当|q|<1时,无穷数列{a_1q~(n-1)}的各项和的应用题,在课本上没有例题给学生示范解答,却常见各种“复习资料”或“题解”中用“依此类推”法,但是教师在教学过程中对于这种方法的科学性很值得商榷。 (一) 推敲 下面是从一本颇有影响的“题解辞典”上抄录的一道题及共解答(以下简称“题解”) When |q|<1, the applications of the sums of the infinite series {a_1q~(n-1)} have no examples in the textbook for the students to demonstrate the answers, but various kinds of “review materials” or “solutions” are common. Using “and so on” method, but the scientific nature of this method for teachers in the teaching process is very debatable. (1) scrutiny The following is a transcript from a very influential “question solution dictionary” and a total solution (hereinafter referred to as “solution”).