求下列函数的定义域.
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1344145f31c3e97f17ffa87b7b25f3ce.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4638158d55a3654b547ced52ffd044f.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ae357cc2fe73a6fc21f4bcd3cd010b.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b48dfa196832dbff6a93f0dcb434115b.png)
23-24高一上·全国·课后作业 查看更多[2]
人教A版(2019) 必修第一册 数学奇书 第三章 函数的概念与性质 3.1 函数的概念及其表示 3.1.1 函数的概念 第1课时 函数的概念(一)(已下线)第01讲 3.1函数的概念及其表示(1)-【练透核心考点】
更新时间:2023-08-27 21:12:19
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【推荐1】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
的定义域为
,
的定义域为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(2)若全集
,求
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67156a68e3937a0114be1b502e0ab5ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac17fa5dd8a6ea33a5715195c149802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(2)若全集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc3ce5f118c960d410b48f2e2c6fabc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2046f0ac902cd95831421558e671b14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56331cb0282998df87f0ecbbc34681f.png)
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【推荐2】已知函数
.
(1)求
的定义域,并判断函数
的奇偶性;
(2)用定义证明函数
在
上是减函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf60a41953196ba473390f602e0746c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)用定义证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
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【推荐1】已知集合
,集合
.
(1)若
,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2088edf17430443b8be8d510922c5f1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3f5243e478a3ce6e702cedeecafdd1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e9222ffc26c0e6bfbf252ab5d8a520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d3beeba568ca26155f8b7515bb61c21.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐2】(1)解关于
的不等式组:
;
(2)解关于
的不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb40e7fac02ea46c97af84d54ad6a525.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0511fbd6f7563ba3e7acd57482af1f5b.png)
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