轴对称凸域的包含测度  

Containment measures of axisymmetric convex domains

作　　者：赵江甫 刘海[2] ZHAO Jiangfu;LIU Hai(Department of Mathematics and Physics,Fujian Jiangxia University,Fuzhou 350108,China;National Engineering Research Center for E-Learning,Central China Normal University,Wuhan 430079,China)

机构地区：[1]福建江夏学院数理教研部,福建福州350108 [2]华中师范大学国家数字化学习工程技术研究中心,湖北武汉430079

出　　处：《浙江大学学报（理学版）》2022年第2期175-183,共9页Journal of Zhejiang University（Science Edition）

基　　金：国家自然科学基金资助项目(61875068);福建省教育厅中青年教师教育科研基金资助项目(JT180585,JAT210360);福建江夏学院科研培育人才基金资助项目(JXZ2019016).

摘　　要：为研究轴对称凸域的包含测度,以等腰梯形域为例,采用直线的广义法式方程,给出了等腰梯形域的广义支持函数与限弦函数的解析式。采用限弦函数法,得到了等腰梯形域的包含测度,并取消了“等腰梯形的高不超过梯形的最短底边长”这一限制条件。In order to analyze the containment measures of axisymmetric convex domains,this paper takes the isosceles trapezoid as an example.The generalized support function and restricted chord function of an isosceles trapezoid domain are obtained by employing generalized French equation of a straight line.Based on these,the containment measure of an isosceles trapezoid domain is derived without the constraint that the height of an isosceles trapezoid does not exceed its shortest base edge is omitted.

关 键 词：包含测度 广义支持函数 限弦函数 Buffon问题 运动测度 

分 类 号：O186.5[理学—数学]