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蝉花菌丝抑制ApoE^(-/-)小鼠骨髓来源巨噬细胞脂质蓄积与增殖作用研究
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作者 楼彩霞 代路路 +1 位作者 王弋 龙淑娴 《中国药业》 2026年第6期71-74,共4页
目的探讨蝉花菌丝(CSM)对ApoE^(-/-)小鼠骨髓来源巨噬细胞脂质蓄积和细胞增殖的影响。方法将48只SD大鼠随机分为对照组(等体积蒸馏水),罗格列酮组(2.5 mg/kg)及CSM-1低、高剂量组(LD,HD,0.6,1.8 g/kg),CSM-2低、高剂量组(LD,HD,1.2,3.6 ... 目的探讨蝉花菌丝(CSM)对ApoE^(-/-)小鼠骨髓来源巨噬细胞脂质蓄积和细胞增殖的影响。方法将48只SD大鼠随机分为对照组(等体积蒸馏水),罗格列酮组(2.5 mg/kg)及CSM-1低、高剂量组(LD,HD,0.6,1.8 g/kg),CSM-2低、高剂量组(LD,HD,1.2,3.6 g/kg),CSM-3低、高剂量组(LD,HD,1.2,3.6 g/kg),各6只。灌胃蒸馏水或相应药物(1 mL/100 g),每天1次,持续5 d。末次给药后1.5 h时,采集血液,制备含药血清;取ApoE^(-/-)小鼠骨髓,收集巨噬细胞。油红O染色,观察乙酰化低密度脂蛋白(Ac-LDL 20μg/mL)及含药血清(10%)作用24 h时的细胞脂质蓄积程度。采用MTT法检测脂多糖(LPS,10μg/mL)及含药血清(10%)作用48 h、72 h时的细胞增殖情况。结果与对照组比较,CSM各组细胞脂质蓄积面积/细胞总面积均显著降低(P<0.05或P<0.01);CSM-1 HD组和CSM-3 LD组LPS孵育48 h时的细胞增殖率均显著降低,CSM-2 LD组、CSM-3 LD组和CSM-3 HD组LPS孵育72 h时的细胞增殖率均显著降低(P<0.05或P<0.01)。结论CSM具有改善动脉粥样硬化的潜在作用,其机制可能与抑制骨髓来源巨噬细胞脂质蓄积,以及抑制炎性介质干预下的该细胞增殖有关。 展开更多
关键词 蝉花菌丝 apoE^(-/-)小鼠 巨噬细胞 脂质蓄积 细胞增殖
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APOS理论下等差数列的教学研究
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作者 郭聪 赵雪 《教育进展》 2026年第2期1225-1229,共5页
数列作为刻画离散数学模型的重要工具,是连接初等数学与高等数学的关键桥梁。在新高考改革全面推进与《普通高中数学课程标准》深入实施的背景下:数列,特别是等差数列的教学被赋予了新的内涵与要求。本研究旨在深入剖析等差数列在高中... 数列作为刻画离散数学模型的重要工具,是连接初等数学与高等数学的关键桥梁。在新高考改革全面推进与《普通高中数学课程标准》深入实施的背景下:数列,特别是等差数列的教学被赋予了新的内涵与要求。本研究旨在深入剖析等差数列在高中数学课程体系中的核心地位与教学价值。通过对人教A版教材的结构化分析,厘清等差数列内容的知识脉络与编排逻辑。进而,以杜宾斯基等人提出的APOS理论(操作–过程–对象–图式)为框架,构建等差数列概念、通项公式及前n项和公式的渐进式教学模式。将等差数列置于新高考强调的“突出本质、体现综合、重视应用、彰显素养”的命题导向下审视,并结合建构主义的APOS理论进行教学设计,能有效促进学生从具体操作到抽象思维、从孤立知识点到系统知识网络的认知建构,从而不仅掌握等差数列的知识技能,更能发展数学抽象、逻辑推理、数学建模等核心素养。 展开更多
关键词 等差数列 教材分析 apoS理论 概念教学
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基于APOS理论的初中生代数思维培养策略探究
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作者 吴荣 《数学学习与研究》 2026年第5期42-45,共4页
初中阶段是学生从算术思维向代数思维过渡的关键时期,这一阶段的思维转型直接影响数学学习的后续发展.当前,部分初中生在代数学习中存在符号理解困难、数学关系建立不牢固等问题,传统教学模式难以有效解决这些痛点.文章首先剖析了APOS... 初中阶段是学生从算术思维向代数思维过渡的关键时期,这一阶段的思维转型直接影响数学学习的后续发展.当前,部分初中生在代数学习中存在符号理解困难、数学关系建立不牢固等问题,传统教学模式难以有效解决这些痛点.文章首先剖析了APOS理论的基本内涵,然后结合初中代数教学实际,对设计情境感知、经验概括、推理深化、框架建构的递进式培养路径进行了探析.教学实践证明,该理论指导下的教学策略能够显著促进学生代数思维的系统性发展,帮助学生实现从具体操作到抽象概括的思维跃迁,提升数学学习的深层理解能力与问题解决能力. 展开更多
关键词 apoS理论 代数思维 初中数学 认知发展 概念建构 思维培养 知识迁移
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Design and Optimization of Terracotta Tube-Based Direct Evaporative Cooling Exchanger: An Analytical Approach to Heat and Mass Transfer
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作者 Windnigda Zoungrana Makinta Boukar +2 位作者 Ousmane Coulibaly Guy Christian Tubreoumya Antoine Bere 《Open Journal of Applied Sciences》 2025年第1期352-373,共22页
This study develops an analytical model to evaluate the cooling performance of a porous terracotta tubular direct evaporative heat and mass exchanger. By combining energy and mass balance equations with heat and mass ... This study develops an analytical model to evaluate the cooling performance of a porous terracotta tubular direct evaporative heat and mass exchanger. By combining energy and mass balance equations with heat and mass transfer coefficients and air psychrometric correlations, the model provides insights into the impact of design and operational parameters on the exchanger cooling performance. Validated against an established numerical model, it accurately simulates cooling behavior with a Root Mean Square Deviation of 0.43 - 1.18˚C under varying inlet air conditions. The results show that tube geometry, including equivalent diameter, flatness ratio, and length significantly influences cooling outcomes. Smaller