2014·内蒙古呼伦贝尔·一模
名校
1 . 已知函数
(1)试讨论
在区间
上的单调性;
(2)当
时,曲线
总存在相异两点
,使得曲线
在
处的切线互相平行,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8d71c7328c8ee4ebd92538fd139c78.png)
(1)试讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8818f31e494b7c01033fbc7533d85b8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a025526cd1389a21ae165ff7b3230b28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b40b5f013f2cd3ac681185ed6ea38ca2.png)
您最近一年使用:0次
2017-04-24更新
|
1078次组卷
|
7卷引用:辽宁省抚顺市第二中学2020-2021学年高三上学期全真模拟考试数学试题
辽宁省抚顺市第二中学2020-2021学年高三上学期全真模拟考试数学试题(已下线)2014届内蒙古呼伦贝尔市高三高考模拟二理科数学试卷(已下线)2014届内蒙古呼市二中高三模拟考试二理科数学试卷2017届山西省大同市灵丘豪洋中学高三下学期第四次模拟考试数学(文)试卷四川省树德中学2018届高三12月月考数学(文)试题2020届四川省成都市树德中学高三三诊模拟考试数学(文)试题四川省仁寿第一中学校南校区2020-2021学年高三第二次月考数学(文)试题
名校
2 . 设函数
,其中
,
是实数.已知曲线
与
轴相切于坐标原点.
(1)求常数
的值;
(2)当
时,关于
的不等式
恒成立,求实数
的取值范围;
(3)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b717f67e9251ffd4421255e0fa92b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6d87b930aeddf5fb26299fdd7b84d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8cd36edcc1439abfb8daa649ee3512e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2d313132f8f2c09c41eb9152196ea1.png)
您最近一年使用:0次
2016-12-04更新
|
851次组卷
|
3卷引用:2016届辽宁省抚顺一中高三四模理科数学试卷
12-13高三上·重庆·阶段练习
3 . 已知函数![](https://img.xkw.com/dksih/QBM/2012/9/7/1571005402513408/1571005408223232/STEM/0529b9042dab447ea724373fcff6d820.png)
(1)若
,试确定函数
的单调区间;
(2)若
且对任意
,
恒成立,试确定实数
的取值范围;
(3)设函数
,求证:
![](https://img.xkw.com/dksih/QBM/2012/9/7/1571005402513408/1571005408223232/STEM/0529b9042dab447ea724373fcff6d820.png)
(1)若
![](https://img.xkw.com/dksih/QBM/2012/9/7/1571005402513408/1571005408223232/STEM/ddb16cb4287240849479ec4058cd150d.png)
![](https://img.xkw.com/dksih/QBM/2012/9/7/1571005402513408/1571005408223232/STEM/c176818ae6f240a9aa6a25352d4dc75a.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2012/9/7/1571005402513408/1571005408223232/STEM/6ef0d3706c2d411db8bb4f11afdae5ca.png)
![](https://img.xkw.com/dksih/QBM/2012/9/7/1571005402513408/1571005408223232/STEM/f4ef9c4f15504d4da67f528b62b489d0.png)
![](https://img.xkw.com/dksih/QBM/2012/9/7/1571005402513408/1571005408223232/STEM/1395967b27174f0b978a93303959146f.png)
![](https://img.xkw.com/dksih/QBM/2012/9/7/1571005402513408/1571005408223232/STEM/6c0aa96a85b249349fb8b5b7ca71f537.png)
(3)设函数
![](https://img.xkw.com/dksih/QBM/2012/9/7/1571005402513408/1571005408223232/STEM/6057d24f56324a709c597e6997670c2d.png)
![](https://img.xkw.com/dksih/QBM/2012/9/7/1571005402513408/1571005408223232/STEM/ba82dbb4d8474b748bb72dc4c3b45ead.png)
您最近一年使用:0次
4 . 已知函数
.
(1)求
的单调区间和极值;
(2)设
,且
,证明:
.
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369209856/STEM/6b5b2e6082264d5c8f969661f7f4aac7.png)
(1)求
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369209856/STEM/74d32c152a4d4a0f9bb36da2febae95d.png)
(2)设
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369209856/STEM/40a1676401d2445dbdb85f9d0ddc402b.png)
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369209856/STEM/94f1f7a6aaee4fa4835e32ad6dcc4b38.png)
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369209856/STEM/f042d0bc650a47f3a46e6fb92700da07.png)
您最近一年使用:0次
2016-12-03更新
|
880次组卷
|
2卷引用:2016届辽宁省抚顺市一中高三12月月考理科数学试卷
14-15高三上·辽宁抚顺·阶段练习
真题
名校
5 . 已知函数
.
(1)求函数
的最大值;
(2)设
,证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d607595c29eb10b45e60a386425d324.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e14206c7d228a7c2259a7b27da8813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50f1e3cf85a4abcbcd8f9bfb7771273f.png)
您最近一年使用:0次
2016-12-03更新
|
2703次组卷
|
8卷引用:2013届辽宁省抚顺一中高三9月月考理科数学试卷
(已下线)2013届辽宁省抚顺一中高三9月月考理科数学试卷【全国百强校】山东省泰安第一中学2019届高三上学期12月份学情检测数学(理科)试题四川省内江市第六中学2020届高三强化训练(一)数学(理)试题四川省内江市第六中学2020届高三强化训练(一)数学(文)试题2004年普通高等学校招生考试数学(理)试题(全国卷Ⅱ)(已下线)第二篇 函数与导数专题2 中值定理 微点1 中值定理(已下线)第二篇 函数与导数专题4 不等式 微点9 泰勒展开式(已下线)专题10 利用微分中值法证明不等式【讲】
10-11高二下·辽宁抚顺·期末
解题方法
6 . 已知函数
(其中
为自然对数的底数)
(1)在
上求函数
的极值;
(2)归纳法证明:当
时,对任意正整数
都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8069d89df7748832508a7efaca211529.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(1)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9414348d57c7fc77dcfa8f0744cb0c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)归纳法证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b57163cbf32026d3c720261c55ec0f.png)
您最近一年使用:0次
解题方法
7 . 已知函数
.
(1)若
的图象在
处的切线
与直线
垂直,求直线
的方程;
(2)已知
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/975ec577e6076ddac758b0b0981f5802.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e8a3365e99f926b1dafa901ab232152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55b022cdf777fbacd903cf2a7df1dd83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/108e8b7af5f963f94f99fd87ed7e4081.png)
您最近一年使用:0次
2023-05-08更新
|
941次组卷
|
5卷引用:辽宁省抚顺市重点高中六校协作体2023届高三二模数学试题
辽宁省抚顺市重点高中六校协作体2023届高三二模数学试题湖南省名校2023届高三下学期5月适应性测试数学试题河南省豫南名校毕业班2023届高三仿真测试三模理科数学试题山东省烟台市芝罘区高中协同联考2023届高三三模数学试题(已下线)第二章 函数的概念与性质 第八节 对数函数(B素养提升卷)