解题方法
1 . 若函数
(a,b为实数,e为自然对数的底数)在
处取得极值-1,且当
时,
恒成立,则整数k的最大值是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e76d671d514a26a882de71dbc0c9d73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a7e4dcebd24c843379926de9c0b780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7ae1e211106f72bb03b40af3788f10.png)
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20-21高二下·浙江·期末
2 . 已知e是自然对数的底数,函数
(
,且
).
(Ⅰ)当
时,求函数
的单调区间;
(Ⅱ)当
时,函数
的极大值为
,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa02a828863d5f10fdffdb2bf7131513.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)当
![](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/ed9648f06cf8e7a87e6dd85d71026c0f.png)
您最近一年使用:0次
20-21高二下·浙江·期末
解题方法
3 . 已知
,设函数
.
(Ⅰ)若
在
上无极值点,求m的值;
(Ⅱ)若存在
,使得
是
在
上的最值,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1648ebeae3532f5e448c46b75f804e8e.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed18bd80c6c4142f68e89f4ad44570b5.png)
(Ⅱ)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbdecf6940dfdcc8ae6ff40bdffd302.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03e483e8a37a8e0e1fb327f99ad93ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6bfefa5b41faae17987876d570685d.png)
您最近一年使用:0次
名校
4 . 已知实数
,若函数
的极小值大于0,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05d9f24684fb349fd991689c8d9457d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
5 . 已知实数
,函数
.
(1)若函数
在
中有极值,求实数
的取值范围;
(2)若函数
有唯一的零点
,求证:
.
(参考数据
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1797f807cb30bcd4cc08e3458672af26.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed01c000d5ebdb220997144355dfdf82.png)
(参考数据
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9405361d7be3c9e4d462a4e955d8fe3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7739fabf233e5b2136faf751a7ebc02.png)
您最近一年使用:0次
2021-03-28更新
|
848次组卷
|
3卷引用:浙江省宁波市镇海中学2020-2021学年高二上学期期末数学试题
解题方法
6 . 已知函数
,
.
(Ⅰ)若函数
存在极小值,求实数
的取值范围;
(Ⅱ)若
,且
对任意
恒成立,求实数
的取值范围.
(参考数据:
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7c4adef3485e8ac6e50d1926365327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9f049a5f960728c60a909821b2404b.png)
(Ⅰ)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9781358e564f32054081a7e0b67fc936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fb15dc40d2b05f167e98271c21d3b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9405361d7be3c9e4d462a4e955d8fe3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7739fabf233e5b2136faf751a7ebc02.png)
您最近一年使用:0次
名校
解题方法
7 . 若函数
在区间
上有极大值,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/317ec35ca6c9089128c5f0798abd64ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/434ccdb0e64ad2a799ce7bcf2d6bd263.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-12-04更新
|
1046次组卷
|
6卷引用:【新东方】高中数学20210527-006【2021】【高二下】
(已下线)【新东方】高中数学20210527-006【2021】【高二下】(已下线)【新东方】412浙江省台州市六校2020-2021学年高三上学期期中联考数学试题浙江省杭州市桐庐中学2020-2021学年高三上学期12月精准测试数学试题(已下线)期中模拟考试题(B卷能力篇)-2020-2021学年高二数学课时同步练(人教B版2019选择性必修第三册)江西省上高二中2020-2021学年高二下学期第五次月考数学(文)试题
名校
8 . 已知函数
.
(1)若
是
的极值点,求
的单调区间;
(2)求
在区间
上的最小值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b4e18c9c3d1190f77c32fa3bac41715.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2067a6792ec6f17f8a34d9d49366701a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579e2c39e6c0a640357e3b0ccd6f954a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a90170d7ef5ff6d1d63517c166f7a9.png)
您最近一年使用:0次
2019-03-24更新
|
1083次组卷
|
8卷引用:【新东方】双师275高二下