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一类面积问题的推广 被引量:2
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作者 张小川 翟双 《中国数学教育(初中版)》 2018年第7期101-103,共3页
过三角形边上任意一点的直线将三角形分成两部分,使得其中一部分面积是三角形面积的1n,文章借助对等积转换和三角形相似的性质,用三种方法解决了这个问题,并将三角形的情形推广到了四边形和凸多边形,使得问题更加丰富多彩.
关键词 面积均分 等积转换 相似三角形
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尺规作图二等分多边形面积
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作者 焦丽筠 韩克珠 《安徽教育学院学报》 2005年第6期23-25,共3页
讨论尺规方法均分多边形面积,给出过多边形边界上一点作一直线将多边形面积二等分的作法。
关键词 尺规作图 均分多边形面积
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一种应用于薄板搭接的磁控电弧焊缝跟踪方法 被引量:5
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作者 洪宇翔 向小明 +1 位作者 洪波 何荣拓 《焊接学报》 EI CAS CSCD 北大核心 2013年第10期67-70,116,共4页
薄板搭接的焊缝自动跟踪一直以来都是焊接领域的一个难点,针对其特点提出了一种应用于薄板搭接的磁控电弧焊缝跟踪方法,该方法是采用外加横向交变磁场来控制焊接电弧左右摆动扫描搭接坡口并通过检测焊接电流的变化规律来检测焊缝的偏差... 薄板搭接的焊缝自动跟踪一直以来都是焊接领域的一个难点,针对其特点提出了一种应用于薄板搭接的磁控电弧焊缝跟踪方法,该方法是采用外加横向交变磁场来控制焊接电弧左右摆动扫描搭接坡口并通过检测焊接电流的变化规律来检测焊缝的偏差信号.分别采用双级二阶巴特沃思硬件滤波和小波滤波软件处理,并进行相关对比,最终选定小波阈值降噪滤波处理方法.针对薄板搭接特点和磁控电弧摆动规律,提出了一种基于中点均分面积积分单边比较法和焊枪控制法相结合的焊缝偏差控制方法.通过实际的焊缝跟踪试验表明,这种磁控电弧焊缝自动跟踪方法在薄板搭接上具有独特的优势. 展开更多
关键词 薄板搭接 磁控电弧 小波滤波 中点均分面积积分单边比较法
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油酸包覆的Fe_(3)O_(4)纳米颗粒与DPPG单层膜的相互作用
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作者 王益祎 朱华泽 刘鑫鑫 《功能材料》 CAS CSCD 北大核心 2022年第10期10146-10156,共11页
纳米技术的迅速发展增加了纳米颗粒与人类和环境接触的可能,为生物和环境安全带来了风险。纳米颗粒会通过呼吸作用到达肺泡表面,因此探索纳米颗粒与肺表面活性膜中磷脂分子之间的相互作用是十分必要的。利用Langmuir技术测绘了空气-水... 纳米技术的迅速发展增加了纳米颗粒与人类和环境接触的可能,为生物和环境安全带来了风险。纳米颗粒会通过呼吸作用到达肺泡表面,因此探索纳米颗粒与肺表面活性膜中磷脂分子之间的相互作用是十分必要的。利用Langmuir技术测绘了空气-水界面上油酸包覆的Fe_(3)O_(4)磁性纳米颗粒(OA-Fe_(3)O_(4)MNPs)与二棕榈酰磷脂酰甘油(DPPG)分子间相互作用的表面压-平均分子面积(π-A)等温线、表面压-时间(Δπ-t)曲线、压缩-扩张曲线和振荡曲线,同时利用布鲁斯特角显微镜(BAM)实时监测DPPG单层膜的表面形貌特征。研究表明,当界面上DPPG分子数一定时,随着OA-Fe_(3)O_(4)MNPs浓度的增加,π-A等温线向分子面积增大的方向移动;高浓度的OA-Fe_(3)O_(4)MNPs易使DPPG分子与纳米颗粒形成复合体,致使单层膜的表面压显著升高,膜的压缩模量(C_(s)^(-1))显著降低;与纯DPPG单层膜相比,OA-Fe_(3)O_(4)MNPs的存在使得单层膜的表面压在1h内明显下降;OAFe_(3)O_(4)MNPs浓度增加后,DPPG单层膜的扩张曲线存在明显滞后现象;表面压为25mN/m时,DPPG单层膜对5%的正弦应变扰动具有非线性响应特征,OA-Fe_(3)O_(4)MNPs并未改变DPPG单层膜的粘弹性特征以及弛豫过程的时间尺度。BAM图像支持了Langmuir技术的研究结果。 展开更多
关键词 磁性纳米颗粒 表面压 均分面积 热力学 流变 粘弹性
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Research Progress of Cold Resistance Mechanism of Cassava 被引量:1
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作者 Wei ZHANG Tuo YI +1 位作者 Yong WU Yong SONG 《Agricultural Science & Technology》 CAS 2017年第9期1607-1614,共8页
Cassava is vulnerable to frost and snow, so it is suitable for planting in tropical and subtropical region. Low temperature is an important environment factor affecting the growth and development and production of cas... Cassava is vulnerable to frost and snow, so it is suitable for planting in tropical and subtropical region. Low temperature is an important environment factor affecting the growth and development and production of cassava, and the region with annual average temperature below 15 ℃ is not conducive to its normal growth and development. The improvement of cold resistance of cassava can increase the planting area and improve the yield and quality of cassava. In this study, morphological,physiological and biochemical and molecular researches on cold resistance of cassava, as well as the latest research progress,were reviewed in this paper. At the same time, some potential difficulties in the research on cold resistance of cassava were put forward, and the future work focus was also discussed. 展开更多
