What is the definition of proportional-scale ratio?

The scale on the map indicates the degree to which the distance is smaller than the actual distance.
The formula is used to indicate: scale = distance/Actual distance on the graph. There are three methods to express the scale.
(1) Digital: The scale is displayed in the proportional or fractional Form of a number. For example, if the distance is 1 cm on the map, it can be written as 000 or 500 km in one thousandth.
(2) Line Segment: draw a line segment on the map and indicate the actual distance represented by 1 cm on the map.
(3) Text: on a map, use text to directly write 1 cm on the map, which indicates the distance between the Earth and 1 cm on the ground.

The Three Representation Methods are interchangeable.

Based on the scale on the map, you can calculate the field distance between the two locations. Based on the actual distance and scale between the two locations, you can calculate the distance between the two locations. Based on the distance between the two locations and the actual distance, you can calculate the scale.
Based on the purpose of the map, the size of the area range, the size of the map, and the details of the content, the selected scale is large and small. The numerator in the map scale is usually 1. The larger the denominator, the smaller the scale. Generally, a map with a scale greater than one in 0.2 million is called a large-scale map. A map with a scale between one in 0.2 million and one in 1 million is called a medium scale map. A map with a scale less than one in 1 million is called a small scale map. The larger the scale, the smaller the range indicated by the map, the more detailed the content indicated in the map, and the higher the precision. The smaller the scale, the larger the range indicated by the map, the simpler the content, the lower the accuracy. Most of the maps in the Geography Course and the map used by middle school students are small-scale maps.

Map scale on Map
The ratio of the line segment length on the map to the line segment length on the map. It indicates the scale-down of a map image, also known as scale-down. For example, that is, the length of 0.1 million is equivalent to 1 cm in the field. Strictly speaking, the full map scale is consistent only when the curvature of the Earth is not taken into account on a large-scale map that represents a small range. Generally, the scale drawn on the map is called the main scale. On a map, only some lines or points match the main scale. The scale is related to the details and accuracy of the map content. Generally, a large-scale map has a detailed content and a high geometric precision. It can be used for measurement on the map. A map with a small scale has a general nature and is not suitable for Graph measurement.

Scale: the degree to which the distance on the graph is smaller than the actual distance. It is the ratio of "distance on the graph/Actual distance.

The larger the scale, that is, the longer the actual distance represented by the distance on the graph. the more detailed the items that can be reflected,

Scale scaling calculation:

Enlarge the original scale to n times. The original scale is XN.

Increase the original scale by N times; original scale x (n + 1)

Scale down the original scale to 1/n. The original scale is X1/n.

Scale down the original scale by 1/n. The original scale is x (1-1/n)

After scaling, the ratio of the original area changes to the square of the scaling factor.
This is called a scale!
The ratio definition method defines a ratio when defining a physical quantity. Physical concepts defined by the ratio method occupy a considerable proportion in physics, such as speed, density, pressure, power, specific heat capacity, calorific value, etc.
Supplement:
I. Features of the "Ratio Method:
1. the ratio method is applicable to the definition of material attributes, features, and motion characteristics of objects. Because they show some properties when exposed to the outside world, this provides us with an indirect way to express our features using external factors, an experiment is often used to find a ratio of two or more measurable physical quantities associated with a certain attribute feature of a substance or object to determine a new physical quantity that represents this attribute feature. Using the ratio method to define a physical quantity usually requires certain conditions. First, it is objective, second, the two physical quantities that indirectly reflect the feature attributes are measurable, and third, the ratio of the two physical quantities must be a fixed value.

2. Two analogy methods and features

One is the physical quantity that defines the Property Characteristics of a substance or object by using the ratio method, such as electric field intensity E, magnetic induction intensity B, capacitance C, and resistance R. Their common feature is that attributes are determined by themselves. When defining, You need to select a test entity that reflects a certain nature for research. For example, to define the electric field intensity e, you need to select the test charge Q to observe the electric field force F in the field of the test charge. The ratio F/Q can be defined.

The other is the definition of some physical quantities that describe the characteristics of an object's motion state, such as speed V, acceleration A, and velocity ω. These physical quantities are introduced through simple motion, such as uniform linear motion, uniformly variable linear motion, and uniform circular motion. The common characteristics defined by these physical quantities are: the variation of a physical quantity is equal within an equal period of time, and the ratio of the variation to the time used can represent the characteristic of the variation speed.

Ii. Understanding of the "Ratio Method"

1. Understand the ins and outs of physical quantities. Why do we need to study this problem so as to introduce the ratio method to define physical quantities (including how the problem was raised) and how to conduct research (including the main physical phenomena and facts, what measures and methods are used, and what conclusions are obtained through research (including how physical quantities are defined and how mathematical expressions are ), what is the physical meaning of a physical quantity (including its essential attributes, applicable conditions, and scope) and what is the important application of this physical quantity.

2. To understand it, we need to expand analogy and imagination and perform logical reasoning. All the physical quantities defined by the ratio method share the same characteristics. Through analogy and imagination, logical reasoning, abstract thinking, and other activities can lead to a leap in thinking and knowledge migration, make a deep understanding of the analogy. For example, in the teaching of gravity field, electric field, and magnetic field, the same entity needs to be checked for field properties, and the ratio definition of physical quantity to the force of the checked object is used. However, there are also differences. In the gravity field ratio, the denominator is the simplest quality. When defining an electric field, the electric property of the charge should be considered. The magnetic field definition is the most complex, not only with the consideration of the current element I, in addition, the location and valid length of the current element should be considered.

3. The formula of the ratio method cannot be purely mathematical. When establishing physical quantities, explain physical thoughts and methods, clarify the attributes of concept expressions, and understand the real content of their physical processes and physical symbols from these measurement formulas, it should not be formal by mathematical symbols, ignoring the rich content of physical quantities. It is necessary to reveal the true dependency and physical process of the defined concepts and related concepts from the measurement formula, prevent students from memorizing and making use of them. On the other hand, the proportional expression in mathematical form does not necessarily apply the ratio method. For example, the formula A = F/M is just a mathematical form like the ratio method. In fact, it does not have other features of the ratio method. Therefore, we cannot simply associate the ratio method with the mathematical form.