1 . 在平面直角坐标系
中,已知直线
的参数方程为
(
为参数),以
为极点,
轴的正半轴为极轴建立极坐标系.曲线
的极坐标方程为
.
(1)求直线
的普通方程和曲线
的直角坐标方程;
(2)在直角坐标系中,若把曲线
图象向下平移
个单位,然后横坐标不变,纵坐标压缩到原来的
,得到曲线
,直线
与曲线
交于点
、
,与
轴交于点
,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/a9017a9969c403f23412f3ee7c60d17e.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/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69cf89e94eb51129f144d9809ec290f7.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)在直角坐标系中,若把曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77684b3856f797403b2040c5dc73c2ce.png)
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2021-11-24更新
|
945次组卷
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4卷引用:“四省八校”2021-2022学年高三上学期期中质量检测考试文科数学试题
“四省八校”2021-2022学年高三上学期期中质量检测考试文科数学试题(已下线)专题十一 能力提升检测卷 (测) — 2022年高考数学一轮复习讲练测(课标全国版)宁夏银川一中、昆明一中2023届高三联合二模考试数学(文)试题宁夏银川一中、昆明一中2023届高三联合二模考试数学(理)试题
2 . 在平面直角坐标系中,直线l的参数方程外
(
为参数,
),以平面直角坐标系的原点为极点,
轴的非负半轴为极轴,取相同的长度单位建立极坐标系,曲线
的极坐标方程为
.
(1)求直线
的普通方程和曲线
的直角坐标方程;
(2)若直线
与曲线
交于
,
两点,且
,求角
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c57d7f558bc54075e0b31af9ddbd12a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9285fdb6f413615cc901ed0929c2cf1b.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)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)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/7c26f6a4f54571926cf90fc582ae634d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
3 . 在平面直角坐标系中,点
,以原点O为极点,x轴正半轴为极轴建立极坐标系,已知曲线C的极坐标方程为
,
,
是曲线C的下、上焦点.
(1)求曲线C的标准方程和直线
的直角坐标方程;
(2)经过点
且与直线
垂直的直线l交曲线C于A、B两点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/522015e00b9d301fbb64d9b2241f9aff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2665e2e0d4c37e275d095a9112550e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
(1)求曲线C的标准方程和直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
(2)经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ef3a1ed78be544f58f37241c434efa2.png)
您最近一年使用:0次
2021-11-12更新
|
816次组卷
|
6卷引用:山西省大同市第一中学校2022届高三上学期12月月考数学(理)试题
4 . 在平面直角坐标系
中,圆C的参数方程为
(
为参数),直线
经过点P(1,1),倾斜角![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c95fa7f61564978c8e26616bc14449e.png)
(1)写出直线
的参数方程,把圆C的参数方程转化为普通方程;
(2)设
与圆C相交与两点A,B,求点P到A,B两点的距离之积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ef09d524897bd8ea496d82bd24820e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c95fa7f61564978c8e26616bc14449e.png)
(1)写出直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
名校
5 . 在平面直角坐标系
中,曲线
的参数方程为
(
),在以坐标原点为极点,
轴的正半轴为极轴的极坐标系中,直线
的方程为
.
(1)求曲线
的普通方程和直线
的直角坐标方程;
(2)已知点
,直线
与曲线
相交
,
两点,点
是弦
的中点,求三角形
的面积.
![](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/ff3b443181e85187095a39de9512e4c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417a7baca0753ba9ad45fe148d5d291c.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/649361e842399b796c4cb0b1fe75e2d9.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0af1a9647a129a692715564967a8ef6.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dd71a8cbe8d1da754b8b4ed18bb0048.png)
您最近一年使用:0次
2021-10-23更新
|
774次组卷
|
3卷引用:四川省南充市2022届高考适应性考试(零诊)理科数学试题
6 . 在平面直角坐标系
中,直线
的参数方程为
(
为参数),以原点
为极点,
轴的正半轴为极轴建立极坐标系,曲线
的极坐标方程为
.
(1)求直线
的普通方程和曲线
的直角坐标方程;
(2)已知点
,直线
与曲线
相交于点
,
,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/9fabb05512625af8137fd0f388968d49.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/4a226f8d0973dbd6e65a4b8c34da38c2.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/393167a4f2624bc3390f0103a7e3a978.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77684b3856f797403b2040c5dc73c2ce.png)
您最近一年使用:0次
2021-10-15更新
|
1363次组卷
|
9卷引用:河南省联考2021-2022学年高三核心模拟卷(上)文科数学(三)
河南省联考2021-2022学年高三核心模拟卷(上)文科数学(三)四川省遂宁市2021-2022学年高三上学期零诊模拟试题(二)数学(文科)试题江西科技学院附属中学2021-2022学年高二上学期期中考试数学(理)试题江西科技学院附属中学2021-2022学年高二上学期期中考试数学(文)试题青海省西宁市大通回族土族自治县2022届高三第一次模拟考试数学(理科)试题青海省西宁市大通回族土族自治县2022届高三第一次模拟考试数学(文科)试题甘肃省武威市凉州区2022届高三下学期质量检测数学(理)试题青海省西宁市大通回族土族自治县2022-2023学年高三下学期开学摸底考试数学(文)试题青海省西宁市大通回族土族自治县2022-2023学年高三下学期开学摸底考试数学(理)试题
7 . 直线l:
(t为参数)的倾斜角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3520e4d78aa29f4b3258d9108fb555c2.png)
A.20° | B.70° | C.160° | D.120° |
您最近一年使用:0次
2021高三·全国·专题练习
解题方法
8 . 直线
(
为参数)的倾斜角是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2536fda85b49e0b3283355ac61693bab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
9 . 在平面直角坐标系中,倾斜角为的直线
的参数方程为
(t为参数) .以坐标原点为极点,以x轴的正半轴为极轴,建立极坐标系,曲线C的极坐标方程是
.
(1)写出直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f79dc1f0d81fec84527c95246c0c6ab.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/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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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2021-09-30更新
|
1126次组卷
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9卷引用:河南省驻马店市环际大联考圆梦计划2021-2022学年高三阶段性考试(二)数学(文科)试题
河南省驻马店市环际大联考圆梦计划2021-2022学年高三阶段性考试(二)数学(文科)试题 环际大联考2021-2022学年高三上学期数学理科试题(二)山西大学附属中学校2022届高三上学期期中数学(理)试题江西省景德镇市第一中学2022届高三12月月考数学(理)试题河南省重点高中2021-2022学年高三上学期阶段性调研联考二理科数学试题【全国校级联考】2018年高考第二次适应与模拟数学(理)试题河南省新乡市辉县市第一高级中学2020-2021学年高二下学期第一次阶段性考试数学(文)试题(已下线)考点57 极坐标与参数方程-备战2022年高考数学典型试题解读与变式河南省重点高中2021-2022学年高三上学期阶段性调研联考三理科数学试题
10 . 在直角坐标系
中,曲线
的参数方程为
(
为参数),以原点
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
.
(1)求直线
与曲线
的普通方程;
(2)若直线
与曲线
交于
,
两点,点
,求
的值.
![](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/e50d48c6b37a6dd39d6eb58d3008e8e2.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d14f80b8a65ce9ff8a0b1c060b593cd1.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)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)
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2021-09-24更新
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4卷引用:河南省2021-2022学年高三上学期调研考试(三)理科数学试题