"Variables and Functions" First-time Function PPT Courseware 5

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"Variables and Functions" First-time Function PPT Courseware 5

Banks have stipulated corresponding interest rates for various deposit methods. The following table is the annual interest rate stipulated by the People's Bank of China for the "bump deposit and withdrawal" deposit method in August 2006:

Observe the table above and talk about how the corresponding annual interest rate y changes as the deposit period x grows.

As the deposit period x increases, the corresponding annual interest rate y also increases.

The annual interest rate y changes with the change of the deposit period x.

In the above questions, we studied some quantitative relationships, and they all describe certain laws of change. Various quantities appear here, and it is particularly noteworthy that there are some quantities whose values ​​will change.

For example, in question 1, the quantities that describe the temperature change pattern are time t and temperature T. Temperature T changes with the change of time t, and they will take different values.

Example: Write the relationships in each of the following problems and point out the constants and variables:

(1) The relationship between the circumference C and the radius r of a circle;

Solution: C=2π r

2. π is a constant, r and C are variables

(2) When a train travels at a speed of 60 kilometers/hour, the relationship between the distance S (kilometers) it travels and the time it takes t (hours);

Solution: S=60t

60 is a constant, t and S are variables

(3) The relationship between the sum of the interior angles S of an n-sided polygon and the number of sides n.

Solution: S=(n-2)×180

2. 180 is a constant, n and S are variables.

In practical problems, when writing functional expressions, you must write down the value range of the independent variables.

Test feedback

1. Give 3 examples of functional relationships encountered in daily life.

2. Point out the variables and constants in each of the following relationships:

(1) One side of the triangle is 5cm long. The relationship between its area S (cm2) and the height h (cm) on this side is:

(2) If the degree of one acute angle in a right triangle is α, then the relationship between the other acute angle β (degrees) and α is

(3) If the unit price of a certain newspaper is a yuan, and x represents the number of copies of the newspaper purchased, then the relationship between the total price y (yuan) of purchasing the newspaper and x is:

Exchange and reflection:

1. The concept of function includes: (1) two variables; (2) the correspondence between the two variables.

2. A quantity that can take on different values ​​during a certain change process is called a variable; a quantity that always remains unchanged in value is called a constant. For example, x and y, for each value of x, y has a unique value corresponding to it. We say that x is the independent variable and y is the dependent variable.

3. Three methods of expressing functional relationships: (1) analytical method; (2) list method; (3) image method

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For more information about the PPT courseware "Primary Function Variables and Functions", please click the "Primary Function ppt Variables and Functions ppt" tab.

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Update Time: 2024-09-07

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