写出一个具有性质①②③的函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
______ .
①
定义域为
;②
在
单调递增;③
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/862c700233ca17ff8effa813031a0f00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2edd8edcb21bd41584daf9bb95a5c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69f47e3644a35dbd116380bf0aaab18d.png)
21-22高一上·辽宁丹东·期末 查看更多[4]
辽宁省丹东市2021-2022学年高一上学期期末数学试题(已下线)专题20 幂函数(3)(已下线)6.1 幂函数(2)(已下线)第15讲 幂函数及其性质5种题型-【同步题型讲义】(人教A版2019必修第一册)
更新时间:2022-02-13 17:34:28
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【推荐1】本题共10小题,对每小题的命题作出判断,对的选A,错的选B.
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfe0a68684131cc2bb88b21c2751978.png)
____________ (AB)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a46fb3723e2751e82ba73f562ed008.png)
____________ (AB)
(3)
是
是偶函数”的充要条件.____________ (AB)
(4)已知集合
,
,则
.____________ (AB)
(5)若函数
(
且
)则
一定过点
.____________ (AB)
(6)若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c22b9d08cf536bbb76bce1b0f135772.png)
____________ (AB)
(7)设函数
,
,则
的最大值是3____________ (AB)
(8)幂函数
的图像经过点
,则
.____________ (AB)
(9)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f7215a6789fdd3eaa30e4a5cfbde893.png)
____________ (AB)
(10)若
在
上是奇函数,且
,则
.____________ (AB)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfe0a68684131cc2bb88b21c2751978.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a46fb3723e2751e82ba73f562ed008.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a2d7c67748749a033294d20ec56360.png)
(4)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/575b11561924cb2f9b7d48e4868073e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e191ffe5a6a0e3f52ced361999bfe25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/addfdccaf2776d963ce20f2130a2c0a1.png)
(5)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b2a9d796da70b483e6861f34c85a79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75432fa291156c8694512646e3e806ce.png)
(6)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c22b9d08cf536bbb76bce1b0f135772.png)
(7)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/620fff76456e4080c41c51661171c66f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66ef59c3970f3581a5ea29e21fd564d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(8)幂函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7362fa526a84b0ce2f5a2021dbc44399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd988a227f0bf3744b361558acc4ea8b.png)
(9)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f7215a6789fdd3eaa30e4a5cfbde893.png)
(10)若
![](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/433c0485016e432e289f055b393128ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b617e01688bde2e36484fe3a6cfedc8.png)
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【推荐2】已知函数
.直接在下表中写出其定义域、值域,指出其在定义域上的单调性、奇偶性,并判断其是否存在零点,若存在零点请写出具体零点(不需要写过程,将答案填在表格中).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b87e78256e9afeb56ef82106e9d895.png)
定义域 | |
值域 | |
单调性 | |
奇偶性 | |
零点 |
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【推荐1】若幂函数
的图象经过点
,则函数
的单调递增区间为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081cd41dab0f2a8f84b0e9f1df4843fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
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【推荐2】已知幂函数
的图象过点(2,
),则
的单调递增区间为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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