1. The problem of drinking horses by generals has always been the focus and difficulty of our junior high school mathematics, which will be encountered in the mid-term and final exams of Grade 89. In fact, the general inspection point mainly uses the characteristics of symmetry to find the maximum value of the line segment, that is, the maximum value and the minimum value.
2. The first thing to say is the minimum value of the sum of line segments, which can be on both sides of the river or on the same side of the river. Take the most basic model as an example. There are two points a and b on both sides of the river. If you find a point P to minimize the sum of PA+PB, it will be easier to understand on both sides of the river. You can directly connect two points with the shortest line segment between them.
3. If you use the basic model just mentioned to deform the same side and transform the same side into a different side, the problem will be simple. Then we only need to find the symmetry point of a point with the river as the symmetry axis, such as the symmetry point C of point A in the figure. Of course, we can also find the symmetry point of point B, and the intersection point P connecting BC and straight line L is what we want.
The three sides of a triangle are connected end to end. How to connect three line segments after expansion, that is, to transform three sides of a triangle into a straight line, the principle is to use the shortest line segment between two points. Then we need to take the straight line where the two moving points are located as the symmetry axis to make the symmetrical point P 1 and P2 of the point P respectively, and then connect these two points.
The Significance and Value of Mathematics
1. The real perfection of any science lies in the wide application of mathematical tools, especially the application of modern civilization. We have never found a science and technology that can develop well without mathematics. Mathematics originates from life, and life is inseparable from mathematics, which has a far-reaching impact on individuals, groups and even the whole world.
2. Logical thinking is meticulous and scientific. People who are good at mathematics will generally improve their brain intelligence and logical thinking ability. If they are serious and scientific, they will get full marks without making mistakes. It is suggested that being a man should be scientific and meticulous, not necessarily being a man. After all, it is better to be a man in Fiona Fang. Being a man and doing things should be wise and coordinated. If you have a good IQ, you should learn to have a high EQ.