"Exploring the Pythagorean Theorem" Pythagorean Theorem PPT Courseware 5

Description

"Exploring the Pythagorean Theorem" Pythagorean Theorem PPT Courseware 5

Pre-class independent inquiry activities

The specific method 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 and Appreciation of the Verification Process

The first type: represented by Zhao Shuang's "string diagram", which uses the truncation, cutting, spelling and complement of geometric figures to prove the identity relationship between algebraic expressions;

The second type: represented by Euclidean's proof method, using the basic theorems of Euclidean geometry to prove;

The third type: represented by Liu Hui's "Green and Zhu Entrance and Exit Picture", "proof without words".

The cultural value of the Pythagorean theorem

(1) The Pythagorean theorem is the first theorem connecting numbers and shapes in mathematics.

(2) The Pythagorean Theorem reflects the basic laws of nature, and all civilized "people" in the universe should know it. Therefore, the Pythagorean Theorem diagram is suggested to be a signal for contact with "aliens".

(3) The Pythagorean theorem led to the discovery of incommensurable quantities and triggered the first mathematical crisis.

(4) The Pythagorean theorem formula is the first indefinite equation and sets a paradigm for the problem-solving procedure of indefinite equations.

Topic expansion

(1) Keep a mathematical diary and use your intelligence to explore and study the Pythagorean Theorem. What new discoveries have you made?

(2) Try to use the method of the famous Italian painter Leonardo da Vinci to verify the Pythagorean Theorem?

Keywords: Pythagorean Theorem courseware, Exploring the Pythagorean Theorem courseware, Beijing Normal University edition eighth grade mathematics first volume PPT courseware, 8th grade mathematics slide courseware download, Pythagorean Theorem PPT courseware download, Exploring the Pythagorean Theorem PPT courseware download, .ppt Format

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 4:

"Exploring the Pythagorean Theorem" Pythagorean Theorem PPT Courseware 4 Question Situation 1. In the last class, we have obtained the Pythagorean Theorem through exploration. 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. You...

"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...

File Info

Update Time: 2024-10-03

This template belongs to Mathematics courseware Beijing Normal University eighth grade first volume mathematics industry PPT template

Preview