"Linear functions and systems of linear equations of two variables" PPT courseware for linear functions

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"Linear functions and systems of linear equations of two variables" PPT courseware for linear functions

Mathematics around you:

Thanksgiving is here, and Xiao Ming wants to buy a gift for his mother. Malls A and B have launched special promotions to thank their customers.

All products in shopping mall A are sold at a 20% discount;

After purchasing a 10-yuan discount card in Mall B, all products are sold at a 30% discount. How does Xiao Ming choose a shopping mall to make shopping more economical?

inquiry learning

1. Draw the graph of the linear function y=x+1

2. Can you find several sets of solutions to the equation?

3. Draw the points with these sets of solutions as coordinates on the coordinate system. What did you find?

4. Are the points with coordinates of all solutions of the linear equation y-x=1 on the graph of the linear function y=x+1?

in conclusion:

The points whose coordinates are the solution of the linear equation of two variables are all on the corresponding function graph. In turn, the coordinates of the points on the graph of the linear function are the solutions of the corresponding linear equation of two variables.

That is: linear equation of two variables (number)

The corresponding graph of a linear function is a straight line (shape)

inquiry learning

(1) Draw the straight line y=-x+1 corresponding to the equation y+x=1 in the same rectangular coordinate system

Are the intersection coordinates of any two linear functions the solutions of their corresponding systems of linear equations of two variables?

Activity Three: Consolidation Practice

1. The points with the solution of equation 2x-y=1 as coordinates are all on the image of linear function y=2x-1.

2. The solution of the equation system x-y=4 3x-y=16 is x=6 y=2. It can be seen that the image of the linear function y=x+4 and y=-3x+16 must have an intersection point, and the coordinates of the intersection point are (6,2).

discussion one discussion

The solution to a system of linear equations of two variables corresponds to the coordinates of the intersection of the graphs of linear functions corresponding to these two equations.

Therefore:

Graphical solution to a system of linear equations in two variables.

Write functions, draw graphs, find intersections, and draw conclusions

Operation

Required questions:

1. Questions 6 and 8 on page 129 of the textbook.

2. The Shanghai World Expo takes "Better City, Better Life" as its theme. In response to the call, students from Class A and Class B of a certain school participated in tree planting activities. It is known that class A plants 20 trees per hour and class B plants 24 trees per hour. For some reasons, Class B didn’t start until Class A finished planting 8 trees. Which class do you think planted the most trees?

Thinking: We know that in the same plane, the positional relationship between two straight lines is to intersect and be parallel. If the two straight lines are parallel, what will happen to the solution of their corresponding system of equations? (Optional)

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"Linear functions and systems of linear equations of two variables" PPT courseware for linear functions 2:

"Linear functions and systems of linear equations of two variables" PPT courseware for linear functions 2 Summary: The relationship between linear equations of two variables and linear functions 1. Each linear equation of two variables corresponds to a linear function, so it also corresponds to a straight line; 2. Straight line The coordinates of each point on are...

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Update Time: 2024-10-02

This template belongs to Mathematics courseware People's Education Press Eighth Grade Mathematics Volume 2 industry PPT template

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