1 . 定义运算
,则对函数
的描述中,正确的选项是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64b8fb76bf664fc424b7cabfc0c88dfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d6da2e764709f4bcb764c9211626078.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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2024高一·全国·专题练习
解题方法
2 . 已知
,
,设
,则关于
的说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ad66444c25dffac119df5b26ace1114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13ddac37d332169a34598a63b4634b46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d4dc5e115f2ddfb289b64e58a63d1ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
A.最大值为3,最小值为![]() |
B.最大值为![]() |
C.单调递增区间为![]() ![]() ![]() ![]() |
D.单调递增区间为![]() ![]() ![]() ![]() |
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解题方法
3 . 已知函数
下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af4da5faaa94f2ab558d41266a1b23eb.png)
A.![]() ![]() |
B.![]() ![]() |
C.若函数![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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名校
解题方法
4 . 已知函数
,若存在
,使得
,则
的取值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f00d0b4e7a58fca7892ca4d58fb4933d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e45e961dd36b8f85703c91f248da3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35bacde908aec2c313978fc4309d82bc.png)
A.![]() | B.3 | C.![]() | D.![]() |
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解题方法
5 . 已知函数
的图象是一条连续不断的曲线,且
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97aa7457cc4f4f8358a5f6e62a6e1efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fefbe76e89abcb81b8840e62a438260b.png)
A.![]() |
B.![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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名校
6 . 已知函数
,有4个零点
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1846084bb84cb3aab6462299344d2af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147c46ee154e423262ca4c22b2ed2ace.png)
A.实数![]() ![]() |
B.函数![]() |
C.![]() |
D.![]() ![]() |
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解题方法
7 . 1837年,狄利克雷提出了函数的现代定义,即如果变量
与变量
相关,使得根据某个规则,每个
值都对应唯一一个
值,那么
就是关于自变量
的函数.并举出了个著名的函数-狄利克雷函数:
,下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07eec4f873e724716282f677c596fa5a.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() |
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解题方法
8 .
,用
表示
,
的较小者,记为
,若
,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531bcdb6324cb5a759301daddf9768c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9772ebd6f5dc607d082d1b7b36a3f0de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df18da1ecd1a83afc4544ee71f00c56b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/176c4a9de5a11fa2574fb00cd316a8db.png)
A.![]() |
B.函数![]() |
C.不等式![]() ![]() |
D.若a,b,c是方程![]() ![]() |
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9 . 已知函数
的定义域为R,且满足
,则下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebd9d88ab4e8b62f3fdf5a5c510b7f2b.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() ![]() |
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名校
解题方法
10 . 函数
的零点个数可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f1055673cae8a84ea82f5fa0a07f264.png)
A.1 | B.2 | C.3 | D.4 |
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