影院座位的安排
he arrangement of cinema seat
本文用直线夹角公式导出了最大视角公式，从离散化的思想出发，经过一系列的条件简化，在主要考虑影响满意度的视角因素的基础上，用数列求和定义了平均视角函数，对地板线倾角以步长0.1度搜索最优解，求得倾角为17.4度时平均视角最大为5.75度，其中第1排视角最大（8.8度），最佳位置需根据给出影响满意度因素的权值具体来定，一般是前1、2排居中位置。 关于如何进一步提高观众满意度，本文搜索了包络线是直线时的情况，当倾角为7.1度，第1排、最后一排的地板线高度分别为1.8m、3.4m时，平均视角最大为5.92度，其中第1排视角最大（10度）。 模型推广中，本文考虑了观众座高不等这一随机因素给理想模型带来的影响，并考虑了空间设计的问题。
his paper clipped the beeline inclination formula to lead the biggest angle of view formula with the straight line, from the thought of discretization set out, through a series of condition simplification, using sum for a sequence of number to define average angle of view function with the few rows in mainly considering the foundation of the angle of view factor of influence the satisfaction, to the floor line’s obliquity with trod to grow 0.1 degrees to search the superior solution, the average angle of view was the biggest for 5.75 degrees while begging the obliquity as 17.4 degrees, among them one row angle of view was the biggest(8.8 degrees), the best position needed a basis the influence satisfaction factor to of the power value was concrete to settle, generally is front 1,2 lines of in the centers position. Concerning how raise the audience satisfaction further, this text\
刘学智
工程设计、工程测绘
视角 平均满意度 数列求和 包络线
angle of view average satisfaction sum for a sequence of number envelope of family of curves
刘学智.影院座位的安排[EB/OL].(2006-08-30)[2025-08-18].http://www.paper.edu.cn/releasepaper/content/200608-333.点此复制
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