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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0e825de4e5ade72e45a28c8f75b1dea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f9e1552444fbc30930ef2ed10f27fa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26b7ae538fb09ced18c424dbdc5f030b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe1b8c7a89ad9fa420eff1cda36e5558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/cb28a543-7aba-4473-af3d-ef9922c5cda4.png?resizew=233)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-23更新
|
19次组卷
|
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
2 . 如图所示,在四边形
中,
,
,在
、
分别找一个点
、
,使
的周长最小,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1939f6a87228b730a32d996014ff3bd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73684ef04ef67bc31f52fb5f841a6423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98013a5042685a1db94249e70c62c09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c79a7ef38e3119d1f151deadf617ec94.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/b34ab214-6fef-4b6d-8ba3-4a222021fc51.png?resizew=141)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
3 . 小明在练习操控航拍无人机,该型号无人机在上升和下落时的速度相同,设无人机的飞行高度为
(米),小明操控无人飞机的时间为
(分),
与
之间的函数图象如图所示. 以下结论:①无人机从40米上升到60米用时1分钟;②无人机在40米的高度上飞行了3分钟;③无人机距地面的高度为50米时
的值为5.5;④无人机从60米的高度返回地面用时3分钟.其中结论正确的个数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/41b418e3-b947-47fc-8ab3-3fc4eb049bbd.png?resizew=171)
![](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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/41b418e3-b947-47fc-8ab3-3fc4eb049bbd.png?resizew=171)
A.4 | B.3 | C.2 | D.1 |
您最近一年使用:0次
4 . 如图,
中,
,
,
绕点
逆时针旋转
得到
,
与
,
分别交于点
,
.设
,
的面积为
,则
与
的函数图象大致( )
![](https://img.xkw.com/dksih/QBM/2024/2/4/3425681623695360/3426131836395520/STEM/ba782348dd56404a8e0d4de225cb4db9.png?resizew=136)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3e9ef3e849788645552cfb0735d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0769bbeb13bd66ee39f530417be0f92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2eb0de024a6f3f65e94e87f2dce80c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c021993da445858448d368df42554c8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e737bc35da650eda3825d29799b5f86f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1613815aa66f130f02405617022548be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff58d298aecfc45f81c62bb4e70a768.png)
![](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)
![](https://img.xkw.com/dksih/QBM/2024/2/4/3425681623695360/3426131836395520/STEM/ba782348dd56404a8e0d4de225cb4db9.png?resizew=136)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
5 . 已知
是
的直径,
是
上一点且
,
是弧
的中点,
,
,垂足分别是
.下列结论:①
;②
;③
四点在同一个圆上;④
,其中结论正确的个数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/66011999-d373-4672-8349-cbe2a0312b77.png?resizew=155)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15301873a51b67db462f4d78b8bffc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4611ceb2a28f7a7e4d24266d7f99b22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1ff7bf8ffc8a04186e3e13c1a6d5ced.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf857e03d4320c999d328fd657c2d412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f4a6920a0dc269d5d1781e87fe84f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9958e740f5475010ef2dc6ba71cb75e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b41b4cccc4ae6b5c1aef8e9b9d717cfc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/66011999-d373-4672-8349-cbe2a0312b77.png?resizew=155)
A.4 | B.3 | C.2 | D.1 |
您最近一年使用:0次
6 . 如图,
和
都是边长为2的等边三角形,它们的边BC,EF在同一条直线l上,点C,E重合.现将
沿直线l向右移动,直至点B与F重合时停止移动.在此过程中,设点C移动的距离为x,
为y,则下列结论:
①y始终随x的增大而减小;
②y的最小值为3;
③函数y的图象关于直线
对称;
④当x取不同的数值时,y也取不同的数值.
其中,正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acaca5b9663c6ef657b38830bd07fad5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/6564a602-9da0-44d2-acb5-d18098c4a2c5.png?resizew=218)
①y始终随x的增大而减小;
②y的最小值为3;
③函数y的图象关于直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
④当x取不同的数值时,y也取不同的数值.
其中,正确的是( )
A.①② | B.①④ | C.②③ | D.② |
您最近一年使用:0次
7 . 《九章算术》是中国传统数学最重要的著作,奠定了中国传统数学的基本框架.它的代数成就主要包括开方术、正负术和方程术,其中方程术是其最高的代数成就.《九章算术》中有这样一个问题:“今有善行者行一百步,不善行者行六十步.今不善行者先行一百步,善行者追之,问几何步及之?”译文:“相同时间内,走路快的人走100步,走路慢的人只走60步.若走路慢的人先走100步,走路快的人要走多少步才能追上?”设走路快的人要走
步才能追上,根据题意可列出的方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
8 . 已知
是边长为1的等腰直角三角形,以
的斜边AC为直角边,画第一个等腰
,再以
的斜边AD为直角边,画第二个等腰
,…,依此类推,则画出的第2023个等腰直角三角形的面积是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/c57e36dc-6e9f-4d96-96d6-72e0daa8b04d.jpg?resizew=152)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ce5d6ca24e249f7172e51c154509b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ce5d6ca24e249f7172e51c154509b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e7ba6e267dde1a65a98f9f36b585ce.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/c57e36dc-6e9f-4d96-96d6-72e0daa8b04d.jpg?resizew=152)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
9 . 如下图所示,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172b54d5833f597087dd240fcc4e5b95.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/28/c55cf609-088b-4e6f-bd26-0d97c1177960.png?resizew=161)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
10 . 勾股定理是人类耻伟大的科学发现之一,在我国古算书《周髀算经》中早有记载.如图1,在
中,
,以
的各边为边分别向外作正方形,再将较小的两个正方形按图2所示放置,连结MG,DC.若
,且
,则AB的长为()
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/28/1531a296-a9e9-42b0-8ce8-3e9ea944a005.png?resizew=293)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea86458ea28ef2799c6be99181a2c62e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00db6c68c62d042f63660b6139e856bf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/28/1531a296-a9e9-42b0-8ce8-3e9ea944a005.png?resizew=293)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次