1, carefully examine the questions: when solving positional math problems, you need to establish a coordinate system first. In the plane rectangular coordinate system, the position of a point is usually represented by the X axis and the Y axis. After the coordinate system is established, the relevant points can be represented by coordinates according to the given conditions of the topic.
2. Determine the basic elements: In the position problem, the basic elements include points, line segments and angles. According to the description of the topic, it is necessary to specify the coordinates of the points to be solved, the length of the line segment, the size of the angle, etc. For more complex topics, it may be necessary to discuss the basic elements in categories, so as to get a complete solution.
3. Establish a mathematical model: Establish a mathematical model according to the conditions given in the topic and the problems to be solved. For example, in the plane rectangular coordinate system, algebraic equations or functions can be used to describe the coordinates of points and the length of line segments. Calculate: calculate according to the established mathematical model. For more complex problems, you may need to use mathematical knowledge such as equations, trigonometric functions and inequalities to solve them.
Types of mathematical problems
1. Algebraic problem: Algebraic problem is one of the most common problems in mathematics, which mainly involves algebraic concepts such as variables, equations and functions. This kind of topic requires candidates to use algebraic knowledge to solve practical problems, such as solving equations, inequalities, maxima and so on. Geometric problem: Geometric problem is another common problem in mathematics, which mainly involves geometric concepts such as figure, angle, line segment and area.
2. Probability problem: Probability problem is another common problem in mathematics, which mainly involves concepts such as probability and statistics. This kind of topic requires candidates to use probability knowledge to solve practical problems, such as finding the probability, distribution table and expectation of events. Permutation and combination problem: permutation and combination problem is a special problem in mathematics, which mainly involves concepts such as permutation and combination.
3. Sequence problem: Sequence problem is a special type of problem in mathematics, which mainly involves the concept and properties of sequence. This kind of topic requires candidates to use the knowledge of series to solve practical problems, such as finding the general formula of series, the sum of the first n items and so on. Analytic geometry problem: Analytic geometry problem is a kind of complex problem in mathematics, which mainly involves the concepts of locus, curve, surface and so on in plane or space.