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“数”和“形”是数学研究的两个基本对象,它用数的精确性来阐明形的某些属性,同时也用图形的几何直观性来阐明数之间的某种关系.我国著名数学家华罗庚先生通过一首诗生动形象地说明了数与形之间的密切关联:“数与形,本是相倚依,焉能分作两边飞.数无形时少直觉,形少数时难入微.数形结合百般好,隔离分家万事休.切莫忘,几何代数统一体,永远联系,切莫分离.”由此可看出在解题过程中,必须注重对数和形的考虑.
“Number ” and “Shape ” are the two basic objects of mathematical research. They use the accuracy of numbers to clarify certain properties of shapes, and at the same time use the geometrical intuition of figures to clarify some Relationship.Chinese famous mathematician Mr. Hua Luogeng through a poem vividly illustrates the close relationship between number and shape: “number and shape, this is dependent on each other, can be divided into two sides fly. , The shape of a few difficult. Micro-shaped combination of good and bad, separated from all break everything. Do not forget, geometric algebraic unity, never contact, never separate. ”It can be seen in the process of solving problems, we must pay attention Logarithmic and shape considerations.