1 . 在平面直角坐标系
中,曲线
的极坐标方程为
,直线
的参数方程为
(
为参数).
(1)写出曲线
的直角坐标方程;
(2)已知点
,直线
与曲线
相交于
两点,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/20d7fd29e407caca2902956fdca99ad7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/023abd9413bd2d14bd3077ae34d3c7a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(1)写出曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dbcf0320d94734aedd3d4e2e31b9827.png)
![](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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf2d50a03130b0d6036f8354b81b7243.png)
您最近一年使用:0次
2022-07-25更新
|
612次组卷
|
3卷引用:安徽省滁州市全椒县第八中学2022届高三下学期调研卷理科数学试题(一)
名校
2 . 在平面直角坐标系xOy中,直线l的参数方程为
(t为参数),以坐标原点O为极点,x轴的正半轴为极轴建立极坐标系,曲线C的极坐标方程为
.
(1)求l的极坐标方程与C的参数方程;
(2)点A的直角坐标为(2,0),l与C交于M,N两点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aefe540e20884a91c672aeadfc2f604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32451d9b080eea350b3bb55d298f63a3.png)
(1)求l的极坐标方程与C的参数方程;
(2)点A的直角坐标为(2,0),l与C交于M,N两点,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb4f909fb9d074ec227594dd6cbc4ce.png)
您最近一年使用:0次
3 . 在直角坐标系xOy中,曲线
的参数方程为
(t为参数),以坐标原点为极点,x轴正半轴为极轴建立极坐标系,曲线
的极坐标方程为
.
(1)求曲线
的普通方程和
的直角坐标方程;
(2)已知点
,曲线
与
相交于A,B两点,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42c4150acac7a65fb7230d0c2f1825d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3678e9a029f02ba6fc63469ae9568049.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f921535f4e76b80130976dcb9202bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3371afe42800f23fd9b933d6e4f5c56.png)
您最近一年使用:0次
2022-05-07更新
|
632次组卷
|
4卷引用:安徽省马鞍山市2022届高三下学期第三次教学质量监测文科数学试题
安徽省马鞍山市2022届高三下学期第三次教学质量监测文科数学试题安徽省马鞍山市2022届高三下学期第三次教学质量监测理科数学试题(已下线)押全国卷(文科)第22题 坐标系与参数方程-备战2022年高考数学(文)临考题号押题(全国卷)河南省南阳六校2023届高三上学期第一次联考理科数学试卷
4 . 在直角坐标系
中,以坐标原点O为极点,x轴正半轴为极轴建立极坐标系,曲线
的极坐标方程为
,曲线
的参数方程为
(
为参数).
(1)写出曲线
的直角坐标方程和曲线
的普通方程;
(2)已知点
,曲线
与曲线
相交于A、B两点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28bc32d85bda85d0c2bb9300bca5c8ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a4c4c9cf8f0bd3f84fdc5bae0aa65b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(1)写出曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e54822a1c8cd1ad8c5b84e1c33ed9bfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063f4f4ce1d9822e9d5144ca0fc83979.png)
您最近一年使用:0次
2022-04-09更新
|
835次组卷
|
3卷引用:安徽省宣城市2022届高三下学期第二次调研考试文科数学试题
5 . 在直角坐标系
中,点
是曲线
:
上的动点,满足
的点
的轨迹是
.
(1)以坐标原点
为极点,
轴的正半轴为极轴建立极坐标系,求曲线
,
的极坐标方程;
(2)直线
的参数方程是
(
为参数),点
的直角坐标是
,若直线
与曲线
交于
,
两点,当线段
,
,
成等比数列时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bac4d3d2be66e9f25b59e3a94f235e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eec446f3a2fac01d5248eb647307fd7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(1)以坐标原点
![](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/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d2a96aadf335a8f41365e0639358b48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2a5e336b6bcba6354fd366c892dd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d341082cc54b1cb7a790af9ec4a365d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084cf5ffced059f5653ee2a1023518b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18e49c41a2ee9a447d67f8e726a73460.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
您最近一年使用:0次
2021-06-04更新
|
793次组卷
|
8卷引用:安徽省宣城市郎溪县2021届高考仿真模拟考试数学(理)试题
名校
6 . 在平面直角坐标系
中,以原点为极点,
轴的非负半轴为极轴建立极坐标系,并在两个坐标系下取相同的长度单位,已知曲线
的参数方程为
(
为参数),直线
的参数方程为
(
为参数,
为直线
的倾斜角).
