1 . 设
,
,给出下列四个结论:
①
在区间
上有2个零点;
②
的单调递增区间为
,
;
③
的图象关于点
对称;
④
的值域为
.
其中正确的结论的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e3e1c1513b3e14eab93a97aceed52b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bccd6a6e85bdf500218a3e75b31f3c.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bfd3a60e382c7658d50a22e20f4ddb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99074f989e74d5ff306b4b7b7a379c1f.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba8c5671c7a231e69641186f554755f0.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f32920d32f21572d1edd7f7ec4de24bc.png)
其中正确的结论的个数为( )
A.1 | B.2 | C.3 | D.4 |
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2 . 定义运算
,则函数
的部分图象大致是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa4a4c67f3a2fda3f59ef74461e0526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae672835598fbda40915942cbfa253e7.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 已知函数
,若关于
的方程
有四个不同的实数解
,且满足
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e746cb0aefbe1838937cfeb45760dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb2e46f49adba6036e2624639a1b966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ccd22fd0ca1a8e1468329284f91b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
4 . 已知定义域为
的函数
,若
是三个互不相同的正数,且
,则
的范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba98f75b9605963ce8ad94fe8296f274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f74cb3f9906bdbb0e6d9cf69fa2190b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d2d7ddd7ef3b6cde30018bc6a84b9e0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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