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数学是思维科学,也是实验科学.数学中的推理不仅包含分析、综合、概括等演绎推理方式,而且包括观察、实验、归纳、猜想、调整等合情推理方式,以此为背景的数学命题,能培养学生数学探索能力和创新能力.例1直线上有n个点,我们进行如下的操作:每相邻两点间插入1个点,经过10次操作,
Mathematics is thinking science and also experimental science. In mathematics, reasoning not only includes deductive reasoning methods such as analysis, synthesis, and generalization, but also includes conditional reasoning such as observation, experimentation, induction, guessing, and adjustment. Can cultivate students’ ability of exploring mathematics and innovating ability. Example 1 There are n points on the straight line. We perform the following operations: Insert 1 point between two adjacent points, after 10 operations,