"Primary Function" PPT courseware download

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"Primary Function" PPT courseware download

Part One: Content Import

Generally, in a certain change process, there are two variables x and y. If a value of x is given, a value of y can be determined accordingly. Then, we say that y is a function of x.

In other words, functions are mathematical models that describe the relationship between variables. These models come in many forms, the simplest of which is a linear function.

try to do it

A newly built community charges property management fees based on the homeowner's housing area, at a monthly rate of 1.60 yuan/m2, and a monthly garage usage fee of 80 yuan for homeowners with cars. The housing area of ​​the homeowner with a car is x m2, the monthly property management fee and garage usage fee payable total y yuan. Please write the functional relationship between y and x: y=1.60x+80.

The distance from Xiaogang's home to school is 3.5km. He rides a bicycle to school every day at a speed of 0.2km/min.

On the way to school, the functional relationship between Xiaogang’s distance s1 (km) from home and the time he left home t (min) is s1=0.2t.

On the way to school, the functional relationship between Xiaogang’s distance from school s2 (km) and the time t (min) when he left home is s2=3.5-0.2t.

One-time function PPT, part 2: definition

If the functional relationship between two independent variables x and y can be expressed in the form of y=kx+b (k, b are constants and k is not 0), then y is said to be a linear function of x. In particular, When b=0, the linear function becomes y=kx (k is a constant and k is not 0). At this time, y is called a proportional function of x.

Thinking: What is the relationship between a linear function and a proportional function?

y=1.60x+80 s1=0.2t s2=3.5-0.2t

1. Among the three functions obtained above, which ones are linear functions and which ones are proportional functions?

2. Please write down the expressions of two linear functions, one of which is a proportional function, and communicate with your classmates.

One-time function PPT, the third part: think about it

1. Among the functions ①y=2-x, ②y=8+0.03t, ③y=1+x+1/x, ④y=x+3/x, there are _________ that are linear functions.

2. If the perimeter of an isosceles triangle is 20cm and the base length is xcm, then what is the functional relationship between the waist length y (cm) and the base length x (cm)? Is this function a one-time function?

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for eighth grade volume 2, one-time function PPT download, .PPT format;

For more information about the PPT courseware "Linear Function", please click the "Linear Function ppt" tab.

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Update Time: 2024-07-05

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