First, problem-solving skills

1. Determine the starting position of the moving point: On the number axis, the starting position of the moving point is usually known and needs to be determined according to the conditions given by the topic.

2. Determine the moving direction of the moving point: the moving direction of the moving point is usually left, right, up and down. It needs to be determined according to the conditions given in the title.

3. Determine the speed of the moving point: The speed of the moving point is usually known and needs to be determined according to the conditions given in the topic.

4. Calculation by time formula: After determining the starting position, moving direction and speed of the moving point, the position of the moving point at different time points can be calculated by time formula.

5. Pay attention to unit conversion: when calculating, pay attention to unit conversion to ensure the accuracy of calculation results.

6. Graph analysis: When solving the moving point problem on the number axis, graph can be used for analysis, and the method to solve the problem can be found by observing the changing law of graph.

7. Determine key time points: When solving the problem of moving points on the number axis, it is necessary to determine some key time points, such as the time when the moving points arrive at a certain position.

8. Using symmetry: When solving the problem of moving points on the number axis, symmetry can be used to simplify the calculation. For example, when a moving point moves from one position to a symmetrical position, its speed and time are equal.

Second, the number axis real number

On the 1. axis, real numbers can be represented by points. Real numbers can be divided into rational numbers and irrational numbers. Rational numbers can be expressed as the ratio of two integers, while irrational numbers cannot be expressed as rational numbers.

2. For rational numbers, you can directly find corresponding points on the number axis, for example, integers can directly find corresponding points on the number axis, fractions can be multiplied by a suitable integer with denominator, and then find corresponding points on the number axis.

3. Irrational numbers can be expressed on the number axis in an approximate way. For example, it is an irrational number and can be represented on the number axis by its approximation.

4. On the number axis, the points representing real numbers are in one-to-one correspondence with real numbers, that is, each real number can be represented by a unique point on the number axis, and each point on the number axis also corresponds to a unique real number.

5. Points on the number axis can represent not only real numbers, but also imaginary numbers and complex numbers. In mathematics, real number is an important concept, which is the basis of mathematical analysis and algebra, and the number axis is an important tool to represent real numbers.