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嘉许香港学生在全人发展的杰出表现

终身学习 全人发展

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中学数学专题习作比赛(2021/22)

学年

2021/22

主办机构

教育局

项目网址

https://www.edb.gov.hk/sc/curriculum-development/kla/ma/res/sa/mpc-mbrc.html

中学数学专题习作比赛是由教育局课程发展处数学教育组主办的比赛,旨在透过专题研习提高学生对学习数学的兴趣,及发展学生的共通能力。比赛设有两个组别:A组(初中习作)及 B 组(中一小型习作)。

只提供英文版本

前往英文版本

王肇枝中学

学生名单

徐子轩
吴钧皓
袁子聪
郑泽轩
徐乐桐
吴汝晴

年级

初中

奖项

冠军(初中习作)

得奖作品名称

面积平分线

作品集主题

得奖作品简介

给定任一三角形,求所有平分此三角形面积的线段当中长度最短的一条。

得奖作品

拔萃女书院

学生名单

欧卓怡
李思颖
李子悠
黄轩琳
陈凯慈

年级

初中

奖项

亚军(初中习作)

得奖作品名称

Celebrating Marion's Theorem: Correlations, Construction and Connections

作品集主题

得奖作品简介

In this report, we attempted to prove Marion’s Theorem with a deductive approach. We also expanded on her discoveries by constructing variations of the original diagram, and attempted to prove the observations and special properties found. The idea was extended to equilateral and isosceles triangles, and then to parallelograms, rhombuses, squares and rectangles. This project has connected the younger generation of mathematicians to the older generations. Although this all started by simply connecting lines together, we have achieved our goal at the end: “Celebrating Marion’s Theorem: Correlation, Construction and Connection”.

得奖作品

沙田官立中学

学生名单

何煌臻
郑汶希
林均昊
梁家熹
李洛言
黄嘉欢

年级

初中

奖项

季军(初中习作)

得奖作品名称

The COVID-19 Testing Problem: Efficiency of Conducting Tests

作品集主题

得奖作品简介

During the pandemic of COVID-19, the demand for virus testing dramatically increased, and so did the cost and waste caused by the tests. Traditionally, the subjects are tested individually, meaning that the number of tests conducted is the same as the number of people to receive testing. When a massive population needs to be tested, overloading in laboratories will be led and a tremendous amount of waste will be generated. In this paper, we investigated how to increase the efficiency of conducting tests. We estimate the total amount of tests used by different methods like pooling samples together and doing multiple groupings. We compared the results and found that the multiple grouping model is the optimum solution for our problem.

得奖作品

拔萃女书院

学生名单

欧卓怡
李思颖
李子悠
黄轩琳
陈凯慈

年级

初中

奖项

最佳演绎奖(初中习作)

得奖作品名称

Celebrating Marion's Theorem: Correlations, Construction and Connections

作品集主题

得奖作品简介

In this report, we attempted to prove Marion’s Theorem with a deductive approach. We also expanded on her discoveries by constructing variations of the original diagram, and attempted to prove the observations and special properties found. The idea was extended to equilateral and isosceles triangles, and then to parallelograms, rhombuses, squares and rectangles. This project has connected the younger generation of mathematicians to the older generations. Although this all started by simply connecting lines together, we have achieved our goal at the end: “Celebrating Marion’s Theorem: Correlation, Construction and Connection”.

得奖作品

拔萃女书院

学生名单

陈思颖
葉穎臻
蒋帛延
黄颖姸
黄宇荞

年级

初中

奖项

表现优异奖(初中习作)

得奖作品名称

Your Order has Arrived: How to Deliver Food Efficiently

作品集主题

得奖作品简介

Due to the Covid-19 pandemic outbreak, the use of food delivery services is growing increasingly prevalent in our society. Different food delivery companies have adopted different methods to design routes for delivering orders. Selecting the right route is essential as it directly influences a company’s cost and profit. In order to design the optimal route, one must take into account many factors such as distance, the sequence of orders, the number of orders and customer experience, etc. In our project, we are going to develop a mathematical model to determine the optimal route for one or more riders to deliver food orders.

