已知集合
,
.
(1)若
,且
,求
的取值范围;
(2)若
,
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb1339930e233bcfa29b41cb6bc279cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73311626827ef4eb82606a61d1f24509.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d364ffe09abd0f6022147d130c82dccb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7eab1fda82c86708ba08296276887a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f59dcb8a573ce75bf1f8cc01930f660.png)
更新时间:2023-11-08 00:01:38
|
相似题推荐
解答题-问答题
|
较易
(0.85)
名校
解题方法
【推荐1】已知集合
,集合
.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9acf0799c5ba301d5de6c72b53714c8f.png)
(1)求集合
;
(2)若
是
的必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bac01fa2b01a98a6c21602faab41e9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a8b601329b42ae07a480a3a65410f18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9acf0799c5ba301d5de6c72b53714c8f.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
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较易
(0.85)
名校
【推荐2】已知全集为实数
,集合
,
.
(1)分别求
,
;
(2)已知集合
,若
,求实数
的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd5a4fa2bd571eec40c631b8c7eb3f7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d579aa9ad41939139e36dd7508bc4c5d.png)
(1)分别求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/849179608c4c3ce961e790d211f29ee4.png)
(2)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f84413a8e38727c72d73663d2a049e21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c6ca098b764e0366d043b69ae9d8f68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
名校
解题方法
【推荐1】设函数
的定义域为
,值域为
,如果存在函数
,使得函数
的值域仍是
,那么称
是函数
的一个等值域变换.
(1)判断下列函数
是不是函数
的一个等值域变换?说明你的理由;
①
;
②
.
(2)设
的定义域为
,已知
是
的一个等值域变换,且函数
的定义域为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/849f269dd977a61d2bfcc9f4ec30fd32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad604504ac459167dd991432b82416d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/849f269dd977a61d2bfcc9f4ec30fd32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(1)判断下列函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/849f269dd977a61d2bfcc9f4ec30fd32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5615dd50be310c2a16979300eac237.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f17119b8f304116315deb9e40eaceef1.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f45afdf4d717bb03adac6b899c367acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f0a85351d1433071b7e7bd11eaaba85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f1bc1241edc2e58100ad49094d32b38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad604504ac459167dd991432b82416d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0877194ab8760f54c35527177b03ff93.png)
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较易
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解题方法
【推荐2】求函数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be9fdc5f6f6b4986ec45179994d3ff6f.png)
您最近一年使用:0次