1 . 在平面直角坐标系
中,
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,
的极坐标方程为
.
(1)求
的直角坐标方程;
(2)
与
相交于不同两点
、
,线段
中点为
,点
,若
,求
参数方程中
的值.
![](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/dc42d6d314a18d8d4cc0f6a22c5b232c.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/1dde8112e8eb968fd042418dd632759e.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/17f93b53777fb4061a39c225d189ac60.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77d269b408e9993d393f93947bb00063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/040d6732d32d552cb60f1a9430b67c67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4179e1ab8705cf19ea7aaf48888843.png)
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2021-11-25更新
|
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8卷引用:新疆喀什第二中学2021-2022学年高二11月月考数学试题
新疆喀什第二中学2021-2022学年高二11月月考数学试题河南省河南大学附属中学2021-2022学年高三上学期11月月考数学文科试题(已下线)专题十一 能力提升检测卷 (测) — 2022年高考数学一轮复习讲练测(课标全国版)吉林省长春市十一高中2021-2022学年高三上学期第二学程考试数学(理)试题河南省2022届普通高中毕业班高考适应性测试理科数学试题河南省2022届普通高中毕业班高考适应性测试文科数学试题(已下线)河南省洛阳市2021-2022学年高三上学期第二次统一考试文科数学试题河南省顶级名校2021-2022学年高三下学期阶段性联考四理科数学试题
名校
2 . 点M的直角坐标是
, 则点M的极坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d872cfddb0d58e8475eedf419613f69f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5卷引用:新疆喀什第二中学2021-2022学年高二11月月考数学试题
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3 . 已知曲线C的极坐标方程为
,则该曲线的直角坐标方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cafb579dd4af3a4b9d38e747f5cd9e7.png)
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4 . 曲线
(
为参数)与
坐标轴的交点是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac98595ffe93cf369bce756ecf93623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
A.![]() | B.![]() | C.![]() | D.(0,﹣4) |
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5 . ρ=4sinθ所对应的直角坐标方程为__ .
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6 . 将极坐标方程
化为直角坐标方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/769ae6c868356d89260e8fbc63568510.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7 . 若直线
(
为参数)与直线
平行,则常数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7cc54175fd835c36c48f150a34e330.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f099c9c499e5844e8aae3cbccf8c7c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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8 . 若
,
满足
,则
的最大值为__________ .
![](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/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9976461eb778c7068c7fb4578e73967e.png)
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9 . 若直线
经伸缩变换后变为直线
,则该伸缩变换为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b129ea72bcaf07556f52924a86e4f870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1566756ad151a4c65314b68e9f852a22.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 在直角坐标系
中,曲线
:(x-1)2+y2=1以
为极点,
轴的非负半轴为极轴建立极坐标系
(1)求曲线
的极坐标方程;
(2)直线
的极坐标方程是
,射线
与曲线
的交点为
,与直线的交点为
,求线段
的长.
![](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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1916ee85c3fc62a8b72f89a3bbea38e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88064225795a97a2cb12a1e2c8d0b024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db36b4497b911bc047253b832ae01c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76b1113864968119e61aeee9ba9c613b.png)
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