已知函数f(x)=
.
(Ⅰ)求f(
),f(
),f(
),f(
)的值;
(Ⅱ)当实数a≠
时,猜想f(a)+f(1-a)的值,并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30677a288981d731598d8173d516896c.png)
(Ⅰ)求f(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb84f6fbac102ccf326b2223d69cb7cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0e7bfbd56fe73dfe04c04da749d942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10402e4ddd0d323cc1ae83801ae976db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33d78f02558d84c57e7db6d9c0221ba.png)
(Ⅱ)当实数a≠
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eff998d034284391ca064755fa6bf1b.png)
更新时间:2019-01-15 15:53:28
|
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解答题-证明题
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适中
(0.65)
【推荐1】已知函数f(x)的定义域为R,且对任意x,y∈R,f(x+y)+f(x-y)=2f(x)f(y),且f(0)≠0,f
=0.
(1)求f(0),f(π)的值;
(2)求证:y=f(x)是偶函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75ea4f6ae6c637d4316bfa3d7867cf56.png)
(1)求f(0),f(π)的值;
(2)求证:y=f(x)是偶函数.
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解答题-问答题
|
适中
(0.65)
解题方法
【推荐2】已知对应关系
.
(1)若
,求
的值;
(2)若对于区间
内的任意一个数
,在区间
内都存在唯一确定的数
和它对应,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2feea5b03584a5bc0fe991df5c956ed3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500465549e8f7304a55ce958a9156c8a.png)
(2)若对于区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead3fdcb8fe8f5eb3dbe7d96cabc28b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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