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1 . 极坐标方程
表示的曲线为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca3fd046a7c3f4dcef809e603357c5b3.png)
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2 . 在极坐标系中,
,
两点间的距离为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/487e457dc186dca7159098d3abe8f275.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d25492d4208157e783913b37f56fe230.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-06-09更新
|
311次组卷
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2卷引用:山西省长治市第二中学校2019-2020学年高二下学期摸底数学(文)试题
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3 . 在极坐标系中,曲线
,
的极坐标方程为
,
.
(1)求曲线
和
的交点的极坐标;
(2)过极点
作动直线与曲线
交于点
,在
上取一点
,使
,求点
的轨迹的直角坐标方程.
![](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/9e0cb878349009a779d94b1bc40319bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0bca010f0b16ff5fad8c8aed01514d7.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)过极点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0009063fe00277645aff1be6e32471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ea2b6314d4b68ed2d6d1c840f91b3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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4 . 在极坐标系中,圆
的圆心到直线
的距离为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdebedd02b4ea57f8562443742086d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce714e4c011b564f0bac5d739f96d31.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-06-09更新
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432次组卷
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3卷引用:山西省长治市第二中学校2019-2020学年高二下学期摸底数学(文)试题
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5 . 在同一直角坐标系下,曲线
经过伸缩变换
后的曲线方程是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6205da5e1d2730ee0b3de8bca3e29f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a79429074b066508bd244b3c1f5cd6.png)
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3卷引用:山西省长治市第二中学校2019-2020学年高二下学期摸底数学(文)试题
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6 . 已知直线
经过点
,倾斜角
.
(1)写出直线
的参数方程;
(2)设直线
与圆
相交于两点
,
,求线段
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f13bf66fc845b115de4ec45b4be0e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4120436d6ff0c58109473edc068257c3.png)
(1)写出直线
![](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/fcc8818db1098b37550cbc1b62184c42.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)
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解题方法
7 . 参数方程
(
为参数)化成普通方程是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33b8a4096138bb71c4473bf2db98a8a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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8 . 若直线l的参数方程为
(t为参数),则直线的倾斜角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89275f1f81355131070adb1b4ce2aed.png)
A.30° | B.60° | C.120° | D.150° |
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9 . 在直角坐标系
中,直线
的参数方程
(
为参数,
),曲线
的参数方程
(
为参数).
(1)求曲线
在直角坐标系中的普通方程;
(2)以坐标原点
为极点,
轴的正半轴为极轴建立极坐标系,当曲线
截直线
所得线段的中点极坐标为
时,求
.
![](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/f952f5ba291bddbbaf609ce0ae451a24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b7cbba6f130b84315180391c177d0c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cded39edeb03a2611aac4288e477787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)以坐标原点
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75a3ee61d0d7d3df4807a9691f203e48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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2020-05-25更新
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11卷引用:2020届山西省大同市第一中学高三下学期模拟(五)数学(理)试题
2020届山西省大同市第一中学高三下学期模拟(五)数学(理)试题2020届陕西省咸阳市高三上学期期末考试数学(文)试题2020届陕西省咸阳市高三上学期期末考试数学(理)试题2020届高三2月第01期(考点14)(理科)-《新题速递·数学》2020届河南省平顶山市第一中学高三下学期开学检测(线上)文数试题2020届陕西省咸阳市高三第一次高考模拟检测数学(理)试题2020届陕西省咸阳市高三第一次高考模拟检测数学(文)试题内蒙古集宁一中西校区2019-2020学年高二下学期期中考试数学(理)试题2020届福建省厦门市高三质量检查(5月二模)数学(理)试题福建省厦门市2020届高三毕业班5月质量检查理科数学试题福建省厦门市2020届高三高中毕业班5月质量检查(二)数学(理)试题
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10 . 在极坐标系中,曲线
的极坐标方程为
,点
,以极点
为原点,以极轴为
轴的正半轴建立平面直角坐标系,已知直线
(
为参数)与曲线
交于
两点.
(1)若
为曲线
上任意一点,当
最大时,求点
的直角坐标;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0335b9c6dba2a722697a75bfee5a1e48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f3c3ebc629593bda5764f57522d706.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/880392577ce21a8dc55a7a22dbb414fa.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/01c74a907dda6bb7d9d56d009d9df253.png)
(1)若
![](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/8ae743852e53bb3a32144cfa423d2bf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97421de7f49e4bc118f26f2bbe334826.png)
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2020-05-21更新
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