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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.

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.

参考文献

[1] 武汉水利电力学院水动力学教研室.水力计算手册[M].北京:水利出版社,1980.

[2] ChowVenTe.OpenChannelHydraulics[M].1959.

[3] 江西省水利科学研究所.中小型水库宽浅式溢洪道水力设计[J].水利科技,1978,(增刊).

[4] 数学题解辞典编辑委员会.数学题解辞典·平面解析几何[M].上海:辞书出版社,1983.

[5] ИИ勃立瓦洛夫.解析几何学[M].北京:高等教育出版社,1956.

基本信息:

中图分类号:TV652

引用信息:

[1]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(02):48-50.

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