名校
解题方法
1 . 黎曼函数是一个特殊的函数,由德因数学家波恩哈德·黎曼发现并提出,在高等数学中有着广泛的应用.黎曼函数定义在
上,其解析式如下:
,定义在实数集上的函数
满足
,且函数
的图象关于直线
对称,
,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/278e9d16539c629216c293f32c242d1a.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3d775b9606e8687419df1be698b3d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bd8f461d2b1e50453be4d0898102f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26b410620202b8167fe08a5c8da1414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf946907938f50db6c122ebcf7e5cffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047056c99b39c70fa40d3c8178e5b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d9337ee4b76988d714bff2c12f955f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/278e9d16539c629216c293f32c242d1a.png)
您最近一年使用:0次
2023-04-08更新
|
1383次组卷
|
3卷引用: 重庆市巴蜀中学校2023届高三下学期4月月考数学试题
名校
解题方法
2 . 已知函数
,
,
.
(1)若
为偶函数,求实数
的值;
(2)对任意的
,都存在
使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0938eef47463cfa69d30c304786e1518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab5f6e5d306adfd7352ceafbd3d18038.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/152a39c30c0e2a9eea6a77550aa64802.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e15c2171c1be9ec394494ad822a048d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12965bbc260bdbb0df0a110e59fb8d78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bf60c5e8996d138198fe74f30ce520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd7e0c66b1580b6ced58738b026c978f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
,函数
为R上的奇函数,且
.
(1)求
的解析式:
(2)判断
在区间
上的单调性,并用定义给予证明:
(3)若
的定义域为
时,求关于x的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef8ceec2288e3485f893f8eae05fb07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e817f37f5a814e856ebc4a16d676ce.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83a3106a7d6a2edd5baa29f0ba76b1c.png)
您最近一年使用:0次
2022-01-24更新
|
940次组卷
|
4卷引用:重庆市复旦中学2021-2022学年高一下学期开学考试数学试题