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【TED ED 中英雙語】 P89

2023-09-03 19:59 作者:阿貍烤魚-  | 我要投稿

Can you solve the secret werewolf riddle

你能解開狼人秘密之謎嗎

來源視頻

You’re on the trail of a werewolf that’s been terrorizing your town.?

After months of detective work, you’ve narrowed your suspects to one of five people: the mayor, the tailor, the baker, the grocer, or the carpenter.?

You’ve invited them to dinner with a simple plan: you’ll slip a square of a rare werewolf antidote into each of their dinners.

你正在追蹤著一只對你的小鎮(zhèn)虎視眈眈的狼人。

經(jīng)過數(shù)個月的偵查,你鎖定了五個嫌疑人:鎮(zhèn)長、裁縫、面包師、雜貨商或木匠。

你邀請他們共進晚餐,計劃很簡單:你將會在每個人的晚餐中悄悄放入一片稀有的正方形狼人解藥。

Unfortunately, your pet goat just ate four of the squares, and you only have one left.

Luckily, the remaining square is 50 grams, and the minimum effective dose is 10 grams.?

If you can precisely divide the square into fifths you’ll have just enough antidote for everyone.

You’ll have to use a laser-cutting tool to cut up the square; every other means available to you isn’t precise enough.?

There are 8 points that can act as starting or ending points for each cut.?

To use the device, you’ll have to input pairs of points that tell the laser where to begin and end each cut, and then the laser executes all the cuts simultaneously.

不幸的是,你的寵物山羊?剛剛吃掉了四片解藥,所以你只剩下了一片。

幸運的是,剩下的這一片重?50?克,而最小有效劑量是?10?克。

如果你能準確地 把這個正方形一分為五,那每個人都能得到一份解藥。

你必須使用一臺激光切割機,其它所有方式都不夠精確。

有八個點可以充當 每次切割的起點或終點。

每一道切割,你都必須輸入兩個點作為切割的起點和終點。儀器會一次性執(zhí)行 你設(shè)置好的所有切割。

It’s okay to cut the square into as many pieces as you want, as long as you can group them into 10 gram portions.

But you can’t fold the square or alter it otherwise, and you only get one shot at using the laser cutter.?

The full moon is rising, and in a moment someone will transform and tear you all apart unless you can cure them first.?

How can you divide the antidote into perfect fifths, cure the secret werewolf, and save everyone?

Pause the video now if you want to figure it out for yourself.?

Answer in 3?

Answer in 2?

Answer in 1

無論切成多少塊都沒有關(guān)系,只要最后能把藥片 湊成10克的份量即可。

但你不能把正方形折起來, 或者用其它方式改變它而且你只有一次使用激光切割機的機會。

滿月正在升起,再過一會就會有人變身狼人 把你們撕成碎片,除非你預(yù)先治好那個人。

你要如何將解藥完美地平分成五份,治好藏在五人之中的狼人, 拯救大家呢?

如果想要自己解開謎題, 請在此畫面暫停。

答案揭曉:3

答案揭曉:2

答案揭曉:1

When it comes to puzzles that involve cutting and rearranging, it’s often helpful to actually take a piece of paper and try cutting it up to see what you can get.

If we cut BF and DH we’d get fourths, but we need fifths.?

Maybe there’s a way to shave a bit off of a quarter to get exactly one fifth.?

Cutting BE looks good at first, but that last cut takes a off a quarter of a quarter, leaving us with a portion of 3/16: just smaller than a fifth, and not enough to cure a werewolf.?

What if we started with BE instead??

That would also give us a quarter.

對于跟分割和重組有關(guān)的謎題,拿起一張紙嘗試實際切割通常很有幫助。

沿著?BF?和?DH?切割可將其一分為四, 但我們需要五份。

或許有辦法可以往四分之一上 再切一點,得到五分之一。

BE?乍一看是個好選擇,但這會切掉四分之一的四分之一,剩下十六分之三, 比五分之一略小了一點,不足以治愈狼人。

那要是從?BE?開始切割呢?

這也會使我們得到四分之一。

And is there a way to shave just a bit more off?

Both DG and CH look promising.?

If we make one more cut, from A to F, we may start to notice something.?

With these four cuts—from B to E, D to G, F to A, and H to C—we’ve got four triangles and a square in the middle.?

But the pieces that make each triangle can also be rearranged to make a square identical to the middle one.?

This means that we’ve split the antidote into perfect fifths!?

What’s interesting about this sort of problem is that while it’s possible to solve it by starting from the geometry, it’s actually easier to start experimenting and see where that gets you.

That wouldn’t be as viable if the square had, say, 24 cut points, but with just 8 there are only so many reasonable options.

還能再切掉一點嗎?

DG?和?CH?看起來都像是不錯的選擇。

如果我們再沿著?AF?切一道,我們就會發(fā)現(xiàn):若沿著這四條線切割—— B?至?E、D?至?G、F?至?A、H?至?C——我們就會得到四個三角形和中間的一個正方形。

但組成每個三角形的切片都能被重新拼成一個 跟中間那個一模一樣的正方形,由此,我們成功地將解藥平分成了五份!

關(guān)于這類問題,有趣的是盡管幾何學計算也能幫你找出答案,但直接動手嘗試反而比較容易。

雖然如果正方形上有?24?個點之類的話 反復試驗自然不太現(xiàn)實,但只有?8?個點的話 只有那么多選擇供你嘗試。

You secretly dose each of the townspeople as the full moon emerges in the sky.?

And just as you do, a terrible transformation begins.?

Then, just as suddenly, it reverses. Your measurements were perfect, and the people and animals of the town can rest a little easier.

隨著滿月在夜空中出現(xiàn),你將解藥偷偷放進每個人的飯菜里。

你剛剛搞定一切, 可怕的變身就猛地開始,緊接著又同樣迅速地被扭轉(zhuǎn)了。

你的劑量完美,小鎮(zhèn)里的居民和動物又得以安心了。

【TED ED 中英雙語】 P89的評論 (共 條)

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