"Understanding quadratic equations of one variable" Quadratic equations PPT courseware 3

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"Understanding quadratic equations of one variable" Quadratic equations PPT courseware 3

The rectangular floor of the kindergarten activity classroom is 8 meters long and 5 meters wide. Now we are going to lay a carpet with an area of ​​18m2 in the middle of the floor. The width of the uncarpeted strip areas around it is the same.

Observe the following equation:

10²+11²+12²＝13²+14²

Can you find five other consecutive integers such that the sum of the squares of the first three numbers is equal to the sum of the squares of the last two numbers?

If the first number among five consecutive integers is x, then the following four numbers can be expressed as: X+1, X+2, X+3, X+4

According to the meaning of the question, the equation can be obtained:

X²+(X+1)²+(X+ 2)²＝(X+3)²+(X+4)²

Let ax² + bx + c = 0 (a, b, c are constants, a≠0) called the general form of a quadratic equation of one variable, where ax², bx and c are called quadratic terms, linear terms and constant terms respectively, a and b are respectively They are called quadratic term coefficients and linear term coefficients.

1. Convert the equation (3x+2)²=4(x-3)² into the general form of a quadratic equation, and write down its quadratic term coefficient, linear term coefficient and constant term.

2. Once upon a time, a drunkard entered the house with a bamboo pole. He couldn't get in even if he held it horizontally or vertically. It was 4 feet wider than the door frame horizontally and 2 feet taller than the door frame vertically. Another drunkard taught him to follow the two opposite sides of the door. Holding the pole at an angle, the drunkard tried it and got in just right. Do you know how long the bamboo pole is? Please formulate an equation based on this problem.

What new knowledge did you learn in this lesson?

1. Learn what a quadratic equation is, its general form ax²+bx+c=0 (a, b, c are constants, a≠0) and related concepts, such as quadratic terms, linear terms, constant terms, and quadratic terms. Coefficient, linear term coefficient.

2. Be able to use quadratic equations to express quantitative relationships in real life.

Keywords: teaching courseware for quadratic equations, teaching courseware for understanding quadratic equations, Beijing Normal University edition ninth grade mathematics volume 1 PPT courseware, downloading ninth grade mathematics slide courseware, downloading PPT courseware for quadratic equations, understanding quadratic equations PPT courseware download, .ppt format

For more information about the PPT courseware "Quadratic Equations of One Variable and Understanding Quadratic Equations of One Variable", please click the "Quadratic Equations of One Variable Equations ppt Understanding Quadratic Equations of One Variable" ppt tag.

"Understanding quadratic equations of one variable" Quadratic equations PPT courseware 4:

"Understanding Quadratic Equations" Quadratic Equations PPT Courseware 4 1. Review Review For the quadratic equation (1) (8-2x) (5-2x)=18, that is: 2x2-13x+11=0; (2 )(x+6)2+72=102 That is: x2+12x-15=0. Can you find x in the equation separately? ..

"Understanding quadratic equations of one variable" Quadratic equations PPT courseware 2:

"Understanding Quadratic Equations" Quadratic Equations PPT Courseware 2 Review and Thinking Can you make certain decisions based on the sales profits of goods? Like linear equations and fractional equations, quadratic equations are also an effective way to describe the real world. mathematical model. ..

"Understanding quadratic equations of one variable" PPT courseware of quadratic equations of one variable:

"Understanding Quadratic Equations" PPT Courseware for Quadratic Equations Question 1 A carpet surrounded by lace of equal width is as shown below. Its length is 8m and its width is 5m. If the area of ​​the rectangular pattern in the center of the carpet is 18m2, how wide is the lace? Solution: If the lace...

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Update Time: 2024-07-02

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