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在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,曲线eqId19a4eb16029e4550a14f2afe4741a3c3的参数方程为eqId784995eb159d410c90f9e90f7531ccfaeqId1e21d7f6c8094395841863b900ef27b8eqId145940d03af4447eabd753d76abd2a1d为参数),以坐标原点eqId2efda802d5534f6d92d9f8af7aaec28b为极点,eqIda9cd3f94eb8045438f75e9daccfa7200轴正半轴为极轴建立极坐标系,直线eqId417e80f1349244878d01fe90e0891f5f的坐标方程为eqId16a62459ca5841a28f947d5f5b88c451,若直线eqId417e80f1349244878d01fe90e0891f5f与曲线eqId19a4eb16029e4550a14f2afe4741a3c3相切.
(1)求曲线eqId19a4eb16029e4550a14f2afe4741a3c3的极坐标方程;
(2)在曲线eqId19a4eb16029e4550a14f2afe4741a3c3上取两点eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6于原点eqId2efda802d5534f6d92d9f8af7aaec28b构成eqIdd86a6c119c92471ab14226acb268c5f4,且满足eqIdd7e47f606ac946b3bf556d0e6a4faecf,求面积eqIdd86a6c119c92471ab14226acb268c5f4的最大值.
更新:2020/09/17 |题型:解答题 |组卷:2263|引用[17]
在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,已知直线eqId83604a8bccb74330aa114f6b5cb85f67,以原点为极点,eqIda9cd3f94eb8045438f75e9daccfa7200轴正半轴为极轴建立极坐标系,圆eqId19a4eb16029e4550a14f2afe4741a3c3的极坐标方程为eqId275ce029abf94fd5ba3147f907cfe7d2
(1)求直线eqId417e80f1349244878d01fe90e0891f5f的极坐标方程和圆eqId19a4eb16029e4550a14f2afe4741a3c3的直角坐标方程;
(2)射线eqIdd12efd47bc3a44c79492c247eb8a286b交圆eqId19a4eb16029e4550a14f2afe4741a3c3eqId2efda802d5534f6d92d9f8af7aaec28beqIdcc614bd3390c4d028df189b234dcc351,交直线eqId417e80f1349244878d01fe90e0891f5feqId8754ce8cf7f34f04abb9a0c041f57f5c,若eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c两点在eqIda9cd3f94eb8045438f75e9daccfa7200轴上投影分别为eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6,求eqId996e2048847f41d5a5fe0e2282909254长度的最小值,并求此时eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c两点的极坐标.
在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,曲线eqIdcfc8599bedfb4ab4944abf141f348a9a的参数方程为eqId37a705f314454fdab8e92602d1f980ebeqIdc13953f2514e4c8f9c8aaaf5241c33ac为参数),直线eqId3a63d00111554b9e8b896929779a293d 的方程为eqIdbb3d6c58b53a4f54ab143af8631452f4以坐标原点eqId2efda802d5534f6d92d9f8af7aaec28b为极点,eqIda9cd3f94eb8045438f75e9daccfa7200轴的正半轴为极轴建立极坐标系.
(1)求曲线eqIdcfc8599bedfb4ab4944abf141f348a9a和曲线eqId3a63d00111554b9e8b896929779a293d的极坐标方程;
(2)若直线eqId3a63d00111554b9e8b896929779a293d与曲线eqIdcfc8599bedfb4ab4944abf141f348a9a交于eqIdcc614bd3390c4d028df189b234dcc351,eqId8754ce8cf7f34f04abb9a0c041f57f5c两点,求eqIdb15c9db31c004771812b8226d3cef8f8.
更新:2020/09/17 |题型:解答题 |组卷:296|引用[16]
已知曲线eqId19a4eb16029e4550a14f2afe4741a3c3的极坐标方程是eqId53b1e4adc06c4469a8d3f92fb26b96d2.以极点为原点,极轴为eqIda9cd3f94eb8045438f75e9daccfa7200轴的正半轴,建立平面直角坐标系,直线eqId417e80f1349244878d01fe90e0891f5f过点eqId25e81b8bd3424e438ace3b13a1b3b419,倾斜角为eqIda21b55ef906e44cfb9b58adef59456de.
