TK-C1430EC

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JVC 彩色视频摄像机 TK-C1430EC 说明书

TK-C1430EC使用说明书彩色视频摄像机警告∶为避免火灾及电击，请勿使此设备遭受雨淋或受潮。

因设计变动，本说明书中的数据如有所变化，恕不另行通知。

安全注意事项承蒙惠购本产品。

（本说明书用于 TK-C1430EC）使用本机之前，请仔细阅读本使用说明书以保证其发挥最佳性能。

介绍功能 (4)操作注意事项 (5)控制器、插座和指示灯 (6)连接／安装RM-P2580 系统 (10)步骤 (12)安装镜头 (13)安装铁氧体磁芯 (14)后部的连接 (14)安装摄像机 (16)镜头调整 (18)后焦点调整 (19)自动白平衡控制调整 (20)菜单设置设置菜单 (21)菜单画面结构 (22)SYNC ADJUST 画面 (24)ALC SETTINGS 画面 (24)VIDEO ADJUST 画面 (29)MODE SELECT 画面 (30)MOTION DETECT 画面 (32)COMMUNICATION 画面 (33)MAINTENANCE 画面 (33)FACTORY SETTINGS 画面 (33)BLC EDITTING 画面 (34)白平衡的手动调整 (35)CAMERA TITLE 设置 (36)设置 MOTION DETECT 功能 (37)黑白／彩色切换信号输出 (38)由外部黑白／彩色切换信号进行控制 (39)白点补偿 (40)其他规格 (41)ⅢDSP（数字信号处理器）具有扩展动态范围（ExDR）功能，可在光线明亮和黑暗的地方进行拍摄。

Ⅲ采用具备 SENSE UP（32 倍）功能的CCD，可感受最小光通量密度为 0.9 1x（F1.2, 50%, AGC 20dB）和 0.03 lx（SENSE UP × 32）的被摄物。

另外，得益于 B／W 模式，可感受到 0.03 1x（F1.2, 50% AGC 20dB）的光通量密度。

Ⅲ运动检测功能可检测图像中的运动并发出告警信号。

调光模块型号

W-1
0.25
33-
50
1
1130
25-37
28-
42
45
4
5
8
5
智能控制方式：无线控制模块WiFi
6
GT-DR36075C
W-WF-1
0.14
25-
30
1
680
31-37
21-
25
45
4
5
8
5
WiFi调光、2.4G遥控器调光
GT-WFESP32-AV1.7
GT-MHCWB6S-B
V1.2
GT-MHCWB4P
0.25
33-
50
1
1130
25-37
28-
42
45
4
5
8
5
智能控制方式：分段模块
16
GT-DR36075C
W-FD-1
0.14
25-
30
1
680
31-37
21-
25
45
4
5
8
5
分段调光
GT-WD51V1.0
17
GT-DR36085C
W-FD-1
0.16
30-
36
1
800
31-37
25-
30
45
4
5
GT-MHCWB6G-B
7
GT-DR36085C
W-WF-1
0.16
30-
36
1
800
31-37
25-
30
45
4
5
8
5
8
GT-DR36100C
W-WF-1

Valtek MaxFlo 4 Eccentric Rotary Plug Control Valv

Valtek MaxFlo 4 Eccentric Rotary Plug Control ValveMaxFlo 4 Eccentric Rotary Plug Control Valve2The Flowserve Valtek MaxFlo 4 control valve is a high performance eccentric rotary plug valve designed for the process industry. It features a large capacity, standard hardened trim and superior shaft blow-out protection. This valve is available in sizes 1 through 12 inches, ASME Class 150, 300 and 600 as well as DIN PN 10, PN16, PN 25, PN40 and PN63.An optional ISA 75.08.01 or DIN EN 558 series 1 long-pattern body makes this valve an easy drop-in replacement for a globe control valve.The MaxFlo 4 is suitable for most applications; its control valve features include:• Highest Rated Cv • Precise Control • Reliable Shut-off• Most Current Safety Standards • Fugitive Emissions Elimination •Integral Noise Reduction PlatesHighest Rated CvThe unique design of the MaxFlo 4 shaft and plug provide as much as 70% more Cvcompared to the competition. This allows customers to get more flow when neededand sometimes allows for a smaller, more economical valve to be used.Precise ControlThe MaxFlo 4 polygon connection between the shaft and plug is a proven superiormethod for making demanding mechanical connections that are stronger, more preciseand have a substantially longer service life. This reduces backlash and the high strengthof the polygon connections makes them capable of withstanding greater shock loadsunder extreme torque reversal conditions.Reliable Shut-offThe MaxFlo 4 double-offset eccentric plug rotates into the seat at an angle that eliminatessliding over the seat surface. This design reduces seat wear, and thereby decreases main-tenance requirements and costs. At the same time, a tight ANSI Class VI shutoff is easilyobtainable using the soft seat design.Safety StandardThe shaft is designed to meet the safety requirements of industry standard ASME B16.34to ensure that the shaft is retained even if the actuator is removed when the valve is stillpressurized. This is standard on every MaxFlo 4 to provide our customers with confidenceand safety.3Separate bonnet ensures positive anti-blowout, accommodates multiple packing options, and offers flexibility in material selection for demandingapplications.Heavy-duty rigid metal seat,with hardfaced or soft-seat options, provides tighter shutoff, and easier maintenance. Available in full area and several reductions in every size to suit your process needs.Blow out proof shaft required by ASME B16.34 2004 Sec 6.5 ensures safety. Standard on every MaxFlo 4.An economical flangeless configuration of the MaxFlo 4 is also available. The standard flanged body is the same length. To replace existing globe valves we offer the flanged body with the same face to face length as a globe valve (Per ISA 75.08.01).4Open Flow Path gives as much as 70%more C v than competitive valves that have the shaft obstructing the flow. In many cases it is possible to use a smaller, more economical MaxFlo 4.Flanged end post allows for easy maintenance.Hard stainless steel plug requires no breakout torque and increases valve life as the plug lifts off the seat immediately when it begins rotating.Precision NC machined plug and shaft significantly reduces maintenance costs byallowing replacement of only the necessary parts.Polygon shaft/plug connection for precise robust control.Shimless seat offers simplified assembly and easy maintenance.5Eliminate Fugitive EmissionsSpecial Flowserve packing sets, such as SureGuard XT live loaded packing, are available to control fugitive emissions. Packing options include: PTFE V-Ring, Braided PTFE, Graphite, Sureguard XT, Garlock SVS, LATTYflon 3265 LM and LATTYgraf 6995 NG (meeting requirements for TA-Luft, ISO 15848-1 class B and A, and EPA standards).Integral Noise-Reduction Plate OptionDesigned to reduce noise levels by 5 to 10 dBA, our integral plate fits into the valve body. It can be easily maintained using the same tools required for the seat retainer. It is perfectly suitable with all gases in the shaft-downstream direction, and the plate does not change the length of the valve.Integrated Control Valve SolutionOperated by a diaphragm, piston, or rack-and-pinion actuator coupled with a Logix digital positioner, the MaxFlo 4 maintains high positioning accuracy, repeatability, controlled high speed and reliable response. With the advanced diagnostic solutions that can be seamlessly integrated into a host control and/or plant asset management system, along with state-of-the-art features and performance, the MaxFlo 4 is the most economical Eccentric Rotary Plug valve in the market.NR Diaphragm Rotary ActuatorThe Flowserve NR diaphragm rotary actuator is a rugged single-acting actuator designed to provide high performance, long life and reliability. The diaphragm actuator is very sensitive to small changes in air supply, which allows it toprecisely move the valve plug without over shoot.6Logix 3000MD+ Digital PositionerEasiest calibration and configuration of any positioner available. Single, push-button calibration and DIP switch configuration allow you to fully commission the positioner in a matter of minutes. Using ValveSight Software DTM brings the availability of 24/7 diagnostics.For more information see document number LGENIM0059 and LGENIM3404 at .Logix 500MD+ Series Digital PositionerTo minimize your total cost of ownership and maximize productivity, Flowserve developed the Logix MD+ digital positioner. The Logix MD+ digital positioner allows for fast, simple commis-sioning, extremely accurate and reliable control, and diagnostic features that provide powerfuland easy ways to determine when maintenance is required.ValveSight™ Diagnostic Software – Prevention deliveredValveSight is a diagnostic solution for control valves that can be seamlessly integrated into a host control and/or plant asset management system. The power of ValveSight is the intel-ligent diagnostic engine -- which detects an emerging condition in the valve, actuator, posi-tioner, and control signal -- that may indicate a performance, safety, or environmental problem. ValveSight advises which corrective actions totake to prevent a failure.VR Spring Cylinder Rotary ActuatorThe Flowserve VR spring cylinder rotary actuator combines high torque and pneu-matic stiffness with excellent throttling capabilities. These characteristics are designed into a lightweight, rugged and compact assembly, making the Flowserve spring cylinder rotary actuator an excel-lent choice for quarter-turn applications.SuperNova Rack & Pinion Rotary ActuatorThe Flowserve SuperNova rack & pinion rotary actuator is designed forreliability, versatility and safety. Rugged, yet compact construction combined with technical solutions make this product extremely reliable in the severest of operating conditionsLogix 420 Digital PositionerThe Logix 420 is the latest addition to the digital positioner family from Flowserve. When mounted to the MaxFlo 4 eccentric rotary plugcontrol valve, Logix 420 provides the user with a cost competitive solutionfor the general service, explosion proof market. For more information see document numberLGENIM0106 at www .Unparalleled Service: Day or Night, WorldwideFlowserve Quick Response Centers (QRCs) are equipped with thousands of parts, including OEM andFlowserve custom-built products. Each has the manpower andequipment to expedite time-sensitiverepairs of any size.7To find your local Flowserve representative:For more information about Flowserve Corporation, visit or callUSA 1 800 225 6989 or International +1 972 910 0774FCD VLENBR0064-01-AQ Printed in USA. November 2015. © 2015 Flowserve Corporation United States Flowserve1350 N. Mt. Springs Parkway Springville, UT 84663USAPhone: +1 801 489 8611Fax: +1 801 489 3719AustriaFlowserve Control Valves GmbH Kasernengasse 69500 Villach AustriaPhone: +43 (0)4242 41181 0Fax: +43 (0)4242 41181 50FranceFlowserve France S.A.S.BP 60 63307 Thiers Cedex FrancePhone: 33 4738 04266Fax: 33 4738 01424IndiaFlowserve India Controls Pvt. Ltd Plot # 4, 1A, E.P .I.P , Whitefield Bangalore Kamataka India 560 066Phone: +91 80 284 10 289Fax: +91 80 284 10 286SingaporeFlowserve Pte. Ltd.12 Tuas Avenue 20Republic of Singapore 638824SingaporePhone: +65 6879 8900Fax: +65 6862 4940Saudi ArabiaFlowserve Abahsain Flow Control Co., Ltd.Makkah Road, Phase 4Plot 10 & 12, 2nd Industrial City Damman, Kingdom of Saudi ArabiaPhone: +966 3 857 3150 ext. 243Fax: +966 3 857 4243ChinaFlowserve Fluid Motion and Control (Suzhou) Co., Ltd.No. 35, Baiyu RoadSuzhou Industrial Park, Suzhou Jiangsu Province, P .R. 215021ChinaPhone: 86 512 6288 8790Fax: 86 512 6288 8736。

