1. Find the equivalence relation from the key sentences. Key sentences are the core of the quantitative relationship reflected by application questions. Before solving a problem, you should carefully examine the problem, find out the key sentences from the problem, and then express the key sentences in words and text equations, thus listing the equations. According to life experience, find out the equation of equality.
2. Make equations according to relevant geometric formulas. For example, the height of the triangle is 5 decimeters, the area of the triangle is 50 square decimeters, and how many decimeters is the base of the triangle? According to "area formula of triangle, triangle area = base × height ÷2", and let the base of triangle be decimeter, the equation 5÷ 2 = 50 can be listed.
Equivalence relation is a formula to express the equal relation between quantities. If it is required to be solved by an equation, it is necessary to find out the equivalence relation in the problem and list the equivalence relation. "Equivalence relation" refers to the equivalence relation between quantity and quantity, which is one of the quantitative relations. Mathematical problems often contain many equivalence relations. If we need to solve the problem by equation, we need to find out the equivalence relation in the problem.
For example, a workshop originally planned to produce 10000 machine parts, but now it has been produced for 8 hours, and 4,800 more will be produced to complete the task. How many machine parts are produced per hour on average? The quantity of this problem has an equal relationship: output per unit time × production time = what has been produced; Total planned output-already produced = required to be produced.
The benefits of learning mathematics:
People who are good at math are relatively smart and savvy, and they can show their advantages in dealing with people. The faster you think, the more ways and ideas you have. Cambridge, majoring in financial mathematics at Carnegie Mellon University in the United States, said that studying mathematics has brought her mental exercise and made me pay more attention to the rigor of thinking in my life.
For example, before solving a problem, I like to divide it into several sections, and each section is divided into several steps, so that I can dig slowly like a branch instead of thinking in confusion in front of a pile of data. Mathematics is the foundation of other disciplines, and it is easier for people who learn mathematics well to get into other disciplines. Learning software, computer, finance and other engineering majors is even more handy.