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关于等腰三角形三边斜率的一个定理及其工程应用
引用本文:王学功,李学山,施奇. 关于等腰三角形三边斜率的一个定理及其工程应用[J]. 水利水电技术, 2005, 36(2): 48-50
作者姓名:王学功  李学山  施奇
作者单位:安徽省,水利部淮河水利委员会,水利科学研究院,安徽,蚌埠,233000;安徽省,水利部淮河水利委员会,水利科学研究院,安徽,蚌埠,233000;安徽省,水利部淮河水利委员会,水利科学研究院,安徽,蚌埠,233000
摘    要:由水利工程实例提出的数学问题得到式(1)定理,进而得到等腰三角形三边斜率之间的关系式(2).式(1)是有条件成立的.式(2)用于反弧段廓线计算,可将原超越函数问题变成可迭代求解问题,这大大方便了工程设计.

关 键 词:定理  等腰三角形  三边斜率  WES曲线  溢流坝反弧段
文章编号:1000-0860(2005)02-0048-03
修稿时间:2004-07-14

A theorem for slopes of three sides in isosceles triangle and its engineering application
WANG Xue-gong,LI Xue-shan,SHI Qi. A theorem for slopes of three sides in isosceles triangle and its engineering application[J]. Water Resources and Hydropower Engineering, 2005, 36(2): 48-50
Authors:WANG Xue-gong  LI Xue-shan  SHI Qi
Abstract:The theorem of eq.1 that is conditionally tenable is obtained from the mathematic questions raised from the actual construction cases hereinafter; and then the relation between the slopes of the three sides in isosceles triangle is reached by eq.2, which is found to be more convenient for the engineering design, as it can convert the primal question of transcendental function into that of iterative solution, when the profile of ogee section of a spillway dam is designed.
Keywords:theorem  isosceles triangle  slopes of three sides  WES curve  ogee section of spillway dam  
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