1 . 已知函数
.
(1)讨论函数
的单调性;
(2)若对于任意的
,当
时,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8766cabe9bb020ad83d41f9a38c983d9.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd60e69dac32dc020aacf5df042e5f2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dda436b3fd107460123fb7743c3d36b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2122a367c11180a4a685c4f74906ed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2019-04-28更新
|
605次组卷
|
3卷引用:【市级联考】安徽省宣城市2019届高三上学期期末考试理科数学试题
【市级联考】安徽省宣城市2019届高三上学期期末考试理科数学试题(已下线)第五章 一元函数的导数及其应用单元测试(提升卷)-2020-2021学年高二数学新教材单元双测卷(人教A版2019选择性必修第二册)甘肃省临夏、甘南两地2022-2023学年高二上学期12月期中联考理科数学试题
名校
2 . 已知函数
.
(1)求函数
的单调区间.
(2)当
时,证明:对任意
,都有
成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7092408e2f263d2eaee3d78c665cafd0.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8377bb5970eaf9ceb7086463c28ed43d.png)
您最近一年使用:0次
2019-04-18更新
|
264次组卷
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3卷引用:安徽省宣城市八校2018-2019学年高二上学期期末联考数学(理)试题
名校
3 . 已知函数
,
.
(1)若
是
的极值点, 求
并讨论
的单调性;
(2)若
时,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/818d12e1aa8d6c26204b208c7bc6380f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4828766941e62846be183e99ab5aef7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2019-03-11更新
|
2005次组卷
|
8卷引用:安徽省郎溪中学2018-2019学年高二下学期期末模拟数学(文)试题.
名校
4 . 已定义在
上的函数
无极值点,且对任意
都有
,若函数
在
上与
具有相同的单调性,则实数
的取值范围为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc049c8012ee42d36152346fbc8d169.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27ce93b9f0ea8d7e3a5e4a4f2fcacf45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa66623cf54b42d6d12be4c8edaa7071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2018-07-18更新
|
540次组卷
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2卷引用:安徽省宣城市郎溪县郎溪中学2018-2019学年高二下学期期末数学试题
5 . 已知函数
,在区间
内任取两个实数
,
,且
,不等式
恒成立,则实数
的取值范围为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ad74073e637c6c326023e9c062e9a2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d14e88b76e8fbfed5a6b57a9e708fc21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f634030f868e861729d0c8b746d108.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2018-07-12更新
|
305次组卷
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2卷引用:【全国市级联考】安徽省宣城市2017—2018学年高二第二学期期末调研测试数学理科试题
名校
6 . 设函数
,
,
为自然对数的底数.
(Ⅰ)若函数
存在两个零点,求
的取值范围;
(Ⅱ)若对任意
,
,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b05ea2c07b8be7b5dbc5a19710c14e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
(Ⅰ)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅱ)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1053b3c7c6a31d33b4037a8b20d7c776.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2017-06-05更新
|
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2卷引用:【校级联考】安徽省宣城市八校联考2019届高三上学期期末数学试题