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解题方法
1 . 已知集合
,
.
(1)若
,求
;
(2)若
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd9b1f0d1e27c70bab1e18aff1e07e5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b44e878ae3f8269166414c44844c5e4b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0db2c49919467a2e14540f2aabd05cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
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2021-12-10更新
|
467次组卷
|
2卷引用:四川省遂宁市射洪中学2021-2022学年高一上学期第三次(12月)月考(强基班)数学试题
名校
解题方法
2 . 已知幂函数
经过点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a2fafafa9bf073e057e0f50a445566.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081cd41dab0f2a8f84b0e9f1df4843fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a2fafafa9bf073e057e0f50a445566.png)
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3 . 已知定义在R上的偶函数
满足
,当
时,
.给出下列四个结论:①
的图象关于直线
对称;②
在
上为减函数;③
的值域为
;④
有4个零点,其中正确的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a52be6f643eb2a0e852177e4dc26e7b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b96c2c79f7d0a248ed590a0bce7eb8bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e88ebfb5c0d6cce558b515be06404d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dccf774d3f5ac9af2665cd6f5f9bde3.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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4 . 已知函数
是
上的增函数,那么
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63357dfe72de2b98fb7129bc355a255a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2021-12-10更新
|
880次组卷
|
3卷引用:四川省遂宁市射洪中学2021-2022学年高一上学期第三次(12月)月考(强基班)数学试题
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解题方法
5 . 已知函数
是
上的奇函数,满足
,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a6955a7b0ec72cb63a83524e9ddbd8a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e298fe246eef819dd9b1edabe3bb9cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047056c99b39c70fa40d3c8178e5b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ae36882715e73c2c82b1565ae83cff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a6955a7b0ec72cb63a83524e9ddbd8a.png)
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6 . 洞庭湖是我国的第二大淡水湖,俗称八百里洞庭,洞庭湖盛产鳙鱼(俗称胖头鱼),记鳙鱼在湖中的游速为
,鳙鱼在湖中的耗氧量的单位数为
,已知鳙鱼的游速
与
成正比,当鳙鱼的耗氧量为200单位时,其游速为
,若鳙鱼的速度提高到
,那么它的耗氧量的单位数增加了( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/127837f2bb6eb64dcda4cfc96c19949b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc13a607ac0c7f76d252d7cb1bb040fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6524375a6ba5e979fd63194abbe1a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ec99997125ceb6e627f5611d0cc08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc5377bf44cfdd29326e0971792b4750.png)
A.3倍 | B.4倍 | C.5倍 | D.8倍 |
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7 . 函数
的定义域为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79bccf6c489864139feac9f73b58eeb7.png)
A. ![]() | B. ![]() | C. ![]() | D.![]() |
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2021-12-09更新
|
1028次组卷
|
5卷引用:四川省遂宁市射洪中学2021-2022学年高一上学期第一次月考数学试题
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解题方法
8 . 已知函数
是定义在R上的奇函数,且
时,
.
(1)求函数
的解析式;
(2)若
对任意的
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b12f2ff24c52fded1dfd0f0b6940a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927ff8892b40cfd748027e5a2211d1d9.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3698af54c1d3856dc92c29595d31c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
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9 . 关于函数
,
,下列说法正确的有( )个
(1)若该函数为奇函数,则必有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bea8bf593f594c51fc7cc547482bee.png)
(2)若该函数是偶函数,则它的图象必与y轴相交
(3)若该函数在区间I上是单调函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e31b14d5b4da0298a7dea660b03d1066.png)
(4)若该函数的最大值为M,最小值为m,则它的值域为[m,M]
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
(1)若该函数为奇函数,则必有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bea8bf593f594c51fc7cc547482bee.png)
(2)若该函数是偶函数,则它的图象必与y轴相交
(3)若该函数在区间I上是单调函数,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e31b14d5b4da0298a7dea660b03d1066.png)
(4)若该函数的最大值为M,最小值为m,则它的值域为[m,M]
A.4 | B.3 | C.2 | D.1 |
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解题方法
10 . 下列各组函数中表示同一函数的是( )
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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