证明:对任意
,总有
成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/832f82ceb27bd5557bab2308b2472af5.png)
2024高三·全国·专题练习 查看更多[1]
(已下线)专题03 利用导数证明不等式(四大题型)
更新时间:2024-05-23 09:30:25
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【知识点】 利用导数研究不等式恒成立问题
相似题推荐
解答题-问答题
|
适中
(0.65)
名校
【推荐1】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01fa4774ed48e6f63fd309c82118e667.png)
(1)若直线
为
的切线,求
的值.
(2)若
,
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01fa4774ed48e6f63fd309c82118e667.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30be9baff9da707f2b7cd008a6e686f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7364911f4597bfe996da15bf929c7fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4971dff55d6dbc05715c29076f1764b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.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)讨论函数
的单调性;
(2)证明:当
时,
,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d0ff7ac083b888d0055e49bf130a6e6.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d848ba70bdc133d65976c46e383ddcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e771db502a0665139f7b326a90edc229.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐3】已知函数
.
(1)若
,求函数
的单调区间;
(2)若
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d1c1268f5b05d4b12e6b04f9630dc09.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次