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浅析高中《复数》知识的延伸空间
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作者 罗国俭 《好日子》 2020年第18期231-231,共1页
在课改的背景下,要求学生不仅仅是要把知识学会更要学精。尤其是在数学学习的过程中,很多知识都要学的很深入,不然学生在遇到题型时会不知道如何下手。所以这也就要求了教师在讲一些小的知识点时需要通过一些特别的教学方法来让学生把... 在课改的背景下,要求学生不仅仅是要把知识学会更要学精。尤其是在数学学习的过程中,很多知识都要学的很深入,不然学生在遇到题型时会不知道如何下手。所以这也就要求了教师在讲一些小的知识点时需要通过一些特别的教学方法来让学生把这个小的知识点学的细而精。复数是高中生在学习数学中继自然数、有理数和实数之后又一重要知识点,这也是高考中的一大重难点。这篇文章就复数的学习方法以及延伸展开论述。 展开更多
关键词 高中数学 《复数》知识 延伸空间
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复数中的热点问题
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作者 钱鹏 《数学学习与研究》 2010年第11期68-68,共1页
高中数学新教学大纲对新编教科书《复数》一章的内容有了较大精减,因此应按大纲要求进行教学,不能任意拔高扩展,为了帮助同学们学好这部分内容,本文对近几年高考复数题进行研究,总结出几个热点问题.
关键词 《复数》 教学大纲 高中数学 教科书 复数 内容 同学 高考
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复数中的交汇问题
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作者 谭玉宝 《中学数学研究(华南师范大学)(上半月)》 2015年第10期46-47,共2页
《数系的扩充——复数》是高中数学的最后一章,在最近几年高考中,难度呈下降趋势,主要考查一个选择题或填空题,考查的重点是复数的有关概念及复数代数形式运算,所以,是考生一个重要的得分点.虽然《复数》的内容少,难度低,但和... 《数系的扩充——复数》是高中数学的最后一章,在最近几年高考中,难度呈下降趋势,主要考查一个选择题或填空题,考查的重点是复数的有关概念及复数代数形式运算,所以,是考生一个重要的得分点.虽然《复数》的内容少,难度低,但和其它章节的知识联系还是很紧密的,里面渗透的数学思想方法也不少.复数与其它知识的交汇和联系主要体现在以下两个方面. 展开更多
关键词 《复数》 交汇 数学思想方法 知识联系 高中数学 下降趋势 形式运算 填空题
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复数向量表示法在解题中的应用
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作者 程国正 《中学数学(江苏)》 1994年第12期30-31,共2页
关键词 向量表示 《复数》 向量问题 解析几何问题 复数问题 坐标平面 旋转45° 复平面 平行四边形 单位圆
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FINITE RANGE SET WITH TRUNCATED MULTIPLICITY FOR MEROMORPHIC FUNCTIONS ON SOME COMPLEX DISC
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作者 WANG Yu-ting CAO Hong-zhe 《数学杂志》 2024年第5期383-396,共14页
In this paper,we consider the truncated multiplicity finite range set problem of meromorphic functions on some complex disc.By using the value distribution theory of meromorphic functions,we establish a second main th... In this paper,we consider the truncated multiplicity finite range set problem of meromorphic functions on some complex disc.By using the value distribution theory of meromorphic functions,we establish a second main theorem for meromorphic functions with finite growth index which share meromorphic functions(may not be small functions).As its application,we also extend the result of a finite range set with truncated multiplicity. 展开更多
关键词 meromorphic functions finite growth index complex disc finite range set trun-cated multiplicity
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就《复数、实数、纯虚数》一文与原作者商榷
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作者 李其胜 李文强 《萍乡高等专科学校学报》 1995年第4期18-19,共2页
本文指出了《复数、实数、纯虚数》一文几处出现的理论性错误与不妥、并予以更正和修改。
关键词 复数 实数 纯虚数 中学 数学教学 《复数、实数、纯虚数》
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Random noise attenuation by f–x spatial projection-based complex empirical mode decomposition predictive filtering 被引量:7
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作者 马彦彦 李国发 +2 位作者 王钧 周辉 张保江 《Applied Geophysics》 SCIE CSCD 2015年第1期47-54,121,共9页
The frequency–space(f–x) empirical mode decomposition(EMD) denoising method has two limitations when applied to nonstationary seismic data. First, subtracting the first intrinsic mode function(IMF) results in ... The frequency–space(f–x) empirical mode decomposition(EMD) denoising method has two limitations when applied to nonstationary seismic data. First, subtracting the first intrinsic mode function(IMF) results in signal damage and limited denoising. Second, decomposing the real and imaginary parts of complex data may lead to inconsistent decomposition numbers. Thus, we propose a new method named f–x spatial projection-based complex empirical mode decomposition(CEMD) prediction filtering. The proposed approach directly decomposes complex seismic data into a series of complex IMFs(CIMFs) using the spatial projection-based CEMD algorithm and then applies f–x predictive filtering to the stationary CIMFs to improve the signal-to-noise ratio. Synthetic and real data examples were used to demonstrate the performance of the new method in random noise attenuation and seismic signal preservation. 展开更多
