A-APF样本初稿V2.0
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Standard rangeThe Alfa Laval weighing system is a complete solution offered for process weighing installation where level measurement,mixing,filling, dosing or batching is required.The weighing solution is as standard delivered in two different accuracy ranges:0.025%and0.015%with a total measuring range from0to150kg.Each weighing system consists of a digital single point load cell anda weighing module.The weighing modules are available with both analog4-20mA output,andfieldbus interface(PROFINET,Profibus DP or EtherNet IP).For high hygienic demands,the Alfa Laval load cells are supplied electropolished and hermetically sealed to IP68(laser welded).Capacitive measurement principle(patented)The Alfa Laval robust digital load cells are based on a patented capacitive measurement principle where a non-contacting capacitive sensor is mounted inside the load cell body.As the capacitive sensor is not in contact with the load cell body,the load cells are to a very high degree unaffected by overloads,sideloads,torsion and welding voltages.Therefore,a straightforward and hygienic mechanical installation of the load cells can be done without expensive and complicated mounting kits and overload protection devices.The electrical installation of the digital load cells is pure plug-and-play as the signal from the non-contacting capacitive sensor is directly converted,compensated and calibrated by a patented ASIC.The digital signal is transmitted as RS485data on a reliable RG-58single wire coaxial cable which may be up to50meters long.The factory calibration of the digital load cells is independent of the load cell cable length.Technical dataStainless steel enclsure..........IP68Stainless steel enclosure with panelmounted display...............IP64Measuring range:..............from0to150kg dependingon system selection. Accuracy:...................0.025%,0.015% Compensated temperature range:...-10to50°COverload and sideload:..........300%overload tolerance Power supply:................24VDC±10%,min.2A CertificatesCE marked3.1B certificateCalibration certificate(Option)Mechanical dataWeight:Load cell:Type TE67WS................SPSX2.5kgWeighing modules:.............approx.0.5kg Materials:Load cells:..................AISI316and17-4PH Operating temperature range:Load cells:..................-50to70°C(100°C withteflon cable)Weighing modules:.............-10to50°CProtection class:Load cells:..................IP68Weighing modules:.............IP20SpecificationsParameter Unit0.025%0.015% Rated capacity(Emax)per load cell kg5,10,20,50,100,150 Safe overload limit%of E max300to1000Safe sideload limit%of E max500to2000 Minimum dead load%of E max0 Accuracy%of E max0.0250.015 Repeatability%of E max0.0080.005 Hysteresis%of E max0.0100.005 Creep30min.%of E max0.0150.010 Temperature effect on zero%/10°C0.0300.020 Temperature effect on sensitivity%/10°C0.0300.020 Deflection at Emax mm max.0.10 Mesuring rate Hz up to1000 Internal resolution Bit24OptionsOutput:4-20mAPROFINETEtherNet IPProfibus DPRS485Local weighing display:Alfa Laval weighing displayLoad cell cable:6m standard coaxial RG58with BNC connector(option:10,20or50m)Dimensional drawingsSingle point load cell,type SPSXLayout and electrical connection schematic of weighing modules:Profinet weighing module for4load cells(external dimensions is the same for Profibus DP and Ethernet IP4-20mA output weighing module for4load cellsRS485interface module(when ordered with display)14mm/5.51in128mm/5.4in116mm/4.57in11mm/.43in29 mm / 1.14 in60 mm / 2.36 inø4.5 mm / ø0.18 in66 mm / 2.60 inStainless steel enclosureEnclosure when ordered without display.Enclosure with displaySelection guideWhen configuring a weighing system,you need the following information:•Total weight of vessel incl.product in kg•Required output and/or local display•Required accuracy for the application(0.025%or0.015%)With this information,yoy are able tofind the configuration you need in the price list or in the online configuration tool: Step1:Calculate the total weight of the tank inclusive the product in kg and round up to the nearest standard load cell system. Step2:Decide on accuracy required by the application-0.025%accuracy systems are suitable for dosing applications-0.015%accuracy systems are suitable for very precise dosing and batching applicationsStep3:Decide on the output signal type and/or a local weighing display:-4-20mA-PROFINET-EtherNet IP-Profibus DP-RS485Step4:Decide if you want the display and/or weighing modules supplied mounted in a stainless steel enclosureYou have the following options:-Without stainless steel enclosure-Weighing module mounted in stainless steel enclosure(without display)-Display mounted in stainless steel enclosureStep5:Decide on the length of the load cell cables(the length of the cable is can be shortened without the need for recalibration) -6m(standard)-10m-20m-50mStep6:Decide on if you need Calibration certificateAlfa Laval reserves the right to change specifications without prior notification.How to contact Alfa LavalContact details for all countriesare continually updated on our website.Please visit toaccess the information direct.A l f a L a v a l i s a t r a d e m a r k r e g i s t e r e d a n d o w n e d b y A l f a L a v a l C o r p o r a t e AB . E S E 03346e n 1906。
内部资料严禁翻印测量系统分析参考手册第三版1990年2月第一版1995年2月第一版;1998年6月第二次印刷2002年3月第三版©1990©1995©2002版权由戴姆勒克莱斯勒、福特和通用汽车公司所有测量系统分析参考手册第三版1990年2月第一版1995年2月第一版;1998年6月第二次印刷2002年3月第三版©1990©1995©2002版权由戴姆勒克莱斯勒、福特和通用汽车公司所有本参考手册是在美国质量协会(ASQ)及汽车工业行动集团(AIAG)主持下,由戴姆勒克莱斯勒、福特和通用汽车公司供方质量要求特别工作组认可的测量系统分析(MSA)工作组编写,负责第三版的工作组成员是David Benham(戴姆勒克莱斯勒)、Michael Down (通用)、Peter Cvetkovski(福特),以及Gregory Gruska(第三代公司)、Tripp Martin(FM 公司)、以及Steve Stahley(SRS技术服务)。
过去,克莱斯勒、福特和通用汽车公司各有其用于保证供方产品一致性的指南和格式。
这些指南的差异导致了对供方资源的额外要求。
为了改善这种状况,特别工作组被特许将克莱斯勒、福特和通用汽车公司所使用的参考手册、程序、报告格式有及技术术语进行标准化处理。
因此,克莱斯勒、福特和通用汽车公司同意在1990年编写并以通过AIAG分发MSA手册。
第一版发行后,供方反应良好,并根据实际应用经验,提出了一些修改建议,这些建议都已纳入第二版和第三版。
由克莱斯勒、福特和通用汽车公司批准并承认的本手册是QS-9000的补充参考文件。
本手册对测量系统分析进行了介绍,它并不限制与特殊生产过程或特殊商品相适应的分析方法的发展。
尽管这些指南非覆盖测量系统通常出现的情况,但可能还有一些问题没有考虑到。
这些问题应直接向顾客的供方质量质量保证(SQA)部门提出。
第22卷第6期重庆科技学院学报(自然科学版)2020年12月基于Apriori算法的电子商务个性化推荐系统研究陶庆凤(闽南理工学院实践教学中心,福建石狮362700)摘要:研究基于April算法的电子商务个性化推荐系统。
通过该系统,可以实现对电商的日常交易行为大数据的挖掘,并为用户量身定制推荐相关内容。
实现该系统的关键是,在大型存储库中发现关联规则,并通过修改后的Apaoa技术将关联规则转换为用户偏好推荐。
在此基础上,根据权重对算法进行优化剪枝,以降低算法的复杂度,提高算法的实时性。
关键词:个性化;ApAoa算法;数据挖掘;电商系统中图分类号:TP393文献标识码:A文章编号:1673-1980(2020)06-0062-03近年来,电商平台一直致力于通过海量的用户数据分析来深入了解客户的需求和期望,分组定义现有客户和潜在客户,从而强化营销策略的有效性及公司市场份额[1]o在互联网大数据的背景下,运用有效的数据挖掘和知识发现方法来实现对用户偏好的精准挖掘,也是电商公司的核心竞争力之一⑵'目前,市场上已出现了多种推荐系统[3-5]o推荐系统的主要任务是,推荐客户和选择合适的客户,预测特定客户对特定产品的喜好程度,以及识别客户感兴趣的产品列表。
Ozmutlu等人的研究表明,通过泊松采样选择的样本集统计数据能有效地代表整个数据集的特征,通过数据挖掘算法的聚类分析可识别某些相似度较高的实体组Schafer等人提出了一种使用聚类技术发现群组的不同方式[7]。
这两项研究中的算法都是基于相似性度量的不同定义来表示用户之间的亲密度,也可以根据用户执行的交易类型对其进行分组[8]。
吴雅琴等人基于\-means的算法研究引入了一种聚类挖掘算法⑼,能够有效地提高聚类质量和收敛速度,解决\-means聚类算法容易陷入局部最优陷阱的问题。
现有的算法研究多基于海量数据进行分析和挖掘,复杂度相对较高,所需数据特征较多;而用于中小型网站时,由于没有足够的数据积累,其实时,性、推荐效率都大受影响。
在操作本产品前,请先详细阅读并注意相关安全讯息,确保自身安全及产品安全。
本说明书中为了详尽解说产品细部,会将外壳拿开或将安全遮盖物拆解后,以图文方式作为描述。
至于本产品在运转中,务必依照规定装好外壳及配线正确,参照说明书操作运行,确保安全。
说明书内文的图标,为了方便说明事例,会与实体机种稍有不同,但不会影响客户权益。
产品文件有更新或修改内容时,可至台达电子工业自动化类产品下载最新版本。
( /industrialautomation/ )下列表格, 可提供专业的电机工程人员能快速掌握安装的细节。
可预防因人为疏失造成不必要的伤害。
只有具备资格的电机工程师才允许调适设备。
仔细阅读并遵守本手册『使用之前』的安全须知。
忽视这些安全须知可能会造成人身伤害或死亡。
安装设备□设备安装是否在室内且通风、相对湿度保持<90%,无结霜。
□操作环境温度是否保持在 -10~45℃。
□安装符合污染等级:二级(适用工厂环境)与无污染物质以及具电子污染粉尘物质之气体。
□放置场所必须符合安全合格的消防位置, 无尘, 周围无腐蚀性气体, 无震动。
□是否有堆放及重压于有源滤波器上方。
□放置位置是否平坦的地面。
□应用场所环境不佳时, 请选择加装空气过滤网的机型。
安装电气□设备确实接地□设备输入电压电压值是否与电源电压一致□输入端子是否配线正确□电源电线选用是否正确;可参照使用手册□输入端需连接保险丝与隔离开关,可参照使用手册□设备中的变压器的电压值是否与电源电压一致□安装CT时, 方向是否正确。
『电流互感器电网端接:K (S1), 负载端接:L (S2)』□安装CT的线径与线长是否正确, 请参考使用手册内容□确认有源滤波器(APF)机身内,无其它导体之工具及安装零件。
□确认调整变压器电压值后, 其隔板是否放回原位。
启动前设备□启动有源滤波器(APF)前, 确定电源保护装置是否输入侧/输出侧为不带电的状态中□当电源线配线完成后, 检查机箱门是否关闭。
APF低压电器的选型一、低压电器选型手册的一般原则:1、低压电器的额定电压应不小于回路的工作电压,即Ue≥Ug;2、低压电器的额定电流应不小于回路的计算工作电流,即Ie≥Ig;3、设备的遮断电流应不小于短路电流,即Izh≥Ich;4、热稳定保证值应不小于计算值;5、按回路起动情况选择低压电器。
如熔断器和自动空气开关就需按起动情况进行选择。
二、塑壳断路器额定电流的选择以逆变回路为例:变流器(直流变交流的逆变器),可控硅整流回路,逆变器回路,由于一次侧(输入端) 电流的畸变率高,高次谐波电流比例大,纯电磁式(液压式或称为油杯式) 塑壳断路器的脱扣器油管是采用黄铜材料的,电流频率增大,油管内产生的涡流也增加,线圈产生的磁通无法完全通过油管内的铁心,故其动作值有很大的变化,即在正常情况下,它将不会动作,因此以上变流器回路的输入电流的畸变率达90%,高次谐波占有率很大,应采用热动--电磁型塑料外壳式断路器。
对变流器回路,断路器的额定电流In ≥(1. 4~2. 0) IL。
APF的补偿电流THD≦100%,所以可以根据变流器的的选择方案来选择断路器:In ≥(1. 4~2. 0) IL(In为断路器额定电流,IL为线路或电气设备的额定电流)断路器分段能力:断路器的额定分断能力分为额定极限短路分断能力和额定运行短路分断能力两种。
