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Authoritative PPT Summary
"The Meaning of Inverse Proportion" PPT
Part One: Review
Are the two quantities in the table below directly proportional? Why?
The number of exercise books purchased and the total price are two related quantities. They have the following relationship with the unit price of each exercise book:
Total price/number of exercise books purchased = unit price of each exercise book
It is known that the unit price of each exercise book is constant, that is, the ratio of the total price to the number of exercise books purchased is certain, so the total price is directly proportional to the number of exercise books purchased.
What are the characteristics of proportional quantities?
(1) Two related quantities. When one quantity changes, the other quantity also changes.
(2) The ratio of the two corresponding numbers in the two quantities is certain.
The meaning of inverse proportion PPT, part 2: summary
Huafeng Machinery Factory processes a batch of machine parts. The quantity processed per hour and the required processing time are as follows.
The quantity processed per hour and the processing time are two related quantities. When the quantity processed per hour changes, the processing time also changes. The law of their expansion or contraction is: the quantity processed per hour and the required processing time. The product of is certain.
Quantity processed per hour × processing time = total number of parts (certain)
The meaning of inverse proportion PPT, the third part: examples
The same exercise book is bound with 600 sheets of paper. What is the relationship between the number of sheets in each book and the number of bound books? Please fill in the form below first.
(1) What two quantities are in the table? Is it a related quantity?
There are two quantities in the table: the number of sheets per book and the number of bound books.
(2) How does the number of bound volumes change with the number of sheets in each volume?
The number of sheets in each volume increases, while the number of bound volumes shrinks;
The number of sheets in each book is reduced, and the number of bound books is increased.
The meaning of inverse proportion PPT, part 4 content: Do it
To transport a batch of goods, the daily tonnage and the number of days required are as follows.
Answer the following questions based on the table.
(1) What two quantities are in the table? Are they related quantities?
There are two quantities in the table: the number of tons transported per day and the number of days required.
They are related quantities.
(2) Write several sets of products of two numbers corresponding to these two quantities, and compare the sizes of the products.
(3) Explain the meaning of this product.
The meaning of this product is the total tonnage of this batch of goods.
(4) Are the two quantities associated in the table inversely proportional? Why?
Decide whether the two quantities in each question below are inversely proportional and explain why.
(1) The total amount of coal is certain, the amount of coal burned every day and the number of days it can be burned.
(2) The total amount of seeds, the sowing amount per hectare and the number of hectares sown are fixed.
(3) Uncle Li’s riding speed and time from home to factory.
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