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本刊2003年第4期和2002年第2期各有一篇文章对“两相交平面镜间物体的成像个数”问题进行了讨论,笔者也见其它刊物有多篇文章就该问题进行过讨论,但均未得出普遍的、任意夹角、任意(物点)位置的成像个数的表达式和计算方法。本文拟推导出这一表达式及其运用方法,而且读者易学、易记、易使用。1 成像个数规律研究 为了说明笔者的思维方法,先以一个实际的例子来说明。如图1所示,两平面镜M_1和M_2之间夹角为θ
In the 4th issue of 2003 and the 2nd issue of 2002, there was an article discussing the issue of “the number of objects between two intersecting plane mirrors”. The author also saw several articles in other publications discussing this issue. However, the expressions and calculation methods for the number of images for general, arbitrary angles, and arbitrary (points) positions have not been found. This article intends to derive this expression and its application methods, and the reader is easy to learn, easy to remember, and easy to use. 1 Study of the law of the number of images In order to illustrate the author’s way of thinking, first to illustrate with a practical example. As shown in Figure 1, the angle between two mirrors M_1 and M_2 is θ.