1 . 已知函数
,则下列关于函数
的说法,正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08d970b0fba01982f3764aa145f02d57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
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名校
2 . 已知函数
图象的一条对称轴为直线
,函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af853d2ce30483fafa59ff9583b5da3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de633b2c143b9f76b29cde1c6ffce71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/038f64de2d8a5b0677f48f3b97b27f75.png)
A.将![]() ![]() ![]() |
B.方程![]() ![]() |
C.函数![]() ![]() |
D.![]() ![]() ![]() |
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3 . 若函数
满足
且
(
),则称函数
为“
函数”.
(1)试判断
是否为“
函数”,并说明理由;
(2)函数
为“
函数”,且当
时,
,求
的解析式,并写出在
上的单调增区间;
(3)在(2)条件下,当
,关于
的方程
(
为常数)有解,记该方程所有解的和为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f865658d52dc9a5cff15e6f68d619b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac57a4fb21a142b8037a125c3dc191f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b21ccafa1ea9f2bf63343c1e09069c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6404751e42986a04f33c28167ea2dd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be95cb9223378f3d4e3a90edad4f6b9.png)
(3)在(2)条件下,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8aee4194937e6f7ea194b629f5cd05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338316b0fe50fdea0f2f75aec4c990dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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