1 . 已知
, 则
的值等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b124166355a78d41f041b1d24e38f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e2df48601f2d4b139a84b6a6310ff5e.png)
A.-2 | B.0 | C.![]() | D.4 |
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2 . 已知定义在
上的函数
满足,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92682840e2a230de346562b2032f8adb.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66516154e2ec099a7f7607a8a474e8a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92682840e2a230de346562b2032f8adb.png)
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3 . 若
为
的各数位数字之和,如
,
,则
;记
,
,…,
,
,则(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5d694cf50da47cf209cc204c63202e1.png)
______ ;(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e7a50630285fba34f1f288d2fee651c.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38fcec7af3520884b173b29bda6c657a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4625f7b03625b166ebd31f52d4acc396.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ee0e161c98bbc04299df0661ab24434.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a76beb048182bf1257db4301f5659741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b6f64f96fc7031a474bf7d436bdac01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b8e53ea8025dad94d129b8059aeca0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8502b8308c45d8ed61894059a8bffa18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4ba2605236afc5f137664bb4f9938f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf5776ec7059c208daf01ca48a34915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5d694cf50da47cf209cc204c63202e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e7a50630285fba34f1f288d2fee651c.png)
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2023-11-15更新
|
75次组卷
|
2卷引用:广东省广州二中教育集团2023-2024学年高一上学期期中数学试题
4 . 设
是定义在
上的奇函数,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d0ffb1571fce8b1442c2927084c0a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/547050cd8eb363c1c48b110b063b21db.png)
A.0 | B.2 | C.![]() | D.![]() |
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5 . 已知函数
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d4e5eca39eead14e4f438f5a9aa30fb.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638b4c97c179c9c6faa7bdf5756e68ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7d9c13a33197addaf8a59338ab8c2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d4e5eca39eead14e4f438f5a9aa30fb.png)
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解题方法
6 . 已知函数
的定义域为
,值域为
,
,
,都有
,函数
的最小值为2,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8104562d66013cd8ea492af7833c7c3f.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa078bf063c53e4cd50579363c8c7927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f70e0db0174a2c05b28fb6d0c2508778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fededa8a9bf9deb54910f529dd9ba47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e487c0590c5058786a33ceaf3d91fa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8104562d66013cd8ea492af7833c7c3f.png)
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7 . 如图,函数
的图象是折线段
,其中A,B,C的坐标分别为
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e9ed1f2cf208616d59de0dea3c3d48.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1a65d88f9823d49da8f3b96ea9ec6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d02dba7080b2d1e0d7a4a16a48a0d47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e9ed1f2cf208616d59de0dea3c3d48.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/5/e3dc3f63-c4fe-4c2a-a1d7-2eac3b86f5cd.png?resizew=186)
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8 . 已知函数
是定义在R上的偶函数,且当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/becd598a11b876d858728161a7a09705.png)
(1)求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7253edeaacc129d2816bcca503a5def.png)
(2)求函数
的解析式
(3)若函数
,求函数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/becd598a11b876d858728161a7a09705.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7253edeaacc129d2816bcca503a5def.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512ccc7e55810eb13a18f58bad153d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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解题方法
9 . 1837年,德国数学家狄利克雷(P.G.Dirichlet,1805-1859)第一个引入了现代函数概念:“如果对于
的每一个值,
总有一个完全确定的值与之对应,那么
是
的函数”. 狄利克雷曾定义过一个“奇怪的函数”:
(Q表示有理数集合),关于此函数,下列说法正确的有( )
![](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/d1aa96dfe131aebdf1eddf791a9cc88b.png)
A.对任意![]() ![]() |
B.![]() |
C.若![]() ![]() ![]() |
D.存在三个点![]() ![]() ![]() ![]() |
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解题方法
10 . 已知函数
的定义域为
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b29fc7dd4f47130e721ed34462cc677b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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