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Curriculum Development Institute
Education Bureau

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嘉許香港學生在全人發展的傑出表現

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中學數學專題習作比賽(2021/22)

學年

2021/22

主辦機構

教育局

項目網址

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

中學數學專題習作比賽是由教育局課程發展處數學教育組主辦的比賽,旨在透過專題研習提高學生對學習數學的興趣,及發展學生的共通能力。比賽設有兩個組別:A組(初中習作)及 B 組(中一小型習作)。

只提供英文版本

前往英文版本

王肇枝中學

學生名單

徐子軒
吳鈞皓
袁子聰
鄭澤軒
徐樂桐
吳汝晴

年級

初中

獎項

冠軍(初中習作)

得獎作品名稱

面積平分線

作品集主題

得獎作品簡介

給定任一三角形,求所有平分此三角形面積的線段當中長度最短的一條。

得獎作品

拔萃女書院

學生名單

歐卓怡
李思穎
李子悠
黃軒琳
陳凱慈

年級

初中

獎項

亞軍(初中習作)

得獎作品名稱

Celebrating Marion's Theorem: Correlations, Construction and Connections

作品集主題

得獎作品簡介

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”.

得獎作品

沙田官立中學

學生名單

何煌臻
鄭汶希
林均昊
梁家熹
李洛言
黃嘉歡

年級

初中

獎項

季軍(初中習作)

得獎作品名稱

The COVID-19 Testing Problem: Efficiency of Conducting Tests

作品集主題

得獎作品簡介

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.

得獎作品

拔萃女書院

學生名單

歐卓怡
李思穎
李子悠
黃軒琳
陳凱慈

年級

初中

獎項

最佳演繹獎(初中習作)

得獎作品名稱

Celebrating Marion's Theorem: Correlations, Construction and Connections

作品集主題

得獎作品簡介

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”.

得獎作品

拔萃女書院

學生名單

陳思穎
葉穎臻
蔣帛延
黃穎姸
黃宇蕎

年級

初中

獎項

表現優異獎(初中習作)

得獎作品名稱

Your Order has Arrived: How to Deliver Food Efficiently

作品集主題

得獎作品簡介

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.

得獎作品

香港培正中學

學生名單

植向言
鍾家傑
冼曙政
王嘉進

年級

初中

獎項

表現優異獎(初中習作)

得獎作品名稱

Investigation on the Coin Throwing Game

作品集主題

得獎作品簡介

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.

得獎作品

王肇枝中學

學生名單

陳頌謙
陳彥衡
周本軒
洪振浩
張哲彬
張烙華

年級

初中

獎項

表現優異獎(初中習作)

得獎作品名稱

Rock, Paper, Scissors or ?

作品集主題

得獎作品簡介

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.

得獎作品

沙田官立中學

學生名單

何煌臻
鄭汶希
林均昊
梁家熹
李洛言
黃嘉歡

年級

初中

獎項

數學建模獎(初中習作)

得獎作品名稱

The COVID-19 Testing Problem: Efficiency of Conducting Tests

作品集主題

得獎作品簡介

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.

得獎作品

香港九龍塘基督教中華宣道會陳瑞芝紀念中學

學生名單

蔡穎儒
黃韻霏
郭顯迅
陳海嵐

年級

中一

獎項

表現優異獎(中一小型習作)

得獎作品名稱

紙鶴的闊和高及其延伸利用

作品集主題

得獎作品簡介

在這次專題研習中, 我們會從摺紙鶴中分析出當中的數學原理,以及利用我們分析出來的公式,去尋找社會上不同紙鶴作品的原本面積。希望透過這個專題研習向大家展示出摺紙和數學的有趣和奧妙之處,一起從中找到樂趣。

得獎作品

拔萃女書院

學生名單

區穎晞
麥熙童
黃海晴
周敔瑤
何祉欣

年級

中一

獎項

表現優異獎(中一小型習作)

得獎作品名稱

The Planning of the Fire Evacuation Routes for our School

作品集主題

得獎作品簡介

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.

得獎作品

拔萃女書院

學生名單

區穎晞
麥熙童
黃海晴
周敔瑤
何祉欣

年級

中一

獎項

數學建模獎(中一小型習作)

得獎作品名稱

The Planning of the Fire Evacuation Routes for our School

作品集主題

得獎作品簡介

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.

得獎作品

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修訂日期:2023年2月10日

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