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数学解题教学应向“多想少算”转型——由2024年高考数学新课标Ⅰ卷引发的思考
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作者 章建斌 吕增锋 《教学月刊(中学版)(教学参考)》 2024年第9期9-13,共5页
“多想少算”理念倡导深度思考、减少机械计算,对提高解题效率、培养深度思维能力、激发创新精神具有重要意义.针对当前数学解题教学中“高密度、大容量、快节奏”的现象,教师需要顺应学生思维的发展,让教学“慢下来”,给学生足够的思... “多想少算”理念倡导深度思考、减少机械计算,对提高解题效率、培养深度思维能力、激发创新精神具有重要意义.针对当前数学解题教学中“高密度、大容量、快节奏”的现象,教师需要顺应学生思维的发展,让教学“慢下来”,给学生足够的思考时间.教师还要为学生创造试错的机会,构建支持性学习环境,让学生经历算法优化的过程,培养学生的理性思维、批判性思维和创新能力. 展开更多
关键词 数学解题教学 高考数学新课标Ⅰ卷
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以“多想”促“少算” “快解”数学题
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作者 张昌金 《数学通讯》 2024年第21期21-24,50,共5页
2024年高考数学试题充分体现了“多想少算”的设计理念,在平时的数学学习和解题中,要有意识培养学生这方面的能力,特别应该在知识和原理、图形关系以及思想方法等方面着手,本文结合实例进行说明。
关键词 知识和原理 图形关系 方法 问题本质
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方法朴素 思想深邃——2024年新课标Ⅰ卷第14题的解法探究与推广
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作者 周鸿高 何威 《中学数学研究(华南师范大学)(上半月)》 2024年第11期16-19,共4页
新高考数学试题引导考生“多想少算”,考查思维能力,发挥高考数学的选拔功能.新课标I卷第14题就是这样的一道好题,方法朴素而蕴含深刻的思想.本文对其进行解法探究并进行相关推广,据此给出新高考背景下的数学备考三点启示.
关键词 列举 推广 启示
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选择最佳新思路 多想少算不是梦——以2020年南通一模第12题为例
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作者 周炎 《中学数学研究(华南师范大学)(上半月)》 2020年第5期26-28,共3页
高考侧重考查学生对知识的综合、灵活运用,检测学生将知识迁移到不同情境中去的能力.这就要求考生在解题时"多一点想,少一点算".结合2020年南通一模考试第12题,谈谈如何做有价值的多向、多面、多次之想,少做盲目、繁杂、低效... 高考侧重考查学生对知识的综合、灵活运用,检测学生将知识迁移到不同情境中去的能力.这就要求考生在解题时"多一点想,少一点算".结合2020年南通一模考试第12题,谈谈如何做有价值的多向、多面、多次之想,少做盲目、繁杂、低效之算,以寻得解决问题的最佳思路,实现多想少算的良好愿望. 展开更多
关键词 解法剖析
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多一点想 少一点算——以2018年高考数学试题为例 被引量:1
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作者 姜艳红 余小芬 朱勇 《数学学习与研究》 2019年第16期104-106,共3页
以2018年高考数学试题为例,分析了'多想少算'的十种策略:极限策略、观察策略、数形结合策略、分离变量策略、猜想策略、设而不求策略、特殊化策略、正难则反策略、换元策略、巧用结论策略.
