| Category | Format | Size |
|---|---|---|
| Beijing Normal University eighth grade first volume mathematics | pptx | 6 MB |
"Exploring the Pythagorean Theorem" Pythagorean Theorem PPT Courseware 6
Description
"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 ____ unit area.
(2) In Figure 2-2, how many small squares are contained in each of squares 1, 2, and 3? What is their area?
(3) Can you find any relationship between the areas of the three squares 1, 2, and 3 in the two pictures?
Apply theorem to consolidate new knowledge
For example: As shown in the figure, in order to obtain the distance between points A and B on both sides of the pond, the observer sets up a stake at point C, making △ABC a right triangle, and measures AC to be 100 meters and BC to be 80 meters. Find A and B What is the distance between two points?
Solution: As shown in the picture, according to the meaning of the question, we get
Ｒt In △ABC, ∠Ｂ＝90°
AC=100 meters, BC=80 meters, obtained from the Pythagorean Theorem
∵AB²+BC² =AC²
∴AB² =AC²-BC²=100² - 80²=60²
∴AB=60 (meter)
Answer: The distance between points A and B is 60 meters.
think about it
Xiao Ming’s mother bought a 29-inch (about 74 cm) TV. After Xiao Ming measured the TV screen, he found that the screen was only 58 cm long and 46 cm wide. He thought the salesperson must have made a mistake. Do you agree with his idea? Can you explain why this is?
What we usually call a 29-inch or 74-centimeter TV refers to the diagonal length of the screen
58²+46²=5480 74²=5476
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"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 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...
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Update Time: 2024-07-08
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