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Problem-solving skills of moving point problem in mathematics
The skills of solving mathematical moving point problems are as follows:

1. First analyze the starting point, ending point, travel and speed, express each required quantity with unknowns, and establish equations with equations, so we must pay attention to the discussion of the left and right classification of distances.

2. Read the stem carefully and extract key information from multiple conditions, and sort out and classify the extracted key information. The combination of numbers and shapes, the transformation of ideas, and the combination of numbers and graphics of key information.

3. The key to solving the moving point problem is to grasp the moving point. To turn a moving point into a static point, change with the constant, and find the breakpoint (side length, moving point speed, angle and the equivalent relationship of a given graph, etc.). ), establish the required equivalent algebra, and break through the problem.

Data expansion:

A moving point is a moving point, which is different from a fixed point. The trajectory of the moving point may conform to some functional relationship, such as straight line, parabola, etc. , its trajectory should be continuous.

Mathematics [English: Mathematics, from ancient Greece μ? θξμα(máthēma); Often abbreviated as math or maths], it is a discipline that studies concepts such as quantity, structure, change, space and information.

Mathematics is a universal means for human beings to strictly describe and deduce the abstract structure and mode of things, and can be applied to any problem in the real world. All mathematical objects are artificially defined in essence.

In this sense, mathematics belongs to formal science, not natural science. Different mathematicians and philosophers have a series of views on the exact scope and definition of mathematics.

The study of space originated from Euclidean geometry. Trigonometry combines space and numbers, including the famous Pythagorean theorem, trigonometric function and so on. Now the research on space has been extended to high-dimensional geometry, non-Euclidean geometry, topology and graph theory.

Numbers and spaces play an important role in analytic geometry, differential geometry and algebraic geometry. In differential geometry, there are concepts such as fiber bundle and calculation on manifold.

Algebraic geometry has the description of geometric objects such as polynomial equation solution set, which combines the concepts of number and space; There is also the study of topological groups, which combines structure and space. Lie groups are used to study space, structure and change.