名校
解题方法
1 . 如果函数
在区间[a,b]上为增函数,则记为
,函数
在区间[a,b]上为减函数,则记为
.如果
,则实数m的最小值为________ ;如果函数
,且
,
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b36f7283eba1e1599ef7ebe8028f5ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74d6aa3319cc5772e60a7a584eb35253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78dc718a20513bf3b3ba408c80db1f3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28de5a7346d96247de5e809f0d00b38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a99da41115af57a2d17ee3a154e02d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bd1b6a2269496d136784fb927d7689a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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2024-06-09更新
|
767次组卷
|
3卷引用:期末押题卷02(考试范围:高考全部范围)-【帮课堂】2023-2024学年高二数学同步学与练(苏教版2019选择性必修第二册)
(已下线)期末押题卷02(考试范围:高考全部范围)-【帮课堂】2023-2024学年高二数学同步学与练(苏教版2019选择性必修第二册)江苏省苏锡常镇四市2024届高三教学情况调研(二)数学试题浙江省杭州师范大学附属中学2024届高三下学期高考适应性考试数学试卷
名校
2 . 记
,
为
的导函数.若对
,
,则称函数
为
上的“凸函数”.已知函数
,
.
(1)若函数
为
上的凸函数,求
的取值范围;
(2)若函数
在
上有极值,求整数
的最小值.
(参考数据
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a338ea5af074f72fe936a8ba21b87966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc1da2db85b44ae9ced8c09cd19593e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7606e6ea1676d8dc8aa83afca9209242.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dca85f8f97d965e3fd3ebbd9f5c5dca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e37c35e33ffa1a55a0693ae2319da91.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da3a6d011679952771607b3a166676b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(参考数据
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad45bc83cc8ade14761c6665959a68f.png)
您最近一年使用:0次
名校
3 . 已知
,
.
(1)求曲线
在点
处的切线;
(2)若函数
在区间
上存在极值,求
的取值范围;
(3)若
,设
,试判断函数
在区间
上的单调性,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dea6d08eed01ec1677ef68c41124812.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c6b6a11760d0724b0b60e55970e229.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3387f1c69de6c2407212536b35150e5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22fb19d4cc5fdc49a13002bbe856a902.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
在
处取得极大值,且极大值为3.
(1)求
的值:
(2)求
在区间
上不单调,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c6b63d69bd3777d90adfc315a6a21e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/785449314b0bde3ea8bf79f9bd698390.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f88a7953ef47ac7de6249df03027f77d.png)
(1)若
,
在点
处的切线方程为
,求
的值;
(2)若
的极值点为
和
,且极大值为
,求
的极小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f88a7953ef47ac7de6249df03027f77d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
名校
解题方法
6 . 已知函数
,当
时,
取得极值
.
(1)求
的解析式;
(2)若
在区间
上有解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406ddf7a661b2532f349f1b40bbe2b33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce90064385c4633056784c1ae375a2d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a92ba8b43bebdf7d6c40917f4d3e110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
在
处取得极大值.
(1)求a的取值集合;
(2)当
时,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e1b7c9639ccc0708bb53ca1cfe9958.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(1)求a的取值集合;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636289ad84b4a3a51095dd32ca201f94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1dd527d52b5d03a2ef9e944d8034312.png)
您最近一年使用:0次
名校
解题方法
8 . 若函数
,既有极大值又有极小值,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82c3e11b216c377c5dd45503515419bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-05-04更新
|
525次组卷
|
3卷引用:江苏省苏州西交大附中2023-2024学年高二下学期5月月考数学试题
江苏省苏州西交大附中2023-2024学年高二下学期5月月考数学试题安徽省合肥市普通高中六校联盟2023-2024学年高二下学期期中联考数学试卷(已下线)专题08 导数的运算、几何意义及极值最值常考题型归类--高二期末考点大串讲(人教B版2019选择性必修第三册)
9 . 已知
在
处取得极小值
.
(1)求
的解析式;
(2)求
在
处的切线方程;
(3)求
的极值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9c2470c624d45fbcc20d18329448c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354c3a283b2b21cc8ac33995aac20a5c.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/e55aa0a20848c37c1892c567b2315e04.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2024-05-01更新
|
870次组卷
|
6卷引用:江苏省无锡市运河实验学校2023-2024学年高二下学期期中考试数学试卷
江苏省无锡市运河实验学校2023-2024学年高二下学期期中考试数学试卷(已下线)模块三 专题2 解答题分类练 专题1 导数在研究函数性质中的应用(苏教版)(已下线)模块四 期中重组卷3(江苏苏锡常镇)(苏教版)(高二)江苏高二专题03导数及其应用(已下线)模块一 专题5 导数在研究函数性质中的应用(2)【高二下人教B版】(已下线)模块三 专题2 解答题分类练 专题4 导数在研究函数性质的应用【高二人教B】
解题方法
10 . 已知函数
的最大值为1.
(1)求实数
的值;
(2)若函数
有极值,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d6eb690fd5889e4e28f99af029dd1e1.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa969946795c238ef0330b6501b77531.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次