Application problem is to describe relevant facts in language or words and reflect some mathematical relationship (such as quantitative relationship, positional relationship, etc.) ) and solved an unknown number of problems. Each application problem includes known conditions and problems.

In the past, China's application problems usually required narrative to meet three requirements: no contradiction, that is, conditions and problems could not be contradictory; Completeness, that is, the condition must be sufficient to ensure that the value of the unknown quantity can be obtained from the condition; Independence, that is, several known conditions cannot be deduced from each other.

Classification of application problems

brief introduction

In mathematics teaching, practical problems including some mathematical relations (such as quantitative relations and geometric figure position relations) are described by language or words, and the problems formed in this way are called application problems. Any application problem contains two parts. The first part is known conditions (conditions for short), and the second part is seeking problems (problems for short). The conditions and problems of application questions constitute the structure of application questions.

Application problems can be divided into general application problems and typical application problems.

An application problem with two or more operations without specific solving rules is called a general application problem. An application problem that has a special quantitative relationship and can be solved by specific steps and methods is called a typical application problem.

In China's mathematics education, the application problems of primary school mathematics are generally solved by arithmetic (formula), and only a few require equations and proportions; However, in junior high school, most application problems are required to be solved by equations or resolution functions (except geometry problems, probability problems and statistics problems, which have special symbols and formats).