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随着高考自主命题省份的增加,参与高考命题的大学教授与数学专家也将多起来,所以在不超纲的前提下,以高等数学知识与方法作背景的高考试题肯定会越来越多,值得我们予以关注。类别三:以“数列”为背景例1(2007年湖北卷).已知两个等差数列{a_n}和{b_n}的前n项和分别为A_n和B_n,且A_n/B_n=(7n+45)/(n+3),则使得a_n/b_n为整数的正整数n的个数是()
With the increase of college entrance examination autonomous propositions, there will be more university professors and mathematics experts participating in college entrance examination propositions. Therefore, under the premise of not being oversubscribed, higher exam questions with advanced mathematics knowledge and methods will surely become more and more. It is worth our attention. Category 3: Take the “number column” as background. Example 1 (Hubei, 2007). The first n terms of the two arithmetic sequences {a_n} and {b_n} are known to be A_n and B_n respectively, and A_n/B_n= (7n+45)/(n+3), the number of positive integers n that make a_n/b_n an integer is ()