关键词 高考 数学试题
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多想少算--促进运算核心素养提升的有效途径 被引量:1
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作者 蒲荣飞 《中学数学研究(华南师范大学)(上半月)》 2022年第6期31-34,共4页
数学运算是高中数学学科核心素养的六大维度之一,其重要性不言而喻,那么通过什么途径可以有效促进运算核心素养的提升呢?本文拟采用“多想少算”的策略,从理解运算对象、掌握运算法则、探究运算思路、选择运算方法、设计运算程序、求得... 数学运算是高中数学学科核心素养的六大维度之一,其重要性不言而喻,那么通过什么途径可以有效促进运算核心素养的提升呢?本文拟采用“多想少算”的策略,从理解运算对象、掌握运算法则、探究运算思路、选择运算方法、设计运算程序、求得运算结果等视角加以探讨,并对妨碍运算核心素养提升的原因加以分析. 展开更多
关键词 核心素养 数学运
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小学低年级计算教学实施策略 被引量:1
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作者 陈碧娜 《福建教育学院学报》 2020年第9期90-92,共3页
计算能力是一种基本的数学能力,培养计算能力是小学数学教学的一项重要任务。如何上好低年级计算课,在计算教学中应如何强调口算和估算,使学生理解算理、掌握算法、提高计算技能,最终达到灵活计算。文章主要从“创设情境,让学生想算;手... 计算能力是一种基本的数学能力,培养计算能力是小学数学教学的一项重要任务。如何上好低年级计算课,在计算教学中应如何强调口算和估算,使学生理解算理、掌握算法、提高计算技能,最终达到灵活计算。文章主要从“创设情境,让学生想算;手脑并用,让学生会算;比较引领,让学生优算;巧妙设计,让学生乐算”这四个方面进行论述。 展开更多
关键词 想算
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创设愉悦情景 促进主动学习——《两位数加一位数、整十数》教学案例
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作者 房玉梅 《黑河教育》 2019年第8期61-62,共2页
心理学研究表明,人在轻松愉悦的情境下思维比较活跃,感知比较敏锐,记忆比较牢固,想象比较丰富。愉悦教学就是充分利用学生活泼好动的特点。在钻研教材、了解学生的基础之上,课堂中生动有趣的环节激励每个孩子参与其中,良好的师生关系、... 心理学研究表明,人在轻松愉悦的情境下思维比较活跃,感知比较敏锐,记忆比较牢固,想象比较丰富。愉悦教学就是充分利用学生活泼好动的特点。在钻研教材、了解学生的基础之上,课堂中生动有趣的环节激励每个孩子参与其中,良好的师生关系、轻松的课堂氛围,鼓励每个孩子表达自己的想法,我想扎实的课必定是生动的,而生动的课堂也离不开扎实的教学。 展开更多
关键词 摆小棒 想算
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BIDIRECTIONAL ASSOCIATIVE MEMORY ENSEMBLE
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作者 王敏 储荣 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2007年第4期343-348,共6页
The multiple classifier system (MCS), composed of multiple diverse classifiers or feed-forward neural networks, can significantly improve the classification or generalization ability of a single classifier. Enlighte... The multiple classifier system (MCS), composed of multiple diverse classifiers or feed-forward neural networks, can significantly improve the classification or generalization ability of a single classifier. Enlightened by the fundamental idea of MCS, the ensemble is introduced into the quick learning for bidirectional associative memory (QLBAM) to construct a BAM ensemble, for improving the storage capacity and the error-correction capability without destroying the simple structure of the component BAM. Simulations show that, with an appropriate "overproduce and choose" strategy or "thinning" algorithm, the proposed BAM ensemble significantly outperforms the single QLBAM in both storage capacity and noise-tolerance capability. 展开更多
关键词 bidirectional associative memory neural network ensemble thinning algorithm
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A kind of signature scheme based on class groups of quadratic fields 被引量:1
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作者 董晓蕾 曹珍富 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2004年第6期583-587,共5页
Quadratic-field cryptosystem is a cryptosystem built from discrete logarithm problem in ideal class groups of quadratic fields(CL-DLP). The problem on digital signature scheme based on ideal class groups of quadratic ... Quadratic-field cryptosystem is a cryptosystem built from discrete logarithm problem in ideal class groups of quadratic fields(CL-DLP). The problem on digital signature scheme based on ideal class groups of quadratic fields remained open, because of the difficulty of computing class numbers of quadratic fields. In this paper, according to our researches on quadratic fields, we construct the first digital signature scheme in ideal class groups of quadratic fields, using q as modulus, which denotes the prime divisors of ideal class numbers of quadratic fields. Security of the new signature scheme is based fully on CL-DLP. This paper also investigates realization of the scheme, and proposes the concrete technique. In addition, the technique introduced in the paper can be utilized to realize signature schemes of other kinds. 展开更多
关键词 quadratic-field cryptosystem digital signature ideal class groups discrete logarithm problem
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3-Dimensional liver volume assessment in patients with hepatitis B virus-related liver cirrhosis during long-term oral nucleos(t)ide analogues therapy 被引量:6
