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在解决图形一般情形下问题时要善于先研究问题在特殊情况下图形的性质以及发现问题结论的方法,在此探究的过程中获得启发和感悟,进而合情推理猜想一般情况问题的结论,类比尝试迁移解题方法去处理问题的一般情形,这是我们研究数学问题,进行数学猜想和证明常用的思维策略.课本习题:如图1,在一张透明胶片上画正方形ABCD,对角线AC、BD相交于点O;如图2在另一张透明胶片上画正方形A’B’C’D’,并且A’B’大于12AC,如图3,叠合两张透明胶片,使点
In solving the general situation of graphics, we should be good at first studying the nature of the graphics under special circumstances and the methods of finding the conclusions of the problems. During this process of exploration, we can obtain the inspiration and sentiment, and then make the conclusion of the general situation of the conjecture, Trying to migrate the problem-solving method to handle the general case of a problem is a common thinking strategy for us to study math problems, make mathematical conjectures and prove them. Textbook Exercises: As shown in Figure 1, draw a square ABCD and a diagonal AC , BD intersects at point O; as shown in Figure 2, draw a square A’B’C’D ’on another transparencies, and A’B’ is greater than 12AC, as shown in Figure 3, superimpose two transparencies so that the dot