证明函数
在
上是奇函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3ae88d32fe99a07a255488b02224ce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
20-21高一·江苏·课后作业 查看更多[3]
更新时间:2021-10-31 21:29:14
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【知识点】 函数奇偶性的定义与判断解读
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(0.94)
【推荐1】判断下列函数的奇偶性:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2324ef92f0ace435b3d9e7b1f832c0be.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/968bb07d6bc275ecde21063030d78f8c.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca3fd09aa6bd2c73f713869a28e38e30.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35686f4661a06a11222b81e3b507295c.png)
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解题方法
【推荐2】若函数
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3bc8293702dddf011492b37993074d.png)
(1)求函数
的解析式;
(2)若函数
,试判断
的奇偶性,并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3bc8293702dddf011492b37993074d.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8e1b58c97e868b8bb6950d58efe7f3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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(0.94)
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【推荐3】已知函数
.
(1)若
,判断
的奇偶性并加以证明;
(2)当
时,用定义法证明函数
在
上单调递增;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad59370ae85d812ab7e3421c9808b2f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa9396a737848eedcb56625b2cda4671.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
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