Question 1: What are the concepts and steps of mathematical graphic movement in primary schools? Definition of (1) translation: In a plane, the whole figure is translated from one position to another in a certain direction. This movement of graphics is called translation transformation, or translation for short, and the overlapping points before and after translation are called corresponding points.

(2) The essence of translation:

① The connecting lines of corresponding points are parallel (or * * * lines) and equal.

② The corresponding line segments are parallel (or * * * lines) and equal, and the quadrilateral surrounded by the four endpoints of two corresponding line segments before and after translation is a parallelogram (except the four endpoints * * * lines).

③ The corresponding angles are equal, and the two sides of the corresponding angles are parallel and in the same direction.

(3) Coordinate translation: if a positive number A is added (or subtracted) to the abscissa of each point of a graph, and the ordinate remains unchanged, the corresponding new graph is to translate the original graph to the right (or left) by a unit length; If a positive number A is added (or subtracted) to the ordinate of each point in the graph, and the abscissa remains unchanged, the corresponding new graph is to shift the original graph up (or down) by a unit length.

(4) Translation conditions: the original position, direction and distance of the figure.

(5) Steps and methods of translation drawing: translate each feature point of the original graph in a specified direction to obtain a corresponding symmetrical point, and then connect the symmetrical points accordingly to obtain the translated graph. There are three methods: parallel line method, corresponding point connection method and congruent figure method.

(Source

Translation definition of graphics _ senior high school entrance examination network

zhongkao/e/20 12 1 1 12/50 a 0 db 7 e 498 be . shtml

)

Question 2: The concept of translation and rotation in fourth grade mathematics is a new teaching content in primary school mathematics according to the requirements of "Mathematics Curriculum Standard for Full-time Compulsory Education (Experimental Draft)" (hereinafter referred to as "Standard"). Translation and rotation are the ways in which an object or figure changes its position in space. Understanding translation and rotation plays an important role in developing the concept of space. The translation of this textbook has been rotated twice, the first time in Unit 3 of Grade Three (Volume Two) and the second time in Unit 8 of Phase Four (Volume Two).

The teaching emphasis of grade three is: to judge the movement of an object with representation, to understand the direction and distance of graphic translation, to understand the process and method according to the conclusion, and to use the method to find the conclusion. Teaching difficulties: I can understand the direction and distance of graphic translation, understand the process and method according to the conclusion, and find the conclusion by methods. The teaching emphasis of grade four: draw the symmetry axis of a simple axisymmetric figure, translate the simple figure horizontally and vertically on the grid paper twice, and rotate the simple figure 90. Teaching difficulties: Translate the simple figure horizontally and vertically twice on the grid paper, and rotate the simple figure 90.

Question 3: Definition and nature of rotation: an overview of primary school mathematics.

Pronunciation: rotate (xuán) to rotate (Zhu n). English: In a plane, the graph transformation that rotates a graph by an angle around point O is called rotation, point O is called rotation center, and the rotation angle is called rotation angle. If the point p on the graph is rotated into the point P@, then these two points are called the corresponding points of this rotation.

nature

① The distance from the corresponding point to the center of rotation is equal.

② The included angle between the corresponding point and the connecting line of the rotation center is equal to the rotation angle.

③ The numbers before and after rotation are equal.

Three elements

① center of rotation;

② direction of rotation;

③ Rotation angle.

Note: As long as you arbitrarily change one of the three elements, the graphics will be different. Rotational transformation is to change from one figure to another. In the process of change, all points on the original graph change in the same direction and rotate at the same angle around a fixed point.

Question 4: The definition of graphic symmetry translation and rotation Translation and rotation is a new teaching content in primary school mathematics according to the requirements of the Mathematics Curriculum Standard for Full-time Compulsory Education (experimental draft) (hereinafter referred to as the Standard). Translation and rotation are the ways in which an object or figure changes its position in space. Understanding translation and rotation plays an important role in developing the concept of space.

Question 5: What is the correct definition of rotation in primary school mathematics? A graphic transformation that rotates a graph by an angle around a certain point o is called rotation. In other words, rotation is a phenomenon that an object moves on a circle with a point or an axis as the center, and it does not have to do circular motion. So the swing is also rotating, so the movements of the swing, pendulum and seesaw are swinging and rotating at the same time.