名校
1 . 在平面直角坐标系
中,直线
的参数方程为
(
为参数,
).以坐标原点
为极点,
轴的正半轴为极轴建立极坐标系,圆心为
的圆
过极点.
(1)求圆
的极坐标方程;
(2)若直线
与圆
恰好相切,求
的正切值.
![](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/f2466202b260e7343cea0d21f373432e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c516619a5b3c6676e6734efa754e5d.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/369d9b11fceda9728f29b186111ac2b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求圆
![](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/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
名校
2 . 已知
是抛物线
的焦点,过点
且斜率为2的直线
与
交于
两点,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/7bcb2a66ec3bfca163f389a1796adb90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
A.4 | B.3 | C.2 | D.1 |
您最近一年使用:0次
2023-03-26更新
|
1344次组卷
|
6卷引用:广东省汕头市潮阳一中明光学校2024届高三上学期11月期中数学试题
名校
3 . 在直角坐标系
中,曲线
的参数方程为
(t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
.
(1)求
和
的直角坐标方程;
(2)直线
与C交于MN两点,求
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/35d898de3e32d7cd0cea11e5e3eb7581.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/18baf286c139692f7482b4f72dcf4447.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
您最近一年使用:0次
2024-01-05更新
|
568次组卷
|
2卷引用:广东省广州市从化中学2020届高三上学期第三次月考数学(理)试题
4 . 直角坐标系
中,曲线
的参数方程为
(
为参数),曲线
.
(1)在以
为极点,
轴的正半轴为极轴的极坐标系中,求
、
的极坐标方程;
(2)折线
与
、
在第一象限的交点分别为
、
,在第二象限的交点分别为
、
,求
的面积
![](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/d611118a5b45b7a2c250e5115936b65d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9724fd240c60553bffc050d502e9a18a.png)
(1)在以
![](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/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)折线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10306d2741184823a1784f3f26c73343.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
解题方法
5 . 已知曲线
的参数方程为
(
为参数),以直角坐标系原点
为极点,
轴正半轴为极轴建立极坐标系.
(1)求曲线
的极坐标方程;
(2)设
,若
与曲线
相交于异于原点的两点
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcdbe7743ca54add864ccc966b09e39.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)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acfbff6c5226345e724a699a98a97ca9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.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/e2b83beedb3438153e6f728545fe3e03.png)
您最近一年使用:0次
解题方法
6 . 在平面直角坐标系中,点
的坐标
满足
(
为参数,且
).若点
在直线
上,则
长度的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d640b615df85e491b4e281d70b3a1de1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/388d3d213a231cccf854a29eef611d01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3f999bcdcdc1b9d56e0639cadd96dbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 在直角坐标系中,以原点为极点,x轴的正半轴为极轴建立极坐标系,已知曲线
,直线l的参数方程为:
(t为参数),直线l与曲线C分别交于
两点.
(1)写出曲线C和直线l的普通方程;
(2)若点
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26eba877f6b8ae45c09f2263b5b82a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2736bd9f9f92cc642498a940615f0fe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
(1)写出曲线C和直线l的普通方程;
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b621d0d8d28fe08b0833e454099f10ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9b57ecee5f1eaa2fa61f09820fbbac1.png)
您最近一年使用:0次
2023-02-08更新
|
1089次组卷
|
20卷引用:广东省广州大学附属中学2019-2020学年高三下学期第三次线上测试数学(理)试题
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8 . 已知极坐标的极点在平面直角坐标系的原点O处,极轴与x轴的正半轴重合,且长度单位相同.直线l的极坐标方程为:
,若点P为曲线
,(
为参数)上的动点,其中参数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f017a2571b924da5048a42a22244eca1.png)
(1)试写出直线l的直角坐标方程及曲线C的普通方程;
(2)求点P到直线l距离的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b203a3df62ec9aa5ac2eda71d2fcb331.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfcae7ccc407799dd94bb0781c7ef076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f017a2571b924da5048a42a22244eca1.png)
(1)试写出直线l的直角坐标方程及曲线C的普通方程;
(2)求点P到直线l距离的最大值.
您最近一年使用:0次
9 . 已知过点
的直线
的参数方程是
(
为参数),以平面直角坐标系的原点为极点,
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)若直线
和曲线
交于
,
两点,且
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96bdb666d09b92d3c6e87e00e5790a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/113d7f69fbd06d8a3bd9e842cadaf470.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/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/9295c6ffe6fe03c4636fb149e1ab3897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
10 . 已知点
在圆
上,已知
,
,则
的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f2b1f4120365cb6ee4925fe417563f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/557437a8641a61bf64c1e40f2bbf72a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a33e5d0dbdd0f15854f0d7dd8b53058.png)
您最近一年使用:0次