1 . 已知函数
.
(1)若
,求曲线
在点
处的切线方程;
(2)讨论
在
上的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f99b46b521d578c5542475285f18185.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7554e25703f84740d666db414aba4be0.png)
您最近一年使用:0次
名校
2 . 已知函数.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50679d3dd15ca7feb4c434f34fed112.png)
(I)令
当
时,求曲线
在点
处的切线方程;
(II)若
,有
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50679d3dd15ca7feb4c434f34fed112.png)
(I)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df768f9a521aecc9e2ed236eb1963fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc630ca5c975409928554c10817a84f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f38b839cd0d0decb9e3bb02c9a187078.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f564ba1a8bd60e5eb8a541c8789d932.png)
(II)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75dcca13fcc65e2e14cb30ee39f43d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe0fe36a6cdf7ebf664cd3786bfd511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
3 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a954639d86801baaeb33802b1d333a4b.png)
(Ⅰ)若
,求曲线
在点
处的切线方程;
(Ⅱ)若
在
上恒成立,求实数
的取值范围;
(Ⅲ)若数列
的前
项和
,
,求证:数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a954639d86801baaeb33802b1d333a4b.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c6b6a11760d0724b0b60e55970e229.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829ac3e8758bcf4510604c0021c6e8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅲ)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c85da54867a6c35bcf558aa103781221.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8bc42bcdbfb400d62a63c10cd699d9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8754a5d7608dd46faa44a51f1861830.png)
您最近一年使用:0次
2018-04-05更新
|
1051次组卷
|
5卷引用:贵州省凯里市第一中学2018届高三下学期《黄金卷》第二套模拟考试数学(理)试题
名校
4 . 已知函数
.
(Ⅰ)求曲线
在点
处的切线方程;
(Ⅱ)若函数
在
上有极值,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e7c39b2fdc35a91c7c0498606ce1c0.png)
(Ⅰ)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(Ⅱ)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/461d7c9510f0cd34115560268e06da80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2018-04-02更新
|
1325次组卷
|
5卷引用:【全国百强校】贵州省凯里市第一中学2018届高三下学期第四套模拟考试数学(文)试题
5 . 函数
在点
处的切线方程为
.
(1)求实数
,
的值;
(2)求
的单调区间;
(3)
,
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9e1b7ed9add44c4438ec6949729bb0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95f6ed76662695d4c711be57a16c3197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc906b12f576e3ffc5e74d3d50c2bbac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ef108a8b6f461bae09ed19f7f6e0268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
解题方法
6 . 函数
在点
处的切线方程为
.
(1)求实数
,
的值;
(2)求
的单调区间;
(3)
,
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de4bef8a4250c65ebc3ee230e57a0a50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95f6ed76662695d4c711be57a16c3197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc906b12f576e3ffc5e74d3d50c2bbac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de189088284dbed66a855af3deac6065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2018-03-08更新
|
577次组卷
|
3卷引用:贵州省黔东南州2018届高三第一次模拟考试数学(理)试题
7 . 已知函数
.
(1)若曲线
在
处的切线与
轴垂直,求
的最大值;
(2)证明:当
时,在
上
是单调函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c75f1458d6c6091e4c1024073a44479c.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d0c99ddd028f0bc3b1d64924ff0f61.png)
(2)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b7a5cacffb201b0fa06a22d8208756c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e1f6cf8990c217af7e109120f35cc3.png)
您最近一年使用:0次
2018-01-12更新
|
371次组卷
|
2卷引用:贵州省黔东南州2021届高三上学期第二次月考数学(文)试题
解题方法
8 . 已知函数
(
).
(1)当
,
时,过原点作
图象的切线,求切线,
轴与函数
图象所围区域的面积;
(2)当
时,设
的最小值为
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ed5390249e840aa939100fda963349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812b1efe6b4a2c6cdabfaf0d903bfecc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812b1efe6b4a2c6cdabfaf0d903bfecc.png)
您最近一年使用:0次
9 . 已知函数
,曲线
在点
处的切线与
轴交点的横坐标为
.
(1)求
;
(2)证明:当
时,曲线
与直线
只有一个交点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85417b79b6eae94c7eefd460272c42bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b094cba781181aeb90752170e9ba6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df2817c52144d06555e98131b5e657c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d8041c797b98b834c70dbf7d1d4346.png)
您最近一年使用:0次
2016-12-03更新
|
9285次组卷
|
10卷引用:2014年全国普通高等学校招生统一考试文科数学(全国Ⅱ卷)
2014年全国普通高等学校招生统一考试文科数学(全国Ⅱ卷)四川省雅安市2016-2017学年高二下学期期末考试数学(理)试题黑龙江省哈尔滨市第六中学2018届高三10月阶段考试数学(文)试题黑龙江省牡丹江市爱民区第三高级中学2018-2019学年高二下学期期末数学(文)试题(已下线)专题09 导数的综合应用-十年(2011-2020)高考真题数学分项天津市红桥区2018-2019学年高三上学期期末文科数学试题贵州省三穗县民族高级中学2021-2022学年高二上学期期末考试数学(文)试题(已下线)专题04 函数导数及其应用-十年(2012-2021)高考数学真题分项汇编(全国通用)(已下线)专题04 导数解答题-2(已下线)专题22 导数解答题(文科)-2