名校
1 . 已知曲线
对坐标平面上任意一点
,定义
.若两点
满足
,称点
在曲线
两侧.记到点
与到
轴距离和为5的点的轨迹为曲线
,曲线
,若曲线
上总存在两点
在曲线
两侧,则实数
的取值范围是_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/735ba4f3bb4ce2114682daa3ecf19fa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/174861299cb1b64e5304c25c70eb216f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba794d5df10924e9e0672e70834e3966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ad58997b9dc0b341c9af08f0cd1fbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cb816267961a90cfe0ffc18907426fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ad58997b9dc0b341c9af08f0cd1fbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d06d31c9a2298b02664a86ddd91b1121.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/312ff07bdf7332953dff59b246a99655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f44755c5fee4b90266eac73ad47a128.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-03-23更新
|
50次组卷
|
4卷引用:高三数学开学摸底考02(上海专用)
(已下线)高三数学开学摸底考02(上海专用)上海市南洋模范中学2020-2021学年高二上学期期末数学试题上海市实验学校2021-2022学年高二下学期期中数学试题(已下线)核心考点04抛物线、曲线与方程(1)
名校
2 . 如图,把半椭圆:
(
)与圆弧
(
)合成的曲线称作“曲圆”,其中
为
的右焦点,如图所示,
、
、
、
分别是“曲圆”与
轴、
轴的交点,已知
,过点
且倾斜角为
的直线交“曲圆”于
、
两点(
在
轴上方).
![](https://img.xkw.com/dksih/QBM/2021/10/25/2836806852558848/2837660124536832/STEM/9f51f78fb59747b496eddb90cb91cfab.png?resizew=205)
(1)求椭圆
和圆弧
的方程;
(2)当点
、
分别在第一、第三象限时,求△
的周长的取值范围;
(3)若射线
绕点
顺时针旋转
交“曲圆”于点
,当
时,请用
表示
、
点的坐标,并求
的面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b77a6ac05866b8d8875a690122b5a998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8017c2cc36b1e14b0e179f5d654279ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ba2238d6afe0187534155dd9ac48c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82a5421934348a612982ca099723b63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.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/21ab6ee7095494e9165f08edde723100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/2021/10/25/2836806852558848/2837660124536832/STEM/9f51f78fb59747b496eddb90cb91cfab.png?resizew=205)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82a5421934348a612982ca099723b63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4455cb5ef8fa02f8740a01ea658ed7fb.png)
(2)当点
![](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/1253885737cd104e24ddd2d4c96e4c86.png)
(3)若射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c2293f93791a597bf0162411f3395f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddeeacc8f27be51458407c778c1055fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe5281d5d60f31e5500b88de1702d4d5.png)
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3 . 定义:若对非空数集
中任意两个元素
、
,实施“加减乘除”运算(如
、
、
、
),其结果仍然是P中的元素,则称数集
是一个“数域”.下列四个命题:①有理数集
是数域;②若有理数集
,则数集
是数域;③数域必是无限集;④存在无穷多个数域;上述命题错误的序号是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f2416d1f75a45a314331146550832e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b98b248f3c184b8c8797e99c2cf924ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64e6c98026e7a1c5d1264166e677a87.png)
![](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/765a161e3f4a03a2aa97703b3b50eb44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
2020-10-11更新
|
264次组卷
|
4卷引用:上海市行知中学2021届高三上学期开学考试数学试题
上海市行知中学2021届高三上学期开学考试数学试题(已下线)2.1 命题、定理、定义-2021-2022学年高一数学上册同步培优训练系列(苏教版2019)沪教版(2020) 必修第一册 精准辅导 第1章 1.2(1) 命题(已下线)第05讲 命题、定理、定义-【暑假自学课】(苏教版2019必修第一册)