diameters enhance wet-bulb effectiveness but reduce cooling capacity, while increased flatness and length improve both. For example, extending the flatness ratio of a 15 mm diameter, 0.6 m long tube from 1 (circular) to 4 raises the exchange surface area from 0.028 to 0.037 m2, increasing wet-bulb effectiveness from 60% to 71%. Recommended diameters range from 5 mm for tubes under 0.5 m to 1 cm for tubes 0.5 to 1 m in length. Optimal air velocities depend on tube length: 1 m/s for tubes under 0.8 m, 1.5 m/s for lengths of 0.8 to 1.2 m, and up to 2 m/s for longer tubes. This model offers a practical alternative to complex numerical and CFD methods, with potential applications in cooling tower optimization for thermal and nuclear power plants and geothermal heat exchangers. 展开更多
关键词 Analytical Modeling Porous Terracotta Tube Direct Evaporative Cooling Heat and Mass Exchanger Performance optimization
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APOS理论在数学概念教学中的应用探析
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作者 李正国 李培燕 《成才之路》 2026年第3期93-96,共4页
APOS理论在数学概念教学中的应用,能突破经验主导的碎片化教学,构建符合儿童认知发展规律的教学范式,提高数学概念教学质量。在数学概念教学中应用APOS理论,要进行操作感知、奠定概念基础,进行过程引导、深化概念理解,进行对象建构、形... APOS理论在数学概念教学中的应用,能突破经验主导的碎片化教学,构建符合儿童认知发展规律的教学范式,提高数学概念教学质量。在数学概念教学中应用APOS理论,要进行操作感知、奠定概念基础,进行过程引导、深化概念理解,进行对象建构、形成概念体系,进行图式应用、提升问题解决能力,进行反思总结、优化教学策略。 展开更多
关键词 apoS理论 小学数学 概念教学 教学质量 核心素养
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缺血性脑卒中患者APOE和SLCO1B1基因多态性对阿托伐他汀降脂疗效和安全性的影响
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作者 刘亮 赵丹琪 王淑梅 《山西医科大学学报》 2026年第2期207-214,共8页
目的分析缺血性脑卒中(IS)患者APOE和SLCO1B1基因多态性的分布特征及其对阿托伐他汀降脂疗效、安全性及IS预后的影响。方法筛选接受阿托伐他汀降脂治疗及APOE和SLCO1B1基因分型检测的IS患者,回顾性收集临床信息,分析APOE和SLCO1B1基因... 目的分析缺血性脑卒中(IS)患者APOE和SLCO1B1基因多态性的分布特征及其对阿托伐他汀降脂疗效、安全性及IS预后的影响。方法筛选接受阿托伐他汀降脂治疗及APOE和SLCO1B1基因分型检测的IS患者,回顾性收集临床信息,分析APOE和SLCO1B1基因多态性与IS严重程度、合并症发生风险、血脂达标率、肝功能和肌酸激酶(CK)升高率以及IS复发再入院风险的相关性。结果研究共纳入498例使用阿托伐他汀降脂治疗的IS患者,APOE 526和388位点、SLCO1B1388和521位点的最小等位基因频率分别为7.43%,7.93%,28.61%和10.34%,其分布均符合Hardy-Weinberg平衡(P>0.05)。各位点不同基因型、等位基因、二倍体型组的中重度IS、高血压、糖尿病和冠心病发生率未见显著差异(P>0.05)。APOE 526位点基因型和二倍体型对总胆固醇(TC)、甘油三酯(TG)和低密度脂蛋白胆固醇(LDL)达标率影响显著(P<0.05),388位点基因型对TC达标率影响显著(P=0.017)。SLCO1B1521位点基因型和二倍体型对ALT升高率影响显著(P<0.05),388位点基因型和二倍体型对CK升高率影响显著(P<0.05)。多变量Logistic回归分析显示,性别(OR=1.80,P=0.036)、年龄(OR=0.97,P=0.003)和合并高血压(OR=2.04,P=0.047)是1年内IS复发再入院风险的独立影响因素。结论APOE基因多态性显著影响阿托伐他汀降脂疗效,SLCO1B1基因多态性显著影响阿托伐他汀安全性,在IS患者的个体化治疗中具有重要的潜在应用价值。 展开更多
关键词 缺血性脑卒中 apoE SLCO1B1 基因多态性 阿托伐他汀
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人源性ApoE4干扰脂质代谢加重5×FAD小鼠的抑郁样行为
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《中国实验动物学报》 北大核心 2026年第1期42-42,共1页
阿尔茨海默病(AD)是中老年人群中最为常见的一种神经退行性疾病,高达50%的AD患者在病程中表现出抑郁症状或具有临床意义的抑郁倾向,但是目前致病机制尚不明确。载脂蛋白ApoE4等位基因是晚发性阿尔茨海默病(LOAD)最强的遗传危险因素,该... 阿尔茨海默病(AD)是中老年人群中最为常见的一种神经退行性疾病,高达50%的AD患者在病程中表现出抑郁症状或具有临床意义的抑郁倾向,但是目前致病机制尚不明确。载脂蛋白ApoE4等位基因是晚发性阿尔茨海默病(LOAD)最强的遗传危险因素,该基因加重非AD患者的抑郁症状。然而,ApoE4对AD患者抑郁样行为的影响及其致病机制尚不清楚。 展开更多
关键词 apoE4 阿尔茨海默病 5FAD小鼠 脂质代谢 抑郁样行为
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An Adaptive Cubic Regularisation Algorithm Based on Affine Scaling Methods for Constrained Optimization
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作者 PEI Yonggang WANG Jingyi 《应用数学》 北大核心 2026年第1期258-277,共20页
