名校
解题方法
1 . 某农业园租用甲公司的
种收割机和乙公司的
种收割机收割某种农作物.已知用9台
种收割机和4台
种收割机合作恰好用1天时间收割完一块
亩的这种作物.现在用1台
种收割机收割一块
亩的这种作物,用1台
种收割机收割另外一块
亩的这种作物.如果两块地收割完毕后它们所用的天数之和最少,则用1台
种收割机收割完
亩这种作物所需的天数为______ ,用1台
种收割机收割完
亩这种作物所需的天数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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名校
解题方法
2 . 如图
中,
,
分别为
,
上的两点,满足
,
,则直线
一定通过
的______ (在重心,垂心,内心,外心中选择一项),若线段
和
相交于点
,那么
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a431c7044c63fc06428d1dcd01d45f94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/111d0ddc5a28986f3bfcbd145aa574e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf66a22ef9eee85270d407cec1dae7e2.png)
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解题方法
3 . 如图所示的数阵由数字1和2构成,将上一行的数字1变成1个2,数字2变成2个1,得到下一行的数据,形成数阵,设
是第
行数字1的个数,
是第
行数字2的个数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d0c134f914b44e181db0154e3be7567.png)
__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/769b2937ed0d97c73ffe527bbf344e4c.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d0c134f914b44e181db0154e3be7567.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/769b2937ed0d97c73ffe527bbf344e4c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/12/2ad58421-da63-4b33-ba6d-7d210ce75142.png?resizew=183)
您最近一年使用:0次
2024-02-12更新
|
151次组卷
|
2卷引用:陕西省西安市莲湖区2023-2024学年高二上学期期末质量监测数学试题
名校
解题方法
4 . 大约在公元222年,赵爽为《周髀算经》一书作序时介绍了“勾股圆方图”,亦称“赵爽弦图”(如图1).某数学兴趣小组类比“赵爽弦图”构造出图2:
为正三角形,
,
,
围成的
也为正三角形.若
为
的中点,①
与
的面积比为___________ ;②设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.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/b9e507d3941363e9dbeac8be35134727.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/6/c1bd98f1-c926-4719-b25c-602039f53dd5.png?resizew=272)
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2023-05-05更新
|
1812次组卷
|
4卷引用:陕西省西安市长安区第一中学2023-2024学年高二上学期假期学情检测(入学考试)数学试题
名校
5 . 如图为大型观览车在直角坐标平面内的示意图.
为观览车的轮轴中心,点
距离地面的高度为
,观览车转轮的半径为
,其逆时针旋转的角速度为
.点
表示观览车上某座椅的初始位置,且
,此时座椅距地面的高度为__________
;当转轮逆时针转动
后,点
到达点
的位置,则点
的纵坐标
与时间
(单位:
)的函数关系为__________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c857aaa8fc6074c0d499298451e4e737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1611d15c7e1e4ab4a4a61537b3989d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2362096fa475a1051827bddcdcac22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9f50605db5d5f8f3a01ee8e474a112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63033738ec5e7a227f4c9478a5ca66cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c1a48b92c61d209d0556e4cd8fdb70b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9f50605db5d5f8f3a01ee8e474a112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d65502a7ea4d1ce6d6d8c720845c73e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7441c7d2bca7b0325fc28a8077fb790.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/30/d1aae9af-24ca-49f1-b311-f09e3d60c3f4.png?resizew=202)
您最近一年使用:0次
2023-03-28更新
|
359次组卷
|
2卷引用:陕西省延安中学2022-2023学年高一下学期期中数学试题
名校
6 . 如图,正方形的边长为
,请利用
,写出一个简练优美的含有a,b的不等式为______ ,其中“=”成立的条件为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0319534e78ec7047c50cf23ba3b34be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee84a005c4c883b4dbd0e0dfd703cba3.png)
您最近一年使用:0次
2023-07-24更新
|
190次组卷
|
4卷引用:陕西省洛南中学2022-2023学年高一上学期期中数学试题
陕西省洛南中学2022-2023学年高一上学期期中数学试题山东省鄄城县第一中学2023-2024学年高一上学期9月月考数学试题(已下线)模块四 专题2 题型突破篇 小题进阶提升练(3)福建省莆田市第三中学2023-2024学年高一上学期十月月考数学试题
名校
解题方法
7 . 我们初中分别把反比例函数图象和二次函数图象称为“双曲线”和“抛物线”,事实上,它们就是圆锥曲线中的双曲线和抛物线,只是对称轴不是坐标轴,但满足基本的定义,也有相对应的焦点、准线、离心率等.已知反比例函数解析式为
,其图象所表示的双曲线的焦距为______ ;已知二次函数解析式为
,其图象所表示的抛物线焦点坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/646e11d5bff57e56ce82c2339f2d71ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e27065d384cf7ec57ece27f5a8af76.png)
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2022-12-15更新
|
354次组卷
|
5卷引用:陕西省西安市西航一中2022-2023学年高二上学期期中数学试题
名校
8 . 如图所示,定义域和值域均为R的函数
的图象给人以“一波三折”的曲线之美.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/69f58040-344f-4fff-bf43-56a8e163c612.png?resizew=169)
(1)若
在
上有最大值,则a的取值范围是______ ;
(2)方程
的解的个数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/69f58040-344f-4fff-bf43-56a8e163c612.png?resizew=169)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/185913996dca698b6b807108e09d4351.png)
(2)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f784ea016d826b292c39e89b1957c808.png)
您最近一年使用:0次
2022-11-10更新
|
893次组卷
|
9卷引用:陕西省多校2022-2023学年高一上学期第二次选科调考数学试题
解题方法
9 . 航天兴趣小组为了宣传祖国的航天成就,决定制作以“航天英雄”和“天空漫步”为主题的展板,已知制作一个“航天英雄”的展板需要
材料
,
材料
,制作一个“太空漫步”的展板需要
材料
,
材料
.现有
材料
,
材料
,按照以往经验,展板制作的越多,宣传的效果越好,那么为了达到最大的宣传效果,需要制作“航天英雄”展板__________ 个,“太空漫步”展板__________ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d776237845fded133ef34870d44afdb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f1b1bd0f94ae786c99ded377c0e79a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f1b1bd0f94ae786c99ded377c0e79a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56b9e4c736308c2a02506090579202c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57714942d1b235ccb7013357a0b8cc92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3d3a9d21ce317ab8afd122d96490ea6.png)
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10 . 近年来,人口问题已成为一个社会问题,人口老龄化,新生儿数量减少等问题已对我国的经济建设产生影响.为应对人口问题的挑战,2016年1月1日起全面放开二胎,2021年1月1日起全面放开三胎.下表是2016年~2020年我国新生儿数量统计:
研究发现这几年的新生儿数量与年份有较强的线性关系,若求出的回归方程为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57fa7223998561b2a28cfbeb11e54bb.png)
______ ,说明我国这几年的新生儿数量平均约以每年______ 万的速度递减(结果保留一位小数),这种趋势如果得不到遏制,我国人口形势将会非常悲观.
年份x | 2016 | 2017 | 2018 | 2019 | 2020 |
数量y(万) | 1786 | 1758 | 1532 | 1465 | 1200 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4db02eee4303902aaf5e56832c221042.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57fa7223998561b2a28cfbeb11e54bb.png)
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2022-04-26更新
|
159次组卷
|
3卷引用:陕西省安康市2022届高三下学期4月三模理科数学试题