关键词 CASSAVA Low temperature Cold resistance Physiology and Biochemistry Research progress
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Glacier Variation in Response to Climate Change in Chinese Tianshan Mountains from 1989 to 2012 被引量:9
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作者 HE Yi YANG Tai-bao +3 位作者 JI Qin CHEN Jie ZHAO Gang SHAO Wan-wan 《Journal of Mountain Science》 SCIE CSCD 2015年第5期1189-1202,共14页
Based on the 1990, 2000 and 2011 Landsat TM/ETM+ remote sensing data, glacier information of three periods in the Chinese Tianshan Mountains were extracted by using ratio threshold method(TM3/TM5) and visual interpret... Based on the 1990, 2000 and 2011 Landsat TM/ETM+ remote sensing data, glacier information of three periods in the Chinese Tianshan Mountains were extracted by using ratio threshold method(TM3/TM5) and visual interpretation, combined with digital processing of satellite images and analysis in GIS. The climate data in the surrounding area were analyzed by using linear regression, Mann-Kendall abrupt test, and Morlet wavelet analysis. Study results showed that: over the 23 years investigation, the glacier areas have markedly decreased. In the last 12 years(2000 to 2011), the rate of retreat has begun to accelerate. The most dramatic glacier shrinkage occurred in the central region, the lowest in the eastern region. The mean summer temperature and warm precipitation in Chinese Tianshan Mountains had an increasing trend, with rates of 0.22°C /10 a and 5.1mm/10 a from 1960 to 2011, respectively. Mean summer temperature have experienced a strong increase in 1998. The analysis of the results showed that the rise of mean summer temperature was the main factor that contributed to glacier shrinkage. Regional differences of glacier area changes were investigated by analyzing glacier behavior in five study sub-regions; regional differences are related to local climate, to the relative proportion of glaciers in different size classes, altitudinal and aspect distribution of glaciated areas. In addition, the lag theory indicated that glaciers may accelerate the retreat in the next decade, considering climate trends recognized for the period 2000-2011. 展开更多
关键词 Climate variation GLACIER REMOTESENSING TIANSHAN
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Some Results on Areally Mean Valent Functions
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作者 魏寒柏 李万社 张良 《Chinese Quarterly Journal of Mathematics》 CSCD 1997年第4期1-15, ,共15页
Let M be the class of areally mean univalent function, f ∈M and In this paper, we estimate the arithmetical mean of coefficients Dn(λ) and the arithmetical mean of successive coefficients tn(λ) =||Dn+1(λ)|-|Dn(λ)... Let M be the class of areally mean univalent function, f ∈M and In this paper, we estimate the arithmetical mean of coefficients Dn(λ) and the arithmetical mean of successive coefficients tn(λ) =||Dn+1(λ)|-|Dn(λ)||. Our results are sharp. In addition, we also generalize Hayman's theorem on integral mean 展开更多
