名校
1 . 已知函数
,对定义域内任意
,都有
,则正实数
的取值可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e354cf156dce1a97956d2421f6a918bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c414c707c8c9c8f8cc7de894b4a40c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.1 | D.![]() |
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2024-04-15更新
|
413次组卷
|
2卷引用:吉林省部分学校2023-2024学年高二下学期4月月考数学试卷
2 . 已知函数
,若对任意的
恒成立,则正实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34e563fb21d07910bbf3bf674d2e6c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0d848c18bf4ebef71405d575434e321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
3 . 定义
,对于任意实数
,则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5855d641a4f2d83e1bceb76311c2e24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a9344f4fca7b9779ca7720e5277ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b1e9af136e020f8b986df700601bb2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-26更新
|
1430次组卷
|
3卷引用:广东省韶关市2024届高三综合测试(二)数学试题
4 . 的最小正周期为?
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5 . 对有理数
,若
且
,定义
.求最大的正实数
,使得存在正常数
满足
对所有有理数
成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ee17bd1437d928f932fd1ebc1672d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ee31d3aeb5cbb8275a25e762d55fdcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f03255ec0c937126b9a018f1f42cf85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3806a5fe77b4104d16b0623719ffc6c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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名校
解题方法
6 . 已知函数
是定义在
上的单调函数,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb6c02e1e610bb662d183d6c57b8d7a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92682840e2a230de346562b2032f8adb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 已知
,(
,
,
),且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
___________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75216568cb4d59140c9b2597980e5b17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61e241c6c220b3b4705a8c1a465d7b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12b0e3b00fe47801afb53ec56706c21a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/759b7e549689ddaaedc917af73b7f902.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
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2023高三·全国·专题练习
8 . 设
是定义在
上的非递减函数,且
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13608d4e0ea7dc70bf4a5c56af030a38.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5855675189e8a4b72eaec5f5c9fcce58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bfca9e2cea383880fb2dfe0e71b9e2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13608d4e0ea7dc70bf4a5c56af030a38.png)
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9 . 组合数学中有一著名问题——Hanoi问题:n个圆盘依其半径大小,从下而上套在A柱上,如图1所示.每次只允许取一个移到B柱或C柱上,而且不允许大盘放在小盘上方.问若要求把A柱上的n个盘移到C柱上要移动多少次(只有A,B,C三根柱子可用).
![](https://img.xkw.com/dksih/QBM/2023/5/22/3243098679615488/3245146346930176/STEM/11116fded3e84eb3a9841659f8027ec4.png?resizew=131)
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10 . 若数列
满足:
,
.
(1)是否存在无穷数列
满足:对任意
,有
,请举一例,并指出所举例中a的范围;若不存在请说明理由;
(2)是否存在无穷数列
满足:对任意
,有
,请举一例,并指出所举例中a的范围;若不存在请说明理由;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fab51121848ce166035ceab6f4e00b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b8916a7bfe149fe37e01325ad753aee.png)
(1)是否存在无穷数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2798e1dcab1f7f0fe3b8a94b3cd6a88.png)
(2)是否存在无穷数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1254070260067f8bf2fec39a7d0c8f1.png)
您最近一年使用:0次