国标《低压开关设备和控制设备低压断路器》(GB14048.2—94)对断路器额定极限短路分断能力和额定运行短路分断能力作了如下的解释:(1)断路器的额定极限短路分断能力(Icu):按规定的实验程序所规定的条件,不包括断路器继续承载其额定电流能力的分断能力;(2)断路器的额定运行短路分断能力(Ics):按规定的实验程序所规定的条件,包括断路器继续承载其额定电流能力的分断能力;额定极限短路分断能力Icu指的是低压断路器在分断了断路器出线端最大三相短路电流后还可再正常运行并再分断这一短路电流一次,至于以后是否能正常接通及分断,断路器不予以保证;而额定运行短路分断能力Ics指的是断路器在其出线端最大三相短路电流发生时可多次正常分断。
附件1全国艾滋病检测技术规范National Guideline for Detection of HIV/AIDS(2015年修订版)中国疾病预防控制中心二○一五年十二月全国艾滋病检测技术规范National Guideline for Detection of HIV/AIDS(2015年修订版)中国疾病预防控制中心二○一五年十二月前言艾滋病在我国的流行已数十年,随着感染者和临床病人的不断增加、感染人群的变化,艾滋病检测工作量逐渐加大,对监测和检测的需求也不断增加,承担艾滋病检测的实验室已遍及全国各级医疗、疾病预防控制、采供血、妇幼保健机构,出入境检验检疫、军队等各个系统。
为了尽早发现HIV感染者和艾滋病病人,及早提供咨询、治疗,同时为适应基层艾滋病检测工作需求,在新的形势下,根据《关于艾滋病抗病毒治疗管理工作的意见》、《中国预防与控制艾滋病中长期规划(1998—2010年)》、《中国遏制与防治艾滋病十二五行动计划的通知(国办发[2012]4号)》、“四免一关怀”等国家艾滋病防治重要方针政策和十三五防治工作重点,在广泛征求各省、市疾病预防控制机构和医疗机构意见的基础上,在中华人民共和国卫生和计划生育委员会艾滋病专家及省级专家的参与下,中国疾病预防控制中心性病艾滋病预防控制中心对《全国艾滋病检测技术规范(2009年版)》进行修改、增补和完善,制定出《全国艾滋病检测技术规范(2015年版)》(以下简称《规范》),使其既能满足目前艾滋病检测工作的实际需求,又能体现检测技术的发展。
本次《规范》修订工作立足于我国目前检测状况,结合发达国家使用的指南,主要对以下几个方面内容进行了修改、增补和完善:(1)完善了不同的检测策略,并将其整合为独立的一章;(2)增加了HIV-1新发感染检测一章;(3)新增补充试验概念,其内容包括抗体确证试验(WB,RIBA/LIA等)和核酸试验(定性和定量试验);(4)增加了第4代试剂(抗原抗体联合检测试剂)的检测流程;(5)增加核酸检测流程;(6)完善了检测报告。
蚌埠市2025届高三调研性考试数学(答案在最后)本试卷满分150分,考试时间120分钟注意事项:1.答卷前,考生务必将自己的姓名、准考证号填写在答题卡和试卷上.2.回答选择题时,选出每小题答案后,用铅笔把答题卡上对应题目的答案标号涂黑.如需改动,用橡皮擦干净后,再选涂其他答案标号.回答非选择题时,将答案写在答题卡上.写在本试卷上无效.一、选择题:本题共8小题,每小题5分,共40分.在每小题给出的四个选项中,只有一项是符合题目要求的.1.已知全集为Z ,集合{}1,2,3,4,5A =,{}1,2B =,则()z A B ⋂=ð()A.{}1,2 B.{}3,4,5 C.{}1,3,5 D.{}1,2,3,4,5【答案】B 【解析】【分析】先求出补集,再求交集即可.【详解】{}1,2B =,则z {,3,2,1,0,3,4,5,6,}B =--- ð,则()z {3,4,5}A B = ð.故选:B.2.已知i 为虚数单位,复数z 满足()1i 2z -=,则z 在复平面内对应的点位于()A.第一象限B.第二象限C.第三象限D.第四象限【答案】A 【解析】【分析】先求出复数z ,再进行判断即可.【详解】由题意:21i z =-()()()21i 1i 1i +=-+()21i 1i 2+==+,所以复数z 对应的点的坐标为:()1,1,在第一象限.故选:A3.设a ,b 为夹角是锐角的单位向量,则a b + 与a b - 的夹角为()A.π6B.π4C.π3D.π2【答案】D 【解析】【分析】利用数形结合的方法确定向量的位置关系.【详解】如图:设OA a = ,OB b = ,四边形OACB 为平行四边形,则=+ OC a b ,BA a b =- .因为a,b 为夹角是锐角的单位向量,所以OACB 为菱形,故OC BA ⊥,所以()a b +⊥ ()a b - ,即a b + 与a b - 的夹角为π2.故选:D4.已知1sin sin 3αβ+=,1cos cos 2αβ+=,则()cos αβ-=()A.572B.49- C.5972-D.16【答案】C 【解析】【分析】两个式子两边平方后再相加即可.【详解】因为1sin sin 3αβ+=,两边平方得221sin sin 2sin sin 9αβαβ++=,同理可得221cos cos 2cos cos 4αβαβ++=,两边同时相加得()1322sin sin cos cos 36αβαβ++=,即()1322cos 36αβ+-=,所以()59cos 72αβ-=-,故选:C.5.设函数()()21,1,21,1x ax x f x a x x ⎧-+-≥⎪=⎨-+<⎪⎩是R 上的减函数,则实数a 的取值范围是()A.31,2⎛⎤- ⎥⎝⎦B.31,2⎛⎫- ⎪⎝⎭C.(]1,2- D.3,22⎡⎤⎢⎥⎣⎦【答案】A 【解析】【分析】利用分段函数的单调性及一次函数,二次函数的单调性计算即可.【详解】由题意可得:()123101221111a a a a a ⎧≤⎪⎪+>⇒-<≤⎨⎪-+⨯≥-+-⎪⎩,故实数a 的取值范围是31,2⎛⎤- ⎥⎝⎦.故选:A.6.在直角坐标xOy 平面中,平行直线()00,1,2,3,4,5x y a a +-==与平行直线20x y b -+=()0,1,2,3,4,5b =组成的图形中,平行四边形共有()A.25个B.36个C.100个D.225个【答案】D 【解析】【分析】从平行直线()00,1,2,3,4,5x y a a +-==中选2条,再从平行直线20x y b -+=()0,1,2,3,4,5b =选2条,即可确定1个平行四边形,从而确定平行四边形的个数.【详解】从平行直线()00,1,2,3,4,5x y a a +-==中选2条,再从平行直线20x y b -+=()0,1,2,3,4,5b =选2条,即可确定1个平行四边形,所以可确定平行四边形的个数为:2266C C 1515225⨯=⨯=个.故选:D7.某圆台的下底面半径是上底面半径的3倍,一个半径为3的球与该圆台的两个底面和侧面均相切,则这个圆台的体积为()A.39πB.60πC.78πD.117π【答案】C 【解析】【分析】先求圆台的上下底半径与高,再利用体积公式求解.【详解】如图,作圆台的轴截面:设HD r =,则3FA r =,过D 作DM AB ⊥于M ,则2AM r =,又4AD AE DE AF DH r =+=+=,6DM GF ==,在Rt AMD 中,222AD AM DM =+⇒2221646r r =+⇒23r =.所以圆台的体积为:()22π333V r r r r HG ⎡⎤=++⋅⋅⎣⎦78π=.故选:C8.从解决一元二次方程到解决一元三次方程,人类历经数千年,直到公元16世纪,意大利数学家费罗(1465-1526)、塔尔塔利亚(1500-1557)等人出现,人们才彻底掌握实系数的一元三次方程的求根公式.其过程是先发现了形如3x px q =+的三次方程的求解方法,再将一般形式的一元三次方程转化为形如3x px q =+的三次方程.求解形如3x px q =+的三次方程的具体方法是利用恒等式()333()3u v u v uv u v +=+++,作变换:333,uv p u v q x u v =⎧⎪+=⎨⎪=+⎩,转化为关于3u ,3v 的二次方程就可以得到3u ,3v 的值,进而求出未知数x的值.利用此方法求解方程350x --=的解为()A.1+B.+C.1+D.【答案】B 【解析】【分析】令x u v =+,则根据题意的3335uv u v =+=,解方程得到u v 、的值,然后还原成x 即可.【详解】因为350x --=,令x u v =+,则3())50u v u v +-+-=,即3())5u v u v +=++依题意3335uv u v =+=即33,5u u v v=+=,所以335v v ⎛+= ⎪⎝⎭,整理得63560v v -+=,即33(2)(3)0v v --=解得32v =或33v =当32v =时,33u =,即v u ==当33v =时,32u =,即v u ==所以x u v =+=故选:B .二、选择题:本题共3小题,每小题6分,共18分.在每小题给出的选项中,有多项符合题目要求.全部选对的得6分,部分选对的得部分分,有选错的得0分.9.已知函数()πsin 23f x x ⎛⎫=+ ⎪⎝⎭.下列说法正确的是()A.()f x 的图象关于直线π12x =轴对称B.()f x 在区间π0,2⎛⎫⎪⎝⎭内单调递增C.()f x 的图象关于点π,03⎛⎫⎪⎝⎭中心对称D.将()f x 图象上各点先横坐标扩大为原来的2倍,再向右平移π6个单位得到正弦曲线【答案】AC 【解析】【分析】根据三角函数的图象和性质可判断ABC 的真假,根据函数的图象变换判断D 的真假.【详解】对A :因为ππsin 1122f ⎛⎫== ⎪⎝⎭,是函数的最大值,所以π12x =是函数()f x 的对称轴,故A 正确;对B :由πππ2π22π232k x k -≤+≤+,Z k ∈,可得:5ππππ1212k x k -≤≤+,Z k ∈.所以函数()f x 在π0,12⎛⎫ ⎪⎝⎭上递增,在ππ,122⎛⎫⎪⎝⎭上递减,故B 错误;对C :因为πsin π03f ⎛⎫==⎪⎝⎭,所以π,03⎛⎫⎪⎝⎭是函数()f x 的对称中心,故C 正确;对D :将()f x 图象上各点先横坐标扩大为原来的2倍,可得πsin 3y x ⎛⎫=+⎪⎝⎭的图象,再向右平移π6个单位得到πππsin sin 636y x x ⎛⎫⎛⎫=-+=+ ⎪ ⎪⎝⎭⎝⎭的图象为正弦型曲线,不是正弦曲线,故D 错.故选:AC10.下列命题正确的是()A.若M ,N 两组成对数据的样本相关系数分别0.8M r =,0.9N r =-,则N 组数据比M 组数据的线性相关性更强B.现有10个互不相等的样本数据,去掉其中最大和最小的数据后,剩下的8个数据的25%分位数大于原样本数据的25%分位数C.由样本数据点()()()1122,,,,,,n n x y x y x y 求得的回归直线至少经过其中一个样本数据点D.若随机变量()5,0.4X B ,随机变量21Y X =+,则() 4.8D Y =【答案】ABD 【解析】【分析】对于A,相关系数的绝对值越大,相关性越强,据此判断A;对于B,将数据从小到大排列后,原样本数据的25%分位数为第三位数,新样本数据的25%分位数为第二位、第三位数的平均数,由此可判断B;对于C,回归直线一定经过样本点中心,但不一定至少经过一个样本点;对于D,根据方差的性质计算即可.【详解】对于A ,因为0.90.8->,所以N 组数据比M 组数据的线性相关性更强,A 正确;对于B ,将数据从小到大排列后,原样本数据的25%分位数为第三个数据,新样本数据的25%分位数为第二、三位数的平均数,即原样本数据中的第三、四位数据的平均数,因为这些数据互不相等,所以新数据的25%分位数大于原样本数据的25%分位数,B 正确;对于C ,回归直线一定经过样本点中心,但不一定至少经过一个样本点,C 错误;对于D ,因为()~5,0.4X B ,所以()50.40.6 1.2D X =⨯⨯=,因为21Y X =+,所以()4 1.2 4.8D Y =⨯=,D 正确.故选:ABD.11.已知抛物线2:2(0)C y px p =>的焦点为F ,过点F 的直线l 与抛物线相交于A ,B 两点,线段AB 的中点为M .过点A ,B 分别向C 的准线作垂线,垂足分别为点P ,Q ,过点M 向C 的准线作垂线,交抛物线于点T ,交准线于点N ,O 为坐标原点,则()A.以PQ 为直径的圆与直线l 相切B.MT NT =C.当PF AF =时,点P ,T ,F 共线D.OAB TABS S =△△【答案】ABC 【解析】【分析】设直线l :2px ty =+,代入抛物线方程,利用一元二次方程根与系数的关系,得到各点的坐标,利用向量的方法进行判断各选项的真假.【详解】如图:设直线l :2px ty =+,带入22y px =,并整理得:2220y pty p --=.设1,1,2,2,则122y y pt +=,212y y p ⋅=-,2122x x pt p +=+.所以1,2p P y ⎛⎫- ⎪⎝⎭,2,2p Q y ⎛⎫- ⎪⎝⎭,,2p N pt ⎛⎫- ⎪⎝⎭,2,2p M pt pt ⎛⎫+ ⎪⎝⎭,2,2pt T pt ⎛⎫⎪⎝⎭.则()()21212,,0FQ FP p y p y p y y ⋅=-⋅-=+⋅= ,()()22222,,0FN FM p pt pt pt p t p t ⋅=-⋅-=-+=.所以FQ FP ⊥,FN AB ⊥,所以以PQ 为直径的圆与直线l 相切,故A 正确;又22pt p MT +=,22pt pNT +=,所以MT NT =,故B 正确;2,2pt OT pt ⎛⎫= ⎪⎝⎭,()2,FM pt pt = ,因为2202pt pt pt pt ⋅-⋅≠,所以直线OT 与直线AB 不平行,所以OAB TAB S S =△△不成立,故D 错误;对D :如图:当PF AF =时,因为AP AF =,所以APF 为等边三角形,又,02p F ⎛⎫ ⎪⎝⎭,所以3,32p A ⎛⎫ ⎪⎝⎭或332p A ⎛⎫⎪⎝⎭,当3,32p A ⎛⎫ ⎪⎝⎭时,3,63p B p ⎛⎫ ⎪ ⎪⎝⎭,则53,63p M ⎛⎫- ⎪ ⎪⎝⎭,3,63p T ⎛⎫- ⎪ ⎪⎝⎭,,32p P ⎛⎫-- ⎪⎝⎭,所以().3FP p p =-- ,3,33p FT ⎛⎫=-- ⎪ ⎪⎝⎭,因为3FP FT =,所以点P ,T ,F 共线;当332p A ⎛⎫⎪⎝⎭时,同理可证点P ,T ,F 共线.故C 正确.故选:ABC【点睛】关键点点睛:再选择填空题中,有关圆锥曲线的问题,一定要先考虑圆锥曲线定义的应用.该题就考查了抛物线的定义的应用.三、填空题:本题共3小题,每小题5分,共15分.12.双曲线的实轴长与虚轴长的比为2,则该双曲线的离心率为_________.【答案】52【解析】【分析】根据双曲线的几何性质,结合离心率公式即可求解.【详解】由题意可知222a b =,故2a b =,所以离心率为22512c b e a a ==+=.故答案为:52.13.512(2)y x y x ⎛⎫--⎪⎝⎭的展开式中24x y 的系数为_________.【答案】80【解析】【分析】把已知多项式展开得555112(2)(2)22)(y y x y x y x y x x ⎛⎫---=-- ⎪⎝⎭,再利用二项式5(2)x y -的通项求解即可.【详解】555112(2)(2)22)(y y x y x y x y x x ⎛⎫---=--⎪⎝⎭,二项式5(2)x y -的通项为()()()555155C 2C 21rrrrrr r r r T x y x y ---+=-=⋅⋅-,令3r =得,()332232345C 2140T x y x y =⋅⋅-=-,512(2)y x y x ⎛⎫∴-- ⎪⎝⎭的展开式中24x y 的系数为2(40)80-⨯-=.故答案为:80.14.已知正方体1111ABCD A B C D -的底面ABCD 内有一个动点P ,初始位置位于点A 处,每次移动都会到达正方形ABCD 的一个顶点,其中到达相邻顶点的概率为14,到达对角顶点的概率为12,则移动两次后,“1PC 为正方体的对角线”的概率是_________;对任意*N n ∈,移动n 次后,”1PC ⊥平面ABCD ”的概率是_________.【答案】①.38②.11142n +⎛⎫+- ⎪⎝⎭【解析】【分析】根据题意求出概率的递推关系,进一步求通项公式即可.【详解】如图:设移动n 次后,点P 移动到,,,A B C D 的概率分别为n a ,n b ,n c ,n d ,则10a =,114b =,112c =,114d =,1n n n n a b c d +++=,111111111111111424111442111424111244n n n n n n n n n n n n n n n n a b c d b a c d c b a d d b c a ------------⎧=++⎪⎪⎪=++⎪⎨⎪=++⎪⎪⎪=++⎩,所以()11111122n n n n n n b d a b c d ----+=+++=,()1112n n n n b d d b ---=-,又110b d -=,所以n n b d =.所以14n n b d ==.所以11111182121182n n n n n n a c a c c a ----⎧=+⎪⎪⎪=+⎨⎪⎪=+⎪⎩所以1111822n n a a -⎛⎫=+- ⎪⎝⎭⇒13182n n a a -=-⇒1111424n n a a -⎛⎫-=-- ⎪⎝⎭又11144a -=-,所以14n a ⎧⎫-⎨⎬⎩⎭是以14-为首项,以12-为公比的等比数列,故1111442n n a -⎛⎫-=-⋅- ⎪⎝⎭⇒111422nn a ⎛⎫=+⋅- ⎪⎝⎭.又12n n a c +=,所以11111142242nn n c +⎛⎫⎛⎫=-⋅-=+- ⎪ ⎪⎝⎭⎝⎭.移动两次后,“1PC 为正方体的对角线”,表示P 点移动到点A ,所以概率为:2211134228a ⎛⎫=+⋅-= ⎪⎝⎭;移动n 次后,”1PC ⊥平面ABCD ”,表示P 点移动到点C ,所以概率为:11142n n c +⎛⎫=+- ⎪⎝⎭.故答案为:38;11142n +⎛⎫+- ⎪⎝⎭【点睛】方法点睛:可设移动n 次后,点P 移动到,,,A B C D 的概率分别为n a ,n b ,n c ,n d ,根据题意,先求数列的首项和数列的递推关系,解方程组,可求数列的通项公式.四、解答题:本题共5小题.解答应写出文字说明、证明过程或演算步骤.15.已知函数()ln 21x f x x x=++.(1)求曲线=在点1,1处的切线方程;(2)设函数()()()1g x x f x =+,求()g x 的最值.【答案】(1)3270x y +-=;(2)最小值为3ln2+,没有最大值.【解析】【分析】(1)求导,即可根据点斜式求解直线方程,(2)求导,由函数的单调性,即可计算极值即可求解.【小问1详解】由()22221ln 21ln 2(1)(1)x xx x x x f x x x x x x +-+-=-=-+'+,则()312f '=-,又()12f =,所求切线方程为()3212y x -=--,即3270x y +-=.【小问2详解】()()()21ln 2g x x f x x x=+=++,定义域为0,+∞,所以()22122x g x x x x='-=-,列表如下:()g x 3ln2+因此()g x 的最小值为()23ln2g =+,没有最大值.16.已知ABC V 的内角,,A B C 的对边分别为a ,b ,c ,点D 是边BC 的中点,1AD =,且ABC V 的面积为2.(1)若45CAD ∠= ,求a ;(2)若2212b c +=,求A .【答案】(1)(2)3π4A =【解析】【分析】(1)由题意得112CAD ABC S S ==△△,再用三角形面积公式可解得b 的值,在ACD 中,由余弦定理可求出CD 的值,继而可求出a ;(2)利用CDA ∠与BDA ∠的互补关系,在ACD 和ABD △中运用余弦定理,结合题意可得2a 的值,由面积公式可得sin 4bc A =,再由余弦定理可得cos 4=-bc A ,从而可得tan A 的值,由A 的范围即可求解.