名校
1 . 定义域为
的函数
满足
,
,若
时,
恒成立,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/322eb46d949b9580bcc057d146b7fc58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9dceef7e01934235245bc9a5df3861.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a07ea4aaaf82f4f2a54df7673504df6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b43758e8f118028e1bb65f35f222ae68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-12-14更新
|
182次组卷
|
2卷引用:福建省龙岩市连城县第一中学2023-2024学年高一上学期月考2数学试题
解题方法
2 . 已知函数
是定义在R上的奇函数.
(1)求
的值;
(2)已知函数
在
上单调递增;
①判断
在
上的单调性(直接写结果,无需证明);
②对任意
,不等式
恒成立时,求
的取值范围;
(3)设函数
,求
在
上的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d530806804d720e84a03d54cc6f3a2f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9414348d57c7fc77dcfa8f0744cb0c9.png)
①判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
②对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45f4407e5c044d1bbce3b056f88d6fb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feb86a4c724b65cc210d341607f69479.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03db4ea1dcb63b22cf4e917df5db581e.png)
您最近一年使用:0次
3 . 已知
,命题p:
,
;命题q:
,
.
(1)若命题p为假命题,求a的取值范围;
(2)若p和q均为真命题,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ccd7af9298cd5ff19d8866fedb42ec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d07e8b19aca9962bdc548327bee7118.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f5e14f6464b4aeadb50f60b75d332b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a26721828644fed343e27452327cca9.png)
(1)若命题p为假命题,求a的取值范围;
(2)若p和q均为真命题,求a的取值范围.
您最近一年使用:0次
名校
解题方法
4 . 若正数
,
满足
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71a120e118263f6b9fde8054e1a57479.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f2a2620ea1ad9c57462fabb9890b830.png)
A.27 | B.81 | C.6 | D.9 |
您最近一年使用:0次
名校
5 . 已知函数
,且
.
(1)求
的值;
(2)证明:
在
上单调递增;
(3)求
在
上的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8351110ff36ec613d18193bdb46f9adf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e27c24244b1fdbf1455087c2ebf41c8b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d55ef0d1b7ea88d92fd6e1ecebb5f5.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942353eb0d2921c2e8d053d055218318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
您最近一年使用:0次
2023-11-23更新
|
1098次组卷
|
4卷引用:河南省2023-2024学年高一上学期学业质量监测期中考试数学试卷
河南省2023-2024学年高一上学期学业质量监测期中考试数学试卷河南省第二高级中学2023-2024学年高一上学期期中数学试题(已下线)6.2 指数函数-【题型分类归纳】(苏教版2019必修第一册)(已下线)专题04 与指数函数、对数函数有关的复合函数及函数方程综合应用-【寒假自学课】(人教A版2019)
解题方法
6 . 函数
,则函数的最小值为______ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f01b9af39fe9a1fd952013c5e41cb90.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
的定义域为
,则函数
的定义域为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d69c8147dd7b7c1a46739e30c595fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dccf1f9faac56117d6d3dd1dddd286d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aed024cee02f9828a2b8f7cffe31209.png)
您最近一年使用:0次
名校
解题方法
8 . 完成下列问题:
(1)求不等式
的解集;
(2)已知函数
(
且
)的图象过定点
,若
,使
,求实数m的取值范围.
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff1fa9a762b9538dc6b60b541a81ba11.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8a8a77dbb658777fe3c79f6bc23ab22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83eacd38727f29b2c2c68ee309080fee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03df49095c65d7485e9faf0eac53d3a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdf7a0098d4ea8a0ad76dab74698fcb3.png)
您最近一年使用:0次
名校
9 . 已知函
.
(1)求函数
在
的最小值;
(2)对于任意
,总存在
,使得
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/793338a3b7f569f585098187b72b75ba.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ca5e984d5e14b4be18a5ee99f80a4f.png)
(2)对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbe12c440d5d8c07924dbf67a8bf2120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17641d15644d5fb2c79fd1016b21520f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f70a1c33be415b2e32fc9c4c8b19b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f963d35e2915e2a11cb069e9f3f41d9b.png)
(1)解不等式
;
(2)求
在区间
上的值域;
(3)对任意
,总存在
,使得
成立,求a的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f963d35e2915e2a11cb069e9f3f41d9b.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb162075d57e64378381911878f3243.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ca5e984d5e14b4be18a5ee99f80a4f.png)
(3)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e1c2584ee81fb59687bc72dfe6671b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e70db4fa015a8b4fb6da18c6959ac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
您最近一年使用:0次