In this paper,an adaptive cubic regularisation algorithm based on affine scaling methods(ARCBASM)is proposed for solving nonlinear equality constrained programming with nonnegative constraints on variables.From the op... In this paper,an adaptive cubic regularisation algorithm based on affine scaling methods(ARCBASM)is proposed for solving nonlinear equality constrained programming with nonnegative constraints on variables.From the optimality conditions of the problem,we introduce appropriate affine matrix and construct an affine scaling ARC subproblem with linearized constraints.Composite step methods and reduced Hessian methods are applied to tackle the linearized constraints.As a result,a standard unconstrained ARC subproblem is deduced and its solution can supply sufficient decrease.The fraction to the boundary rule maintains the strict feasibility(for nonnegative constraints on variables)of every iteration point.Reflection techniques are employed to prevent the iterations from approaching zero too early.Under mild assumptions,global convergence of the algorithm is analysed.Preliminary numerical results are reported. 展开更多
关键词 Constrained optimization Adaptive cubic regularisation Affine scaling Global convergence
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Review of Metaheuristic Optimization Techniques for Enhancing E-Health Applications
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作者 Qun Song Chao Gao +3 位作者 Han Wu Zhiheng Rao Huafeng Qin Simon Fong 《Computers, Materials & Continua》 2026年第2期185-233,共49页
Metaheuristic algorithms,renowned for strong global search capabilities,are effective tools for solving complex optimization problems and show substantial potential in e-Health applications.This review provides a syst... Metaheuristic algorithms,renowned for strong global search capabilities,are effective tools for solving complex optimization problems and show substantial potential in e-Health applications.This review provides a systematic overview of recent advancements in metaheuristic algorithms and highlights their applications in e-Health.We selected representative algorithms published between 2019 and 2024,and quantified their influence using an entropy-weighted method based on journal impact factors and citation counts.CThe Harris Hawks Optimizer(HHO)demonstrated the highest early citation impact.The study also examined applications in disease prediction models,clinical decision support,and intelligent health monitoring.Notably,the Chaotic Salp Swarm Algorithm(CSSA)achieved 99.69% accuracy in detecting Novel Coronavirus Pneumonia.Future research should progress in three directions:improving theoretical reliability and performance predictability in medical contexts;designing more adaptive and deployable mechanisms for real-world systems;and integrating ethical,privacy,and technological considerations to enable precision medicine,digital twins,and intelligent medical devices. 展开更多
关键词 Metaheuristic optimization E-HEALTH disease diagnosis medical resource optimization complex optimization
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Research Progress on Process Optimization and Performance Control of Additive Manufacturing for Refractory Metals
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作者 Lu Durui Song Suocheng Lu Bingheng 《稀有金属材料与工程》 北大核心 2026年第2期345-364,共20页
Refractory metals,including tungsten(W),tantalum(Ta),molybdenum(Mo),and niobium(Nb),play a vital role in industries,such as nuclear energy and aerospace,owing to their exceptional melting temperatures,thermal durabili... Refractory metals,including tungsten(W),tantalum(Ta),molybdenum(Mo),and niobium(Nb),play a vital role in industries,such as nuclear energy and aerospace,owing to their exceptional melting temperatures,thermal durability,and corrosion resistance.These metals have body-centered cubic crystal structure,characterized by limited slip systems and