已知
是定义域为
的奇函数,当
时,
.
(1)求
;
(2)求
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf2f1db8d8dd82e8088700b342c039d9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dfd6a748835fb39bec5043e4410522c.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
更新时间:2020-02-23 16:52:30
|
相似题推荐
解答题-作图题
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【推荐1】(1)求函数
的定义域,并用定义判断函数的奇偶性;
(2)若
为定义在
上的奇函数,当
时,
,求
的解析式并画出它的图像.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c7ef8fa23ec34062a02d23d04e7ac6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36761d980b7b57c4b1840740529b1e32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/30/462da123-61db-45e5-9195-55b9b437cc03.png?resizew=214)
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解答题-作图题
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解题方法
【推荐2】已知函数
是定义在R的奇函数,当
时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/f45c0d1a-cb19-4ff5-a946-235bca846105.png?resizew=243)
(1)请画出函数
图像并求
的解析式;
(2)
,对
,用
表示
,
中的最大者,记为
,写出函数
的解析式(不需要写解答过程),并求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/119e06d01d35c30f2166624271535bff.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/f45c0d1a-cb19-4ff5-a946-235bca846105.png?resizew=243)
(1)请画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74912a4bdbd89fb1d0b9fd10a1bc87b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a976d91358362fa49d6da8021fd47e2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c694cf892ee07daa54bdd9f2fb421e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316f701027f4bd38abca039b3499b498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c694cf892ee07daa54bdd9f2fb421e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c694cf892ee07daa54bdd9f2fb421e2.png)
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解题方法
【推荐1】已知偶函数
在区间
上是减函数,证明
在区间
上是增函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44f5e73c21180a083627927f4808010.png)
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【推荐2】设
为实数,
.
(1)证明:不论
为何实数,f(x)均为增函数;
(2)试确定
的值,使f(-x)+ f(x)=0成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a456f1726d86805aa4bb032e613ed4.png)
(1)证明:不论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)试确定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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