"Application of Quadratic Equations of One Variable" PPT Courseware 3

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"Application of Quadratic Equations of One Variable" PPT Courseware 3

I am the best designer

Example 1: There is a rectangular iron piece 40m long and 30m wide. Cut off a congruent small square around it, then fold it into a rectangular box without a lid, and make the bottom area half of the original rectangular area. .

My design plan is as shown in the picture. The key is to find the length and width of the bottom surface

Can you help me find the height of the box in m by solving the equation?

Do it

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 width of the lace is xm, according to the question, we get

(8-2x) (5-2x) =18. That is 2x2-13x+11=0.

Summary Expand

Through the analysis of the examples in this lesson, what old knowledge have you reviewed?

Steps for solving word problems using column equations: first trial; second hypothesis; third column; fourth solution; fifth test; sixth answer.

independent work

1. A farm wants to build a rectangular chicken farm. One side of the chicken farm is against the wall (the wall is 25m long), and the other three sides are surrounded by wooden fences, which are 40m long.

(1) Can the area of ​​the chicken farm reach 180m2?

(2) Can the area of ​​the chicken farm reach 200m2?

(3) Can the area of ​​the chicken farm reach 250m2?

If it is possible, please give the design plan; if not, please explain the reason.

2. A farm wants to build a rectangular chicken farm. One side of the chicken farm is against the wall (the wall is 25m long), and the other three sides are surrounded by wooden fences, which are 40m long.

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For more information about the "Applications of Quadratic Equations" PPT courseware, please click on the "Applications of Quadratic Equations ppt" tab.

"Applications of Quadratic Equations of One Variable" PPT courseware 4:

"Applications of Quadratic Equations" PPT Courseware 4 Review and Review We obtain the roots of quadratic equations by completing the square method. This method of solving quadratic equations is called solving by completing the square. ) using the matching method..

"Applications of Quadratic Equations of One Variable" PPT courseware 2:

"Applications of Quadratic Equations" PPT Courseware 2 Review and Review 1 The general steps for solving word problems using a series of equations are: 1. Review: Review the meaning of the question: What is known and what is required? What is the relationship between the known and unknown? 2 . Assume: Assume that the unknown number statement must be complete and have the same unit (the same). The unit must be specified...

"Applications of Quadratic Equations of One Variable" PPT courseware:

"Applications of Quadratic Equations" PPT courseware. What are the steps to solve word problems using equations? (1) Examination: refers to reading the question, clarifying the meaning of the question, clarifying which quantities are known, which are unknown quantities, and what the question requires; (2) Finding: looking for the equivalent relationship, that is, what is given in the question..

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Update Time: 2024-07-03

This template belongs to Mathematics courseware Qingdao Edition Ninth Grade Mathematics Volume 1 industry PPT template

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