The analysis method starts from the proposed problem and traces back to the known conditions needed to solve the problem, which is the fruit-holding problem-solving method.
The synthesis method is based on the known conditions, and gradually calculates the new conditions and the final questions to be answered. This is the way to solve the problem from cause to effect.
For example, there are 50 kilograms of candy in the store, and 5 boxes of candy are brought in, each box is 75 kilograms. How many kilograms of candy are there?
The way to solve the problem by analytical method is as follows:
(1) How many kilograms of candy are there? (2) The original candy is 50 kilograms. How many kilograms of candy are there? (3) There are five boxes of candy, each box is 75kg.
The comprehensive method to solve the problem is as follows:
Brought five boxes of candy, 75 kilograms each; The original candy is 50 kilograms. How many kilograms of candy did you bring in? 75× 5 = 375 (kg); How many kilograms of candy are there? 375+50 = 425 (kg).
In fact, when solving problems, analytical method and comprehensive method complement each other. When thinking analytically, we should always pay attention to the known conditions in the problem and consider which known quantities can be combined to solve the problem. So there is also synthesis in the analysis. When thinking comprehensively, we should always pay attention to the problems in the stem and consider what known quantities are needed to solve the problems raised. So there is also analysis in the synthesis. In other words, when solving problems, we need to constantly use analytical and comprehensive thinking activities at the same time.