名校
1 . 在直角坐标系
中,曲线
的参数方程为
(
为参数).
(1)求曲线
的普通方程;
(2)以
为极点,
轴的非负半轴为极轴建立极坐标系,直线
的极坐标方程为
,(
),直线
与曲线
交于
两点,求线段
的长度
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2beb91f10d2d8f2aa0dcc3f5cd1598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f8c1978b790ace7d87a619a7dd27fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)以
![](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/d4a58e738332d7b5eddc22563fa9358e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d35ab351387dc900817590d3134fc47.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/7ae1567d8f98fabc1a3948f8602cc5e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/526253844494fed86429e1390505e0db.png)
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2020-08-16更新
|
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10卷引用:江苏省扬州市高邮市第一中学2020-2021学年高三上学期10月测试数学试题
江苏省扬州市高邮市第一中学2020-2021学年高三上学期10月测试数学试题福建省漳州市2020届高三毕业班第三次教学质量检测数学(文)试题福建省漳州市2020届高三毕业班第三次教学质量检测数学(理)试题(已下线)专题22 坐标系与参数方程-2020年高考数学(理)母题题源解密(全国Ⅱ专版)(已下线)专题22 坐标系与参数方程-2020年高考数学(文)母题题源解密(全国Ⅱ专版)四川省成都七中2020-2021学年高三入学考试数学文科试题四川省成都市第七中学2020-2021学年高三入学考试理科数学试题四川省成都市第七中学2020-2021学年高三上学期开学考试数学(理)试题四川省成都市第七中学2020-2021学年高三上学期开学考试数学(文)试题福建省漳州市2020届高三高考数学(文科)三模试题
名校
2 . 已知曲线
的极坐标方程是
.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,直线
的参数方程是:
(
是参数).
若直线
与曲线
相交于
、
两点,且
,试求实数
值.
设
为曲线
上任意一点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cafb579dd4af3a4b9d38e747f5cd9e7.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/7fa41a1db4e5f5465c977879f5baff1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf6c84731e5e1bd335ecfc2d36c3d81.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/c61afa67b00a0251de102a2e5f7b2311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f53190d6ead827a6338b9de847aeaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d259822ab64b8626f3893b8432673358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
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9卷引用:2020届江苏省连云港市六所四星高中(海州高中、赣榆高中、海头中学、东海高中、新海高中、灌云高中)高三下学期模拟考试数学试题
2020届江苏省连云港市六所四星高中(海州高中、赣榆高中、海头中学、东海高中、新海高中、灌云高中)高三下学期模拟考试数学试题2020届宁夏石嘴山市第三中学高三第三次模拟考试数学(文)试题2020届宁夏石嘴山市第三中学高三第三次模拟考试理科数学试题2020届四川省泸县第四中学高三三诊模拟考试数学(理)试题2020届四川省泸县第四中学高三三诊模拟考试数学(文)试题安徽省五校联盟2021届高三下学期第二次联考理科数学试题安徽省五校联盟2021届高三下学期第二次联考文科数学试题四川省内江市第六中学2022届高三下学期考前强化训练二数学(理科)试题四川省内江市第六中学2022届高三下学期考前强化训练二数学(文科)试题
真题
3 . 在平面直角坐标系
中,求过椭圆
(
为参数)的右焦点且与直线
(
为参数)平行的直线的普通方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3516a2cb37f09735c50bf43bc5eaeb19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cada4595e617c68c84c8081c2f70dcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3a8d88ebc84c11c4f604dfe2300983.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2016-11-30更新
|
2212次组卷
|
4卷引用:2011年江苏省普通高中招生考试数学
2011年江苏省普通高中招生考试数学苏教版高中数学 高三二轮 专题25 矩阵与变换坐标系与参数方程 测试专题11.6 参数方程与极坐标(练)-江苏版《2020年高考一轮复习讲练测》(已下线)2012-2013学年甘肃省秦安二中高二下学期期末考试文科数学试卷
名校
4 . 在平面直角坐标系
中,曲线
:
,曲线
:
(
为参数),以坐标原点
为极点,
轴正半轴为极轴,建立极坐标系.
(1)求曲线
,
的极坐标方程;
(2)曲线
:
(
为参数,
,
),分别交
,
于
,
两点,当
取何值时,
取得最大值.
