名校
解题方法
1 . 已知函数
.
(1)求
的值;
(2)求函数
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47287d6710bac013238918d8aee79f19.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71ff6995b4d2d18c865c51488b9c1bb0.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2023-09-04更新
|
801次组卷
|
4卷引用:北京市清华附中2024届高三开学摸底考数学试题
北京市清华附中2024届高三开学摸底考数学试题(已下线)第10讲 5.5.2 简单的三角恒等变换-【帮课堂】北京市清华大学附属中学2024届高三上学期开学考试数学试题新疆维吾尔自治区巴音郭楞州博湖县奇石中学2024届高三上学期期中数学试题
解题方法
2 . 已知函数
的定义域为R,
,
,则下列说法不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7f53a1fd4bc76020e4cac47636d8b4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed670b1f668778c6243f3f7470ee7d2.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
3 . 已知函数
的定义域为
,且
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a21fface3b063a889de163070a6634ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
A.![]() | B.函数![]() |
C.![]() | D.函数![]() |
您最近一年使用:0次
名校
4 . 已知函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f0e7ce9b9466aaf4c43ade3bd99496f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db218b17876a5944de8fa2949f185e5e.png)
A.![]() | B.3 | C.![]() | D.![]() |
您最近一年使用:0次
2023-08-27更新
|
1017次组卷
|
5卷引用:浙江省杭州市塘栖中学2024届高三上学期模拟数学试题
浙江省杭州市塘栖中学2024届高三上学期模拟数学试题新疆英吉沙县实验中学2024届高三上学期期中考试复习数学试题(五)(已下线)专题4-3 对数函数性质归类(1) - 【巅峰课堂】题型归纳与培优练(已下线)专题02 函数及其应用、指对幂函数(5大易错点分析+解题模板+举一反三+易错题通关)浙江省名校新高考研究联盟(Z20名校联盟)2024届高三上学期第一次联考数学试题
23-24高一上·全国·期末
5 . 函数
的定义域为
,若
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0c6f119137e1b6760d55956d99d963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e4ae31cf7c872f16496cfb1eec47739.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0632bc67a48ee16de53fe7e19ec3328.png)
A.1 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
6 . 函数
和
的定义域均为
,已知
为偶函数,
为奇函数,对于
,均有
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d4755d367c39d8d063ad5c19d244370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22e6fa3b2261d51c56efdd4c2572365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf8ec8044e1fb0602aec9a400a72a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd9a6d2b114476f24afc2fe36eed5316.png)
A.66 | B.70 | C.74 | D.78 |
您最近一年使用:0次
名校
7 . 已知函数
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e2b7e28067d812eecd139fee7ac0eb.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/250a3b258b3470f01ea99926d8085eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c8d601e83386c7ca459d15f0298dc7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e2b7e28067d812eecd139fee7ac0eb.png)
您最近一年使用:0次
2023高一·全国·专题练习
8 . 已知
且
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b735d04e727bc230a4904301a2ae124.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca3c36cc90edebce4b7e2778a2ad165d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fcd1c325db3dc9e85f66e717bc96565.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b735d04e727bc230a4904301a2ae124.png)
您最近一年使用:0次
23-24高三上·全国·期末
解题方法
9 . 已知函数
既是二次函数又是幂函数,函数
是R上的奇函数,函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ce83516618841c37d3d395df6245ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f0c6b1a490b014a58a34ba70ea3180.png)
A.0 | B.1 | C.4036 | D.4037 |
您最近一年使用:0次
名校
解题方法
10 . 已知函数
,
,满足:①对任意
,都有
;②对任意
都有
.
(1)试证明:
为
上的严格增函数;
(2)求
;
(3)令
,
,试证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a73c6b42f12d065a17923045f44d4ca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda9c13fc5efeefc73b70ef2093154a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/958c91e0cc2cf4f17acb778de21846b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c199c596534dd80309fc1caf4c96b2.png)
(1)试证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a227a694dc404d1184578c7d278fd8d7.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79a776eb388794b659f7c2d6498eb09.png)
(3)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5878e2bf9d209e149fcccbbb11c4bcbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f00c795fb9ed112658be9513e668b552.png)
您最近一年使用:0次