1 . 已知函数
,其中
.若不等式
有解,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba8b4ea61f73ad1a1b85474b9d53b20e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04bbcc3eb28e550b30e7ba6eaa09fe8f.png)
A.![]() | B.![]() |
C.方程![]() | D.方程![]() |
您最近一年使用:0次
2023-03-20更新
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390次组卷
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3卷引用:湖南省邵阳市2022-2023学年高二上学期12月大联考数学试题
解题方法
2 . 已知函数
,以下结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b142e52baf0024a255739ed0b4855bf.png)
A.它是偶函数 |
B.它是周期为![]() |
C.它的值域为![]() |
D.它在![]() |
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2022-12-12更新
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3卷引用:湖南省岳阳教研联盟2022-2023学年高二上学期期中联考数学试题
名校
解题方法
3 . 已知双曲线
的离心率为
,双曲线
的左、右焦点分别为
,点
在双曲线
的右支上,且
.
(1)求双曲线
的标准方程;
(2)过点
的直线
交双曲线
于
两点,且以
为直径的圆过原点
,求弦长
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450f820d4598d103c374bee7d2690579.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fb203d8908ffd00fc19e6d8b5f3eae4.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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2022-11-16更新
|
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6卷引用:湖南省怀化市第三中学2022-2023学年高二上学期期中数学试题
名校
解题方法
4 . 已知直线
与椭圆
交于点A,B,与x轴交于点C,与y轴交于点D.当直线l经过椭圆E的左顶点时,椭圆E两焦点到直线l的距离之比为
.
(1)求椭圆E的离心率;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e5828f63192614299baddc71f828a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b916dbb50387778f1ae83a2aded8ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89f592fb2e4eba40eabf50d2c063927.png)
(1)求椭圆E的离心率;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04240283b1f69aefbee17c69915e8f1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45451b805ccefa04136ca815bff137c1.png)
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2022-10-23更新
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923次组卷
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2卷引用:湖南省长沙市四校2022-2023学年高二上学期期中联考数学试题
5 . 在平面直角坐标系中,椭圆
的离心率为
,焦距为2.
(1)求椭圆C的方程;
(2)动直线
交椭圆于A、B两点,D是椭圆C上一点,直线OD的斜率为
,且
.T是线段OD延长线上一点,且
,
的半径为
,OP,OQ是
的两条切线,切点分别为P,Q,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fad038d2b0f4007c4e638c40a23e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137f98c6367086cc159aaa5f2e45ee7d.png)
(1)求椭圆C的方程;
(2)动直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d56ab9727d7867b8128803e09491f87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a425978da20cebf8c4c63953579e7b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97376fa1425a1908f06a9c9c0592b6a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42aae960a1203c6c6d92a97d866f032b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b51828f49e9faf002eb44e12076e6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad7d23d4f032debf57dcb7f40d3c9c53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b51828f49e9faf002eb44e12076e6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7af49af0bfc51cf112e4aba6e02816.png)
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2022-10-12更新
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7卷引用:湖南省长沙市雅礼中学2022-2023学年高二上学期第一次月考数学试题
名校
解题方法
6 . 已知
、
分别是椭圆
的左右顶点,
为坐标原点,
,点
在椭圆
上.过点
,且与坐标轴不垂直的直线
交椭圆
于
、
两个不同的点.
(1)求椭圆
的标准方程;
(2)若点
落在以线段
为直径的圆的外部,求直线
的斜率
的取值范围;
(3)当直线
的倾斜角
为锐角时,设直线
、
分别交
轴于点
、
,记
,
,求
的取值范围.
