已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae9d98ade396f860e2997d7fb4b17a8.png)
(1)当
时,求
的极值;
(2)若对
,
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae9d98ade396f860e2997d7fb4b17a8.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969a22a2ac1653446c90a15c1cae6541.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00983cd16d3d6bfb62f922a20e4ae6e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
2023·陕西咸阳·模拟预测 查看更多[3]
陕西省咸阳中学2022-2023学年高三下学期第六次质量检测文科数学试题陕西省铜川市2023届高三二模文科数学试题(已下线)必考考点3 导数的应用(恒成立,不等式,零点) 专题讲解 (期末考试必考的10大核心考点)
更新时间:2023-03-09 16:51:44
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解答题-证明题
|
较难
(0.4)
解题方法
【推荐1】已知函数
.
(1)求
的极值;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c6e33be3a6b4959999372a6b813c32a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18d18b5eeb71d24b7bb1cd7153edcad.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)当
时,讨论
的单调性;
(2)若
存在极小值,求
的极小值的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e3d2a44ccbad95e615e4cbe4b1740c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
解答题
|
较难
(0.4)
名校
【推荐1】设
.
(1)求函数
的单调区间;
(2)当
时,均有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4e65671cada5bd0f3f97ca31afbca7.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cc4136bd17997e11a7f8abcb19f9018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b733d17dc0fb4a6720c302960f9037.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2】已知函数
(
且
).
(Ⅰ)当
时,求函数
的单调区间.
(Ⅱ)当
时,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4299299639227c1dece2956daa9df5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b97b295f88972ba1c7e3cefda0885d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c80c26a794a844127aae7dee87c93b.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(Ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfac188958843fe181426923584d0cb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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