关键词 areally mean univalent functions maximal growth integral mean
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Flat Currents of Green-Schwarz Superstring in AdS2 × S^2 Background
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作者 WANG Xiao-Hui WANG Zhan-Yun CAI Xiao-Lin SONG Pei HOU Bo-Yu SHI Kang-Jie 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第4期663-668,共6页
From the κ symmetric action of IIB string in AdS2 × S^2 background given by Zhou, we derive the equations of motion. By using the twisted dual transformation which was introduced by Hou, we construct the flat cu... From the κ symmetric action of IIB string in AdS2 × S^2 background given by Zhou, we derive the equations of motion. By using the twisted dual transformation which was introduced by Hou, we construct the flat currents, conserving non-local charge with one free parameter, for the superstring in AdS2 × S^2. 展开更多
关键词 Green-Schwarz superstring INTEGRABILITY AdS2 × S^2
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如何分出图形面积的1/n
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作者 张小川 张建学 《数理化学习》 2017年第4期22-26,共5页
如何画出三角形的面积均分线是大家熟悉的问题,多数文献和资料的讨论主要集中在两个方面:(1)过三角形的某一个顶点作三角形的面积均分线;(2)过三角形边上某一点作三角形的面积均分线.笔者在研究这个问题过程中发现可以推广到更一... 如何画出三角形的面积均分线是大家熟悉的问题,多数文献和资料的讨论主要集中在两个方面:(1)过三角形的某一个顶点作三角形的面积均分线;(2)过三角形边上某一点作三角形的面积均分线.笔者在研究这个问题过程中发现可以推广到更一般的情况. 展开更多
关键词 面积均分线 三角形面积的1/n 四边形 多边形
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鞘磷脂、胆固醇和两性霉素B混合单层膜的热力学特性研究及AFM观测
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作者 李晋 郝长春 +5 位作者 杨静 王清辉 魁丽婷 姚丽娜 韩晶 孙润广 《生物物理学报》 CAS CSCD 北大核心 2014年第4期309-320,共12页
两性霉素B为多烯类抗真菌抗生素,可通过影响细胞膜通透性发挥抑制真菌生长的作用,被广泛用于治疗引起患者免疫缺陷的全身真菌感染性疾病。其药理作用对生物膜性质的影响一直是一个关注热点。作者利用Langmuir-Blodgett膜技术和原子力显... 两性霉素B为多烯类抗真菌抗生素,可通过影响细胞膜通透性发挥抑制真菌生长的作用,被广泛用于治疗引起患者免疫缺陷的全身真菌感染性疾病。其药理作用对生物膜性质的影响一直是一个关注热点。作者利用Langmuir-Blodgett膜技术和原子力显微镜(atomic force microscope,AFM)分别研究了鞘磷脂/两性霉素B二元混合单层膜及鞘磷脂、胆固醇和两性霉素B三元混合单层膜体系的热力学特性和表面形貌。通过对二元混合系统和三元混合系统的表面压力-平均分子面积曲线的测量,定量分析了固定膜压下的平均分子面积、过量分子面积和过量吉布斯自由能等参量,并分别观测了二元混合单层膜和三元混合单层膜的形态。热力学分析结果表明,胆固醇的加入可以促进鞘磷脂/两性霉素分子之间的相互作用,同时,AFM观察结果表明,一定量的胆固醇可以提高混合单层膜的平整度和稳定性。 展开更多
关键词 两性霉素B LANGMUIR-BLODGETT膜 原子力显微镜 表面压力-平均分面积曲线 过量吉布斯自由能
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SPHERICAL MEANS, DISTRIBUTIONS AND CONVOLUTION OPERATORS IN CLIFFORD ANALYSIS 被引量:5
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作者 F.BRACKX R.DELANGHE F.SOMMEN 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2003年第2期133-146,共14页
New higher dimensional distributions are introduced in the framework of Clifford analysis.They complete the picture already established in previous work, offering unity and structuralclarity. Amongst them are the buil... New higher dimensional distributions are introduced in the framework of Clifford analysis.They complete the picture already established in previous work, offering unity and structuralclarity. Amongst them are the building blocks of the principal value distribution, involvingspherical harmonics, considered by Horvath and Stein. 展开更多
关键词 Spherical means DISTRIBUTIONS Convolution operators Clifford analysis
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