解题方法
1 . 设
表示不超过
的最大整数,如
.设
(
且
),则下列选项正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0519e979b682bbc8790262f849b5f86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c40026fa16476f31b340e06c1dc2a203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
A.函数![]() ![]() |
B.若![]() ![]() |
C.函数![]() ![]() |
D.函数![]() ![]() |
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解题方法
2 . 已知
是正数,且
,则下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf913c92060a7bad4de1ee8c04d011e.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() | D.![]() ![]() |
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3 . 已知函数
的图象为
,以下说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a65875c5582fb949c3e90f71fbbe6eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.函数![]() ![]() |
B.图象![]() ![]() |
C.图象![]() ![]() |
D.要得到函数![]() ![]() ![]() |
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4 . 下列四个命题:①
;②若
,则
;③
;④
.其中真命题是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7449525f28177324cbed9d6aa755e3e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0009758cf2b952f3f57640b946f08f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9b7c28e8db73b63097fb26d9692e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec8401033d0919f50303b8c8796719a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a5d1649ef19c24c8309f594741a5b61.png)
A.① | B.② | C.③ | D.④ |
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解题方法
5 . 函数
和
的定义域均为
,且
为偶函数,
为奇函数,对
,均有
,则
( )
![](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/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f1e862f97497680125f698497f0bfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c016322c5717e42d038b87259dc5bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9c8aed6579f22c1547bd661b2696eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02148111fd85f01d53e999c4ddada99.png)
A.6 | B.50 | C.616 | D.1176 |
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解题方法
6 . 若关于
的不等式
的解集中恰有2个整数,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2856855bf22d5e4e83fbe582b93200.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 已知
,则
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd81818499f3cacbea0d0a58fa19fda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 函数
的零点所在区间为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dceca1eb292d4aa5c14b32ed2a13544f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
9 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aabf9fb99343704daad3c4ee473b8433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fce6eb40ee34618946c04434997f76d5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 已知函数
(
且
),且
.
(1)求函数
的定义域:
(2)判断并用定义法证明函数
的单调性;
(3)求关于
的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c27da659911fe217c9df01e8e8753adf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56e23b5b47f477eeefe961e554e7c68a.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断并用定义法证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)求关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b3ecde8d91e260d71cb3ac2ec4b416.png)
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