已知函数
.
(1)当
时,求曲线
在
处切线的方程;
(2)讨论函数
在区间
上的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0409932481112388153820b5525f4497.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(2)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7754cc9374c8193dadb6875fb8a3fefb.png)
更新时间:2023-04-23 14:56:24
|
相似题推荐
解答题-问答题
|
适中
(0.65)
【推荐1】已知函数
.
(1)求曲线
在点
处的切线方程;
(2)设
为
的导函数,讨论
在区间
上的单调性;
(3)证明:对任意的
,有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a68cf927d8df18c6b63838a51dfde3d8.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.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/6d6f600b51029dd9e5a630de7d8479a3.png)
(3)证明:对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bec101d2f0896ba7131f6d470dd1bed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d6819945aa00328aa3073e581cdfd39.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐2】已知函数
,
,曲线
在点
处的切线方程为
.
(1)求
与
的值;
(2)求
的最大值及单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6074f346f7f557ad0e038cc664bf567a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eeae4e4940d654f083f1073ba872504.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87490be8d0cdb7bc6c39d1a37f3bc335.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
【推荐3】已知函数
.
(1)求
在
处的切线方程;
(2)令
,求函数
在区间
上的最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d8c78650f20e853fc437f1c37c93c13.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a42c16d2706d000e8c3efd158466a28b.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e111595ac59e1fb558b6a465a02829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b448fe164c2c2931805e3b3847dcdd75.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
【推荐1】已知函数
.
(1)讨论
的单调性;
(2)若
,当
时,函数
有且只有一个零点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74692e58ad5a818b88cf1f060dbf82fc.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d0966c36e2cd19869194d64ba4db50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
【推荐2】已知函数
.
(1)若
是奇函数,且有三个零点,求
的取值范围;
(2)若
在
处有极大值
,求当
时
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d727c4c511f51b68cbfdf6238394c0f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)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/f5a198944c430230661eea767c6bd7de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6070f2ee5e48cce77eb4a2cb9f11ccfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐1】设函数
,
.
(1)当
时,证明:方程
在
上有唯一实根;
(2)是否存在实数a,满足:对于任意
,都有
?若存在,求出所有满足条件的a;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ddec28429b245c8ef17d93c6c9510f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9fc1d3731b6cde045ddfce45737248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
(2)是否存在实数a,满足:对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4169c5f606352788872a03fe5476fea2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1a8c69aaecfbe4d8bd7cf01a3b79c50.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐2】已知函数
.
(1)求函数
的对称中心;
(2)先将函数
的图像向右平移
个单位长度,再将所得图像上所有点的横坐标缩短为原来的
(纵坐标不变),得到函数
的图像,设函数
,试讨论函数
在区间
内的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8f89d8c4c2372cd672a394644fa8225.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)先将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a588de02d8a8e43ac3cca2a19e41b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c94d169f493abf4b65fe0fed197769d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02cc2f6201038aed2968bded70b5049e.png)
您最近一年使用:0次