名校
解题方法
1 . 对于在区间
上有意义的函数
,若满足对任意的
,
,有
恒成立,则称
在
上是“友好”的,否则就称
在
上是“不友好”的.现有函数
.
(1)当
时,判断函数
在
上是否“友好”;
(2)若函数
在区间
上是“友好”的,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09760796d5ac6dfe5593fff41264b46c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1a8c69aaecfbe4d8bd7cf01a3b79c50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d92faa63f0f0b144600e077009eb956e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23980be9e2a5c9b855d58cee4b5b860e.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
为奇函数.
(1)求实数a的值;
(2)判断函数
的单调性(不用证明);
(3)设函数
,若对任意的
,总存在
,使得
成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a69b85a3f27c512d3b8f389b009c2fd4.png)
(1)求实数a的值;
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75fefc4e600a5331b9c34f4bf569d90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb8a22408b9f93493f54bd6a94b57d9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0c58890dbb803accb289676f61d0c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3bb43da17137e6c50874a8086df278.png)
您最近一年使用:0次
2024-05-11更新
|
1005次组卷
|
3卷引用:广东省汕头市潮阳实验学校2023-2024学年高一下学期期中考试数学试题
名校
解题方法
3 . 已知
,
,
,
,则在
,
,
,
,
,
这6个数中最小的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785dac87206d5a2fde58dc629575440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cebc1007b5d36761f8049826077df50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0595ddf421f5eb6304903870905adf06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f44db1ac4ff914ce499c4f650ca9e517.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1103ddae6ffaba2b15808c6df09c0248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77fa8d7b2895886fb1a63a127acbe69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94720967984b2ab27d9637569ee1c146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1afc5679cf6db93d692a4e38ea07c41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc952bb461a420a6877211ce32ac50d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb00b6918dfb251c1a63acdc07464b92.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-10更新
|
635次组卷
|
2卷引用:江西省宜春市丰城中学2023-2024学年高一下学期4月期中考试数学试题
名校
4 . 下列说法正确的是( )
A.“![]() ![]() |
B.![]() ![]() |
C.若![]() ![]() |
D.命题 “![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-11-26更新
|
248次组卷
|
2卷引用:山东省日照市2024届高三上学期期中校际联合考试数学试卷
名校
解题方法
5 . 已知函数
,若对任意
,总存在
,使
成立,则实数
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74646cab877031bab19600fc21417925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bb0e58e4624e55e4c5b880b84652220.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d8d908773b59dd4e5056341faa2a962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6154e00013d9dee84c0e941f676ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
6 . 指数函数
图象过点
.
(1)求
的解析式;
(2)若
的图象上有
(其中
三点,
的面积为
.
①求
的解析式;
②求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b583db564652742ec2629d9d0b8b44e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8f898730203f9cceb760c6a0632e5b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e265e33c96024737d2660850197bece.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828b374133c48f127b4ab1f505d6dd99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5451a66fb4f48811e042d8ca250f51.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5451a66fb4f48811e042d8ca250f51.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5451a66fb4f48811e042d8ca250f51.png)
您最近一年使用:0次
7 . 已知函数
.
(1)当
时,试判断
在
上的单调性,并用定义证明.
(2)设
,若
,
,求n的取值范围(结果用m表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13c2e44d86d56a642270024c2d28de26.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4c78214e43a8b93f2a57072033cbcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d3cf4e55ea58b97955756b5ff997e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45629401c958d19cede8cba3d20ab2b5.png)
您最近一年使用:0次
解题方法
8 . 已知函数
(
且
,
为常数)的图象经过点
,
.
(1)求
的值;
(2)设函数
,求
在
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17afd02a58c3d3c25ac4f8cab171e24.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/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/758a8bbcb76c425086a92f133203a433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e6445e0fc58359e249fe2fb1edbed7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51fbe4dcae782f9d4f2ff909ffda9c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dccf1f9faac56117d6d3dd1dddd286d.png)
您最近一年使用:0次
2023-12-23更新
|
856次组卷
|
7卷引用:山西省部分学校2023-2024学年高一上学期12月联合考试数学试题
山西省部分学校2023-2024学年高一上学期12月联合考试数学试题海南省2024届高三上学期一轮复习调研考试(12月联考)数学试题(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)福建省福州市九师教学联盟2023-2024学年高一上学期1月联考数学试题(已下线)专题06 幂指对函数的图象与性质(2)-【寒假自学课】(苏教版2019)(已下线)高一数学开学摸底考 01-人教A版2019必修第一册全册开学摸底考试卷(已下线)热点2-2 函数的最值(值域)及应用(8题型+满分技巧+限时检测)
名校
9 . 已知函数
,则下列判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23429417a485a06d91af7fa65506827.png)
A.函数![]() |
B.函数![]() ![]() |
C.函数![]() ![]() |
D.函数![]() ![]() |
您最近一年使用:0次
解题方法
10 . 已知函数
的图象关于原点对称.
(1)求实数m的值;
(2)用定义证明函数
在定义域上的单调性;
(3)设函数
(
且
)在
上的最小值为1,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e662ac65a8888d53333b6e90457dc389.png)
(1)求实数m的值;
(2)用定义证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c75ed4daf6da6d321b53223bee9c47f1.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/1bc230ebb8474891d4994e868417b88d.png)
您最近一年使用:0次