Popular science experimental method for checking pythagorean proposition

Abstract

The invention relates to a science experiment method for verifying the Pythagorean theorem. A semi-circle O1 is made by taking a line AB as the radius, and a circle O2 is made by taking a point E as the circle center and a line AE as the radius; a point C is arbitrarily selected on the semi-circle O1; a line AC extends to obtain a point G, and a line BC extends to obtain a point D; the line AB is taken as a side to make a first square frame body; the line AC and the line DC are taken as the sides to make a second square frame body, the line BC and the line GC are taken as the sides to make a third square frame body, wherein, the depths of the all the frame bodies are equal; the first square frame body, the second square frame body and the third square frame body are filled with flowing presentations, the point C is moved on the circle O1, the point D and the point G are moved on the circle O2, and the accommodating areas of the second square frame body and the third square frame body correspondingly change along with the movement of the point C, the point D and the point G; and the presentations filled in the second square frame body and the third square frame body are mutually changed or flow. The invention can be used for demonstrating the intuitively reflected Pythagorean theorem when the two right angle sides continuously change under the condition without changing one bevel side.

Description

technical field [0001] The invention relates to the technical field of experimental teaching apparatus and devices, in particular to a method for popular science experiments for verifying the Pythagorean theorem. Background technique [0002] The Pythagorean theorem is a basic formula in mathematics, which has been involved in mathematics in primary and secondary schools. Visually demonstrating and observing the Pythagorean theorem through teaching equipment is very helpful for primary and middle school students to learn and understand the Pythagorean theorem. In the Science Museum in Paris, France, there is a device to prove the Pythagorean theorem. This device uses fixed-length right-angled sides and hypotenuses. The design method is: use the right-angled sides and hypotenuses to form three square containers (equal heights) ), where the container formed by the hypotenuse is filled with water, and the container formed by the right angle is empty, when this right triangle i...

AI Technical Summary

Problems solved by technology

[0004] Although the above-mentioned experimental devices can be intuitively demonstrated and understood, these devices are all static, that is, only a right triangle with a fixed acute angle can be demonstrated once, and any side of the demonstrated right triangle does not change

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