1 . 已知函数
,其中
.
(Ⅰ)讨论函数
的单调性;
(Ⅱ)证明:
(
,
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a923520f831feedf63cfe824cc3901d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae018fde08edf0539089f98c17e11ff7.png)
(Ⅰ)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
(Ⅱ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041e22ecb15b4f11b5baefea2c965653.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ccfb28bf682707023eeb29c4fe8145b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331afa397bde89f939a20441211b9d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8c29b297e3ec337c3139c2a1ebed1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67b0d8ecf4955dfcb76ca3e896568b7d.png)
您最近一年使用:0次
名校
2 . 已知函数
.
(1)求函数
的图象在点
处的切线方程;
(2)当
时,求证:
;
(3)若
对任意的
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/649596be363632149d08396a9a80e8cd.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c6b6a11760d0724b0b60e55970e229.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0537af587b482ab6eea06ee944ae56f3.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/085f3f7051d969af530a058862f678a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966b60302d80d8613675bb3dd5c03164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2017-03-27更新
|
1211次组卷
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3卷引用:2017年内蒙古呼和浩特市高三年级质量普查调研考试(一模)文数试卷
名校
3 . 已知函数
.
(1)讨论函数
的单调性;
(2)若存在
,使得
,试求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94d923df82b977d6293b49c53fbeda43.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98482ea7b98e0f06e72664e78389e4db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e856dd7407c2fad6594228317e3d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2017-03-22更新
|
1166次组卷
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3卷引用:2017届内蒙古包头市高三下学期第一次模拟考试数学(理)试卷
2017届内蒙古包头市高三下学期第一次模拟考试数学(理)试卷江西省萍乡市莲花中学2019-2020学年高二下学期月考数学(理科)试题(已下线)第七章 导数与不等式能成立(有解)问题 专题四 双变量能成立(有解)问题的解法 微点1 双变量单函数能成立(有解)问题的解法
名校
解题方法
4 . 已知函数
(
是自然对数的底数,
).
(1)求函数
的单调递增区间;
(2)若
为整数,
,且当
时,
恒成立,其中
为
的导函数,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7054dbcd9ad1998688f13392344cc43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d347d5b8729ddc0417eb8eb0a13c7218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2016-12-03更新
|
497次组卷
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3卷引用:内蒙古赤峰市2016-2017学年高二下学期期末考试数学(理)试题
2014·河北邯郸·二模
名校
5 . 已知函数
,曲线
经过点
,且在点
处的切线为
.
(1)求
的值;
(2)若存在实数
,使得
时,
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcc27c83b36c3bef7dbd1ef9466b22cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22840186db0afc0e2b2e8915ce79b998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6134a70ad5fd38fb2d52c6bdb2b34e91.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)若存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a11b8a2fc710d26c89953d4d3a4eee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91de80e5bd853f0ec4da6c616fdc1918.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2016-12-03更新
|
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5卷引用:内蒙古杭锦后旗奋斗中学2018届高三上学期第二次月考数学(文)试题