1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a136afa15ea25aba12111fd15f6340f.png)
(1)当
时,求曲线
在点
处的切线方程;
(2)求
的单调区间;
(3)若函数
没有零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a136afa15ea25aba12111fd15f6340f.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
.
(1)若
在其定义域内不是单调函数,求实数
的取值范围;
(2)若函数
存在两个极值点
,
,且
,设
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5124251b521fb2525f55b99ee9ff6f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d3c8eed379160ecbe9a170a27683b9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2020高三·全国·专题练习
3 . 已知函数
.
(1)若
在区间
单调递增,求
的最小值;
(2)若
,对
,使
成立,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c352e81a784906428b44a29cf830b2c6.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb49dbba01c4ff5f686ffc8828351b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dff65ebb0e4175f87cf3713cb2187f0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5944dc4871b57d153f5ce5f2ffd8110a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/759e3e390059cf34195bc07b83ba34dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020高三·全国·专题练习
解题方法
4 . 若函数
在
上单调递减,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d746387d5ffc050d576c2e38906cb29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dccf1f9faac56117d6d3dd1dddd286d.png)
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解题方法
5 . 已知函数
,其中
,
.
(1)当
时,
在
上是单调函数,求
的取值范围;
(2)若
的极值点为
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fabec6381d02d57f26b2d4e381234c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87b351f16728b0023fd63678f8103c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8ed0edaebe95e5347b44806e166d0e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a7d8e880fa55474f5b53586fa89a4f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d449f06b442028348749dfb64a23ec79.png)
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6 . (1)求函数
的单调递增区间;
(2)已知函数
在
上单调递增,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ff054d32d74d96dc0f9a086053cdad5.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97785667dc843b8f7a9c1d1bd5555fd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84302f8bcfcb5b31b6a18c4c17a350ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b795e238ea31deefa4fb6ecd592a3cc8.png)
(1)求函数
的单调区间;
(2)当
时,对任意的
,都有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b795e238ea31deefa4fb6ecd592a3cc8.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5acdc1e6082a238a999833967fa3b50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd3d2a764fbdc4d994cca45d78126d67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-09-12更新
|
62次组卷
|
5卷引用:考点16 利用导数研究函数的单调性(考点专练)-备战2021年新高考数学一轮复习考点微专题
(已下线)考点16 利用导数研究函数的单调性(考点专练)-备战2021年新高考数学一轮复习考点微专题2020届百师联盟高三练习题四(全国I卷)数学(文)试题云南省昆明市第二十四中学2023届高三下学期教学质量第二次监测数学(文)试题四川省宜宾市第四中学校2019-2020学年高二下学期第四学月考试数学(理)试题四川省宜宾市第四中学校2019-2020学年高二下学期第四学月考试数学(文)试题
2020高三·全国·专题练习
解题方法
8 . 已知函数
,
.
(1)若
在
单调递增,求
的取值范围;
(2)若
,证明:当
时,
.
(参考公式:函数
的导数:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7c4adef3485e8ac6e50d1926365327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6095f0bc050b76caeb009d11a76d5e5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7863b54185da5a3f1a765e1aa0577e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b029e85e686623cdef977b2cb1f207a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73afe986a3687b383efa1bd291bf6bcd.png)
(参考公式:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bf5f2a23515c2a96c07d13d70baf1ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c334761e1df96e03df19749d2eba1b65.png)
您最近一年使用:0次
2020高三·全国·专题练习
解题方法
9 . 已知函数
的图象与函数
的图象关于点
对称.
(1)求
的解析式;
(2)若
,且
在区间
上为减函数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ffe5a228d39eb85725ad3ef4e681c12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42a2b8b43e1fe82fc439d145e91b860c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c70ee19e659f32d780fc68d4200c081b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589ed49839c4dc0b033431d88a4c1f94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
10 . 已知函数
(
).
(1)若
是定义域上的增函数,求a的取值范围;
(2)若
,若函数
有两个极值点
,
(
),求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ab4bf1a6ef9189e47099da4298edbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc2fe2b7eea5541bd1482e3a3ccc54ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7a2f8dac12dee61b457817fffa5c6a.png)
您最近一年使用:0次
2020-07-25更新
|
6969次组卷
|
7卷引用:极值点偏移专题07极值点偏移问题的函数选取
(已下线)极值点偏移专题07极值点偏移问题的函数选取(已下线)极值点偏移专题05含对数式的极值点偏移问题四川省成都石室中学2020届高三高考适应性考试(二)数学试题(文科)新疆乌鲁木齐市第八中学2023届高三上学期第一次月考数学(理)试题湖南省岳阳市平江县第一中学2020-2021学年高二上学期期末数学试题江苏省南京市金陵中学2020-2021学年高二下学期期初学情调研数学试题湖南省湘西州永顺县高平金海高级中学等七校2021-2022学年高二下学期期中联考数学试题