近年来坐标几何型试题备受各地中考命题人员的青睐,而且大都放在压轴题的位置。此类题的特点是综合性强,难度大,区分度高。无论是教师还是学生谈到它时,总有这样的体会:拿几分不难,拿满分不易;解题时抓住表面条件不难,深入进去较难。笔者通过多年对中考压轴题的教学研究,探索出用“三想”(回想、联想、猜想)的方法解此类压轴题效果颇佳。现举例说明如下,以供探讨。 In recent years, coordinate geometry questions have been favored by local proctors, and most of them have been placed on the finale. The characteristics of such questions are comprehensive, difficult, and highly differentiated. Whenever a teacher or a student talks about it, there is always such an experience: It’s not difficult to get a few points, and it’s not easy to get a perfect score. It is not difficult to grasp surface conditions when solving a problem, and it is difficult to go deep into it. Through many years of teaching research on the final exam questions in the Chinese exams, the author has explored the use of “three thoughts” (recall, association, and conjecture) to solve these problems. Examples are illustrated below for discussion.