"Preliminary Understanding of Functions" PPT Courseware 2

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"Preliminary Understanding of Functions" PPT Courseware 2

【Knowledge review】

1. The relationship between the perimeter c and the side length a of a square is _________,

where the constant is ____________,

The variable is_____________.

2. If r represents the radius of the circle and S represents the area of ​​the circle, then the following relationship is satisfied between S and r: S=__________.

Using this relational expression, try to find the area of ​​a circle with a radius of 1cm, 1.5cm, 2cm, 2.6cm, and 3.2cm, and fill in the results in the table below:

learning target

1. Combined with examples, know the meaning of independent variables and functions, and be able to distinguish independent variables and functions.

2. For a given function, the value of the function can be found based on the values ​​of the independent variables.

[Learning Key Points and Difficulties]

Key Point: For a given function, the value of the function can be found based on the values ​​of the independent variables.

Difficulty: correctly distinguish independent variables and functions.

Preview effect detection

①The relationship between the following variables is not a functional relationship ( )

A. The length of one side of the rectangle is 6 cm, and the relationship between its area S cm and the length of the other side x cm

B. The relationship between the area and perimeter of a square

C. The relationship between the area and circumference of a circle

D. The relationship between the area of ​​a certain figure and the position of the plane on which it is located

②Generally, if there are two _________ in a _______________, such as x and y, for each value of x, y has a _______________ corresponding to it, we say that x is _______________, y is __________, at this time it is also said that y is __________ of x

Through the above exercises, you must know functions and independent variables? Communicate with your deskmates to find out the connections and differences between them.

Tips: 1. There must be two variables

2. Every time the independent variable takes a value, the function has a unique corresponding value.

Corresponding training:

1. The unit price of each commodity is 5 yuan each, and the relationship between its sales volume y (yuan) and the quantity of goods granted x (units) is ( ), where ( ) is a function of ( ).

2. As shown in the figure is the projectile curve of an object, where s represents the horizontal distance between the object and the projectile point, and h represents the height of the object. The variables in this figure are ( ) and ( ), where ( ) is a function of the independent variable ( ).

3. 3 exercises in the textbook.

Self-study requirements: Self-study the content on page 117 of the textbook and clarify the following questions:

1. What is a function value?

2. How to find the function value?

3. What do s and n in Example 1 represent? What is the functional relationship between them?

4. In the graph with the serial number 100, what does 100 represent in the functional relationship?

Learning summary

1. What knowledge have you learned? What should we pay attention to?

2. What experience did you have during the learning process?

Classroom testing station

1. Give three examples of functional relationships encountered in daily life.

Answer: (1)_______________________________;

(2)____________________________________;

(3)______________________________.

2. In the function y=-3x +7, when x=2, the function value is ( )

A． 3B． 2C. 1 D． 0

3. Write the following functional relationship expressions and indicate the independent variables and functions.

A car leaves Nanjing and drives on the highway to Shanghai at a speed of 120km/h. The distance from Nanjing to Shanghai is about 270km. Then the functional relationship between the distance s of the car from Shanghai and the driving time t;

4. Print a rectangular poster (as shown in Figure 17-5). Its printing area is 1dm at the top and bottom, and 0.5dm at both sides. Assume that the length of the printed part from top to bottom is x dm, and the surrounding blank area is For S, find the functional relationship between S and x, and find the value of S when x=8dm.

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"Preliminary Understanding of Functions" PPT courseware 4:

"Preliminary Understanding of Functions" PPT Courseware 4 Learning Objectives 1. Combined with examples, know the meaning of independent variables and functions, and be able to distinguish independent variables and functions. 2. For a given function, be able to find the value of the function based on the value of the independent variable . [Learning Key Points and Difficulties] Key Points: Right...

"Preliminary Understanding of Functions" PPT courseware 3:

"Preliminary Understanding of Functions" PPT courseware 3 Knowledge point review: Knowledge point 1: Use letters to represent numbers. Using letters to represent numbers can concisely express _____ and ________, thus making it easier to describe and research problems. Note: (1) When multiplying letters by letters...

"Preliminary Understanding of Functions" PPT courseware:

"Preliminary Understanding of Functions" PPT courseware [Knowledge Review] 1. The relationship between the perimeter c and the side length a of a square is ____________, where the constant is ____________ and the variable is ______________. 2. If r is used to represent the radius of a circle , S represents the area of ​​the circle..

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Update Time: 2024-10-30

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

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