impeded dislocation motion,resulting in significant low-temperature brittleness,which poses challenges for the conventional processing.Additive manufacturing technique provides an innovative approach,enabling the production of intricate parts without molds,which significantly improves the efficiency of material usage.This review provides a comprehensive overview of the advancements in additive manufacturing techniques for the production of refractory metals,such as W,Ta,Mo,and Nb,particularly the laser powder bed fusion.In this review,the influence mechanisms of key process parameters(laser power,scan strategy,and powder characteristics)on the evolution of material microstructure,the formation of metallurgical defects,and mechanical properties were discussed.Generally,optimizing powder characteristics,such as sphericity,implementing substrate preheating,and formulating alloying strategies can significantly improve the densification and crack resistance of manufactured parts.Meanwhile,strictly controlling the oxygen impurity content and optimizing the energy density input are also the key factors to achieve the simultaneous improvement in strength and ductility of refractory metals.Although additive manufacturing technique provides an innovative solution for processing refractory metals,critical issues,such as residual stress control,microstructure and performance anisotropy,and process stability,still need to be addressed.This review not only provides a theoretical basis for the additive manufacturing of high-performance refractory metals,but also proposes forward-looking directions for their industrial application. 展开更多
关键词 refractory metals additive manufacturing mechanical properties microstructure evolution optimization of printing process
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Integrated topology optimization method for crashworthiness of metal-FRP hybrid thin-walled tubes:A review and analysis
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作者 Lele Zhang Yanzhao Guo +2 位作者 Zhizhong Cheng Weiyuan Dou Sebastian Stichel 《Chinese Journal of Mechanical Engineering》 2026年第1期508-525,共18页
Based on the demands for crashworthiness and lightweight in the passive safety of transportation vehicles,metal-fiber reinforced polymer(FRP)hybrid thin-walled tubes(MFHTWTs)integrate the toughness,strength and lightw... Based on the demands for crashworthiness and lightweight in the passive safety of transportation vehicles,metal-fiber reinforced polymer(FRP)hybrid thin-walled tubes(MFHTWTs)integrate the toughness,strength and lightweight of two distinct material characteristics.MFHTWTs can achieve energy absorption through the coupling of material plastic deformation and fracture,demonstrating significant engineering value in passive safety.This review provides a comprehensive examination of the crashworthiness topology optimization of MFHTWTs,aiming to demonstrate that a deeply integrated approach combining topology and parameter opti-mization can realize an optimal design method for MFHTWTs,thereby maximizing the functional utilization of limited material.Firstly,the review highlights the crashworthiness topology optimization methods(CTOMs)based on thin-walled structures.With a particular focus on metal,the review discusses both the practical ap-plicability and limitations of CTOMs under crash conditions.Additionally,based on the methodology of the equivalent static load method(ESLM),the review emphasizes that topology optimization methods considering continuous fiber paths and multi-material interface connections are also applicable to the crashworthiness op-timization of MFHTWTs.Furthermore,to couple structural parameters and configuration characteristics,in-tegrated topology optimization methods,including parameter optimization,are proposed to provide a valuable reference for the global optimization of MFHTWTs.Thus,these methods can establish the mapping relationship between key parameters and the structural energy absorption capacity. 展开更多