(1)求曲线
的普通方程;当
时,求直线
的极坐标方程;
(2)若曲线
和直线
交于
,
两点,且
,求直线
的倾斜角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.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/b2ad004146bd890d74838aa53898b882.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbb2ff3993c5effaadb9cfa5a94d17a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e2c8d466ab8eb5ecd38060b53bbe8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2289c94f0e4c8c7e3ff5783316bd4c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2021-05-28更新
|
1067次组卷
|
5卷引用:安徽省合肥市第五中学2022届高三一模理科数学试题
名校
7 . 在直角坐标系xOy中,曲线
的参数方程为
(t为参数),以坐标原点O为极点,x轴的正半轴为极轴建立极坐标系,曲线
的极坐标方程为
.
(1)当
时,求
和
的直角坐标方程;
(2)当
时,
与
交于A,B两点,设P的直角坐标为(0,1),求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b77b096da2571a146a185fd4f6280d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e4960d9eb090463e083b76e4760f0b0.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e69866076dcff686a05e9e91e61e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063f4f4ce1d9822e9d5144ca0fc83979.png)
您最近一年使用:0次
2021-03-09更新
|
1829次组卷
|
10卷引用:安徽省江南十校2021届高三下学期3月一模联考理科数学试题
安徽省江南十校2021届高三下学期3月一模联考理科数学试题安徽省江南十校2021届高三下学期3月一模联考文科数学试题(已下线)专题37 仿真模拟卷03-2021年高考数学(理)二轮复习热点题型精选精练(已下线)重组卷01-冲刺2021年高考数学(理)之精选真题+模拟重组卷(新课标卷)江西省抚州市临川第一中学2021届高三5月模拟考试数学(文)试题河南省新安县第一高级中学2021届高三下学期二练热身练数学(文)试题四川省泸州市老窖天府中学2021-2022学年高三上学期10月月考数学试题四川省泸州市天府老窖中学2021-2022学年上学期高三第一次月考文科数学试题四川省成都市第七中学2022-2023学年高三上学期阶段性考试数学试题河南省南阳市2020-2021学年高二下学期期末数学文科试题
8 . 在极坐标系中,曲线C的极坐标方程为
,点P的极坐标为
,以极点为坐标原点,极轴为x轴正半轴,建立平面直角坐标系.
(1)求曲线C的直角坐标方程和点P的直角坐标;
(2)已知直线
(t为参数),若直线l与曲线C的交点分别是A、B,求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95777c97cd8a69c05fb01595918f4c1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/955acb6d8b6eabcd2b67fbc1d422c288.png)
(1)求曲线C的直角坐标方程和点P的直角坐标;
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4edabccbaab030776928b29578e67d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559d66fd8b309fd440ce9bda78a579c9.png)
您最近一年使用:0次
2021-02-01更新
|
1313次组卷
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11卷引用:安徽省淮南市2020-2021学年高三一模数学(理)试题
安徽省淮南市2020-2021学年高三一模数学(理)试题安徽省淮南市2020-2021学年高三一模数学(文)试题安徽省淮南市2021届高三下学期一模理科数学试题(已下线)安徽省合肥市2021届高三下学期第二次教学质量检测理科数学试题安徽省淮南市2021届高三下学期一模文科数学试题(已下线)专题29 坐标系与参数方程(解答题)-2021年高考数学(理)二轮复习热点题型精选精练(已下线)专题27 坐标系与参数方程(解答题)-2021年高考数学(文)二轮复习热点题型精选精练四川省绵阳中学2024届高三上学期第二次月考数学(文科)试题新疆乌苏市第一中学2020-2021学年高二3月月考数学试题江西省兴国县第三中学2020-2021学年高二下学期第三次月考数学(兴国班)试题四川省成都市第十二中学2020-2021学年高二下学期期中数学试题
名校
9 . 在平面直角坐标系xOy中,曲线
的参数方程为
(t为参数),以O为极点,x轴的非负半轴为极轴建立极坐标系,曲线
的极坐标方程为
.
(1)求
的极坐标方程和
的直角坐标方程;
(2)设
与
交于P,Q两点,点
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6095af4a137b2328ce22ba39565f30c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a06fa3d1ed5bee747ffd62b1094053.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8748dc55e2f45bc37fc4d84d7310f79.png)
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2021-01-23更新
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2卷引用:安徽省六安市第一中学2020-2021学年高三上学期第五次月考数学(理)试题
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10 . 已知在极坐标系中,曲线
的极坐标方程为
.以极点为平面直角坐标系的原点,极轴为
轴的正半轴,建立平面直角坐标系,曲线
的参数方程为
(
为参数).
(Ⅰ)求曲线
的直角坐标方程和
的普通方程;
(Ⅱ)设曲线
与曲线
相交于
,
两点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e3cf5cb4be9c2d2fef460707c8cc58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39de5ec407da98911cdedf8ba5b03cb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(Ⅰ)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(Ⅱ)设曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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2020-10-25更新
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9卷引用:安徽省阜阳市太和第一中学2020-2021学年高三上学期二模数学(理)试题