1 . 设
为整数.则
的值为.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d0debd4b91e64ef5a0dde8e8c83cda8.png)
A.![]() ![]() | B.![]() | C.0或2 | D.2或4 |
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2 . 函数
的值域为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05152b35664be4610a1a81613ce898c8.png)
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3 . 已知函数
,对于任意的t≥1恒有f(2t-1)≥2f(t)-3.则实数a的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1f347686ce62142fe1ca6205e9643a.png)
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4 . 已知
.则
的范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436cb13b00757c5710afff770e6a044c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db796b223b35e52aa7b4114da8072f5.png)
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5 . 设函数
(a>0,且a≠1)的反函数为
,函数y=g(x)的图像与
的图像关于点(a,0)对称.
(1)求函数y=g(x)的解析式.
(2)是否存在实数a,使得当
时,恒有
成立?若存在,求出a的取值范围;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73dd0b9fa0408acafe9687cd4094d8b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/135bcf6d7f7c04641823b90f1d038eee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/135bcf6d7f7c04641823b90f1d038eee.png)
(1)求函数y=g(x)的解析式.
(2)是否存在实数a,使得当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ff97e50057065309ad01ddc83a1239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e969f22efb6849e0107e1a0fd076de.png)
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6 . 函数
的值域是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318306caf7e134d59d66312339fce13a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知函数
.若
的定义域为
时,值域为
,则m、n、k应满足的条件是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da2104a700400167ff92682eb62d4da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b605bf480dc152b67ebb9ebd96200b03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4710862de149b8d1ff9be34376cbe869.png)
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8 . 已知
;
、
.
(1)求
的最大值与最小值;
(2)求所有实数
,使得对任意三个实数
、
、
,存在一个三角形具有边长
、
、
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636631cfed262ed594a6a1023b06a480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求所有实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f484115a9df1b6060d6b14df85c6f38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35770a47ffcba6bf1d94eceabb416d96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee0882f5f575d9e0ae7677efbd41b38.png)
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9 . 设正数
、
满足
会且使得关于
的不等式
总有实数解.试求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42908e5970778a25f84f920bc896e5b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da1c8f7af1168b6c05519be96bd304a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a38df5e6ff4bc77d7e035a1f28853fd.png)
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10 . 已知
,
,设
.则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a061c3d02a5ee3d1f90c6e941c0d9ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a589b3f8add80eece454073a72ff4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595044a7750ab4f84519041979c3d780.png)
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