组卷网>知识点选题>直接法求直线方程
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1 . 已知四边形eqId5ce7a06ae7a34393b92b5277978ac014是平行四边形,eqId3ce7665100834dddab52d1a8c2881473eqIda45750ccb9654816b6f9a1545b71e2dceqId75b12c8d6499453db27356f9478d4e78 ,且eqId93cbffaa5ae045d6ac45d1e979991c3a为线段eqId34c6b6e427744abfb88dc90b8c7c2111的中点.
(1)求线段eqId34c6b6e427744abfb88dc90b8c7c2111的垂直平分线eqId74c7e0292b094e54ae596d37798a05ed的方程;
(2)直线eqId439fb93f7745417b8bb1747d963c6e60经过点eqId0cd8063abf2b458f80091bc51b75a904,且eqIdb0ab6a14fc704522a3cc95dc055a9523,求eqId439fb93f7745417b8bb1747d963c6e60eqId072d7d6b911b42bc89207e72515ebf5f轴上的截距.
2 . 数学家欧拉在eqIdbf236225c6b24a6eafea083e28865599年发现,任意三角形的外心、重心、垂心在同一条直线上,这条直线称为“欧拉线”.已知eqId64b9b599fdb6481e9f8d9a94c102300b的顶点eqId6f417c44c1e74c8a89ca068bfe3595a7eqId5d6c2cb909ff4feb93483240c6f0f925,其“欧拉线”的直线方程为eqIde346783907434485a70c4254255f5ed0,则eqId64b9b599fdb6481e9f8d9a94c102300b的顶点eqId19a4eb16029e4550a14f2afe4741a3c3的坐标_______.
解答题 | 较易(0.85) | 2021·贵州铜仁市·高一期末
3 . 已知eqId64b9b599fdb6481e9f8d9a94c102300b的顶点坐标为eqId3e79b620506b4c768d0fcf9788d9449ceqId5e3f7132e0864c30bb70ba99d3184d13eqIdc4e6c54d4a504ca9aec31ddb0ea77c47
(1)试判断eqId64b9b599fdb6481e9f8d9a94c102300b的形状;
(2)求eqIdcf2da96900c948a1b3ce7cbfd420c080边上的高所在直线的方程.
单选题 | 容易(0.94) | 2021·四川眉山市·高一期末(文)
4 . 过点eqId0b2ba9f92d6940e7a239c34cca645de7且倾斜角为eqIda13dda07decc42a2a581c90ac2391eab的直线方程为(   )
A.eqIdf88b7ff63b904583a376c6d747d367e8B.eqId69201fad037b4b468096df447034dee7
C.eqId738fee97e02844a69bd2ad19ee68ac9bD.eqIdaf0b8183b9c3415e8012bebda4f58607
单选题 | 较易(0.85) | 2021·湖南娄底一中高二期中
6 . 已知直线eqId417e80f1349244878d01fe90e0891f5f经过点eqId368e044eb8b14b19b5725a4022161087,且与直线eqId1cc9431d278a4206a83c036aae33c812垂直,则eqId417e80f1349244878d01fe90e0891f5f的方程为(   )
A.eqId7b7b25da7add4791bdd91bc72f1154deB.eqIdddd8ff137a4c44f6b1431f69337c7014C.eqIdf5e6489b5539403db78162d891843f27D.eqId9fe44020680d4ab6863bcccef3b9e7dc
单选题 | 较易(0.85) |
7 . 数学家欧拉在1765年提出定理:三角形的外心、重心、垂心依次位于同一直线上,且重心到外心的距离是重心到垂心距离的一半,这条直线被后人称之为三角形的欧拉线.已知eqId64b9b599fdb6481e9f8d9a94c102300b的顶点eqId6f417c44c1e74c8a89ca068bfe3595a7eqId5d6c2cb909ff4feb93483240c6f0f925eqIdd97c7f4988a04f639f6be97a82879c99,则eqId64b9b599fdb6481e9f8d9a94c102300b的欧拉线方程为(   )
A.eqIdcf0af1df038d40eba844310e5dfec6b5B.eqId2bcc055edd404ec3b3b754d8e66fa697
C.eqId5a8d66e432ac4409b447a7d9ee2d923cD.eqIdfb37d062a0574ddd8a62acd5261ea33d
更新:2021/07/27组卷:60
填空题 | 容易(0.94) | 2020·贵州省铜仁第一中学高一期末
8 . 过点eqId051265dd9ca643e597231d3100e8c2cd且倾斜角为eqId236bfe74f1024849b3818a5cd741f299的直线方程是_______.
解答题 | 较易(0.85) | 2021·宁夏吴忠中学高一期末
9 . (1)直线eqId417e80f1349244878d01fe90e0891f5f经过两直线eqId62d7a6a1e3fb4e548a154f6f6dae62b9eqIdc65811dfa8f04917a61d56b98186874f的交点,且直线eqId417e80f1349244878d01fe90e0891f5f与直线eqId3bf747ce041348e987ba2b0b03e17167垂直,求直线eqId417e80f1349244878d01fe90e0891f5f的方程;
(2)已知以eqId6baaf70d86a5411aa0bd72a63b94da23为圆心的圆与圆OeqId037f417f9f6d431081173d5123598dcc相切,求圆eqId19a4eb16029e4550a14f2afe4741a3c3的方程.
解答题 | 一般(0.65) | 2021·青铜峡市高级中学高一期末
10 . 已知斜率为eqId938dc4f994b64d75b1ac6c5a7a121864的直线eqId417e80f1349244878d01fe90e0891f5f过点eqId4339c68eb516439582c21a9d8a062ed9,圆eqId4f1d62dfd0514be28513c3858bb56194eqId417e80f1349244878d01fe90e0891f5f交于eqId71891062a8724584af9a2c4c77cd566e两点,线段eqId876037be016c4316885be871978f005b中点是eqId75a143b898e14ccdb032561fba9da811
(1)若eqId922bf12421b3422c93a719f7819b54ac,求eqId75a143b898e14ccdb032561fba9da811坐标
(2)若直线eqId35305ab6c78f42c987bd6480e13a224b与直线eqId417e80f1349244878d01fe90e0891f5f交点是eqIdbedf755e0fdb4d078d6859360706b163,那么eqIdc7eb4eb3ff9f448a9e690acf800426dc是否为定值?如果是,求出定值;如果不是,说明理由.
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