名校
1 . 已知函数
的导函数为
,且对任意的实数
都有
(
是自然对数的底数),
,若不等式
的解集中恰有1个整数,则实数
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a53de2e60c85b2044ed87efc5b76b8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b59f8763e84253fb045d5938c99b6870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0326c62efc8d1dec3b8b9be3acb14c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcebee4d84fec4a07e5a9c2004869f00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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解题方法
2 . 若函数
在区间
上存在单调递增区间,则实数
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59ec00de86c218d7ec58367fada40887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2ec965488c7e1cea085463c7731285.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
3 . 已知函数
.
(1)若曲线
在
处的切线
与直线
垂直,求实数
的值;
(2)当
时,不等式
对任意
恒成立,求实数
的取值范围;
(3)当
时,求证:存在实数
,使
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b79477a3ea39afb0b0a355da63450c6.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9315b85140f138a28c6c9636a48bc441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cfc7f05de73d4c0c2b5bc2e0560e65d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2f391eb1348d7e749caecf0b47ae056.png)
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名校
解题方法
4 . 已知
,设函数
,若存在
,使得
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e34d5fafc69023b9fab8a7bc6f4d4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b012136b0cf401a28b44da099fc87a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
7日内更新
|
343次组卷
|
5卷引用:河南省部分重点高中(金科未来)2023-2024学年高二下学期5月大联考数学试题
名校
解题方法
5 . 已知
,若存在
,使得
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6604efa9b381b2c8488cbf595161fc8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4b767e45047cd9f5d0845c700a5359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ba640401216f7fea2c82c230d847d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6ce02259a85ea191541f4a708738f1.png)
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2024-06-13更新
|
171次组卷
|
2卷引用:江苏省无锡市江阴长泾中学2023-2024学年高二下学期5月阶段检测数学试卷
6 . 已知函数
,
且
.
(1)若函数
在
处取得极值,求曲线
在点
处的切线方程
(2)讨论函数
的单调性和极值情况
(3)在曲线
上至少存在一个整数
,使得它对应的点在x轴的上方,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/472c41493e276c217824b87dec17ab71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1d32d1a5a0732c7e4af737555e44ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d06e33d079ac1649ee5eea8f61de7cf.png)
(2)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)在曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10738d78a1fe89f9786a50fe3bfcba3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c4ebc6ae3d1985c33e60eb530cc0fb.png)
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名校
7 . 若
,使得
成立(其中
为自然对数的底数),则实数
的取值范围是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432328f9ec80fe18790b1e1643f2b13f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6835f7ef9083fe9eb827646a3c669d51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11204e2fb6e560bf7a4ca26eaebfc526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
8 . 已知函数
.
(1)讨论
的最值;
(2)若
,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bce4916bbf635e43a9db05f90921fdc.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/886517188fdd3c35e7f1a1388b667e87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2024-05-14更新
|
1190次组卷
|
5卷引用:山东省青岛第五十八中学2023-2024学年高二下学期6月月考数学试题
名校
解题方法
9 . 已知关于x的不等式
在
上有解.则实数k的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12ea44f4e75a58c1ee72719f5f17c15a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
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2024-05-08更新
|
463次组卷
|
2卷引用:重庆市西南大学附属中学校2023-2024学年高二下学期期中考试数学试题
名校
10 . 已知
,函数
有两个极值点
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cbf8bd2bb0cbf80c2c2aa450045fa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
A.![]() |
B.![]() |
C.若![]() ![]() ![]() ![]() ![]() |
D.若存在![]() ![]() ![]() |
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