名校
解题方法
1 . 已知函数
,且对于
,恒有
.则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf95701f2c49f80d66c27fd8bcd95843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8625151f40f341575c1a71992e485188.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa10bae6ce6e91bf99c580d102947b46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-01-12更新
|
586次组卷
|
2卷引用:安徽省阜阳市第一中学2023-2024学年高一上学期数学竞赛试题
2 . 若函数
对于
都有
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bced2a1c7ae4443e530a5d94437ac21a.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecb436aefa1e2b0df80c444861db6628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/496a673837555bd3657dd96bfdd10dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bced2a1c7ae4443e530a5d94437ac21a.png)
您最近一年使用:0次
3 . 已知函数
,则
的值域为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca978e8a329643ee8c414a78afeff41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
解题方法
4 . 设点
,
,点
是函数
图象上一点,则
面积的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8748dc55e2f45bc37fc4d84d7310f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49cba284d675a3028d7a8d54f1f8ae70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc0f7a4269ba9e0f3fda12a47c8fcaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
解题方法
5 . 已知函数
的定义域为
,则函数
的定义域为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff26491b344566f7bb04cbb7deb6baa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d212f8d58b320c561f43dcef9b9228.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1913c9d408bcd4e962f28cc6eec70446.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
6 . 定义在
上的函数
,满足
,对于任意的
都有
成立,并且
,使得
.
(1)判断函数
的单调性,并证明;
(2)若
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ab4b75fa22deba7fcbcdcb31dd45b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092431a9943a565a117b52344b567470.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/756cd04fb04459ef15b1d37c9bb88e9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9495589e8fc068d51c8f2a09af841403.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/144e44feec7d20af900888481082a954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d25518faff49f884d9ba79d8d603634.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
为
上的函数,对于任意
,
都有
,且当
时,
.
(1)求
;
(2)证明函数
是奇函数;
(3)解关于
的不等式
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac87434324956e4145e38ad92a1aa95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32447060a910faf370a7715ecf4c97e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104fc7daa1aaefd69764e2616109a4c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c60cf12a81b11e33356fe7e1c9e3d0b9.png)
(2)证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb9227f0443a5249d9027d831f87b6d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
您最近一年使用:0次
2023-12-12更新
|
484次组卷
|
3卷引用:安徽省阜阳市第一中学2023-2024学年高一上学期数学竞赛试题
安徽省阜阳市第一中学2023-2024学年高一上学期数学竞赛试题江苏省宿迁市泗阳县桃源路中学2023-2024学年高一上学期期中模拟二数学试题(已下线)专题03 函数性质的综合问题-【寒假自学课】(人教A版2019)
名校
解题方法
8 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce29b856fd39fba0f4c440e98e51194.png)
(1)求不等式
的解集;
(2)若
对于任意
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce29b856fd39fba0f4c440e98e51194.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adb1dc30d4b297c6d5d0d6d91eab1e3b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a764b21b0d905ab7699fe4a9f2d84b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aab055102aa93be3bc359d54ab87d694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-12-11更新
|
481次组卷
|
2卷引用:安徽省阜阳市第一中学2023-2024学年高一上学期数学竞赛试题
名校
解题方法
9 . 已知奇函数
满足
,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2be2c3af7d526b0ea0c57c0a2bc9ee7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a294ac176a455e749d73aedb6eb7f3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047056c99b39c70fa40d3c8178e5b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99eaeb2ab68a49074d623ffca072fed8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2be2c3af7d526b0ea0c57c0a2bc9ee7.png)
您最近一年使用:0次
2023-12-11更新
|
394次组卷
|
2卷引用:安徽省阜阳市第一中学2023-2024学年高一上学期数学竞赛试题
解题方法
10 . 已知函数
定义域为
,若对于
,当
时,都有
成立,则称函数
是“共建”函数,则下列四个函数中是“共建”函数的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2836e6fab597cbfbbc38ce832c6d0191.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58f710bb0461f21e83a88d1808c35631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次