数形结合思想在解题中的应用

The application of the combination of number and shape in solving problemsAbstract Mathematics is a science that studies the relationship between numbers and spatial forms.The idea of combining numbers and shapes is a bridge that connects numbers and shapes.It is tocombine the abstraction of numbers with the intuitiveness of shapes,so that it combines abstractthinking with image thinking.Through the research and analysis of the specific real examples in thejunior middle school mathematics exam,it is divided into three types:solving with numbers,combining numbers with shapes and mathematics,exploring their solutions to geometric problems.inequality problems,function problems and The superiority of the application in the theory ofprobability theory has obtained some advantages of using the combination of numbers and shapes insolving problems.Through the interview method and questionnaire survey method,the specificsituation of the application of the combination of numbers and shapes in middle school mathematicsteaching and the views of teachers and students on it are found.Some problems in the currentteaching are found.Methods and measures to improve the current status of teaching applications.Inorder to achieve the application of combining mathematics and thought to solve problems canenhance students 'ability to apply mathematical knowledge,enrich students'problem-solvingmethods,improve problem-solving ability,and then achieve a multiplier learning effect.Key words combination of numbers and shapes mathematics teaching thinking methodapplication