1 . 在平面直角坐标系
中,曲线
的参数方程为
(
为参数).以坐标原点为极点
轴的正半轴为极轴,建立极坐标系,曲线
的极坐标方程为
.
(1)求曲线
的普通方程和曲线
的直角坐标方程;
(2)点
,
分别为曲线
,
上的动点,求证:
.
![](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/c7628a182e9dd68153a521c5397af24b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925b34a1e7a48f450d883f9a0197e5c9.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e1da98c95d573256f89e72ca47392e0.png)
您最近一年使用:0次
2020-08-16更新
|
80次组卷
|
10卷引用:河北省衡水市2020届高三下学期六月联考数学(文)试题
河北省衡水市2020届高三下学期六月联考数学(文)试题湖南省永州市六县2020届高三下学期6月第二次联考数学(文)试题湖南省永州市六县2020届高三下学期6月第二次联考数学(理)试题广东省茂名市五校联盟2020届高三下学期第二次联考数学(理)试题广东省茂名市五校联盟2020届高三下学期第二次联考数学(文)试题湖南省永州市宁远、道县、东安、江华、蓝山、新田2020届高三下学期六月联考文科数学试题(已下线)专题22 坐标系与参数方程-2020年高考数学(理)母题题源解密(全国Ⅱ专版)(已下线)专题22 坐标系与参数方程-2020年高考数学(文)母题题源解密(全国Ⅱ专版)湖南省永州市宁远、道县、东安、江华、蓝山、新田2020届高三下学期六月联考理科数学试题宁夏吴忠市青铜峡第一中学2020-2021年高二下学期第二次月考数学(理)试题
2 . 在极坐标系
中,曲线
的极坐标方程为
,直线
的极坐标方程为
,设
与
交于
两点,
中点为
,
的垂直平分线交
于
.以
为坐标原点,极轴为
轴的正半轴建立直角坐标系
.
(1)求
的直角坐标方程与点
的直角坐标;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42137d6ea5076b1385940d3450b8d087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72339e813823a31e3436cf7290af5881.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.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/7ee31829d0d4d5f779a957d7df8058ab.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87482d4cc8571f6836c3638d6aeb9fed.png)
您最近一年使用:0次
2020-08-16更新
|
420次组卷
|
15卷引用:2020届河北省保定市易县中学高三模拟数学(文)试题
2020届河北省保定市易县中学高三模拟数学(文)试题2020届河北省保定市易县中学高三模拟数学(理)试题2020届四川省宜宾市高三第二次诊断测试理科数学试题2020届四川省宜宾市高三第二次诊断检测数学(文科)试题广东省广州市天河外国语学校2019-2020学年高三下学期线上测试数学(理)试题河南省大联考2020届高三阶段性测试(七)理科数学试题河南省6.18大联考2019-2020学年高中毕业班阶段性测试(七)文科数学试题(已下线)专题22 坐标系与参数方程-2020年高考数学(理)母题题源解密(全国Ⅱ专版)(已下线)专题22 坐标系与参数方程-2020年高考数学(文)母题题源解密(全国Ⅱ专版)安徽省怀远一中、蒙城一中、淮南一中、颍上一中、涡阳一中2020届高三5月五校联考数学理科试题(已下线)专题22 坐标系与参数方程-2020年高考数学(文)母题题源解密(全国Ⅰ专版)(已下线)专题22 坐标系与参数方程-2020年高考数学(理)母题题源解密(全国Ⅰ专版)贵州省思南中学2023届高三数学模拟试题四川省宜宾市叙州区第一中学校2019-2020学年高二下学期第四学月考试数学(理)试题四川省宜宾市叙州区第一中学校2019-2020学年高二下学期第四学月考试数学(文)试题
名校
3 . 在直角坐标系
中,直线
的参数方程为,
,(
为参数).以坐标原点为极点,以
轴的正半轴为极轴,建立极坐标系,圆
的极坐标方程为
.
求证:直线
与圆
必有两个公共点;
已知点
的直角坐标为
,直线
与圆
交于
,
两点,若
,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/80ec4ec4b327af5ca3338b5045a707aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.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/2837cc78b93d301232934bcaf5fe8e1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf6c84731e5e1bd335ecfc2d36c3d81.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/1f53190d6ead827a6338b9de847aeaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.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/913181ad4837c0c633367878d2d34d26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
您最近一年使用:0次
4 . 在直角坐标系
中,直线
的参数方程为
(
为参数),以O为极点,
轴的正半轴为极轴的极坐标系中,曲线
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c343c8fb0ffd723d7f35200adf71159.png)
(1)写出曲线
的直角坐标方程;
(2)设点
,
与
相交于A,B两点,与
相交于C,D两点,证明:
![](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/91c739b935d4b9e06c8ddf7670efeec2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95349927ea0096092d1f4733b55abe5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c343c8fb0ffd723d7f35200adf71159.png)
(1)写出曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9feabc99f62ee569b460e61526e2e.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b0fc22034c9db29b23c4cf9faf5af6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01eeff6623967669c2d97fed6c035e11.png)
您最近一年使用:0次
2019-12-26更新
|
299次组卷
|
2卷引用:2019年12月河北省沧州市普通高中高三上学期教学质量监测理科数学
名校
5 . 已知曲线
的极坐标方程为
,倾斜角为
的直线
过点
.
