名校
1 . 选修4-4:坐标系与参数方程
在平面直角坐标系
中,已知曲线
(
为参数)与曲线
(
为参数),且曲线
与
交于
两点,以原点
为极点,
轴的正半轴为极轴建立极坐标系
(Ⅰ)求曲线
的极坐标方程;
(Ⅱ)直线
绕点
旋转
后,与曲线
分别交于
两点,求
.
在平面直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2beb91f10d2d8f2aa0dcc3f5cd1598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b6b665bb69c805f82b688fcb4da4a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3161a34809ebcb8c8c95e72f9bcb1afa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb6101e45f8d7013bc3dc4197188c0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6acfc9319b4dfcefd8f0bb0338f7cbf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c17ca68fac997aec7dd0e3369c647eb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(Ⅰ)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45149907ab07d14405ccb282ceed9eac.png)
(Ⅱ)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae7a3e520a16d4fdd73c4e6a4ce7be0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de12bbd5097debc83d6a46364589748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45149907ab07d14405ccb282ceed9eac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eab4cf09670861e61d67cbe70bb149a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8738960cfe0607cea6f66e9d3b972214.png)
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2018-05-21更新
|
1001次组卷
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4卷引用:2020届湖北名师联盟高三上学期第一次模拟考试数字(文)试题
2 . 在直角坐标系
中,曲线
,曲线
为参数),以坐标原点
为极点,以
轴正半轴为极轴,建立极坐标系.
(1)求曲线
的极坐标方程;
(2)已知射线
与曲线
分别交于点
(异于原点
),当
时,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2beb91f10d2d8f2aa0dcc3f5cd1598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0f535307e000e5d0a84a4591287e874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44adb8317a1211ff301b5f059e832fde.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/45149907ab07d14405ccb282ceed9eac.png)
(2)已知射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/033dbbff7632d89f5d7726009c42be37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45149907ab07d14405ccb282ceed9eac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ecdae00f4e7c0a32253054cba55d626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b2a8c80bc574fc27cb32dcb06c6679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcee8aae60b5f5511fe1d9312eeccc89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034f97296a43e3f5bf4c0fa52b44ab7d.png)
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名校
3 . 在直角坐标系
中,曲线
(
为参数且
),其中
,在以
为极点,
轴正半轴为极轴的极坐标系中,曲线
.
(1)求
与
交点的直角坐标;
(2)若
与
相交于点A,
与
相交于点
,求当
时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7795aec93c2c7ac2fd93e6747ca6516c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fc6a3cb8bb9c7624228a71f8495925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/823ab696d27d40920c39b8c910789380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9c89eab34f319912ed5efb3f6f4592c.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/f6f30b5666f9236f69384bed04180618.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
(2)若
![](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/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3164bcab789a19e14691d1fc7847d72a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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名校
4 . [选修4—4:坐标系与参数方程选讲]
已知曲线C的极坐标方程为
,以极点为平面直角坐标系的原点,极轴为x轴的正半轴建立平面直角坐标系.
(1)求曲线C的普通方程;
(2)A,B为曲线C上两点,若OA⊥OB,求
的值.
已知曲线C的极坐标方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67be204c3b674c53e95b50691fc15191.png)
(1)求曲线C的普通方程;
(2)A,B为曲线C上两点,若OA⊥OB,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb8956ebcde7cf0f1011a2fc1888e15.png)
您最近一年使用:0次
2017-03-01更新
|
1529次组卷
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11卷引用:湖北省八校2018届高三上学期第一次联考(12月)数学(文)试题
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5 . 在直角坐标系
中,圆
和
的参数方程分别是
(
为参数)和
(
为参数),以
为极点,
轴的正半轴为极轴建立极坐标系.
(1)求圆
和
的极坐标方程;
(2)射线
:
与圆
的交点为
,与圆
的交点为
,求
的最大值.
![](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/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a58be4b1224e9168875ea5dae5c8abe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdf2b4b99f6e7c8d325cb0599bff506a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/418665300687b1f7f6295aa839d69822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44b753df138f019ba979ce287e1f86a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba77bd1209feb4d1702a0cf11fb8ccbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3668b55ec6c015b1afe1aabb38392a35.png)
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2016-12-04更新
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4卷引用:2017届湖北襄阳五中高三上学期开学考数学(理)试卷