1, find the reference coordinates of the moving point, that is, the starting coordinates of the movement.
2. Calculate the coordinates of the starting point after moving: move to the right: moved coordinates = reference coordinates+moving distance; Move to the left: moved coordinate = reference coordinate-moving distance.
3. Indicates the length of the line segment: the number indicated at the right end of the line segment-the number indicated at the left end of the line segment.
4. Column equations: list equations according to the relationship of motion or the conditions in the topic. The unknowns are usually motion time t, velocity v or the sought coordinates.
Data expansion:
The number axis is a specific geometric figure. A straight line is a collection of countless points, and there are countless real numbers including positive real numbers, zero real numbers and negative real numbers. Because of their * * * nature, they use countless points on a straight line to represent real numbers.
At this time, a straight line with origin, positive direction and unit length is used to represent real numbers. When the right side is defined as the positive direction, the number represented by the upper point on the right side of two numbers on this straight line is always greater than the number represented by the upper point on the left side, positive numbers are greater than zero, and zero is greater than negative numbers.
The number axis has the completeness of numbers, which can represent both rational and irrational numbers (collectively called real numbers) and imaginary numbers. At the same time, a coordinate system can be established to form a relatively strict digital system.
Function:
1, the number axis can visually represent numbers, and the points on the horizontal number axis correspond to real numbers one by one, that is, each real number can be represented by a point on the number axis.
2. Compare the sizes of real numbers, with 0 as the center, and the number on the right is greater than the number on the left. The imaginary number can also be represented by a vertical number axis perpendicular to the horizontal number axis and having the same origin, thus forming a complex plane with the horizontal number axis.
3. Two mutually perpendicular number axes with the same origin can form a plane rectangular coordinate system; Three mutually perpendicular number axes with the same origin can form a spatial rectangular coordinate system to determine the position of an object.
Usage:
Mathematically, the number axis is a one-dimensional figure, and integers are evenly distributed on a line as special points. The number axis is a straight line that defines the origin, direction and unit length. The origin, direction and unit length are called the number axis. It is usually used to help teach simple addition or subtraction (especially when there are negative numbers in the operation).
In most cases, the number axis is represented as horizontal (although this is not necessary). It is divided into two symmetrical parts by the origin 0. Usually positive numbers are on the right of 0 and negative numbers are on the left of 0. All real numbers correspond to points on the number axis.