罗格朗美驭、美爵系列开关插座目录

罗格朗美驭、美爵系列开关插座目录美驭开关一开单控型号: VS31/1/2B 颜色: 雅白一开双控型号: VS31/2/3B 颜色: 雅白二开单控型号: VC32/1/2CY 颜色: 雅白二开双控型号: VC32/2/3C 颜色: 雅白二开双控型号: VC32/2/3CY 颜色: 雅白三开单控型号: VC33/1/2A 颜色: 雅白三开单控型号: VS33/1/2AY 颜色: 雅白四开单控型号: VC34/1/2D 颜色: 雅白四开双控型号：VS34/2/3D 颜色: 雅白声光控型号: MY-SGK 颜色: 雅白调节开关型号: VCM2 颜色: 雅白插座10A三孔型号: VC426/10S 颜色: 雅白16A三孔型号: MY-16S 颜色: 雅白10A一开三孔型号: VS15/10S 颜色: 雅白16A一开三孔型号: VC/16CSL 颜色: 雅白二三插五孔型号: VC/16CSL 颜色: 雅白一开五孔型号: VS15/10USL 颜色: 雅白一位网络插座型号: MY-C01 颜色: 雅白一位电视插座型号: MY-PTTV 颜色: 雅白电视电脑插座型号: VSC01/TV 颜色: 雅白美爵开关一开单控型号: 280200 颜色: 银色型号: 280010 颜色: 象牙白带荧光一开双控型号: 280001 颜色: 雅白型号: 280011 颜色: 雅白带荧光二开单控型号: 280202 颜色: 银色型号: 280012 颜色: 雅白带荧光二开双控型号: 280003 颜色: 雅白型号: 280013 颜色: 雅白带荧光三开单控型号: 280204 颜色: 银色型号: 280014 颜色: 象牙白带荧光三开双控型号: 280005 颜色: 雅白型号: 280015 颜色: 雅白带荧光四开单控型号: 280206 颜色: 银色型号: 280016 颜色: 象牙白带荧光四开双控型号: 280007 颜色: 雅白型号: 280017 颜色: 雅白带荧光插座10A三孔型号: 280100 颜色: 雅白16A三孔型号: 280102 颜色: 银色10A一开三孔型号: 280101 颜色: 象牙白型号: 280300 颜色: 银色16A一开三孔型号: 280103 颜色: 象牙白型号: 769852 颜色: 银色二三插五孔型号: 280108-WK 颜色: 象牙白一开插五孔型号: 280113 颜色: 象牙白二二插四孔型号: 280112 颜色: 象牙白电话插座型号: 280170 颜色: 雅白电脑插座型号: 280171 颜色: 雅白电视电话插座型号: MJ-TV/T01 颜色: 象牙白电视电脑插座型号: 280169 颜色: 象牙白。

1万多个电视机高压包脚位通法

TD96DPGL4 BSC25-6503 109-273-001 MHF028-18 DNF FN1407 MSHIFBL10 154-121G FCO14A037 F 0063PE-M 夏普14D-CM 1459 夏普14D-CM 1459 F 0063PE-M F 1805CE 47105356 夏普29″ 夏普29″ 47105356 TFB 4071AD 罗兰士25″ BSC23-0201XB 新宝14″ TD-1538DP 新宝14″ BSC23-0201XB TD-1538DP TD-1538DP JF0208-0220 31-140220-2081 JF0208-0220 31-140220-2081 BSC23-0201XB 31-140220-2081 BSC23-0201XB 新宝14″ CV-2018VR ATK1011 三棱28″ 三棱28″ ATK1011 KJF-9266H 600019266 600019266 KJF-9266H 2436551 夏普14″ 夏普14″ 2436551 LB0000001-A CFB-4/064 CFB-4/046 LB0000001-A BSC25-6503 TD96E16848 TD96E16848 BSC25-6503 BSC25-6503 TD96DPGL4 TD96DPGL4 BSC25-6503 ASCR1448 BSC25-6503 TD96DPGL4 TLF15504B4 TLF15504F TLF15504F TLF15504B4 BSC24-0624 金星4717 548-2 543
金利浦14″ BSC23-0101 FCM-2012E21A 37M2012E-21A BSC21-3366 孔雀14″ BSC23-3366 孔雀14″ BSC21-3366 BSC23-3366 BSC23-3366 优纳拉斯14″ 孔雀14″ TFB-3035B 康艺8135 康艺4507 康艺4507 TFB-3035B 康艺8135 康艺8135 TFB-3035B BSC24-1051P 熊猫2118 2119 2128 熊猫54P36 熊猫2118 2119 2128 熊猫54P36 BSC24-1051P BSC22-2501B 康艺CE3703 凯歌4C370S 康艺CE3703 BSC22-2501B 凯歌4C370S 凯歌4C370S BSC22-2501B 康艺CE3703 TLF15550B DNF.FL2732A 2027017-001 53X0528-001 53X0528-001 2027017-001 假松下TC-2198 730-302-1548 39L7014AI 79A316-2 TLF70100 TLF70100 79A316-2 ATK1061 三棱40″ 三棱40″ ATK1061 BSC25-2951C 金星C542 金星C542 BSC25-2951C BSC26-N0401 TFB 4095BD 金星C6428 TFB 4095BD BSC26-N0401 金星C6428 金星C6428 BSC26-N0401 TFB 4095BD 2435011A 日立CM2110 日立CM2110 2435011A TFB 4131AD 东芝2550 东芝2550 TFB 4131AD KW03027F 3531A TLF15521B TLF15521F TLF15521F TLF15521B BSC25-6503 TD96DPGL4

