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高中数学自制教具的创新实践及策略分析
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作者 孙家和 朱金凤 《中国数学教育(高中版)》 2024年第1期23-26,共4页
以人教A版《普通高中教科书·数学》的教学实践为基础,类比圆规和圆第二规教具的发明过程,从圆锥曲线轨迹的实验原理抽象出数学模型,启发学生制作抛物线规、圆锥曲线规.总结自制教具的原理和一般方法,为学生设计其他数学教具提供参... 以人教A版《普通高中教科书·数学》的教学实践为基础,类比圆规和圆第二规教具的发明过程,从圆锥曲线轨迹的实验原理抽象出数学模型,启发学生制作抛物线规、圆锥曲线规.总结自制教具的原理和一般方法,为学生设计其他数学教具提供参考,从而培养学生的创新意识和实践能力,发展学生的数学抽象和数学建模等素养. 展开更多
关键词 教具 抛物线规 圆锥曲线
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Oxidation behavior of Hastelloy C-2000 superalloy at 800 °C and 1000 °C 被引量:2
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作者 袁亮 胡锐 +2 位作者 张铁邦 李金山 张小庆 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2015年第1期354-362,共9页
The oxidation behavior of Hastelloy C-2000 alloy was investigated in air at 800 °C and 1000 °C for 100 h, respectively. Oxidation kinetics and oxide scales morphologies were examined by mass gain measurement... The oxidation behavior of Hastelloy C-2000 alloy was investigated in air at 800 °C and 1000 °C for 100 h, respectively. Oxidation kinetics and oxide scales morphologies were examined by mass gain measurement, scanning electron microscopy(SEM), X-ray diffraction(XRD) and X-ray photoelectron spectroscopy(XPS). The oxidation behavior of the alloy approximately follows a parabolic rate law. Moreover, annealing twins defect structure in matrix deteriorates the oxidation resistance of alloy due to the improvement of diffusion rates for alloying elements and oxygen atoms. At 800 °C, the microstructure is primarily composed of Ni O and Cr1.3Fe0.7O6 and the initial annealing twins structure is visible and Mo-rich phases are emerged to approach boundary of oxide scales. At 1000 °C, however, the morphology microstructure of oxide scales consists of oxide particle with fine Cr oxides and large Ni oxides by inlaying each other, whilst Mo-rich phases hardly appear closing to the interface of oxide scales. 展开更多
关键词 oxidation behavior Hastelloy C-2000 alloy parabolic rate law annealing twins Mo-rich phase
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The properties of dilute debris flow and hyper-concentrated flow in different flow regimes in open channels 被引量:1
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作者 LIU Yan WANG Hui-feng +2 位作者 CHEN Hua-yong HU Kai-heng WANG Xie-kang 《Journal of Mountain Science》 SCIE CSCD 2017年第9期1728-1738,共11页
Particle Image Velocimetry(PIV) technique was used to test the analogues of hyperconcentrated flow and dilute debris flow in an open flume. Flow fields, velocity profiles and turbulent parameters were obtained under d... Particle Image Velocimetry(PIV) technique was used to test the analogues of hyperconcentrated flow and dilute debris flow in an open flume. Flow fields, velocity profiles and turbulent parameters were obtained under different conditions. Results show that the flow regime depends on coarse grain concentration. Slurry with high fine grain concentration but lacking of coarse grains behaves as a laminar flow. Dilute debris flows containing coarse grains are generally turbulent flows. Streamlines are parallel and velocity values are large in laminar flows. However, in turbulent flows the velocity diminishes in line with the intense mixing of liquid and eddies occurring. The velocity profiles of laminar flow accord with the parabolic distribution law. When the flow is in a transitional regime, velocity profiles deviate slightly from the parabolic law. Turbulent flow has an approximately uniform distribution of velocity and turbulent kinetic energy. The ratio of turbulent kinetic energy to the kinetic energy of time-averaged flow is the internal cause determining the flow regime: laminar flow(k/K<0.1); transitional flow(0.1< k/K<1); and turbulent flow(k/K>1). Turbulent kinetic energy firstly increases with increasing coarse grain concentration and then decreases owing to the suppression of turbulence by the high concentration of coarse grains. This variation is also influenced by coarse grain size and channel slope. The results contribute to the modeling of debris flow and hyperconcentrated flow. 展开更多
关键词 Hyper-concentrated flow Debris flow Flow regime Velocity profile Turbulent kinetic energy Open channel
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Modeling of growth stress gradient effect on the oxidation rate at high temperature 被引量:2
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作者 Fan YANG Bin LIU Dai-ning FANG 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2010年第10期789-793,共5页
A new oxidation kinetics model is established for high-temperature oxidation. We assume that the interface reaction is fast enough and the oxidation rate is controlled by diffusion process at high temperature. By intr... A new oxidation kinetics model is established for high-temperature oxidation. We assume that the interface reaction is fast enough and the oxidation rate is controlled by diffusion process at high temperature. By introducing the growth stress gradient we modify the classical oxidation parabolic law. The modified factor of the oxidation rate constant is a function of growth strain, environment oxygen concentration, and temperature. The modeling results show that the stress gradient effect on the oxidation rate cannot be ignored. Growth strain will dominate whether the stress gradient effect promotes or slows down the oxidation process. The stress gradient effect becomes weaker at higher temperature. This effect is amplified at higher concentrations of environmental oxygen. Applied mechanical loads do not affect the oxidation rate. This model is available for high temperature oxidation of metals and alloys. 展开更多
关键词 High temperature MODELING Growth stress gradient Oxidation rate
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Qualitative Analysis and Explicit Exact Solitary,Kink and Anti-Kink Wave Solutions of the Generalized Nonlinear Schrdinger Equation with Parabolic Law Nonlinearity
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作者 何斌 蒙清 《Communications in Theoretical Physics》 SCIE CAS CSCD 2016年第1期1-10,共10页
The generalized nonlinear Schrdinger equation with parabolic law nonlinearity is studied by using the factorization technique and the method of dynamical systems.From a dynamic point of view,the existence of smooth so... The generalized nonlinear Schrdinger equation with parabolic law nonlinearity is studied by using the factorization technique and the method of dynamical systems.From a dynamic point of view,the existence of smooth solitary wave,kink and anti-kink wave is proved and the sufficient conditions to guarantee the existence of the above solutions in different regions of the parametric space are given.Also,all possible explicit exact parametric representations of the waves are presented. 展开更多
关键词 vSchrodinger equation with parabolic law nonlinearity qualitative analysis smooth solitary wave kink and anti-kink wave explicit exact parametric representation
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