数学,我们通常看到的是一门演绎科学,是条理清楚的逻辑推理体系,然而数学的创造过程与其他实验科学的创造过程一样,经历了“观察——(归纳、类比等)提出猜想——检验、修正猜想,增强信念——证明”的道路,在证明之前,必须猜测所证定理的内容,在搞清楚证明细节之前,必须猜想出证明的主导思想。这是数学的另一个侧面。为了开阔思路,能够提出猜想、发现定理,为了找到问题的解法或证法,我们应该学会运用合情 Mathematics, we usually see is a deductive science, is a well-organized logical reasoning system, but the process of creating mathematics and other experimental science as the process of creation, under the “observation - (induction, analogy, etc.) proposed conjecture - - test, correct guess, strengthen faith - proof ”of the road, before the proof, you must guess the contents of the proof theorem, to find out the proof details, you must guess the main idea of ​​proof. This is the other side of mathematics. In order to broaden our thinking, we can make conjectures, discover theorems, in order to find the solution or evidence of the problem, we should learn to use