几何画板实现数学问题的可视化--以一道高考题为例

Visual Exploration of Mathematical Problems with Geometric Sketchpad--Taking a Maths College Entrance Examination Question as an Example

用几何画板对一道高考数学题进行直观演示,并对结论进行验证,从而获得解题思路;再用传统的演绎推理加以证明,从特殊到一般,对此题的解法进行推广和论证。借助几何画板可以使数学问题可视化探究成为可能,信息技术与数学的深度融合,为数学教学提供一种新的学习环境,有助于培养学生的直觉思维与创新思维,有利于学生的深度学习。

Using Geometric Sketchpad to visually demonstrate a math problem on the college entrance examination and verify the conclusion,the solution to the problem can be obtained.Then,using traditional deductive reasoning to prove it,the solution to this problem from the special to the general can be generalized and demonstrated.With the help of Geometric Sketchpad,it is possible to visualize and explore mathematical problems.The deep integration of information technology and mathematics provides a new learning environment for mathematics teaching,which helps cultivate students'intuitive thinking and innovative thinking,and is conducive to students’deep learning.