已知不等式
的解集是
,函数
的定义域是
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14cc07c1a21d53a3dcf10de8c72ca489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ae9661065b211272bf4ed743192569a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
更新时间:2021-01-22 13:05:36
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真题
【推荐2】设A表示有理数的集合,B表示无理数的集合,即设
{有理数},
{无理数},试写出:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
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【推荐3】已知
,
,其中
.
(1)当
时,求
和
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05d5ea56a82b20c982348281c4293883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5ae6759a0c1a568985e48cade1dc60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
【推荐1】求下列函数的定义域.
(1)y=2+
;
(2)y=
;
(3)y=
;
(4)y=
;
(1)y=2+
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5792f01ea6b24cce076cd6d3c6fcb020.png)
(2)y=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42141111f5f62817ae8ea902edfd6617.png)
(3)y=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff9f0f103d77e4cc09d84a0e428e6b2c.png)
(4)y=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2799b445caa285a27378316c300f99a7.png)
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【推荐2】已知函数
其中
.
(1)求函数
的定义域.
(2)用定义法证明:函数
在
上为增函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dbeee5e8b0a8acaac228a3ba430187a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)用定义法证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac9fcbcbb3e2d9db45c1399d345cd46.png)
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解题方法
【推荐2】在①
是
的充分不必要条件;②
;③
这三个条件中任选一个,补充到本题第(2)问的横线处,求解下列问题.问题:已知集合
,集合
.
(1)当
时,求
;
(2)若______,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b62d2d7de0687d5541944d431abccf87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe81c68476c560313bde5dfa0343b02.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若______,求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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