名校
1 . 已知函数
,有下列说法:
①函数
对任意
,都有
成立;
②函数
在
上单调递减;
③函数
在
上有3个零点;
④若函数
的值域为
,设
是
中所有有理数的集合,若简分数
(其中
,
为互质的整数),定义函数
,则
在
中根的个数为5;
其中正确的序号是______ (填写所有正确结论的番号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2396ddd498ea0a67976faee085a9040.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5182a8b74c894231021e20380f864fb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d01b783b94032c6075b6216f4b004422.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f96171f9701745c5aa7a12c1a56f258d.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404eebc73c42da1958ee5f45fb0dc234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
④若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9dca0c96ffbbe2d1cd3feb48aaad70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38a9460c3fda4a1eb640321a08e7e463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30c656b2c02623702ed1cf97b7e31e12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cada71a249d4ba0dee9c0fa9ab5e2c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
其中正确的序号是
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