The first part, two ideas, is the problem-solving skills of moving point problem in junior one mathematics:
When solving dynamic problems, we often use the idea of combining numbers and shapes to discuss them in categories.
Second, the problem solving steps:
1, find out the reference coordinates of the moving point, that is, the starting coordinates of the movement;
2. Calculate the coordinates of the moving point:
Move to the right: moved coordinate = reference coordinate+moving distance;
Move to the left: moved coordinate = reference coordinate-moving distance;
3. Represents the length of a line segment: the number represented by the right end of the line segment-the number represented by the left end of the line segment;
4. Column equation: according to the relationship of motion or the conditions in the topic, the equation is listed, and the unknown is usually the motion time t, velocity v or the coordinates to be solved;
Step 5 solve
How to express the distance between two points on the number axis can be expressed by absolute value, that is, the absolute value of the number difference represented by two points. For example, if the numbers represented by points A and B on the number axis are A and B, then AB=|a-b| or | B-A |.
2. How to use letters to represent a moving point on the number axis?
It can be solved by addition or subtraction of rational numbers, that is, from the starting point, the moving distance of the moving point is increased and decreased in the positive direction. For example, the number corresponding to point A on the number axis is-1, and point P starts from point A and moves to the right at a speed of 2 unit lengths per second. Let the moving time be t and the number represented by point p be-1+.
3. How to find the midpoint of the line segment between any two points on the axis?
The sum of the numbers represented by two points is divided by two. If the points on the number axis represent numbers A and B, then the number represented by the midpoint of the line segment AB is (a+b)/2.
Learn math methods well 1 and prepare well before class, so that you can better digest and absorb the knowledge points that you can't learn in math class.
2, the mathematical formula must be memorized, and it must be deduced and can be deduced.
3. Mathematics focuses on understanding. When you begin to learn knowledge, you must understand it. So listen carefully in class and see how the teacher explains it.
4. 80% of the scores in mathematics come from basic knowledge, and 20% of the scores are difficult, so it is not difficult to test 120.
5. Math needs to be done. It is difficult for impetuous people to learn math well. Doing problems in a down-to-earth manner is the last word.
6. If you want to learn math well, you can't do it without thinking. You can't hide when you encounter problems, and you can't stop until you figure it out.
7. The most important thing in mathematics is the problem-solving process. It is important to understand mathematical thinking. With clear thinking, mathematics naturally comes.