【小问1详解】因为点D 是边BC 的中点,所以112CAD ABC S S ==△△.而1sin 12CAD S AD b CAD ∠=⨯⨯⨯=△,由1AD =,45CAD ∠= ,解得b =.在ACD 中,由余弦定理,2222cos CD AD b b AD CAD ∠=+-⋅⋅,解得CD =2a CD ==.【小问2详解】在ACD 中,由余弦定理,2222cos b AD CD AD CD CDA ∠=+-⋅⋅⋅,在ABD △中,由余弦定理,2222cos c AD BD AD BD BDA ∠=+-⋅⋅⋅,而1AD =,2aBD CD ==,180CDA BDA ∠∠+= ,所以22222122a b c AD +=+=,解得220a =.又1sin 22ABC S bc A ==△,得sin 4bc A =,在ABC V 中,由余弦定理,2222cos a b c bc A =+-,得cos 4=-bc A ,所以sin tan 1cos AA A==-,()0,πA ∈ ,则3π4A =.17.如图,在四棱锥P ABCD -中,底面ABCD 是边长为2的菱形,PAD △是正三角形,PB =面PAD ⊥平面ABCD ,点E 在棱PC 上.(1)若平面ADE 与棱PB 交于F 点,求证://EF 平面ABCD ;(2)若二面角E AD B --的余弦值为5,求直线AE 与平面ABCD 所成角的正弦值.【答案】(1)证明见解析(2)10【解析】【分析】(1)运用线面平行判断得到AD ∥平面PBC ,再用线面平行性质得到//AD EF ,进而得到线面平行;(2)建立空间直角坐标系,设PE tPC =,[]0,1t ∈,根据题意得到平面ADE 的法向量为()0,1,n t t =-,而平面ABCD 的法向量为(OP = ,运用向量夹角公式求出13t =.进而运用向量法求出直线AE 与平面ABCD 所成角的正弦值.【小问1详解】因为底面ABCD 是菱形,所以AD BC ∥,又⊂BC 平面PBC ,AD ⊄平面PBC ,则//AD 平面PBC .点E 在线段PC 上,平面ADE 与线段PB 交于F 点,所以平面ADE 平面PBC EF =,而AD ⊂平面ADE ,所以//AD EF .又AD ⊂平面ABCD ,EF ⊄平面ABCD ,所以//EF 平面ABCD .【小问2详解】取AD 的中点O ,连接OP ,OB,如图所示,由条件,PAD △是正三角形,2AD =,则OP AD ⊥,1OA =,OP =而平面PAD ⊥平面ABCD ,平面PAD ⋂平面ABCD AD =,OP ⊂平面PAD ,所以OP ⊥平面ABCD ,又OB ⊂平面ABCD ,则OB OP ⊥,而PB =OB =.在OAB △中,2AB =,结合勾股定理易得OB OA ⊥.以O 为原点,OA ,OB ,OP分别为x 轴,y 轴,z 轴的正方向建立空间直角坐标系,则0,0,0,1,0,0,()B,()C -,()1,0,0D -,(P ,设PE tPC =,[]0,1t ∈,则(()()2,1OE OP PE t t t=+=+-=--,所以点)()21E t t --,()2,0,0AD =-,)()21AE t t =--- ,设平面ADE 的法向量为(),,n x y z =,由())202110,n AD x n AE t x t z ⎧⋅=-=⎪⎨⋅=-+-=⎪⎩ 取z t =,则0x =,1y t =-,平面ADE 的法向量为()0,1,n t t =-,而平面ABCD的法向量为(OP = ,故cos<,5n OP n OP n OP⋅>==⋅,解得13t=(舍负),所以5,,333AE ⎛⎫=- ⎪ ⎪⎝⎭.设直线AE 与平面ABCD 所成角为θ,sin cos<,10OP AE OP AE OP AEθ⋅=>===⋅.18.已知椭圆C 的对称中心在坐标原点,以坐标轴为对称轴,且经过点)和2,3⎛- ⎝⎭.(1)求椭圆C 的标准方程;(2)过点()2,0M 作不与坐标轴平行的直线l 交曲线C 于A ,B 两点,过点A ,B 分别向x 轴作垂线,垂足分别为点D ,E ,直线AE 与直线BD 相交于P 点.①求证:点P 在定直线上;②求PAB 面积的最大值.【答案】(1)22162x y +=(2)①证明见解析;②4.【解析】【分析】(1)根据椭圆过两个点,求椭圆方程.(2)设出直线AB 的方程,与椭圆方程联立,利用一元二次方程根与系数的关系,得A ,B 点坐标的关系,进一步E ,D 的坐标,表示出直线AE 与直线BD 的方程,求其交点即可;再利用换元法,结合基本(均值)不等式可求PAB 面积的最大值.【小问1详解】设椭圆C 的方程为221(0,0,)mx ny m n m n +=>>≠,代入已知点的坐标,得:312413m n m n +=⎧⎪⎨+=⎪⎩,解得1612m n ⎧=⎪⎪⎨⎪=⎪⎩,所以椭圆C 的标准方程为22162x y +=.【小问2详解】如图:①设直线l 的方程为()20x my m =+≠,并记点1,1,2,2,0,0,由222,162x my x y =+⎧⎪⎨+=⎪⎩消去x ,得()223420m y my ++-=,易知()()222Δ16832410m m m =++=+>,则12243m y y m -+=+,12223y y m -=+.由条件,()1,0D x ,()2,0E x ,直线AE 的方程为()1212y y x x x x =--,直线BD 的方程为()2121y y x x x x =--,联立解得()()2112211212012121222223my y my y x y x y my y x y y y y y y ++++===+=+++,所以点P 在定直线3x =上.②02121211131222PAB S AD x x y x y my =⋅-=⋅-=⋅- 11212y my y =-而121212my y y y =+,所以()121212my y y y =+,则1211211224PAB y y S y y y +=-=-==,令t =,则1t >,所以21222224PAB t S t t t=⋅=≤⨯++△,当且仅当t =时,等号成立,所以PAB 面积的最大值为34.19.如果数列{}n a 的任意相邻三项1i a -,i a ,1i a +满足211(2,)i i i a a a i i -+≤≥∈N ,则称该数列为“凸数列”.(1)已知{}n a 是正项等比数列,{}n b 是等差数列,且111a b ==,3241a b b +=+,232a b +=.记nn nb c a =.①求数列{}n c 的前n 项和;②判断数列{}n c 是不是“凸数列”,并证明你的结论;(2)设n 项正数数列12,,,n a a a 是“凸数列”,求证:1112121111211n n n n i j i j i j i j a a a a n n n n --====⎛⎫⎛⎫⎛⎫⎛⎫≥ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪---⎝⎭⎝⎭⎝⎭⎝⎭∑∑∑,2n >其中,.n ∈N 【答案】(1)①()*113N 3n n n S n -+=-∈;②是“凸数列”,证明见解析;(2)证明见解析.【解析】【分析】(1)根据n c 的通项公式再应用错位相减即可求解;(2)应用数列新定义即可得证;(3)记121n S a a a -=+++ ,利用分析法,只需证()()200n n S a S a n a a ++≥,由数列为对数性凸数列,得到2110121n n n n a a a a a a a a ---≤≤≤ ,01122n n n a a a a a a --≤≤≤ ,再用基本不等式证明即可.【小问1详解】①设的公比为(0)q q >,的公差为d ,由题意可得2124,212,q d q d ⎧+=+⎨+=+⎩解得3q =或1q =-(舍去),2=d ,因此()1*3N n n a n -=∈,()*21N nbn n =-∈.故1213n n n c --=,从而123122135232113333n n n n n n n S c c c c c -----=+++++=+++++ ,(i )23111352321333333n n n n n S ---∴=+++++ ,(ii )(i )-(ii )得,2312111121221223333333n n n n n n S --+⎛⎫=+⨯++++-=- ⎪⎝⎭,即()*113N 3n n n S n -+=-∈.②由①,1213n n n c --=,所以22221122222123214434412133333i i i i i i i i i i i i i i i c c c -+-----+---+-⎛⎫=⋅=<== ⎪⎝⎭,故数列{}n c 是“凸数列”.【小问2详解】记12312n jn j aS a a a --===+++∑ ,则原不等式等价于()()()()211(1)2n n n S S a a n n S a S a -⋅++≥-++,即()2221(1)(1)n n S n S a a -⋅+-⋅+()()()()211222n n n n S n n S a a n n a a ≥-⋅+-⋅++-⋅,因而只需证明()()2112n n S S a a n n a a ++≥-⋅,因为()2*112,Ni i i a a a i i -+≤≥∈,所以123212321n n n n n n a a a a aa a a a a -----≤≤≤≤≤ ,故12132n n n a a a a a a --≤≤≤ ,而()()()()2312132231212n n n n n S a a a a a a a a a a a -----⎡⎤=+++=++++++++⎣⎦(2n ≥++- ,从而()()()2221111(2)222n n n n S S a a n a a n a a n n a a ++≥-⋅+-=-,即()()2112n n S S a a n n a a ++≥-⋅,结论得证.【点睛】方法点睛:解决数列新定义题型,需要耐心读题,分析新定义的特点,弄清新定义的性质,按照新定义的要求,结合所学习过的知识点,逐一分析、证明、求解.。
我国引进条斑星鲽群体遗传多样性的AFLP分析马洪雨1, 2,陈松林2,田永胜2,季相山2(1. 中国海洋大学海洋生命学院,山东青岛266003;2. 中国水产科学研究院黄海水产研究所,农业部海洋渔业资源可持续利用重点开放实验室,山东青岛266071)摘要:应用AFLP技术对我国条斑星鲽引进群体(烟台、大连和莱州)共63尾个体的遗传多样性及遗传变异进行分析,计算了3个群体间的遗传相似性指数和遗传距离,并构建了UPGMA系统发生树。
10个引物组合在3个群体中共扩增到827个位点,大小位于50~700bp之间。
每个引物组合扩增到的多态性条带在8到37条之间不等,平均为17.9个。
3个群体的多态性位点比例分别为29.14%、15.60%和20.31%;Shannon’s多样性指数分别为0.1799、0.0949和0.1231;Nei’s基因多样性指数分别为0.1225、0.0658和0.0848。
3个条斑星鲽引进群体的遗传多样性水平,烟台引进群体最高,莱州引进群体次之,大连引进群体最低,但总体水平均较低。
烟台引进群体与大连引进群体间的遗传距离最大为0.0230,莱州引进群体与大连引进群体间的遗传距离最小为0.0129。
3个引进群体间的遗传分化系数(Gst)为0.219,表明3个引进群体之间发生了一定程度的分化。
关键词:AFLP;条斑星鲽;遗传多样性;遗传分化中图分类号:Q958Genetic diversity of introduced Barfin flounder (Verasper moseri) populationsby AFLP analysisMA Hong-yu1,2, CHEN Song-lin2, TIAN Yong-sheng2, JI Xiang-shan2(1. College of Life Science and Technology, Ocean University of China, Qingdao, 266003;2. Key Laboratory for Sustainable Utilization of Marine Fisheries Resource, Ministry of Agriculture, Yellow Sea Fisheries Research Institute, Chinese Academy of Fishery Sciences, Qingdao, 266071)收稿日期:2007-06-10资助项目: 国家高技术研究发展计划(863)项目(2006AA10A403)资助作者简介: 马洪雨(1979-), 男, 山东招远人, 博士, 主要从事海洋生物技术研究. E-mail: mhyxl@通讯作者: 陈松林, 男, 研究员. E-mail: chensl@Abstract: Amplified fragment length polymorphism (AFLP) technology was used to evaluate the genetic diversity of three introduced populations (Yantai, Dalian and Laizhou) of introduced Barfin flounder (Verasper moseri). The genetic distances and identity indexes were calculated, and according to them, the UPGMA dendrogram was constructed. A total of 827 loci ranged from 50~700bp were detected using 10 primer combinations, and 8~37 polymorphic loci were detected per primer combination. The percentage of polymorphic loci of three introduced populations of Barfin flounder were 29.14%, 15.60% and 20.31%, respectively. The Shannon’s information index were 0.1799, 0.0949 and 0.1231, respectively, and the Nei’s gene diversity were 0.1225, 0.0658 and 0.0848, respectively. The total genetic diversity level of three introduced populations was low, of which YT introduced population was the highest, LZ introduced population was lower, and DL introduced population was the lowest. The genetic distance between YT introduced population and DL introduced population was the highest (0.0230), whereas, the genetic distance between LZ introduced population and DL introduced population was the lowest (0.0129). The coefficient of gene differentiation (Gst) value was 0.219, showing a certain extent of differentiation among three introduced populations of Barfin flounder.Key words: AFLP; Verasper moseri; genetic diversity; genetic differentiation条斑星鲽( Verasper moseri )俗称“花豹子”,属鲽形目(Pleuronectiformes)、鲽科(Pleuronectidae)、星鲽属(Verasper)。
BVX-203FG-BVX FM-BVX.FM-BVX200.BVX-201-KIT. 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efficiency of 99.97% at 0.3 micron, plus an activated carbon filter to remove additional gases.For applications that require a high capacity of gas filtration, such as cleaning with solvents or conformal coatings, the BVX-203 Fume Extraction System features a deep-bed gas filter.3BVX-201-KIT BVX-201 BVX-203FP-BVX200 FM-BVX200 FG-BVX200BVX-ARM-K1BVX-ARMBVX-ARMLBVX-TB01BVX-CH01BVX-CH02Filter unit with 2 flexible arms, 1.2m long, Pre-HEP A-GasFilter unit for 2 stations, Pre-HEP A-GasFilter unit for 2 stations, Pre-Deep Bed GasPre Filter (Pack of 5)Main Filter HEP A CarbonDeep Bed Gas Filter1 BVX arm 710mm (28") long with 1.8m (6') long hose andtable bracket with C-clampsArm flexible ESD safe, 710mm (28") longArm flexible ESD safe, 1.2m (48") longTable bracket with 2 C-clampsConnection hose, 50mm (2") diameter, 1.8m (6') longConnection hose, 50mm (2") diameter, 3.6m (12') longFILTERSACCESSORIESBVX-100 SeriesBVX-101BVX-103BVX-101-SBVX-103-SFG-BVXFM-BVXFP-BVXBVX-ADTBVX-IADTBVX-BCKBench-T op, single user arm/plenum system,Pre-HEP A-Gas, 100-240VACBench-T op, single user arm/plenum system,Pre-Gas, 100-240VACBench-T op, single user plenum system without arm,Pre-HEP A-Gas, 100-240VACBench-T op, single user plenum system without arm,Pre-Gas, 100-240VACDeep Bed Gas FilterMain Filter (Combined HEP A/Gas)Pre-Filter (Pack of 5)Replacement