一根长7米的竹竿能否通过一扇宽两米高三米的门?

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سؤال

一根长7米的竹竿能否通过一扇宽两米高三米的门?

الفكرة

Evaluating the bamboo stick puzzle

The question is asking about a 7-meter bamboo stick passing through a 2-meter wide and 3-meter high door. It's a geometry puzzle, likely involving moving the rod through the door at an angle. The diagonal of the door is the key, and calculating it gives about 3.61 meters, which is shorter than the rod, so the rod can't fit without bending or using some other technique. This might be the classic puzzle with a surprising twist related to maneuvering.

Consideration of moving a bamboo stick

This puzzle feels similar to the classic "moving a couch through a door" problem, but the bamboo stick is rigid. If it were flexible, maybe it could be angled to fit. However, bamboo isn't typically flexible so that approach's out. The question about a 7-meter bamboo stick through a 2x3 meter door seems to bring up a classic mathematical problem about fitting objects diagonally, but with the bamboo stick being rigid, I think it won't fit through the door as is.

Solving the bamboo stick puzzle

So, it might seem impossible to move a 7-meter stick through a 2x3 meter door since its diagonal is only about 3.61 meters. However, there's a trick to this puzzle: you can move the stick by tilting it in three dimensions. This is similar to the "ladder through a door" puzzle, where the object can be maneuvered through by rotating it. So, yes, if you tilt the bamboo rod appropriately, it might be possible to pass it through the door!

Reasoned about bamboo pole and doorway for 35 seconds

الإجابة

答案是:能通过。

解析:
虽然门的实际尺寸(宽2米、高3米)看起来远小于竹竿的7米长度,但关键在于竹竿不必全长同时处于门框的平面上。只要将竹竿巧妙地倾斜、旋转,就可以使其在门框平面上的投影(也就是“过门”时实际需要的空间)足够小,从而避免与门框发生碰撞。简单来说,通过利用三维空间的旋转,将竹竿的一部分先引入门内,再逐步调整角度,就能让整根竹竿顺利通过门口。

这个问题实际上考查的是如何利用空间的第三个维度来“缩短”物体在某一平面上的投影,从而让看似太长的物体也能通过有限的开口。

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