双电源转换开关-PC级

800c4操作周期oioiiootmc双电源电动转换开关技术数据24双电源转换开关pc级otm160cotm200cotm250cotm315cotm400cotm630cotm800c10001216020025031540063080016020025031540063080070951201852402185224016020025031540063080016020025031540063080045607510013220025090110140160220355450901101451802303554501101321702202804005601602002503154006308001280160020002520320050406400405355315505605005008001000405355315598355005008001000405355315615905004508008004053553155983550050080010001531381524361520306580246565102540800050001600010000m825m1030m12401522304450162725471283258156pc15253816020025031540063080016020025031540063080025双电源转换开关pc级otmcd双电源自动转换开关技术数据符合iec6094761及gb1404811标准双电源转换开关型号otm32cdotm40cdotm50cd额定绝缘电压和额定工作电压50690额定冲击耐受电压kv12额定发热电流和额定工作电流ac环境温度40箱体外324050箱体内连接电缆最大截面铜电缆mm103535额定工作电流ac31b415v324050ac33b415v额定开断容量ac33b415v184240额定限制短路电流有效值rms50ka415vka6513最大ofa保险丝规格gg3210080额定短时耐受电流cwrms690v01ska15额定短路接通能力峰值icm415vka30转换时间控制器不设定延时的情况下15转换开关正常转换操作最大频率次min转换开关短时转换操作最大频率不大于10次次min10机械寿命0i0ii010000工作环境温度40储存温度70端子螺钉规格公制螺纹直径长度mmm825端子拧紧力矩nm1522操作力矩nm重量不

碘值对生物柴油燃烧颗粒物粒径分布和碳质组分的影响

Vol. 55 No. 5May2021第55卷第5期2021年5月西安交通大学学报JOURNAL OF XI'AN JIAOTONG UNIVERSITY碘值分布和碳质组分的影响杜家益】，杨启航】，张登攀】，王益凡】，蒋胜】，袁银男"#.江苏大学汽车与交通工程学院，212013，江苏镇江；2.苏州大学能源学院,215006，江苏苏州）摘要：为研究碘值对生物柴油燃烧颗粒物排放特性的影响，采用颗粒物粒径谱仪和碳分析仪对不同原料生物柴油燃烧颗粒物的粒径分布和碳质组分进行分析。

结果表明，在发动机最大转矩转速 2 400 r/min 、100%负荷下，燃用生物柴油最大爆发压力、燃烧温度和燃烧持续期均高于柴油，且碘值越大，燃烧持续期越短。

燃用生物柴油可有效降低颗粒物排放，最大降幅达85%，且颗粒物粒径减小；碘值越大，颗粒物生成数量越多，碘值较大的大豆油甲酯颗粒物排放量是碘值低的地沟油甲酯颗粒物的5. 3倍％颗粒物碳质组分中有机碳（OC ）主要组成是OC1和OC4,其质量占总碳（TC ）质量的60%以上；元素碳（EC ）主要组分是EC2,其质量占EC 质量的50%以上％柴油颗粒物OC和EC 的质量比R 为7. 4,生物柴油颗粒物的R 为18 2〜24. 5,且生物柴油碘值越大,R 越大。

选用碘值较小的生物柴油，能更有效地降低颗粒物的排放。

关键词：生物柴油；颗粒物；碘值；粒径分布；碳质组分中图分类号：TK421. 5文献标志码：ADOI ： 10. 7652/xjtuxb202105003 文章编号:0253-987X （2021）05-0018-07OSID 码Effect of Iodine Value on the Particle Size Distribution andCarbon Component of Three BiodieselsDU Jiayi 1，YANG Qihang 1，ZHANG Dengpan 1，WANG Yifan 1 , JIANG Sheng 1，YUAN Yinnan 2(1.SchoolofAutomobileandTra f icEngineering &%iangsu University &Zhenjiang &%iangsu212013&China '2.SchoolofEnergy &Soochow University &Suzhou &%iangsu215006&China )Abstract : In order to study the effect of iodine value on the emission characteristics of biodieselcombustionparticulatema t er &theengineexhaustparticlesizerandcarbonanalyzerwereusedtoanalyze the particle size distribution and carbon component of particulate matter from differentbiodiesels.Theresultsshowthatthemaximumexplosionpressure &combustiontemperatureandcombustionduration ofthreebiodieselsarehigherthanthatofdieselatthe maximum engine torque speed 2 400 r/min and 100 % load. The greater the iodine value is ， the shorter the combustion duration becomes. The use of biodiesel can effectively reduce the amount of particulate matter emissions ，with a maximum reduction of 85 %，and the particle size of biodieselparticles is decreased. The higher the iodine value is ， the more the particulate matter is produced.TheemHssHonconcentratHon ofsoybean ol methylesterpartHcles wHthlargerHodHne valueHs5.3tmesthatof wasteol methylesterpartHcles wthlowerHodHnevalue.The maHncomponentsoforganHccarbon (OC )HnthecarbonaceouscomponentofpartHculatema t erareOC1收稿日期：2020-08-15o作者简介：杜家益（1968-），男，副教授；张登攀（通信作者），男，讲师。

西门康可控硅选型

SKM300GB174D
300A/1700V/2U
SKM200GAR123D
200A/1200V/2U
SKM50GAL123D
50A/1200V/2U
SKM300GAR123D
300A/1200V/2U
SKM75GAL123D
75A/1200V/2U
SKM400GAR124D
400A/1200V/2U
150A/1200V/2U
SKM400GAL124D(125D)
400A/1200V/2U
SKM200GB123D(124D)
200A/1200V/2U
SKM100GAL173D
100A/1700V/2U
SKM300GB123D(124D)
300A/1200V/2U
SKM145GAL174DN
145A/1700V/2U
SKKT131/12(16)E
130A/1200V(1600V)/2U
SKKQ31/12(16)
31A/1200V(1600V)双相反并联2U
SKKT132/12(16)E
130A/1200V(1600V)/2U
SKKQ45/12(16)
45A/1200V(1600V)双相反并联2U
型号(半控)
技术指标
西门康可控硅系列
西门康可控硅模块(SKKT=两可控硅串联,SKKH=二极管+高端可控硅,SKKL=低端可控硅+二极管)
型号(全控)
技术指标
型号(全控)
技术指标
SKKT15/12(16)E(D)
15A/1200V(1600V)/2U
SKKT161/12(16)E
160A/1200V(1600V)/2U

