已知函数
在
处取得极值.
(1)求实数
的值;
(2)若关于
的方程
在区间
上恰有两个不同的实数根,求实数
的取值范围;
(3)证明:对任意的正整数
,不等式
都成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/349655426cff1798761e5aec1539c023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a9c64a7a90fbcfa751abbedf92b50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)证明:对任意的正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b65d90928051195bde98fe428258abae.png)
13-14高二下·湖北荆门·期末 查看更多[5]
(已下线)2013-2014学年湖北省荆门市高二下学期期末质量检测理科数学试卷2015届湖南省长沙市雅礼中学高三4月月考理科数学试卷2015-2016学年江苏省如东高中高二下期中数学试卷天津市第一中学2021-2022学年高二下学期期中数学试题湖南省长沙市雅礼中学2022-2023学年高三上学期月考(三)数学试题
更新时间:2016-12-03 05:44:09
|
相似题推荐
解答题-问答题
|
较难
(0.4)
【推荐1】已知函数
(
是自然对数的底数)有两个零点.
(1)求实数
的取值范围:
(2)若
的两个零点分别为
,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/601502eea70c652eb31383f35d8774ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16c3e469b5116b3300f674f7380d593f.png)
您最近一年使用:0次
解答题-证明题
|
较难
(0.4)
名校
解题方法
【推荐2】已知函数
.
(1)若
恒成立,求实数
的取值范围;
(2)求证:
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07bd6a17efed2637d12f1258e669ff65.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee2ed7ba3bb0e3eecec5310d8ac3873.png)
您最近一年使用:0次
【推荐1】已知函数
.
(1)若
在
处的切线与
轴平行,求
的极值;
(2)当
或
时,试讨论方程
实数根的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a8c0379daa3b0170585428e1dd428e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5f421939ee855f25927e7570d82c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e665a9acc0e834afd4422ff9bea43af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a51838204784830c2ae6e05b9dc6ef5.png)
您最近一年使用:0次
解答题-问答题
|
较难
(0.4)
名校
【推荐2】已知函数
.
(1)求
过
的切线的条数;
(2)已知对任意的
,都有不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b1d897bf1170f96cac0c36823a512a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b558c2874cef2e9a41623a7a8172da.png)
(2)已知对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd9b065abfe1606cdfc0293a0ec03f4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解答题-问答题
|
较难
(0.4)
【推荐1】设函数
(
且
).
(1)若
存在极值点,求实数a的取值范围;
(2)设
的极值点为
,问是否存在正整数a,使得
?若存在,求出a;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9b5055dd8aaf379c8a35a2af434764.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acdc6e6a0e6584bea7deb91b0841fa28.png)
您最近一年使用:0次
解答题-证明题
|
较难
(0.4)
解题方法
【推荐2】已知函数
,
,其中
为自然对数的底数.
(1)若
有两个极值点,求
的取值范围;
(2)记
有两个极值点为
、
,试证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732f6cdb4e530b09885eb10920e5bda3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b92a222c35021168dd2a750a27203c1a.png)
您最近一年使用:0次
解答题-问答题
|
较难
(0.4)
名校
【推荐3】已知函数
,
.
(1)当
时,求曲线
与
的公切线的方程;
(2)若
有两个极值点
和
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34adc4e1815352b09897904b586e14c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/798d14bc50856d14997651d47c01efe0.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b7c2420c387be8882df4359ac10b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1ace83c0a47032af4d93dfdea56b10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次