Why do pigeons return home accurately?

It is as if the perception of the magnetic field makes them know the direction.

That's right, this kind of problem is called the drawer problem, but the math book says what is this called the song nest problem, they are just embarrassed to say that this is the drawer principle in the Olympiad, really I was also drunk, I remember that I was in the third grade.

The pigeon's nest problem is that an object is placed in a drawer, and finding the minimum number of objects is the song nest problem.

The pigeon nest problem is also known as the drawer principle, a mathematics that is very relevant to the reality of life.

m objects are put into n drawers, and finding the minimum number of objects is a pigeon nest problem.

The formula for the pigeon nest problem is summarized as: the number of objects The number of pigeon nests = quotient ......Remainder, at least number = quotient + 1.

Steps to solve a problem such as the pigeon nest problem.

1. Use the total quantity to remove the number of boxes (the number of drawers), and find the merchant first.

2. If there is a remainder, then: at least number = quotient + 1

3. If there is no remainder, then: at least number = quotient.

An example of a pigeon nest problemPut 10 pens into 3 pen holders, and there will always be a pen holder with at least a few pens in it.

1. Suppose there are 3 pens in each pen holder, 9 pens should be placed in 3 pen holders, and there is 1 pen left.

2. The column formula with the average score is: 10 3 3 (branch) ......1 (branch).

3. No matter which pen holder the remaining 1 pen is put into, there is always a pen holder with at least 3 + 1 = 4 (pieces) of pens.

4. Formation rule: put more than kn (k is a positive integer) objects into n drawers, and there is always a drawer with at least (k+1) objects.

"Nest problem" is also known as "drawer problem".

It is the content of the fifth unit of mathematics in the second volume of the sixth grade mathematics of the people's education edition. The "pigeon's nest problem" is a form of mathematics learning content that is different from the previous ones, and through the study of the "pigeon's nest problem", you can cultivate good logical thinking ability.

This kind of mathematical problem was proposed by the German mathematician Dirichley to combine the principle of mathematical combinatorship. The principle of the open-door drawer is to put 10 apples into 9 drawers, and there is always a drawer with at least 2 apples.

The principle of the pigeon nest is that if 6 pigeons fly into 5 pigeon nests, there is always a pigeon nest that flies into at least 2 pigeons.

In fact, whether it is the principle of the drawer or the pigeon's nest, they all have the same law, so their solution method is also the same.

The long-distance arrival of a pigeon depends on three things:

1. The magnetic field identifies the homing stage.

2. In the middle of the blind zone of the magnetic field, the memory homing stage.

3. Vision and hearing recognition and homing stage.

In other words, the place of release and the destination are divided into three sections, and the pigeon finds its home by the above three steps.

1 Because the magnetic field is different in each region of the earth, so the pigeon is the reason for the magnetic declination to find a home, 2When it is closer to home, the magnetic declination will be reduced, so that the pigeon can not find its way home by the magnetic declination, and the pigeon can only rely on the previous memory, relying on the sun's rays, as well as the trend of the mountains and rivers, as a reference, to find the way home.

3.The pigeon's eyesight and hearing are very good, and when the pigeon flies out of the blind spot of the magnetic field, it is already very close to home, at this time, he can see some things he saw when he was a child, such as some tall buildings, etc., and can also hear some sounds, such as the chirping sound of the same group of pigeons, so the pigeon will rely on his vision and hearing to return home smoothly.

However, if one of these three parts goes wrong, it will be difficult for the pigeons to return home.

For example, the landlord said that a small magnet is tied, which will interfere with the identification of the magnetic declination of the pigeon, so the pigeon can not return normally, but it is not absolutely impossible to return home, there are also many pigeon that have been super trained and have a super memory, you can return to the nest just by virtue of sight and hearing, memory.