"Practical Problems and Quadratic Equations of One Variable" PPT Courseware of Quadratic Equations of One Variable

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"Practical Problems and Quadratic Equations of One Variable" PPT Courseware of Quadratic Equations of One Variable

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"Practical Problems and Quadratic Equations of One Variable" PPT Courseware of Quadratic Equations of One Variable

teaching objectives:

1. Be able to solve word problems using quadratic equations of one variable;

2. Further master the steps and keys to solving word problems;

3. Through multiple solutions to one problem, students can understand the essence of formulating equations and develop the ability to deal with problems flexibly.

Focus: Solve word problems using equations.

Difficulty: Be able to use algebraic expressions containing unknowns to express the intermediate quantities in the question (referred to as relational expressions); be able to list corresponding equations based on the unknowns with different meanings.

1. Review What are the general steps for solving word problems using equations?

Step 1: Understand the meaning of the question and the known and unknown numbers in the question, and use letters to represent an unknown number in the question;

Step 2: Find the equality relationship that can express the full meaning of the word problem;

Step 3: List the required algebraic expressions (referred to as relational expressions) based on these equality relationships to formulate equations;

Step 4: Solve this equation and find the value of the unknown;

Step 5: After checking whether the obtained answer number is consistent with the actual meaning of the application question, write the answer (and the name of the unit).

Typical exercises

1. A two-digit single-digit number is 1 greater than the tens-digit number. The two-digit number obtained after swapping the ones-digit number and the tens-digit number is 9 greater than the original number. Find: This two-digit number

2. The original price of a product is 200 yuan and after two price reductions, it is 162 yuan. Find: the average price reduction percentage

3. A certain class of students gave each other 182 gifts during Christmas. Find the number of people in this class.

4. A certain school held a table tennis round-robin competition, with a total of 55 games. Question: How many students participated?

5. A student is doing mountain climbing training. The speed of going up the mountain is 2 kilometers/hour and the speed of going down the mountain is 6 kilometers/hour. Find: the average speed of a round trip.

Classroom exercises: Solve the following word problems using equations

1. The student union is preparing to hold a photography exhibition. Each rectangular photo with a length and width of 18 cm and 12 cm is inlaid with a circle of equal-width colored paper around it. After testing, it is more beautiful when the colored paper area is 2/3 of the photo area. Find the width of the colored paper strips. (accurate to 0.1 cm)

2. Build four mutually perpendicular "well"-shaped roads of the same width on a rectangular ground 20 meters wide and 32 meters long (as shown in the picture). The remaining part should be used as a green space. The green space area should be 448 square meters and the road width should be How many?

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For more information about the "Practical Problems of Quadratic Equations and Quadratic Equations" PPT courseware, please click the "Practical Problems of Quadratic Equations ppt and Quadratic Equations ppt" tag.

"Practical Problems and Quadratic Equations" Quadratic Equations PPT Courseware 3:

"Practical Problems and Quadratic Equations" Quadratic Equations PPT Courseware 3 Try to explore, cooperate and communicate, and solve problems 1. Doubling, how do you understand it? (Doubling it is twice the original net income. If the original value is 1, then the value after two years will be 2) 2..

"Practical Problems and Quadratic Equations" Quadratic Equations PPT Courseware 2:

"Practical Problems and Quadratic Equations" Quadratic Equations PPT Courseware 2 Two years ago, the cost of producing 1 ton of Class A drugs was 5,000 yuan. The cost of producing 1 ton of Class B drugs was 6,000 yuan. With the advancement of production technology, 1 The cost of producing 1 ton of Class A drugs is 3,000 yuan..

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Update Time: 2024-10-15

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