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作者 Chang Hun Lee In Hee Kim +8 位作者 Jin Chang Moon Seung Young Seo Seong Hun Kim Sang Wook Kim Seung Ok Lee Soo Teik Lee Dae Ghon Kim Jae Do Yang Hee Chul Yu 《World Journal of Gastroenterology》 SCIE CAS 2017年第2期297-305,共9页
AIMTo assess the effect of long-term oral nucleos(t)ide analogues (NUCs) therapy on liver volume change in patients with suppress hepatitis B virus (HBV)-related liver cirrhosis.METHODSWe reviewed the data of na&#... AIMTo assess the effect of long-term oral nucleos(t)ide analogues (NUCs) therapy on liver volume change in patients with suppress hepatitis B virus (HBV)-related liver cirrhosis.METHODSWe reviewed the data of na&#x000ef;ve patients with HBV-related liver cirrhosis, who had taken oral NUCs therapy, between 2003 and 2007 at Chonbuk University Hospital. We analyzed two consecutive sets of abdominal computerized tomography scans-one at the time of treatment initiation and another at the second-year follow-up. Liver volume was calculated by 3-dimensional liver extraction volumetry program.RESULTSA total of 55 patients (34 males) were included. There was 114.3 mL &#x000b1; 167.8 mL (12.9% &#x000b1; 17.9%) of increase in liver volume during the two years of NUCs therapy (993.8 mL &#x000b1; 242.8 mL at baseline vs 1108.1 mL &#x000b1; 263.3 mL at two-year follow-up, P &#x0003c; 0.001). The ratio of the measured baseline liver volume to the estimated standard liver volume was improved from 70.8% to 78.0%. An increase in liver volume was shown not only in patients with compensated cirrhosis (P = 0.046) but also in those with decompensated cirrhosis (P &#x0003c; 0.001). Significant factors for volume increases were Child-Turcotte-Pugh grade and model for end-stage liver disease score improvement without virological breakthrough. In multiple linear regression analysis, delta albumin and delta alanine aminotransferase levels showed a significant association with the increase in liver volume (P = 0.002 and 0.005, respectively).CONCLUSIONLong-term oral NUCs therapy in patients with HBV-related liver cirrhosis lead to significant increase in liver volume assessed with 3-dimensional liver extraction volumetry program. 展开更多
关键词 Antiviral agents Liver cirrhosis Liver regeneration Image processing COMPUTER-ASSISTED
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The Spectrum of Positive Operators on Hilbert Lattices
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作者 DENG Chun-yuan DU Hong-ke 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第1期52-56,共5页
Some spectral characterizations of positive operators on Hilbert lattices are presented. The application of these results can yield some equivalent relations of an irreducible positive operator. Some related results f... Some spectral characterizations of positive operators on Hilbert lattices are presented. The application of these results can yield some equivalent relations of an irreducible positive operator. Some related results for positive operators on Hilbert lattice are also obtained. 展开更多
关键词 Hilbert lattice positive operator IDEAL IRREDUCIBLE OPERATOR
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Fatigue Verification of Class 1 Nuclear Power Piping According to ASME BPV Code 被引量:1
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作者 Lingfu Zeng Lennart G. Jansson Lars Dahlstrom 《Journal of Energy and Power Engineering》 2012年第4期519-529,共11页
In this paper, fatigue verification of Class 1 nuclear power piping according to ASME Boiler & Pressure Vessel Code, Section III, NB-3600, is addressed. Basic design requirements and relevant verification procedures ... In this paper, fatigue verification of Class 1 nuclear power piping according to ASME Boiler & Pressure Vessel Code, Section III, NB-3600, is addressed. Basic design requirements and relevant verification procedures using Design-By-Analysis are first reviewed in detail. Thereafter, a so-called simplified elastic-plastic discontinuity analysis for further verification when the basic requirements found unsatisfactory is examined and discussed. In addition, necessary computational procedures for evaluating alternating stress intensities and cumulative damage factors are studied in detail. The authors' emphasis is placed on alternative verification procedures, which do not violate the general design principles upon which the code is built, for further verification if unsatisfactory results are found in the simplified elastic-plastic analysis. An alternative which employs a non-linear finite element computation and a refined numerical approach for re-evaluating the cumulative damage factors is suggested. Using this alternative, unavoidable plastic strains can be correctly taken into account in a computationally affordable way, and the reliability of the verification will not be affected by uncertainties introduced in the simplified elastic-plastic analysis through the penalty factor Ke and other simplifications. 展开更多
