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所谓形到数的转化是指在取定的坐标系下,使点与坐标对应,曲线和方程对应,在此基础上通过对方程的研究分析曲线的性质.而形到数的转化的作用在于可以提高我们使用几何方法解决代数问题的能力.在平常的教学中要让学生深刻理解每一个代数式,每一种代数变形,每一种代数式演算方法的几何意义.下面通过一个例题说明一下如何用几何方法解决代数问题,实现数到形的转化,以此培养学生创造性思维能力.
The so-called form-to-number conversion refers to the fixed coordinate system, so that the point and coordinate correspondence, curve and equation correspondence, on the basis of the equation through the study of the analysis of the nature of the curve and the number of transformation is the role of Can improve our ability to solve the problem of algebra using geometric methods. In ordinary teaching, students should have a profound understanding of each algebraic, each algebraic deformation, the geometric meaning of each algebraic calculus method. Below an example to illustrate how to use Geometry to solve the algebra problem, to achieve the number-to-form transformation, in order to cultivate students’ creative thinking ability.