名校
解题方法
1 . 已知函数
是定义在
上的奇函数,其图象经过点
.
(1)求函数
的解析式;
(2)判断函数
的单调性,并用定义证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edca7308bb63472f3fb9df534a65ee10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04fffee6045a6f9011090b37748c9c00.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
您最近一年使用:0次
2 . 设
,
是函数
的图象上的任意两点.
(1)当
时,求
的值;
(2)设
,其中
,求
;
(3)对应(2)中
,已知
,其中
,设T为数列
的前n项和,求证
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45dddee525114c09ee0d1205aed6e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b3b54e0dcdc081d45fb3df933cddc29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43aaf5088a5e0f2f3c85b1d39326d242.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e8d8441014892f9ad3dbaad3f89774e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bfc8f775c0c874c4ea920136a91db8f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/208de3931b3ab66e2880a3bfe32d9afd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(3)对应(2)中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac7cf140605953920ee42014b6b99626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25673902449184f5727cbc786aa82a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ba74f65acbf50f8c3e7f97de19198d.png)
您最近一年使用:0次
2021-01-05更新
|
790次组卷
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4卷引用:福建省宁德第一中学2022-2023学年高二上学期9月月考(一)数学试题