Arm-T o-Plenum AdaptorInverted Arm Adaptor, ESD SafeUnder Bench Mounting BracketFILTERSACCESSORIESBVX-200 SeriesBVX-100 Series BVX-200 SeriesStatic Pressure (suction force)1250 Pa (5"WC)850 Pa (3.5"WC)Fan Capacity110m/h (65 cfm)250m/h (150 cfm)Flow Rate (with filter)85m/h (50 cfm) 2 x 75m/h (45 cfm)Air Inlets/Number of Stations12HEP A Efficiency99.97% at 0.3 micron99.97% at 0.3 micronNoise Level< 55 db A< 55 db ADimensions(W x D x H) 300mmx230mmx290mm (11.8" x 9.1" x 11.4")508mmx 254mmx388mm (20" x 10" x 15.3") Weight9kg (20 lbs)9kg (20 Ibs)Voltage100-240VAC100-240VACFrequency50-60 Hz50-60 HzPower85 watt85 wattCertification UL, CSA, CE UL, CSA, CE3333Technical SpecificationsSetting a New Benchmark In PerformanceOK International's multi-user MFX-2200 Series Fume Extraction Systems set a new benchmark in performance,delivering a maximum airflow of 900m /h and a maximum suction force of 1,075 Pa.Capable of providing filtration for up to eight manual assembly workstations, the MFX-2200 Series Fume Extraction Systems' power can also be harnessed to remove particulates and gases from exhaust cabinets and even small bench-top wave and reflow soldering ovens.For general electronics assembly applications, a combined filtration model features pre, HEPA (99.97% efficient @0.3µm) and gas filters.For more specific applications, such as removing solvent vapors from bonding and under-fill operations, a gas filtration model is available featuring a pre-filter and 11kg high capacity activated carbon cartridge.Measuring 450mm wide, by 525mm deep and 670mm tall, the unit can accept either a 457mm by 406mm by 120mm HEP A filter or the activated carbon filter.Due to the size of the filter, the MFX-2200 Series Fume Extraction Systems can process more fumes for substantially longer periods before requiring a filter change, thereby reducing maintenance costs and workplace disruption.3FeaturesControls and Filter MonitorOptions•Excellent air flow performance •Large, pleated pre-filter•HEPA filter rating of 99.97% at 0.3 micron •Casters as standard•Dust filter seal keeps filter housing clean •Minimum operating noise•Compact size, unit fits under most workbenches •Connects up to 4 Omniflex arms with rectangular nozzle (EA1122) or large hood (EA1126)•Connects up to 8 BVX arms or 8 Omniflex arms with tapered nozzle (EA1124)•Unit On/Off Switch with power indicator light •Thermal overload protection•Analog models with filter status gauge•Digital models with filter status indicator lights and other control optionsTop Cover with 2 Air Inlets Ø100mm (4")and 2 Air Inlets Ø63mm (2.5")AC2204Technical SpecificationsAir Inlet Openings 4 x Ø2.5" 4 x Ø63mm Fan Capacity 600 cfm 900m /h Flow Rate 400 cfm600m /hHEPA Efficiency 99.97% at 0.3 micron 99.97% at 0.3 micron Static Pressure 4.5"WC Maximum 1075 PaPower Supply 100-120VAC, 60Hz 220-240VAC, 50Hz Power 400Watt 400Watt Noise Level58 dBA58 dBADimension (W x D x H)17.7" x 20.75" x 26.4"450 x 525 x 670mm Weight 93 Ibs 43 kg CertificationUL, CSACEMFX-2200C-A (Analog)MFX-2206C-A (Analog)MFX-2200C-D (Digital)MFX-2206C-D (Digital)110V230V33OK International's new multi-user MFX-2200C Fume Extraction System provides the ultimate performance in a compact size that easily fits under most workbenches.It is ideal for removing solder fumes and filtering laser fumes.The lid features 4 air inlet ports for connection to Omniflex arms.By using a hose splitter in conjunction with BVX arms, the number of connected arms can be doubled.HEP Replacement FiltersFIL22P030FIL22H070Prefilter Pleated 60% Efficiency (Pack of 2)Combination Filter HEP A/CarbonMFX-2200C Particle Fume Extraction SystemFeaturesControls and Filter MonitorOptions•Excellent filtration efficiency •Large, pleated pre-filter •Casters as standard •Minimum operating noise•Provides air flow for two exhaust cabinets•Unit On/Off Switch with power indicator light •Thermal overload protection•Analog models with filter status gauge•Digital models with filter status indicator lights and other control optionsTop Cover with 4 Air Inlets Ø63mm (2.5")AC2202Technical SpecificationsAir Inlet Openings 2 x Ø4" and 2 x Ø2.5" 2 x Ø100mm and 2 x Ø63mm Fan Capacity 600 cfm 900m /h Flow Rate 350 cfm550m /hStatic Pressure 4.5"WC Maximum 1075 Pa Maximum Power Supply 100-120VAC, 60Hz 220-240VAC, 50Hz Power 400Watt 400Watt Noise Level58 dBA58 dBADimension (W x D x H)17.7" x 20.75" x 28"450 x 525 x 710mm Weight 115 Ibs 52 kg CertificationUL, CSACEMFX-2200G-A (Analog)MFX-2206G-A (Analog)MFX-2200G-D (Digital)MFX-2206G-D (Digital)110V230V33The new MFX-2200G Fume Extraction System has been specifically designed for the removal of gases and vapors from a range of heavy duty bench-top applications, including solvent cleaning, gluing/bonding and conformal coatings.The unit's high capacity gas filter cartridge ensures a long dwell-time of the gases inside the filter media, resulting in the most efficient removal of gases.The unit's lid features 100mm (4”) and 63mm (2.5”) air inlet flanges, making it suitable for the connection of exhaust arms or cabinets.After-FilterReplacement FiltersFIL22P040FIL22G010FIL22G020Pre-Filter Pleated 85% Efficiency Gas Filter Cartridge 11kg (25Ibs)Carbon Refill Kit 11kg (25Ibs)MFX-2200G Gas Fume Filtration SystemOmniflex ArmsOmniflex Arms (Ø63mm) are designed for higher airflow rates and effective fume capture from greater distances. A unique ball/socket design provides an unmatched flexibility in maneuvering and positioning. The arms can be adjusted in working length or radius, simply by adding or removing Omniflex components. ESD conformance is ensured through the use of fullyconductive material.Features•140m/h (85cfm) air flow rating (varies with nozzle)•63mm (2.5") diameter•0.6m (24") long with optional extensions of 300mm (12")3Part NumbersA Omniflex Arm ESD with Rectangular NozzleB Omniflex Arm ESD with Tapered NozzleC Omniflex Arm ESD with Large Hood350 x 212mm (14" x 8.5")D Damper for Omniflex ArmOmniflex Arm Extension 300mm (12”) longEA1122EA1124EA1126AC1101AC1102All Omniflex arms are supplied with mounting plates and C-clamps.AB C DBVX ArmsBVX Arms (Ø50mm) are the most economicsolution while providing good airflow rates andhigh flexibility. The spiral rolled duct can betightened in stiffness and can be positionedprecisely. The BVX Arm-K2 kit includes a mountingplate and C-clamps for universal mounting. AY-connection piece is available to connect twoBVX Arms to one hose.Features for BVX Arms •75m /h (45cfm) air flow rating•50mm (2") ducting with 40mm (1.75") nozzle •710mm (28") long3EC1500 Exhaust CabinetFeaturesPart NumbersVolatile vapors and gases with high toxic levels often require the use of exhaust cabinets to protect the user.The EC1500 is an ideal bench cabinet for such applications.A hinged and clear viewing panelmaintains excellent visibility while at the same time reducing the airflow demand on the cabinet.•Dimensions W x D x H760 x 510 x 560mm (30" x 20" x 22")•Connection Flange Ø100mm (4")Exhaust Cabinet with Clear Viewing Panel Connection Hose 2.5m (8') Long Ø100mm(4") with ClampsEC1500CH0047Part Numbers for BVX ArmsBVX-ARM-K2BVX Arm ESD with Nozzle, MountingPlate and C-ClampsFor Individual Components Refer T o BVX SectionA CH0251A CH0252A CH0253B AC2025Connection Hose 2.5m x Ø63mm (8' x 2.5") with clamps Connection Hose 3.5m x Ø63mm (12' x 2.5") with clampsConnection Hose 7.5m x Ø63mm (25' x 2.5") with clamps Y -Piece for Ø63mm (2.5") hose with clampsBAConnection Hoses for Omniflex and BVX ArmsPrecision and Power In Tip ExtractionDue to its powerful vacuum, OK International’s BTX-208 Fume Extraction System offers high performance extraction of solder fumes directly from the tip of any hand soldering iron and can be easily configured to form an extraction network for up to eight workstations.The unit's pre-filter is followed by a main filter offering HEP A efficiency exceeding 99.97% and an activated carbon filter to remove gases.Both pre- and main- filters can be changed independently to maximize the working life of each filter and lower the total cost of ownership.Measuring 508mm wide by 254mm deep by 388mm high and weighing just 9kg, the BTX-208 Fume Extraction System has been designed specifically for under-bench installation.With a universal power supply that accepts 100 to 240V at 50 or 60Hz, and with UL, CSA and CE certifications, the unit can be used anywhere in the world.T o complement the BTX-208 Fume Extraction System, Metcal has developed a new plug-and-play ductingsystem, which offers a simple, flexible, low