Demonstration instrument for Buffon probability experiment

Abstract

The invention discloses a demonstration instrument for a Buffon probability experiment, and mainly aims to solve the problem of influence of personal habits on an experimental result and effectively simulate Buffon probability experiment conditions by a machine instead of manual labor. The demonstration instrument comprises a bracket structure (6), a circular bottom plate (12) and a vertical cylinder (7). An electromagnetic vibration disk (1) is positioned on a hollow top plate (14) above the vertical cylinder (7). A needle scattering shaft (2) penetrates through the center of the top plate. Rotating arms (3) are arranged at the lower end of the needle scattering shaft. A rotating claw (5) is connected to the lower end of each rotating arm. The needle scattering shaft, the rotating arms, the rotating claws and the vertical cylinder form an experimental small needle running channel. A horizontal needle receiving disk (9) is arranged on the circular bottom plate (12). Small needles are scattered from the electromagnetic vibration disk, pass through the small needle running channel and fall on the horizontal needle receiving disk. The number of the small needles and the number of intersection points of the small needles with three groups of parallel lines are counted to obtain a circumference-to-diameter ratio. By the demonstration instrument, an abstract concept is embodied, andthe teaching of a probability theory is vivid and convenient to comprehend.

Description

technical field [0001] The invention belongs to the technical field of teaching instruments, and in particular relates to a probability demonstration instrument, which can be used in the teaching of probability theory to demonstrate Pufeng probability experiments. Background technique [0002] In the teaching of probability theory, students are often unable to form a more intuitive concept of probability due to the abstraction of knowledge itself. Therefore, it is necessary to use teaching instruments to demonstrate the distribution of probability or the process of its formation, so that students can form an intuitive concept of probability distribution. understanding and achieve better teaching results. [0003] In 1777, the French scientist Buffon published a book called "Arithmetic Experiments of Probability", in which he introduced the famous "needle experiment", which is to draw some numbers on a horizontal surface. Parallel lines, so that the distance between their tw...

AI Technical Summary

Problems solved by technology

[0007] There are many difficulties in simulating the Puffon probability experiment done by Mr. Puffon in reality

First of all, it is very difficult to find many experimenters who have no knowledge of this experiment in real life to do this experiment

If several people keep throwing needles repeatedly, the distribution of small needles on the needle tray must be affected by personal habits. Small needles may be concentrated in certain areas of the needle tray, and the distribution of small needles may have a certain direction. property, unable to satisfy the random uniform distribution condition of small needles

Secondly, artificial needle injection will inevitably affect the efficiency of needle injection, and it will take a lot of time to repeat the experiment many times

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