关键词 Nuclear power PIPING low-cycle fatigue ASME BPV code alternative rule finite element cyclic plasticity.
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Ligand selection for complex-leaching valuable metals in hydrometallurgy 被引量:3
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作者 杨天足 窦爱春 +2 位作者 雷存茂 任晋 刘珍珍 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2010年第6期1148-1153,共6页
A two-stage ligand selection method composed of a primary selection and a critical selection,for complex-leaching valuable metals was presented.At the primary selection stage,three conditions were discussed under a su... A two-stage ligand selection method composed of a primary selection and a critical selection,for complex-leaching valuable metals was presented.At the primary selection stage,three conditions were discussed under a supposed ideal state by mathematical derivation.Generally,ligands selected under condition Ⅰwere easier for complex-leaching valuable metals than that under conditionⅡ,however,under conditionⅢ,ligands selected were hard to complex-leaching the valuable metals.Ligands that were out of these three conditions could be disposed directly.In critical selection,ligands selected in primary selection can be finalized.Case applications were provided for verifying the method.The application indicated that iminodiacetate(Ida2-)can be used as a complex agent for complex-leaching smithsonite(ZnCO3);the leaching condition should be controlled with pH 8-11;the relative error of the minimum consumption of Ida2-between the predicted and the calculated results is 5.3%.The results indicate that the theoretical derivations in the ideal state are reliable,and the method for ligand selection is practical and operable. 展开更多
关键词 ligand selection complex-leaching SMITHSONITE HYDROMETALLURGY
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Research on the Application Security Isolation Model
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作者 Gong Lei Zhao Yong Liao Jianhua 《China Communications》 SCIE CSCD 2010年第6期153-156,共4页
Typical isolation models are studied and a New Application Security Isolation model called NASI is proposed, which is based on trusted computing technology and least privilege principle. This paper introduces the desi... Typical isolation models are studied and a New Application Security Isolation model called NASI is proposed, which is based on trusted computing technology and least privilege principle. This paper introduces the design ideas of NASI, gives out formal description and safety analysis for the model, and finally describes the implementation of prototype system based on NASI. 展开更多
关键词 application isolation security model application security protection
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Pinch Point Calculations and Its Implications on Robust Distillation Design 被引量:1
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作者 Daniel A. Beneke Seon B. Kim Andreas A. Linninger 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2011年第6期911-925,共15页
Rising energy costs and growing environmental awareness motivate a critical revision of the design of distillation units. Systematic design techniques, such as the rectification body, column profile map, and temperatu... Rising energy costs and growing environmental awareness motivate a critical revision of the design of distillation units. Systematic design techniques, such as the rectification body, column profile map, and temperature collocation methods, require exact knowledge of all pinch points in a particular system, because these stationary points delineate the possible composition trajectories realizable in separation columns. This paper demonstrates