关键词 Complex empirical mode decomposition complex intrinsic mode functions f–x predictive filtering random noise attenuation
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Instantaneous polarization filtering focused on suppression of surface waves 被引量:7
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作者 芦俊 王赟 杨春颖 《Applied Geophysics》 SCIE CSCD 2010年第1期88-97,100,共11页
The different characteristics of polarization of body and Rayleigh waves make it possible to separate these two types of waves by their characteristics and suppress the latter.The moving time-window analysis often is ... The different characteristics of polarization of body and Rayleigh waves make it possible to separate these two types of waves by their characteristics and suppress the latter.The moving time-window analysis often is used in polarization filtering but it is difficult to determine a suitable time-window length,resulting in some problems,such as complex eigenvalues and non-convergence.For overcoming these disadvantages,in this paper,we introduce the concept of complex-trace analysis and conduct de-noise processing to suppress undesirable surface waves by instantaneous polarization analysis in the case of horizontal and vertical component seismic recordings from the Hauinan coal mine.The performance of the method is illustrated by examples with synthetic and field data and its effectiveness to remove surface waves from multi-component seismic data is demonstrated. 展开更多
关键词 Rayleigh waves POLARIZATION complex-trace instantaneous polarization analysis MULTI-COMPONENT
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2.488 Gbit/s clock and data recovery circuit in 0.35 μm CMOS 被引量:1
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作者 王欢 王志功 +2 位作者 冯军 熊明珍 章丽 《Journal of Southeast University(English Edition)》 EI CAS 2006年第2期143-147,共5页
The design of a 2. 488 Gbit/s clock and data recovery (CDR) If for synchronous digital hierarchy (SDH) STM-16 receiver is described. Based on the injected phase-locked loop (IPLL) and D-flip flop architectures, ... The design of a 2. 488 Gbit/s clock and data recovery (CDR) If for synchronous digital hierarchy (SDH) STM-16 receiver is described. Based on the injected phase-locked loop (IPLL) and D-flip flop architectures, the CDR IC was implemented in a standard 0. 35 μan complementary metal-oxide-semiconductor (CMOS) technology. With 2^31 -1 pseudorandom bit sequences (PRBS) input, the sensitivity of data recovery circuit is less than 20 mV with 10^-12 bit error rate (BER). The recovered clock shows a root mean square (rms) jitter of 2. 8 ps and a phase noise of - 110 dBc/Hz at 100 kHz offset. The capture range of the circuit is larger than 40 MHz. With a 5 V supply, the circuit consumes 680 mW and the chip area is 1.49 mm × 1 mm. 展开更多
关键词 clock recovery data recovery phase-locked loop (PLL) PREPROCESSOR
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2.5Gb/s 0.18μm CMOS Clock and Data Recovery Circuit 被引量:2
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作者 刘永旺 王志功 李伟 《Journal of Semiconductors》 EI CAS CSCD 北大核心 2007年第4期537-541,共5页
