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在中学,乃至大学的数学,都应该提倡“形数结合”,解析几何的诞生正是形数结合的光辉范例,在解析几何中,我们都知道,通过量(坐标)的演算,给许多几何问题提供了准确而又普遍的解法;反过来,给数与算式赋以适当的几何意义,又可借助图形的几何性质和直观形象,使困难的问题迎刃而解,同时,图形生动鲜明的形象,既便于理解又易于记忆,因此,这借几何直观解决问题的方法,倍受广大师生的青睐,近年来,出现了不少这方面的好文章,对数学的教学和传播起了很大的推动作用,然而,图形的描绘,显然不可能达到100％的精确,特别是较为复杂的图形;图形的多
In middle school and even university mathematics, we should advocate “combination of shapes and numbers.” The birth of analytical geometry is a glorious example of the combination of numbers. In analytical geometry, we all know that through the calculation of quantities (coordinates), many geometric The problem provides an accurate and universal solution; in turn, given numbers and formulas with appropriate geometric meanings, but also with the help of graphical geometric properties and intuitive images, difficult problems can be solved, at the same time, the graphic vivid and vivid image, both It is easy to understand and easy to remember. Therefore, this method of solving problems intuitively by geometry has attracted the favor of teachers and students. In recent years, there have been many good articles in this area, which have greatly promoted the teaching and dissemination of mathematics. The role, however, of the graphical depiction is obviously impossible to achieve 100% accuracy, especially for more complex graphics;