解题方法
1 . 已知函数
,
.
(1)当
时,求函数
的单调区间;
(2)若不等式
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a3c53e08545a3fb2094d5acb9bf759c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
.
(1)证明
;
(2)关于
的不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e346839e6c4af40f84a2387dafcacd3f.png)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
(2)关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/603feedf045b45e1008cbd9d2b290f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-07-15更新
|
497次组卷
|
3卷引用:江西省南昌市新建区第二中学2024届高三上学期8月份学业水平考核数学试题
3 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5411f7b5a7c48ceb67b6ec25c0bb91f.png)
(1)若曲线
在点
处的切线与直线
垂直,求该切线的方程;
(2)若
时,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5411f7b5a7c48ceb67b6ec25c0bb91f.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a70ed883cf52265adeacd7d74282be69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1d8d5cea065075fe50706abe3ae802.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2021-07-15更新
|
423次组卷
|
3卷引用:广西壮族自治区普通高中2018-2019学年高二6月学业水平考试数学试题
4 . 已知函数
.
(1)求函数
的单调区间;
(2)设
为正常数,若对定义域内的任意实数
都有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb3b6c56aee4bb8a8131fd960415c745.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3bd4449d2c57bd862c65949b9835135.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
5 . 已知函数
,
,
.
(1)设
,求
在
上的最大值;
(2)设
,若
的极大值恒小于0,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a12502bc397f6054143b79919cc1b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d108f2d5dbd8b02baa44f62efc6fc8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/723723b5997b86058b34da63279a0915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4ce23fd1d866c3a711875b7c5a1c13c.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4bd294441fd2bcae7c5c57f764736c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e593828316139a54019e352dec883f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b917f51d9162ed1b00cbbaf65d1def7b.png)
您最近一年使用:0次
2020-05-02更新
|
624次组卷
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5卷引用:山东省2019-2020学年普通高中学业水平等级考试4月(模拟)数学试题
名校
6 . 已知
,函数
.
(Ⅰ)若
在区间
上单调递增,求
的值;
(Ⅱ)若
恒成立,求
的最大值.(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3177258c56059ab4817f58be8aba7b.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b520e13232fd14563f1b0d7c913e81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5355438b11a602df905a0517825b6ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5385a2c9b9ea04864964f831e7d33f99.png)
您最近一年使用:0次
2020-04-16更新
|
421次组卷
|
5卷引用:河南省天一大联考2021届高三下学期阶段性测试(六)数学(理科) 试题
解题方法
7 . 已知函数
.
(1)若
时,求函数
在点
处的切线方程;
(2)若函数
在
时取得极值,当
时,求使得
恒成立的实数
的取值范围;
(3)若函数
在区间
上单调递减,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb4cd55e9cf4e5f66df73daa22d042ee.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea9824af71c9da5db5a00ec06063024.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba53065eb180a682305fddb95d14b62f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/503d20a189624b4f27ae2e7e273ec8c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db64b3a1fb036b1e15ecc1420f008013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
8 . 设函数
.
(1)当
时,求曲线
在点
处的切线方程;
(2)若
时,不等式
恒成立,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a422aed46379410b802da5fc821b36.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
您最近一年使用:0次
9 . 设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5dc4b66d1e9456d6e38bd29394ff975.png)
(1)当
时,求函数
在点
处的切线方程;
(2)对
,都有
恒成立,求m的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5dc4b66d1e9456d6e38bd29394ff975.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d24ae08f436e938531a95fd7a0258f2.png)
您最近一年使用:0次
名校
解题方法
10 . 已知函数
,
,且曲线
与
在
处有相同的切线.
(Ⅰ)求实数
的值;
(Ⅱ)求证:
在
上恒成立;
(Ⅲ)当
时,求方程
在区间
内实根的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b841b2482644dfa25db9428166e0760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45f453517e23d311e8bbddaf2ab069b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(Ⅰ)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447d6f62c09c1d05346fd16a24159f6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
(Ⅲ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3684b3bac3d2cddbecbb1f01cc486ec2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd6b959496e0afcd836ae7bd2067484d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef9d079c5e127bb6c17466011553ad6.png)
您最近一年使用:0次
2018-01-26更新
|
615次组卷
|
5卷引用:天津市静海县第一中学2017-2018学年高二4月学生学业能力调研测试数学(文)试题