已知定义在R上的奇函数
满足
,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5215a578933ba72022450a6d3a37d14.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e264b11a47db447a7a0a19f2c3b8900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3e46371f310e03a153a1698aad9d4c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/488396900af10de0fa1e3c097faa09ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5215a578933ba72022450a6d3a37d14.png)
更新时间:2023-09-03 22:45:31
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【推荐1】已知定义域为R的函数
为奇函数,且
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1893ec3241bbeb7909e5a1ecfb7c1760.png)
_____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bd99579060af96ae0d0d1408427d13a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/241553167658572549705dda8cd7c207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1893ec3241bbeb7909e5a1ecfb7c1760.png)
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【推荐2】若定义在R上的函数为奇函数,设
,且
,则
的值为
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【推荐1】若
是定义在
上的函数,
,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212381ec0dbd7f351b18b78f2398ab3a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
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【推荐2】
是定义在
上的周期为3奇函数,当
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__________
![](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/ca542e78b7d77d008c9c4752afa91a55.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc46ccbf89af81f45b86fbd7f3599d3.png)
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【推荐2】已知函数
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c982b694ca4d1a65687ba43fd5a0d252.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/708308e7f1611f119d88541fd1760e3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c982b694ca4d1a65687ba43fd5a0d252.png)
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解题方法
【推荐1】已知偶函数
满足
,且当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d42b950ec71fdcb45c16a6fff7834ba.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081c6f4caf55d04e1577ebf3293ba232.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78132753bd0d62932f7ff62a7046f7ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20f4df9086b2cf83564b4abb151f1a1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee6881a170f6ef9ed5c133b95c2f448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d42b950ec71fdcb45c16a6fff7834ba.png)
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【推荐2】黎曼函数是一个特殊的函数,由德国数学家波恩哈德·黎曼发现,在数学中有着广泛的应用.黎曼函数定义在
上,其解析式如下:
若函数
是定义在
上的奇函数,且对任意的
都有
,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59de88faff3ece869104b44830e90cef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/415ded89d281a66e3cdc078bf34e0fc0.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/207b60e9a687a15696a38fd9ab5cc5f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13eb1542c4f359eac4452862aebbb31c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d9337ee4b76988d714bff2c12f955f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59de88faff3ece869104b44830e90cef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/415ded89d281a66e3cdc078bf34e0fc0.png)
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