组卷网>知识点选题>利用消参法进行参数方程与普通方程的互化
显示答案
| 共计 958 道试题
1 . 曲线eqId19a4eb16029e4550a14f2afe4741a3c3的参数方程为eqId9c198aab1d324148b145499e8f13488beqId69f56ef2c88b4b73a560da59f5247a82为参数),则eqId19a4eb16029e4550a14f2afe4741a3c3的普通方程为(   )
A.eqId3bea3539f54e4157b1f44d26d669263fB.eqId1f2c4f36fc90433e8c7fb977bad97345
C.eqId2335471ac1c0464aa701142b0ed2ae3fD.eqIde4df5fcaa13946ad8f90d908fb31a133
2 . 已知经过点eqId29080c91a1b44f30aa5d9bc21982c0f4的直线eqId417e80f1349244878d01fe90e0891f5f的倾斜角为eqId9e7f9209cee04cdb9a06395310730b31,曲线eqIdcfc8599bedfb4ab4944abf141f348a9a的参数方程为eqIdbc9960ae338340968752b8a14f9b33edeqId6c9518e43fd5459798a30cfc10026e3c为参数),直线eqId417e80f1349244878d01fe90e0891f5f与曲线eqIdcfc8599bedfb4ab4944abf141f348a9a交于eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5c两点.
(1)求曲线eqIdcfc8599bedfb4ab4944abf141f348a9a的普通方程及直线eqId417e80f1349244878d01fe90e0891f5f的参数方程;
(2)求eqId51f1ba44123f4fa9b3b071efe519e6b7的值.
3 . 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.
4 . 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.
7 . 在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,曲线C的参数方程为eqId1a98f0d692a541999ca7f629486473aeeqIdc13953f2514e4c8f9c8aaaf5241c33ac为参数)以原点O为极点,x轴的正半轴为极轴建立极坐标系.
(1)求曲线C的极坐标方程;
(2)射线eqId2cd7d3ac3ce849c295ad6c7918b2a262和射线eqIdb42bc0ae85294d1f9e6800ac7c568097C的交点分别为AB,求eqIddf1261303406416b95167db34b378716的面积.
8 . 在直角坐标系eqId2272a344734c4fb088737b84294f7219中,曲线eqIdcfc8599bedfb4ab4944abf141f348a9a的参数方程为eqIdd384b12ad2f8425295495ba1100df1eft为参数),以原点为极点,x轴的正半轴为极轴建立极坐标系,曲线eqId3a63d00111554b9e8b896929779a293d的极坐标方程为eqIdb3b0e15b548749e1a44728a6bd2adbe9
(1)求曲线eqIdcfc8599bedfb4ab4944abf141f348a9a的普通方程和曲线eqId3a63d00111554b9e8b896929779a293d的直角坐标方程;
(2)若P的直角坐标为eqIdafed4da885124e6a9b4b7e8d5053b1e3,曲线eqId3a63d00111554b9e8b896929779a293d与曲线eqIdcfc8599bedfb4ab4944abf141f348a9a交于AB两点,求eqId52afd667d68143f0bc9493b8f64c358b的值.
9 . 已知在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,曲线eqId19a4eb16029e4550a14f2afe4741a3c3的参数方程为eqId3013d766df584cf2bce3399786bd33e8eqIdc13953f2514e4c8f9c8aaaf5241c33ac为参数),以eqIda9cd3f94eb8045438f75e9daccfa7200轴的非负半轴为极轴,原点eqId2efda802d5534f6d92d9f8af7aaec28b为极点建立极坐标系,两种坐标系中取相同的长度单位,若直线eqId746c351b0b7f4ee5b26a7c0fecde9db1eqIdba783035977c4a9d84e49682db59947ceqId71258cbb50764a33ac847e605aeb8b91分别与曲线eqId19a4eb16029e4550a14f2afe4741a3c3相交于eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5c两点(eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5c两点异于坐标原点).
(1)求曲线eqId19a4eb16029e4550a14f2afe4741a3c3的极坐标方程与eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5c两点的极坐标;
(2)求直线eqId99a3187c2b8f4bcc9703c74c3b72f1f3的极坐标方程及eqIdb457f7d31e13466aa25edb4234fce91e的面积.
3道题,平均难度一般 清空试题 进入组卷中心
收起