已知函数
.
(1)若在曲线
上的一点
的切线方程为
轴,求此时
的值;
(2)当
时,若
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abb2041c5508ef76a8a1e9f0225ed3c6.png)
(1)若在曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d37dafb12565279285111a5948d835b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219ba6c8a1b54598db1a78cab28d9d30.png)
更新时间:2020-10-01 16:18:07
|
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解答题
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较难
(0.4)
解题方法
【推荐1】已知函数
,
,其中
为自然对数的底数.
(1)若曲线
在点
处的切线与直线
:
垂直,求实数
的值.
(2)设函数
,若
在区间
(
)内存在唯一的极值点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9753aef4079edee142a4c42ea9f2f656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be79ec90c46f7ee1872c2a303e4355cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff5a8f648d375cc6ccf6649cab698c6.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f8368f7daaae96338581b7ad1e5d13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b761f83c6b90fc4ad37e59cb58a7dbec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a159de0b2d9eb1ae0b7e664e64d3c6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a30dd8cfdf5f0830dd204eaea9c13c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887473a8091e1ef53a169cc9f211e3a.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b2cebb677ec3db6a5a1c599bd1590cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd2a571cf535bd0c49f9f136a7a618bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b3762d604fabcfe7eefb98b6037e080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ebf5ef4508f7e19c2337f7963bd8037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab4717e4827480f0f6f4ded85e52eab.png)
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解答题-问答题
|
较难
(0.4)
【推荐2】设函数
,其中
,曲线
在点
处的切线方程为
.
(1)确定
,
的值;
(2)若过点
可作曲线
的三条不同切线,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2398eb5622cb35678faf9d90b31d8d92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b74110bc818c2f5a53d63451c5251eb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f4eff3125c5e63a994ba1ad5be58e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f047f1c06d194c4537bd3d71c256e350.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca55362a9e187872cd20fa166f493b.png)
(1)确定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2fdeba282b028321696be7f90f2cbfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3aa688caadfeb5bdf9c7dfecb5afa31.png)
(2)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f5f2ebdee8914176e93fa566b89144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f4eff3125c5e63a994ba1ad5be58e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887473a8091e1ef53a169cc9f211e3a.png)
您最近一年使用:0次
解答题-问答题
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较难
(0.4)
解题方法
【推荐1】已知函数
在
处的切线方程是
.
(1)求a,b的值;
(2)若对任意
,都有
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27fee52697d6a263ea088d19f4024403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d3d7ddc01fa3198a9c015b3c953194.png)
(1)求a,b的值;
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a3d471d720d3e90c32f9b2711847fa4.png)
您最近一年使用:0次
解答题-问答题
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较难
(0.4)
【推荐2】已知函数
.
(1)讨论
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(2)若对任意的不等正数
,且
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,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29f444db402303c7a0b67abfa0a8332.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对任意的不等正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec72ca557aa4229ee871628ffcf0d8a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41f01694dd0927911bd6cc9dbb1656b2.png)
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