论文部分内容阅读
凸透镜成象问题中,象移动的速度和物移动的速度关系,中学教学中一般用作图法进行定性分析,有文章认为限于初等数学,无法用严密的数学方法进行论证。笔者认为,在中学数学知识范围内,这类问题有更易于被人们接受和定量计算的方法。现介绍如下。设位于一凸透镜主光轴上某处的物点P到凸透镜光心的距离为u(物距)时,其相应的象距为υ;若物距发生微小的变化Δu,象距相应地发生微小的变化Δυ,则有:
Convex lens imaging problems, such as the relationship between the speed of movement and the speed of movement of objects, in the teaching of middle school are generally used as a qualitative analysis of maps, some articles that are limited to elementary mathematics, can not be demonstrated with strict mathematical methods. The author believes that in the context of middle school mathematics knowledge, such problems are more easily accepted and quantitatively calculated. The introduction is as follows. Let the distance P from a point P on a principal optical axis of a convex lens to the optical center of a convex lens be u (object distance), and the corresponding image distance be υ; if a slight change Δu occurs in the object distance, the image distance occurs accordingly. Minor changes in Δυ are: