1 . 内接于
的菱形周长可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f64b7ab668d61bcb8ec6d195c672a81e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 在直角坐标系
中,曲线
的参数方程为
(
为参数),以坐标原点
为极点,
轴正半轴为极轴建立极坐标系,曲线
的极坐标方程为
,直线
的极坐标方程为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ba661d645f716c8b9c73f80f3da026.png)
(1)求:①曲线
的普通方程;
②曲线
与直线
交点的直角坐标;
(2)设点
的极坐标为
,点
是曲线
上的点,求
面积的最大值.
![](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/64f23bb05e586ec0a3d42bdf95399ff5.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/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/094ab3a9f3a40f6fc88a4184371dc745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ba661d645f716c8b9c73f80f3da026.png)
(1)求:①曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
②曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880c6f7958454eb391960173b0f83ad4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f02028a3847c4807c2d3cf0ea7efb8.png)
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名校
解题方法
3 . “曼哈顿距离”是由赫尔曼·闵可夫斯基所创的词汇,是一种使用在几何度量空间的几何学用语.在平面直角坐标系中,点
,
的曼哈顿距离为
.若点
,Q是圆
上任意一点,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724d316a295242846ae0f70a18e1e659.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac51d5b0a1b6d229ca8e73300843e3b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/845c73ecca715e281ee13defac47f1e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dacabbd6406acbb4afb048e9cfa1bcf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34f36e22874cc6dd08e960ecdcca58a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/135b08696706de37e1eab5f59697674c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
4 . “曼哈顿距离”是由赫尔曼闵可夫斯基所创的词汇,是一种使用在几何度量空间的几何学用语,例如在平面直角坐标系中,点
,
、
,
的曼哈顿距离为:
.若点
,点
为圆
上一动点,则
的最大值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/033ccd1ebf578e1727d7907379fa828a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a350eb41c3b7e4face9c3299eff9d49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66e3c5d2e75308c341c6ddda9402eb64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24529eadaef974ec0625f8ca40682e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a60483e0456f3ebbb5c969ff660e3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dbcf0320d94734aedd3d4e2e31b9827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ab11ba6b230c4309e1b899eb58daae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/135b08696706de37e1eab5f59697674c.png)
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解题方法
5 . 在平面直角坐标系xOy中,已知直线l的方程为
,曲线C的参数方程为
(
为参数且
),以坐标原点O为极点,x轴的正半轴为极轴建立极坐标系.
(1)求曲线C的极坐标方程;
(2)若已知射线
,其中
且
与曲线C交于点M,与直线l交于点N,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a325224b404376bcedc4129b56c173.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5806e9568f8c8ced0b6719ba6fb3a75d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f70b48360dc2b8c627bc4930dd509c0d.png)
(1)求曲线C的极坐标方程;
(2)若已知射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea7169b5c5de510de193d2b5dad5118.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a28bab4caf2c92e840962eb3a11459b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/309f416206e5f11c67408c3af0f9b4ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86971cee973445cfa3e853edf7ffba10.png)
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2022-01-15更新
|
1764次组卷
|
6卷引用:贵州省贵阳市五校2022届高三11月联合考试数学(理)试题(三)
贵州省贵阳市五校2022届高三11月联合考试数学(理)试题(三)(已下线)数学-2022届高三下学期开学摸底考试卷C(理科)(新课标专用)(已下线)数学-2022届高三下学期开学摸底考试卷C(文科)(新课标专用)(已下线)必刷卷01 (理)-2022年高考数学考前信息必刷卷(全国乙卷)(已下线)必刷卷01(文)-2022年高考数学考前信息必刷卷(全国乙卷)四川省绵阳市三台中学校2024届高三下学期第二学月测试理科数学试题
6 . 在平面直角坐标系
中,曲线
的参数方程为
(
为参数,
).
(1)求曲线
的直角坐标方程;
(2)已知直线
的参数方程为
(
为参数,
),点
,并且直线
与曲线
交于
两点,求
.
