"Application of linear function" PPT courseware of linear function (Lesson 2)

Description

"Application of a linear function" PPT courseware of a linear function (Lesson 2), 18 pages in total.

Part One: Learning Objectives

Practical applications of linear functions

The relationship between linear functions and linear equations of one variable

Application of one-time function PPT, part 2 content: class introduction

Review old knowledge

The expression of a linear function is: y=kx+b (k, b are constants, k≠0)

2. The expression of the proportional function is: y=kx (k is a constant, k≠0)

3. What is the positional relationship between the straight line y=3x+1 and the straight line y=3x-2?

parallel

PPT on the application of linear functions, the third part: Understanding new knowledge

Knowledge points Practical applications of linear functions

1. The key to using functional methods to solve practical problems is to analyze the quantitative relationship in the problem, connect it with real life and previously learned content, abstract and sublimate the practical problem into a linear function model, that is, modeling, and then use the properties of the function to solve the problem ． There are two main types of applications of one-time functions:

(1) The relational expression of a linear function is given, and the properties of a linear function are directly applied to solve the problem;

(2) When only using language to describe or use tables and images to provide a situation of a primary function, you should first find the relational expression, and then use the properties of the function to solve the problem.

2. Key points: "Modeling" can transform practical problems into mathematical problems about linear functions. The key is to determine the relationship between the function and the independent variables, and to determine the value range of the independent variables in the actual problem.

Knowledge points: The relationship between linear functions and linear equations of one variable

Do it

As shown in the figure is the image of a certain linear function, fill in the blanks according to the image:

(1) When y=0, x=___________;

(2) The expression of this function is ____________.

Discuss

What is the connection between the linear equation of one variable 0.5x+1=0 and the linear function y=0.5x+1?

Application of linear function PPT, Part 4: Classroom exercises

It is known that the graph of the linear function y=2x+n is as shown in the figure, then the equation

The solution of 2x+n=0 is ()

A． x=1

B. x＝2/3

C. x＝－1/2

D. x=-1

(High School Entrance Exam·Suizhou) A rides a motorcycle from A to B, and B drives a car from B to A. They start at the same time and drive at a constant speed. They stop when they reach the end. Suppose the distance between A and B is s (unit: km), the time A travels is t (unit: h), the functional relationship between s and t is shown in the figure, and the following conclusions are drawn:

①1 hour after departure, A and B meet on the way;

② 1.5 hours after departure, B has traveled 60 km more than A;

③3 hours after departure, A and B arrive at the destination at the same time;

④A’s speed is half of B’s speed.

Among them, the number of correct conclusions is ()

A． 4B. 3C. 2 D. 1

Application of linear function PPT, Part 5: Class summary

Any linear equation of one variable can be transformed into the form of ax+b=0 (a, b are constants, a≠0), so solving the linear equation of one variable can be transformed into finding the corresponding independent variable when the function value of a linear function is 0. value. From the image point of view, it is equivalent to the known straight line y=ax+b, and determine the abscissa coordinate of its intersection with the x-axis. That is, "shape" questions are solved with "number", and "number" questions are solved with "shape", which fully embodies the idea of ​​combining numbers and shapes.

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Update Time: 2024-07-01

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