(1)求曲线
的直角坐标方程和直线
的参数方程;
(2)设
是过点
且关于直线
对称的两条直线,
与
交于
两点,
与
交于
两点.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b01da27c299e595731d6d57cf4ace0.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/5946cdc295468832011cb95bf233c7f5.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50297ad9f7256b4d2efc3462289f18b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c29a7e8eea08197bf53164a560bee58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8bc5614c9fb23adc6482b7a728817da.png)
您最近一年使用:0次
2019-03-20更新
|
622次组卷
|
7卷引用:2016届河北省衡水中学高三下学期二调考试文科数学试卷
名校
6 . 在平面直角坐标系xOy中,圆O的方程为
,以坐标原点为极点,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
.
求圆O的参数方程和曲线C的直角坐标方程;
已知M,N是曲线C与x轴的两个交点,点P为圆O上的任意一点,证明:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/259e9a874ba8a4fbc027e01699a81d8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3118358607a1db468929c2b3f3c1e9d0.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/ea57be0e967eaf8e4c29666b82a6ab48.png)
您最近一年使用:0次
2018-12-17更新
|
1026次组卷
|
9卷引用:【全国百强校】河北省武邑中学2019届高三下学期第一次质检数学(理)试题
【全国百强校】河北省武邑中学2019届高三下学期第一次质检数学(理)试题云南省昆明市2018届高三教学质量检查第二次统考理数试题云南省昆明市2018届高三教学质量检查(二统)文科数学试题【全国百强校】宁夏银川市唐徕回民中学2018届高三下学期第四次模拟考数学(理)试题【全国百强校】四川省绵阳中学2018届高三高考三模数学试题(理科)试题四川省内江市威远中学2020-2021学年高三3月月考数学(文)试题四川省内江市威远中学2020-2021学年高三3月月考数学(理)试题四川省绵阳南山中学2021-2022学年高三上学期12月月考数学(文)试题四川省遂宁市射洪中学2021-2022学年高三上学期第四次月考数学文科试题
名校
7 . 已知直线
的参数方程为
(
为参数,
),以坐标原点为极点,以
轴正半轴为极轴建立极坐标系,曲线
的极坐标方程为
,射线
,
分别与曲线
交于
三点(不包括极点
).
(Ⅰ)求证:
;
(Ⅱ)当
时,若
两点在直线
上,求
与
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea0c89112e34d5096a06165c6cbd015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10adc3992efb2badc23f81d36faa206f.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/925b34a1e7a48f450d883f9a0197e5c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0be5c8e545a1251a276a7726d469f25a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2388a1c07fdee1a7accfb6882e93c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59fec83a7cecffd20f3fbd85dba6bc4d.png)
(Ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91950023a67715fe5b61f1c9d1d6f87f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da6b93dbe5272a5167ff4e2918bec864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
2018-03-14更新
|
1106次组卷
|
5卷引用:【全国百强校】河北省武邑中学2018届高三下学期期中考试数学(理)试题
名校
8 . 在直角坐标系
中,曲线
的参数方程为
(其中
为参数,
),以坐标原点
为极点,
轴的正半轴为极轴建立的极坐标系中,直线
:
与
:
相交于
,
两点,且
.
(1)求
的值;
(2)直线
与曲线
相交于
,
两点,证明:
(
为圆心)为定值.
![](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/891ac8cf2caafc93b348719b8eb630ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.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/9686217c05af15b66a36fa55bbc96d42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075115a5bc60e9eae149cfae175994fc.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/20ccc37b189fa2cbc269ca0b233dac37.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.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/e3a570804c380fd5e821252763f6c4cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
您最近一年使用:0次
2018-08-01更新
|
983次组卷
|
3卷引用:河北省衡水中学2018届高三考前适应性训练6月1日第3天数学(理)试题
9 . 选修4-4:坐标系与参数方程
已知直线
过点
,且倾斜角为
,以坐标原点为极点,
轴的正半轴为极轴建立极坐标系,圆
的极坐标方程为
.
(1)求圆
的直角坐标方程及直线
的参数方程;
(2)设直线
与圆
的两个交点分别为
,
,求证:
.
已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f449cadb49859b80c31ef1f68bfe81b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.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/925b34a1e7a48f450d883f9a0197e5c9.png)
(1)求圆
![](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/565c471ea5cd2e8697b618158ee21daa.png)
您最近一年使用:0次
10 . 选修4-4:坐标系与参数方程
已知点
在椭圆
上,将射线
绕原点
逆时针旋转
,所得射线
交直线
于点
.以
为极点,
轴正半轴为极轴建立极坐标系.
(1)求椭圆
和直线
的极坐标方程;
(2)证明::
中,斜边
上的高
为定值,并求该定值.
已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689e1011525feb927bef1c8c81961c0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/314bf8f0ce875b4dd66ba692fd6a75c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)证明::
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec0aa7c6e78055e4bdde1ee852c436bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
您最近一年使用:0次