名校
1 . 已知函数
.
(1)化简
;
(2)若
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af6b280322c63bd029ac3b814409d1cd.png)
(1)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95484458f2a104d90cdbf6be4e1648d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe91ce727a65ef27026bf67c45b622e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b2ba120fd8b71f004fc910df3e307e1.png)
您最近一年使用:0次
2024-02-12更新
|
904次组卷
|
2卷引用:湖南省株洲市二中教育集团2023-2024学年高一下学期第三次阶段性检测数学试题(A卷)
2 . 定义在
上的幂函数
.
(1)求
的解析式;
(2)已知函数
,若关于
的方程
恰有两个实根
,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d54e0619f9e71eb19b67200b8911c5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e10356029baa6b16051b981471308a2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f596b480c8326c15dbd72898d90c537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c5c654afa70e0fa53240b284d202418.png)
您最近一年使用:0次
名校
解题方法
3 . 为响应“湘商回归,返乡创业”的号召,某企业回永州投资特色农业,为了实现既定销售利润目标,准备制定一个激励销售人员的奖励方案:按销售利润进行奖励,总奖金额
(单位:万元)关于销售利润
(单位:万元)的函数的图象接近如图所示,现有以下三个函数模型供企业选择:①
②
③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/285ee5b1d0dfb228cb04946adc9b9370.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/11/80e1ed15-a7a6-4cb8-a5fa-671617c03dda.png?resizew=161)
(1)请你帮助该企业从中选择一个最合适的函数模型,并说明理由;
(2)根据你在(1)中选择的函数模型,如果总奖金不少于6万元,则至少应完成销售利润多少万元?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81c66a0f1b68d857c6dbeff848d64fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbe739ec5f63443404b5bf934edaf1bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/285ee5b1d0dfb228cb04946adc9b9370.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/11/80e1ed15-a7a6-4cb8-a5fa-671617c03dda.png?resizew=161)
(1)请你帮助该企业从中选择一个最合适的函数模型,并说明理由;
(2)根据你在(1)中选择的函数模型,如果总奖金不少于6万元,则至少应完成销售利润多少万元?
您最近一年使用:0次
2024-02-11更新
|
92次组卷
|
2卷引用:湖南省永州市2023-2024学年高一上学期期末质量监测数学试卷
名校
4 . 已知函数
是偶函数.
(1)求
的值;
(2)设函数
,若不等式
对任意的
恒成立.求实数
的取值范围;
(3)设
,当
为何值时,关于
的方程
有实根?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03ccc88d04a783c702dfac8fc0a446b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a00a33a4791c38fadf562929b2595ce8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0527a896aec4a245945e5edee00deed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4921923069c4f38a0af1ff8637e35b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63afeacfbd60ac052fa91a5cb47d1f40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1752aaf32fa06ca15a3c465ffe5e7c.png)
您最近一年使用:0次
名校
5 . (1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8415e0f7e41019c1a108e0dbaee10bf3.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780bde93d414172792766cec9484c397.png)
您最近一年使用:0次
6 . 已知函数
的最小正周期为
,
(1)求函数
的单调递增区间;
(2)设
,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ec9ac8226798af4650e7f0a201d81c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6d68581a66f9ffbf8c082206eb4458.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81ed7f6a4475e0fa682fa81ee747da3.png)
您最近一年使用:0次
名校
解题方法
7 . 解下列不等式:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6d1e6941c2c0c9f1dc54ba8e4817970.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced9f0737869840fa4618662ede8ece0.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
是定义在R上的奇函数,且当
时,
.(
是以e为底的自然对数,
)
(1)求
的解析式;
(2)若正数m,n满足
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c1ebf490f9eb1d40a4a11cb37fd4b99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4c7d5aee3615cdb65b3dd4e24da7bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11204e2fb6e560bf7a4ca26eaebfc526.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若正数m,n满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caee77d4821d513c99bce6dc2b94b899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46ea0f72ba83ccc556291b5fe6de228e.png)
您最近一年使用:0次
名校
解题方法
9 . 已知函数
是奇函数.
(1)求
的值和函数
在区间
上的值域;
(2)若不等式
对于任意的
上恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94b42a38b47ae296f3c8f3a77201497d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74440ee5b3fe9565f3cb09ac36998096.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14b8554de5184865801439d0d81bed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b12f2ff24c52fded1dfd0f0b6940a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-02-06更新
|
310次组卷
|
2卷引用:湖南省长沙麓山国际实验学校2023-2024学年高二4月学情检测数学试题
解题方法
10 . 已知集合
,
.
(1)当
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/944236e7d6d2f7ef94fb7533b040957b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb476c1048375cb5e03b892597f01490.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b010ba9ba0cbd06dabf18797292203c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次