名校
1 . 已知
,设函数
的表达式为
(其中
)
(1)设
,
,当
时,求x的取值范围;
(2)设
,
,集合
,记
,若
在D上为严格增函数且对D上的任意两个变量s,t,均有
成立,求c的取值范围;
(3)当
,
,
时,记
,其中n为正整数.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73254f32b6da29ecc32df2e9f87a4c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d68155558673dee3c3b339a73d752097.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83e1d58efba7354ff2ccb96922732094.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0248255c35db564b386e4a997f822a95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3e852eebd74ce9620a6baaef6d35fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d9a4cae3158b96893800ddc6ebbc76e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/610a635570c8e84423dbf0f6a566c138.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a915c1a8a9304aeb307d130faaeb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22f37cf574ebef90d4e1204db94bcbaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7203bef757822b5d482430f8bf80dea7.png)
您最近一年使用:0次
2023-04-13更新
|
1497次组卷
|
5卷引用:天津市南开中学2022-2023学年高二下学期期末数学试题
天津市南开中学2022-2023学年高二下学期期末数学试题(已下线)重难点04导数的应用六种解法(1)(已下线)专题04 函数导数综合应用(四大题型)-【好题汇编】备战2023-2024学年高二数学下学期期末真题分类汇编(天津专用)上海市普陀区2023届高三二模数学试题天津市耀华中学2023届高三二模数学试题
名校
解题方法
2 . 已知椭圆
的离心率为
,且椭圆过点
.
(1)求椭圆
的标准方程;
(2)过右焦点
的直线
与椭圆
交于
两点,线段
的垂直平分线交直线
于点
,交直线
于点
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f01cdd4ed5c7db717c483f779d90576b.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过右焦点
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff8d039dd1991c12d2de58d1dc2937a.png)
您最近一年使用:0次
2022-05-24更新
|
3712次组卷
|
5卷引用:天津市第二十五中学2022-2023学年高二上学期期中数学试题
天津市第二十五中学2022-2023学年高二上学期期中数学试题天津市和平区2022届高三下学期三模数学试题(已下线)专题6 圆锥曲线硬解定理 微点2 圆锥曲线硬解定理综合训练(已下线)重难点12五种椭圆解题方法-1北京市中国人民大学附属中学2023届高三上学期数学统练四试题
解题方法
3 . 已知函数h(x)=x2ex,f(x)=h(x)﹣aex(a∈R).
(Ⅰ)求函数h(x)的单调区间;
(Ⅱ)若∃x1,x2∈(1,2),且x1≠x2,使得f(x1)=f(x2)成立,求a的取值范围;
(Ⅲ)若函数f(x)有两个不同的极值点x1,x2,求证:f(x1)f(x2)<4e﹣2.
(Ⅰ)求函数h(x)的单调区间;
(Ⅱ)若∃x1,x2∈(1,2),且x1≠x2,使得f(x1)=f(x2)成立,求a的取值范围;
(Ⅲ)若函数f(x)有两个不同的极值点x1,x2,求证:f(x1)f(x2)<4e﹣2.
您最近一年使用:0次