转化是解数学题的一种重要的思维方法,加强这方面的训练,有利于培养学生思维的灵活性。 1 把抽象问题转化为具体问题由于中学生的形象思维比较成熟,而抽象思维能力比较差,因此解题时,对于抽象问题的思考往往比较困难。如果我们能把一些抽象问题转化为具体问题考虑,那么问题就容易解决得多了。例1 已知等差数列(a_n)的公差d≠0,且a_1、a_2、a_3,成等比数列,则(a_1+a_3+a_9)/(a_2+a_4+a_(10))的值是__。(92年全国高考试题) Transformation is an important way of thinking in solving mathematics problems. Strengthening training in this area is conducive to cultivating students’ flexibility in thinking. 1 Translating abstract issues into concrete problems As the image thinking of middle school students is more mature and the abstract thinking ability is relatively poor, it is often difficult to think about abstract issues when solving problems. If we can turn some abstract problems into specific problems, then the problems will be solved more easily. Example 1 The known tolerance sequence (a_n) has a tolerance of d≠0, and a_1, a_2, a_3, and the like are arrays. Then the value of (a_1+a_3+a_9)/(a_2+a_4+a_(10)) is __. (92 National Examination Questions)