First, problem-solving skills

1.？ Distance formula between two points on the number axis: the distance between two points on the number axis is the absolute value of the coordinate difference corresponding to these two points, that is, the difference between the right number and the left number is subtracted. That is, the distance between two points on the number axis = the number represented by the right point-the number represented by the left point.

2.？ When a point moves on the number axis, because the right direction of the number axis is positive, the speed moving to the right is regarded as positive speed, and the speed moving to the left is regarded as negative speed.

In this way, the coordinates of the point after moving can be directly obtained by adding the moving distance of the point on the basis of the starting point. That is, the number represented by point A is A, and the number represented by the left shift of unit B is A-B; After moving unit b to the right, the number is a+B.

3.？ The number axis is the product of the combination of numbers and shapes, and the motion analysis of points on the number axis should be combined with graphics. The path formed by the movement of points on the number axis can be regarded as the sum and difference relationship of line segments on the number axis.

Second, the concept of fixed point.

The formula of the first moving point is (a+b)÷2. The distance between two points on the number axis is the absolute value of the coordinate difference corresponding to these two points, that is, the difference between the number on the right and the number on the left is subtracted. The movement of points on the number axis should be analyzed in combination with graphics.

When a point moves on the number axis, because the right direction of the number axis is positive, the speed moving to the right is regarded as positive speed, and the speed moving to the right is regarded as negative speed.

The benefits of learning math well

First, enhance logical thinking and analytical skills:

Mathematics is a subject with strict logic. Learning mathematics can exercise our logical thinking and analytical ability and improve our problem-solving ability.

Second, cultivate abstract thinking and innovative thinking:

There are many abstract concepts and ways of thinking in mathematics. Learning mathematics can cultivate our abstract thinking and innovative thinking, and make us more capable of discovery and creation.

Third, improve mathematics literacy and mathematics application ability:

Mathematics is a subject widely used in various fields. Learning mathematics can improve our mathematical literacy and mathematical application ability, so as to better cope with practical problems and challenges.

Fourth, improve humanistic quality and cultural accomplishment:

Mathematics, as a common form of knowledge in the development of human civilization, can improve our humanistic quality and cultural accomplishment and help us better understand and appreciate the essence of human civilization.

Verb (abbreviation of verb) improves employment competitiveness;

Mathematics is a necessary skill for many occupations. By studying mathematics, we can improve our employment competitiveness and get better career opportunities.