名校
1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28aea7acbd3481ff0fc716e276660e7.png)
(1)当
时,求证:
;
(2)讨论关于
的方程
的实根的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28aea7acbd3481ff0fc716e276660e7.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa6d048077c80041f8b518e15626881b.png)
(2)讨论关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1ea880d4c8d5d57dc3526cf0145573c.png)
您最近一年使用:0次
名校
2 . 已知函数
,
.(参考数据:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/282fa498b421b99856ec3d694000c012.png)
(1)求
在点
的切线方程;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b1d897bf1170f96cac0c36823a512a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6c622215561fc287bc630b9f2d055e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/282fa498b421b99856ec3d694000c012.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0396ab0c1d9ed80ce093f5146381b7d0.png)
您最近一年使用:0次
名校
3 . 已知函数
,
.
(1)记
,试讨论函数
的单调性;
(2)若曲线
与曲线
在
处的切线都过点(0,1).求证:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68de171ea6b9ec49f75785542c2df30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77d7846c831412e004432dd6dd8f1e55.png)
(1)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad8ee903966c505c68ca99af16153df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3f8cbb31f3d0b1b48d5edf0f2ca5898.png)
您最近一年使用:0次
2021-08-17更新
|
826次组卷
|
4卷引用:陕西省渭南市富平县2021届高三下学期二模理科数学试题
陕西省渭南市富平县2021届高三下学期二模理科数学试题陕西省榆林市神木中学2021届高三下学期适应性考试理科数学试题(已下线)专题21 导数及其应用(解答题)-备战2022年高考数学(理)母题题源解密(全国甲卷)(已下线)专题20 导数及其应用(解答题)-备战2022年高考数学(文)母题题源解密(全国甲卷)
解题方法
4 . 已知函数
.
(1)若
恒成立,求a的取值范围;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb3b6c56aee4bb8a8131fd960415c745.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328f37801b0529af7453de40313e25cb.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43f55e264d57e71f54ba1a5873185ac8.png)
您最近一年使用:0次
名校
5 . 已知函数
.
(1)当
时,求
的单调递增区间;
(2)若
与
的图象上恰有两对关于
轴对称的点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e18f3a45c3c47c8dc67c32f21e1c41.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dafd8515bc125bf37368a4c26d5b0b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2021-07-15更新
|
366次组卷
|
2卷引用:陕西省汉中市2020-2021学年高二下学期期末文科数学试题
名校
解题方法
6 . 已知
,函数
.
(1)若
,求函数
的极值点;
(2)若不等式
恒成立,求
的取值范围.(
为自然对数的底数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5244d5220d7ce3b39028dfeca373d23.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e186b8680582ad98dced36d62dfa19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d300a3a6d3270bccac16b34fd7a3cb5b.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45fc2f3f39e2c7ad2e2f29cb7a288edd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
您最近一年使用:0次
20-21高三下·全国·阶段练习
7 . 已知函数
有两个零点
,且
.
(1)求
的取值范围;
(2)当
时,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/876860d1870d2bf5d04f0dd5652cfa18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/093b2eeb76ffc60af437b49e9f69d283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec74da57fe30303c9be07f5b5950b310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
8 . 已知
.
(1)求
的单调区间;
(2)当
时,若关于x的方程
存在两个正实数根
,证明:
且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e761572a4051f3a3bc145c973f31b3e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1abf0cdd5f11934878e479ef1abfea64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afcd7422e4ebc4500a81c39174346ee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e7b93a0ee368e333465fdf4ee249e41.png)
您最近一年使用:0次
2021-05-22更新
|
1727次组卷
|
6卷引用:陕西省宝鸡市千阳中学2021届高三下学期第五次适应训练理科数学试题
陕西省宝鸡市千阳中学2021届高三下学期第五次适应训练理科数学试题陕西省宝鸡市千阳中学2021届高三下学期第六次适应性训练理科数学试题(已下线)专题突破卷08 极值点偏移(已下线)重难点突破05 极值点偏移问题与拐点偏移问题(七大题型)-2(已下线)专题8 导数与拐点偏移【练】(已下线)专题8 导数与拐点偏移【讲】
9 . 已知函数
在
处取得极值
.
(1)求函数
的单调区间;
(2)若不等式
在
上恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/466e7812451b8255029386eaa649af50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dca9d6fac4146bb6d7528dc3b05edea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2021-03-22更新
|
275次组卷
|
3卷引用:陕西省宝鸡市千阳中学2021届高三下学期第九次模拟考试理科数学试题
名校
10 . 已知函数
.
(1)讨论
的单调性;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5d4043184922cbf3836790b72010c0e.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95f11900eb913a1966f3aec509c22582.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2021-03-11更新
|
1528次组卷
|
8卷引用:陕西省榆林市2021届高三下学期二模文科数学试题
陕西省榆林市2021届高三下学期二模文科数学试题江西省上饶市横峰中学2020-2021学年高二下学期第一次月考数学(理)试题(已下线)专题1.12 导数-极值、最值问题-2021年高考数学解答题挑战满分专项训练(新高考地区专用)(已下线)精做06 函数与导数-备战2021年高考数学大题精做(新高考专用)青海省西宁市大通回族土族自治县2021届高三一模拟考试数学(理)试题青海省西宁市大通回族土族自治县2021届高三一模模拟考试数学(文)试题贵州省黔东南州2021届高三高考模拟考试数学(文)试题吉林省长春汽车经济技术开发区第三中学2020-2021学年高二下学期期末数学试题