"Fractional Equations" PPT courseware

Description

"Fractional Equations" PPT courseware

Scenario import

The maximum speed of a ship in still water is 20 kilometers per hour. The time it takes for it to sail 100 kilometers downstream at its maximum speed is equal to the time it takes to sail 60 kilometers upstream at its maximum speed. What is the flow speed of the river?

Solution: Assume the flow speed of the river is v kilometers/hour. According to the meaning of the question, we get

100/20+v=60/20-v

Think: What are the differences between the equations listed and those you have learned before?

Concept improvement

100/20+v=60/20-v

An equation like this that contains an unknown number in the denominator is called a fractional equation.

The equations we learned before that do not contain unknown numbers in the denominator are called integral equations.

Definition of rooting

Root augmentation: roots that appear in the process of removing the denominator and converting a fractional equation into an integer equation that are not suitable for the original equation.

The root whose simplest common denominator is zero

What do you think are the common mistakes that are made when solving fractional equations?

(1) When removing the denominator, the integral part of the original equation is missing multiplication.

(2) After removing the denominator, when the numerator is a polynomial, no attention is paid to adding parentheses. (Because the fraction line has the function of parentheses)

(3) Increase the roots and never give them up.

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"Applications of Fractional Equations" PPT courseware 3:

"Applications of Fractional Equations" PPT Courseware 3 Review Review 1. Concept of fractional equations An equation containing an unknown number in the denominator is called a fractional equation. 2. Problem-solving ideas for solving fractional equations 3. Problem-solving steps for solving fractional equations Learning objectives: 1. Be able to analyze the meaning of the problem and find equivalent quantities..

"Applications of Fractional Equations" PPT courseware 2:

"Application of Fractional Equations" PPT Courseware 2 Quote: A and B are making certain machine parts. It is known that A makes 6 more parts per hour than B. The time it takes A to make 90 parts is the same as the time it takes B to make 60 parts. If the time is equal, how many parts can A and B each make per hour? equal amount..

"Applications of Fractional Equations" PPT courseware:

Summary of the "Applications of Fractional Equations" PPT courseware: Steps and methods for solving application problems with column fraction equations: 1. Review, set up, list, solve, test, and answer 2. Find equivalent relationships Summary Summary of solving column fraction equations General steps and precautions for application questions: (1) Question review:..

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Update Time: 2024-11-20

This template belongs to Mathematics courseware Hebei Education Edition Eighth Grade Mathematics Volume 1 industry PPT template

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