解题方法
1 . 已知常数
,设
,
(1)若
,求函数
的最小值;
(2)是否存在
,且
,
,
依次成等比数列,使得
、
、
依次成等差数列?请说明理由.
(3)求证:“
”是“对任意
,
,都有
”的充要条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df71f8b32945f3915dd2a0b72593bed.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1757236a5ef1fc70a18f31d6d2438b18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9769116ec47353514e6b7fb7b17216.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/542893790445d6d888d9ff91fd215c9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb1e5fb2d54a62f243bd5936a3f60386.png)
(3)求证:“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a878fd5a7104a7f42770a19097d56457.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42fd7af568e3d9f444beb0ff41426477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a620b284ae80049376c7a7c9afab1f62.png)
您最近一年使用:0次
2 . 已知曲线
上有一点
,则过
点的切线的斜率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ac75c24c046868cb6170f5a6e94a80b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a0a8c013422a11a27bc1c160df1be0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
名校
解题方法
3 . 机场为旅客提供的圆锥形纸杯如图所示,该纸杯母线长为
,开口直径为
.旅客使用纸杯喝水时,当水面与纸杯内壁所形成的椭圆经过母线中点时,椭圆的离心率等于______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689ff84e2d7f52c7446ef789a54557da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b1fe1b971b780e443a9b13621611c5.png)
您最近一年使用:0次
2024-04-16更新
|
2246次组卷
|
6卷引用:上海市华东师范大学第二附属中学2023-2024学年高三下学期四模数学试题
上海市华东师范大学第二附属中学2023-2024学年高三下学期四模数学试题浙江省杭州市2024届高三下学期4月教学质量检测数学试题吉林省长春市实验中学2024届高三下学期对位演练考试数学试卷(一)(已下线)第五套 艺体生新高考全真模拟 (二模重组卷)(已下线)压轴题02圆锥曲线压轴题17题型汇总-1江西省南昌市第十九中学2024届高三下学期第五次模拟考试数学试卷
4 . 若无穷数列
满足:存在正整数
,使得
对一切正整数
成立,则称
是周期为
的周期数列.
(1)若
(其中正整数m为常数,
),判断数列
是否为周期数列,并说明理由;
(2)若
,判断数列
是否为周期数列,并说明理由;
(3)设
是无穷数列,已知
.求证:“存在
,使得
是周期数列”的充要条件是“
是周期数列”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b2b94cbf8f1acc77ed2618d9ba5756a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f195d5a5663e0b1b0870c3f2c39d19dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cff7a7deafe061d63e324c12867f958.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b8edc8e215753c36badd65adaee992.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bc6bb7b937ded40f6f50859d8f77a5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
您最近一年使用:0次
解题方法
5 . 椭圆
的离心率为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb2cd0600d96b749541161cebad1aef4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
您最近一年使用:0次
解题方法
6 . 设函数
的定义域为
,若存在实数
,使得对于任意
,都有
,则称函数
有上界,实数
的最小值为函数
的上确界;记集合
{
在区间
上是严格增函数};
(1)求函数
的上确界;
(2)若
,求
的最大值;
(3)设函数
一定义域为
;若
,且
有上界,求证:
,且存在函数
,它的上确界为0;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64a82f9ed1fed1e3aa42434da4671b42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5830648092860499a7017d2ee157e77b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/617da64f56745521a83fe4b4bf5f20a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acf860993c4cee78cdfed6d29273cf76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c28c7adedb14985ec58d6a016770706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21f0ef09f65ef153b4df26a5b9b7d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
您最近一年使用:0次
解题方法
7 . 已知抛物线
的焦点为
,准线为
,点
在
上,
,则点
的横坐标为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d41bd21b19b7e1ba41d904104a9229.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a623fd98850c3af336f522525ad35d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
.
(1)当
时,求函数的单调区间;
(2)若
恒成立,求
的取值范围;
(3)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aed49f4f2ad72e2dd645112d7c897c2c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4b6e356996536574191a46290a25b3.png)
您最近一年使用:0次
2024-04-13更新
|
1103次组卷
|
4卷引用:上海市实验学校2023-2024学年高三下学期四模数学试题
上海市实验学校2023-2024学年高三下学期四模数学试题 广东省东莞市东莞中学2023-2024学年高二下学期第一次段考数学试题(已下线)模块五 专题1 全真基础模拟1(人教B版高二期中)宁夏石嘴山市第一中学2023-2024学年高二下学期期中考试数学试题
名校
解题方法
9 . 已知双曲线
,
,
分别为其左、右焦点.
,
的坐标和双曲线
的渐近线方程;
(2)如图,
是双曲线
右支在第一象限内一点,圆
是△
的内切圆,设圆与
,
,
分别切于点
,
,
,当圆
的面积为
时,求直线
的斜率;
(3)是否存在过点
的直线
与双曲线
的左右两支分别交于
,
两点,且使得
,若存在,求出直线
的方程;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67d334f7926abd3ec6782534c5dab9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd5a8e1bc9748e5519dcd9981b7eb251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20b3a91ccf6028608cd03df7072f6536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
(3)是否存在过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/d981eca505f4e7cb144e24803f5cb88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2024-04-11更新
|
600次组卷
|
2卷引用:上海市青浦区2024届高三下学期4月学业质量调研数学试卷
解题方法
10 . 如图,已知直线
与函数
的图象相切于两点,则函数
有( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b256345d7109e081b7c895591e995d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9f554a0d953d062594530aa3b6af9f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ead3c38ccdb8a6d8233d4dabcfea1fb.png)
A.2个极大值点,1个极小值点 | B.3个极大值点,2个极小值点 |
C.2个极大值点,无极小值点 | D.3个极大值点,无极小值点 |
您最近一年使用:0次