解析几何思想方法在数形结合转化中的作用

Function of thinking approach for analytic geometry in the combination and conversion of numerals and geometric forms

根据数学问题的条件与结论之间的内在联系,分析其代数含义,揭示其几何意义,使数量关系和空间形式巧妙地结合起来,实现数量关系和空间形式的相互转化,即通过数形结合的基本方法,达到探求解题思路,解决问题的目的,体现解析几何的思想方法在解题中的应用.

Based on the intrinsic relationship between the conditions and solutions of a mathematic problem, its algebraic meanings are analyzed, and its geometric ones are revealed so that the numerical relationship and geometric forms can be combined ingeniously and their interconversion can be realized, i.e., through the basic method of combining numerals and geometric forms, the way of thinking for a problem is studied and its solution is obtained. This reveals the application of the thinking approach for analytic geometry in the solution of a mathematic problem. 