名校
1 . 在直角坐标系
中,曲线
的参数方程为
,(
为参数).以坐标原点
为极点,
轴正半轴为极轴建立极坐标系,已知点
的极坐标为
.
(1)求曲线
的极坐标方程;
(2)过
作曲线
的切线,切点为
,过
作曲线的
切线,切点为
,求
.
![](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/1aef5e73a9aa4d04dc588c2962717131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b4444b4b64ae328919a8ca2b83eca4.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ce8e8f300a8b7ab4f4caf597d5823b8.png)
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2019-04-23更新
|
903次组卷
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8卷引用:吉林省白城市通榆县第一中学2018-2019学年高二下学期第三次月考(期中)数学(文)试题
2 . 圆心是
、半径是
的圆的极坐标方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c62ede314dfcdeb672a6c3283ba1644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2020-02-02更新
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444次组卷
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3卷引用:吉林省白城市通榆县第一中学2019-2020学年高二下学期第三次月考(5月)数学(文)试题
3 . 在极坐标系中,曲线
被直线
所截得的弦长为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e22fae16bd3b560d7b4162fa974616c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95fc45ef428d2de0bf23b66d0e7dc2f4.png)
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2019-07-12更新
|
629次组卷
|
3卷引用:吉林省白城市通榆县第一中学2019-2020学年高二下学期第一次网络考试数学试题
名校
4 . 在直角坐标系xOy中,直线l的参数方程为
为参数
,在极坐标系
与直角坐标系xOy取相同的长度单位,且以原点O为极点,以x轴非负半轴为极轴
中,圆C的方程为
.
求直角坐标下圆C的标准方程;
Ⅱ
若点
,设圆C与直线l交于点
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae1b6c3695e0f68f145a5056a0dcc272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7365e42d7f368a71ed7f7e707a85678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d53ef6814bdcd81428e56b3fcfaba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9bcca984112ce384ecd262f0cb3cd9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c72229b08c676c08a3c7258895375f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce48b979b234676a123b36d542dc75cb.png)
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2018-04-12更新
|
952次组卷
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7卷引用:吉林省白城市通榆县第一中学2019-2020学年高二下学期期末考试数学(理)试题
5 . 在极坐标系中,圆
的垂直于极轴的两条切线方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab585ff2aeb833fe29e511e37f1e8c7.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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6 . (1)在极坐标系中,过点
作曲线
的切线
,求直线
的极坐标方程.
(2)已知直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a461995b90655f5133df6f61c2d09bd.png)
(
为参数)恒经过椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5bbb709522dba9425a6b45ee671298.png)
(
为参数)的右焦点
.
①求
的值;
②设直线
与椭圆
交于
,
两点,求
的最大值与最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c1dd0d282af6a2ba9920877a06f2c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/549ea649efbff82eb432cdcc5cdd73b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a461995b90655f5133df6f61c2d09bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7211bad8b82cfe7bdaf147dad705d084.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5bbb709522dba9425a6b45ee671298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c9b6f36153518b0ddca93260ddc53f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
②设直线
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfdb0d7c66471e0b09ca22254aebca68.png)
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