解题方法
1 . 已知函数
.
(1)若
在
上单调递增,求a的取值范围;
(2)当
时,设
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/570b6f9a08be03589c8ac5fc4e06d0b4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/459d4fd718865a67559c3b6a179b8ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd8152c197cf4b13a50e64b463401888.png)
您最近一年使用:0次
名校
2 . 已知函数
.
(1)若
是
的一个极值点,判断
的单调性;
(2)若
有两个极值点
,
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/254d3bcbf7948d0818f574e6af514a19.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.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/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6aa33040475ae9271d8c909d32e045d.png)
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2020-03-15更新
|
604次组卷
|
3卷引用:海南华侨中学2020-2021学年高二下学期期末数学试题
名校
解题方法
3 . 设函数
,其中
为实数.
(1)当
时,求
在区间
上的最小值;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78169a2d299c36a4f5840c188a875fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e5bcfb3bafe8373dd907e0e55d08f8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcee353b85b4d18fc9131291e17275d7.png)
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名校
解题方法
4 . 函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31072d632d6bf9434d13ddfdedf84dd4.png)
(1)若曲线
过点
,求曲线
在点
处的切线方程;
(2)求函数
在区间[1,e]上的最大值;
(3)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31072d632d6bf9434d13ddfdedf84dd4.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c3316c2f17c0b3a99cc520b6aaa711.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ccc99093ff159b3f94de7033dadde16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a55ad677b44a78c979c89a7a5fd7d7c3.png)
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