A 2.5Gb/s clock and data recovery (CDR) circuit is designed and realized in TSMC's standard 0.18/μm CMOS process. The clock recovery is based on a PLL. For phase noise optimization,a dynamic phase and frequency de... A 2.5Gb/s clock and data recovery (CDR) circuit is designed and realized in TSMC's standard 0.18/μm CMOS process. The clock recovery is based on a PLL. For phase noise optimization,a dynamic phase and frequency detector (PFD) is used in the PLL. The rms jitter of the recovered 2.5GHz clock is 2.4ps and the SSB phase noise is - 111dBc/Hz at 10kHz offset. The rms jitter of the recovered 2.5Gb/s data is 3.3ps. The power consumption is 120mW. 展开更多
关键词 clock recovery data recovery phase locked loop dynamic phase and frequency detector
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2.5Gb/s Monolithic IC of Clock Recovery,Data Decision,and 1∶4 Demultiplexer 被引量:2
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作者 陈莹梅 王志功 +1 位作者 熊明珍 章丽 《Journal of Semiconductors》 EI CAS CSCD 北大核心 2005年第8期1532-1536,共5页
A high integrated monolithic IC, with functions of clock recovery, data decision, and 1 : 4 demultiplexer,is implemented in 0.25μm CMOS process for 2.5Gb/s fiber-optic communications. The recovered and frequency div... A high integrated monolithic IC, with functions of clock recovery, data decision, and 1 : 4 demultiplexer,is implemented in 0.25μm CMOS process for 2.5Gb/s fiber-optic communications. The recovered and frequency divided 625MHz clock has a phase noise of -106.26dBc/Hz at 100kHz offset in response to a 2.5Gb/s PRBS input data (2^31-1). The 2.5Gb/s PRBS data are demultiplexed to four 625Mb/s data. The 0.97mm× 0.97mm IC consumes 550mW under a single 3.3V power supply (not including output buffers). 展开更多
关键词 optical transmission systems clock recovery circuits data decision 1 4 demultiplexer charge pump phase-locked loops
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New Formulation for Arbitrary Cracks Problem and Its Stress Intensity Factor of Plane Elasticity 被引量:4
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作者 杨晓春 范天佑 刘士强 《Journal of Beijing Institute of Technology》 EI CAS 1999年第4期364-369,共6页
Aim The general arbitrary cracked problem in an elastic plane was discussed. Methods For the purpose of acquiring the solution of the problem, a new formulation on the problem was proposed. Compared with the classic... Aim The general arbitrary cracked problem in an elastic plane was discussed. Methods For the purpose of acquiring the solution of the problem, a new formulation on the problem was proposed. Compared with the classical plane elastic crack model, only the known conditions were revised in the new formulation, which are greatly convenient to solve the problem, and no other new condition was given. Results and Conclusion The general exact analytic solution is given here based on the formulation though the problem is very complicated. Furthermore, the stress intensity factors K Ⅰ, K Ⅱ of the problem are also given. 展开更多
关键词 complex variable function method general curve cracks Riemann Hilbert boundary value problem closed form solution stress intensity factors
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EXPERIMENTAL STUDY ON DARCY′S LAW IN HELE-SHAW CELLS 被引量:1
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作者 孙建红 许金造 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2003年第2期134-139,共6页
