1 . 在极坐标系中,
为极点,曲线
上两点
、
对应的极角分别为
、
,则
的面积为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3dc2c09a9d082bf57a554a023a22096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
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2 . 已知椭圆
离心率为
,
为椭圆
的右焦点,
,
是椭圆
上的两点,且
.若
,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c7316976a221c051a2c14df80b1347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
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![](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/c5db41a1f31d6baee7c69990811edb9f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2023-04-15更新
|
911次组卷
|
5卷引用:浙江省湖州、衢州、丽水三地市2023届高三下学期4月教学质量检测(二模)数学试题
浙江省湖州、衢州、丽水三地市2023届高三下学期4月教学质量检测(二模)数学试题(已下线)专题07 平面解析几何(已下线)专题11 圆锥曲线(4大易错点分析+解题模板+举一反三+易错题通关)湖南省长沙市宁乡市第一高级中学2021届高三下学期第一次模拟考试数学试卷(已下线)信息必刷卷05(江苏专用,2024新题型)
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3 . 已知曲线
的极坐标方程为
,过极点
的直线
与曲线
交于
,
两点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff7d7e35d49c28899de3032a10b9794e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b1873d4df560275029bc4b819488b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff7d7e35d49c28899de3032a10b9794e.png)
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4 . 在极坐标系中,点(2,
)到直线
的距离为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f57db5711a74eb8cd45e21415fa819f.png)
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5 . 在极坐标系中,曲线
的极坐标方程为
,将曲线
绕极点O顺时针旋转
得到曲线
,射线
与曲线
和曲线
分别交于A,B两点(均异于极点O),则
等于___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdebedd02b4ea57f8562443742086d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b3372821f274d9c2e7c9f911bd5cf26.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/aaff41080fdea43eea7efedf9ebc1498.png)
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解题方法
6 . 在极坐标系中,直线
(
,
)被曲线
截得的弦长为8,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f5d2e8186f0173d7862b1d39fb3dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10adc3992efb2badc23f81d36faa206f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fece79e7cf22f4a2b0a27c4347e2546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92d7b6ebfec23e127b2a730f4db76ad5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
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2020-11-25更新
|
896次组卷
|
3卷引用:山西省太原市2021届高三上学期期中质量监测数学试题
名校
7 . 在平面直角坐标系
中,圆
,以坐标原点
为极点,
轴正半轴为极轴,直线
的极坐标方程为
,直线
交圆
于
两点,
为
中点.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e10274381f2cfe52e79b99d9e98b804e.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/ebe281e87e03ff36d46bc3f23b4d0d26.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56b748b78d74ef6993be0b088672716f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
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8 . 以坐标原点
为极点,
轴的正半轴为极轴建立极坐标系,已知曲线
的极坐标方程为
,则曲线
的离心率为_______ .
![](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/7e7f40f7eb906249ffb2a29cef9f533d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2020-06-19更新
|
227次组卷
|
2卷引用:内蒙古呼和浩特市土默特左旗第一中学2019-2020学年高二下学期期中考试数学(文)试题
9 . 极坐标系中,点
的极坐标是
,则:(1)点
关于极轴对称的点的极坐标是_________ ;(2)点
关于极点对称的点的极坐标是_________ ;(3)点
关于直线
对称的点的极坐标是________ .(规定
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/419b75e7aa6140d4dd9cdc33fd181fee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7ad30c9afadc12e72e9d646acaa8a85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7026315511e1afd55a97b5278b0dd2cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417a7baca0753ba9ad45fe148d5d291c.png)
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2019-07-04更新
|
502次组卷
|
2卷引用:人教A版 全能练习 选修4-4 第一讲 第二单元 1.极坐标系的概念
解题方法
10 . 在直角坐标系中,已知直线
的参数方程为
(
为参数),以该直角坐标系的原点为极点,
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
被曲线
截得的弦的长为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a159de0b2d9eb1ae0b7e664e64d3c6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9256e35f65c518ed56342e2e1f314219.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08075b3b73dd2609baad69a496fdd9a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ffb694021b52653de5141ae27ba6d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ec2e819e90d8e1535e7d4a3b6b0fa1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a159de0b2d9eb1ae0b7e664e64d3c6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
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