Two related quantities, one quantity changes, and the other quantity changes accordingly. The product of two corresponding numbers in two quantities is certain, so we say that these two quantities are inversely proportional, and their relationship is called inverse relationship. The relationship is: xy = k (k must)
Y decreases with the increase of X when the increase or decrease is greater than 0, and Y increases with the increase of X when K is less than 0? 1, y=k divided by x2, xy=k? 3. The change law of Y = K multiplied by the negative power of X is often used to express the change law of Y. ..
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Inverse ratio application
Inverse proportional relation belongs to inductive problem in application. Reflected in division, when the divisor is fixed, the divisor and quotient are inversely proportional. In a fraction, when the numerator of the fraction is constant, the denominator is inversely proportional to the fractional value. In proportion, the former term of the proportion is fixed, and the latter term is inversely proportional to the proportion.
If the relationship between the total number and the number of copies is embodied as: in the shopping problem, the total price is fixed, and the unit price is inversely proportional to the quantity. In the travel problem, the total distance is constant and the speed is inversely proportional to the time. In engineering problems, the time spent digging holes in the ground is also (roughly) inversely proportional to the number of people hired to dig holes.
On the Cartesian coordinate plane, the graphs of two variables with inverse relationship are a pair of hyperbolas. The product of the x and y coordinate values of each point on the graph is always equal to the proportionality constant (k). Because k is not zero, the graph line will not intersect with the coordinate axis.
Baidu encyclopedia-inverse proportion