9-10高三·安徽蚌埠·阶段练习
名校
1 . 极坐标系中,曲线
相交于点
,则
= ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b89496165e85fb88d9498ca7c90b14f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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11-12高三·山西太原·阶段练习
2 . .已知直线
的参数方程是
(
是参数),圆C的极坐标方程为
.
(1)求圆C在直角坐标系下的方程;
(2)由直线
上的点向圆引切线,求切线长的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/135a8c3acc760929b4481559515cf841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e8bd01173c217d9b6743b47827c6fa.png)
(1)求圆C在直角坐标系下的方程;
(2)由直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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18-19高三·陕西·阶段练习
3 . 在平面直角坐标系
中,以原点为极点,
轴的正半轴为极轴建立极坐标系,并在两坐标系中取相同的长度单位.已知圆
的方程为
,直线
的参数方程为
(
为参数,
为直线
的倾斜角).
(1)写出圆
的极坐标方程和直线
的普通方程;
(2)若
为圆
上任意一点,求点
到直线
的距离的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.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/c9f1a79319ba3c154779680a723714bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0991de1d10129996dd574d9dcb7689a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)写出圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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解题方法
4 . 已知直线
的参数方程为
(
为参数),则直线
的倾斜角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c55a08ad08da235bfba5931f2498d5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 在直角坐标系xOy中,以原点O为极点,x轴的正半轴为极轴建立极坐标系.已知射线θ=
与曲线
(t为参数)相交于A,B两点,则线段AB的中点的直角坐标为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b365b8a7b9e24ee7eeb333786952f4af.png)
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6 . 已知圆的极坐标方程为
,则圆的半径为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2765bbc932b4efd75d2719b0cc208825.png)
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7 . 在直角坐标系
中,
,
,以
为直径的圆记为圆
,圆
过原点
的切线记为
,若以原点
为极点,
轴正半轴为极轴建立极坐标系.
(1)求圆
的极坐标方程;
(2)若过点
,且与直线
垂直的直线
与圆
交于
,
两点,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6cffa52177f31cd10c42d00f69d4da1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5de23956676804c1ad6c50e57b8253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22840186db0afc0e2b2e8915ce79b998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354f8e9d6cca157b95877d6540d16fb3.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac35b1e8a952aac4f4cdaaf02d868d04.png)
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2018-02-05更新
|
329次组卷
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2卷引用:陕西省西安市第六十六中学2019-2020学年高三上学期期末数学(文)试题
2012·陕西延安·模拟预测
名校
8 . 在极坐标系中,圆
的圆心到直线
上的动点的距离的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f917a2022014d9c19c29eeac84c74e2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85906698c25185d86eccaba6190ec335.png)
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2016-12-01更新
|
1528次组卷
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4卷引用:2012届陕西省延安中学高三第七次模拟考试理科数学试卷
(已下线)2012届陕西省延安中学高三第七次模拟考试理科数学试卷北京市十一所学校2018届高三零模试卷理科数学试题【全国百强校】北京八中2018—2019学年第一学期高三期中考试数学(理科)试题(已下线)狂刷57 坐标系与参数方程-学易试题君之小题狂刷2020年高考数学(理)
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解题方法
9 . 已知圆
为参数
和直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7130cce106225a1494b4dbad561e2a.png)
其中
为参数,
为直线
的倾斜角
.
(1)当
时,求圆上的点到直线
的距离的最小值;
(2)当直线
与圆
有公共点时,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb0d6d792de7687a77192b1f60921fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7130cce106225a1494b4dbad561e2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0532905ff30da96c559316cacca73965.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)当直线
![](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/e170f206fdbbd834aad7580c727e2cc6.png)
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2017-07-23更新
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4卷引用:陕西省西安市长安区第一中学2017届高三4月模拟考试数学(文)试题
2010·上海普陀·二模
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10 . 已知椭圆的参数方程为
(
),则该椭圆的焦距为 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e9505c64600eea38c9edfde856dc1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e36c9c91220b0f2cbd4a48e8fa90e3d.png)
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2016-11-30更新
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3卷引用:陕西省咸阳市武功县普集高中2020-2021学年高二下学期第三次月考文科数学试题
陕西省咸阳市武功县普集高中2020-2021学年高二下学期第三次月考文科数学试题(已下线)上海市普陀区2010届高三第二次模拟考试理科数学试题上海市实验学校2023-2024学年高二下学期4月月考数学试卷