名校
解题方法
1 . 已知函数
的值域为
,则实数
的取值范围为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbbd1a4d16b7927d08b92a81ec63692a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-12-13更新
|
1300次组卷
|
7卷引用:上海市青浦区2024届高三上学期期终学业质量调研数学试题
上海市青浦区2024届高三上学期期终学业质量调研数学试题(已下线)专题03 函数(三大类型题)15区新题速递山东省临沂市第十八中学2023-2024学年高一上学期期末模拟数学试题(三)广东省深圳市高级中学2023-2024学年高一上学期期末数学试题(已下线)热点2-2 函数的最值(值域)及应用(8题型+满分技巧+限时检测)四川省绵阳南山中学2023-2024学年高一下学期入学考试数学试题广东省深圳市东北师范大学附属中学深圳学校2023-2024学年高二下学期第一次月考数学试卷
名校
解题方法
2 . 已知函数
的定义域为
,值域为
.若
,则称
为“
型函数”;若
,则称
为“
型函数”.
(1)设
,
,试判断
是“
型函数”还是“
型函数”;
(2)设
,
,若
既是“
型函数”又是“
型函数”,求实数
的值;
(3)设
,
,若
为“
型函数”,求
的取值范围.
![](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/fb185cecf0a22b322a82545bdfcb321c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11e685edd2226794e07c27f60acec2c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80177489d687f891f9f3fc5f8860001d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/616f54a98965940ed871b64e55331a53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af07d272da54872ad5a5d2c8181760af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82c69b465c78a4f15e22ec963e8d6655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b84f0063e7e2829fd6169b06ce05f3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d141acf95bdc962ad042e694243670c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e1a1611f320c0f358df77aaae3f942.png)
您最近一年使用:0次
解题方法
3 . 设函数
满足
,定义域为
,值域为A,若集合
可取得A中所有值,则参数a的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a155cd0407fcad4e663343cecf0283dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f98bc9bb81df5df4766ac2f161e9daa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dfe8e9c30f41531b4f672d8c795d62f.png)
您最近一年使用:0次
名校
4 . 已知定义在
的函数
,满足:
在
上的解析式为
,设
的值域为
.若存在实数
,使得
,则
的可能取值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149244df42e8354b35e4e531c1616ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba79397b194e1ac7f0a49a1aae93e1cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaadeb5390fff49511fd2926ad5d99f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3e489e119a88feb3ba64430c0e0397d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e05bfa6454145dfe4b5e2b96a71001e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-06-11更新
|
514次组卷
|
4卷引用:上海市光明中学2022届高三模拟(一)数学试题
上海市光明中学2022届高三模拟(一)数学试题2022届上海市普通高等学校招生全国统一考试数学模拟试题(一)(已下线)第03讲 函数及其性质- 1(已下线)专题02 函数的概念与性质必考题型分类训练-2
名校
5 . 若关于
的方程
的解集为空集,求实数
的取值范围______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b313a8d731bf3962ed94451cad8d2677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
6 . 定义域均为D的三个函数
,
,
满足条件:对任意
,点
与点
都关于点
对称,则称
是
关于
的“对称函数”.已知函数
,
,
是
关于
的“对称函数“,记
的定义域为D,若对任意
,都存在
,使得
成立,则实数a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db1a75c5fa4bcc70374c9148b3aba398.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f400b879ec1c0ae07f984090c6cb2c76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe7522a3f232bd0b7a7850ae674db43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/799353650585f2f39ae53eedb3fb5bc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7ffcce2fd86e10befc44f6749ab627.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699d290531c6b16069f877133be797cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd0fe883569bbe8070ef231b3596b60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f79e027a1173b580e48bef7e19100eb.png)
A..![]() | B..![]() | C..![]() | D..![]() |
您最近一年使用:0次
名校
7 . 已知函数
的值域是
,有下列结论:①当
时,
; ②当
时,
;③当
时,
; ④当
时,
.其中结论正确的所有的序号是.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2a5e465b26277dcf12283984fc753fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/122770c2b2fef10ec927955e21fd7288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfd09fb9482124fd35f19b86894648f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22fc6afa29b5cb55544ea44e78172ee8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/935b4035585dfe624ebdd0c758c6ea89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c4e6fb9df362686c043d580a5daf79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c18308627e95f5d06828307a50906c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af82c43d67676367b59aecc57f18c5b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c18308627e95f5d06828307a50906c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1040021ca7e2d98c2948c5d7060b672e.png)
A.①② | B.③④ | C.②③ | D.②④ |
您最近一年使用:0次
2020-01-07更新
|
339次组卷
|
4卷引用:2018届上海市闵行区高三一模数学试题
名校
8 . 已知函数
(a>0),若对任意x1∈[0,2],总存在x2∈[0,2].使g(x1)=f(x2)成立,则实数a的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c354a3dbeee9b86cf4f4bba2f331aaf6.png)
您最近一年使用:0次
2020-01-15更新
|
659次组卷
|
3卷引用:2017年上海市七宝中学高考模拟数学试题
名校
9 . 对于函数
,若存在定义域
内某个区间
,使得
在
上的值域也是
,则称函数
在定义域
上封闭.如果函数
在
上封闭,那么实数
的取值范围是______ .
![](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/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](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/bc7e97705c3075689af32ef2b0f36a9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2019-12-10更新
|
696次组卷
|
5卷引用:2016届上海市嘉定区高考一模(理科)数学试题
2016届上海市嘉定区高考一模(理科)数学试题上海市上海中学2016-2017学年高一上学期期末数学试题上海市嘉定区2016届高三上学期第一次质量调研(理)数学试题(已下线)专题03 函数及其表示方法-2022年高考数学一轮复习小题多维练(新高考版)(已下线)专题07 函数的单调性及最值压轴题-【常考压轴题】
名校
10 . 设单调函数
的定义域为
,值域为
,如果单调函数
使得函数
的值域也是
,则称函数
是函数
的一个“保值域函数”.已知定义域为
的函数
,函数
与
互为反函数,且
是
的一个“保值域函数”,
是
的一个“保值域函数”,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b8e0ebd528f25e15d6b5836502179e.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c4d45cb4978b543ae6a3ac9bf91f409.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/d4693db4218487384cf3ea8bc62d7c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ab61d1a0ef1492d82c37ff5c41e98f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4693db4218487384cf3ea8bc62d7c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c4d45cb4978b543ae6a3ac9bf91f409.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a182525b68bcb48a49ca2230e86c061e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b8e0ebd528f25e15d6b5836502179e.png)
您最近一年使用:0次
2018-09-03更新
|
577次组卷
|
6卷引用:2017届上海市徐汇区高三下学期二模数学试卷
2017届上海市徐汇区高三下学期二模数学试卷上海市高桥中学2020届上学期高三开学考数学试题上海市七宝中学2017-2018学年高一下学期开学考试数学试题上海市向明中学2017-2018学年高三上学期期中数学试题(已下线)2019年一轮复习讲练测【新课标版理】专题2.2 函数的定义域、值域式(练)(已下线)2019年一轮复习讲练测【新课标版文】专题2.2 函数的定义域、值域式(练)