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1.问题的提出初、高中物理课本的几何光学中均有类似图1的光路图,从图1中看A’点明显在A点的右上方.爱思考的学生常问A’点为什么在A点的右上方?2.问题的证明分析建立如图2所示的坐标系,利用解析几何知识求出两条折射光线所在直线的交点A’的横坐标x.若x=0,A’点在A点的正上方;若x<0,A’点在A点的左上方;若x>0,A’点在A点的右上方.证明令A(0,-h),则
1. The problem has been proposed. The geometry of optics in high school physics textbooks is similar to the light path diagram of Figure 1. From Figure 1, the A’ point is clearly at the top right of point A. The student who loves thinking often asks why A’ The upper right of point A?2.Proof analysis of the problem Establish a coordinate system as shown in Fig.2, and use analytical geometry knowledge to find the abscissa of the point of intersection A’ of the line where the two refracted rays are located. If x=0, A’ The point is directly above point A; if x<0, point A’ is at the upper left of point A; if x> 0, point A’ is at the upper right point A. Proof A (0,-h), then