Demonstration instrument for Buffon probability experiment

A demonstrator and experimental technology, which is applied in the field of probability demonstrators, can solve the problems of not being able to meet the random and uniform distribution conditions of small needles, consume a lot of time, and affect the efficiency of needle injection, so as to save manpower, increase one level of randomness, and improve experimental efficiency. Effect

Inactive Publication Date: 2012-06-27
XIDIAN UNIV
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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.

Method used

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  • Demonstration instrument for Buffon probability experiment
  • Demonstration instrument for Buffon probability experiment
  • Demonstration instrument for Buffon probability experiment

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Embodiment Construction

[0035] According to the Pufeng experimental formula and the random uniform distribution experimental conditions required by the Pufeng probability experiment, the invention designs components meeting the experimental conditions, and combines them according to a certain relationship to form the Pufeng probability experiment demonstrator.

[0036] refer to figure 1, the present invention comprises support rod 6-3, circular base plate 12, vertical cylinder 7; instrument; said circular bottom plate 12 is provided with a guardrail 8, the guardrail 8 is connected with the support structure 6 by a guardrail adjustment device 10, and a horizontal pin plate 9 is placed in the middle of the guardrail for statistical experiment data, and the guardrail is used to place the needles falling on the horizontal Part of the small needles on the needle plate bounce back to increase the effective experimental data and first-level randomness, that is, the position and attitude of the small needles...

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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...

Claims

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Application Information

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IPC IPC(8): G09B23/02
Inventor 梁昌洪熊威贺之莉黄锴付森刘国林
Owner XIDIAN UNIV
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