名校
1 . 已知函数
,若
,且
的最大值为3,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd59be9340a988e1216a0c4c5a897e66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859458471c86ae39e0cc42d2d960d03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.-1 | B.1 | C.0 | D.2 |
您最近一年使用:0次
2021-11-02更新
|
311次组卷
|
2卷引用:湖南省郴州市2022届高三上学期第一次月考数学试题
2 . 已知函数
.
(1)当
时,求
的单调区间;
(2)若
有三个极值点
、
、
.
(i)求实数
的取值范围;
(ii)证明:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/087c1bd6ea45e52902819ef8fb225079.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/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79fc0ce080b8ad8b63ba63259c680b6.png)
(i)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(ii)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dafaeedddee618f5e86a5f2efd15b2cd.png)
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解题方法
3 . 函数
的单调递减区间是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e558c191418011eb1aeed856bd355d8.png)
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名校
4 . 已知函数
,
(1)求
的单调区间;
(2)求
在
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5efc44f035595cb2c12b7d99f32ba29.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fab11f38ab8593932082ec4d9c8c91f.png)
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2020-09-10更新
|
292次组卷
|
6卷引用:湖南省常德市石门县第六中学2020-2021学年高二上学期期末数学试题
名校
5 . 已知函数
,
.
(1)求函数
在点
处的切线方程;
(2)若存在
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c7ed99a74e126a05cb520f19c094020.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bbdeff733f70cab58f4fcb7a532430.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a229eb3d22ab8ae35834f32c3d2d194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df2dc7e2a1eba1685feea24f16075bd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
6 . 若
,则
的单调递增区间为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed3cb355c3884911cc1db21eed82a8dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2018-07-06更新
|
351次组卷
|
3卷引用:湖南省常德市2020-2021学年高二上学期期末文科数学试题