"Fractional Equations" PPT courseware 2

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"Fractional Equations" PPT courseware 2

Understand new equations

1. The ratio of two adjacent even numbers is 5:6. Find these two even numbers.

2. The distance between Xiaohong’s home and school is 38km. Xiaohong always takes the bus from home to school, and then walks 2km to school after getting off the bus. The journey time is 1h. It is known that the speed of the bus is Xiaohong’s walking speed. 9 times. Find Xiaohong’s walking speed.

[Definition of fractional equation]

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

the difference

There are no unknowns in the denominator of an integral equation.

Fractional equations contain unknown numbers in the denominator.

Let's observe the process of removing the denominator

If both sides of the equation are multiplied by an expression other than 0, the solution to the integral equation is the same as the solution to the fractional equation.

If both sides of the equation are multiplied by an expression equal to 0, the solution of the resulting integral equation will have the denominator equal to 0. The solution of this integral equation is not the solution of the original fractional equation.

What steps are generally required to solve fractional equations?

①Remove the denominator and turn it into an integral equation.

②Solve the integral equation.

③Inspection.

Substitute the value of the unknown number into the simplest common denominator and see if the result is zero. If the result is not 0, it means that this root is the root of the original equation; if the result is 0, it means that this root is an augmented root of the original equation and must be discarded.

④Conclusion: Determine the solution of the fractional equation.

【summary】

What knowledge did you learn in this lesson? What to pay attention to?

What experience did you have during the learning process?

According to the rules you discovered

(1) Write the nth formula _______,

(2) Calculate using rules: 1/x(x-1)+1/(x-1)(x-2)+1/(x-2)(x-3)

(3) Use rules to solve equations: 1/x+2+1/x(x+1)+1/(x+1)(x+2)=1

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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: 2024-07-02

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