cost solution for faster configuration of tip extraction installations.Portable for up to Eight OperatorsThe BTX-208 Fume Extraction System is a tip extraction unit with a high vacuum blower motor and a capacity for up to eight workstations.The unit's universal hose connection kit provides maximum flexibility and eliminates the need for a traditional layout and design of tip extraction ducting.The compact design and easy set-up make it truly portable.BTX-208 Tip Extraction Duct LayoutBTX-CK2-252 Couplings/2.5m Hose318566S-5End Plug (Pack of 5)4AC-TX002-2T -Piece Connector (Pack of 2)-19115S-10Pipe Clip (Pack of 10)Connection KitsItemDescriptionBTX-CK2-25BTX-CK4-50BTX-CK4-75Qty Qty Qty Max number of stations single-row bench 244when using 5.6mm tubesdouble-row bench4881Flexible Hose Ø32mm (1.25”) 2.5m (8')5.0m (16')7.5m (25')2Coupling with 2 Glands 5.6mm 2443End Plug1224T -piece Connector 011-Pipe Clip 255-Roll of Vinyl T ape111123to Solder IronTechnical SpecificationsBTX-208Max.Number of Stations8Flow Rate per Station>28 l/minNoise Level<55 dBADimensions508 x 254 x 388mmW x D x H(20" x 10" x 15.3")Weight9 kg (20 Ibs)Voltage100 - 240VACFrequency50 - 60 HzPower85WattMax Duct Run30m (100 ft)Certification UL/CSA/CEKit Part#Description Replacement Tubes (5) Part # A Macro Adapter Kit for Weller / Pace IR-70 (stand not included)Weller Replacement Spring and Receptacle OnlyWeller Micro Iron Adapter Kit EC-1302AHakko Micro Iron Adapter Kit (900S)Hakko 5.6mm Macro Iron Adapter Kit (900M/900L)B Metcal STSS/MX/RM3E/ - Hakko 907/936/937 Adapter Kit - 5.6mmB Metcal SP-HC1 (SP200 Base) Iron Adapter Kit - 5.6mmB OK International* PS-800 Iron Adapter Kit 5.6mmReplacement Metcal Stand Insert for DS03-930Universal Iron Adapter Kit fits 6.4mm Heating Element w/5.6mm TubeC Plastic Clip for Metcal MX (5 per pack)C Plastic Clip for Metcal SP (5 per pack)C Plastic Clip for OK International* PS-800 (5 per pack)Brush Brass for tip ext tube (5 per pack)Spring Strain Relief for 5.6mm (10 per pack)DS03-90217235S-5 DS03-902S N/A DS03-95117235S-5 DS03-92617235S-5 DS03-92717235S-5 DS03-92920233S-5 DS03-93020233S-5 DS03-93120233S-5 SP-Cradle N/A DS03-95517235S-5 18863S-5N/A 18864S-5N/A 18865S-5N/A DS03-910-5N/A DSO3-965-10N/A Tip Extraction Iron Adapter KitA B CSystemBTX-208CONNECTION KITSREPLACEMENT FILTERSFilter Unit for 8Tip Extraction Stations, Pre/HEP A/GasBTX-CK2-25Connection Kit for 2-4 Stations with2.5m (8') Long HoseBTX-CK4-50Connection Kit for 4-8 Stations with5m (16') Long HoseBTX-CK4-75Connection Kit for 4-8 Stations with7.5m (25') Long HoseFor other part numbers refer to layout detailsFP-BVX200Pre-Filter (Pack of 5)FM-BVX200Main Filter, HEP A 99.95%/Carbon*Previously branded MetcalOK International provides solution based technologies to electronics manufacturing industries throughout the world.Through our sales, service and distribution centers located in North America, Europe and Asia we are able to provide seamless, proactive expertise and support to our customers worldwide.Wherever industrial manufacturing facilities are located, OK International's global network of expertly traineddistributors is there, to supply essential technical support and advanced process solutions.NORTH AMERICA GERMANYUNITED KINGDOM ITALYFRANCESINGAPORE JAPANCHINAOK International12151 Monarch Street Garden Grove,California 92841USAT el: +1-714-799-9910Fax: +1-714-799-9533OK International GmbH Frankfurter Straße 7464521 Gross-Gerau GermanyT el: +49 (0) 61 52-71 12-0Fax: +49 (0) 61 52-71 12-22OK International Ltd.Eagle Close, Chandlers Ford Eastleigh, Hampshire SO53 4NF United KingdomTel: +44 (0) 2380 489100Fax: +44 (0) 2380 489109OK InternationalStrada Statale 11 – No 2820010 Vittuone, Milano ItalyTel: +39 02 902 5161Fax: +39 02 901 11147OK International SAS Rue de la SaoneZac de Folliouses-les Echets 01706 Miribel Cedex FranceTel: +33 (0)4 72 26 20 30Fax: +33 (0)4 72 26 20 35OK International10 Ang Mo Kio St. 65#05-13 T echpoint Singapore 569059Tel: +65-62810991Fax: +65-62853473OK International Japan Co.5-3-1 Heiwajima, Ota-ku Tokyo 143-0006JapanTel: +81-3-5753-0085Fax: +81-3-3765-8855OK Electronics (Beijing) Co.,Ltd.No. 1 Building,A -10 Long Qing Street Beijing Economic &Technical Developing Zone Beijing, 100176The People's Republic of China Tel: +86-10-67878490Fax: +86-10-67878491North America12151 Monarch Street • Garden Grove, California 92841 USAT el:1-714-799-9910 • Fax:1-714-799-9533++BRO-FE-US-05© 2005 Delaware Capital Formation, Inc. All rights reservedDOVER and the Dover logo are registered trademarks of Delaware Formation, Inc. a wholly-owned subsidiary of Dover CorporationO KI N T E R N A T I O N A LOKBVX-203FG-BVX FM-BVX.FM-BVX200.BVX-201-KIT. BVX-201.BVX-ARM-K1.FP-BVX.FP-BVX200.。
历年mcm数学建模赛题目录MCM85问题-A 动物群体的管理 (3)MCM85问题-B 战购物资储备的管理 (3)MCM86问题-A 水道测量数据 (4)MCM86问题-B 应急设施的位置 (4)MCM87问题-A 盐的存贮 (4)MCM87问题-B 停车场 (5)MCM88问题-A 确定毒品走私船的位置 (5)MCM88问题-B 两辆铁路平板车的装货问题 (5)MCM89问题-A 蠓的分类 (5)MCM89问题-B 飞机排队 (6)MCM90-A 药物在脑内的分布 (6)MCM90问题-B 扫雪问题 (6)MCM91问题-B 通讯网络的极小生成树 (6)MCM 91问题-A 估计水塔的水流量 (7)MCM92问题-A 空中交通控制雷达的功率问题 (7)MCM 92问题-B 应急电力修复系统的修复计划 (7)MCM93问题-A 加速餐厅剩菜堆肥的生成 (7)MCM93问题-B 倒煤台的操作方案 (8)MCM94问题-A 住宅的保温 (8)MCM 94问题-B 计算机网络的最短传输时间 (9)MCM-95问题-A 单一螺旋线 (9)MCM95题-B A1uacha Balaclava学院 (10)MCM96问题-A 噪音场中潜艇的探测 (10)MCM96问题-B 竞赛评判问题 (10)MCM97问题-A Velociraptor(疾走龙属)问题 (11)MCM97问题-B为取得富有成果的讨论怎样搭配与会成员 (11)MCM98问题-A 磁共振成像扫描仪 (12)MCM98问题-B 成绩给分的通胀 (13)MCM99问题-A 大碰撞 (13)MCM99问题-B “非法”聚会 (13)MCM2000问题-A空间交通管制 (13)MCM2000问题-B: 无线电信道分配 (14)MCM2001问题- A: 选择自行车车轮 (14)MCM2001问题-B 逃避飓风怒吼(一场恶风...) .. (15)MCM2001问题-C我们的水系-不确定的前景 (15)MCM2002问题-A风和喷水池 (15)MCM2002问题-B航空公司超员订票 (16)MCM2002问题-C (16)MCM2003问题-A: 特技演员 (17)MCM2003问题-B: Gamma刀治疗方案 (18)MCM2003问题-C航空行李的扫描对策 (18)MCM2004问题-A:指纹是独一无二的吗? (18)MCM2004问题-B:更快的快通系统 (18)MCM2004问题-C安全与否? (19)MCM2005问题A.水灾计划 (19)MCM2005B.Tollbooths (19)MCM2005问题C:不可再生的资源 (20)MCM2006问题A: 用于灌溉的自动洒水器的安置和移动调度 (20)MCM2006问题B: 通过机场的轮椅 (20)MCM2006问题C : 抗击艾滋病的协调 (21)MCM2008问题A:给大陆洗个澡 (23)MCM2008问题B:建立数独拼图游戏 (23)MCM85问题-A 动物群体的管理在一个资源有限,即有限的食物、空间、水等等的环境里发现天然存在的动物群体。
四川省成都市石室中学2024-2025学年高三上学期开学定时练习数学试题一、单选题1.已知集合(){|ln 5,N}A x y x x ==-∈,{|e }x B y y ==,则A B ⋂的子集个数为( ) A .4B .14C .15D .162.“3m =-”是“直线()1:1210l m x y +++=与直线2:310l x my ++=平行”的( ) A .充要条件 B .必要不充分条件 C .充分不必要条件 D .既不充分也不必要条件3.四川省将从2022年秋季入学的高一年级学生开始实行高考综合改革,高考采用“3+1+2”模式,其中“1”为首选科目,即物理与历史二选一.某校为了解学生的首选意愿,对部分高一学生进行了抽样调查,制作出如下两个等高条形图,根据条形图信息,下列结论正确的是( )A .样本中选择物理意愿的男生人数少于选择历史意愿的女生人数B .样本中女生选择历史意愿的人数多于男生选择历史意愿的人数C .样本中选择物理学科的人数较多D .样本中男生人数少于女生人数4.已知{}n a 为等比数列,23746a a a a a =,91027a a =-,则7a =( ) A .3B .2C .2-D .3-5.已知函数()ln f x x =的图像与直线1y ax =+相切,则a 的值为( ) A .1eB .21e C .e D .2e6.已知M ,N 分别是正四面体ABCD 中棱AD ,BC 的中点,若点E 是棱CD 的中点.则MN 与AE 所成角的余弦值为( )A .BC .D 7.若12sin 33a =+,11cos 318b =+,则( )A .1a b >>B .1a b >>C .1b a >>D .1b a >>8.若直线1l 和直线2l 相交于一点,将直线1l 绕该点按逆时针旋方向转到与2l 第一次重合时所转的角为θ,则角θ就叫做1l 到2l 的角,2112tan 1k k k k θ-=+,其中12,k k 分别是12,l l 的斜率,若双曲线E :22221(0,0)x y a b a b -=>>的右焦点为F ,A 是右顶点,P 是直线2a x c =上的一点,e是双曲线的离心率,APF θ∠=,则tan θ的最大值为( ) AB CD二、多选题9.下列命题中,正确的是( )A .已知随机变量X 服从正态分布()22,N σ,若()00.3P X ≤=,则(4)0.3P X <=B .用X 表示n 次伯努利试验中事件A 发生的次数,p 为每次试验中事件A 发生的概率,若()150E X =,()50D X =,则23p =C .分别抛掷两枚质地均匀的硬币,设A =“第一枚正面朝上”,B =“第二枚反面朝上”,则有:()()P BA PB =∣ D .已知随机变量X 的分布列为()()()1,2,3,,1001aP X i i i i ===+L ,则101100a = 10.设函数()3231f x ax x =-+,则( )A .当0a <时,0x =是()f x 的极小值点B .当02a <<时,()f x 有三个零点C .当1a =时,若()f x 在()1,m -上有最大值,则0m >D .若()f x 满足()()22f x f x +-=-,则1a =11.已知{}n a 满足11a =,()221110n n n n a n a a na ++---=,记{}1n na +的前n 项和为n T ,{}n T 的前n 项和为n S ,则下列说法中不一定正确的是( )A .1n n a a +⎧⎫⎨⎬⎩⎭是等比数列B .{}n a 的通项公式为()1!n a n =-或()11n n a -=-C .若0n a >,则()1!1n T n =+-D .若10n n a a +<,则2n S 为定值三、填空题12.若 ()554325432102x a x a x a x a x a x a +=+++++,则531420a a a a a a ++=++.13.学校从高一、高二、高三中各选派10名同学参加“建党100周年党史宣讲”系列报告会,其中三个年级参会同学中女生人数分别为5、6、7,学习后学校随机选取一名同学汇报学习心得,结果选出一名女同学,则该名女同学来自高三年级的概率为.14.已知不等式e e x x x ax b -≥+对任意R x ∈恒成立,则当ba取最大值时,a =.四、解答题15.已知集合{|3217}A x x =-<+<,4|02x B x x +⎧⎫=⎨⎬-⎩⎭>,{|321}C x a x a =-≤≤+. (1)求()R A B I ð;(2)若“()R :p x A B ÎU ð”是“:q x C ∈”的充分不必要条件,求实数a 的取值范围. 16.如图,在四棱锥P ABCD -中,底面是边长为2的菱形,π3ABC ∠=,H 为BC的中点,PA PB PH ==E 为PD 上的一点,已知4PD PE =.(1)证明:平面PAB ⊥平面ABCD ; (2)求平面EAC 与平面PAB 夹角的余弦值.17.为了了解高中学生课后自主学习数学时间(x 分钟/每天)和他们的数学成绩(y 分)的关系,某实验小组做了调查,得到一些数据(表一).(1)请利用散点图说明该组数据中y 与x 之间的关系可用线性回归模型进行拟合,并求出y 关于x 的回归直线方程,并由此预测每天课后自主学习数学时间为100分钟时的数学成绩; (参考数据:5221155122820,435,38999,107.411540i i i i i i i x y y y ===∑=∑=∑=≈,i x 的方差为200)(2)基于上述调查,某校提倡学生周末在校自主学习.经过一学期的实施后,抽样调查了220位学生.按照是否参与周末在校自主学习及成绩是否有进步统计,得到22⨯列联表(表二).依据表中数据及小概率值0.001α=的独立性检验,分析“周末在校自主学习与成绩进步”是否有关.附:方差:()2211i n i S x x n ==∑-,回归方程$y bx a =+中斜率和截距的最小二乘估计公式分别为()()()121niii nii x x y y bx x ==--=-∑∑$,$ay bx =-$,22()()()()()n adbc a b c d a c b d χ-=++++.18.经过圆22:5O x y +=上一动点P 作椭圆22:14x C y +=的两条切线,切点分别记为,A B ,直线,PA PB 分别与圆O 相交于异于点P 的,M N 两点.(1)求证:0OM ON +=u u u u r u u u r r; (2)求OAB V 的面积的取值范围.(参考结论:点00P x y (,)是椭圆222210x y a b a b+=>>()外一点,过P 作该椭圆的两条切线,切点为A,B ,则直线AB 的方程为00221x x y ya b+=.) 19.已知函数()213ln 044f x a x x x a =+-+>() (1)判断f x 的单调性;(2)若f x 有且仅有一个零点,求a 的取值范围;(3)若a 取第(2)问所求范围的最小值,且数列 a n 满足,12a =,15144n n n n f a a a a ++-=(),求证:*N n ∀∈,1413nk k a =-<∑.。