![](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/e4bf298bac6afc553ed0211c479a7b94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995ec593baa4ef50b6d87c78380953d7.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc0bf1a42bc61d6b3c1e77f060d06d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995ec593baa4ef50b6d87c78380953d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/449d2d8415e63f7fdd67d19af1c09a16.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/5026e1d5fcf2498b2e5ec5da4e0b11b2.png)
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2022-01-10更新
|
1834次组卷
|
3卷引用:江西省五市九校(分宜中学、高安中学、临川一中、南城一中、彭泽一中、泰和中学、玉山一中、樟树中学、南康中学)协作体2022届高三第一次联考数学(理)试题
名校
解题方法
7 . 在平面直角坐标系
中,已知直线
与
轴,
轴分别交于
,
两点,点
在圆
上运动.若
恒为锐角,则实数
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31c4f39399ec245a67db2933ed639f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6f01cf3e63de3d8216f3596ea4b0626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45a8a837c11c07073da3ff751d70278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2021-11-05更新
|
496次组卷
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3卷引用:河北省石家庄市二十七中2021-2022学年高二上学期第一次月考(10月)数学试题
21-22高三上·上海浦东新·阶段练习
名校
解题方法
8 . 设点
在椭圆
上,点
在直线
上,则
的最小值为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2009bbb16442829022f71f67954f6706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99e4a41cbe3d1f25154602dee11d36ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e5706dc8e7751b5a8163359a648f14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07225849d13e453ce2efbac7d5cfc0b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb84a0aa698a77f0ae6ae54a44d4e154.png)
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名校
解题方法
9 . 在平面直角坐标系中,定义
、
两点间的直角距离为
,如图,
是圆
当
时的一段弧,
是
与
轴的交点,将
依次以原点
为中心逆时针旋转
五次,得到由六段圆弧构成的曲线.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de49f3cfe85c4ae1d7ecb30075848e87.png)
_______ .若点
为曲线上任一点,则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6f5adf13b4214666292dd64b947741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af405a054bfe7fb7ce40e48d816467e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bea37e25ba5e11e5e2c428996f74e5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/978ce4ca52b9c915574d50d64ce348b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239ff12eb6cba0100f0dadb847c90ea8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de49f3cfe85c4ae1d7ecb30075848e87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4298f459599feb1a5ed4dce607b8e3d.png)
![](https://img.xkw.com/dksih/QBM/2021/5/8/2716842768228352/2718602291453952/STEM/3903e3564b0e40039bf873d70ad1e715.png?resizew=166)
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2021-05-11更新
|
982次组卷
|
5卷引用:福建省南平市2021届高三二模数学试题
福建省南平市2021届高三二模数学试题湖北省武汉市第二中学2021-2022学年高三上学期暑期模拟数学试题(已下线)专题14 参数方程与极坐标方程-备战2022年高考数学(文)母题题源解密(全国乙卷)(已下线)专题27 直线与圆的综合应用-1北京市大兴区2023-2024学年高二上学期期中检测数学试题
名校
10 . 在平面直角坐标系
中,曲线
的参数方程为
(
为参数且
),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)说明
是哪种曲线,并将
的方程化为极坐标方程;
(2)设点
的极坐标为
,射线
与
的交点为
(异于极点),与
的交点为
(异于极点),若
,求
的值.
![](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/86cbc69a6dfbb156d5f1dc5155c7136e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdf13332b32a846c4b0d76c4a41724fc.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/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925b34a1e7a48f450d883f9a0197e5c9.png)
(1)说明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ef2611fdb7d020c3abd494050a940f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5e775061b3e42b58cf1e4f0c9748d3b.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/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0814a340c544d5f5d8eef8bc00c434b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5ff741ddf4211f6f20b63220bc8893.png)
您最近一年使用:0次
2021-03-21更新
|
2464次组卷
|
13卷引用:湘豫名校联考2020-2021学年高三(3月)理科数学试题
湘豫名校联考2020-2021学年高三(3月)理科数学试题湘豫名校联考2020-2021学年高三(3月)文科数学试题湘豫名校联盟2021届高三3月联考数学(文)试题(已下线)押第22题 极坐标与参数方程-备战2021年高考数学(文)临考题号押题(全国卷1)(已下线)押第22题 极坐标与参数方程-备战2021年高考数学(理)临考题号押题(全国卷1)江西省萍乡市2022届高三第一次质量检测数学(文)试题江西省萍乡市2022届高三第一次质量检测数学(理)试题四川省成都市成华区成都列五中学2021-2022届高三上学期数学(理)入学摸底考试试题四川省成都列五中学2022-2023学年高三上学期入学摸底考试数学(理科)试题江西省抚州市金溪县第一中学2023届高三上学期第一次月考数学(理)试题(已下线)第01讲 极坐标与参数方程(练)四川省绵阳南山中学实验学校2023届高三补习班下学期2月考试考试理科数学试题四川省成都市石室中学2021-2022学年高二下学期零诊模拟练习文科数学试题