学生在学习匀变速直线运动的规律的过程中,最难以理解和记忆的就是几个常用推论和比例关系。每当讲到这部分内容,黑板上总是布满了密密麻麻的推导过程,无形中给学生学习和识记这些知识点带来很多困难。笔者在教学过程中尝试用数形结合的方式将这些结论一一呈现,既形象直观便于区别和记忆,也激发了学生对v-t图像的探究欲,课堂效果明显好转。一、几个推论的证明推论一:做匀变速直线运动的物体,在一段时间t内的平均速度v等于这段时间内中间时刻的瞬时速度v_(1/2),还等于这段时间初、末速度矢量和的一半。我们知道:做匀变速直线运动的物体的位移对应 Students learn the law of variable speed linear motion in the process, the most difficult to understand and memory is the number of common inferences and the proportion of relations. Whenever it comes to this part of the blackboard is always covered with a dense deduction process, virtually to students learning and knowledge of these points of knowledge brings many difficulties. The author tries to use the combination of several forms to present these conclusions one by one in the process of teaching, which not only makes the image intuitive and easy to distinguish and memorize, but also stimulates students’ desire to explore v-t images and the classroom effect is obviously improved. First, the corollary of a few corollaries Corollary 1: Do uniformly variable speed linear motion of the object, the average velocity v over a period of time v is equal to the instantaneous velocity v_ (1/2) of the intermediate moment during this period, which is also equal to the beginning of this period , Half the sum of the vectors of the end speeds. We know: do uniformly variable linear motion of the object corresponding to the displacement