14-15高三上·河北衡水·阶段练习
1 . 在直角坐标系中,曲线C的参数方程为
(
为参数),以原点为极点,x轴的正半轴为极轴建立极坐标系,点
,直线
的极坐标方程为
.
(1)判断点
与直线l的位置关系,说明理由;
(2)设直线
与曲线C的两个交点为A、B,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e43ad1bda42313c841d793b8f87d144.png)
![](https://img.xkw.com/dksih/QBM/2014/5/14/1571716398620672/1571716404396032/STEM/6f3682f719c9478eaf43af52eac4f913.png)
![](https://img.xkw.com/dksih/QBM/2014/5/14/1571716398620672/1571716404396032/STEM/82e6f0f777a24f6382434946c457e4ce.png)
![](https://img.xkw.com/dksih/QBM/2014/5/14/1571716398620672/1571716404396032/STEM/47f4c0c128a14fcd9c0050b4bd81ee99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78e5d2eeb66be9fc76f478d604c38cb0.png)
(1)判断点
![](https://img.xkw.com/dksih/QBM/2014/5/14/1571716398620672/1571716404396032/STEM/20f439a160714d2db853a29374797edf.png)
(2)设直线
![](https://img.xkw.com/dksih/QBM/2014/5/14/1571716398620672/1571716404396032/STEM/47f4c0c128a14fcd9c0050b4bd81ee99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bbe1227b21269d8267730b4f1ed9be4.png)
您最近一年使用:0次
名校
2 . 在直角坐标系
中,直线的参数方程为
(为参数).以坐标原点为极点,轴的正半轴为极轴建立极坐标系,已知曲线
的极坐标方程为
.
(1)求直线的普通方程及曲线
的直角坐标方程;
(2)若直线与曲线
交于
两点,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28d702293147b2c08c374b51834e98a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaa841c771367399f51d2bfcb9d37e87.png)
(1)求直线的普通方程及曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线与曲线
![](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/8d1c218caaa5752e168a367ce2f4e3f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/000d6069fd2d91c71cfeba59a7112da6.png)
您最近一年使用:0次
2018-12-17更新
|
1563次组卷
|
14卷引用:【市级联考】河北省邯郸市2018-2019学年高二下学期期中考试数学(理科)试题
【市级联考】河北省邯郸市2018-2019学年高二下学期期中考试数学(理科)试题【市级联考】河北省邯郸市2018-2019学年高二下学期期中考试数学(文)试题【校级联考】吉林省长春市九台区师范高中、实验高中2018-2019学年高二下学期期中考试数学(理)试题河北省邢台市第二中学2018-2019学年高二下学期第四次月考数学(文)试题【市级联考】河南省新乡市2019届高三第一次模拟考试文科数学试题【市级联考】河南省新乡市2019届高三第一次模拟考试理科数学试题【市级联考】广西梧州市、桂林市、贵港市等2019届高三(上)期末数学试题(文科)【市级联考】广西梧州市、桂林市、贵港市等2019届高三上学期期末理科数学试题【市级联考】贵州省黔东南州2019届高三下学期第一次模拟考试数学(文)试题江西省上饶市2018-2019学年高二下学期期末数学(理)试题山西大学附属中学2018-2019学年高二5月模块诊断数学(文)试题2019届贵州省黔东南州高三下学期第一次模拟考试(理)数学试题西藏山南市第二高级中学2021届高三上学期第三次月考数学(理)试题西藏山南市第二高级中学2021届高三上学期第三次月考数学(文)试题
名校
3 . 在直角坐标系
中,直线
的参数方程为
(
为参数),再以原点为极点,以
轴正半轴为极轴建立极坐标系,并使得它与直角坐标系有相同的长度单位,在该极坐标系中圆
的方程为
.
(1)求圆
的直角坐标方程;
(2)设圆
与直线
交于点
,若点
的坐标为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1e3f7317e3fb6824764e7d51b5e632.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/075115a5bc60e9eae149cfae175994fc.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设圆
![](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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879a4007beef22e009248112d664f7c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13c54cd0878ea19f3ae4d35348c04e7f.png)
您最近一年使用:0次
2018-06-24更新
|
379次组卷
|
7卷引用:河北省石家庄市第一中学2017-2018学年高二下学期期中考试数学(文)试题
名校
4 . 在极坐标系中,直线
的方程为
,则点
到直线
的距离为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70498aca8afc1531efd39470ab91eacc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/997fb39a8537bc1436c59cee76446ec9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2018-06-01更新
|
790次组卷
|
3卷引用:【全国百强校】衡水金卷河北衡水中学2017-2018年高二下学期期中考试数学(理)试卷
名校
5 . 在极坐标系中,
为极点,曲线
与
射线的交点为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aa3ba0c87ce97239cb65f863fa9340f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0248710b6ca550713d8770ad10bbfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc1f08c7640e62e8717abf4d44a6c83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aa3ba0c87ce97239cb65f863fa9340f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2018-06-01更新
|
1403次组卷
|
13卷引用:河北省枣强中学2018-2019学年高二下学期期中数学(文)试题
河北省枣强中学2018-2019学年高二下学期期中数学(文)试题【全国市级联考】河北省邢台市2017-2018学年高二下学期第三次月考数学(文)试题【全国市级联考】河北省邢台市2017-2018学年高二下学期第三次月考数学(理)试题甘肃省武威第一中学2019-2020学年高二下学期期中考试数学(文)试题吉林省松原市扶余市第一中学2019-2020学年高二下学期期中考试数学(理)试题黑吉两省十校2020-2021学年高二(上)期中数学(理科)试题陕西省商洛市洛南中学2022-2023学年高二下学期期中文科数学试题【全国百强校】福建省莆田第九中学2017-2018学年高二下学期第二次月考数学(理)试题宁夏回族自治区育才中学2018-2019学年高二下学期期末数学(理)试题黑龙江省大庆实验中学2019-2020学年高二下学期第五次网上周测数学(理)试题青海省西宁市大通回族土族自治县2020-2021学年高二下学期期末联考数学(文)试题广西北海市2020-2021学年高二下学期期末数学(文)试题陕西省宝鸡市教育联盟2019-2020学年高二下学期期末文科数学试题
名校
6 . [选修4-4:坐标系与参数方程]
在平面直角坐标系
中,曲线
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,并使得它与直角坐标系有相同的长度单位,曲线
的极坐标方程为
,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)设
分别交
、
于点
、
,求
的面积.
