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“设而不求”和“整体变换”是我们处理解析几何题时常用到的两种方法 .设而不求的运用可以在不求出 (或不能求出 )未知元的情况下 ,绕开复杂的运算过程使问题迅速获解 ;而整体变换的运用 ,可以让我们统观全局 ,完善认知结构 ,获得解题途径 .若把这两种方法巧妙地揉合在一起 ,就会使问题的解决更加简捷优美 ,新颖别致 ,对分析问题和解决问题能力的提高大有裨益 .下面举例加以说明 .
“Set without seeking” and “Overall transformation” are two methods commonly used when dealing with analytical geometry problems. The use of set and unneeded can bypass without knowing (or cannot find) unknown elements. The complex calculation process quickly solves the problem; the use of the overall transformation allows us to view the overall situation, improve the cognitive structure, and obtain solutions to problems. If these two methods are skillfully combined, it will make the problem The solution is more simple and elegant, novel and unique, and it is of great benefit to the analysis of problems and the improvement of the ability to solve problems. The following examples illustrate.