名校
解题方法
1 . 已知函数
.
(1)若
在
上存在单调减区间,求实数
的取值范围;
(2)若
在区间
上有极小值,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b503a06bf56582b24965759d225356ad.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9139a91a3b91a9f13e4f2e2296ee0bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5e16e41431920b77ab663cd82525193.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-08-17更新
|
710次组卷
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3卷引用:江苏省扬州中学2023-2024学年高三上学期开学检测数学试题
江苏省扬州中学2023-2024学年高三上学期开学检测数学试题四川省绵阳市南山中学实验学校2022-2023学年高三上学期9月月考补习班理科数学试题(已下线)考点17 导数的应用--函数极值问题 2024届高考数学考点总动员【练】
12-13高三·江苏扬州·开学考试
名校
2 . 已知
是实数,函数
,
和
,分别是
的导函数,若
在区间
上恒成立,则称
和
在区间
上单调性一致.
(Ⅰ)设
,若函数
和
在区间
上单调性一致,求实数
的取值范围;
(Ⅱ)设
且
,若函数
和
在以
为端点的开区间上单调性一致,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://img.xkw.com/dksih/QBM/2013/9/10/1571350171623424/1571350177316864/STEM/730c4b9250474099bd10150d50d0fe1c.png?resizew=192)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51350a90203fcdc2d500a89061b7f52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0ed188d083966baaae94e6b86064f9.png)
![](https://img.xkw.com/dksih/QBM/2013/9/10/1571350171623424/1571350177316864/STEM/8a6828b27fe14b68832e6f72a97ddde2.png?resizew=96)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
(Ⅰ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://img.xkw.com/dksih/QBM/2013/9/10/1571350171623424/1571350177316864/STEM/2b1a6693b07b4fd881c668d2c5d5e81a.png?resizew=57)
![](https://img.xkw.com/dksih/QBM/2013/9/10/1571350171623424/1571350177316864/STEM/2c77e82d58b5460fb3b9aff60236a5cc.png?resizew=13)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2958030ec9d7543dda1f529593a915e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://img.xkw.com/dksih/QBM/2013/9/10/1571350171623424/1571350177316864/STEM/c976db6864934c19965eef3c6d76da6d.png?resizew=40)
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