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“数形结合”是指通过数与形的相互转化使代数问题借助图形更加形象直观,也使几何问题通过代数推理更加严密精确.它是17世纪数学家笛卡尔发明坐标系以后的几何问题代数化,也是代数和几何完美的结合.数形结合的思想是高考重点考查的一种数学思想.中学数学研究的对象可分为数和形两大部分,数与形是有联系的这个联系称之为数形结合,或形数结合.作为一种数学思想方法,数形结合的应用大致又可分为两种情形:或者借
“Number combination ” refers to the algebraic problem is more visual and intuitive through algebraic problems through the mutual transformation of numbers and forms, and makes the geometric problems more exact by algebraic reasoning .It is the geometry of the 17th century mathematician Descartes invented the coordinate system The problem of algebra, but also the perfect combination of algebra and geometry.The idea of combination of number form the key point of the college entrance examination of a mathematical thinking.Mathematical study of high school mathematics can be divided into two parts and the majority, the number is associated with the shape of this link Call it a combination of number shape, or a combination of shape number.As a mathematical method, the combination of number shape can be roughly divided into two situations: