1 . 设椭圆
的右焦点为
,离心率为
,
为圆
:
的圆心.
(1)求椭圆的方程;
(2)已知过椭圆左焦点
的直线
(斜率存在且不为0)交椭圆于
,
两点,过
且与
垂直的直线
与圆
交于
,
两点,求四边形
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95588d7be622c5dadb69a5b705219f6a.png)
(1)求椭圆的方程;
(2)已知过椭圆左焦点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/9c593ebdb2f1934a0cb56f8c44f454f8.png)
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2022-04-15更新
|
509次组卷
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2卷引用:黑龙江省齐齐哈尔市恒昌中学校2021-2022学年高二上学期期中考试数学试题
2 . 已知平面向量
,
,
,满足
,
对任意实数
恒成立,
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e391319a3028e4d435147fd1b36a50ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/429bb9e078c7fa114a89c971cc25f3d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b7d8e73a64cb5be5a4fb718270f8d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab432c05aa7a81b1e95a072cb1febabe.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-07-08更新
|
1940次组卷
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2卷引用:黑龙江省哈尔滨市第三中学2021-2022学年高二上学期10月月考数学试题
名校
3 . 在平面直角坐标系
中,已知
为三个不同的定点,且A,B,C不共线,.以原点
为圆心的圆与线段
都相切.
(Ⅰ)求圆
的方程及
的值;
(Ⅱ)若直线
与圆
相交于
两点,且
,求
的值;
(Ⅲ)在直线
上是否存在异于
的定点
,使得对圆
上任意一点
,都有
为常数
?若存在,求出点
的坐标及
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0359a0c624bbc1b0f97fc268252c0b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942e6dafcfcbf0682856b9f25178694d.png)
(Ⅰ)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
(Ⅱ)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6149c41ba79bcc7f35418dacbd4b21de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f27711fd7536507fd7bee0f5fdea1c10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(Ⅲ)在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.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/87549bc0f80f90aa634baa24d56473fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2019-07-08更新
|
3356次组卷
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11卷引用:黑龙江省哈尔滨市第三中学2021-2022学年高二上学期10月月考数学(普通班)试题
黑龙江省哈尔滨市第三中学2021-2022学年高二上学期10月月考数学(普通班)试题(已下线)2.4 圆的方程-2021-2022学年高二数学尖子生同步培优题典(人教A版2019选择性必修第一册)广东省佛山市南海区南海执信中学2021-2022学年高二上学期第二次段测数学试题吉林省长春市东北师范大学附属中学2021-2022学年高二上学期10月阶段考试数学(理)试题上海交通大学附属中学2019-2020学年高二上学期期中数学试题安徽省卓越县中联盟2020-2021学年高二上学期期中联考数学(理)试题第二章 直线与圆的方程单元测试(巅峰版)-【新教材优创】突破满分数学之2022-2023学年高二数学重难点突破+课时训练 (人教A版2019选择性必修第一册)山东省德州市夏津县第一中学2023-2024学年高二上学期10月月考数学试题北京市朝阳区2018-2019学年高一下学期期末数学试题江苏省盐城市响水中学2019-2020学年高一下学期学情分析考试(二)数学试题上海市金山中学2021届高三上学期期中数学试题