1 . 黄金分割比例是由古希腊学者毕达哥拉斯研究发现的,它是指将整体一分为二,较大部分与整体部分的比值等于较小部分与较大部分的比值,其比值等于
(
,称为黄金分割比例),这个比例被公认为是最能引起美感的比例,因此被称为黄金分割.某城市自来水厂需新建一个集混凝、沉淀、消毒、过滤等功能于一体的净水处理池,该处理池的俯视图是矩形
(如图所示),它是由四个小矩形![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b921e0dc739948f67bd9e1dc17e6db89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c98d93d009df7ffea92fdb9c5b0a651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b9f9ec574988fff6a7158f0b122996.png)
组成,为使净水处理池整体设计美观,需使得
.已知
米,
米,则净水处理池的长
的长度大约是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/029d393bb07b7140905b85f550519de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3feb6b6ef4069134061525264fab958a.png)
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2024-02-23更新
|
19次组卷
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2卷引用:中原名校2022年高三上学期第一次精英联赛文科数学试题
名校
解题方法
2 . 如图,有一半径为1的球形灯泡,要为其做一个上窄下宽的圆台形灯罩,要求灯罩对应的圆台的轴截面为球形灯泡对应的大圆的外切等腰梯形,则灯罩的表面积(不含下底面)至少为__________ .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/a928dc54-b6c8-4073-8880-8468ba1e585a.png?resizew=157)
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3卷引用:河南省商丘市部分学校2022-2023学年高中毕业班阶段性测试(三)文科数学试题
名校
3 . 我国西北某地长期土地沙漠化严重,近几年通过各种方法防沙治沙效果显著,两年间沙地面积从
公顷下降为
公顷,则这两年的平均下降率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821b8672d030c240ff230a0174aa7a3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/401dddda7c1cc8d59ad3835ceb8093ca.png)
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5卷引用:河南省安阳市开发区高级中学2022—2023学年高一上学期期中天一大联考数学试题
名校
4 . 设方程
的两根为
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40273096934dae1ce3845b87cd01bf8f.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fdd82e91237b7c26b9f1372a45285b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b12a4eecd249473a831d0ee472470240.png)
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238次组卷
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3卷引用:河南省新乡市2022-2023学年高一选科调研第一次测试数学试题
5 . 如图,在
中,
,分别以点
为圆心,
的长为半径作弧,两弧交于点
,连接
则四边形
的面积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/24/366b8590-f4ad-419f-a1b3-ac0fa8135f36.png?resizew=138)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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6 .
( )
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7 . 如图,在
中,
.边
在
轴上,顶点
的坐标分别为
和
.将正方形
沿
轴向右平移当点
落在
边上时,点
的坐标为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/23/7ec06a16-fa77-4e65-bbd5-6b202ae47401.png?resizew=201)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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8 . 用配方法解一元二次方程
,此方程可变形为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790175972b4d74da08185e3e2317751a.png)
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9 . 若点
在反比例函数
的图像上,则
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6198f207f6dff6d0287080b04656b36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752f80003886f8e6bdcd8e77280450.png)
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10 . 电子文件的大小常用
,
,
,
等作为单位,其中
,
,
,某视频文件的大小约为
,
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1e8babee63bfc889ae5a34632284bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c46c51916d820d220d16e5e0b1e52f25.png)
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