关键词 Metal-FRP hybrid thin-walled tube Topology optimization Parameter optimization CRASHWORTHINESS Integrated optimization scheme
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PID Steering Control Method of Agricultural Robot Based on Fusion of Particle Swarm Optimization and Genetic Algorithm
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作者 ZHAO Longlian ZHANG Jiachuang +2 位作者 LI Mei DONG Zhicheng LI Junhui 《农业机械学报》 北大核心 2026年第1期358-367,共10页
Aiming to solve the steering instability and hysteresis of agricultural robots in the process of movement,a fusion PID control method of particle swarm optimization(PSO)and genetic algorithm(GA)was proposed.The fusion... Aiming to solve the steering instability and hysteresis of agricultural robots in the process of movement,a fusion PID control method of particle swarm optimization(PSO)and genetic algorithm(GA)was proposed.The fusion algorithm took advantage of the fast optimization ability of PSO to optimize the population screening link of GA.The Simulink simulation results showed that the convergence of the fitness function of the fusion algorithm was accelerated,the system response adjustment time was reduced,and the overshoot was almost zero.Then the algorithm was applied to the steering test of agricultural robot in various scenes.After modeling the steering system of agricultural robot,the steering test results in the unloaded suspended state showed that the PID control based on fusion algorithm reduced the rise time,response adjustment time and overshoot of the system,and improved the response speed and stability of the system,compared with the artificial trial and error PID control and the PID control based on GA.The actual road steering test results showed that the PID control response rise time based on the fusion algorithm was the shortest,about 4.43 s.When the target pulse number was set to 100,the actual mean value in the steady-state regulation stage was about 102.9,which was the closest to the target value among the three control methods,and the overshoot was reduced at the same time.The steering test results under various scene states showed that the PID control based on the proposed fusion algorithm had good anti-interference ability,it can adapt to the changes of environment and load and improve the performance of the control system.It was effective in the steering control of agricultural robot.This method can provide a reference for the precise steering control of other robots. 展开更多
关键词 agricultural robot steering PID control particle swarm optimization algorithm genetic algorithm
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基于APOS理论的高中数学抽象素养培养策略研究——以“函数”的概念教学为例
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作者 夏华 《数学教学通讯》 2026年第3期54-56,共3页
APOS理论强调概念学习需经历活动阶段、过程阶段、对象阶段与概型阶段.研究表明,APOS理论指导下的数学概念教学对发展学生的数学抽象素养具有重要价值与意义.研究者从APOS理论与抽象素养的关系着手,以“函数”概念为例,分别从四个阶段... APOS理论强调概念学习需经历活动阶段、过程阶段、对象阶段与概型阶段.研究表明,APOS理论指导下的数学概念教学对发展学生的数学抽象素养具有重要价值与意义.研究者从APOS理论与抽象素养的关系着手,以“函数”概念为例,分别从四个阶段设计教学,揭示基于APOS理论的高中数学抽象素养培养策略. 展开更多
关键词 apoS理论 抽象素养 函数
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APOS视域下数学教学实践与研究——以“复数”的概念教学为例