The basic physics of unsteady Hele-Shaw flow at high Reynolds numbers is mainly studied by an experimental measurement. In order to confirm the Darcy′s law in Hele-Shaw cell, since there is an analogy between flow in... The basic physics of unsteady Hele-Shaw flow at high Reynolds numbers is mainly studied by an experimental measurement. In order to confirm the Darcy′s law in Hele-Shaw cell, since there is an analogy between flow in cells and that in porous media, progressive water waves are utilized to build an unsteady flow in a Hele-Shaw cell, and which complex wave number is measured by a wave height gauge. Meanwhile, theoretical analyses are used to compare with experimental data. Result shows Darcy′s Law is not exactly correct for unsteady Hele-Shaw flows, and it is expected to conduct a modified Darcy′s Law. 展开更多
关键词 Hele-Shaw cell surface water wave Darcy′s law
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Influence of pyrolysis temperature on structure and dielectric properties of polycarbosilane derived silicon carbide ceramic 被引量:2
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作者 丁冬海 周万城 +2 位作者 周璇 罗发 朱冬梅 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2012年第11期2726-2729,共4页
β-SiC ceramic powders were obtained by pyrolyzing polycarbosilane in vacuum at 800-1200 °C. The β-SiC ceramic powders were characterized by TGA/DSC, XRD and Raman spectroscopy. The dielectric properties of β-S... β-SiC ceramic powders were obtained by pyrolyzing polycarbosilane in vacuum at 800-1200 °C. The β-SiC ceramic powders were characterized by TGA/DSC, XRD and Raman spectroscopy. The dielectric properties of β-SiC ceramic powders were investigated by measuring their complex permittivity by rectangle wave guide method in the frequency range of 8.2-18 GHz. The results show that both real part ε′ and imaginary part ε″ of complex permittivity increase with increasing pyrolysis temperature. The mechanism was proposed that order carbon formed at high temperature resulted in electron relaxation polarization and conductance loss, which contributes to the increase in complex permittivity. 展开更多
关键词 silicon carbide ceramic polycarbosilane derived SiC dielectric properties pyrolysis temperature free carbon complexpermittivity
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Analysis and Design of a Phase Interpolator for Clock and Data Recovery 被引量:5
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作者 孙烨辉 江立新 《Journal of Semiconductors》 EI CAS CSCD 北大核心 2008年第5期930-935,共6页
In this paper,a detailed analysis of a phase interpolator for clock recovery is presented. A mathematical model is setup for the phase interpolator and we perform a precise analysis using this model. The result shows ... In this paper,a detailed analysis of a phase interpolator for clock recovery is presented. A mathematical model is setup for the phase interpolator and we perform a precise analysis using this model. The result shows that the output amplitude and linearity of phase interpolator is primarily related to the difference between the two input phases. A new encoding pattern is given to solve this problem. Analysis in the circuit domain was also undertaken. The simulation results show that the relation between RC time-constant and time difference of input clocks affects the linearity of the phase interpolator. To alleviate this undesired effect, two adjustable-RC buffers are added at the input of the PI. Finally,a 90nm CMOS phase interpolator,which can work in the frequency from 1GHz to 5GHz,is proposed. The power dissipation of the phase interpolator is lmW with a 1.2V power supply. Experiment results show that the phase interpolator has a monotone output phase and good linearity. 展开更多
关键词 phase interpolator clock and data recovery CMOS
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REALIZATION OF ALGORITHM OF TOOL PATH GENERATION FOR NC MACHINING OF MOLAR PROSTHESIS
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作者 王奇峰 孙全平 +1 位作者 戴宁 廖文和 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2007年第4期323-328,共6页
