1 . 在平面直角坐标系中,曲线
(
为参数)的普通方程为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287ce4cf120fbaecda3646a2bf76ba53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2016-12-03更新
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2167次组卷
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2卷引用:2014年全国普通高等学校招生统一考试文科数学(湖南卷)
2 . 已知直线
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,曲线
的极坐标方程为
,则直线
与曲线
的公共点的极径![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b30db97c39edcede2f0e7d4e075fecec.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a224f76f47be651d650b3bfd659f08e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.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/55b04a8bc34a439cfe6c2652576bbeae.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/b30db97c39edcede2f0e7d4e075fecec.png)
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真题
3 . 在以
为极点的极坐标系中,圆
和直线
相交于
两点.若
是等边三角形,则
的值为___________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69cf89e94eb51129f144d9809ec290f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f115fcdbb4cd854459811dfb8deb3e5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2016-12-03更新
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2337次组卷
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4卷引用:2014年全国普通高等学校招生统一考试理科数学(天津卷)
真题
解题方法
4 . 在平面直角坐标系中,
为原点,
动点
满足
=1,则
的最大值是_________ .
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571783531233280/1571783537033216/STEM/0525caa41d3b45aebebafe1e32500fa7.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571783531233280/1571783537033216/STEM/65b27f42a42d482594651183f73c8f14.png?resizew=165)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571783531233280/1571783537033216/STEM/578231ecc53744118ee829fe9cd28869.png?resizew=17)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b23168de61460a0bd15624fd5a634d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2fe5586f74518e063736d730a24ff93.png)
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2016-12-03更新
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3351次组卷
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2卷引用:2014年全国普通高等学校招生统一考试理科数学(湖南卷)
真题
5 . 在平面直角坐标系中,倾斜角为
的直线
与曲线
,(
为参数)交于
、
两点,且
,以坐标原点
为极点,
轴正半轴为极轴建立极坐标系,则直线
的极坐标方程是________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aa42b56b1c92689a080b58cb603a642.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8159c7f3b7eca77f1bbd59a26967bad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d1a34ae2b8c77f8d7e355c6d1d667e.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/cd8f34f2048a0eece64a4bbbc11da7c4.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)
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6 . 已知曲线
的参数方程是![](https://img.xkw.com/dksih/QBM/2014/6/20/1571783122010112/1571783127826432/STEM/89c6ba84d3f54f179565ca9a89170322.png?resizew=65)
,以坐标原点为极点,
轴的正半轴为极轴建立极坐标系,曲线
的极坐标方程是
,则
与
交点的直角坐标为__________ .
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571783122010112/1571783127826432/STEM/217078c3cad943fdbee11a6b7a9c4392.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571783122010112/1571783127826432/STEM/89c6ba84d3f54f179565ca9a89170322.png?resizew=65)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571783122010112/1571783127826432/STEM/1d11b6bb592548de87603b799a26b340.png?resizew=65)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571783122010112/1571783127826432/STEM/823a790b0fdb4988a8f2a7649674cb64.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571783122010112/1571783127826432/STEM/34c11a7a04a048bcb0034449dbdcc8c0.png?resizew=20)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571783122010112/1571783127826432/STEM/7f5bb329950c461a9ee660f0caa6107f.png?resizew=40)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571783122010112/1571783127826432/STEM/217078c3cad943fdbee11a6b7a9c4392.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571783122010112/1571783127826432/STEM/34c11a7a04a048bcb0034449dbdcc8c0.png?resizew=20)
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7 . 已知两曲线参数方程分别为
(0≤θ<π)和
(t∈R),它们的交点坐标为_______ .
![](https://img.xkw.com/dksih/QBM/2014/6/5/1571758919565312/1571758925135872/STEM/fc0431c990fb485eacee5defef5d41e4.png?resizew=90)
![](https://img.xkw.com/dksih/QBM/2014/6/5/1571758919565312/1571758925135872/STEM/c340b43af5ba4f378b7760f7dc9717db.png?resizew=57)
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8 . 在直角坐标系xOy中,以原点O为极点,x轴的非负半轴为极轴建立极坐标系.若极坐标方程为
的直线与曲线
(t为参数)相交于A,B两点,则|AB|=___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6bd917b760cafb3ea66ad761a00e16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/781359d72c0a062a769641238b5a4c21.png)
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9 . (坐标系与参数方程选做题)在平面直角坐标系xOy中,曲线C1与C2的参数方程分别为
(t为参数)和
(θ为参数),则曲线C1与C2的交点坐标为___________ .
![](https://img.xkw.com/dksih/QBM/2014/5/30/1571743572148224/1571743577776128/STEM/c05a65e8e99a4e3d846ef86f6250d7ac.png?resizew=48)
![](https://img.xkw.com/dksih/QBM/2014/5/30/1571743572148224/1571743577776128/STEM/b91d5d661ee445c69125f8911f9dfeb9.png?resizew=90)
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真题
10 . 参数方程为
(
为参数)的曲线的焦点坐标为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323260a0a21e4326e367486fa5456a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2016-12-03更新
|
1933次组卷
|
3卷引用:2013年普通高等学校招生全国统一考试文科数学(陕西卷)