已知集合
,函数
的定义域为
.
(1)求
;
(2)已知集合
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0670a822e569e36d25a4fd15d69e1ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ac19774a8dbc4056ab91ec60af293e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/126fdf5a6e9b2d7c23d57798318da453.png)
(2)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae42d35f2787b85190834e2515a3dc39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29cd450d0feaea9acb27a60430f4a3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
更新时间:2020-12-31 22:23:38
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【推荐1】已知集合
.
(1)求
;
(2)求
;
(3)如果
,且
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/543136d0ded88566008366cee5195208.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6aa5051711f5df6206fea538f2bdf61.png)
(3)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e00900e16eea2c09bb41bb078fad86cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/959f3c514abb15185a429e1b2f1674e5.png)
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【推荐2】已知集合
,
.
(1)求
;
(2)求
;
(3)定义
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34b698dd6977b97fc4e4a2eac12a766b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/474e5435ef924a3589f62506ba81af4d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/126fdf5a6e9b2d7c23d57798318da453.png)
(3)定义
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41c4340086df355ae6f6b932161951d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9e460c144f7a2141d2df0308b125f2.png)
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【推荐1】设全集为
,
,
.
(Ⅰ)求
及
;
(Ⅱ)若集合
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a3c76b8e96aff6218fed8dd62a73a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdaccb804953008fa700ca1d563db1df.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c9520bbe054b90a816abb58695e89b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31333463f002b68938ee903c9dfbe125.png)
(Ⅱ)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d35ca9a2b2be9a28e46f7cba15bdfaf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2bed4f3b7d72db3b022165360678e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐2】已知全集
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db530c89d2a3392872a47595f479554d.png)
(1)用列举法写出集合
,
,
;
(2)若
,求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b61992194f2e4d627e132b496330ea15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91c2449b67eaa3041f1a41aafb95620c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db530c89d2a3392872a47595f479554d.png)
(1)用列举法写出集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b01e6f87f7611a1c2d7dee1f1fa3afda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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【推荐1】已知函数
,其中
且
.
(1)求函数
的定义域,并证明函数
是偶函数;
(2)若幂函数
的图象过点
,求使
成立的
的集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11c2e4eb449610e0647c1886b4b27fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060e7930731eddbcfac592b808e9b698.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若幂函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da668452bf94a7df60422815ae3b3d07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f21c7162941d2b54ebafb1795599195.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2e0bb6d63b7bcaee92a470d58cc399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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【推荐2】在①
②
③
这三个条件中任选一个,补充在下面的横线上,并回答下列问题.
设全集
,______,
.
(1)当
时,求
,
;
(2)若“
”是“
”的充分不必要条件,求实数a的取值范围.
注:如果选择多个条件解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098e85fa76d568772a842fddd41219fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/116da22f2601fb9b036318eb8da860e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c2deb6c0c429a9ef5d7c2be2baac765.png)
设全集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd402c7113589f06fe58bd242227adfb.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be7026b721caf58b61b1daac10d7db2b.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
注:如果选择多个条件解答,按第一个解答计分.
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【推荐1】某化工厂在进行生产的过程中由于机器故障导致某种试剂含量超标,已知该试剂超标后会产生一种有毒气体,在疏散工人,处理好超标试剂后,工厂启动应急系统进行处理,已知工厂内部有毒气体的浓度
与应急系统处理时间t(小时)之间存在函数关系
(其中
),且应急系统处理2小时后,有毒气体的浓度为162ppm,继续处理,再过6小时后,有毒气体的浓度为48ppm.
(1)求a,λ的值;
(2)当有毒气体的浓度降低到
以下(含
)时,工厂能够正常运行,假设从启动应急系统开始经过t小时后,工厂能够恢复正常生产,求t的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39fcaebb6a481689773b4cc6e48454e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba814760754707b2e2226a3bc1aac42a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9b89ba45096542663b5b9bef79cb47e.png)
(1)求a,λ的值;
(2)当有毒气体的浓度降低到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a73d00c70f8fefb59b9074829881c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a73d00c70f8fefb59b9074829881c5.png)
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【推荐2】设集合
,
,
.
(1)当
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78761594b2064765671a554c00cb25cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18e868cc8a0e3963e3e028e4dfee975a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.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/0a6936d370d6a238a608ca56f87198de.png)
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