名校
1 . 已知集合A是函数
(
且
)的定义域,集合B和集合C分别是函数
的定义域和值域.
(1)求集合A,B,C;
(2)若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29b86989d207070124c60c8c618d4b08.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/259219bcccbb39f795786d3b9fcfdaa9.png)
(1)求集合A,B,C;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1044cd14484db33772a038bdd4fe3373.png)
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2021-01-09更新
|
132次组卷
|
2卷引用:江苏省苏州市常熟中学2020-2021学年高一上学期12月月考数学试题
名校
2 . 已知集合
,函数
的定义域为B.
(1)求
;
(2)已知集合
,若
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0670a822e569e36d25a4fd15d69e1ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/959363e9e4ddf43b63e25cdb9b24bd76.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/929a128612f5817ce00a5784931584d2.png)
(2)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae42d35f2787b85190834e2515a3dc39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29cd450d0feaea9acb27a60430f4a3c.png)
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2021-01-09更新
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154次组卷
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2卷引用:河南省郑州市第一中学2020-2021学年高一上学期12月月考数学试题
20-21高一·江苏·课后作业
3 . 求下列各式x的取值范围.
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc96991cc2ef175fb48431ef6f0bee56.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d82578b718133272a70d7b417e36a08.png)
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4 . 已知函数
,
,(
且
)
(1)求函数
的定义域;
(2)判断函数
的奇偶性,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77339e6eaae4f6428922b7d6bd8d0b48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926e8fdce78fbe7647949ef78a8fe243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/138472ac217ce3f838b18ce39b39b869.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/138472ac217ce3f838b18ce39b39b869.png)
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2021-01-06更新
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98次组卷
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2卷引用:甘肃省天水市第一中学2020-2021学年高一上学期第二学段考试数学试题
名校
解题方法
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6577db3b86ec49e6ba8956b7b35af0f1.png)
(1)求函数
的定义域;
(2)若不等式
的解集为
,求
时,
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6577db3b86ec49e6ba8956b7b35af0f1.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b99eee8134fce76d13c0703fba58672.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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6 . (1)求函数
的定义域;
(2)用定义法证明
是(-∞,-3)上的减函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fecb486437ce9eb440f27ee740a504b4.png)
(2)用定义法证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec26a883dd831a7b3447d5467c5c4762.png)
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2021-01-04更新
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263次组卷
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4卷引用:重庆市部分学校2020-2021学年高一上学期12月联考数学试题
名校
7 . 设
,且
.
(1)求
的值及
的定义域;
(2)求
在区间
上的最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb143318f22ac1278a32abca7855ece.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91288f3376f00e3e4e37376c14f5c81d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69334eb9a65544047760a33ecb73cf95.png)
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解题方法
8 . 已知函数
的定义域为集合A,函数
的值域为集合
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b43f304a46f588647ca7acb865289bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5598242dc76a23fd6d185c291027455d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ceb1f338fa60976229d7ec6531b626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
9 . 函数
是在x=0处有定义的奇函数
(1)求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求
的定义域
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8a0b8cc42edd3156dda7d8171db0c8a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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名校
10 . 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)
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