Inverse proportion: two related quantities, one change and the other change, and the product of the corresponding two numbers in these two quantities is certain. These two quantities are called inverse proportional quantities. Their relationship is called inverse relationship. Where k=y*x (sure) x is not equal to 0, and k is not equal to 0. Simply put, if one thing increases, another thing decreases, he decreases, and another thing increases, the relationship between these two things is called inverse ratio.
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Question 2: What are positive proportion and inverse proportion? Two related things, one goes up, the other goes down. This is the direct ratio! Inverse proportion means that one increases and the other decreases.
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Question 4: What are the different meanings of ratio, proportion, positive proportion and inverse proportion? Ratio: It is the ratio of two numbers.
Proportion: two formulas with equal proportions.
Proportion: the ratio of two quantities is constant,
Inverse ratio: the product of two quantities is certain.
Question 5: Meaning of Proportion and Inverse Proportion (1) Proportion: two related quantities, one increasing and the other increasing. If the ratio (that is, quotient) of two numbers corresponding to these two quantities is constant, these two quantities are called proportional quantities, and their relationship is called proportional relationship.
(2) Inverse proportion: two related quantities, one changes and the other changes. If the product of two numbers corresponding to these two quantities is certain, these two quantities are called inverse proportional quantities, and their relationship is called inverse proportional relationship.
For example: age and body: middle age is the boundary, from childhood to middle age, the body grows with age, which is in direct proportion;
But from middle age to old age, the older you get, the smaller your body becomes. At this time, they are inversely proportional.
Question 6: Examples of positive and negative proportions The speed of a ship is constant, and the distance and time it travels. Proportional
2. The number of rice weaves per hour is fixed, the total number of rice weaves and the time. Proportional
3. The width of a rectangle is fixed, and its area and length. Proportional
Second, judge whether it is inversely proportional and explain the reasons!
1, the total amount of coal is certain, the amount of coal burned every day and the number of days that can be burned. be
2. The total amount of seeds is fixed, the sowing amount per hectare and the number of hectares sown. be
3. The speed and time required for Uncle Li to ride from home to the factory. be
4. Huarong did 12 math problems, completed problems and unfinished problems. breakdown
proportion
1. 100 meter race, the distance is 100 meter, and the speed and time are inversely proportional;
2. Queue for exercises, the total number of people is unchanged, and the number of people in line is inversely proportional to the number of people in each row;
3. Make paper boxes, the total number is certain, the number and number of people per person;
4. When buying things (actually using stationery), the total amount of money is certain, and its unit price is inversely proportional to the quantity;
5. The area of a rectangle is constant, and its length and width are inversely proportional;
6. A cuboid has a certain volume, and its bottom area is inversely proportional to its height.
7. Divide a piece of cake equally, and the cake each person gets is inversely proportional to the number of people.
The total price is fixed, and the unit price is inversely proportional to the quantity.
9. A cuboid has a certain volume, and its bottom area is inversely proportional to its height.
10. The total number of cartons is fixed, and the number made by each person is inversely proportional to the number of people.
direct ratio
1 When walking, the speed is constant. The more time you spend, the longer you walk.
When buying apples, the unit price is fixed. The more money you pay, the more apples you buy.
Farmers have a certain efficiency in planting crops. The more land they plant, the more crops they harvest.
4 perimeter and side length of a square
5 circumference and diameter of a circle
6 typing speed is certain, typing time and total number of words.
The number of each share is fixed, and each share is equal to the total number of vehicles.
8. Certain work efficiency, working hours and total work.
Time is fixed, speed and distance.
10 when taking the bus, the unit price per hour remains unchanged, and the farther away it is, the more expensive it is.
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A natural number is inversely proportional to its reciprocal.
The weight of wheat is fixed, and the flour yield is inversely proportional to the weight of flour.
Positive proportion:
Driving distance and time
proportion
Speed and time
Question 7: The difference between positive proportion and inverse proportion is the same:
1, and the ratio must be two related quantities;
2. One quantity will change with another quantity;
Difference:
1, one constitutes a division relationship and the other constitutes a multiplication relationship;
2. One is a quotient and the other is a product.