英飞拓产品型号

英飞拓产品型号英飞拓产品型号渠道产品，价格优惠，不满意可退货 150********2．1 固定摄像机-PALV5101-A50142 ⼀体化摄像机2．3 因定半球摄像机2．4 V1700A系列快球2．5 V1750A系列充氮快球2．6 V1700S系列内置单模光端机的快球2．7 V1900A系列快球2．8⼀体化云台摄像机2．9恒速球形护罩/云台2．10快球零部件1．模拟监控前端产品2．1 固定摄像机V5101-A2014 V5101-A3014 V5101-A5014 V5101-A2019 V5101-A3019 V5102-A2014 V5102⽇夜型因定摄像机V5102-A3014 V5102-A5014V5102-A3019 V5102-A2019V5103宽动态彩⾊固定摄像机V5103-A3014V1025-1H⾼解析度彩⾊摄像机V1025-1HV1026-1⾼解析度⽇夜转换型摄像机V1026-1V1027-1 1/2英⼨宽动态⾼灵敏度低照度彩⾊摄像机V1027-1V1033-1宽动态⽇夜转换型摄像机V1033-12．2⼀体化摄像机PALV1224⼀体化彩⾊摄像机V1224-22A14V1244⼀体化⽇夜转换摄像机V1244-23A14 V1244-26A14 V5411-A2014ST V5411-A2014SU V5411-A2014SV 2．3固定半球摄像机PALV5411-A2014SW V5411-A2014SX V5411-A2014SYV5411-A2014SZ480线⼿动变焦⾃动光圈镜头V5411-A2014 SBV5411-A2014 SDV5411-A2014SE V5411-A2014SC V5411-A2014SF520线固定焦距镜头V5411-A3014ST V5411-A3014SU V5411-A3014SV V5411-A3014SW V5411-A3014SX V5411-A3014SY V5411-A3014SZ520线⼿动变焦⾃动光圈镜头V5411-A3014SB V5411-A3014SD V5411-A3014SE V5411-A3014SCV5512室内⽇夜型因定半球摄像机V5411-A3014SF V5512-A2014SB V5512-A2014SE520线⼿动变焦⾃动光圈镜头V5512-A3014SB V5512-A3014SEV5413室内宽动态彩⾊固定半球摄像机V5512-A3014SB V5413-A3024SB V5413-A3024SE2．3固定半球摄像机PALV5411-A2014ST V5411-A2014SU V5411-A2014SV V5411-A2014SW V5411-A2014SXV5411-A2014SY480线⼿动变焦⾃动光圈镜头V5411-A2014SZ V5411-A2014SB V5411-A2014SD V5411-A2014SE V5411-A2014SC V5411-A2014SF520线固定焦距镜头V5411-A3014ST V5411-A3014SU V5411-A3014SV V5411-A3014SW V5411-A3014SZ V5411-A3014SY V5411-A3014SX520线⼿动变焦⾃动光圈镜头V5411-A3014SB V5411-A3014SD V5411-A3014SE V5411-A3014SCV5512室内⽇夜型因定半球摄像机V5411-A3014SF V5512-A2014SB520线⼿动变焦⾃动光圈镜头V5512-A2014SE V5512-A3014SB V5512-A3014SB V5512-A3014SEV5413室内宽动态彩⾊固定半球摄像机V5413-A3024SBV1700A系列快球PAL室内吸顶装快球V1725A-C1C2C6 V1726A-C1C2C6 V1727A-C1C2C6 V1728A-C1C2C6 V1724A-C1C2C6 V1729A-C1C2C6 V1723A-C1C2C6室内⽀架装快球V1725A-C1C2B6 V1726A-C1C2B6 V1727A-C1C2B6 V1728A-C1C2B6 V1724A-C1C2B6 V1729A-C1C2B6 V1723A-C1C2B6室外吸顶装快球V1745A-C1C2C6 V1746A-C1C2C6 V1747A-C1C2C6 V1748A-C1C2C6 V1744A-C1C2C6 V1749A-C1C2C6 V1743A-C1C2C6室外⽀架装快球V1745A-C1C2B6 V1746A-C1C2B6 V1747A-C1C2B6 V1748A-C1C2B6 V1744A-C1C2B6 V1749A-C1C2B6 V1743A-C1C2B62．5 V1750A 系列充氮快球-PAL室内充氮吊装快球V1757A-C1C3B6 V1758A-C1C3B6 V1759A-C1C3B6 V1753A-C1C3B6 V1791室内内置单模光端机吸顶装快球V1725S-C1C2C6 V1726S-C1C2C6 V1727S-C1C2C6 V1728S-C1C2C6 V1729S-C1C2C6 V1723S-C1C2C6室内内置单模光端机⽀架装快球V1725S-C1C2B6V1726S-C1C2B6V1727S-C1C2B6 V1728S-C1C2B6 V1729S-C1C2B6 V1723S-C1C2B6室外内置单模光端机吸顶装快球V1745S-C1C2C6 V1746S-C1C2C6 V1747S-C1C2C6 V1748S-C1C2C6 V1743S-C1C2C6 V17243S-C1C2C6室外内置单模光端机⽀架装快球V1745S-C1C2B6 V1746S-C1C2B6 V1747S-C1C2B6 V1748S-C1C2B6 V1749S-C1C2B6 V1724S-C1C2B62．7V1900A系列快球PAL室内吸顶装快球V1901A-C1C2C6 V1902A-C1C2C6 V1903A-C1C2C6 V1904A-C1C2C6 V1906A-C1C2C6室内⽀架装快球V1901A-C1C2B6 V1902A-C1C2B6 V1903A-C1C2B6 V1904A-C1C2B6 V1906A-C1C2B6室外吸顶装快球V1911A-C1C2C6 V1912A-C1C2C6 V1913A-C1C2C6 V1914A-C1C2C6 V1916A-C1C2B6 V1917A-C1C2B6室外⽀架装快球V1911A-C1C2B6 V1912A-C1C2B6 V1913A-C1C2B6 V1914A-C1C2B6 V1916A-C1C2B6 V1917A-C1C2B62．8 ⼀体化云台摄像机V1492-18A15 V1492-23A15 V1492-26A15 V1492-35A15 V1492-36A15 V1492-18A16 V1492-23A16 V1492-26A16 V1492-35A16 V1492-36A16 V1492-18A17 V1492-23A17 V1492-26A17 V1492-35A17 V1492-36A17 V1492-18A18 V1492-23A18 V1492-26A18 V1492-35A18V1492-36A18⼀体化云台⽀架（适⽤于V1492、V1493）V1662-W1 V1662-S1 V1662-C1 V1662-DV1493中型⾼速云台V1493-D16V7A15 V1493-DP16V7A15 V1493-A15 V1493-D16V7A16 V1493-DP16V7A16 V1493-A16 V1493-D16V7A17 V1493-DP16V7A17 V1493-A17 V1493-D16V7A18 V1493-DP16V7A18 V1493-A18V1631隔爆云台摄像机V1631-23A19 V1631-25A19防爆护罩V1421-15SHB6-2V1421-15SHB8-2V1421-15A6-2V1421-15A8-2隔爆云台⽀架V1664-W V1664-C V1664-S V1665-W12．9恒速球形护罩/云台V1682 系列室内/室外恒速球形云台V1682-C2B-9HBPV1682-C2B-9HBP2．10 快球零部件V1761 V1761L V1762 V1763 V1764 V1764A V1764B V1765 V1765A V1766适⽤V1750A系列充氮快球V1761S V1762S V1763S球芯V1700N系列⽹络快球球芯(PAL)(坜另配视频缟码卡)V1825N-C16 V1826N-C16 V1827N-C16 V1828N-C16 V1829N-C16 V1825N-C15 V1826N-C15 V1827N-C15V1828N-C16 V1829N-C16V1700A系列快球球芯(PAL)V1825A-C16 V1826A-C16 V1827A-C16 V1828A-C16 V1829A-C16 V1825N-C15 V1826N-C15 V1827N-C15V1828N-C16 V1829N-C16V1750A系列充氮快球球芯(PAL)V1825AP-C16 V1826AP-C16 V1827AP-C16 V1828AP-C16 V1829AP-C16 V1825AP-C15 V1826AP-C15 V1827AP-C15 V1828AP-C15 V1829AP-C15V1700S系列光端机快球球芯（PAL）V1825AF-C16 V1826 AF-C16 V1827 AF-C16 V1828 AF-C16 V1829 AF-C16 V1825AF-C15 V1826 AF-C15 V1827 AF-C15 V1828 AF-C15 V1829 AF-C15V1900A系列快球球芯（PAL）V1901A-C16 V1902A-C16 V1903A-C16 V1904A-C16 V1905A-C16 球罩快球下罩（不带法兰）V1840-C2 V1840-S2 V1840-C3 V1840-S3室内吸顶装配罩下罩（带法兰）V1840-C2C V1840-S2C V1840-C3C V1840-S3C室内⽀架装配罩下罩（带法兰）V1840-C2B V1840-S2B V1840-C3B V1840-S3B室外⽀架装和吸顶装配罩下罩（带法兰和加热器）V1840-C2O V1840-S2O V1840-C3O V1840-S3O V1840P-C3OV1840P-S3O快球上罩（带法兰）V1850-IC V1850-IB V1850-OC V1850-OB V1850P-OB V1852-IC V1852-IB V1852-OC V1852-OB快球电源板V1860A-C6 V1860N-L6 V1860A-C5 V1860N-L5快球电源V3922-24A-26．键盘及辅助设备6．1 键盘V2100 V2109X V2111X V2110 V2115 V2116X7．