What is a proportional relationship? Ask for a math teacher, a friend who understands math or can pr

Proportional: Two related quantities, one quantity changes, the other quantity also changes, if the ratio of the two numbers corresponding to these two quantities (i.e., the quotient) is certain, these two quantities are called proportional quantities, and their relationship is called proportional relations Expressed by letters: If the letters x and y are used to represent the two related quantities, and k is used to represent their ratios, the (certain) proportional relationship can be expressed by the following relation:

x y(x:y) = k (definitely), x and y denote the two associated quantities, and k denotes their ratio.

Inverse proportion. Inverse proportional function.

A function of the form y k x (k is constant and k≠0) is called an inverse proportional function.

The value of the independent variable x can range from any real number that is not equal to 0.

Inverse Proportional Function Image Properties:

The image of the inverse proportional function is hyperbola.

Since the inverse proportional function is an odd function, there is f(-x)=-f(x), and the image is symmetrical with respect to the origin.

In addition, from the analytic formula of the inverse proportional function, it can be concluded that any point on the image of the inverse proportional function is taken and perpendicular to the two coordinate axes, and the area of the rectangle enclosed by this point, the two perpendicular feet and the origin point is a fixed value of k.

When k 0, the inverse proportional function image passes through one and three quadrants and is a subtractive function (i.e., y decreases with the increase of x).

When k 0, the image of the inverse proportional function passes through two and four quadrants, which is an increasing function (i.e., y increases with the increase of x).

Since neither the independent nor dependent variables of the inverse proportional function can be 0, the image can only tend to the coordinate axis infinitely, and cannot intersect with the coordinate axis.

Knowledge points:1Any point on the image of the inverse proportional function is made as a perpendicular segment of two coordinate axes, and the area of the rectangle enclosed by these two perpendicular segments and the coordinate axis is | k |。

2.For the hyperbolic y k x, adding or subtracting any real number from the denominator (i.e., y k (x m)m is constant) is equivalent to translating the hyperbolic image one unit to the left or right. (Translate to the left when adding a number, and to the right when subtracting a number).

Friend: From my understanding, I think that the two variables are not necessarily proportional to the fact that they just increase. There should be a certain proportional relationship, if it is the ratio of the same multiple. In this way, it can be counted as a strictly proportional relationship. Although I am not so professional, I hope it can help you.

When the ratio of two variables is a constant, we say that the two variables are proportional. For example, when the speed is constant, the distance is proportional to the time.

The proportional relation is y=kx, k is constant and k 0

For example, if y = kx 3 (k 0), although y increases with x, y is proportional to x 3, not y to x.

The proportional relation means that the proportionality must be in the form of a function, and in the example x3 becomes a whole.

is not proportional to the form of a function that does not satisfy the one-time function.

The proportional relationship when the ratio of two variables is constant.

1.Two things or two aspects of a thing, one side changes, and the other side changes accordingly, for example, children gradually increase their physical strength as they grow older, which is directly proportional. [It is recommended to use only 2, because the interpretation of 1 is not proportional, but positively correlated, only those with constant proportions are proportional, proportional = proportional!]

2.When the ratio of two quantities is a constant, this relationship is called proportionality.

There are two associated quantities, one quantity changes, and the other quantity also changes. And one quantity increases with the increase of the other. 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.

Expressed by letters: If the letters x and y are used to denote two related quantities, and k is used to denote their ratios, the proportional relationship can be expressed by the following relation: y x=k (certainly).

As one number expands or shrinks, the other expands or shrinks with it, and the ratio of the two numbers is constant.

Answer: From the proportionality of f and m r 2, we can know that f is m and |R 2 is proportional, and since f is proportional to m r 2, f is also proportional to mm r 2.

f is proportional to mr2.

f is proportional to m.

f is proportional to mr2.

f is proportional to m*m r 2.

If the distance is x kilometers, there will be a field trip:

speed sum = x 8;

A speed = x (8 + 6) = x 14;

Rubbers, speed = x 8-x 14 = 3x 56;

x-3x/56×14=140;

x-3x/4=140;

x=560;

So the distance is 560 km.

Let the speed of car A and B be x,y kilometers.

8y-6x＝0

8x-6y＝140

Solution. x = 40 (kilometers per hour).

y=30 (km).

40 * (km per small high lead time) = 560 (km) ab 560 km apart.