"Application of linear equations of one variable - chasing Xiao Ming" PPT teaching courseware of linear equations of one variable

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"Application of linear equations of one variable - chasing Xiao Ming" PPT teaching courseware of linear equations of one variable

Part One: Introduction of New Knowledge

The relationship between speed, distance and time

think about it

1. The relationship between speed, time and distance in the itinerary problem is: distance = ________×________.

2. Itinerary problems are divided into two categories: one is ____________; the other is ____________. Analyze the meaning of the question with the help of "line segment diagram", find out the equivalent relationship, list the equation correctly and solve it.

Apply linear equations of one variable to catch up with Xiao Ming’s PPT, part 2: new knowledge explanation

Example 1. Xiao Ming has to go to school 1,000 meters away from home before 7:50 every morning. One day, Xiao Ming set off at a speed of 80 meters/minute. Five minutes later, Xiao Ming’s father discovered that he had forgotten to bring his math book. So, Dad immediately chased Xiao Ming at a speed of 180 meters/min, and caught up with him on the way. Asked Dad how long it took to catch up with Xiao Ming?

Suppose it took x minutes for dad to catch up with Xiao Ming

Then there is: 5×80+80x=180x

Solution:x=4

Example 2 It is known that the speed of the ship in still water is 24 kilometers/hour, and the speed of the water flow is 2 kilometers/hour. It takes 24 hours for the ship to travel back and forth between places A and B.

What is the distance between places A and B?

Analysis: This question is an itinerary problem, so there are:

Distance = average speed × time;

Time = distance ÷ average speed.

But when it comes to water flow speed, you must master:

Speed ​​along the current = boat speed + water speed;

Speed ​​against the current = boat speed - water speed.

Apply linear equations of one variable to catch up with Xiao Ming’s PPT, part three: classroom exercises

1. Xiao Ming and Xiao Gang walk towards each other from two places 25.2 kilometers apart at the same time. Xiao Ming walks 4 kilometers per hour. They meet after 3 hours. Let Xiao Gang’s speed be x kilometers/hour.

The equation is ( )

A. 4+3x＝25.2　B． 3×4+x=25.2

C． 3(4+x)=25.2 D. 3(x-4)=25.2

2. A 30-meter-long team moves forward at a speed of 60 meters per minute. A student at the end of the team takes 1 minute to walk from the end of the team to the front. The distance traveled by this student is ____ meters, and the speed is _ ___m/min.

3. An airplane flies between two cities. The wind speed is 24 kilometers/hour. It takes 2 hours and 50 minutes to fly with the wind and 3 hours to fly against the wind.

Find the flight speed of the airplane and the distance between the two cities when there is no wind.

Apply linear equations of one variable to catch up with Xiao Ming’s PPT, part 4: expand and improve

The distance between A and B is 360 km. Car A departs from A to B, traveling 72 km per hour. 25 minutes after car A departs, car B departs from B to A, traveling every hour. 48 km.

(1) How many hours will it take for the two cars to meet?

(2) After the two vehicles met, each continued to drive at the original speed and direction. So after the encounter, when the distance between the two vehicles was 100 km, how many hours did vehicle A travel from the starting point?

Apply linear equations of one variable to catch up with Xiao Ming’s PPT, part 5: Class summary

Basic steps to resolve travel issues:

1. Known conditions of the problem

2. Draw a line segment diagram

3. Find the equivalent relationship

4. Make equations and solve them

5. Inspection

6. Answer

Keywords: Beijing Normal University Edition seventh-grade mathematics PPT courseware free download, application of linear equations of one variable to catch up with Xiao Ming PPT download, linear equations of one variable PPT download, .PPT format;

For more information about the PPT courseware "Catching up with Xiao Ming using linear equations of one variable and applying linear equations of one variable", please click on the PPT tag of "Catching up with Xiao Ming using linear equations of one variable PPT".

"Application of linear equations of one variable - chasing Xiao Ming" PPT courseware download of linear equations of one variable:

"Catching up with Xiao Ming by applying linear equations" PPT courseware download of linear equations Part 1: Knowledge points Basic knowledge point 1 Opposing encounter problem 1. The distance between two stations AB is 335 km. A slow train runs from station A to station B every hour. 55 km slow train driving for 1 hour..

"Application of linear equations of one variable - chasing Xiao Ming" PPT download of linear equations of one variable:

"Applying linear equations of one variable to catch up with Xiao Ming" PPT download of linear equations of one variable The first part of the content: Learning objectives 1. Learn to use line segment diagrams to analyze travel problems, find equivalent relationships, and establish mathematical models. (Difficulty) 2. Be able to use the speed, Distance, time...

"Application of linear equations of one variable - chasing Xiao Ming" PPT of linear equations of one variable:

"Catching up with Xiao Ming by applying linear equations of one variable" PPT on linear equations of one variable Part 1: Learning objectives 1. Be able to analyze quantitative relationships in complex problems with the help of line segment diagrams, so as to list equations and solve problems. 2. Be familiar with the relationship between distance, speed and time in itinerary problems..

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Update Time: 2024-10-05

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