首先提出了几何思维的概念，它是指以几何图形为符号语言。运用几何知识。采用必要的几何图形表现工具进行的思维过程。
The article puts forward the concept of geometrical thinking, which is a process to use the geometrical language, geometrical knowledge and essential geometrical tools to think.
通过构造不同的图形去解一个几何概型问题，联想到发散思维能力的培养。
By structuring different figure to work out a geometry problem, this article associates to foster divergence thoughts.
利用基本三角恒等式、物理学中几何光学知识和几何画板软件等三种思维方法，来探讨一个最短时间问题的解法。
The author explores the solution to the best time problem according to three ways of thinking, including basic trigonometric identity, geometrical optics of physics and Geometer's Sketchpad.
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