1 . 某校教师进行体格检查,测得他们的收缩压(血压,单位:毫米汞柱)的值如下表所示:
求该校教师收缩压的平均数和中位数.(用各收缩压范围的中点的值代表该范围的取值,结果精确到0.1)
收缩压范围 | 89.5~104.4 | 104.5~119.4 | 119.5~134.4 | 134.5~149.4 | 149.5~164.4 | 164.5~179.4 |
人数 | 24 | 62 | 72 | 26 | 12 | 4 |
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名校
解题方法
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a296c144fc9626f81ae59d6dc1d6a80.png)
的图像;
(2)求
;
(3)求方程
的解集,并说明当整数
在何范围时,
.有且仅有一解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a296c144fc9626f81ae59d6dc1d6a80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/981db5e1425f4510580273488f6e1fd0.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/549f9c4a708ba21ecadd712e2df626a4.png)
(3)求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b7bff9b2431134f7683a9cc4e68acd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb291880ef86317d079c0e0b349403e5.png)
您最近一年使用:0次
2023-12-09更新
|
180次组卷
|
6卷引用:黑龙江省齐齐哈尔市克东县第一中学2023-2024学年高一上学期12月月考数学试卷
3 . 对于实数
,
的不同取值,求关于
的方程
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a951f2a78ac3870b285128055f091e99.png)
您最近一年使用:0次
4 . 某社区要建一个矩形活动场所(如图),其中
为矩形,
为正方形,若场所周长为360米,设
米,场所面积为
平方米,
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/8/b01cdf78-9232-477a-8b56-f527ee228068.png?resizew=164)
(1)写出
关于
的函数关系式,并指出
的取值范围.
(2)求
的最大值及
取得最大值时
的取值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dde327febef2331a4766a79b433cc02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6240d4cf0fb44aa1e6bdaf2a4bdfb37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7a3d679b4dae63575903387a76ce45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/8/b01cdf78-9232-477a-8b56-f527ee228068.png?resizew=164)
(1)写出
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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名校
解题方法
5 . 求范围和图象:
(1)
的函数图象先向左平移
个单位, 然后横坐标变为原来的
,得到
的图象,求
在
上的取值范围.
(2)如图所示, 请用“五点法”列表,并画出函数
一个周期的图象.
![](https://img.xkw.com/dksih/QBM/2022/3/14/2927732832747520/2937564027559936/STEM/69418aa885c148baad8dd40f0ed7084e.png?resizew=297)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3162d2c7b650bba3e401ffbb1e13bb45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f457df0f9d14437a7f0443bb297e6ee8.png)
(2)如图所示, 请用“五点法”列表,并画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c3d302e263382a01339fa43fece182.png)
![](https://img.xkw.com/dksih/QBM/2022/3/14/2927732832747520/2937564027559936/STEM/69418aa885c148baad8dd40f0ed7084e.png?resizew=297)
![](https://img.xkw.com/dksih/QBM/2022/3/14/2927732832747520/2937564027559936/STEM/c7574a95-f8a7-44e7-a7fd-3fb3a5f67026.png?resizew=376)
您最近一年使用:0次
2022-03-16更新
|
758次组卷
|
3卷引用:浙江省杭州第二中学2021-2022学年高一上学期期中数学试题
2022高一·全国·专题练习
6 . 新定义:若一元一次方程的解在一元一次不等式组解集范围内,则称该一元一次方程为该不等式组的“相依方程”,例如:方程
的解为
,而不等式组
的解集为
,不难发现
在
的范围内,所以方程
是不等式组
的“相依方程”.
(1)在方程①
;②
;③
中,不等式组
的“相依方程”是 ;(填序号)
(2)若关于x的方程
是不等式组
的“相依方程”,求k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb8e4bbc9f6c98374f360c90f4cc8940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3788cfd95beef71f146c508fbc387cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef8634d2d5a531ebffd843f50644b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef8634d2d5a531ebffd843f50644b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb8e4bbc9f6c98374f360c90f4cc8940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3788cfd95beef71f146c508fbc387cc.png)
(1)在方程①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/815650356afb1f42207c27d3b11635f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce0d12723a479d03bcdcf36b61dc9ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08863eecc79e481b27b550ee9f89d54f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5848b00576e5e657ce3ef889f117d04d.png)
(2)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b3493fcf2f0b76dfc7249a24c5556f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057ee5107a86fd287a33f5a5b706163d.png)
您最近一年使用:0次