得奖作品

香港培正中学

学生名单

植向言
钟家杰
冼曙政
王嘉进

年级

初中

奖项

表现优异奖(初中习作)

得奖作品名称

Investigation on the Coin Throwing Game

作品集主题

得奖作品简介

In this project, we find the probability of winning the coin throwing game. That is, the probability of a coin fitting on tessellated patterns. The tessellation patterns include square, rectangle, equilateral triangle, arbitrary triangle and regular hexagon. General formulas are found depending on the number of tessellated shapes and their size.

得奖作品

王肇枝中学

学生名单

陈颂谦
陈彦衡
周本轩
洪振浩
张哲彬
张烙华

年级

初中

奖项

表现优异奖(初中习作)

得奖作品名称

Rock, Paper, Scissors or ?

作品集主题

得奖作品简介

We usually play rock, paper or scissors in our daily life to randomly and fairly to determine who is the winner. However, it is quite time-consuming if the number of players increases. We investigate some more ways to play a similar game to Rock Paper Scissors which is more efficient to determine a winner in this project.

得奖作品

沙田官立中学

学生名单

何煌臻
郑汶希
林均昊
梁家熹
李洛言
黄嘉欢

年级

初中

奖项

数学建模奖(初中习作)

得奖作品名称

The COVID-19 Testing Problem: Efficiency of Conducting Tests

作品集主题

得奖作品简介

During the pandemic of COVID-19, the demand for virus testing dramatically increased, and so did the cost and waste caused by the tests. Traditionally, the subjects are tested individually, meaning that the number of tests conducted is the same as the number of people to receive testing. When a massive population needs to be tested, overloading in laboratories will be led and a tremendous amount of waste will be generated. In this paper, we investigated how to increase the efficiency of conducting tests. We estimate the total amount of tests used by different methods like pooling samples together and doing multiple groupings. We compared the results and found that the multiple grouping model is the optimum solution for our problem.

得奖作品

香港九龙塘基督教中华宣道会陈瑞芝纪念中学

学生名单

蔡颖儒
黄韵霏
郭显迅
陈海岚

年级

中一

奖项

表现优异奖(中一小型习作)

得奖作品名称

纸鹤的阔和高及其延伸利用

作品集主题

得奖作品简介

在这次专题研习中, 我们会从折纸鹤中分析出当中的数学原理,以及利用我们分析出来的公式,去寻找社会上不同纸鹤作品的原本面积。希望透过这个专题研习向大家展示出折纸和数学的有趣和奥妙之处,一起从中找到乐趣。

得奖作品

拔萃女书院

学生名单

区颖晞
麦熙童
黄海晴
周敔瑶
何祉欣

年级

中一

奖项

表现优异奖(中一小型习作)

得奖作品名称

The Planning of the Fire Evacuation Routes for our School

作品集主题

得奖作品简介

In this project, we aim to plan the evacuation routes of our school as we would like to see if the existing routes can be further improved. We started by taking measurements in the school. Next, we gathered the measurements and created 2 spreadsheets. In sheet 1, we included all venues, staircases and corridors to indicate the travelling time and the number of people that can evacuate along neighbouring venues in all possible routes. Sheet 2 is the planning for all routes and the calculation of the time needed for each route. At last, we will compare the planned routes of this project to the existing evacuation routes.

得奖作品

拔萃女书院

学生名单

区颖晞
麦熙童
黄海晴
周敔瑶
何祉欣

年级

中一

奖项

数学建模奖(中一小型习作)

得奖作品名称

The Planning of the Fire Evacuation Routes for our School

作品集主题

得奖作品简介

In this project, we aim to plan the evacuation routes of our school as we would like to see if the existing routes can be further improved. We started by taking measurements in the school. Next, we gathered the measurements and created 2 spreadsheets. In sheet 1, we included all venues, staircases and corridors to indicate the travelling time and the number of people that can evacuate along neighbouring venues in all possible routes. Sheet 2 is the planning for all routes and the calculation of the time needed for each route. At last, we will compare the planned routes of this project to the existing evacuation routes.

得奖作品

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  • 中学
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修订日期:2023年2月10日

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