由一道高考题引发的研究性学习

为培养学生的创新意识和实践能力，在新课程的改革中，研究性学习已经走进中学数学课堂，从而使得研究性学习进入高考和中考试题的趋势不可阻挡。在中学数学教学中，如果教师善于引导学生研究一些难易适中的典型问题，那么可使学生掌握数学的思维方法，提高学生分析问题和解决问题的能力。为此，文章对一道高考题的解法、推广、引中、应用等作了研究，这样做，恰与素质教育要求的“要重视知识的形成过程和发展过程，培养学生的创新意识和实践能力”的本质相吻合，同时对于高考复习也有较强的应对性。

Research Learning from a Mathematics Problem on College Entrance Examination

During the reform of the new courses, research learning has come into the mathematics classroom teaching in middle school for the purpose of developing students' innovation consciousness and their practical ability. This has made it an inevitable trend that research learning has come into high school and college entrance examination questions. If teachers are good at guiding the students to do some typical questions of moderate difficulty, students can grasp the way of thinking and improve their ability to analyse and solve the mathematics problems. Therefore, the paper studies the application and the popularization of a college entrance examination mathematics problem as well as the solution and the extension to it. Doing this is identical with the essence required by character education that is to pay attention to the forming and developing process of knowledge, to develop students' innovation consciousness and their practical ability. Doing this also aims greatly at reviewing for college entrance examination.