novel methods for rigorously determining all pinch points for the constant relative volatility, ideal and non-ideal systems. Constant relative volatility and ideal solution systems are transformed into one-dimensional polynomial and nonlinear functions, regardless of the number of the components. A deflation method is proposed to locate all zeros in ideal and non-ideal zeotropic problems. For more challenging non-ideal problems, a novel hybrid sequential niche algorithm is used to solve hard azeotropic problems successfully. Finally, the design implications of these pinch point locations are investigated to show how new separation configurations can be devised. Methodically the paper points out the use of rigorous pinch point computations in conjunction with continuous composition profiles for robust distillation design. 展开更多
关键词 pinch point column profile map phase equilibrium model temperature collocation
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The Formation and Development of Modern Firm Financial Governance Theory
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作者 Zhongxin Wu Yan Zhu 《Journal of Modern Accounting and Auditing》 2005年第2期54-58,81,共6页
This paper points out the drawbacks of traditional financial governance. After introducing Chinese and western economists' researches on firm financial governance theory, we put forward modern finn financial governan... This paper points out the drawbacks of traditional financial governance. After introducing Chinese and western economists' researches on firm financial governance theory, we put forward modern finn financial governance system, which is based on the core of finance-rights allocation. In our opinion, the theory of finance-rights is the important cornerstone of the theory of financial finance-rights theory. Financial governance structure system is the basic framework of the research of financial governance. 展开更多
关键词 financial governance property rights finance-rights
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例谈“读、思、写、算”的妙用--以高中导数应用题型为例
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作者 董悦 孟红兵 白赟 《中学数学教学参考》 2021年第3期12-14,共3页
数学核心素养,可以用“读、想、写、算”来进行具象培养。本文在核心素养的指导下,举例说明“读、想、写、算”在导数的四个综合应用题型中的妙用。
关键词 核心素养 导数 函数 不等式
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Computing polynomial univariate representations of zero-dimensional ideals by Grbner basis 被引量:3
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作者 MA XiaoDong SUN Yao WANG DingKang 《Science China Mathematics》 SCIE 2012年第6期1293-1302,共10页
Rational Univariate Representation (RUR) of zero-dimensional ideals is used to describe the zeros of zero-dimensional ideals and RUR has been studied extensively. In 1999, Roullier proposed an efficient algorithm to... Rational Univariate Representation (RUR) of zero-dimensional ideals is used to describe the zeros of zero-dimensional ideals and RUR has been studied extensively. In 1999, Roullier proposed an efficient algorithm to compute RUR of zero-dimensional ideals. In this paper, we will present a new algorithm to compute Polynomial Univariate Representation (PUR) of zero-dimensional ideals. The new algorithm is based on some interesting properties of Grobner basis. The new algorithm also provides a method for testing separating elements. 展开更多
关键词 RUR PUR zero-dimensional ideals Grobner basis
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GVW ALGORITHM OVER PRINCIPAL IDEAL DOMAINS
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作者 LI Dongmei LIU Jinwang +1 位作者 LIU Weijun ZHENG Licui 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2013年第4期619-633,共15页
GVW algorithm was given by Gao, Wang, and Volny in computing a Grobuer bases for ideal in a polynomial ring, which is much faster and more simple than F5. In this paper, the authors generalize GVW algorithm and presen... GVW algorithm was given by Gao, Wang, and Volny in computing a Grobuer bases for ideal in a polynomial ring, which is much faster and more simple than F5. In this paper, the authors generalize GVW algorithm and present an algorithm to compute a Grobner bases for ideal when the coefficient ring is a principal ideal domain. K 展开更多
关键词 Buchberger's algorithm F5 algorithm Grobner basis GVW algorithm principal ideal domain.
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