The CAD model of molar prosthesis is usually stored in standard templete library (STIr) format. A new topological structure is given based on STL format and the vertex-based entity offset algorithm is presented to r... The CAD model of molar prosthesis is usually stored in standard templete library (STIr) format. A new topological structure is given based on STL format and the vertex-based entity offset algorithm is presented to realize the rapid generation of roughing/finishing tool path for molar prosthesis. Simulation results show that the proposed algorithm prossesses characteristics of excellent stabilization, fast calculation speed and high machining accuracy. 展开更多
关键词 mlar prosthesis numerical control programming tool path
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高中数学“GX”四课型教学探讨
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作者 柏启宏 《凯里学院学报》 1998年第S1期47-49,共3页
人教社《教参》对高中《代数》(下册)第八章《复数》的授课序与课时分配是: 8.1 数的概念的发展。约1课时; 8.2 复数的有关概念。约1课时; 8.3 复数的向量表示。约2课时; 8.4 复数的加法与减法。约2课时; 8.5 复数的乘法与除法。约... 人教社《教参》对高中《代数》(下册)第八章《复数》的授课序与课时分配是: 8.1 数的概念的发展。约1课时; 8.2 复数的有关概念。约1课时; 8.3 复数的向量表示。约2课时; 8.4 复数的加法与减法。约2课时; 8.5 复数的乘法与除法。约2课时; 8.6 复数的三角式。约1课时; 8.7 复数的三角式的运算。约7课时; 小结和复习,约2课时,共计18课时。 “GX”按照“整体设计,分层推进,上挂下连,滚动向前”的精神,对《复数》进行新的排列与课时划分为 8.1 数的概念的发展,约1课时; 8.2 复数的有关概念(代数式、向量式、三角式)约3课时; 8.3 复数的加减法(代数式、向量式、三角式)约2课时; 8.4 复数的乘除法(代数式、向量式、三角式)约4课时; 8.5 复数的乘方与开放(代数式、向量式、三角式)约4课时。 复习与小结,约2课时,共计16课时。 展开更多
关键词 高中数学 四课型 三角式 向量式 教学原则 《复数》 分层推进 习题课 乘除法 数的概念
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对职高数学教材的意见和建议
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作者 杨本初 《河南科技学院学报(社会科学版)》 1997年第1期20-20,共1页
我校自1992年秋开始使用全国职业高级中学的数学课本,已有四届学生使用过,共19个班,先后有八位老师任教,大家一致认为,整套教材对于提高学生的文化素质,培养学生的各种能力,突出理论联系实际,突出数学思想和方法的结合,覆盖面大及强化... 我校自1992年秋开始使用全国职业高级中学的数学课本,已有四届学生使用过,共19个班,先后有八位老师任教,大家一致认为,整套教材对于提高学生的文化素质,培养学生的各种能力,突出理论联系实际,突出数学思想和方法的结合,覆盖面大及强化学生的思维训练等方面都具有一定的特点,应该说,是一套比较好的教材。但通过几年的实践,联系学生实际,我们又感到这套教材还存在着如下几个问题: 一、教材容量太大,在有限的时间完成它有困难。按教材的要求,256课时完成一、二册全部内容。我校实行周课时4节(省教计划),每学期64课时, 展开更多
关键词 职高数学 平面向量 《复数》 一元一次不等式 理论联系实际 数学思想和方法 思维训练 教学方法 文化素质 职业高级中学
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在复平面上探讨几个曲线问题
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作者 赵慧知 《机械职业教育》 1996年第6期29-30,共2页
数学领域由于复数的引入.使代数、三角、几何有机地联系在一起,人们获得了解决问题的一种强有力的新工具.在一些问题上用复数知识去解决,其效果更好.本文仅就几何问题作一小议.一、建立在复平面上的一些基本公式和曲线方程(一)两点间距... 数学领域由于复数的引入.使代数、三角、几何有机地联系在一起,人们获得了解决问题的一种强有力的新工具.在一些问题上用复数知识去解决,其效果更好.本文仅就几何问题作一小议.一、建立在复平面上的一些基本公式和曲线方程(一)两点间距离公式:(见图1) 展开更多
关键词 复平面 两点间距离公式 抛物线方程 双曲线方程 数学领域 两焦点 新工具 解决问题 圆锥曲线 《复数》
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2.5Gb/s/ch 0.18μm CMOS Data Recovery Circuit
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作者 刘永旺 王志功 李伟 《Journal of Semiconductors》 EI CAS CSCD 北大核心 2007年第5期692-695,共4页
A 2.5Gb/s/ch data recovery (DR) circuit is designed for an SFI-5 interface. To make the parallel data bit-synchronization and reduce the bit error rate (BER) ,a delay locked loop (DLL) is used to place the cente... A 2.5Gb/s/ch data recovery (DR) circuit is designed for an SFI-5 interface. To make the parallel data bit-synchronization and reduce the bit error rate (BER) ,a delay locked loop (DLL) is used to place the center of the data eye exactly at the rising edge of the data-sampling clock. A single channel DR circuit was fabricated in TSMC's standard 0. 18μm CMOS process. The chip area is 0. 46mm^2. With a 2^32 - 1 pseudorandom bit sequence (PRBS) input,the RMS jitter of the recovered 2.5Gb/s data is 3.3ps. The sensitivity of the single channel DR is less than 20mV with 10-12 BER. 展开更多
关键词 data recovery delay locked loop bit-synchronization
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