1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c45d730f7de4d2534217e165831454.png)
(1)求
的极值;
(2)当
,
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c45d730f7de4d2534217e165831454.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eef6a9bc8be0f6d89596d91f8c2b3dd8.png)
您最近一年使用:0次
解题方法
2 . 已知函数
,函数
的单调递减区间为
,且函数
的极小值为0.
(1)求函数
的解析式;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae06c488100e31570805778b1d322e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42905b1f3b6415509e354731a671970a.png)
您最近一年使用:0次
解题方法
3 . 设函数
.
(1)若函数
在定义域内单调递增,求
的取值范围;
(2)若不等式
恒成立,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b81201c3429d401ff1e14d34eb94075.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69f0c35ddcf222558b2a6d1546128825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5354b073a1f30b5be23e4910613652.png)
您最近一年使用:0次
名校
4 . 已知
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01636f1285aa4e1a6b8a77a40337c493.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03eb8e6fa55f350635315da9ae4550de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425ff6141bb4a933f8c0b662a1a52b43.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-12-06更新
|
372次组卷
|
2卷引用:贵州省遵义市南白中学2023届高三上学期12月质量监测数学(理)试题
名校
解题方法
5 . 已知函数
.
(1)求函数
的最小值;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed74d3f0565cf8ac4e2ce48ce77cb3c7.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3bfdb715c6eb7d85aeae75a4afe9d26.png)
您最近一年使用:0次
名校
6 . 已知函数
.
(1)设
的零点为
,求曲线
在点
处的切线方程;
(2)若不等式
对
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d12ceb12cf78408ec59d65b485194359.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9c0002b13f6cae093cd9dc9f19941b.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5a63440aac525112f9f42ada434bba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c66d815378b39ae395dd50173c684bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-11-26更新
|
169次组卷
|
3卷引用:贵州省遵义市2023届高三上学期第三次月考数学(文)试题
7 . 已知函数
.(参考数据:
)
(1)讨论函数
的单调性;
(2)若
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ee5732e87ecfc08316cf6a946c8ed68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2162482d3b2c0690cf107d368058174a.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9afce1a34d33230f1750bbe382dd4e0.png)
您最近一年使用:0次
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8 . 已知函数
,
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd91c48294801ca09895b154fb1207b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04d6e9db53a3a54e3c4259aeb25f772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783bfa5144dbb04f4e89095852a98bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49268ebb8fd9b109c16931c9e97e0aeb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-11-03更新
|
687次组卷
|
3卷引用:贵州省遵义市2023届高三上学期第一次统一考试数学(文)试题
名校
9 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8c207efd83d75c1f69237d97616c726.png)
.
(1)讨论函数
的单调性;
(2)若
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8c207efd83d75c1f69237d97616c726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e5ff2705eb737adef9a6dc70559d79.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8621a85c7d3c351e21e9b32fe90675d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-11-03更新
|
306次组卷
|
2卷引用:贵州省遵义市2023届高三上学期第一次统一考试数学(文)试题
名校
10 . 已知
.
(1)求函数
的单调区间;
(2)若函数
有两个零点
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233aa8bb190d5535f84eade0cfbc6b95.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/786999ff39b91fac93044fb70679be5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8112293429caa01e7670ebcaf5bf95de.png)
您最近一年使用:0次
2022-08-22更新
|
212次组卷
|
2卷引用:贵州省遵义市新高考协作体2023届高三上学期入学质量监测数学(文)试题