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What are the concrete examples of abstract thinking?
Mathematics is an abstract subject, and mathematics learning needs students' abstract thinking ability as the foundation. I'll give you a few examples of abstract thinking, hoping to help you.

Examples of abstract thinking 1

There are two sheep on the grass, but in the eyes of artists, biologists, physicists and mathematicians, they have different feelings and understandings. The following is their description.

Artist:? Blue sky, clear water, green grass and white sheep are beautiful and natural. ?

Biologist:? Men and women, endless. ?

Physicist:? The big sheep lay still and the little sheep walked. ?

Mathematician:? 1+ 1=2。 ?

Examples of abstract thinking 2.

Wild boars and horses eat grass together. Wild boars often do bad things, either stepping on grass or muddling water. The horse was very angry and wanted revenge, so he asked the hunter for help. The hunter said, unless you put a halter on the horse and let him ride it.

The horse was eager for revenge and agreed to the hunter's request. The hunter rode a horse and defeated the wild boar. Then he brought the horse back and tied it to the manger. The horse lost its original freedom.

There are three examples of abstract thinking.

A farmer invited engineers, physicists and mathematicians to enclose the largest area with the least fences.

The engineer fenced a circle and declared that it was the best design.

The physicist said:? Remove the fence and form a long enough straight line. When it surrounds half the world, it has the largest area. ?

The mathematician gave them a big laugh. He surrounded himself with several fences and said, I am outside the fence now. ?

There are four examples of abstract thinking.

Cyclists can only run about 1 0 km with both feet on1hour; A person can run 100 km with one foot on the accelerator when driving, 1 hour; People can run 300 kilometers 1 hour with their eyes closed. People can fly 1000 km and eat 1 hour of delicious food.

There are five examples of abstract thinking.

Professor Chen Shengshen, an American Chinese, is a world-famous mathematician. He was surprised by a lecture at Peking University:

? It is often said that the sum of the internal angles of a triangle is equal to 180 degrees. However, this is not right! ?

Everyone was shocked. What's going on here? The sum of the internal angles of a triangle is 180 degrees. Isn't this common sense in mathematics?

Then, the old professor gave an incisive answer to everyone's questions:? It is wrong to say that the sum of the angles in a triangle is 180 degrees, not that this fact is wrong, but that this way of looking at the problem is wrong. It should be said that the sum of the outer angles of a triangle is 360 degrees. ?

? Looking at the inside corner, we can only see:

The sum of the internal angles of the triangle is 180 degrees;

The sum of the internal angles of the quadrilateral is 360 degrees;

The sum of the internal angles of the Pentagon is 540 degrees;

. . . . .

Is the sum of the internal angles of an N-polygon (n-2)? 180 degrees.

This has found a formula for calculating the sum of internal angles. The number of edges n appears in the formula. What if you look at the corner outside?

The sum of the external angles of the triangle is 360 degrees;

The sum of the external angles of the quadrilateral is 360 degrees;

The sum of the external angles of the Pentagon is 360 degrees;

?

The sum of the outer angles of any N-polygon is 360 degrees.