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数形结合思想是一种可使复杂问题简单化、抽象问题具体化的常用的数学思想方法,尤其对于兼顾着“形”与“数”双重身份的向量来说,“运、形、标”从三种不同的思路实现了数形之间的灵活转化。无论是在日常生活和生产实践中,还是在科学研究和教学中,“数形结合”已经成为人们所熟识的重要工具,“形”有其直观性,“数”有其严谨性,两者结合起来,取长补短,才能够实现思维的突破和科学的进步。
The idea of combining numbers and shapes is a commonly used method of mathematics that can simplify complicated problems and concrete problems of abstract problems. Especially for vectors that take into account the double identities of “” and “number ”, , Form, standard “from three different ideas to achieve a flexible transformation between the number of forms. Whether it is in daily life and production practice, or in scientific research and teaching, ”combination of numbers and forms“ has become an important tool familiar to people, ”shape“ has its own intuition, and ”number" has Its rigor, the two together, learn from each other in order to achieve breakthroughs in thinking and scientific progress.