选修
坐标系与参数方程
已知直线
(
为参数)经过椭圆
(
为参数)的左焦点![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792968704/STEM/218f947de8db4f6585aaf13fb074e88e.png)
(1)求
的值;
(2)设直线
与椭圆
交于
、
两点,求
的最大值和最小值.
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792968704/STEM/78c0195f2d5e42e3b3ffa3879762eb08.png)
已知直线
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792968704/STEM/d8c3c11838ab4cd9bdad11483c2a6f15.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792968704/STEM/bbeed6809411417eb08849dbc0aecfbb.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792968704/STEM/d231ac1e055540d08f9853efc0f85a9c.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792968704/STEM/a62bf481366f4f93a71113e21326cd68.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792968704/STEM/218f947de8db4f6585aaf13fb074e88e.png)
(1)求
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792968704/STEM/28ebc66c1deb46cfb714a7ca574e40d1.png)
(2)设直线
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792968704/STEM/c237bcd3302e4529b3ff3d8b70333469.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792968704/STEM/f806e0a7962d492084d253a845c13c31.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792968704/STEM/014eaf9c4d114249b492b69b1bae5838.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792968704/STEM/c26dcbb833774a25860553b3caed9e82.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792968704/STEM/cd8f3340ede341409d76ea523a21738a.png)
更新时间:2016-12-03 23:46:57
|
相似题推荐
解答题-问答题
|
适中
(0.65)
【推荐1】在平面直角坐标系
中,曲线
的参数方程为
(
为参数),以坐标原点
为极点,
轴的正半轴为极轴建立极坐标系.
(1)求曲线
的极坐标方程;
(2)若直线
,
的极坐标方程分别为
,
,设直线
,
与曲线
的交点分别为
和
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede3172a0174e695365aecee67613f6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/468bb02be82f341b65bbebb522722466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04137bddfb03ec22489929d1042ef6c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef19f98e86ae7504671413780b3b1a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6544a7dd562c6cc0c9079d75c1bbfbd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
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解答题-问答题
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适中
(0.65)
【推荐2】选修4-4:坐标系与参数方程
在直角坐标系
中,曲线
的参数方程为
(
为参数),以坐标原点为极点,
轴正半轴为极轴建立极坐标系,直线
的极坐标方程为
,将直线
绕极点
逆时针旋转
个单位得到直线
.
(1)求
和
的极坐标方程;
(2)设直线
和曲线
交于
两点,直线
和曲线
交于
两点,求
的最大值.
在直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a6880447bba51e1e37515ec1712f908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7228c87e2f9dfcaa2fc2cda2a2002c47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9cda46e575acf64941ea0964b89ee99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc62c28c53286cd17e9eb997af7221.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a99d2c4a23825f62aadcc40822b5eb.png)
您最近一年使用:0次
解答题-问答题
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适中
(0.65)
【推荐3】在平面直角坐标系
中,曲线
的参数方程为
(
为参数),以原点
为极点,
轴的正半轴为极轴建立极坐标系,直线
的极坐标方程为
.
(1)当
时,判断直线
与曲线
的位置关系;
(2)若直线
与曲线
相交所得的弦长为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8032eaa7e044fb047db3c9c3ea570b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9f6daff0ea81025f23b0dec57a812c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e69866076dcff686a05e9e91e61e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
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适中
(0.65)
【推荐1】已知直线
在平面直角坐标系中经过点
,倾斜角
,在直角坐标系
中,若以
为极点,
轴正半轴为极轴建立极坐标系.圆
的极坐标方程为
.
(1)写出直线
的参数方程,并把圆
的极坐标方程化为直角坐标系下的普通方程;
(2)设
与圆
相交于A,B两点,且A,B的中点为M,求PM的长及
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f85f1a0c955c915aefe3fcdc9d7eed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4120436d6ff0c58109473edc068257c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a391f52e03e2710d111fbf0155282c87.png)
(1)写出直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7384b9afcef2d86a87eee0c66f383052.png)
您最近一年使用:0次
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适中
(0.65)
名校
【推荐2】在极坐标系中,曲线C的极坐标方程为
.以极点为原点,极轴为x轴的正半轴建立平面直角坐标系,直线l的参数方程为
(t为参数)
(1)若
,求曲线C的直角坐标方程以及直线l的极坐标方程;
(2)设点
,曲线C与直线
交于A、B两点,求
的最小值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cda90ec15c07139032c7fed43bcc385.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/527934d6606f7a0c1ceabcfed9aab682.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfc316f251b316a8a62c60017289cc80.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c285ae3a55fe03053b2a530959d0cfa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a430c41f782c5c12f68a49c5d0cb1ee2.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐3】选修4-4:坐标系与参数方程
在直角坐标系中,以坐标原点为极点,
轴正半轴为极轴建立极坐标系,圆
的方程为
,直线
的参数方程为
(
为参数,
为常数).
(1)写出圆
的极坐标方程;
(2)若
被圆
截得弦长为
,求
的斜率.
在直角坐标系中,以坐标原点为极点,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b582736db3f9fc492e5794d323fd87a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/261c6897dacd171eb2ac6aa27151c7a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(1)写出圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次