"Fractional Equations" Fractions and Fractional Equations PPT (Lesson 1)

Description

"Fractional Equations" Fractions and Fractional Equations PPT (Lesson 1), 21 pages in total.

learning target

Understand the meaning of fractional equations.

Be able to analyze practical problems and formulate fractional equations based on the meaning of the problem.

activity exploration

Explore point one

Question 1: Places A and B are 1,400km apart. Taking a high-speed train from place A to place B takes 9 hours less than taking an express train. It is known that the average traveling speed of high-speed trains is 2.8 times that of express trains.

(1) Is there any equivalent relationship between speed, time and distance?

What is the quantitative relationship between the time it takes to take a high-speed rail train and the time it takes to take an express train?

What is the quantitative relationship between the average speed of high-speed rail trains and the average speed of iron block trains?

Question 2: In order to help rebuild homes in areas hit by natural disasters, a school called on students to donate voluntarily. It is known that the total donation from seventh grade students was 4,800 yuan, and the total donation from eighth grade students was 5,000 yuan. The number of donations from eighth grade students was 20 more than that from seventh grade students. , and the per capita donations of the two grades are exactly equal.

intensive training

1. There are two wheat experimental fields with the same area. The first field uses the original variety and the second field uses the new variety. 9000kg and 15000kg of wheat are harvested respectively. It is known that the yield per hectare of the first experimental field is 3000kg less than that of the second experimental field. Find the yield per hectare of the two experimental fields respectively.

(1) Can you find all equivalence relations for this problem?

(2) If the yield per hectare of the first experimental field is x kg, then the yield per hectare of the second experimental field is ______ kg,

(3) The area of ​​the first experimental field is ______ hectares, and the area of ​​the second experimental field is ______ hectares.

2. There are two roads from point A to point B: one is an ordinary highway with a total length of 600km, and the other is a highway with a total length of 480km. The average speed of a certain passenger bus on the highway is 45km/h faster than on the ordinary highway. h, the time required by the expressway from point A to point B is half of the time required by the ordinary highway from point A to point B. Find the time required by the passenger car from point A to point B by the expressway.

In-class testing

1. Places A and B are 5 kilometers apart. A car traveling from A to B with a speed of v kilometers/hour can arrive on time. If the car travels more kilometers per hour, the car will arrive __________ hours earlier.

2. Students in classes A and B participate in afforestation. It is known that class A plants 5 more trees every day than class B. The number of days it takes class A to plant 80 trees is equal to the number of days it takes class B to plant 70 trees. If Class A plants x trees every day, the equation listed according to the meaning of the question is ( )

Class summary

1. Fractional equation: An equation with an unknown number in the denominator is called a fractional equation.

Characteristics: (1) The algebraic expression in the equation is a fraction or an integer; (2) The denominator contains unknown numbers.

2. Formulate fractional equations based on actual problems.

Keywords: Free download of Beijing Normal University Edition eighth grade mathematics PPT courseware for the second volume, fractional equations PPT download, fractions and fractional equations PPT download, .PPT format;

For more information about the "Fractional Equations Fractions and Fractional Equations" PPT courseware, please click the Fractional Equations PPT Fractions and Fractional Equations PPT tab.

"Fractional Equations" Fractions and Fractional Equations PPT (Lesson 3):

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"Fractional Equations" Fractions and Fractional Equations PPT (Lesson 2):

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Update Time: 2024-11-21

This template belongs to Mathematics courseware Beijing Normal University Edition Eighth Grade Mathematics Volume 2 industry PPT template

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