1 . 已知
,构造函数
,关于
有以下结论:
①有最大值3,最小值
②有最大值
,无最小值
③递增区间为
④最小值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
其中正确结论的序号是:__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c622dc8fbb971cfdf55ee8fe7453f0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad11960a939272086394d09a5e9f788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
①有最大值3,最小值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eecd52065ab91e5752070a153f5b85f1.png)
③递增区间为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c68e94e79e9e83efe2bf15b3f202530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
其中正确结论的序号是:
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解题方法
2 . 已知函数
(
且
).
(1)判断函数
的奇偶性并说明理由;
(2)是否存在实数
,使得当
的定义域为
时,值域为
?若存在,求出实数
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d59851caf3174cb1b7a54c2c6882ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57d3db0fbbcc4d4139bea308d35c7242.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3 . 黎曼函数是一个特殊的函数,由德国数学家黎曼发现提出,在高等数学中有着广泛的应用.黎曼函数
定义在
上,且
,则以下说法:①
的值域为
;②方程
有无穷多个解;③
的图像关于直线
对称;其中正确的个数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9966dfe9109671c587892bd32f0b6699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2b33c2b1ddd3c37a0c011c3d31148e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9966dfe9109671c587892bd32f0b6699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da3a4865a6de6ea0d03e22558a3d14c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9966dfe9109671c587892bd32f0b6699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b650820d7bed48ed67a2869ad8c65ff1.png)
A.0 | B.1 | C.2 | D.3 |
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4 . 已知
,若
,
,则
的取值范围是_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e7f203d4c93f41cd794de2db24c3acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f94345694d4215284c41f87146795ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3910a0f217d8109b9467f740fc84a73d.png)
您最近一年使用:0次
2019-01-29更新
|
753次组卷
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4卷引用:重庆复旦中学2020-2021学年高一下学期开学学情诊断检测数学试题
5 . 已知函数
的定义域为
,则可求得函数
的定义域为
,求实数m的取值范围__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/550499921d6226488ce18f5a34b63590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbae0d22d931ac42b565c7990764a2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18377150b1ced455e66c9054f7305379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
您最近一年使用:0次
2017-11-09更新
|
3493次组卷
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5卷引用:重庆市巴蜀中学2017-2018学年高一上学期10月月考数学试题