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作者 叶文才 《数学教学通讯》 2026年第6期61-63,共3页
随着新课改的推进,广大数学教育工作者越来越意识到教学方法对学生学力发展的重要影响. APOS理论由美国数学家杜宾斯基及团队成员共同提出,将该理念应用于数学概念教学中,可取得良好的教学效果.“复数”概念相对抽象,教师借助APOS理念... 随着新课改的推进,广大数学教育工作者越来越意识到教学方法对学生学力发展的重要影响. APOS理论由美国数学家杜宾斯基及团队成员共同提出,将该理念应用于数学概念教学中,可取得良好的教学效果.“复数”概念相对抽象,教师借助APOS理念执教本节课,带领学生经历操作、过程、对象与图式四个阶段,可帮助学生从真正意义上夯实概念基础,实现深度学习,发展数学学科核心素养. 展开更多
关键词 apoS理论 概念教学 复数
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基于APOS理论的“函数概念”的教学设计
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作者 于陆洋 朱晓丽 《教育进展》 2026年第2期1193-1198,共6页
函数是高等数学的基础与逻辑主线,贯穿高等数学始终。既是高等数学的研究对象,也是实现各领域理论与应用相转化的关键工具。本文深入分析了理解函数的教学难点,以函数的概念为例,运用APOS理论开展教学设计研究,为突破这一教学重难点提... 函数是高等数学的基础与逻辑主线,贯穿高等数学始终。既是高等数学的研究对象,也是实现各领域理论与应用相转化的关键工具。本文深入分析了理解函数的教学难点,以函数的概念为例,运用APOS理论开展教学设计研究,为突破这一教学重难点提供实践路径与参考方案。 展开更多
关键词 apoS理论 函数概念 教学设计
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Multi-objective topology optimization for cutout design in deployable composite thin-walled structures
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作者 Hao JIN Ning AN +3 位作者 Qilong JIA Chun SHAO Xiaofei MA Jinxiong ZHOU 《Chinese Journal of Aeronautics》 2026年第1期674-694,共21页
Deployable Composite Thin-Walled Structures(DCTWS)are widely used in space applications due to their ability to compactly fold and self-deploy in orbit,enabled by cutouts.Cutout design is crucial for balancing structu... Deployable Composite Thin-Walled Structures(DCTWS)are widely used in space applications due to their ability to compactly fold and self-deploy in orbit,enabled by cutouts.Cutout design is crucial for balancing structural rigidity and flexibility,ensuring material integrity during large deformations,and providing adequate load-bearing capacity and stability once deployed.Most research has focused on optimizing cutout size and shape,while topology optimization offers a broader design space.However,the anisotropic properties of woven composite laminates,complex failure criteria,and multi-performance optimization needs have limited the exploration of topology optimization in this field.This work derives the sensitivities of bending stiffness,critical buckling load,and the failure index of woven composite materials with respect to element density,and formulates both single-objective and multi-objective topology optimization models using a linear weighted aggregation approach.The developed method was integrated with the commercial finite element software ABAQUS via a Python script,allowing efficient application to cutout design in various DCTWS configurations to maximize bending stiffness and critical buckling load under material failure constraints.Optimization of a classical tubular hinge resulted in improvements of 107.7%in bending stiffness and 420.5%in critical buckling load compared to level-set topology optimization results reported in the literature,validating the effectiveness of the approach.To facilitate future research and encourage the broader adoption of topology optimization techniques in DCTWS design,the source code for this work is made publicly available via a Git Hub link:https://github.com/jinhao-ok1/Topo-for-DCTWS.git. 展开更多
关键词 Composite laminates Deployable structures Multi-objective optimization Thin-walled structures Topology optimization
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基于APOS理论的导数解题错误分析与教学对策
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作者 孙园 《数学教学通讯》 2026年第6期3-6,22,共5页
本研究基于APOS理论,诊断高中生运用数形结合思想解答导数问题时的认知障碍,发现错误源于操作表征失真、过程向对象转化失败及图式监控缺位,据此提出促进对象化建构与强化元认知调控的教学策略,为提升导数教学的有效性提供新的研究视角.