3 V2020系列中型矩阵切换/控制器V2020AX-16X4 V2020AX-16X8 V2020AX-16X12 -16X16 V2020AX-16X20 V2020AX-16X24 V2020AX-16X28V2020AX-16X32 V2020AX-32X4 V2020AX-32X8 V2020AX-32X12 V2020AX-32X16 V2020AX-32X20 V2020AX-32X24 V2020AX-32X28 V2020AX-32X32 V2020AX-48X4 V2020AX-48X8V2020AX-48X12 V2020AX-48X16 V2020AX-48X20 V2020AX-48X24 V2020AX-48X28 V2020AX-48X32 V2020AX-64X4 V2020AX-64X8 V2020AX-64X12 V2020AX-64X16 V2020AX-64X20 V2020AX-64X24 V2020AX-64X28 V2020AX-64X32 V2020AX-80X4 V2020AX-80X8 V2020AX-80X12 V2020AX-80X16 V2020AX-80X20 V2020AX-80X24V2020AX-80X28 V2020AX-80X32 V2020AX-96X4 V2020AX-96X8 V2020AX-96X12 V2020AX-96X16 V2020AX-96X20 V2020AX-96X24 V2020AX-96X28 V2020AX-96X32V2020AX-112X4 V2020AX-112X8 V2020AX-112X12 V2020AX-112X16 V2020AX-112X20 V2020AX-112X24V2020AX-112X28 V2020AX-112X32 V2020AX-128X4 V2020AX-128X8 V2020AX-128X12 V2020AX-128X16V2020AX-128X20 V2020AX-128X24 V2020AX-128X28 V2020AX-128X32 V2020AX-144X4 V2020AX-144X8V2020AX-144X12 V2020AX-144X16 V2020AX-144X20 V2020AX-144X24 V2020AX-144X28 V2020AX-144X32V2020AX-160X4 V2020AX-160X8 V2020AX-160X12 V2020AX-160X16 V2020AX-160X20 V2020AX-160X24V2020AX-160X28 V2020AX-160X32 V2020AX-176X4 V2020AX-176X8 V2020AX-176X12 V2020AX-176X16V2020AX-176X20 V2020AX-176X24 V2020AX-176X28 V2020AX-176X32 V2020AX-192X4 V2020AX-192X8V2020AX-192X12 V2020AX-192X16 V2020AX-192X20 V2020AX-192X24 V2020AX-192X28 V2020AX-192X32 V2020AX-208X4 V2020AX-208X8 V2020AX-208X12 V2020AX-208X16 V2020AX-208X20 V2020AX-208X24V2020AX-208X28 V2020AX-208X32 V2020AX-224X4 V2020AX-224X8 V2020AX-224X12 V2020AX-224X16V2020AX-224X20 V2020AX-224X24 V2020AX-224X28 V2020AX-224X32 V2020AX-240X4 V2020AX-240X8 V2020AX-240X12 V2020AX-240X16 V2020AX-240X20 V2020AX-240X24 V2020AX-240X28 V2020AX-240X32V2040AX-16X4 V2040AX-16X8 V2040AX-16X12 V2040AX-16X16 V2040AX-16X20 V2040AX-16X24V2040AX-16X28 V2040AX-16X32 V2040AX-32X4 V2040AX-32X8 V2040AX-32X12 V2040AX-32X16V2040AX-32X20 V2040AX-32X24 V2040AX-32X28 V2040AX-32X32 V2040AX-48X4 V2040AX-48X8V2040AX-48X12 V2040AX-48X16 V2040AX-48X20 V2040AX-48X24 V2040AX-48X28 V2040AX-48X32V2040AX-64X4 V2040AX-64X8 V2040AX-64X12 V2040AX-64X16 V2040AX-64X20 V2040AX-64X24 V2040AX-64X28 V2040AX-64X32 V2040AX-80X4 V2040AX-80X8 V2040AX-80X12 V2040AX-80X16 V2040AX-80X20V2040AX-80X24 V2040AX-80X28 V2040AX-80X32V2040AX-96X4 V2040AX-96X8 V2040AX-96X12 V2040AX-96X16 V2040AX-96X20 V2040AX-96X24 V2040AX-96X28 V2040AX-96X32 V2040AX-112X4 V2040AX-112X8 V2040AX-112X12 V2040AX-112X16 V2040AX-112X20 V2040AX-112X24 V2040AX-112X28V2040AX-112X32 V2040AX-128X4 V2040AX-128X8 V2040AX-128X12 V2040AX-128X16V2040AX-128X20 V2040AX-128X24 V2040AX-128X28 V2040AX-128X32 V2040AX-144X4V2040AX-144X8 V2040AX-144X12 V2040AX-144X16 V2040AX-144X20 V2040AX-144X24V2040AX-144X28 V2040AX-144X32 V2040AX-160X4 V2040AX-160X8 V2040AX-160X12V2040AX-160X16 V2040AX-160X20 V2040AX-160X24 V2040AX-160X28 V2040AX-160X32 V2040AX-176X4V2040AX-176X8 V2040AX-176X12 V2040AX-176X16 V2040AX-176X20V2040AX-176X24 V2040AX-176X28 V2040AX-176X32 V2040AX-192X4 V2040AX-192X8V2040AX-192X12 V2040AX-192X16 V2040AX-192X20 V2040AX-192X24 V2040AX-192X28V2040AX-192X32V2040AX-208X4 V2040AX-208X8 V2040AX-208X12 V2040AX-208X16 V2040AX-208X20 V2040AX-208X24V2040AX-208X28 V2040AX-208X32 V2040AX-224X4 V2040AX-224X8 V2040AX-224X12 V2040AX-224X16V2040AX-224X20 V2040AX-224X24 V2040AX-224X28 V2040AX-224X32 V2040AX-240X4 V2040AX-240X8V2040AX-240X12 V2040AX-240X16 V2040AX-240X20 V2040AX-240X24 V2040AX-240X28 V2040AX-240X32V2040AX-256X4V2040AX-256X8 V2040AX-256X12 V2040AX-256X16 V2040AX-256X20 V2040AX-256X24V2040AX-256X28 V2040AX-256X32A2011X-16X5 A2011X-32X5 A2020X-16X4 A2020X-16X8 A2020X-16X12 A2020X-16X16 A2020X-16X20 A2020X-16X24 A2020X-16X28 A2020X-16X32 A2020X-32X4 A2020X-32X8 A2020X-32X12 A2020X-32X16 A2020X-32X20 A2020X-32X24 A2020X-32X28A2020X-32X32 A2020X-48X4 A2020X-48X8 A2020X-48X12 A2020X-48X16 A2020X-48X20A2020X-48X24 A2020X-48X28 A2020X-48X32 A2020X-64X4 A2020X-64X8 A2020X-64X12A2020X-64X16 A2020X-64X20 A2020X-64X24 A2020X-64X28 A2020X-64X32 A2020X-80X4A2020X-80X8 A2020X-80X12 A2020X-80X16 A2020X-80X20 A2020X-80X24 A2020X-80X28A2020X-80X32 A2020X-96X4 A2020X-96X8 A2020X-96X12 A2020X-96X16 A2020X-96X20 A2020X-96X24 A2020X-96X28 A2020X-96X32 A2020X-112X4A2020X-112X8 A2020X-112X12 A2020X-112X16 A2020X-112X20 A2020X-112X24A2020X-112X28 A2020X-112X32 A2020X-128X4 A2020X-128X8 A2020X-128X12 A2020X-128X16 A2020X-128X20 A2020X-128X24 A2020X-128X28 A2020X-128X32A2020X-144X4 A2020X-144X8 A2020X-144X12 A2020X-144X16 A2020X-144X20 A2020X-144X24 A2020X-144X28 A2020X-144X32 A2020X-160X4 A2020X-160X8 A2020X-160X12 A2020X-160X16 A2020X-160X20 A2020X-160X24 A2020X-160X28A2020X-160X32 A2020X-176X4 A2020X-176X8 A2020X-176X12 A2020X-176X16 A2020X-176X20A2020X-176X24 A2020X-176X28 A2020X-176X32 A2020X-192X4 A2020X-192X8 A2020X-192X12 A2020X-192X16 A2020X-192X20 A2020X-192X24 A2020X-192X28 A2020X-192X32 A2020X-208X4 A2020X-208X8。

