名校
解题方法
1 . 已知函数
,(m,a为实数),若存在实数a,使得
对任意
恒成立,则实数m的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3dbeea5eda8e54549b57979eb813761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2560586e247a78785c55740e61c353a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29aef458f2367b76432719f6f56275d8.png)
A.![]() | B.[-![]() | C.![]() | D.![]() |
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2022-07-02更新
|
375次组卷
|
4卷引用:浙江省衢州市常山县天马中学2020届高三上学期入学调研理科数学试题
名校
解题方法
2 . 如图,设椭圆
:
(
),长轴的右端点与抛物线
:
的焦点
重合,且椭圆
的离心率是
.
![](https://img.xkw.com/dksih/QBM/2020/12/12/2612531495436288/2614155589541888/STEM/b2b29fc8-8527-4171-9503-aac099ee0a51.png?resizew=235)
(1)求椭圆
的标准方程;
(2)过
作直线
交抛物线
于
,
两点,过
且与直线
垂直的直线交椭圆
于另一点
,求
面积的最小值,以及取到最小值时直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.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/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://img.xkw.com/dksih/QBM/2020/12/12/2612531495436288/2614155589541888/STEM/b2b29fc8-8527-4171-9503-aac099ee0a51.png?resizew=235)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2020-12-14更新
|
478次组卷
|
9卷引用:2019届浙江省衢州市衢州二中高三下学期高考适应性考试数学试题
名校
3 . 已知椭圆
与双曲线
有相同的焦点
,其中F1为左焦点.点P为两曲线在第一象限的交点,e1、e2分别为曲线C1、C2的离心率,若△PF1F2是以PF1为底边的等腰三角形,则e2﹣e1的取值范围为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d101bd6b9e4d8bda938e85d2ddce2c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
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2020-07-26更新
|
747次组卷
|
5卷引用:2019届浙江省衢州市衢州二中高三下学期高考适应性考试数学试题
名校
4 . 等比数列
中,
,
,函数
,则
( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c782d9274b50e5bace8ee2038796b1ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c916369b892f6a8c1faee030a14e373.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8ed9423b8e8afc41bb22db14e77f0c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-05-04更新
|
412次组卷
|
4卷引用:2019届浙江省衢州二中高三下学期第一次模拟考试数学试题
2019届浙江省衢州二中高三下学期第一次模拟考试数学试题2020届开卷教育联盟全国高三模拟考试(五)数学文科试题(已下线)解密05 导数及其应用(分层训练)-【高频考点解密】2021年高考数学(文)二轮复习讲义+分层训练(已下线)解密05 导数及其应用(分层训练)-【高频考点解密】2021年高考数学(理)二轮复习讲义+分层训练
名校
解题方法
5 . 已知双曲线
(
,
)的左,右顶点是A,B,P为双曲线右支上一点,
且
,则双曲线的离心率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8058e593b5087b15a634f3bfd4d2936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63033d1e54dfabd355ca438be95bc588.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
6 . 定义
,已知
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc660b94599ed199fd98ff4b85a4609f.png)
,若
恰好有3个零点,则实数
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0dded2b07b114830d44cccd28e3690d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2377e6f48122328218115ee3b5edaa52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc660b94599ed199fd98ff4b85a4609f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a06755a9ab2c66f702a9b48773644315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05f0f54dd104b99379c9953c429acf5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2020-04-17更新
|
594次组卷
|
4卷引用:2019届浙江省衢州市衢州二中高三下学期高考适应性考试数学试题
名校
7 . 已知直线
和平面
,若
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe920cd78db25f5b4df37d066e57800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b6e422b2e6f6dada4d8c369559a077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df0d37b44de48de51555fa95d94e33f1.png)
A.充分不必要条件 | B.必要不充分条件 | C.充分必要条件 | D.不充分不必要 |
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2020-04-13更新
|
346次组卷
|
4卷引用:2019届浙江省衢州市第二中学高三下学期第二次模拟考试数学试题
8 . 设直线
:
与双曲线
:
的两条渐近线分别交于
,
两点,若线段
的中垂线经过双曲线
的右焦点
,则双曲线的离心率是____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0536cdfb8de47dc5fadafec2159b6a90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50fe7ad2404879870c9bf18bf03fdf2d.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/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7615495e833d173a8845b19405ba3a10.png)
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9 . 设函数
是定义在
上的可导函数,其导函数为
,且有
,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b8691eed001f5392a7778ab86bccea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c5c62d0621b03aa87b6a0d19088ceab.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
10 . 已知椭圆
:
的上顶点为
,且离心率为
.
(1)求椭圆
的方程;
(2)设
是曲线
上的动点,
关于
轴的对称点为
,点
,直线
与曲线
的另一个交点为
(
与
不重合),过
作直线
,垂足为
,是否存在定点
,使
为定值?若存在求出
的坐标,不存在说明理由?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d7ffb7889a31b267a85f1ea238138e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fe413b12ffabfb252121aa2eaa31017.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d7ffb7889a31b267a85f1ea238138e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a8be8ee58e4c4622afa6ce4ea73817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea650891c83e179e14bd825a7bfe224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
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