1 . 设集合
是实数集
的子集,如果点
满足:对任意
,都存在
,使得
,称
为集合
的聚点,则在下列集合中,以0为聚点的集合有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070054c0b4182ab7399ed56925844e93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fd9b15b5cdf1c131ebf7cf2776cf7a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cda2c2f61ea05fc8c8441fb3840e634.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
2 . 已知函数
,
的定义域均为
,
是奇函数,且
,
,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/0e81e15b871dd32b2438ef8025bcc42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c14f3e741b1b89e8ac71f2e4b990d443.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94be17f91e6b19de4c9f7561a40746d5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 定义:若函数
在其定义域内存在实数
,使
,则称
是
的一个不动点.已知函数
.
(1)当
时,求函数
的不动点;
(2)若对任意的实数
,函数
恒有两个不动点,求
的取值范围;
(3)在(2)的条件下,若
图象上两个点
的横坐标是函数
的不动点,且
的中点
在函数
的图象上,求
的最小值.(注:两个点
的中点
的坐标公式为
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f66a2b3d90f0d935d6c8ebaf675349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a3ff59c7595f9a810a419f964af12d5.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e76fa77d1b0bc4c1af9c8c41bf0dabe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对任意的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)在(2)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d8194c647746b72b3653fde39a7a3d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/031da5d48fbe63745429b1add253344f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b6c72f3daeb8af26c7fb806ae623e8d.png)
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4 . 已知函数
,
,则
在区间
上的最大值与最小值之和为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44974d9d44f337b5901acb0389090234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d7d6f1596e69ee35c9b9b0028c5b05e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e15c2171c1be9ec394494ad822a048d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e99bebf8db0d314aacb2cb1f09bf48c.png)
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2024-01-25更新
|
864次组卷
|
4卷引用: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)专题06 幂指对函数的图象与性质(2)-【寒假自学课】(苏教版2019)四川省成都市2023-2024学年高一上学期数学期末练习卷试题(1)江西省上饶市广丰区南山中学2023-2024学年高一上学期期末模拟数学试题(已下线)高一上学期期末考点大通关真题精选100题(1)-【题型分类归纳】(人教A版2019必修第一册)
名校
5 . 若函数
的图象关于
对称,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
__________ ,
的最小值为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f940f69c00028ae8bbf1e1b1a490b906.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2024-01-18更新
|
472次组卷
|
2卷引用:江苏省南京市金陵中学2024届高三寒假检测数学试题
名校
解题方法
6 . 通过等式
我们可以得到很多函数模型,例如将a视为常数,b视为自变量x,那么c就是b(即x)的函数,记为y,则
,也就是我们熟悉的指数函数.若令
是自然对数的底数),将a视为自变量
,则b为x的函数,记为
,下列关于函数
的叙述中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d8fbc0d0398356d468930e6efa76ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c770094c776a71fbc39c520f8e58d29e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f2e0e091cbd0daf2d9ab9abe8e5e78e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
A.![]() |
B.![]() ![]() |
C.![]() ![]() |
D.若对任意![]() ![]() |
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2024-01-11更新
|
423次组卷
|
5卷引用:江苏省连云港市灌云县2022-2023学年高一上学期期中数学试题
名校
7 . 已知函数
,若不等式
对任意
均成立,则m的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095b834cd8a576e8b3c70f0d2ed6192.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/800d0b09b5eac974f5508d1d6b970f44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
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2024-01-03更新
|
578次组卷
|
3卷引用:江苏省徐州市睢宁高级中学2023-2024学年高一上学期12月月考数学试题
江苏省徐州市睢宁高级中学2023-2024学年高一上学期12月月考数学试题(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)湖南省常德市汉寿县第一中学2023-2024学年高一上学期期末数学试题
解题方法
8 . 已知函数
和
在
上的图象如图所示,给出下列四个命题,其中正确的命题有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead3fdcb8fe8f5eb3dbe7d96cabc28b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/25/3bceec68-b759-4fb9-815e-bb772df4ffaf.png?resizew=330)
A.方程![]() | B.方程![]() |
C.方程![]() | D.方程![]() |
您最近一年使用:0次
名校
9 . 已知函数
是奇函数,不等式组
的解集为
,且
,
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0945bdc83f8e4c60d3f024ed2dc8f662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81080d1142aa16434cdde43d23937033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f803a468e5d66004e57372a5bf2c5e1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6270bb08b90f72d5671ab8225f356c43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a116cd52343795041a8543759ed9fa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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2023-12-23更新
|
375次组卷
|
2卷引用:江苏省南京市鼓楼区2023-2024学年高一上学期期中测试数学试卷
名校
解题方法
10 . 定义在
上的函数
若满足:①对任意
,都有
;②对任意
,都有
,则称函数
是以
为中心的“中心捺函数”.已知函数
是以
为中心的“中心捺函数”,若
,则
的取值范围为( )
![](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/a9f58d4591d668b4bc32fae4faab8298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f09c0670e752aa71b00f219f374b8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef357289121374304d64eeffac9517ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c3dd8fa2dc8c0c7e255bfb054ad34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e922443dfc4a22cfb96bc051a2dd3f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/586a00be943acb9327f3078db03591ae.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-12-21更新
|
474次组卷
|
2卷引用:江苏省盐城市响水中学2023-2024学年高一上学期期中考试数学试题