1 . 向体积相同且高为
的花瓶中,注水注满为止.如果注水量
与水深
的函数关系式如图所示,那么花瓶的形状是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/4/dc80c710-61f1-4c42-9968-b46339a66678.png?resizew=119)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知函数
的对应关系如下表所示,函数
的图象如图所示,则
的值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/4/fa8cec78-154b-4906-a14f-4127a7fb6bdc.png?resizew=136)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/387b802d2135595c8dabd452b7fe6627.png)
![]() | 0 | 3 | 6 |
![]() | 3 | 0 | 6 |
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/4/fa8cec78-154b-4906-a14f-4127a7fb6bdc.png?resizew=136)
A.9 | B.6 | C.3 | D.0 |
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3 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeef73836f073b0823be5a5864ea3f5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91c973c13200f9a7b7662dce27879918.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 下列函数中,既是奇函数又在区间
上单调递增的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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5 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bdd983131748f0347265840df129eaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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6 . 已知函数
,
.
(1)当
时,若
,求
的值域
(2)若
有两个零点,分别为
,
,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6cb871876b5610a873b55d7b4ddfee9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97ab84192e12bb292bc9fbd0b29fbee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b058f0a0ccb1440f02717234fda5664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
7 . 已知函数
,则
的定义域为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f047cf3784255bd2ac178dbb2207fc63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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名校
解题方法
8 . 已知,
,
,则( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-11-13更新
|
577次组卷
|
5卷引用:北京市通州区2024届高三上学期期中质量检测数学试题
解题方法
9 . 设函数
,函数
,用
表示
中的较大者,记为
,再从条件(1)、条件(2)这两个条件中选择一个作为已知.
条件(1):![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee2bcf680e1f04717cc95585c90bb14e.png)
条件(2):
恒成立.
(1)求不等式
的解集;
(2)当
时,关于
的不等式
恒成立,求实数
的取值范围;注:如果选择多个符合要求的条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7103dbe2793b84956482fd96243c8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/108f59e071b2c03adaf0803d4163e1b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3859cd3de4d6d485df050b0f5321d6c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c065dc2782f5e5a662df2ea357b9c31.png)
条件(1):
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee2bcf680e1f04717cc95585c90bb14e.png)
条件(2):
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6572d3c3a8e37c7dccfb7ddfcdc90faf.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4acda6b6464db27e1ec18a1522406d2.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66ef59c3970f3581a5ea29e21fd564d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b53743d4a8f6a6be516b3c3096dcb01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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10 . 刚刚结束的2023年杭州亚运会给人们留下了深刻印象,也带火了很多杭州特色产品.某小组通过对一款杭州特产龙井茶的某官网销售情况的调查发现:该商品在过去30天内,销售单价
(单位:百元)与时间
(单位:天)的函数关系近似满足
(
为常数),日销售量
(单位:件)与时间
的部分数据如下表所示:
已知第5天的日销售收入为216百元.
(1)求
的值;
(2)给出以下三种函数模型(1)
;(2)
;(3)
.
请根据上表中的数据,选择你认为最合适的一种函数来描述
与
的变化关系,并求出函数
的解析式;
(3)记该商品在这30天内的日销售收入为
(单位:百元),求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826308511448f7b791edf4199c690768.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478511ec8b4ee48b8968f3b5ee2e8ddf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11a22c453d9041febde25582b463e642.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![]() | 5 | 10 | 15 | 20 | 25 | 30 |
![]() | 180 | 310 | 390 | 420 | 400 | 330 |
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)给出以下三种函数模型(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dfe6b3b070f6ae5e4a87557181a3d8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89d58759be3831f7e41dd38cf71e1abf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9123f7ba69df421e25ca352a4a0e19d4.png)
请根据上表中的数据,选择你认为最合适的一种函数来描述
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11a22c453d9041febde25582b463e642.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11a22c453d9041febde25582b463e642.png)
(3)记该商品在这30天内的日销售收入为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcafc95a0527841c29a58d4f7d85e232.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcafc95a0527841c29a58d4f7d85e232.png)
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