MONITOR APF后台通信协议V1.10 第1页共41 页MONITOR APF后台通讯协议(电总)修改记录目次1范围................................................................................................... 错误!未定义书签。
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ToyoTa Tundra (00-06)985-02-005 - 2.0 Performance Series IFP Coil-Over 883-02-026 - 2.5 IFP Coil-Over Kit883-02-027 - 2.5 IFP Coil-Over Long Travel Kit 880-02-419 - 2.5 Reservoir Coil-Over Kit880-02-420 - 2.5 Reservoir coil-over Long Travel KitdIReCT-RePLaCemenTcoil-over shocks InSTaLLaTIOn guIdeThank you for choosing FOX direct-replacement, coil-over shocks for your vehicle. FOX products are designed, tested, and manufactured by the finest professionals in the industry.FOX recommends that you become completely familiar with the handling characteristics of your modified vehicle before operating it under rigorous conditions, helping to avoid potential rollover situations and other loss ofcontrol events. FOX further recommends that you use appropriate protective equipment at all times when operating your vehicle.To achieve the best performance and product longevity, periodic service and maintenance is required. Please refer to the Service and upgrades section for more information.insTallaTion guideTundra (00-06)2.0 Performance Series IFP coil-over 985-02-0052.5 IFP coil-over Kit 883-02-0262.5 IFP coil-over Long Travel Kit 883-02-027*2.5 Reservoir coil-over Kit 880-02-4192.5 Reservoir coil-over Long Travel Kit 880-02-420**FOX’s Long Travel kits muST be used with aftermarket upper control arms (“uCa”). Please refer to the uCa manufacturer for uCa installation.warnings• FOX direct-replacement, coil-over shocks should always be installed as a pair for maximum performance.• Proper installation and serviceprocedures are essential for the safe and reliable installation of chassis parts, requiring the experience and tools specially designed for thispurpose. Installation and maintenance procedures for this product must be performed by a qualified service technician, to avoid potentially unsafe vehicle handling characteristics, which may result in SeRIOuS InJuRY or deaTH.• modifying your vehicle’s suspension will change the handling characteristics of your vehicle. under certain conditions, your modified vehicle may be moresusceptible to loss of control or rollover, which can result in SeRIOuS InJuRY or deaTH. Thoroughly familiarize yourself with the modified vehicle handling characteristics before any rigorous vehicle operation. Wear body protective gear includinghead protection when appropriate.Installation of vehicle roll bars or cage is highly recommended.• FOX direct-replacement, coil-over remote reservoir shocks are gas-charged and are highly pressurized. Placing shocks in a vise or clamp, applying heat, or attempting to open or service the shock without the proper tools and training can result in SeRIOuS InJuRY or deaTH. do not attempt to modify, puncture or incinerate a FOX direct-replacement, coil-over shock absorber.• any attempt to misuse, misapply, modify, or tamper with any FOXproduct voids any warranty and may result in SeRIOuS InJuRY or deaTH.guidelines• always use a chassis lift for theinstallation of shocks, and make certain that the raised vehicle is securely attached to the lift to prevent thevehicle from slipping, falling, or moving during the installation process.• dO nOT install any FOX product without the necessary special tools, expertise and chassis lift, or you will subject yourself to the risk of SeRIOuSInJuRY or deaTH. If you elect tonot use a chassis lift (which election may result in SeRIOuS InJuRY or deaTH), ensure that the vehicle ison level ground, that all tires on the ground during installation are blocked to prevent vehicle movement, that at least two tires are on the ground at all times, and that adequately secured jack stands are used to support the vehicle. neVeR get under the vehicle until you have checked to ensure that the vehicle will be stable during installation.• FOX direct-replacement, coil-over shocks are designed to fit your vehicle’s shock mounts with no modifications with the exception of reservoir placement on specific models and applications insTrucTionsmedium-strength thread-lock (blue Loctite) isrecommended on all bolts.1. Please read the installation guidelinesfor instructions on how to properly liftand secure the vehicle.2. Record the front vehicle ride heightto ensure proper lift is attained afterkit is installed. You will be able tomake preload adjustments if neededonce the shock assembly is installed.(Spanner wrench required)3. Remove both front wheels.4. disconnect the sway bar from lowercontrol arms.5. Remove the (3) top nuts (Fig. 1) thatsecure the stock shock assembly tothe vehicle. dO nOT remove centernut; doing so will release the springfrom the stock assembly and couldresult in SeRIOuS InJuRY or deaTH!6. Remove the (1) bolt connecting theshock to the lower control arm. (donot discard bolt and nut, as it will beused with your new FOX coil-overassembly).7. Remove the stock shock assembly.You may need to use a pry bar topull on the upper control arm andlower the suspension to allow theremoval and installation of your shockassembly. Be careful not to damageany brake lines or electrical wires.8. Install the new coil-over assembly.With remote reservoir models makesure that the hoses are facing outwardand towards the front of the vehicle(Fig. 2). Connect the top shock hatto the vehicle using the bolts andwashers provided or with PerformanceSeries models connect the top shockhat to the vehicle using the nutsprovided. Tighten all three bolts ornuts to 24 ft* lbs.9. Connect the shock to the lowercontrol arm with the longer spacertowards the rear of the vehicle,reusing the stock bolt and nut. Torqueto factory specifications.10. On external reservoir models installthe reservoir bracket between thevehicle tow hooks and frame, reusingthe (2) stock bolts (Fig. 3 & 4).Fig. 1Fig. 2: driver side11. On external reservoir models, installthe reservoir onto the reservoirbracket with the supplied hose clamps.12. Reconnect the sway bar to lowercontrol arms. Torque to factory specifications.13. Check that the suspension has properclearance by steering completely in both directions.14. Reinstall both front wheels and torqueto factory specifications.15. Set the vehicle back on the groundand drive it back and forth several feet to allow the suspension to settle. now measure the new ride height and make adjustments if necessary. To adjust the ride height, first lift the vehicle (refer to the InSTaLLaTIOn guIdeLIneS for instructions on how to properly lift the vehicle). after properly lifted, loosen the top lock ring, and adjust the main spring retainer. Once your height is set, retighten the top lock ring against the main spring retainer. 16. It is highly recommended that youhave your wheel alignment checked.Fig. 3: driver sideFig. 