5489db8b1a88aab2764b0eqId45aa5bad1020413c8d75d1af32e1819f共线,eqId8657758347984ac79fd733770a5834b4eqIda74144b946af4a25904700a73209046b共线,且eqIdfaa634e9831e414ba566ad4054f282e4,求四边形eqId4c30f3f9c9574605ac9074dd045ebfa1的面积的最小值和最大值.
解答题 | 一般(0.65) | 2021·全国高三专题练习
解题方法
8 . 设eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e是椭圆eqId15ddf0bba96b4162a10a0bab1fd8a511的左、右焦点,弦eqId99a3187c2b8f4bcc9703c74c3b72f1f3eqIdde963a24921f4ee7a991bf9d4f43a42e,求eqId937353dd4a3440099a5734703a4d6bf7面积的最大值.
10 . 双曲线eqId0f14428848fa4e8cbdaccdcb9711090d的一条渐近线方程是eqIdbb3d6c58b53a4f54ab143af8631452f4,坐标原点到直线eqId99a3187c2b8f4bcc9703c74c3b72f1f3的距离为eqId6b2724baa0064c51b2ba39f5b281a1eb,其中eqId46e05b9e276240ae9e27d7a378812081eqIdc5d54b5d87d844678167faa9bd17b613.
(1)求双曲线的方程;
(2)若eqIde660daa143d5431e96530c61b610d572是双曲线虚轴在eqId072d7d6b911b42bc89207e72515ebf5f轴正半轴上的端点,过点eqId8754ce8cf7f34f04abb9a0c041f57f5c作直线交双曲线于点eqId2e472e2834814474a91b8ffcdc28fbcfeqId517584fed25c413ba8b7bb33ffa2d5c6,求eqIde9ad768a89b344b8a5a675cce4e8c855时,直线eqId876037be016c4316885be871978f005b的方程.