1 . 在平面直角坐标系中,直线
的参数方程为
(t为参数),以坐标原点O为极点,x轴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
的直角坐标方程;
(2)若直线
与曲线
交于点A,B,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16b308823e7764025addb2a83e362a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f19c5cb583393a12f71173d87193260.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)若直线
![](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/6e9b5e076078240e0c5ad9763a9824d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7384b9afcef2d86a87eee0c66f383052.png)
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2023-05-13更新
|
737次组卷
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6卷引用:四川省凉山彝族自治州2023届高三第三次诊断性检测数学(文)试题
2 . 在平面直角坐标系中,直线l的参数方程为
(t为参数).以原点为极点,x轴的非负半轴为极轴建立极坐标系,曲线C的极坐标方程为
.
(1)求直线l的极坐标方程和曲线C的直角坐标方程;
(2)设点
,直线l与曲线C交于点A,B.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d2a007d1b907662a60a19aea86c9b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822ca9ad42ff37f5a00a7c90b1d96d64.png)
(1)求直线l的极坐标方程和曲线C的直角坐标方程;
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88659e1bac79840020d4494440cfb8e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25346740294b630c2df2a4ac2857de28.png)
您最近一年使用:0次
2023-03-16更新
|
1010次组卷
|
4卷引用:四川省凉山州2023届高三下学期二诊文科数学试题
2023·四川凉山·一模
3 . 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
的直角坐标方程与曲线
的普通方程;
(2)
是曲线
上的点,求
到
距离的最大值.
![](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/2acf669ef308b5d457d3d4950180fd85.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/53dddbfd3238501881f39752cb833f0d.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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