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数列是高中数学的重要内容之一,是衔接初等数学与高等数学的桥梁,在高考中占有非常重要的地位。近几年的高考都把数列作为核心内容来考查,难度有所降低,但创意不断,常考常新。一般地,对于题中给出了明确的结论,或者结论不稳定,需要解题者通过观察、分析、归纳出结论或判断结论的问题(探索结论),或者虽给出了问题的明确结论,但条件不足或未知,需要解题者寻找充分条件并加以证明的问题(探究条件),称为探究性问题。
The series is one of the important contents of high school mathematics. It is a bridge that bridges elementary mathematics and advanced mathematics, and occupies a very important position in the college entrance examination. In recent years, the college entrance examination has examined the series as the core content, and the difficulty has been reduced. In general, given the clear conclusions of the questions, or the conclusions are unstable, the problem solver needs to observe, analyze, summarize, or judge the conclusions (exploration conclusions), or give a clear conclusion of the problem, though However, the conditions are insufficient or unknown, and the problem-solver needs to find sufficient conditions to prove the problem (inquiring conditions), which is called an inquiry problem.