期刊文献+
共找到6篇文章
< 1 >
每页显示 20 50 100
探寻问题本质 求解距离最值
1
作者 刘安美 《数学通讯》 2024年第22期38-40,共3页
2024年上海高考第21题是一道以导数为工具的新定义“最近点”问题,本文探寻此类题目的本质,渗透化归转化和数形结合思想,转化为求解距离的最值问题.在课堂教学中,从根本上理解概念本质,重视变式教学,化未知为已知,有效导向核心素养培育。
关键词 “最近点” 距离最值 问题本质 转化化归 数形结合 教学启示
原文传递
专题复习作载体 素养提升为目标--以“函数视角下距离最值问题”的教学设计为例
2
作者 张海宾 吴志勇 《数学通讯》 2024年第14期52-54,61,共4页
高三复习不是对已学知识的简单重复与强化,而是一个再学习、再总结、再反思进而提高综合运用能力的过程,有的放失、精心设计的专题复习课无疑成为了实现这一教学目标的有效手段.本文以“函数视角下距离最值问题”专题复习课为例,从引入... 高三复习不是对已学知识的简单重复与强化,而是一个再学习、再总结、再反思进而提高综合运用能力的过程,有的放失、精心设计的专题复习课无疑成为了实现这一教学目标的有效手段.本文以“函数视角下距离最值问题”专题复习课为例,从引入构建解题模型、提升一拓展解题思路、内化一感知核心素养三个层面进行教学设计,并提出了对专题复习课的一些感悟。 展开更多
关键词 专题复习 函数视角 距离最值 数学模型
原文传递
Interaction analyses between tunnel and landslide in mountain area 被引量:6
3
作者 ZHANG Zhi-guo ZHAO Qi-hua +1 位作者 XU Chen XU Xiao-yang 《Journal of Mountain Science》 SCIE CSCD 2017年第6期1124-1139,共16页
This paper focuses on the analytical derivation and the numerical simulation analyses to predict the interaction influences between a landslide and a new tunnel in mountain areas. Based on the slip-line theory, the di... This paper focuses on the analytical derivation and the numerical simulation analyses to predict the interaction influences between a landslide and a new tunnel in mountain areas. Based on the slip-line theory, the disturbance range induced by tunneling and the minimum safe distance between the tunnel vault and the sliding belt are obtained in consideration of the mechanical analyses of relaxed rocks over the tunnel opening. The influence factors for the minimum safe crossing distance are conducted,including the tunnel radius, the friction angle of surrounding rocks, the inclination angle of sliding belt,and the friction coefficient of surrounding rocks. Secondly, taking account of the compressive zone and relaxed rocks caused by tunneling, the Sarma method is employed to calculate the safety factor of landslide. Finally, the analytical solutions for interaction between the tunnel and the landslide are compared with a series of numerical simulations, considering the cases for different perpendicular distances between the tunnel vault and the sliding belt. Resultsshow that the distance between the tunnel vault and the slip zone has significant influence on the rock stress and strain. For the case of the minimum crossing distance, a plastic zone in the landslide traversed by tunneling would be formed with rather large range, which seriously threatens the stability of landslide. This work demonstrates that the minimum safe crossing distance obtained from numerical simulation is in a good agreement with that calculated by the proposed analytical solutions. 展开更多
关键词 Tunnel excavation Landslide Safe crossing distance Analytical method Numerical simulation
下载PDF
Multi-objective particle swarm optimization by fusing multiple strategies
4
作者 XU Zhenxing ZHU Shuiran 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2022年第3期284-299,共16页
To improve the convergence and distributivity of multi-objective particle swarm optimization,we propose a method for multi-objective particle swarm optimization by fusing multiple strategies(MOPSO-MS),which includes t... To improve the convergence and distributivity of multi-objective particle swarm optimization,we propose a method for multi-objective particle swarm optimization by fusing multiple strategies(MOPSO-MS),which includes three strategies.Firstly,the average crowding distance method is proposed,which takes into account the influence of individuals on the crowding distance and reduces the algorithm’s time complexity and computational cost,ensuring efficient external archive maintenance and improving the algorithm’s distribution.Secondly,the algorithm utilizes particle difference to guide adaptive inertia weights.In this way,the degree of disparity between a particle’s historical optimum and the population’s global optimum is used to determine the value of w.With different degrees of disparity,the size of w is adjusted nonlinearly,improving the algorithm’s convergence.Finally,the algorithm is designed to control the search direction by hierarchically selecting the globally optimal policy,which can avoid a single search direction and eliminate the lack of a random search direction,making the selection of the global optimal position more objective and comprehensive,and further improving the convergence of the algorithm.The MOPSO-MS is tested against seven other algorithms on the ZDT and DTLZ test functions,and the results show that the MOPSO-MS has significant advantages in terms of convergence and distributivity. 展开更多
关键词 multi-objective particle swarm optimization(MOPSO) spatially crowding congestion distance differential guidance weight hierarchical selection of global optimum
下载PDF
2022年高考浙江卷解析几何解答题的探究与变式
5
作者 刘刚 《数学通讯》 2023年第5期16-20,47,共6页
从2022年高考浙江卷解析几何解答题出发,探究了一类有关距离最值或取值范围问题,总结求解这类问题的策略:先立足图形,分析图形特点,然后灵活选取参变量表示出距离,再结合解析式的特点,借助二次函数的性质、均值不等式、三角函数的有界... 从2022年高考浙江卷解析几何解答题出发,探究了一类有关距离最值或取值范围问题,总结求解这类问题的策略:先立足图形,分析图形特点,然后灵活选取参变量表示出距离,再结合解析式的特点,借助二次函数的性质、均值不等式、三角函数的有界性等知识求解。 展开更多
关键词 解析几何 距离最值 范围 解法探究 变式
原文传递
MINIMUM HAUSDORFF DISTANCE UNDER RIGID MOTIONS AND COMPARISON OF PROTEIN STRUCTURES
6
作者 Banghe LI Bo LI Yuefeng SHEN 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2009年第4期560-586,共27页
Hausdorff distance between two compact sets, defined as the maximum distance from a point of one set to another set, has many application in computer science. It is a good measure for the similarity of two sets. This ... Hausdorff distance between two compact sets, defined as the maximum distance from a point of one set to another set, has many application in computer science. It is a good measure for the similarity of two sets. This paper proves that the shape distance between two compact sets in R^n defined by nfinimum Hausdorff distance under rigid motions is a distance. The authors introduce similarity comparison problems in protein science, and propose that this measure may have good application to comparison of protein structure as well. For calculation of this distance, the authors give one dimensional formulas for problems (2, n), (3, 3), and (3, 4). These formulas can reduce time needed for solving these problems. The authors did some data, this formula can reduce time needed to one As n increases, it would save more time. numerical experiments for (2, n). On these sets of fifteenth of the best algorithms known on average. 展开更多
关键词 Hausdorff distance pattern matching pattern recognition protein structure alignment.
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部