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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.
3 . 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.
4 . 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.
5 . 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.
7 . 已知曲线eqId19a4eb16029e4550a14f2afe4741a3c3的极坐标方程为eqId33312e4be2b94a8aaaf364666aabdd26,点eqIdd65805361da5481bb7670e89555e89d3eqId73bd354ad8c44353a051ca4895390edbeqIdc61af9056e4148fd9287cf000b2c721a都在曲线eqId19a4eb16029e4550a14f2afe4741a3c3上.
(1)当eqId2a9c6904e3f34d91b7da3ca06c06c05e时,求直线eqId10381e9fca8b4095b66c934255c907b4的极坐标方程;
(2)以极点eqId2efda802d5534f6d92d9f8af7aaec28b为坐标原点,极轴为eqIda9cd3f94eb8045438f75e9daccfa7200轴的正半轴,建立平面直角坐标系.当eqId2381423d4cd146cab95f55527681a766eqId19a4eb16029e4550a14f2afe4741a3c3上运动时,求eqId7f2462dce9654597939aaa12d29d62b4的取值范围.
解答题 | 一般(0.65) | 2021·江西高二期末(理)
8 . 已知函数eqId0a743c103c8e41669eb6654355e5ea9e,函数eqId4bf368ac95cf4d929833d04304412945
(1)当eqId23ea4783585b4c719f3296631ee6eade时,求不等式eqId502640d344474fdd8c352a93a2d27165的解集;
(2)若函数eqId6f13759e937144069819aed2ae5a1057的图象恒在函数eqIdfcaf3bbe14e548cc8d47beb2467db5a0图象的上方,求实数eqIda4be99d332154d13a4a6ed1ff6444fe7的取值范围.
9 . 已知曲线eqIdcfc8599bedfb4ab4944abf141f348a9aeqId758e25060e8d40e0852fd1ee236716a4eqId69f56ef2c88b4b73a560da59f5247a82为参数),曲线eqId3a63d00111554b9e8b896929779a293deqId35d223ade1954f1981be9deecdb6d950
(1)求eqIdcfc8599bedfb4ab4944abf141f348a9a的普通方程与eqId3a63d00111554b9e8b896929779a293d的直角坐标方程;
(2)若曲线eqIdcfc8599bedfb4ab4944abf141f348a9a与曲线eqId3a63d00111554b9e8b896929779a293d交于eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6两点,交eqIda9cd3f94eb8045438f75e9daccfa7200轴于点eqIdbedf755e0fdb4d078d6859360706b163,求eqIdf6f0c520999d499cb568474c6469ca0e的值.
10 . 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.
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