Destaco 自动化产品型号说明说明书

EXPRESS DELIVERY FOR WORLD-CLASS AUTOMATION PRODUCTS GRIPPERS • ROTARIES • SLIDESTOOL CHANGERS • ESCAPEMENTSElectric GripperLinear SlidesEscapementsRotary Actuators Tool ChangersTool ChangersProduct Name Lead Time: 3-Day 10 Day Consult Factory xG100 Series All Models, All SizesDPDL Series MetricOnlyDPDL-047M-038DPDL -056M-050DPDL-125M-100-B, -E, -V option-CR, -S option,Imperial UnitsDPDS Series MetricOnly DPDS-047M-013 (-B)DPDS-056M-019 (-B)DPDS-088M-025 (-B)DPDS-125M-038 (-B)DPDP-250M-075 (-B)-V option-CR, -S option,Imperial UnitsDPG Series Imperial/Metric DPG-10(M)-1 (-C, -O)DPG-10(M)-2 (-C, -O)DPG-10(M)-3 (-C, -O)DPG-10(M)-4 (-C, -O)-LF, -RF, -NS, -Voption-T option,DPP Series Metric Only DPP-10M-06 (-C)DPP-10M-12 (-C)DPP-14M-15 (-C)DPP-20M-25 (-C)-NS, -V optionRP Series Imperial/MetricRP-5 (M) (-V)RP-10 (M) (-V)RP-11 (M) (-V)RP-12 (M) (-V),RP-15 (M) (-V)RP-17 (M) (-V)RP-18 (M) (-V)-D, -FS, optionRP-P Series Imperial/MetricRP-25P (M)RP-50P (M)RP-100P (M)-V optionRPS Series Imperial/Metric(select models)RPS-11RPS-12 (M) (-C)RPS-17 (M) (-D) (-C)-O, -V optionRPL Series Imperial/Metric RPL-1 (M)RPL-2 (M)RPL-3 (M)RPL-4 (M)-NS, -V optionRPLC Series Imperial/Metric RPLC-1 (M)RPLC-2 (M)RPLC-3 (M)RPLC-4 (M)-NS, -V optionRPM Series MetricOnly RPM-1MRPM-2MRPM-3M-V optionRPMC Series MetricOnly RPMC-1MRPMC-2MRPMC-3M-V optionStandard Product Lead Time with OptionsLead Time: 3-Day 10 Day Consult FactoryDPE-200 Series MetricOnly DPE-200-25N/A N/A Electric Parallel Grippers2-Jaw Parallel GrippersLead Time: 3-Day 10 Day Consult FactoryRTH Series Metric Only RTH-1M (-L)RTH-2M (-L)RTH-3M (-L)RTH-4M (-L)RTH-5M (-L)RTH-6M (-L)-C, -O, -SP-V2-Jaw Heavy-Duty Parallel Grippers3-Jaw Parallel GrippersLead Time: 3-Day 10 Day Consult FactoryDCT Series Metric Only DCT-12MDCT-16M-RE, -V option-SD, -BRRA Series Imperial/Metric(select models)RA-5 (M)RA-6 (M)RA-10RA-15RA-90-V option All other modelsAngular Grippers Lead Time: 3-Day 10 Day Consult FactoryDPW Series Metric Only DPW-250M-2 (-W)DPW-375M-1 (-W)DPW-375M-2 (-W)DPW-500M-1 (-W)DPW-500M-2 (-W)-NS, -V optionRPW Series Metric OnlyRPW-250MRPW-375M-1RPW-375M-2RPW-500M-1RPW-500M-2RPW-625M-1RPW-625M-2RPW-750M-NS, -V option Imperial UnitsRPR Series Metric Only RPR-200Feed EscapementsLead Time: 3-Day 10 Day Consult FactoryRFE Series Metric OnlyRFE-11MRFE-12MRFE-13M-V option-T optionImperial Units Lead Time: 3-Day 10 Day Consult FactoryRR Series Light Duty Imperial/Metric(select models)RR-18-45 (-90) (-180)RR-28-90 (-180)RR-36M-90 (-180)RR-46M-90 (-180)-S, -V option-M (size 36 & 46 units)-CR, -T Option,Other ModelsRR SeriesMedium Duty Metric Only RR56M-180-A-MRR66M-180-A-MRR76M-180-A-M-45, -90,-S, -V option Imperial ModelsRotary ActuatorsLinear SlidesLead Time: 3-Day 10 Day Consult FactoryDLB Series Imperial Only DLB-10-B (-L)-B (-C)DLB-12-B (-L)-B (-C)DLB-16-B (-L)-B (-C)-U option-T, -A,-N,-R, -S, -V options,Metric unitsDLT Series Metric OnlyDLT-08M-B-CDLT-10M-B-B (-C)DLT-12M-B-B (-C)DLT-16M-B-B (-C)-E, -L, -U options(for 3 day Xpress items)DLT-20M-B-B,DLT-25M-B-B-B (08 bearing),-T, -A,-N, -R, -S, -VoptionsDLM Series Metric Only DLM-07M-25DLM-09M-50DLM-12M-25-D, -P options Consult factoryfor other SizesMPS Series Imperial Only MPS-1-1 (-2) (-3) (-4)MPS-2-1 (-2) (-3) (-4)-V optionTool ChangersLead Time: 3-Day 10 Day Consult FactoryRHC Series NPT Ports Only RHC-1M-RRHC-1M-TRHC-2M-RRHC-2M-T-V option All other modelsRQC Series NPT Ports OnlyRQC-200NRQC-400NRQC-800N-LO, -CD, -CPLock Sensing,-E19, -FN ModulesBSPP, BSPTport optionsAll other optionsand modulesRTP Series NPT Ports OnlyRTP-200RTP-400RTP-800-E19,-FN ModulesAll other optionsQC Series NPT Ports OnlyQC-30-E15QC-60-E15QC-150-E15-E26 Module(QC60/QC150 model)E10, E12, -10P,All other optionsTP Series NPT Ports OnlyTP-30-E15TP-60-E15TP-150-E15All other options3 DAYWorkholding •Widest variety of workholding products •High durability and reliability•Flexible solutions for all applications •Custom products for unique requirementsAutomation•Broad 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新教材高中数学课时练6二项式定理课件新人教B版选择性必修第二册ppt全

2n＋1－1 )＝
n＋1
.
(2)当 q＝n 时，ar＝Crn nn－r，所以 a0＝nn，a1＝nn，所以 An＝nn＋1，令 x＝1，得 Bn＝n＋1 n ，当 n＝1，2 时，nn＋1<n＋1 n ；当 n≥3 时，nn＋1>n＋1 n ，即 n>1n＋1 n . 下面先用数学归纳法证明：当 n≥3 时，n>n1＋1 n ，……(☆) ①当 n＝3 时，3>31＋1 3 ＝2674 ，(☆)式成立；
2．设q＋x n ＝a0＋a1x＋a2x2＋…＋arxr＋…＋anxn，其中 q∈R，n∈N*.
n
(1)当 q＝1 时，化简：
r＝0
ar r＋1
.
(2)当 q＝n 时，记 An＝na0＋2 a1
n
，Bn＝ a
r，试比较 An 与 Bn 的大小．
r＝0
【解题指南】(1)当 q＝1 时，ar＝n＋1 1 ·Crn＋＋11 ，从而得到结果． (2)当 q＝n 时，由二项式定理可得 An＝nn＋1，Bn＝n＋1 n ，猜想、归纳，用数学归纳法加以证明即可．
②设 n＝k≥3 时，(☆)式成立，即 k>k1＋1 k ，
则 n＝k＋1 时，(☆)式右边＝k＋1 1＋1 k＋1
＝k＋1 1＋1
1 ＋1 k＋1
k
<k＋1 1＋1
1k＋1
k
<k＋1 1＋1
·k＝ k k＋1
＋k<k＋1.
也就是说，当 n＝k＋1，(☆)式也成立．
综合①②知，当 n≥3 时，n>n1＋1 n .
A．8 B．10
C．12
D．1
【解析】选 A.(x－2)(x＋2)5＝(x2－4)·(x＋2)4，所以(x＋2)4 的展开式中 x3 的系数为

广东省2025届高三上学期9月份联考数学试卷(含解析)

