1 . 在直角坐标系
中,圆
的的参数方程为
(
为参数),圆
经过伸缩变换
得曲线
,以坐标原点为极点,
轴正半轴为极轴建立极坐标系.已知直线
经过极点和点
.
(1)求曲线
的极坐标方程与直线
的参数方程;
(2)设直线
与曲线
交于
,
两点,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e86d785c71b00d8fa581d40bac68bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac09f1115b3d8583f8c309601cfbd645.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/04d81f8c37a449e3088f15fe968174be.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](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/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/3f4dfec890cdfdda355e19463f3be813.png)
您最近一年使用:0次
2022-05-26更新
|
607次组卷
|
2卷引用:新疆克拉玛依市2022届高三下学期第三次模拟检测数学(文)试题
名校
解题方法
2 . 在平面直角坐标系
中,曲线
的参数方程为
(
为参数),将
通过伸缩变换
后,得到曲线
.
(1)求
的普通方程;
(2)过点
作直线
交曲线
于
两点,
,以坐标原点为极点,以x轴正半轴为极轴建立极坐标系,求直线
的极坐标方程.
![](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/72f98467d273633ede326f703204dad7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1751a9749c60b0e3435c12520fa7dc60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1a9821a00b71f6b7d7a76d91b3f810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1475f2abe311c29f1604fc739f54990a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2022-02-21更新
|
683次组卷
|
2卷引用:新疆乌鲁木齐地区2022届高三第一次质量监测数学(理)试题(问卷)
3 . 在直角坐标系xOy中,圆C的参数方程为:
为参数
,以坐标原点为极点,x轴的非负半轴为极轴建立极坐标系,射线l的极坐标方程为
,
.
将圆C的参数方程化为极坐标方程;
设点A的直角坐标为
,射线l与圆C交于点
不同于点
,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d503d6ed9b2090e92b05867a3857a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af65646c2c51cca17326deea9d24475.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92277d8099c6728aef5a164556fbcb52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5469b24868d7de7c521c2ec3a039282f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7986887b83aab178ae991d8e4c2696e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d08268c3c0d383c62023446360286a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84ed6bee57f4526320197d6a7474386f.png)
您最近一年使用:0次
2019-03-27更新
|
637次组卷
|
2卷引用:【省级联考】新疆2019届高三年级第一次毕业诊断及模拟测试文科数学试题
4 . 在平面直角坐标系
中,直线
的参数方程为
(
为参数),以
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
.
(Ⅰ)求圆
的直角坐标方程;
(Ⅱ)若直线
与圆
交于
,
两点,点
,且
,求
的值.
![](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/647e33c676d1a59671a987da64df3b76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc12b298a24107c640101ae5501d9b6.png)
(Ⅰ)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅱ)若直线
![](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/ff88eef4c24eba0fd4948b1cade1a531.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d61c5982d98d887a5d8cc412fe222b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-03-18更新
|
338次组卷
|
2卷引用:【市级联考】新疆乌鲁木齐市2019届高三一模试卷(理科)数学试题
2014·新疆乌鲁木齐·三模
5 . 已知曲线C的参数方程是
( θ为参数 ),以直角坐标系
的原点为极点,x轴的非负半轴为极轴建立极坐标系,直线l的极坐标方程为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e784533276091f399dc2a31ed2d6a65.png)
(1)试求曲线C上任意点M到直线l的距离的最大值;
(2)设P是l上的一点,射线OP交曲线C于R点,又点Q在射线OP上,且满足
,当点P在直线l上移动时,试求动点Q的轨迹.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d69f4b33255ea10ba85530c7f66ee03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e784533276091f399dc2a31ed2d6a65.png)
(1)试求曲线C上任意点M到直线l的距离的最大值;
(2)设P是l上的一点,射线OP交曲线C于R点,又点Q在射线OP上,且满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb56224200a52ddab3a5144c05a7f420.png)
您最近一年使用:0次
2016-12-03更新
|
583次组卷
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5卷引用:2014届新疆乌鲁木齐地区高三第三次诊断性测验理科数学试卷
(已下线)2014届新疆乌鲁木齐地区高三第三次诊断性测验理科数学试卷(已下线)2014届新疆乌鲁木齐地区高三第三次诊断性测验文科数学试卷云南省昆明市第三中学2022届高三上学期期末考试数学(理)试题云南省昆明市第三中学2022届高三上学期期末考试数学(文)试题(已下线)第五篇 向量与几何 专题3 仿射变换与反演变换 微点8 反演变换综合训练