![](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/aa59d9aa0b6845adbaf601f942a32e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7034b0016e917518d0bc6d25eedca51b.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)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dadd634077778c9db49c6082de3af072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fff6e7e2b9f2b68b1647f6350b98dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c65b6c42393fae47c51101713167ff71.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/553c225e9d2342c2d7d9c70a7d18b5c2.png)
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2020-01-17更新
|
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9卷引用:2020届江苏省南通市通州区高三下学期第一次模拟测试数学试题
2020届江苏省南通市通州区高三下学期第一次模拟测试数学试题2017届广东省佛山市高三4月教学质量检测(二)数学文试卷2017届广东省佛山市高三4月教学质量检测(二)数学理试卷黑龙江省哈尔滨市第六中学2017届高三下学期第三次模拟考试数学(文)试题广西桂林市桂林中学2017届高三5月全程模拟考试数学(理)试题宁夏银川一中2016-2017学年高二下学期期末考试数学(理)试题广东省佛山市南海区2018-2019学年高二下学期期末数学理试题(已下线)2020届高三12月第01期(考点13)(文科)-《新题速递·数学》广东省三校(广州真光中学、深圳市第二中学、珠海市第二中学)2020届高三上学期第一次联考数学(文)试题
5 . 在平面直角坐标系
中,已知曲线C的参数方程为
(a为参数).现以坐标原点
为极点,
轴为极轴建立极坐标系.
(1)设P为曲线C上到极点的距离最远的点,求点P的极坐标;
(2)求直线
被曲线C所截得的弦长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9f13845d2ea577328660f4ff36bcd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
(1)设P为曲线C上到极点的距离最远的点,求点P的极坐标;
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6bc01cfb021eedd10e4d4a0f631c86d.png)
您最近一年使用:0次
名校
6 . 曲线
的参数方程为
(
为参数),以平面直角坐标系
的原点
为极点,
轴的正半轴为极轴,取相同的单位长度建立极坐标系,已知直线
的极坐标方程为:
.
(1)求曲线
的普通方程和直线
的直角坐标方程;
(2)
为曲线
上任意一点,求点
到直线
的距离的最小值、并求取最小值时的
点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db432df2bb32a3316c77d82207bb7221.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e19ea311d078c40b57afcd376a08a677.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2019-06-18更新
|
562次组卷
|
3卷引用:数学-6月大数据精选模拟卷05(江苏卷)(满分冲刺篇)
(已下线)数学-6月大数据精选模拟卷05(江苏卷)(满分冲刺篇)安徽省淮北市淮北师范大学附属实验中学2018-2019学年高二下学期第二次月考数学(文)试题江西省景德镇市浮梁县第一中学2020-2021学年高二5月月考数学(文)试题
7 . 在直角坐标系
中,已知
,曲线
参数方程为
(其中
为参数),直线
的参数方程为
(
为参数),若直线
与曲线
交于
,
两点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7795aec93c2c7ac2fd93e6747ca6516c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab989b7048c01a3d931624b816c35d05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebdcabae050577adbf0fe3928e924d9e.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/cdefaa0e16e55f6d9c72fd5c95ac0134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa5b1605900599f9b9e97f37de967b4.png)
您最近一年使用:0次
8 . 在平面直角坐标系中,直线
的参数方程为
(
为参数),以坐标原点为极点,
轴的非负半轴为极轴,建立极坐标系,曲线
:
,求直线
被曲线
截得的弦长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75f93cfe4d45ce1033de72aa23af639.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/40e48856c98ea29a6226a875fb722783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2020-05-13更新
|
293次组卷
|
2卷引用:2020届江苏省扬州市高三下学期5月调研测试数学试题
9 . 已知直线
:
(
为参数)和圆
的极坐标方程:
.
(1)分别求直线
和圆
的普通方程并判断直线
与圆
的位置关系;
(2)已知点
,若直线
与圆
相交于
,
两点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28238e7f33cab9c72e66b2c2f5638f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925b34a1e7a48f450d883f9a0197e5c9.png)
(1)分别求直线
![](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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4754fbe523ca63eba3810a3f88f37df3.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/596ff257d3065dd364f23ad26eac79d9.png)
您最近一年使用:0次
10 . 在平面直角坐标系
中,曲线
的参数方程为
(
为参数).
(1)求曲线
的普通方程;
(2)在以原点
为极点,
轴的正半轴为极轴的极坐标系中,直线
的极坐标方程为
,过直线
上一点
引曲线
的切线,切点为
,求
的最小值.
![](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/67b8c237018d843214d874b38e5bb85e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)在以原点
![](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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ba8eebcc33a4d3d1fc3902776df4f3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
您最近一年使用:0次