组卷网>知识点选题>公式法进行极坐标(方程)与直角坐标(方程)的互化
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1 . 已知直线eqIdcb408cdb9cd04b05bef100061f2c1430t为参数),曲线eqIdf691fdb4529a438aa01bf89b3da55acc
(1)求直线eqIdcfc8599bedfb4ab4944abf141f348a9a的普通方程与曲线eqId3a63d00111554b9e8b896929779a293d的直角坐标方程;
(2)求直线eqIdcfc8599bedfb4ab4944abf141f348a9a被曲线eqId3a63d00111554b9e8b896929779a293d所截得的弦长.
2 . 在直角坐标系eqId2272a344734c4fb088737b84294f7219中,曲线eqIdcfc8599bedfb4ab4944abf141f348a9a的参数方程为eqId499a4e7712ff4daaba5c36c7cd0c24b2为参数eqId51b1e1fb7fad4469a130db04370eed25eqIdcfc8599bedfb4ab4944abf141f348a9a上的动点,eqIdbedf755e0fdb4d078d6859360706b163点满足eqId9086963da7644f6c91c8d2084d312d6d,点eqIdbedf755e0fdb4d078d6859360706b163的轨迹为曲线eqId3a63d00111554b9e8b896929779a293d.
(1)求eqId90ca37a991ea41b9b37efa5afeb14a91的极坐标方程;
(2)在以eqId2efda802d5534f6d92d9f8af7aaec28b为极点,eqIda9cd3f94eb8045438f75e9daccfa7200轴的正半轴为极轴的极坐标系中,射线eqIdb42bc0ae85294d1f9e6800ac7c568097eqIdcfc8599bedfb4ab4944abf141f348a9a的异于极点的交点为eqId052844cae8574a8ab842c38a039baac0,与eqId3a63d00111554b9e8b896929779a293d的异于极点的交点为eqId8754ce8cf7f34f04abb9a0c041f57f5c,求eqId4819509fefec4542acccfcf3d67cd699.
3 . 在直角坐标系eqId2272a344734c4fb088737b84294f7219中,直线eqIdcfc8599bedfb4ab4944abf141f348a9a的参数方程为eqId16b3ac5ca5754c86b9fb038bc50a0561(其中eqId69f56ef2c88b4b73a560da59f5247a82为参数).以坐标原点eqId2efda802d5534f6d92d9f8af7aaec28b为极点,eqIda9cd3f94eb8045438f75e9daccfa7200轴非负半轴为极轴建立极坐标系,曲线eqId3a63d00111554b9e8b896929779a293d的极坐标方程为eqId2518c3e929b749af902fd77ff6e2094b
(1)求eqIdcfc8599bedfb4ab4944abf141f348a9aeqId3a63d00111554b9e8b896929779a293d的直角坐标方程;
(2)设定点eqId36549e9eac35406780cb4574095b3ff0,直线eqIdcfc8599bedfb4ab4944abf141f348a9a交曲线eqId3a63d00111554b9e8b896929779a293deqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5c两点,求eqId85137889b7ce42fab4cd6e31bb8feabe的值.
4 . 在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,曲线eqIdcfc8599bedfb4ab4944abf141f348a9a的参数方程为eqId025ba8d246ad426eab2556ea64f8f29c,(eqIdc13953f2514e4c8f9c8aaaf5241c33ac参数),以eqId2efda802d5534f6d92d9f8af7aaec28b为极点,eqIda9cd3f94eb8045438f75e9daccfa7200轴正半轴为极轴建立极坐标系,曲线eqId3a63d00111554b9e8b896929779a293d的极坐标方程为eqIda7f32577c0e54c9987927909ae2183d5.
(1)求曲线eqIdcfc8599bedfb4ab4944abf141f348a9a的普通方程即曲线eqId3a63d00111554b9e8b896929779a293d的直角坐标方程;
(2)若eqIdb689beb5d29347f8aefde3ccf12c69be,当曲线eqIdcfc8599bedfb4ab4944abf141f348a9a与曲线eqId3a63d00111554b9e8b896929779a293d有两个公共点时,求eqId69f56ef2c88b4b73a560da59f5247a82的取值范围.
5 . 在直角坐标系eqId2272a344734c4fb088737b84294f7219中,直线eqId417e80f1349244878d01fe90e0891f5f的参数方程为eqId53433fccbada449eae921e3be496f736eqId69f56ef2c88b4b73a560da59f5247a82为参数),以坐标原点为极点,以eqIda9cd3f94eb8045438f75e9daccfa7200轴正半轴为极轴,建立极坐标系,曲线eqId19a4eb16029e4550a14f2afe4741a3c3的极坐标方程为eqIdc863af411b6a452b89ac9b8c543a2592
(1)求直线eqId417e80f1349244878d01fe90e0891f5f的普通方程和曲线eqId19a4eb16029e4550a14f2afe4741a3c3的直角坐标方程;
(2)设点eqId25e81b8bd3424e438ace3b13a1b3b419,直线eqId417e80f1349244878d01fe90e0891f5f与曲线eqId19a4eb16029e4550a14f2afe4741a3c3交于eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5c两点,求eqId25482fe47390438b886681159300cc3a的值.
6 . 在直角坐标系eqId2272a344734c4fb088737b84294f7219中,直线eqId417e80f1349244878d01fe90e0891f5f的参数方程为eqId84fa6e0112bc4400a2d498107f44be57(eqId69f56ef2c88b4b73a560da59f5247a82为参数),以坐标原点eqId2efda802d5534f6d92d9f8af7aaec28b为极点,eqIda9cd3f94eb8045438f75e9daccfa7200轴的正半轴为极轴建立极坐标系,曲线eqId19a4eb16029e4550a14f2afe4741a3c3的极坐标方程为eqId1f59f1b713f64a0f8e064763dad90964.
(1)求直线eqId417e80f1349244878d01fe90e0891f5f的普通方程和曲线eqId19a4eb16029e4550a14f2afe4741a3c3的直角坐标方程;
(2)若直线eqId417e80f1349244878d01fe90e0891f5f与曲线eqId19a4eb16029e4550a14f2afe4741a3c3交于eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6两点,设eqId7063803412cd4003948673a35fd10874,求eqIdf6f0c520999d499cb568474c6469ca0e的值.
填空题 | 一般(0.65) | 2021·全国高三专题练习
10 . 在极坐标系中,点eqId2c81022965c44cf59fec2d4b4301fcf9到直线eqIdc8fe6df7390641e3bed4c9d011d4af83的距离为_______
更新:2021/07/30组卷:0
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