Maths Week Day 2 | 王子殿下與火柴遊戲Prince & Matchsticks

2021-03-01 KingsCollegeSchoolHangzhou

例如,怎麼移動一根火柴,使下面的圖形變成正方形?

For example, how to move a match so that the following shape becomes a square?

哈哈,答案就是(點擊看答案):

Haha, the answer is (click to get the answer):

這個例子告訴我們,不要把自己的思維固定在一個模式下,跳出固有思維,你會有不一樣的收穫哦 – 當然這個例子還提醒了我們火柴並不是一維的。

Although it’s not a conventional matchstick puzzle, it tells us, don't restrict your mindset! Jump out of the box and you may gain more insight - and of course, a matchstick has more than one dimension.

下面就讓我們來看看真正的Matchstick Puzzles吧!

Now let's take a look at the real matchstick puzzles!

巧移火柴遊戲還有其他類型的題目,我們一起來看一看,想一想,擺一擺。

There are other types of matchstick puzzles. Let's take a look and have a try!

方向變換

Change directions

只移動三根火柴,改變小魚的方向。

Move only three matches to change the direction in which  the fish is heading.

答案(點擊看答案):

Answer (click to get the answer):

數量變換 

Change the number of shapes

下圖是20根火柴棍組成的5個同樣大小的小正方形,請你移動三根火柴棍,使圖中的小正方形變成7個。

Here are five small squares of the same size, which are made up of 20 matchsticks. Please move three matchsticks, so that number of small squares become seven.

先別著急移動火柴,我們先用數學的方式審視一下問題:每個小正方形需要4根火柴棍,七個也就是28根。但是題目中只有20根,所以有8根火柴棍被公用,也就是說圖形應是比較緊湊的。

Let’s sit back and do some Maths. Each small square needs 4 matchsticks, 7 of which are 28. In the question there are only 20 matches, which means 8 matchsticks will be shared, which also means the figure should be relatively more compact.

答案 (點擊看答案):

Answer (click to get the answer):

等式變換  

Equation transformation

只移動一根火柴,使等式成立。

Move only one match to make the equation correct.

這個就需要同學們進行頭腦風暴了,答案如下圖(點擊看答案)。

This requires students to brainstorm. And the answer is as follows (click to get the answer).

還有更多的巧移火柴遊戲等著你來解決。同學們可以點擊以下連結,在網頁上移動火柴來完成目標,快來挑戰吧!

There are many matchstick puzzles for you to solve. You may click the following links and move matches on the web page to complete the tasks. Come to challenge yourself!

火柴棒遊戲1  Matchstick Puzzles 1:

https://www.geogebra.org/m/FDsXjqmz

火柴棒遊戲2  Matchstick Puzzles 2:

https://www.geogebra.org/m/H6mxQ6g8

在解決火柴puzzle的時候,要注意如何運用我們的大腦:

1.多嘗試,不要害怕失敗。

2.改變我們習慣看問題的方式,嘗試從不同的角度去思考問題,即使有些角度看起來很隨意,它們可能使我們更接近答案。

3.批判性思維。對於任何方法不要帶有偏見,並保持一定的獨創性。

When we solve the matchstick puzzles, we should pay attention to our mindset:

1. Keep trying. Don't be afraid of failure.

2. Change our normal way of thinking and try different perspectives. Some seemingly random perspectives may take us closer to the solution. 

3. Critical thinking. Don't be biased against any method, and keep a moderate amount of originality.

看過了這麼多例子之後,你是不是也想創造自己的Puzzle呢。同學們可以自己擺一擺,考一考爸爸媽媽,也可以跟家人一起拍一個視頻並傳給我們(mathsweek2020@rkcshz.cn),一起來考一考你的同學們!

After trying so many examples, do you want to create your own puzzles?You may  try to challenge your parents, or take a video with your family and show it to us (mathsweek2020@rkcshz.cn) , so we will have fun together when we back to school!

期待著你們屬於自己的作品!

We look forward to your unique videos!



溫馨提示:數學攝影大賽將於今日截止,還沒投稿的同學抓緊啦~

Please be noted that today is the deadline for Maths Photography Contest!


活動預告 | Maths Photography Contest 發現數學之美

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