关键词 数形结合 错误分析 apoS理论 认知归因 导数教学
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GeoGebra环境下基于APOS理论的抛物线及其标准方程教学探究
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作者 张若虹 黄广源 《数学之友》 2026年第1期74-77,共4页
信息技术的高速发展正在潜移默化地改变教与学的方式,信息技术与数学课堂教学的融合已成为教育教学改革的新趋势.目前,许多一线教师在采用GeoGebra软件进行授课时,存在融合体系不够完善、理论不够扎实、对于软件与课堂的结合浅尝辄止等... 信息技术的高速发展正在潜移默化地改变教与学的方式,信息技术与数学课堂教学的融合已成为教育教学改革的新趋势.目前,许多一线教师在采用GeoGebra软件进行授课时,存在融合体系不够完善、理论不够扎实、对于软件与课堂的结合浅尝辄止等问题.基于此,本文提出在GeoGebra环境下基于APOS理论探究抛物线及其标准方程的教学路径,旨在为教师教学提供参考. 展开更多
关键词 GeoGebra软件 apoS理论 信息技术融合 教学实践
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基于APOS理论的初中几何单元整体教学模式构建研究——以“三角形全等的判定”为例
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作者 叶文峰 《数学学习与研究》 2026年第5期122-125,共4页
随着“双减”政策实施,初中数学教学面临减负与提质的双重挑战,几何因抽象性和逻辑性成为教与学的难点.文章基于APOS理论的内涵及其与几何教学的适切性,构建了基于APOS理论的初中几何单元整体教学模式.该模式以学生认知建构(操作、过程... 随着“双减”政策实施,初中数学教学面临减负与提质的双重挑战,几何因抽象性和逻辑性成为教与学的难点.文章基于APOS理论的内涵及其与几何教学的适切性,构建了基于APOS理论的初中几何单元整体教学模式.该模式以学生认知建构(操作、过程、对象、图式)为核心,整合单元内容、设计阶梯式活动,旨在降低学习难度、深化概念理解、发展数学核心素养,实现教学从“机械训练”到“意义建构”的转变. 展开更多
关键词 apoS理论 初中几何 单元整体教学 认知建构
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An Overall Optimization Model Using Metaheuristic Algorithms for the CNN-Based IoT Attack Detection Problem
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作者 Le Thi Hong Van Le Duc Thuan +1 位作者 Pham Van Huong Nguyen Hieu Minh 《Computers, Materials & Continua》 2026年第4期1934-1964,共31页
Optimizing convolutional neural networks(CNNs)for IoT attack detection remains a critical yet challenging task due to the need to balance multiple performance metrics beyond mere accuracy.This study proposes a unified... Optimizing convolutional neural networks(CNNs)for IoT attack detection remains a critical yet challenging task due to the need to balance multiple performance metrics beyond mere accuracy.This study proposes a unified and flexible optimization framework that leverages metaheuristic algorithms to automatically optimize CNN configurations for IoT attack detection.Unlike conventional single-objective approaches,the proposed method formulates a global multi-objective fitness function that integrates accuracy,precision,recall,and model size(speed/model complexity penalty)with adjustable weights.This design enables both single-objective and weightedsum multi-objective optimization,allowing adaptive selection of optimal CNN configurations for diverse deployment requirements.Two representativemetaheuristic algorithms,GeneticAlgorithm(GA)and Particle Swarm Optimization(PSO),are employed to optimize CNNhyperparameters and structure.At each generation/iteration,the best configuration is selected as themost balanced solution across optimization objectives,i.e.,the one achieving themaximum value of the global objective function.Experimental validation on two benchmark datasets,Edge-IIoT and CIC-IoT2023,demonstrates that the proposed GA-and PSO-based models significantly enhance detection accuracy(94.8%–98.3%)and generalization compared with manually tuned CNN configurations,while maintaining compact architectures.The results confirm that the multi-objective framework effectively balances predictive performance and computational efficiency.This work establishes a generalizable and adaptive optimization strategy for deep learning-based IoT attack detection and provides a foundation for future hybrid metaheuristic extensions in broader IoT security applications. 展开更多
关键词 Genetic algorithm(GA) particle swarm optimization(PSO) multi-objective optimization convolutional neural network—CNN IoT attack detection metaheuristic optimization CNN configuration
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