广东省2025届高三上学期9月份联考数学试卷学校：___________姓名：___________班级：___________考号：___________一、选择题1．已知命题,;命题,是质数,则( )A.p ,q 均是真命题 B.,q 均是真命题C.p ,均是真命题D.,均是真命题2．已知曲线过抛物线的焦点,则C 的准线方程为( )A.C. D.3．已知是关于x 的方程的一个根,则( )A.-1B.0C.1D.204．已知半径为3,高为1的圆锥底面圆周上的点和顶点均在球O 的表面上,则球O 的体积为( )A.5．已知数列满足,则( )6．在中,内角A ,B ,C 的对边分别为a,b,c ,已知,则外接圆的半径为( )7．已知( )A.C.-1D.-28．若则的最小值为( )A.二、多项选择题:p x ∀∈R sin 10x +>:q x ∃∈Z 21x +p ⌝q ⌝p ⌝q ⌝()2024log 3y x =-2:C y mx =x =4y =-4x =-14y =-2i -()20,x ax b a b -+=∈R a b -=125{}n a ()123232n a a a na n n ++++=+ 66a =ABC △a =()(()sin sin sin sin A B b c B C -+=+ABC △0βα<<<()αβ-=cos αβ=1tan β-=310()2281ln 18ln 1,33x x f x x ⎛⎫=+-+ ⎪⎝⎭()f x 1e +9．对于函数和,则( )A.与的零点相同B.与的最小值相同C.与的最小正周期相同D.与的极值点相同10．已知正数a ,b 满足,则( )A. B. C. D.11．某箱中有若干个编号依次为1,2,的球,每个球除编号外完全相同.现从箱中每次不放回地取一个球,若第m 次取出球的编号为n ,则记为,则下列说法正确的是( )A.若,则B.若C.若和事件相互独立D.若和事件相互独立三、填空题12．已知,,若,则_____________.13．已知二项式的展开式中的常数项为-20,则______________.14．已知椭圆与圆点,其中,则m 的最大值为____________.四、解答题15．已知某批矿物晶体中含有大量水分子,且经过测量发现其中轻水分子,重水分子,超重水分子的比例为.(1)现利用仪器从一块矿物晶体中分离出3个水分子,用频率估计概率,求至少分离出2个轻水分子的概率;()2024sin3f x x =()π2024sin 33g x x ⎛⎫=- ⎪⎝⎭()f x ()g x ()f x ()g x ()f x ()g x ()f x ()g x ()e 1ln 1a b -=2e e b <<1e 2ea a +>e a b >e ln 1a b -> ()3k k ≥,m n X ()2,10P X =()1,21P X =()2,1P X =()2,229X =()3,1P X =1,1X 2,2X ()3,1P X =1,2X 2,3X ()1,3a =- (),1b t =()()//2a b a b +- t =6b ax x ⎛⎫- ⎪⎝⎭ab =()22122:10x y C a b a b +=>>222:C x y ⎛+= ⎝222c a b =-22a m b+>6:3:1(2)从一块矿物晶体中分离出10个水分子,其中轻水分子的个数有6个,然后再从这10个水分子中随机分离出3个水分子来进行后续的实验,记这3个水分子中轻水分子的个数为X ,求X 的数学期望.16．已知首项为1的等差数列的公差为2,又数列满足.(1)求数列的前n 项和;(2)在中,内角A ,B ,C 的对边分别为a,b,c ,且,面积的最大值.17．如图,在正四棱台中,,,,棱上的点E 满足取得最小值.(1)证明：平面;(2)在空间取一点为G ,使得,设平面与平面的夹角为,求的值.18．已知双曲线（，点F 到该渐近线的距离为(1)求C 的方程；(2)若过F 的直线与C 的左、右支分别交于点A ，B ，与圆交于与A ，B 不重合的M ，N 两点.（ⅰ）求直线斜率的取值范围；1n a ⎧⎫⎨⎬⎩⎭{}n b 1n n n b a a +=⋅{}n b n T ABC △492a T =A =ABC 1111A B C D ABCD -1144AB A B ==13BB =4DB DF =1B B AE EC +1//B F AEC 1//AG C C AGE 11BDD B θcos θ2222:1x y C a b-=0a >b >222:O x y a +=AB19．已知函数,.(1)证明：当时,曲线对称;(2)若P 为曲线,的公共点,且,在P 处存在共同的切线,则称该切线为,的“优切线”.若曲线与曲线存在两条互相垂直的“优切线”,求,的值.()212f x a x a =+()()sin g x f x x x =-1233a a ==()():3lgC y x f x =++)1,8-1C 2C 1C 2C 1C 2C ()y g x =cos y x =-1a 2a参考答案1．答案：B 解析：易知当时,可得,此时,即命题p 为假命题,所以命题为真命题;当时,是质数,所以命题q 为真命题.因此,q 均是真命题.故选：B.2．答案：C解析：易知函数过x 轴上定点,即为C 的焦点,故C 的准线方程为.故选：C.3．答案：A解析：因为是关于x 的方程的一个根,所以,所以,因为a ,,所以,所以,所以.故选：A.4．答案：D解析：设球O 的半径为R ,结合圆锥的轴截面可得：,解得,所以球O 的体积为.故选：D.3π2x =sin 1x =-sin 10x +=p ⌝1x =212x +=p ⌝()2024log 3y x =-()4,04x =-2i -20x ax b -+=(),a b ∈R ()2(2i)2i 0a b ---+=()()234i 0a b a -+++-=b ∈R 23040a b a -++=⎧⎨-=⎩45a b =⎧⎨=⎩1a b -=-2223(1)R R =+-5R =34π3V R ==500π35．答案：B解析：由题意可得①,所以时,②,①-②得,所以,所以故选：B.6．答案：A解析：因为,所以,由正弦定理,可得,即,所以又因,所以.故选：A.7．答案：D解析：因为,,故.故选：D.8．答案：B解析：的几何意义是点与函数()123232n a a a na n n ++++=+ 2n ≥()()()123123111n a a a n a n n -++++-=-+ 21n na n =+()212n n a n n +=≥66a =a =)(()sin sin sin sin A B b c B C -=+()()sin sin A B a b -+=()sin sin c B C +()()()a b a b c b c -+=+222a b c bc =++222cos 2b c a A bc +-==()0,πA ∈A =ABC 1==()cos αβ-=βα<<<π2αβ<-<()sin 0αβ∴->()sin αβ-==()cos cos cos sin sin αβαβαβ-=+=sin αβ=1tan β-=()3sin cos cos cos sin cos sin 523sin sin sin sin sin sin 10βααβαββααβαβαβ----====-()2281ln 18ln 133x x f x x ⎛⎫=+-+= ⎪⎝⎭229ln 13x x ⎛⎫+-⎪⎝⎭()0,1A距离的平方,即,,在上有解,令,当,恒成立,所以在上至多存在一个零点,因为,所以在上存在一个零点3,所以取得最小值为.故选：B.9．答案：BC解析：A 选项,令,解得,令,解得,,显然,零点不同,A 选项错误;B 选项,显然,B 选项正确;C 选项,根据周期公式,,D 选项,对令,对令,显然,的极值点不同,D 选项错误.故选：BC.10．答案：BCD()9lng x =,9ln 3x B x ⎛⎫ ⎪⎝⎭()2||f x AB =()AB g x '⋅=-91x=-9ln 103x +-=()0,+∞()29ln 193x x h x =+-()0,x ∈+∞()2909x h x x='+>()h x ()0,+∞()30h =()h x ()0,+∞2||AB 22(1)310-+=()2024sin30f x x ==x =∈Z ()π2024sin 303g x x ⎛⎫=-= ⎪⎝⎭ππ39k x =+k ∈Z ()f x ()g x min min ()()2024f x g x ==-()f x (g x ()f x 3πx k =3πk x =∈Z ()g x π3π3x k -=+π3k x =+∈Z ()f x ()g x解析：对于A 中,因为,可得,又因为,可得,解得,所以A 不正确;对于B 中,由,则,则,当且仅当时,等号成立,因为所以,所以B 正确,对于C 中,由函数,可得,当时,,单调递减;当时,,单调递增,所以,则,即,当且仅当时,等号成立,因为时,因为,可得,所以,即,所以C 正确;对于D 中,由,所以,可得,所以D 正确.故选：BCD.11．