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利用向量证明和计算几何问题是数形结合思想的重要体现,把几何图形性质的讨论转化为向量运算,变抽象的逻辑推理为具体的向量运算,能够使不少复杂的几何问题简单化。
The use of vectors to prove and calculate geometric problems is an important embodiment of the idea of combining numbers and shapes. The discussion of the nature of geometric shapes is transformed into a vector operation, and the abstract logical reasoning is a specific vector operation, which can simplify many complicated geometric problems.