在平面直角坐标系
![](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/e652c152573ea155c032ee8ff5156780.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/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdebedd02b4ea57f8562443742086d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9842653eec7ffd6cf3ebdb971a1a9be.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8158a3787b4b647eefcfcfce5799f1b.png)
您最近一年使用:0次
2018-05-02更新
|
1046次组卷
|
5卷引用:河北省武邑中学2018届高三下学期期中考试数学(文)试题
名校
7 . 已知直线
的参数方程为
(
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,曲线
的极坐标方程为
,射线
,
分别与曲线
交于
三点(不包括极点
).
(Ⅰ)求证:
;
(Ⅱ)当
时,若
两点在直线
上,求
与
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea0c89112e34d5096a06165c6cbd015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10adc3992efb2badc23f81d36faa206f.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/925b34a1e7a48f450d883f9a0197e5c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0be5c8e545a1251a276a7726d469f25a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2388a1c07fdee1a7accfb6882e93c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59fec83a7cecffd20f3fbd85dba6bc4d.png)
(Ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91950023a67715fe5b61f1c9d1d6f87f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da6b93dbe5272a5167ff4e2918bec864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
2018-03-14更新
|
1106次组卷
|
5卷引用:【全国百强校】河北省武邑中学2018届高三下学期期中考试数学(理)试题
名校
8 . 平面直角坐标系中,直线
的参数方程为
(
为参数),以原点为极点,
轴正半轴为极轴建立极坐标系,曲线
的极坐标方程为
.
(1)写出直线
的普通方程与曲线
的直角坐标方程;
(2)已知与直线
平行的直线
过点
,且与曲线
交于
,
两点,试求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b08477c40686210e070d0eff62be2531.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/6f90cb7db87a6cd68e858a5d686eedf2.png)
(1)写出直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99296bab1b42898e7ca336a822510258.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/9486e4e76ff07c6c47091e0e4b8bcd7d.png)
您最近一年使用:0次
2018-03-14更新
|
797次组卷
|
10卷引用:【全国百强校】河北省武邑中学2019届高三(上)期中数学试题(文科)
【全国百强校】河北省武邑中学2019届高三(上)期中数学试题(文科)安徽省芜湖市2018届高三上学期期末考试(一模)理科数学试题陕西省汉中市汉中中学2019届高三数学(文)第三次月考安徽省芜湖市2018届高三上学期期末考试(一模)文科数学试题【市级联考】江西省新余市2019届高三上学期期末考试数学(理)试题2020届吉林省白城四中高三网上模拟考理科数学试题西藏自治区拉萨市拉萨中学2021届高三第一次月考数学(文)试题西藏自治区拉萨市拉萨中学2021届高三第一次月考数学(理)试题西藏林芝市第二高级中学2021届高三上学期第四次月考数学(理)试题西藏拉萨那曲第二高级中学2022届高三9月第一次月考数学(文)试题
名校
9 . 已知曲线
的参数方程为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32baf1b0cab329853943bdf3a9cace7.png)
,曲线
的极坐标方程为
.
(1)将曲线
的参数方程化为普通方程;
(2)曲线
与曲线
有无公共点?试说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32baf1b0cab329853943bdf3a9cace7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4365c26dfbd40be75f5b5928956e5412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a134abac8d678ede60d72bda9c226f14.png)
(1)将曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次
2018-02-06更新
|
421次组卷
|
8卷引用:河北省枣强中学2018-2019学年高二下学期期中数学(文)试题
名校
10 . 在平面直角坐标系
中,圆
的参数方程为
为参数),在以原点
为极点,
轴的非负半轴为极轴建立的极坐标系中,直线
的极坐标方程为
.
(1)求圆
的普通方程和直线
的直角坐标方程;
(2)设直线
与
轴,
轴分别交于
两点,点
是圆
上任一点,求
两点的极坐标和
面积的最小值
![](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/a90012cccd64fd4d7954d9d1cc1182e7.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/97303ce868baeeb2afdedec4f1ee53e6.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53502463cc76201000e02df314e58769.png)
您最近一年使用:0次
2017-11-30更新
|
905次组卷
|
4卷引用:河北省承德市实验中学2018届高三上学期期中考试数学(理)试题