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Elementary school second grade, mathematics, graphics, sports, beauty

2026-10-16 19:10
2026-10-16 21:04

#"Exploring the graphic movement in the second volume of mathematics in primary school" In the wonderful world of mathematics in the second volume of elementary school, the movement of graphs was like a wonderful magic show. There were axis-symmetrical graphs, translation, and rotation. ** 1. Axially symmetrical figure: Perfect overlap after folding ** 1. ** Concepts and Elements ** - When a figure was folded along a straight line, the two parts could completely overlap. This figure was an axis-symmetrical figure. The straight line that was used to fold was like a magic line and was called the axis of symmetries. In this process, the point where the two figures overlapped was the symmetrical point. 2. ** Judgment Method ** - To determine whether a figure was axis-symmetrical or not was like looking for the special properties of the figure. If we fold this figure along a possible straight line, as long as there is a folding method that allows the figures on both sides of the crease to completely overlap, then it is an axis-symmetrical figure. For example, a rectangular shape could be folded along its long or wide center line, and the two sides would completely overlap. Therefore, a rectangular shape was an axis-symmetrical figure, and it had two symmetrical axes. A square was even more special, it had four symmetrical axes. It could be folded along two diagonal lines or two sets of opposite sides of the center line. A circle was like a figure with countless magic. It had countless symmetrical axes, because no matter which direction it was folded through the center of the circle, it could achieve perfect overlap. A semicircle only had one axis of symmetries, an isosceles-triangle and an isosceles-rhomboid also had one axis of symmetries, and an equal-triangle had three axes of symmetries. These axes of symmetries were like secret passages in a figure, displaying the beauty of the figure's symmetries. 3. ** Practically applied ** - According to the characteristics of axis-symmetrical figures, we can play an interesting paper-cutting game. As long as he drew half of the picture on the folded paper, then cut it out, he would get multiple identical pictures after opening it, just like magic replication. ** 2. Horizontal Shift: The position of the image is greatly shifted ** 1. ** Concepts and characteristics ** - A translation was a movement in which a figure moved from one position to another along a straight line. During this process, the pattern was like a moving whole. Its size and direction did not change, only its position changed. 2. ** Pan Method ** - There were several key steps to complete the translation of a graph. First of all, he had to determine the direction of the pan (left, right, up, or down) and the number of squares (that is, the distance he moved). Then, he would find the vertexes of the original graph, just like finding the key control points of the graph. Next, each apex was translated in the same direction by the same number of squares. Finally, the new apex was connected according to the order of the original graph. This completed the translation of the graph. For example, if we want to shift a triangle to the right by 3 squares, we have to first determine the position of each apex after shifting it to the right by 3 squares, and then connect these new apices to get the translated triangle. Moreover, only images with the same shape, size, and direction could overlap with each other through translation. ** 3. Rotation: A circular motion around the center ** 1. ** Concepts and characteristics ** - Rotation was the phenomenon of an object moving in a circle around a point or a fixed axis. When an object rotated, its shape and size remained the same, but its direction changed. The direction of rotation was divided into clockwise and counterclockwise, just like the direction of the clock hand. 2. ** Nature of Rotation ** - During the spinning process, there were some magical properties. The distance between the corresponding point and the center of rotation was equal, and the angle between the corresponding point and the line connecting the center of rotation was equal to the angle of rotation, and the figures before and after rotation were exactly the same. For example, the rotation of a windmill. No matter how many times it rotated, its size remained the same, but its direction kept changing. In the second volume of elementary school mathematics, the three forms of motion, axis-symmetrical, translation, and rotation, each had their own characteristics. They were like three keys that opened the wonderful door to the world of graphics, allowing us to understand the mysteries of graphics more deeply. Read more exciting novels for free

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