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基于探究式学习,培养数学研究能力--以函数性质教学为例
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作者 金永涛 《中国数学教育(高中版)》 2023年第1期35-37,49,共4页
依托探究式学习,设置函数性质研究任务,借助函数解析式,引导学生进行类比、联想和迁移思考,系统研究函数性质,实现对函数性质的深刻理解,构建起研究函数性质的系统方法,提高数学思维能力和数学研究能力.
关键词 探究式学习 函数解析式 数学思维能力 数学研究能力
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一道考研数学题的源与流 被引量:2
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作者 刘蒋巍 《高等数学研究》 2020年第6期13-14,41,共3页
通过研究2020年全国硕士研究生入学考试数学(二)第20题的“源”与“流”,以帮助学生理解试题的来源,感悟数学问题的生成,思考数学问题的推广,提升学生研究数学问题的能力.
关键词 研究生入学考试 源与流 研究数学问题的能力
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中文简版《基于研究的早期数学能力评估测验》的修订 被引量:3
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作者 杨琼 谢庆斌 吴念阳 《幼儿教育(教育科学)》 2020年第1期42-46,共5页
本研究以修订中文简版《基于研究的早期数学能力评估测验》为目的,基于上海市两所幼儿园223名4~6岁儿童的测验得分反馈,通过对测验中的题项进行项目分析、信度分析和效度分析,形成了正式的中文简版《基于研究的早期数学能力评估测验》.... 本研究以修订中文简版《基于研究的早期数学能力评估测验》为目的,基于上海市两所幼儿园223名4~6岁儿童的测验得分反馈,通过对测验中的题项进行项目分析、信度分析和效度分析,形成了正式的中文简版《基于研究的早期数学能力评估测验》.测验包括数理能力和空间几何能力两个维度,共17个项目,内部一致性信度和与数学学习品质的校标关联效度达到心理学测量要求,可作为测量4~6岁儿童数学能力的工具. 展开更多
关键词 4~6岁儿童 《基于研究的早期数学能力评估测验》 信度 效度
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Numerical Study of Effects of Mach number on Aerodynamic Performance of Large Enthalpy Drop Stationary Cascade
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作者 SHI Yuwen YAN Peigang HAN Wanjin 《Journal of Thermal Science》 SCIE EI CAS CSCD 2014年第3期223-232,共10页
Based on the method to change blade loading type along blade height, that is, applying aft-loading at both end zones of cascade while applying fore-loading in the mid zone of cascade, HTC(Harbin Turbine Company) desig... Based on the method to change blade loading type along blade height, that is, applying aft-loading at both end zones of cascade while applying fore-loading in the mid zone of cascade, HTC(Harbin Turbine Company) designed a twisted and bowed stationary cascade with low aspect ratio and large enthalpy drop. To verify the aerodynamic performance of such cascade, firstly, low-speed wind tunnel tests were conducted to validate the calculation results of commercial software CFX, and then numerical simulations were made for the aerodynamic performance of the cascade at different Mach numbers. The simulation results show that the large enthalpy drop stationary cascade designed by HTC can offer good aerodynamic performance while keeping its high-load characteristics in the change range of outlet Mach number as stated in this paper. 展开更多
关键词 large enthalpy drop turbine blade low aspect ratio fore-loading aft-loading
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Numerical Investigation of the Interaction between Mainstream and Tip Shroud Leakage Flow in a 2-Stage Low Pressure Turbine
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作者 JIA Wei LIU Huoxing 《Journal of Thermal Science》 SCIE EI CAS CSCD 2014年第3期215-222,共8页
The pressing demand for future advanced gas turbine requires to identify the losses in a turbine and to understand the physical mechanisms producing them. In low pressure turbines with shrouded blades, a large portion... The pressing demand for future advanced gas turbine requires to identify the losses in a turbine and to understand the physical mechanisms producing them. In low pressure turbines with shrouded blades, a large portion of these losses is generated by tip shroud leakage flow and associated interaction. For this reason, shroud leakage losses are generally grouped into the losses of leakage flow itself and the losses caused by the interaction between leakage flow and mainstream. In order to evaluate the influence of shroud leakage flow and related losses on turbine performance, computational investigations for a 2-stage low pressure turbine is presented and discussed in this paper. Three dimensional steady multistage calculations using mixing plane approach were performed including detailed tip shroud geometry. Results showed that turbines with shrouded blades have an obvious advantage over unshrouded ones in terms of aerodynamic performance. A loss mechanism breakdown analysis demonstrated that the leakage loss is the main contributor in the first stage while mixing loss dominates in the second stage. Due to the blade-to-blade pressure gradient, both inlet and exit cavity present non-uniform leakage injection and extraction. The flow in the exit cavity is filled with cavity vortex, leakage jet attached to the cavity wall and recirculation zone induced by main flow ingestion. Furthermore, radial gap and exit cavity size of tip shroud have a major effect on the yaw angle near the tip region in the main flow. Therefore, a full calculation of shroud leakage flow is necessary in turbine performance analysis and the shroud geometric features need to be considered during turbine design process. 展开更多
关键词 tip shroud leakage flow entropy rise low pressure turbine aerodynamic loss
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