21-22高一·全国·课后作业
解题方法
1 . 已知
在定义域上是奇函数,且在
(
)上是减函数,图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/19/59818f33-f49c-4cd3-96b9-84847081c3ff.png?resizew=154)
(1)化简:
;
(2)画出函数
在
上的图象;
(3)证明:
在
上是减函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e14206c7d228a7c2259a7b27da8813.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/19/59818f33-f49c-4cd3-96b9-84847081c3ff.png?resizew=154)
(1)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c11a1a82cc1848d7b859ccf3c5497605.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b35d36ae1b7e62350f90a443a72574ac.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b35d36ae1b7e62350f90a443a72574ac.png)
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20-21高一·江苏·课后作业
2 . 已知函数
在y轴右边的图象如图所示.
是偶函数,试画出函数
在y轴左边的图象;
(2)若
是奇函数,试画出函数
在y轴左边的图象.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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