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Proportionality means that in two related quantities, if one quantity changes, the other quantity also changes, and the ratio of the two numbers corresponding to these two quantities is certain, then the two quantities are proportional. Inverse proportionality means that for two related quantities, if one quantity changes, the other quantity also changes, and the product of the two numbers corresponding to these two quantities is constant, then the two quantities are inversely proportional.
In everyday life, there are many concrete examples of positive and inverse proportions. For example, if a car travels in a straight line at a constant speed, the longer it travels, the longer it travels. The car travels at a constant speed, which means that the quotient of distance and time is certain, so we say that in this case, the distance traveled by the car is proportional to the time, and the relationship between the distance and time is proportional.
For example, if an athlete participates in a 100-meter race and the total distance is 100 meters, the faster the athlete is, the shorter the time to complete the race. The total distance must mean that the product between the athlete's speed and time must be fixed, so we say that in the 100-meter race, the relationship between the athlete's speed and time is inversely proportional.
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Proportionality refers to two related quantities, one quantity changes, and the other quantity also changes. If the ratio of the two corresponding numbers in these two quantities is constant, these two quantities are called proportional quantities, and their relationship is called proportional relations.
Inverse proportionality refers to two related quantities, one quantity changes, the other quantity also changes, if the product of the two corresponding numbers in these two quantities is constant, they are called inversely proportional quantities, and their relationship is called inverse proportional relations.
Example. Proportional examples:
1. The unit price is certain, and the total price is proportional to the quantity.
2. The quantity is certain, and the total price is proportional to the unit price.
Inverse proportional examples:
1. In the 100-meter race, the distance is 100 meters, and the speed and time are inversely proportional.
2. The total number of people in line remains the same, and the number of lines in line is inversely proportional to the number of people in each line.
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Proportional: <>
There are two quantities related to the land union, one quantity changes by a few volts, and the other quantity also changes with it. And the amount of potato carries one as the amount of the other increases. If the ratio (i.e., quotient) of the two numbers corresponding to these two quantities is constant, these two quantities are called proportional quantities, and their relationship is called proportional relations, and we call these two variables proportional.
Inverse Ratio: <>
Two things or two aspects of a thing, one side changes, and the other side changes oppositely, for example, the elderly gradually weaken with age, which is inversely proportional.
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Proportional:One quantity increases with the other, and the ratio is constant。Such as:
Go grocery shopping, the more you buy then the more money you spend. Here, the amount of money spent increases as the number of groceries increases. There are two more amountsThe ratio should be the same, the ratio should be the same, and the ratio should be the same
The ratio is the unit price of this question. The unit price never changes. The ratio is not necessarily, and even if one quantity increases with another, it is not proportional.
Inverse proportional:One quantity decreases as the other increases, and the volumeCertain. Such as:
The faster you go by train, the shorter it will take to get to the station. Here's where the time it takes for the train to arrive at the station decreases as the speed of the train increases. And there isThe product must be certain, the product must be certain, and the product must be certain.
The product is the total distance traveled by the train for this problem. No matter how fast it is, how little time it takes to get to the station. The total distance (product) never changes
The product is not necessarily, even if one quantity decreases as the other increases, it is not inversely proportional.
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Proportionality means that the two numbers increase simultaneously. Like what.
a b = c, where a and b are directly proportional and b and c are inversely proportional.
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If the ratio of the two numbers corresponding to these two quantities (i.e., the quotient) is constant, these two quantities are called proportional quantities, and their relationship is called proportional relations; If the product of the two numbers corresponding to these two quantities is constant, these two quantities are called inversely proportional quantities, and their relationship is called inversely proportional relations.
To put it simply, if two related quantities, one quantity changes, the other quantity also changes, and if the ratio of these two quantities is constant, then the two quantities are proportional; If the product of two related quantities changes, then the two quantities are inversely proportional.
For example, time is constant, and distance is proportional to velocity. The speed is constant, and the distance is proportional to the time. The distance is constant, and time is inversely proportional to speed.
Work efficiency: A certain amount of work is proportional to time. The total amount of work is proportional to the work efficiency. The total amount of work is inversely proportional to the work efficiency.
The similarities between the positive and negative proportions are as follows:
1. Both positive and inverse proportional contain three quantities, and in these three quantities, there is one quantitative and two variables.
2. In the two variables of positive and negative proportions, one quantity changes, and the other quantity also changes, and the change mode is a change of several times of expansion (multiplied by a number) or shrinking (divided by a number).
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