已知函数
.
(1)试讨论
的单调性;
(2)若对任意
,当
时,均有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46ff7c5ea2a8975d4d9c9d515a1fe8a0.png)
(1)试讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb349111192d84bce5f84a257b0e90e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ecdf832fa8919211ea5255329abf1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f299f63828eb56cbcd2b13207553692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
更新时间:2023-07-04 21:59:26
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解答题-问答题
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适中
(0.65)
解题方法
【推荐1】已知函数
.
(1)当
时,讨论函数
的单调性;
(2)当
时,
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ff7a99193b8dd402b84252a7fabdb2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.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
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适中
(0.65)
名校
【推荐2】已知函数
,其中
是自然对数的底数.
(1)当
时,求函数
的极值;
(2)若
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18004124a68053a3648f5cf187e68864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd18b91c1704fc0705ba3d8e10cb4f11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5e026a565c24617edc36f82fd85e63.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
|
适中
(0.65)
名校
【推荐1】已知函数
为自然对数的底数.
(1)讨论
的单调性;
(2)当
时,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404b5e269aa6aa956ba805c4c63c6340.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.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
|
适中
(0.65)
【推荐2】已知
,直线
经过坐标原点,且与曲线
相切.
(1)求直线
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(2)讨论函数
的单调区间个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7c4adef3485e8ac6e50d1926365327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3da7085bf5dd8595126766e64182fa26.png)
您最近一年使用:0次
解答题-问答题
|
适中
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名校
【推荐3】已知函数
.
(1)讨论
的单调性;
(2)若
对任意
恒成立,求实数
的取值范围(
为自然常数);
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a83e57d8240c325bb692f293f5cf4f2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f2b5ee1eabb64358a3d9db2349b6fce.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c07636ed9526df39978dfa75d4a35d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6957c74475ce7b08482971e37c242a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
您最近一年使用:0次