答案：BC解析：对于A,若,则只可能第1次取出的球编号为1,故,,错误;对于B,若分情况讨论：若第1次取编号为2的球,第2次取编号为1号或3号或4号球,共3种情况;若第1次取编号为3的球,第2次取编号为1号或2号或4号球,共3种情况;若第1次取编号为4的球,第2次取编号为1号或2号或3号球,共3种情况,总计9种情况,第2次取编号为2的球的情况共2种,故对于C,若故,,满足,故C 正确;0a >101e a <<1ln b -=1ln 1b <-<0ln 1b <<1e b <<0a >e 1a >1e 2e a a +≥=e a =0=0a >，1e 2eaa +>()e 1x f x x =--()e 1x f x '=-0x <()0f x '<()f x 0x >()0f x '>()f x ()min ()00f x f ==()e 10x f x x =--≥e 1x x ≥+0x =0a >()e 1ln 1ab -=1ln e 1a b a --=>-+ln a b >e a b >1ln e a b --=e 1ln e e 2a a a b -+-=+>e ln 1a b ->()2,10P X =()1,11P X =()1,20P X =()2,1P X =()2,2P X =()3,1P X =()1,10P X =()1,12,20P X X =()()()1,12,21,12,2P X X P X P X =对于D,若前两次可取的只能为编号为2号或3号或4号或5号球.,且而第2次取球需分情况讨论：若第1次取编号为3的球,第2次取编号为2号或4号或5号球,共3种情况;若第1次取编号为2的球,第2次取编号为3号或4号或5号球,共3种情况;若第1次取编号为4的球,第2次取编号为2号或3号或5号球,共3种情况;若第1次取编号为5的球,第2次取编号为2号或3号或4号球,共3种情况,总计12种情况,第2次取编号为3的情况共3种,故,故D 错误.故选：BC.12．答案：解析：,,则,,由,所以,解得故答案为：13．答案：1解析：由题意可知展开式的通项为,令,解得,可得,即.故答案为：1.解析：在得,,所以与x 轴的交点为的焦点,()3,1P X =()1,22,3114311C C 12P X X ==()1,2P X =()2,3P X =()()()1,22,31,22,3X X P X P X ≠13-()1,3a =- (),1b t = ()1,2a b t +=+- ()22,7a b t -=--()()//2a b a b +- ()()71220t t -++-=t =6662166,0,1,C (),()6C 2,kk kk k k kk b T ax a k b x x ---+=⎛⎫=-⋅=⋅- ⎪⎝⋅⎭⋅620k -=3k =36333346C ()2020T ab a b -=⋅-=-=-1ab =22x y ⎛+-= ⎝0y =x c =±2C 1C在同一坐标系中作出,,即,则,当时,,单调递增,则.解析：(1)设事件“至少分离出2个轻水分子”,由题意知分离出1个轻水分子的概率为所以(2)因为分离出10个水分子,其中轻水分子有6个,则重水和超重水分子个数共有4个,随机变量X 的所有可能取值为0,1,2,3,则1C C b ->223c b >223b b a ->2>(t t =>()222a f t t b +==+()212f t t t =-='2t >()0f t '>()f t ()2m f ≤=M =63105==()2130233332325427C C 5555125P M +⎛⎫⎛⎫⎛⎫⎛⎫=⨯+⨯== ⎪ ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭⎝⎭()0364310C C 40C 120P X ====故16．答案：(1)解析：(1)由题意知,公差,则,(2)由题意可得,由余弦定理得：,,即,即17．答案：(1)证明见解析解析：(1)在等腰梯形中,因为,,所以()1264310C C 361C 120P X ====()2164310C C 602C 120P X ====()3064310C C 203C 120P X ====()13110123301026E X =⨯+⨯+⨯+⨯=21n nT n =+1n a ⎧⎨⎩1=2d =，121n n a ∴=-n a =111122121n n n a a n n +⎛⎫=⋅=- ⎪-+⎝⎭11111111121323522121n T n n ⎛⎫⎛⎫⎛⎫∴=-+-++- ⎪ ⎪ ⎪-+⎝⎭⎝⎭⎝⎭1111111111213352121221n n n ⎛⎫⎛⎫=-+-++-=-= ⎪ ⎪-++⎝⎭⎝⎭ 4922a T ==222222cos a b c bc A b c bc =+-⋅=++22243a b c bc bc ∴==++≥bc ≤c ==14sin 23ABC S bc A ∴==≤=△ABC △11AA B B 1144AB A B ==13BB =11112cos AB A B ABB BB -∠==1ABB =将侧面与侧面沿着展平到同一个平面内,连接,如图,可得当且仅当时,取得最小值,此时,设与交于O ,再连结,因为,所以,所以,因为平面,平面,所以平面,(2)设上底面的中心为,则,,两两垂直,分别以直线,,为x ,y ,z 轴建立空间直角坐标系,在直角梯形中得,11AA B B 11BB C C 1B B AC 1cos 2BE AB ABB =∠=AE EC +113BB EB = AC BD EO 4DB DF =3BF OF = 1//B F EO 1B F ⊄AEC EO ⊂AEC 1//B F AEC 1O OA OB 1OO OA OB 1OO Oxyz 11OBB O 1OO ==显然平面的法向量为,,,,,所以,不妨设,设平面的一个法向量为,所以,不妨设,所以；(2)（ⅰ）；（ⅱ），，，所以右焦点所以，.（2）（ⅰ）由（1）知，，设，，由题意可得直线的斜率存在且不为零，设直线的方程为，联立得，所以，，11BDD B ()11,0,0n = ()A 1C ⎛ ⎝()C -(E (AE =- 1C C ⎛= ⎝ ()13,0,3AG C ==--AEG ()2,,n x y z = 0330x z ⎧-=⎪⎨--=⎪⎩()21,3,1n =-- 1212cos n n n n θ⋅===2112y -=⎛⎫⎛ ⎪ ⎪ ⎝⎭⎝ (0,16)==0y -=2a =(2F a 0y -==2a =b =2112y =(4,0)F ()11,A x y ()22,B x y AB AB 4(0)x my m =+≠2112y -=()223124360m y my -++=2310m -≠()2Δ14410m =+>12y y +=12y y =又A，B两点在x轴同一侧，所以.此时，即又圆O的方程为，点O到直线的距离由得，由得，所以因为直线的斜率斜率的取值范围是.由垂径定理得，其中，设，，，所以的取值范围是.19．答案：(1)证明见解析(2)解析：(1)当时,12y y>2310m->2m>224x y+=AB d=2d<23m>221,33,mm⎧>⎪⎨⎪>⎩23m>m><AB k=AB⎛⎫⎛⎪⎪⎝⎭⎝2y-===||MN==()2212131mMNm+==-23m>231t m=-8t>(0,16) MN===||||AB MN⋅(0,16)()1224ππa k ak=∈=+Z，1233a a==令即,定义域为,所以,即所以曲线对称.(2)设曲线与曲线的两条互相垂直的“优切线”的切点的横坐标分别为,,其“优切线”的斜率一定存在,分别设为,,则,因为,所以,不妨设,则,,,,因为,由“优切线”的定义得,,所以,同理,化简得,,因为曲线上的点也在曲线上,,所以.所以,.()()()23233lg 3392x h x x x x x x x =+++=+++++()3(1)lg82xh x x x =++++()(),20,-∞-+∞ ()()331111()lg 8lg 811x x h x h x x x x x ---+⎤⎛⎫⎡--+-+=-+++++= ⎪⎣⎥-++⎦⎝⎭3311()lg lg 161611x x x x x x +-⎛⎫⎡⎤-++++= ⎪⎣⎦-+⎝⎭()()1116h x h x --+-+=，()():3C y x f x =++)1,8-()y g x =cos y x =-1x 2x 1k 2k 121k k =-(cos )sin x x -='1212sin sin 1x x k k ⋅==-1sin 1x =()1π2π2x k k =+∈Z 1cos 0x =2sin 1x =-2cos 0x =()11111112sin cos k g x a x x x x ==--'1111112sin cos sin a x x x x x --=()11124ππa k x k ==∈+Z 1a =21x =-120x x +=cos y x =-()11,cos x x -()y g x =211121sin cos x x x a x -+=-20a =()124ππa k k =∈+Z 20a =。