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)
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2023-12-13更新
|
1286次组卷
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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
解题方法
2 . 已知函数
的值域为
,则常数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d1198817f49462cdbc12c5ed32f882a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a8d7032a512f70f4cf4e1712ed8ba8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
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名校
3 . 已知函数
,
,与函数
,
,对任意
,总存在
,使得
成立,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed00e8e04ac40052164fc5b48a215800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dec7de165716232948085168214f61d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35857364af11309d1a72e519e487818b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d58567d3cb3137e68b7ff1671cd8433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b8c9b03faad00868b6f8d71fb3d508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aeba63723705acec72123273614142e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
4 . 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
5 . 已知
,若函数
的值域为
,则实数a的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e94ed2155a2c647e77782ef303187a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a93ecf89efaf51bd2e519c05ef9fdf70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f82d757c6d430d637bb924c7eaf04d6.png)
您最近一年使用:0次
名校
解题方法
6 . 定义区间
以长度均为
,已知不等式
的解集为
.
(1)求
的长度;
(2)函数
的定义域与值域都是
,求区间
的最大长度;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/793a26c8c890bb787f5ad7e8a08956c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/412ee05800715ccb5afd95bb1be4e713.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1715a8317b8ed966b9a8454e12ef272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/799df70ef6a565718e015318bb3b791b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
您最近一年使用:0次
名校
解题方法
7 . 已知
,函数
的最大值为
,则实数
的值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9c84890ba1d6bfd9021259035b7c01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
8 . 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
9 . 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
解题方法
10 . 若函数
的值域为
,则
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f972ba7f62089422f017748249fa2ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead3fdcb8fe8f5eb3dbe7d96cabc28b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次