1 . 在平面直角坐标系中,以坐标原点为极点,以
轴正半轴为极轴建立极坐标系,直线
的极坐标方程为
,曲线
的参数方程
,(
为参数).则曲线
上的点到直线
的距离的最小值为________ .
![](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/fe4258250986e818e6e8661009854a99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22fd767ded3d76cc7b248a4ce586a0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2019-06-28更新
|
360次组卷
|
2卷引用:2019届天津市滨海新区高三高考模拟(5月份)数学(理)试题
名校
2 . 已知曲线
的极坐标方程为
,直线
的极坐标方程为
,若直线
与曲线
有且只有一个公共点,则实数
的值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e0cb878349009a779d94b1bc40319bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c0c8d6a9d167f00b204ff2086ab9cd8.png)
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
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3 . 在极坐标系中,若点
在圆
上,则点
到直线
距离的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f99a1f62cd3bdbf096679aeef1fa9b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d71499f4b37b2434900aa7223df3b2b0.png)
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4 . 在平面直角坐标系中,直线
的参数方程为
(参数
),以原点为极点,
轴非负半轴为极轴建立极坐标系,圆
的极坐标方程为
,则圆
上的点到直线
的距离最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a351561c272f7e3e7612800c38c6fe69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995ec593baa4ef50b6d87c78380953d7.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/69cf89e94eb51129f144d9809ec290f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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5 . 圆
被直线
截得的弦长为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b00c47239e82f71c54c47dff724c201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a0f96c4dfd44a0412601f183a8c7443.png)
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2019-05-30更新
|
946次组卷
|
4卷引用:【市级联考】湖北孝感2018-2019学年高二(4月)期中联考数学(文)试题
6 . 已知直线的极坐标方程
,则极点到直线的距离为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57816bcd1c37c8d1681bb809f28c8249.png)
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2019-05-29更新
|
485次组卷
|
3卷引用:【全国百强校】吉林省蛟河市第一中学2018-2019学年高二下学期期中考试数学(文)试题
【全国百强校】吉林省蛟河市第一中学2018-2019学年高二下学期期中考试数学(文)试题(已下线)2019年6月25日 《每日一题》选修2-2+选修2-3+选修4-4+选修4-5(理数)(下学期期末复习)——极坐标方程和直角坐标方程的互化西藏林芝市第二高级中学2018-2019学年高二下学期期末考试数学(文)试题
名校
7 . 在平面直角坐标系
中,圆
的参数方程为
(
为参数),以坐标原点为极点,
轴的非负半轴为极轴建立极坐标系,直线
的极坐标方程为
若直线
与圆
相切,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](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/032c5e0bd6fe318a661c965461d893f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.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/6402e69826f9ba2461afae27c65cad5b.png)
![](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/380bbacf854e30e2e747fc286d2b9997.png)
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解题方法
8 . 已知在直角坐标系
中,抛物线
(
为参数)的焦点为
,以坐标原点为极点,
轴的非负半轴为极轴建立极坐标系,直线
的极坐标方程为
,若直线
与曲线
交于
、
两点,与
轴相交于点
,
,
则
与
的面积之比![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad857a11437d25816854dd609c834123.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab4d61beecbb6a7193736820ca8dee0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/38ec501696478e97604a578bfdeb1046.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d609cb7f8b4d79e8b65c0b8a0672d240.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12d016b9cfab97e18ea6193ac309f9d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a00d05c60999eff91345a545fb57e9af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f221c6eff7ed25794b7fe387bee22f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad857a11437d25816854dd609c834123.png)
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9 . 已知在直角坐标系
中,圆
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,直线
的极坐标方程为
,直线
与圆
交于
两点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e3d627f5fbd04271389d503942d233.png)
__________ .
![](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/415b5908737d1254588fc43d64f6625d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.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/5ad58524edd67391bb4190bc19c41733.png)
![](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/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e3d627f5fbd04271389d503942d233.png)
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真题
10 . 如图,在极坐标系中,过点
的直线
与极轴的夹角
.若将
的极坐标方程写成
的形式,则
.
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630127104/STEM/cd5925440875415abb3d697f26480c5f.png?resizew=56)
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630127104/STEM/f0b4c28ba00849d09095fc1f068ef2fb.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630127104/STEM/1e2ee2e0eb5742929b9f8c2b9d2d7c09.png?resizew=41)
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630127104/STEM/f0b4c28ba00849d09095fc1f068ef2fb.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630127104/STEM/e707d49fc4244712b1a59f7741f7ce7f.png?resizew=64)
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630127104/STEM/5a20567bd1354ac5b9cbf3f4362ed3c0.png?resizew=49)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/72524907-f85b-4bb5-b642-a2e943f8e75d.png?resizew=141)
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