Average problem: The key to solve the average problem is to find out the total number of problems and the corresponding total number of copies. The relationship is: total amount/total score = average.
Meeting problem: The essence is the sum of the distances traveled by two moving objects at the same time. Speed sum * simultaneous travel time = sum of simultaneous travel distances.
Differential multiple problem: know the difference between two numbers and the multiple relationship between two numbers, and find the application problem of these two numbers.
Planting trees: The key to solving the problem of planting trees is to understand the relationship between "number of segments" and "trees". Generally speaking, there are the following relationships:
The first case: planting trees on the unclosed line.
(1) Planting at both ends: tree = number of segments+1.
(2) Planting one head and not planting the other: tree = number of segments.
(3) No planting at both ends: tree = number of segments-1.
The second situation: planting trees on the closed route.
Tree = number of segments
Age problem: when solving the age problem, we should grasp the characteristics of constant age difference, and then solve this kind of application problem according to the multiple relationship between age and the sum of age.
The problem of chickens and rabbits in the same cage: the solution to the problem is the mathematical thought of "confusing the real with the fake", assuming that all chickens or rabbits are involved.
Application of column equation
The key of equation application problem is to find equivalence relation. The methods to find equivalence relations are: (1) According to the commonly used quantitative relations; (2) looking for equivalent relational sentences; (3) search according to the formula; (4) Look for things in the order of development.
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