A demonstration device for university mathematics probability teaching

Abstract

The invention discloses a university mathematics probability teaching demonstration device. A tube body is provided with a plurality of light transmission slits at equal intervals in the peripheral direction; a conical light transmission isolation surface with an air spraying opening in the center is arranged at the lower end inside the tube body; the air spraying opening is connected with an airpump; the air pump is connected with a micro processor through an air pump controller; the micro processor is also connected with a first light detection unit and a second light detection unit; each first light receiving end of the first light detection unit is in one-to-one correspondence to each light transmission slit; two second light receiving ends of the second light detection unit respectively correspond to an upper opening and a lower opening of the tube body; the micro processor is also connected with a touch display screen, a timing module and a counting module; a ball body is builtin the tube body, and comprises an inside light passage; light given out by a light emission unit arranged in the ball body passes through the light passage and is then emitted out from a light emission seam formed in the surface of the ball body; and the distance between the two end parts of the light emission seam is smaller than a space of the light transmission slits. The experiment about theBuffon's needle problem can be automatically simulated; and the randomness and the needle throwing efficiency of the experiment about the Buffon's needle problem are greatly improved.

Description

technical field [0001] The invention relates to the field of mathematics teaching equipment, in particular to a university mathematics probability teaching demonstration device. Background technique [0002] In the teaching of probability theory, because probability knowledge itself is relatively abstract, it is difficult for students to form a more intuitive concept of it, so corresponding teaching instruments are needed to demonstrate the distribution or formation process of probability, so that students can form an intuitive impression of probability distribution And carry out a deep understanding to achieve good teaching effect. [0003] In 1777, the French scientist Buffon proposed the famous "Needle Throwing Experiment" in his book "Arithmetic Experiment of Probability". The distance between the two straight lines is a fixed value a. Then, throw a needle with length l (l<a) evenly and arbitrarily on this plane. If the straight lines intersect, the throw is conside...

AI Technical Summary

Problems solved by technology

However, in reality, there are many difficulties in simulating the Pufeng probability experiment done by Mr. Pufeng

First of all, it is very difficult to find an experimenter who can throw needles at random. If someone or several people keep throwing needles repeatedly, the distribution of the needles thrown on the needle surface will inevitably be affected by personal habits, and it is difficult to approach. And achieve a random state, so that the thrown needles may be more concentrated in certain areas of the needle surface or the distribution of the needles may have a certain direction, it is difficult to meet the random uniform distribution conditions of the needles

Secondly, artificial needle injection will inevitably lead to low needle injection efficiency, and it will take a lot of time to repeat several experiments

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