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People's Education High School Mathematics Edition B Compulsory Course 2
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Category | Format | Size |
---|---|---|
People's Education Press Eighth Grade Mathematics Volume 2 | pptx | 6 MB |
Description
"Pythagorean Theorem" PPT courseware 4
For an isosceles right triangle, the sum of the squares of the two straight sides is equal to the square of the hypotenuse.
So does a general right triangle also have this property?
Please draw an arbitrary right triangle, measure it, and do the calculations.
Proposition 1: If the lengths of the two right-angled sides of a right triangle are a and b respectively, and the length of the hypotenuse is c, then a2+b2=c2.
Theorem: A proposition that is proved to be true is called a theorem.
Pythagorean theorem: If the length of the two right-angled sides of a right triangle
They are a and b respectively, and the hypotenuse is c, then a2+b2=c2.
As shown in the figure, in Rt△ABC, ∠C=90°, then a2 +b2 =c2
Commonly used Pythagorean numbers: 3, 4, 5;
6, 8, 10;
5, 12, 13;
7, 24, 25.
Various expressions of the Pythagorean Theorem:
In RT△ABC, ∠C=90°, the opposite sides of ∠A, ∠B, and ∠C are a, b, and c respectively, then:
Standardized use
Example 1 The plane was flying horizontally in the air. At a certain moment, it happened to fly 3 kilometers above the head of a boy. After 20 seconds, the plane was 5 kilometers above the head of the boy. How many kilometers did the plane fly during this process?
1. Fill in the blanks:
1) In a right triangle, the two right-angled sides are a and b, and the hypotenuse is c, then c2=____
2) In RT△ABC, ∠C=90°,
⑴If a=4,b=3, then c=____
⑵If c=13, b=5, then a=____
⑶ If c=17,a=8, then b=____
(3) The side length of an equilateral triangle is 12, then its height is ______
(4) In a right triangle, if two sides are 3 and 4, then the other side is _________
Class summary
1) What did we learn in this lesson? Pythagorean Theorem
2) Using the Pythagorean theorem, if the lengths of two sides of a right triangle are known, the other side can be found according to the conditions
3) Understand how to prove the Pythagorean Theorem using the area method
Keywords: Pythagorean Theorem teaching courseware, New People's Education Edition eighth grade mathematics volume 2 PPT courseware, eighth grade mathematics slide courseware download, Pythagorean Theorem PPT courseware download, .ppt format
For more information about the "Pythagorean Theorem" PPT courseware, please click on the Pythagorean Theorem ppt tab.
"Pythagorean Theorem" PPT courseware 9:
"Pythagorean Theorem" PPT courseware 9 Take a look at Pythagoras, a famous mathematician in ancient Greece before 2005. One day he discovered that the brick-paved floor of a friend's house reflected some kind of pattern on the three sides of an isosceles right triangle. What is the relationship between the areas of quantity A, B, and C? SA+SB..
"Pythagorean Theorem" PPT courseware 8:
"Pythagorean Theorem" PPT courseware 8 Learning objectives 1. Knowledge and skills Master the quantitative relationship reflected by the Pythagorean theorem; be able to use the puzzle method and area method to prove the Pythagorean theorem; learn to use the Pythagorean theorem in daily life practice. 2. Process and methods Inductive verification through observation and conjecture..
"The Converse Theorem of the Pythagorean Theorem" PPT courseware 3:
"The Converse Theorem of the Pythagorean Theorem" PPT courseware 3 1. Knowledge connection: Question 1. Can you tell what are the characteristics of a right triangle? (1) One angle is a right angle: (2) The right-angled side of 30 degrees is equal to the slope Half of the side; (3) Pythagorean Theorem: The sum of the squares of two right-angled sides is equal to the hypotenuse..
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Update Time: 2024-09-04
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