1 . 在极坐标系中,已知圆
,直线
与圆交点的个数______ 个,交点的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdebedd02b4ea57f8562443742086d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc1f08c7640e62e8717abf4d44a6c83.png)
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2 . 已知直线l的参数u”方程为
(t为参数),曲线C的参数方程为
(
为参数).则直线l的倾斜角______ ;设点Q是曲线C上的一个动点,则点Q到直线l的距离的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bcfc3488d5f315194d2a6e911bfffd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aacfa27029fbfdfc63744d30a6aa1e0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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解题方法
3 . 如图所示,
与
是椭圆方程:
的焦点,
是椭圆上一动点(不含上、下两端点),
是椭圆的下端点,
是椭圆的上端点,连接
,
,记直线
的斜率为
.当
在左端点时,△
是等边三角形.若△
是等边三角形,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70eb179f5ba95f46205d0550bc673a69.png)
__ ;记直线
的斜率为
,则
的取值范围是__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/953e3eb51c0c3d841a5fff984d7b7cc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd5a8e1bc9748e5519dcd9981b7eb251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd5a8e1bc9748e5519dcd9981b7eb251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70eb179f5ba95f46205d0550bc673a69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/169c309a205180d9ac766528dab1be8e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/1abfc780-5057-4352-986b-6560a86104df.png?resizew=281)
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4 . 已知点
在椭圆
上运动,则
的最大值是_________ ;点
到直线
:
的最小距离是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf99adccc80f28343fedd8d0aad7429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4166e4e05bfd3ac3e8b739e0541c43ab.png)
您最近一年使用:0次
2020-12-16更新
|
348次组卷
|
3卷引用:浙江省杭州外国语学校2020-2021学年高二上学期期中数学试题
19-20高一·浙江杭州·期末
5 . 已知
是椭圆
上的动点,则
的最大值是__________ ,点
到直线
的最小距离是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82aaa597a5aa6176863eda3fdf83e181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9817a48b819ab971e79bad7b20250294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bafded8ba483ed901ec8903c5e22577.png)
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2020-11-30更新
|
333次组卷
|
4卷引用:浙江省9+1高中联盟2020-2021学年高二上学期期中数学试题
浙江省9+1高中联盟2020-2021学年高二上学期期中数学试题(已下线)【新东方】在线数学161高二上沪教版(2020) 选修第一册 新课改一课一练 第2章 2.5.2简单的参数方程(已下线)【新东方】杭州新东方高中数学试卷396
解题方法
6 . 方程
(t是参数)的普通方程是______ ,与
轴交点的直角坐标是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41aaef59e14bd3dca1aafbba172edbbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解题方法
7 . 将曲线
按照
:
变换后的曲线的最小正周期为______ ,最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cffcea40f2f96ca122675c2ae831535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b5db00b92e7d5987ae6ca9d1aeabe29.png)
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8 . 在直角坐标系
中,已知曲线
的参数方程是
(
是参数),则曲线
的普通方程是__________ ,若以
为极点,
轴的正半轴为极轴,则曲线
的极坐标方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b2d2b82cd298e88b2e8904738ba37c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3693e5e34e87c645add296a6ac6fa67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b2d2b82cd298e88b2e8904738ba37c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c56ef2968e64d60869abb63a3bc388df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e44add7ea8847e500b9ae8929ad46b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b2d2b82cd298e88b2e8904738ba37c.png)
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9 . 在平面直角坐标系
中,圆
的参数方程为
(
为参数),以
为极点,
轴的非负半轴为极轴建立极坐标系.
(1)写出圆
的普通方程__________________ ;
(2)直线
的极坐标方程为
,射线
与圆
的交点为
,
两点,与直线
的交点为
,则线段
的长为_______________ .
![](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/47ba3e8d7ff1ee57a7a935ff75caddd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)写出圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d35a3b888b1c4880a4347adfad2f689.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6b1499efaa11a1152b86fe996f032e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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解题方法
10 . 在空间直角坐标系
中,
,
,且
,则
的最小值是________ ,最大值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e336d6ca2cae3d6e6c3810d7e521a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8489518b9e25d72124ae84020562563e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/486d2af00f64112d3e590307150448f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9a54972a26664eecefe7215745483f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38c58dab711fdf19291a878746a1a3fb.png)
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2020-03-18更新
|
325次组卷
|
3卷引用:天津市河西区2019-2020学年高二上学期期末考试数学试题