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"Application of linear equations of one variable" PPT courseware 7
Cooperative learning
Please count how many gold medals China has won?
In the 2012 Olympic Games, the total number of medals won by our country was 87, including 27 silver medals, and the number of gold medals was 6 times less than the number of bronze medals.
(1) Can you directly list the formula to calculate the number of gold medals won by our country in the 2012 Olympic Games?
(2) If we use the method of formulating equations to solve, which number is assumed to be x?
(3) Based on what equality relationship are we formulating equations? What are the solutions of the equations?
Example 1 The ticket regulations for Hangzhou Paradise are as follows: full-price tickets for adults are 160 yuan each, half-price for children between 1.2-1.5 meters tall, and free admission for children under 1.2 meters tall. If a total of 1,200 tickets were sold at Hangzhou Paradise on a certain day, with a revenue of 160,000 yuan, how many children's tickets were sold in China on that day?
The quantities involved in the analysis question include the number of people, ticket price, and total price. The equality relationship between them is:
Number of people × fare = total fare
The price of children’s tickets =____×the price of full-price tickets
Number of full-price tickets + number of child tickets = 1200
Total fare of full-price ticket + total fare of child ticket = 160,000
What is the general process for using equations to solve real-world problems?
1. Question review: analyze the meaning of the question and find out the quantities and their relationships in the question;
2. Set the element: Choose an appropriate unknown number to represent it with a letter (for example, x);
3. List equations: List equations based on equality relationships;
4. Solve equations: find the value of the unknown;
5. Inspection: Check whether the obtained value is correct and consistent with the actual situation, and write the answer.
summary
1. The general process of using equations to solve practical problems
Review--assume--column--solve--verify
(1) The key to setting the element is:
The relevant quantity must be expressed by x
(2) List the key points of the equation:
find equality
2. The key to using equations to solve travel problems:
Find appropriate equality relationships with the help of line segment diagrams
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"Application of linear equations of one variable" PPT courseware 10:
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