请画出光路图---**Extracted Content:** **Question Stem:** 1. 如图所示,一棱镜的截面为直角三角形ABC,∠A=30°,斜边AB=a,棱镜材料的折射率为√2,在此截面所在的平面内,一条光线以45°的入射角从AC边的中点M射入棱镜(不考虑光线沿原路返回的情况) **Sub-questions:** (1) 请画出光线从射入到射出棱镜的光路图; (2) 求光线从棱镜射出的点的位置。 **Other Relevant Text (from Question Stem):** * **Prism Cross-section:** Right-angled triangle ABC. * **Angle A:** ∠A=30°. * **Hypotenuse:** AB=a. * **Refractive Index of Prism Material:** n = √2. * **Plane:** Within the plane of this cross-section. * **Light Ray:** A light ray. * **Angle of Incidence:** 45°. * **Point of Entry:** From the midpoint M of side AC. * **Condition:** (Do not consider the case where light travels back along its original path). **Chart/Diagram Description:** * **Type:** Geometric figure representing the cross-section of a prism, illustrating an optical setup with an incident light ray. * **Main Elements:** * **Prism Shape:** A triangle labeled ABC. * **Vertices:** Labeled A, B, C. * Vertex C appears to be the right-angle vertex, indicated by a small square symbol. * Vertex A has an angle labeled 30°. * **Sides:** AC, CB, AB. Side AB is positioned horizontally at the bottom. * **Points:** * M: A point on side AC, described as the midpoint of AC in the problem text. * F: A point on side AB, positioned roughly below M. * **Incident Light Ray:** An arrowed line approaching point M from the top-left outside the triangle. * **Normal Line:** A dashed line drawn perpendicular to side AC at point M, extending into and out of the prism. * **Angle of Incidence:** The angle between the incident light ray and the dashed normal line at M is labeled 45°. * **Internal Ray:** A segment of a line originating from M and extending into the interior of the prism, indicating the path of the light after refraction. * **Relative Position:** The light ray enters the prism through side AC, which is the hypotenuse in relation to the triangle formed by A, M, and a point on the normal (if AC is the hypotenuse). However, the text states ABC is a right-angled triangle, and based on the drawing, C is the right angle, making AB the hypotenuse. The incoming light ray hits the side AC.

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