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近年来,高考试题中已出现过这类题目,它是高考的热点之一,它可以培养学生的创造性思维。因此,应加强训练,这种题型是：第一步给出命题结构；第二步要求学生算出最初的三个至四个初始值,第三步要求学生通过已计算出的初始值,应用不完全归纳法,发现其命题一般性规律,作出科学的猜想和判断——敢于猜想,最后用数学归纳法对所做猜想——般性结论,作出完整科学的证明。
In recent years, there have been such questions in the high test questions. It is one of the hot spots in the college entrance examination. It can cultivate students’ creative thinking. Therefore, training should be strengthened. This type of question is: the first step gives the propositional structure; the second step asks the students to calculate the initial three to four initial values; and the third step asks the students to apply the initial values that have been calculated. Incomplete induction, discovering the general laws of its propositions, making scientific conjectures and judgments—dare to conjecture, and finally using mathematical induction to make conjectures—general conclusions—to make a complete scientific proof.