"Exploring the Pythagorean Theorem" Pythagorean Theorem PPT Courseware 4

Description

"Exploring the Pythagorean Theorem" Pythagorean Theorem PPT Courseware 4

problem situation

1. We have obtained the Pythagorean Theorem through exploration in the last class. What is the content of the Pythagorean Theorem?

2. How to verify the Pythagorean Theorem?

According to incomplete statistics, there are more than 400 verification methods. Do you want to get your own method?

collaborative inquiry

Group activity: Please use the four congruent right triangles you prepared to form a square with the hypotenuse as the side length.

Domestic investigation team report

The method of using Figure 2 to verify the Pythagorean Theorem is reported to have been first given by the mathematician Zhao Shuang during the Three Kingdoms period when he was annotating the "Zhou Bi Suan Jing". In the history of our country, the square on the string in Figure 2 is called a chord diagram.

The 2002 Congress of Mathematicians (ICM-2002) was held in Beijing. The central pattern of the logo of this conference is an artistically processed string diagram. This not only marks the mathematical achievements of ancient China, but also resembles a rotating windmill. Welcome Mathematicians from all over the world!

Expansion exercises

1. The picture shows the traffic plan of a certain riverside area. In order to speed up economic development, the area plans to build a riverside expressway connecting the three cities of M, O and Q. It is known that the construction cost of the riverside expressway is 1 million yuan/km. What is the estimated cost of the expressway?

2. As shown in the figure, a 25m long ladder AB is leaning against a vertical wall AO. The AO distance at this time is 24m. If the top A of the ladder slides down 4m along the wall, then the bottom B of the ladder also moves 4m outward. ?

3. As shown in the picture, due to the impact of Typhoon Maisa, a large tree with a height of 18 meters broke. The top of the tree fell 6 meters away from the base of the tree. How high is the tree after it was broken?

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For more information about the "Pythagorean Theorem Exploring Pythagorean Theorem" PPT courseware, please click on the Pythagorean Theorem ppt Exploring Pythagorean Theorem ppt tag.

"Exploring the Pythagorean Theorem" Pythagorean Theorem PPT courseware 6:

"Exploring the Pythagorean Theorem" Pythagorean Theorem PPT Courseware 6 Read the textbook and answer the questions (1) Observe Figure 2-1. Square 1 contains ____ small squares, that is, its area is ____ unit area. The area of ​​square 2 is ____ unit area. The area of ​​square 3 is_..

"Exploring the Pythagorean Theorem" Pythagorean Theorem PPT courseware 5:

"Exploring the Pythagorean Theorem" Pythagorean Theorem PPT Courseware 5 The specific method of independent exploration activities before class is: Ask each study group to find and understand as many methods as possible to verify the Pythagorean Theorem from the Internet or books. Analysis of the verification process. And appreciate the first type: to...

"Exploring the Pythagorean Theorem" Pythagorean Theorem PPT courseware 3:

"Exploring the Pythagorean Theorem" Pythagorean Theorem PPT courseware 3 1. Situation introduction The 2002 World Congress of Mathematicians was held in Beijing, my country. The following picture is the logo of this Congress of Mathematicians: The pattern in the center of the logo is the Zhao Shuangxian diagram, which is related to Related to the Pythagorean theorem, mathematicians once suggested using...

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Update Time: 2024-06-24

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