23-24高一上·上海浦东新·期末
名校
1 . 已知函数
,在
时最大值为2,最小值为1.设
.
(1)求实数
,
的值;
(2)若存在
,使得不等式
成立,求实数
的取值范围;
(3)若关于
的方程
有四个不同的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac05b2072ad22aa1847ea933e966142f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53224898de85a85058ad336490bbbaa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba94b35258a2fbde34d7e26be524fb6e.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f0ca536621ec8db02707ba65917029.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba6661e9a329431403d0051103de1fdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbd397b26a0bddcd4c26b01f065abf81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-01-20更新
|
490次组卷
|
3卷引用:上海市浦东新区华东师范大学第二附属中学2023-2024学年高一上学期期末质量检测数学试卷
(已下线)上海市浦东新区华东师范大学第二附属中学2023-2024学年高一上学期期末质量检测数学试卷湖北省部分学校2023-2024学年高一上学期期末数学试题河北省保定市第一中学第八届1+3贯通班2023-2024学年高一下学期期中考试数学试卷
解题方法
2 . 已知函数
.
(1)若
的最大值为0,求实数a的值;
(2)设
在区间
上的最大值为
,求
的表达式;
(3)令
,若
在区间
上的最小值为1,求正实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b34bc2ead0e6f28d20b6fbdf6251c0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5432187d1c042787433b7633292d00fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a239d924a26dbc7f33052c63a20a327a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a239d924a26dbc7f33052c63a20a327a.png)
(3)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42c1005ca9f161291080f428a2f18f56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
您最近一年使用:0次
2024-01-14更新
|
397次组卷
|
2卷引用:上海市同济大学第二附属中学2023-2024学年高一上学期末考试数学试卷
名校
3 . 已知
,设
.
(1)若
,求函数
的值域;
(2)已知
,若函数
的最大值为
,求
的值;
(3)已知
,若存在两个不同的正实数
、
,使得当函数
的定义域为
时,其值域为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36b234ba460321e811de1729eadd4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/393e0a54bb331abeb11ee255d8893e49.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a882037b9ce104ecc496e0f31a139361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a4eaa80b44625890339d6a0065c241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ffbb4e6b92463a41bd9460dac6b1ca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa8eab196a1ff9f62106c5c98083493.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
,在
时最大值为1,最小值为0.设
.
(1)求实数
的值;
(2)若存在
,使得不等式
成立,求实数
的取值范围;
(3)若关于
的方程
有四个不同的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ae5f881755852ebb0562a63b544775.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea3029a39fe6d67da0c12f68fd19e155.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba6661e9a329431403d0051103de1fdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb8f847e5fe090259fcc26fbd4bdb61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-12-07更新
|
877次组卷
|
3卷引用:上海市浦东新区华东师范大学第二附属中学2023-2024学年高一上学期期末质量检测数学试卷
(已下线)上海市浦东新区华东师范大学第二附属中学2023-2024学年高一上学期期末质量检测数学试卷内蒙古自治区赤峰市赤峰四中2023-2024学年高一上学期12月月考数学试题天津市武清区杨村第一中学2023-2024学年高一上学期第三次阶段检测数学试题
名校
解题方法
5 . 已知函数
,若存在直线
,使不等式
对
恒成立,则称
与
构成了一个“函数通道”.若
与
构成了一个“函数通道”,则实数
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc01889903f4a9491e14bff8f0a4920.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb9f62c53fafe4fabe0d9a3e2feaae9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/017701b881f3741faf2ebcdcdfb4f718.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/333913be5e725e1eb660906b95e25569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43ff553e4e3cd9b7ec5173603dea4170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbca6230193596b2cbdbbbe022fc574a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/244d26cadddad89966ca3f730cf744ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77f430cae1082cb5485d6adf7bfbad83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
解题方法
6 . 设
,
,若函数
在定义域上满足:①是非奇非偶函数;②既不是增函数也不是减函数;③有最大值,则实数a的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82d1fd7ddb26de95a35c5f08a4c7fadf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f07f236fc51b9b276121ca027cf268f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
您最近一年使用:0次
2023-03-10更新
|
286次组卷
|
2卷引用:上海市金山区2022-2023学年高一上学期期末数学试题
名校
7 . 已知
.
(1)当
时,作出函数
的图象,若关于
的方程
有四个解,直接写出
的取值范围;
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/13/7cfc8110-860d-4496-adc5-71e37fd917f8.png?resizew=254)
(2)若
的定义域和值域均为
,求实数
的值;
(3)若
是
上的严格减函数,且对任意的
,总有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fedb9f8c025aad14fe3ced6261c55201.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d300a3a6d3270bccac16b34fd7a3cb5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ffd05445e62cf6352e48d073fac779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/13/7cfc8110-860d-4496-adc5-71e37fd917f8.png?resizew=254)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af908bca1b10f5de7e2d8979989c806.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c36c3781d5caf82f3749cd503d23ad6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e89d95a693887deb8360fb14754e1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/117a78fda0aeb444f00007d5e7c47c7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
8 . 已知函数
在
时有最大值
和最小值
,设
.
(1)求实数
,
的值;
(2)若不等式
在
上恒成立,求实数
的取值范围;
(3)若关于
的方程
有三个不同的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e36b172dbe5b546f7133496a6a5449.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998485ffeb46a0412ff1a0f814429257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab409bb25958c2f01c73e26042c6f51e.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a9ee90f86f252dd48868d94f4c564a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f1279d1afe86edd9a61fde66cbec01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e17ea68cdd6b0ad3e27c099ef33ce3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-01-29更新
|
568次组卷
|
2卷引用:上海市华东师范大学松江实验高级中学2022-2023学年高一上学期期末数学试题
9 . 已知函数
严格单调,且
的最大值为8,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/270cdbf6af3d500e80d29c39c7f14e8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
名校
解题方法
10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e19a66f0c327344f7c44b8eb34793020.png)
(1)函数在区间
上为严格减函数,求
的取值范围;
(2)函数在区间
上的最大值为3,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e19a66f0c327344f7c44b8eb34793020.png)
(1)函数在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)函数在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次