"Application of Pythagorean Theorem" Pythagorean Theorem PPT Courseware 3

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"Application of Pythagorean Theorem" Pythagorean Theorem PPT Courseware 3

Pythagorean theorem

The sum of the squares of the two right-angled sides of a right triangle is equal to the square of the hypotenuse.

∵ In Rt△ABC, ∠C=90º

∴ BC2+AC2=AB2

Question one

A ladder AB of length 10m is leaning against the wall and length AC is 8m.

In ⑴, if the top A of the ladder slides 2m, how many meters does the bottom B slide?

(2)(Some people say that during the sliding process, the sliding distance of the bottom of the ladder and the sliding distance of the top are always the same. Do you agree?

Question 2

The problem of breaking bamboo in "Nine Chapters of Arithmetic": "Now there is a bamboo that is one foot high. It is broken to the ground and the roots are six feet away. What is the height of the broken bamboo?"

The meaning of the question is: There is a bamboo that is originally 1 feet high (1 feet = 10 feet). It is broken in the middle. The point where the bamboo tip touches the ground is 6 feet away from the bamboo root. How high is the broken point from the ground?

Question 4

(1) As shown in the picture, there is a cube box with an edge length of 10cm. Xiao Ming is going to put some pencils in (to make the pencils completely fit into the box). What is the longest pencil length that can be put in?

(2) In the picture, if there is an insect at point A in a cube box, how far must it crawl on the wall of the box to point B?

Question 5

As shown in the figure: The Meteorological Observatory in City A measured that the center of the typhoon was at B, 320 km due west of City A, moving in the BF direction of 60° north-east at a speed of 40 km per hour. The area 200 km away from the typhoon center was affected by Areas affected by typhoons.

(1) Will City A be affected by this typhoon? Why?

(2) If City A is affected by this typhoon, how long will it take for City A to be affected by this typhoon?

Harvested little by little, like countless treasures

The Pythagorean Theorem is one of the most important theorems in geometry. It reveals the quantitative relationship between the three sides of a right triangle.

In a right triangle, ① if you know any two sides, you can find the length of the third side according to the Pythagorean theorem. ② If you know the relationship between one side and the two sides, you can find the length of both sides.

Consider the problem comprehensively and establish a mathematical model accurately

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

"Application of the Pythagorean Theorem" PPT Courseware 2 of the Pythagorean Theorem:

"Application of the Pythagorean Theorem" Pythagorean Theorem PPT Courseware 2 Review: (1) Contents of the Pythagorean Theorem: (2) Application of the Pythagorean Theorem: ① Given two sides, find the third side; ② Given one side and an acute angle ( 30, 60, 45 special angles), find the remaining side lengths; ③ Given a...

"Application of the Pythagorean Theorem" PPT courseware on the Pythagorean Theorem:

"Application of the Pythagorean Theorem" Pythagorean Theorem PPT courseware classroom exercises: A true or false question. 1. If both sides of ABC are AB=5AC=12, then BC=13 ( ) 2. If ABC is a=6b=8, then c=10 ( ) Two fill-in-the-blank questions 1. In ABC, C=90 (1) If c=10a:b=3:4, then a=____b=___. (2)..

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Update Time: 2024-07-26

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