名校
解题方法
1 . 若函数
是定义在
上的奇函数,且
在
上单调递增,
,则满足不等式
的
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25323b9ea0c48b15cadf4ee916aed649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499f29be7db3f98074a12bf45fa1924b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
2 . 已知函数
为奇函数,且
,当
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c09c5c89b0c2a92f8c4b70e69b0eada.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c6fd660dd8bdcb76921fd72436d8f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e4e0015bbadab05308e3de499b37799.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() | D.![]() |
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名校
解题方法
3 . 已知定义在
上的函数
满足
,且函数
为奇函数,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f710b55916b8c17b934638522fb4024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f803e878a0384869f4ef5fa672574884.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() ![]() |
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名校
4 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf6ad1595b70b4ed251f0b46e68b4ca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfec00a7c1ce91dabbe786943f7f0673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 含有3个实数的集合可表示为
,又可表示为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e999b561583b4e422de4415d6e5b110.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40918974b3dd39f686bf1d6962490664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dac5ed38ebb5096affd6682970433ed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e999b561583b4e422de4415d6e5b110.png)
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名校
解题方法
6 . 已知函数
是定义在
上的奇函数.
(1)求实数
的值;
(2)判断
在定义域上的单调性,并用单调性定义证明;
(3)
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13cbc2ed4bad6431037602fc427e6756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5667bc1ea875422f618529aa5f254f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e9b1365d76a10c212db1c91c5f91f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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名校
解题方法
7 . 设集合
,
,
(1)若
,求
,
;
(2)若
中只有一个整数,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff1aa2c6593b922adda24f698c682dd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f7259cb8656ee25e0cf139c5ef44bfa.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9cf8dffa529bdb60c61af0d12c7e737.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e349af7d47125d7028ee57178e199da5.png)
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8 . 内蒙古某地引进了先进的污水、雨水过滤系统.已知过滤过程中废水的污染物浓度N(单位:mg/L)与时长t(单位:h)的关系为
(
为最初污染物浓度).如果前2h消除了20%的污染物,那么污染物消除至最初的51.2%还需要( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502eaabe8c0ab9569976da8205fa94d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ccd4537f4dee2050ade38b972eb9b9.png)
A.3h | B.4h | C.5h | D.6h |
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9 . 设集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/738a7c89b55b5c5aed4f31b5ce834134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45b40d8dd0aec53090a5b73fca9ad54b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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