4: Passenger sidefox limiTed warranTyFOX Factory, Inc., a California corporation having offices at 130 Hangar Way,Watsonville, Ca 95076 (“FOX”), makes the following LImITed WaRRanTY with respect to its suspension products:LImITed One (1) YeaR WaRRanTY On SuSPenSIOn PROduCTSSubject to the limitations, terms and conditions hereof, FOX warrants, to the original retail owner of each new FOX suspension product, that the FOX suspension product, when new, is free from defects in materials andworkmanship. unless otherwise required by law, this warranty expires one (1) year from the date of the original FOX suspension product retail purchase from an authorized FOX dealer or from a FOX authorized Original equipment manufacturer where FOX suspension is included as original equipment on a purchased vehicle. If law requires awarranty duration of greater than one (1) year, then, subject to the other provisions hereof, this warranty will expire at the end of the minimum warranty period required by such law.Terms of warranTyThis warranty is conditioned on the FOX suspension product being operated under normal conditions and properly maintained as specified by FOX. This warranty is only applicable to FOX suspensions purchased new from an authorized FOX source and is made only to the original retail owner of the new FOX suspension product and is not transferable to subsequent owners. This warranty is void if the FOX suspension product is subjected to abuse, neglect, improper or unauthorized repair, improper or unauthorized service or maintenance, alteration, modification, accident or other abnormal, excessive, or improper use.Should it be determined by FOX in its sole and final discretion, that a FOX suspension product is covered by this warranty, it will be repaired or replaced, by a comparable model, at FOX’s sole option, which will be conclusive and binding. THIS IS THe eXCLuSIVe RemedY undeR THIS WaRRanTY. anY and aLL OTHeR RemedIeS and damageS THaT maY OTHeRWISe Be aPPLICaBLe aRe eXCLuded, InCLudIng, BuT nOT LImITed TO,15InCIdenTaL OR COnSeQuenTIaL damageS OR PunaTIVe damageS.This limited warranty does not apply to normal wear and tear, malfunctions or failures that result from abuse, improper assembly, neglect, alteration, improper maintenance, crash, misuse or collision. This limited warranty gives the consumer specific legal rights. The consumer may also have other legal rights which vary from state to state or country to country. Some states and countries do not allow the exclusion or limitation of incidental or consequential damages or warranties, and if dictated by law the above limitations or exclusions may not apply to you. If it is determined by a court of competent jurisdiction that a certain provision of this limited warranty does not apply, such determination shall not affect any other provision of this limited warranty and all other provisions shall remain in full effect.THIS IS THe OnLY WaRRanTYmade BY FOX On ITS SuSPenSIOn PROduCTS and COmPOnenTS, and THeRe aRe nO WaRRanTIeS WHICH eXTend BeYOnd THe deSCRIPTIOn HeReIn. anY WaRRanTIeS THaT maY OTHeRWISe Be ImPLIed BY LaW InCLudIng, BuT nOT LImITed TO, anY ImPLIed WaRRanTY OFmeRCHanTaBILITY OR FITneSS FOR a PaRTICuLaR PuRPOSe aRe eXCLuded.race Performance for your daily driverHeat-Reducing design» Cold-forged, metal-impacted 6061 T6 aluminum shock body dissipates heat three times faster than aconventional steel body shock. The 2.0 Performance Series shock runs as cool as a 2.5 diameter shock on the same application.» FOX formulated race shock oildeveloped for ultimate performance at variable temperatures.2.0 Performance SerieS ifP Shockapplication- specific ValVing» during development we rigorously tested to maximize offroad performance by utilizing the same proprietary deburred valve shims and high-flow piston design that is found in FOX race products.tougH finisH» CnC machined aluminum components are Type II hard anodized to a scratch- and fade-free black finish.» Heavy-duty 5/8" chrome shafts are induction case hardened to over 55Rockwell C, virtually eliminating scratches caused by roost and debris.fade-fRee peRfoRmance» The Internal Floating Piston (IFP) design separates shock oil from the high-pressure nitrogen charged gas chamber, eliminating oil aeration and cavatation, whileproviding a predictable ride — capable of handling the roughest conditions with fade-free performance.Replace youR stock sHocks witH Race-winning tecHnologyvisiT /ToyoTa To find fox offerings for your ToyoTa Truck 750 vernon way suite 101. el cajon, ca 92020 usa 1.800.fox.sHox(369.7469)*********************************1 personal profile2 Let us know which products you own 3and product。
2024-2025学年鲁教版(2019)八年级数学上册阶段测试试卷819考试试卷考试范围:全部知识点;考试时间:120分钟学校:______ 姓名:______ 班级:______ 考号:______总分栏题号一二三四总分得分评卷人得分一、选择题(共7题,共14分)1、【题文】若分式有意义,则a的取值范围是【】A. a=0B. a="1"C. a≠﹣1D. a≠02、已知x=1是方程x2+x﹣2a=0的一个根,则方程的另一个根是()A. 1B. 2C. ﹣2D. ﹣13、下面各式中,计算正确的是()A.B.C.D. =﹣34、小敏不慎将一块平行四边形玻璃打碎成如图的四块,为了能在商店配到一块与原来相同的平行四边形玻璃,他带了两块碎玻璃,其编号应该是[( <][) <]A. [① <],[② <]B. [② <],[③ <]C. [③ <],[④ <]D. [① <],[④ <]5、一次函数[y=kx+b <]的图象如图所示,则不等式[kx+b<0 <]的解集是[( <][) <]A. [x>−2 <]B. [x<−2 <]C. [x>−4 <]D. [x<−4 <]6、用下列长度(单位:cm)的三根木棒能拼成一个直角三角形的是()A. 3,3,B. 4,8,10C. 2,3,D. 5,5,107、函数中自变量的取值范围是()A、 B、 C、 D、评卷人得分二、填空题(共9题,共18分)8、如图,AB与CD相交于点E,AE=CE,如果根据“SAS”可以判定△ADE≌△CBE,那么只需要补充一个条件.9、【题文】已知四边形ABCD是平行四边形,添加一个条件使ABCD是菱形,添加的条件是10、如图是“赵爽弦图”,由4个全等的直角三角形拼成的图形,若大正方形的面积是13,小正方形的面积是1,设直角三角形较长直角边为a,较短直角边为b,则a+b的值是____.11、点[P(1,2) <]关于[x <]轴的对称点[P1 <]的坐标是 ______ ,点[P(1,2) <]关于[y <]轴的对称点[P2 <]的坐标是______ .12、如图,点[P <]是正方形[ABCD <]的对角线[BD <]上一点,[PE⊥BC <]于点[E <];[PF⊥CD <]于点[F <],连接[EF <],给出下列五个结论:[①AP=EF <];[②AP⊥EF <];[③PD=EC <];[④∠PFE=∠BAP <]正确的是.13、用边长分别为2cm,3cm,4cm的两个全等三角形拼成四边形,共能拼成个四边形,个为平行四边形.14、(2014秋•锦州期末)如图,直线l是一次函数y=kx+b的图象,若点A(x1,y1)和B(x2,y2)在直线l上,且x1<x2,则y1与y2的大小关系是.15、已知某样本的方差为2,则这个样本的标准差为.16、计算:×=_______评卷人得分三、判断题(共6题,共12分)17、==;.(判断对错)18、;.19、请举反例说明命题“若m<n,则m2<n2”是假命题..20、轴对称图形的对称轴有且只有一条.21、下列分式中,不属于最简分式的,请在括号内写出化简后的结果,否则请在括号内打“√”.①②③④⑤.22、正方形的对称轴有四条.评卷人得分四、综合题(共4题,共28分)23、(2014春•北京校级期中)在平面直角坐标系中,点P从原点O出发,且点P只能每次向上平移2个单位长度或向右平移1个单位长度.(1)实验操作:在平面直角坐标系xOy中,点P从原点O出发,平移1次后可能到达的点的坐标是(0,2),(1,0);点P从原点O出发,平移2次后可能到达的点的坐标是(0,4),(1,2),(2,0);点P从原点O出发,平移3次后可能到达的点的坐标是;(2)观察发现:任一次平移,点P可能到达的点在我们学过的一种函数的图象上,如:平移1次后在函数y=-2x+2的图象上;平移2次后在函数y=-2x+4的图象上,….若点P平移5次后可能到达的点恰好在直线y=3x上,则点P的坐标是;(3)探究运用:点P从原点O出发经过n次平移后,到达直线y=x上的点Q,且平移的路径长不小于30,不超过32,求点Q的坐标.24、已知双曲线y=(x>0),直线l1:y-=k(x-)(k<0)过定点F且与双曲线交于A,B两点,设A(x1,y1),B(x2,y2)(x1<x2),直线l2:y=-x+.(1)若k=-1,求△OAB的面积S;(2)若AB=,求k的值;(3)设N(0,2),P在双曲线上,M在直线l2上且PM∥x轴,求PM+PN最小值,并求PM+PN取得最小值时P的坐标.(参考公式:在平面直角坐标系中,若A(x1,y1),B(x2,y2)则A,B两点间的距离为AB=)25、如图1,在△ABC中,∠B=90°,AB=BC=2,点P从A出发沿线段AB运动,过点P作PF∥BC,交线段AC于点F.(1)点P在运动的过程中,△APF的形状(填“改变”或“不变”).如果改变,请指出所有可能出现的形状;如果不变,请指出它是什么三角形.答:.(2)如图2以顶点B为坐标原点,线段AB所在直线为x轴,建立平面直角坐标系,点P从A出发的同时,点Q从C出发沿BC的延长线运动,它们的运动速度相同,连线PQ与边AC交于点D.试解决以下两个问题:①当AP为何值时,S△PCQ=S△ABC;②作PE⊥AC于点E,当点P、Q运动时,线段DE的长度是否改变?证明你的结论.26、如图,在Rt△ABC中,∠BAC=90°,AB=3,AC=4,现将△ABC沿射线BC的方向平移a(a<5)个单位得到△DEF.(1)求EF的长度;(2)当a=3时,连接AE、BD,试判断AE、BD之间的位置关系,并说明理由;(3)探究:当a为何值时,△ADE是等腰三角形.。
DataOrdering data Product type description AZM201BZ-ST-T-AS-P Article number (order number)103025873EAN (European Article Number)4030661524313eCl@ss number, Version 9.027-27-26-03eCl@ss number, Version 11.027-27-26-03Approval - StandardsCertificatesTÜV cULusASi-SaW EAC FCC ICGeneral data Product nameZ 256 roller lever 7H-2138AZM201BZ-ST-T-AS-PLong lifeDouble-insulated40 mm x 244 mm x 50 mm Thermoplastic enclosure High holding force 2000Integrated AS-InterfaceI-variants with coding level HIGH to ISO 14119Interlock with protection against incorrect locking.Solenoid interlock with integrated AS-i Safety InterfaceUniversal repeatedly teachable or individualcoding because of the RFID technologyStandards ISO 13849-1 IEC 61508 IEC 60947-5-3 ISO 14119 IEC 62061EN 62026-2general information Universal codingCoding level according to ISO 14119LowActive principle RFIDEnclosure material Glass-fibre, reinforced thermoplastic Gross weight541 gTime to readiness, maximum4,000 msReaction time, maximum100 msDuration of risk, maximum200 msGeneral data - FeaturesPower to unlock YesActuator and interlock combined monitored YesLatching YesManual release YesSafety functions YesIntegral System Diagnostics, status YesNumber of actuating directions2Safety appraisalStandards ISO 13849-1 IEC 62061 IEC 61508Safety appraisal - InterlockingPerformance level, up to eControl category4PFH-value 1.81 x 10-9 /hPFD value 1.59 x 10⁻⁴Safety Integrity Level (SIL), suitable forapplications in3Mission Time20 Year(s) Mechanical dataMechanical life, minimum1,000,000 Operations Clamping force in accordance withISO14119 Fzh2,000 NClamping force, maximum Fmax2,600 NLatching force30 NActuating speed, maximum0.2 m/sTightening torque for the fixing screws,maximum8 NmMechanical data - Connection techniqueTerminal Connector Connector plug M12, 4-pole, (A-coding) Mechanical data - DimensionsLength of sensor50 mmWidth of sensor40 mmHeight of sensor220 mmAmbient conditionsDegree of protection IP66 to IEC 60529 IP67 to IEC 60529Ambient temperature, minimum-25 °C Ambient temperature, maximum+60 °C Storage and transport temperature,minimum-25 °C Storage and transport temperature,maximum+85 °C Relative humidity, minimum10 % Relative humidity, maximum95 %Note (Relative humidity)non-condensing non-icingResistance to vibrations to EN 60068-2-610 … 150 Hz, amplitude 0.35 mm Restistance to shock30 g / 11 msProtection rating IIIAmbient conditions - Insulation valueRated impulse withstand voltage U imp0.8 kVOvervoltage category IIIDegree of pollution to