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What is the idea of combining numbers and shapes?
The combination of numbers and shapes is one of the four important mathematical thinking methods in middle school mathematics. The so-called combination of numbers and shapes is to analyze its algebraic meaning and reveal its geometric meaning according to the internal relationship between the conditions and conclusions of mathematical problems, so as to skillfully and harmoniously combine the quantitative relationship with the geometric form and make full use of this "combination" to find a solution to the problem.

The combination of numbers and shapes is an important way of thinking to solve mathematical problems through the mutual transformation of numbers and shapes according to the corresponding relationship between numbers and shapes. The combination of numbers and shapes simplifies complex problems and concretizes abstract problems by "helping numbers with shapes and solving shapes with numbers". It is an organic part of the regularity and flexibility of mathematics by thinking about problems from two aspects: the intuition of shapes and the rigor of numbers, which broadens the thinking of solving problems.

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