(1)求曲线eqId19a4eb16029e4550a14f2afe4741a3c3的直角坐标方程与直线eqId417e80f1349244878d01fe90e0891f5f的参数方程;
(2)设直线eqId417e80f1349244878d01fe90e0891f5f与曲线eqId19a4eb16029e4550a14f2afe4741a3c3交于eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c两点,求eqId389d1e4fdba54e719dec61257b2d7fec.
已知直线eqId417e80f1349244878d01fe90e0891f5f经过点P(1,1),倾斜角eqId4e348d0ccfec4f97bff00ea815e55584
(1)写出直线eqId417e80f1349244878d01fe90e0891f5f的参数方程;
(2)设eqId417e80f1349244878d01fe90e0891f5f 与圆eqId1d8bc76d53144aa0b9d9f747186b2976 相交于两点A,B,求点P到A,B两点的距离之积.
已知以原点为极点,x轴的正半轴为极轴建立极坐标系,曲线eqIdcfc8599bedfb4ab4944abf141f348a9a的极坐标方程为eqId292c001991c6458697b87503785929fd,曲线eqId29e34a07c6964f10927c9f99b6402cf2eqId50619b805a9743fe980db51e08985a46为参数).
(1)求曲线eqIdcfc8599bedfb4ab4944abf141f348a9aeqId3a63d00111554b9e8b896929779a293d的直角坐标方程;
(2)若点eqId82aad14fec694021b376c6e62d9c29e9分别在曲线eqId6da1bd1333304a87b0395f18308b8557上运动,试求出eqId4eeb399976fc4d00a5d54aaf750ff661的最小值.
将圆eqId1d8bc76d53144aa0b9d9f747186b2976上的点的横坐标保持不变,纵坐标变为原来的一半,所得曲线的方程为_________.
在平面直角坐标系xOy中,已知直线l的的参数方程为eqId662b0a145a63481e83a9d98098ec6866t为参数)直线l与抛物线eqIdd050af449075401299cc78c647d310e8相交于AB两点.
(1)写出直线l的普通方程;
(2)求线段AB的长.
将下列曲线的极坐标方程直接写出直角坐标方程、参数方程化为直角坐标方程.
(1)eqId275ce029abf94fd5ba3147f907cfe7d2
(2)eqIdcb7570352ce94a3c8dfd9b0b140d3380
(3)eqId9e820b8f15dd45598757c7f46a0c0f60eqId50619b805a9743fe980db51e08985a46为参数)
(4)eqId1d87277b6c4b44c0a1b3f14e6bc876cdeqId69f56ef2c88b4b73a560da59f5247a82为参数)
在直角坐标系eqIdcca735109ec84175aa7067c550082194中,倾斜角为eqIdc13953f2514e4c8f9c8aaaf5241c33ac的直线eqId417e80f1349244878d01fe90e0891f5f的参数方程为eqId9863086cc93542538c770862347566aaeqId69f56ef2c88b4b73a560da59f5247a82为参数).在以坐标原点为极点,eqIda9cd3f94eb8045438f75e9daccfa7200轴正半轴为极轴的极坐标系中,曲线eqId19a4eb16029e4550a14f2afe4741a3c3的极坐标方程为eqIdfeafbaf3eced4080a0e9ccd6ec9d6413.
(1)求直线eqId417e80f1349244878d01fe90e0891f5f的普通方程与曲线eqId19a4eb16029e4550a14f2afe4741a3c3的直角坐标方程;
(2)若直线eqId417e80f1349244878d01fe90e0891f5f与曲线eqId19a4eb16029e4550a14f2afe4741a3c3交于eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c两点,且eqIdc0708237ba7c4d768aa3bd267f986854,求直线eqId417e80f1349244878d01fe90e0891f5f的倾斜角.