IEC/EN 60664-13Electrical dataSwitching frequency, maximum 1 HzElectrical data - AS InterfaceAS-i Operating voltage, minimum26.5 VDCAS-i Operating voltage AS-i maximum31.6 VDCNote (AS-i Operating voltage)Protection against polarity reversal AS-i Current consumption, maximum100 mAElectrical data - AS-Interface specificationAS-i Specification Safety-SlaveAS-i Version V 3.0AS-i Profile S-7.B.F.EAS-i, IO-Code0x7AS-i, ID-Code0xBAS-i, ID-Code10xFAS-i, ID-Code20xEAS-i Input, Channel 1Data bits DI 0 / DI 1 = dynamic code transmission AS-i Input, Channel 2Data bits DI 2 / DI 3 = dynamic code transmission AS-i Outputs, DO 0Solenoid controlAS-i Outputs, DO 1No FunctionAS-i Outputs, DO 2No FunctionAS-i Outputs, DO 3No FunctionAS-i Parameter bits, P0Safety guard and actuator detectedAS-i Parameter bits, P1Solenoid interlock lockedAS-i Parameter bits, P2Magnet voltage in tolerance rangeAS-i Parameter bits, P3Internal device error (FID)Note (AS-i Parameter bits)FID: periphery errorAS-i Input module address0Note (AS-i Input module address)Preset to address 0, can be changed through AS-interface bus master or hand-held programming deviceElectrical data - Auxiliary voltageRated operating voltage24 VDC -15% / +10% (stabilised PELV) Operating current500 mAStatus indicationNote (LED switching conditions display)Status and diagnostics: Transmitter + receiver(2) LED red: Internal device error(3) LED yellow: Device conditionPin assignmentPIN 1AS-Interface +PIN 2Aux - (P)PIN 3AS-Interface -PIN 4Aux + (P)Scope of deliveryIncluded in delivery Actuators must be ordered separately.AccessoryRecommendation (actuator)AZ/AZM201-B1 AZ/AZM201-B30Ordering codeProduct type description:AZM201(1)(2)-ST-T-AS(3)P(1)Z Solenoid interlock monitoredNB, MBN, BN Actuator monitoredBZ Combined monitoring of actuator and solenoid interlock(2)without Standard codingI1Individual codingI2Individual coding, re-teaching enabled(3)without Power to unlockA Power to lockPP Magnet supply 24 VDC (AUX)PicturesProduct picture (catalogue individual photo)ID: kazm2f51| 441,1 kB | .jpg | 134.761 x 625.122 mm - 382 x 1772Pixel - 72 dpi| 218,5 kB | .png | 74.083 x 343.606 mm - 210 x 974Pixel - 72 dpiDimensional drawing basic component| 7,2 kB | .png | 74.083 x 91.369 mm - 210 x 259 Pixel- 72 dpi| 253,1 kB | .jpg | 352.778 x 434.975 mm - 1000 x1233 Pixel - 72 dpiK.A. Schmersal GmbH & Co. KG, Möddinghofe 30, D-42279 WuppertalThe details and data referred to have been carefully checked. Images may diverge from original. Further technical data can be found in the manual. Technical amendments and errors possible.Generated on 05/05/2021 04:33:33。
APF样本样本 VV22.0V电能质量是指关于过电压、欠电压、三相不平衡、谐波、频率偏差、电压波动与闪变、暂时或瞬态过电压、电压骤升骤降、电压中断以及供电连续性一系列供用电的问题。
随着科技的发展与人们对电能使用要求的提高,电能质量已经成为制约经济发展与生产效率提高的一个关键要素。
稳态电能质量问题以波形畸变为主要特征,一般持续时间较长,在一段时间内(通常是1 min 以上)出现的电能质量不正常的情况,主要有下列类型:过电压,是指持续时间> lmin,数值大于标称电压的电压。
欠电压,是指持续时间>1min,数值小于标称电压的电压。
电压不平衡,是指电压的最大偏移与三相电压的平均值的比值超过规定的标准。
谐波,对周期性电压或电流进行傅立叶分解,得到频率为基波整数倍分量的含有量。
谐波是衡量电能质量的重要指标之一。
动态电能质量问题通常是以暂态持续时间为特征,包括脉冲暂态和振荡暂态两大类,主要有以下几种形式:电压骤升、骤降,持续时间为 0.5 个周期至 l min,电压有效值上升至标称电压的110%~180%或下降至标称电压的 10%~90%。
电压瞬变,持续时间很短的电压值发生快速的变化。
电压闪变,电压波形包络线呈规则的变化或电压幅值一系列的随机变化,一般表现为人眼对电压波动所引起的照明异常而产生的视觉感受。
闪变分为周期性和非周期性两种。
短时断电,持续时间在 0.5 个周期至3 s 之间的供电中断。
谐波的治理:使用无源滤波器、有源滤波器;增加变压器的容量、减少回路的阻抗及切断传输线路法;使用无谐波污染的绿色变频器。
国家电力部明文规定:因电网或用户原因引起的电能质量不符合国家标准时,按“谁干扰、谁污染、谁治理”的原则及时处理,并贯穿于电网及设施设计、建设和生产的全过程。
电力部已经确定的电能质量的相关标准为:《电能质量-供电电压偏差》——GB/T 12325-2008《电能质量-电压波动和闪变》——GB/T 12326-2008《电能质量-公用电网谐波》——GB/T 14549-1993《电能质量-三相电压不平衡》——GB/T 15543-2008《电能质量-电力系统频率偏差》——GB/T 15945-2008一、 电力电力有源滤波有源滤波有源滤波器器的工作原理电力有源滤波器采用高频电力电子开关变换技术、模拟和数字混合电路技术进行电流检测和电流注入的新型电力电子装置,它是一种用于动态谐波抑制、无功补偿、平衡三相负载的新型电力电子装置,它能对大小和频率都变化的谐波及变化的无功进行补偿,其应用可克服LC 滤波器等传统谐波抑制和无功补偿的缺点,是一种理想的补偿谐波的装置。
当电力系统负载为谐波源时,负载电流为L i =Lf i +Lh i ,其中L i 负载总电流、Lf i 为负载电流中的基波电流成份、Lh i 为负载电流中的谐波电流成份。
电力有源滤波器对负载电流L i 进行检测,由瞬时无功算法将L i 中的谐波电流成份Lh i 分离出来后,进行取反。
然后控制电力电子器件动作产生谐波补偿电流C i ,这样就可以保证公用电网流入的电流为纯正弦波形。
说明:电力有源滤波器工作原理示意图中的负号仅代表电流的方向取反,不代表实际的电流流动方向;安装电力有源滤波器的非线性负载系统运行图中,绿色环流部分代表无谐波电流、褐色部分代表含谐波电流。
电力有源滤波器工作原理示意图安装电力有源滤波器的非线性负载系统运行图二、典型非线性负载及谐波电流的危害典型非线性负载及谐波电流的危害典型非线性负载变速传动装置(交流)属三相负载,主要产生5,7,11,13次谐波电流且电流不稳定。
设备容量S=23KVA 谐波频谱图电流总畸变率THDI=124% 81% H5, 74% H7, 42% H11, ...整流器等三相负载主要产生5,7,11,13次谐波电流设备容量S=122KVA 谐波频谱图电流总畸变率THDI=30% 28% H5, 5% H7, 6% H11, ...单相电焊机含有较高3次谐波含量的电流设备容量Is=341A 谐波频谱图电流总畸变率THDI=58% 56% H3, 9% H5, 9% H7, ...照明(荧光灯)含有较高3次谐波含量的电流设备容量 谐波频谱图S=22KVA 51% H3, 11% H5, 8% H9, ...谐波对公用电网和其他系统的危害大致有以下几个方面::谐波对公用电网和其他系统的危害大致有以下几个方面 谐波电流使公用电网中的元件产生了附加的谐波损耗,降低了发电、输电、用电的使用效率。
若一个总负荷5000MW的大电网,馈给各类非线性负荷共1000MW,后者注入电网的谐波功率平均为用电负荷的0.2%,则总的谐波损耗平均为2MW,年损失电量达1752万KWH。
馈供给整流负荷的普通电力变压器,其容量应作相应降低,当变压器的附加损耗和基本损耗之比为1.5、整流器脉动数为6时,变压器容量降低45%。
谐波影响各种电气设备的正常工作。
据统计,由于谐波而破坏的电气设备中,并联电容器约占70%,其中串联电抗器约占30%。
谐波容易使电网与补偿电容器之间发生并联谐振或串联谐振,使谐波电流放大几倍甚至几十倍,造成过电流,引起电容器、与电容器相连的电抗器和电阻器的损坏,甚至引起严重事故。
谐波会导致继电保护和自动装置的误动作、熔丝非正常熔断,同时也会导致电气测量仪表计量不准确。
如在谐波和负序共同作用下,电力系统中以负序滤过器为起动元件的许多保护及自动装置会发生误动作,有的保护闭锁装置因频繁误动作不得不解除运行。
电力系统的故障录波器也会误动走纸、影响对实际故障的记录。
感应式电度表对高次谐波有负的频率误差。
由于谐波功率在谐波源负荷重和基波功率流向相反,因此对这类用户计量偏小。
对于一般线性负荷,电度表计量大体等于基波和谐波电度之和。
造成变压器、电动机等机械振动,噪声、温升显著增加,绝缘寿命缩短。
引起设备和线路额外发热,增加损耗、加速绝缘老化、降低设备使用寿命。
延缓电弧熄灭,造成事故扩大。
导致三相四线系统中的中线电流显著增加,可达1.7~2倍相电流,引发系统故障甚至事故。
谐波通过电磁感应和传导耦合等方式会对邻近的通信系统产生干扰,轻者引进噪声,降低通信质量;重者导致信息丢失,使通信系统无法正常工作。
谐波会引起生产设备运行不稳定,造成产品不合格率上升,降低企业效益。
三、谐波电流如何检测一般来说,电力系统中信号取样源大致有以下几种方法:1、互感器 这是最普遍、最直接的信号取样源设备。
电流互感器一般均为电磁式,电压互感器一般分两种:110KV 及以下电压互感器为电磁式、110KV 以上为电容式。
2、电阻分压器 国外有些智能开关柜采用这种电压取样方式,对被测电压直接进行电阻分压取得所需信号。
根据文献《IEEE Std 519-1992》所述,在10KHz 范围内,电流互感器用于谐波测量的误差一般不大于3%;大多数电磁式电压互感器在5KHz 范围内误差一般为3%左右,可以用于谐波的测量。
2002版本的《IEC61000-4-7》中明确规定基于DFT 分析的采样窗宽度为10个工频周波(对于50Hz),主要原因在于实际系统中要准确区分各类谐波的类型比较困难,另外对于同一种谐波类型由于规定的是一个窗口范围,因而不同的测量仪器由于窗口取值范围的不同将得到不同的结果,不利于实际操作。
使用的检测设备介绍福禄克Fluke 43B 电能质量分析仪Fluke 43B 电能质量分析仪将电能质量分析仪、示波器和多用表中最有用的功能集成到了一款简便有用的单台仪表中,具有以下特点。
Fluke 43B Fluke 43B 电能质量分析仪的特点电能质量分析仪的特点电能质量分析仪的特点 :FlukeView 软件可提供高达51次谐波的波形FlukeView 软件可以记录谐波和其它读数测量功率谐波,捕获电压骤降、跳变和突入电流监控功能可帮助用户跟踪偶发性的故障和电力系统的性能单键即可在最常用的电能质量模式之间进行切换在三相平衡负载系统中,单相测量即可计算三相功率测量电阻、二极管电压降、通断和电容20个测量存储单元,可保存/回调具有光标读数的屏幕和数据可以记录长达16天内的两个可选择参数菜单都使用熟悉的电气术语常用使用功能界面常用使用功能界面和功能和功能和功能::Fluke 43B Fluke 43B 电能质量分析仪参数电能质量分析仪参数电能质量分析仪参数 输入特性输入阻抗1 MΩ, 20 pF电压等级600V rms, CAT III谐波显示电压、电流、频率量程:基波 到 51次谐波 准确度:基波:VA ±(3% + 2 个字) W ±(5% + 2 个字) 2 至 31次谐波:VA ±(5% +3 个字) W ±(10% +10 个字) 32 至 51次谐波:VA ±(15% +5 个字) W ±(30% +5 个字)基波频率量程:40 Hz to 70 Hz 准确度:±0.25 Hz相位量程:电压(V)、电流(A) (基波对谐波) 准确度:±3º 至 ±15º 量程:功率(W) (电压基波 对 电流谐波) 准确度:±5º 至 ±15º K 因数 (电流和功率)量程:1.0 至 30.0 准确度:±10%THD 总谐波失真量程:0.00 - 99.99 准确度: ±(3% + 8 个字)功率显示瓦特、伏安(VA)、乏(VAR)单相和3相,3相平衡负载量程: 250 W - 1.56 GW准确度: ±(4% + 4 个字) 基波功率准确度: ± (2 % + 6 个字) 总功率功率因数量程: 0 - 1.0准确度: ±0.04位移功率因数, Cos .F量程: 0.25 - 0.9准确度: ±0.04量程: 0.90 - 1.0准确度: ±0.03基波频率量程: 40.0 to 70.0 Hz准确度: ±(0.5% + 2 个字)V/A/Hz 显示 真有效值电压 (交流+直流)量程: 5.000 V, 50.00 V, 500.0 V, 1250 V*准确度: ±(1% + 10 个字)真有效值电流(交流+直流)量程:50.00 A, 500.0 A, 5.000 kA, 50.00 kA, 1250kA准确度: ±(1% + 10 个字)频率量程: 40.0 至 15.9 kHz准确度: ±(0.5% + 2 个字)CF 波峰因数量程: 1.0 - 10.0准确度: ±(0.5% + 1 个字)骤降和骤升 记录时间: 4 分钟 至 16 天 (可选)实际Vrms 、最大Vrms、最小(AC+ DC)量程: 5.000V, 50.00V, 500.0V, 1250V*准确度:读数 ±(2% +10 个字); 光标读数 ± (2%+ 12 个字)实际Arms、最大Arms、最小(AC+ DC)量程: 50.00A, 500.0A, 5.000 kA, 50.00 kA准确度: ±(2% +10 个字)瞬态电压脉冲捕获 最小脉宽: 40 ns输入1 的有用带宽:直流 至 1 MHz瞬态事件的数量电压门限设置: 参考之上或之下的20%, 50%, 100%, 200%电阻、电容、二极管、通断 电阻量程:500.0 Ω, 5.000 kΩ, 50.00 kΩ, 500.0 kΩ, 5.000 MΩ,30.00 MΩ电阻准确度:±(0.6% + 5 个字)电容量程: 50.00 nF, 500.0 nF, 5.000 µF, 50.00 µF, 500.0 µF电容准确度:±(2% + 10 个字)二极管电压:准确度 ±(2% + 5 个字)通断: 在< 30 Ω ± 5 Ω时发出蜂鸣声最大电流: 0.5 mA突入电流 突入时间:1 s, 5 s, 10 s, 50 s, 100 s, 5 min电流量程:1 A, 5 A, 10 A, 50 A, 100 A, 500 A, 1000 A 准确度: ±5% 满度温度(使用附件)量程: -100 °C - 400 °C准确度:±(0.5% + 5 个字)示波显示 测量:直流、交流、交流+直流、峰值、峰-峰值、频率、占空比、相位、脉宽、波峰因数时间范围: 20 ns/div 至 60 s/div最大采样率: 25 MS/s带宽电压通道 [1]:20 MHz(在输入处),1 MHz(使用 TL24 测试线)电流通道 [2]:15 kHz (在输入处),10 kHz(使用 80i-500s电流钳)耦合: 交流、直流(10 Hz - 3 dB)垂直灵敏度: 5 mV/div 至 500V/div垂直分辨率: 8 bit (256 级)记录长度: 512 采样点/通道时基模式: 正常、滚动、单次预触发: 最大10 个栅格触发源: 输入 1 、输入 2 或自动选择触发模式:自动即触即测(Connect-and-View™)、FreeRun和单次触发即触即测(Connect-and-View™):根据信号模式自动触发自动调节触发、时基和幅值,显示稳定的波形存储器 20 (屏幕、设置、数据)记录 记录时间:4 分钟 至 16 天 (可选)参数: 从以下参数组中选择一个或两个参数:电压/安培/赫兹瓦特、伏安(VA)、乏(VAR)、功率因数(PF)、位移功率因数(DPF)、频率谐波、总谐波失真(THD)、电压(基波和谐波)、安培(基波和谐波)、瓦特(基波和谐波)频率(谐波)、%(谐波)、相位(谐波)、K因数温度电阻、二极管、通断、电容示波:直流电压、直流电流、交流电压、交流电流、频率正或负向脉宽、相位、正向或负向占空比、最大峰值、最小峰值、(最小-最大)峰值、波峰因数注 *标称为 600V CAT III机械和通用技术指标尺寸 232 x 115 x 50 mm重量 1.1 kg质保 3 年电池寿命 可充电镍镉电池组(包括充电器), 4 小时(典型值,连续工作) 冲击和振动 Mil 28800E, Type 3, Class III, Style B外壳 IP51 (防尘、防水)四、 电力电力无源滤波与无源滤波与无源滤波与电力电力电力有源滤波的比较有源滤波的比较名称不同电力无源滤波器的英文全称为ELECTRIC POWER PASSIVE FILTER DEVICE,其中PASSIVE 的中文含义为“被动的、无源的”。