![](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/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0c6d5e10b0164e59c49d56d157be9f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500272f9f312e2bc0f32e4afc058db41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bab45799f9f8d0374f529e8b30a0b27.png)
![](https://img.xkw.com/dksih/QBM/2022/10/10/3084881575051264/3085290479992832/STEM/90d25792640e4da9adc7d92bb7ba8b2c.png?resizew=11)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://img.xkw.com/dksih/QBM/2022/10/10/3084881575051264/3085290479992832/STEM/90d25792640e4da9adc7d92bb7ba8b2c.png?resizew=11)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)当直线
![](https://img.xkw.com/dksih/QBM/2022/10/10/3084881575051264/3085290479992832/STEM/90d25792640e4da9adc7d92bb7ba8b2c.png?resizew=11)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cfc9b28711b4e9c4b554202fe46fe6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0bd0693e932eb65b222f3453e04280b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
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2022-10-11更新
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1776次组卷
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7卷引用:湖南省怀化市第三中学2022-2023学年高二上学期期中数学试题
湖南省怀化市第三中学2022-2023学年高二上学期期中数学试题湖北省武汉市第三中学2022-2023学年高二上学期期中模拟数学试题(已下线)期末押题预测卷(拔高卷)(考试范围:选择性必修第一册)-【单元测试】2022-2023学年高二数学分层训练AB卷(苏教版2019选择性必修第一册)上海市洋泾中学2023届高三上学期10月月考数学试题(已下线)考向36 直线与圆锥曲线最全归纳(十六大经典题型)-3(已下线)专题33 圆锥曲线中的向量问题-1上海市敬业中学2024届高三上学期10月月考数学试题
名校
解题方法
7 . 已知点
在椭圆C:
(
)上,椭圆C的左、右焦点分别为F1,F2,
的面积为
.
(1)求椭圆C的方程;
(2)设点A,B在椭圆C上,直线PA,PB均与圆O:
(
)相切,试判断直线AB是否过定点,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c9708ef0dc6d6f5dcf6596d3e4f6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/839c7616cd0d90265f4b2c9c021254fe.png)
(1)求椭圆C的方程;
(2)设点A,B在椭圆C上,直线PA,PB均与圆O:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3503d330608e7138d1b529aba4512fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f7910d0e12b74383a4914078b562038.png)
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2022-10-10更新
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4卷引用:湖南省长沙市长郡中学2022-2023学年高二上学期第一次月考数学试题
名校
解题方法
8 . 已知曲线
在
处的切线方程为
.其中a、b均为实数.
(1)求
的值;
(2)若
是函数
的极小值点,证明:
.
参考数据:
,
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c3f016897d3a48b9284ee25be6b864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69f2d83a969d5e77227283657b2e3cf1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f2416d1f75a45a314331146550832e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce5a92f518165ab26d1d7b252b06996.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1e3e23692be2dac113f44963a841b2.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0465a01eacc172ac04f6df4c3cc972b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/587c2eff0049d62111eb5bbb1ea4ae67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9966cd01308069d06d974ebfb123619e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ebe8b6d7bf7d161100077d5549a0030.png)
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解题方法
9 . 函数
.若对任意
,都有
,则实数m的取值范围为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f7d4b7fca3cba8429450c429382a95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
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2022-07-07更新
|
535次组卷
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2卷引用:湖南省郴州市2021-2022学年高二下学期期末数学试题
名校
10 . 蹴鞠(如图所示),又名蹴球,蹴圆,筑球,踢圆等,蹴有用脚蹴、踢、蹋的含义,鞠最早系外包皮革、内实米糠的球因而蹴鞠就是指古人以脚蹴、蹋、踢皮球的活动,类似于今日的足球.2006年5月20日,蹴鞠作为非物质文化遗产经国务院批准已列入第一批国家非物质文化遗产名录.已知某鞠(球)的表面上有四个点
,
,
,
,且球心
在
上,
,
,
,则该鞠(球)的表面积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/3/5135d67b-277f-4bb7-8ab0-4f40ee5d44d4.png?resizew=116)
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08313da7b66283d2e0b3987f3e6761f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b703e6a4d1a87563dc2a086bc38563.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/3/5135d67b-277f-4bb7-8ab0-4f40ee5d44d4.png?resizew=116)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-07-07更新
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5卷引用:湖南省长沙市长郡中学2022-2023学年高二上学期入学考试(暑假作业检测)数学试题