已只a>0,b>0,且h=min{a,b/a^2+b^2],求证h<=(根号2)/2
已知a>0,b>0,且h=min{a,b/(a²+b²)},求证：h≤√2/2
a²+b²≥2ab--->a×b/(a²+b²)≤1/2
--->h = min{a,b/(a²+b²)}≤√(1/2) = √2/2
楼主太粗心了，还没有把问题写完整呢！！！
等待中………………
不用那么的复杂，其实就是a^2+b^2&=2ab式子的转化
a,b 同号不相等且 不等于0
你好；min是最小值、最小的意思
min是最小值、最小的意思
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数学中常用到
同时在书写单位的时候，min代表 分钟。
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AK550abmSGA33/4D63B-4 0.25KW Nr.D TNr.H& /00 M12x1.5EKK EKK_18.010-CU57BH& DA09S-0062&&&&schmalz 10.02.02.02330/5S& VF050.02X.50.30LARexroth ,NG10（0-10V）Sitec Nr. 711.0289NADELLA FS40M/530/SB/NWI& FRS-G50&& PCPC/24& i=28& SN:100301SIEMENS 1FK-1AA0burkert 141246??Dunkermotoren& GR 63X25 SNR.+SG80 SNR.& puyun NR.&I& Mechanic screw driver Juwel-02&0/CABLE E-MO-113I& 3-PHASE K21R 280S 4 LL TWS No.: 157727BRINKMANN TYPE:TE 50/350-XZ NO.-H& RINA GE30-KRR-BH& M220-Eberle Design Inc. （EDI） LMA-1250-LVH& No.0204056HAZET 801U-70kollmorgen AKM43E-BKC2R-00AEG LS 220KLINK 114-00044I& KSD1-16 driverUL & BEP-510C-B4DEVILBISS VAVLE KIT/PRO-402-KS& D32001 DP113 Ze Si KL K12775Barksdale I& TG32-78/55 400KOBOLD DAF-1303HRomheld S& MP44A-Z9/B10TK-A1/130 380V/50HZ 5.4A 2.2KW 1450 1/minH& Z4V7H 335-11Z-RVA-2654H& A105/SCHM.A105H& butterfly valve EVBS BAR DN65/PN16,24VDC（PCC Wouter Witzel）&&Heidenhain IDBraun GmbH E1655.51HAWE PSL 31 F/350-3 -38 L 40/80 /EA -32 L 40/25 /EA -32 L 25/25 /EA -32 L 16/16 /EA -32 L 10/10 /EA -32 L 40/40 C 150 /EA -E 1-G 24H& XN96VDH3S&&RINCK ELECTRONIC GMBH LF8REXROTH VT11006LEE RCFA1875100DIMT GmbH Dress 33-11 Art.-Nr.FROMM& A33.2152H& CR 5-22 A-FGJ-A-V HQQV; 400V/50Hz& Nr. &S& HKR GR.48,963.ARGO-HYTOS RM7-063Z11/30-24E0201S& HOG 10 DN 1024I SerNr.2300863AgilentN2791AI& IPC 704 PN:244-704-000-042-A2-B01-100pc/g-50uA/g-E5-F20000-GSCHROFF 3&APLSP6B0Leroy Somer fan for NO.DKRACHT KF80LG1-/197-D25/GJSH& TMC-1-M1-1OO-4.0bender AGH520S/B913033S& HTS50-12CEJN
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17:59:00& 否 I& PTXBAR absEA power supply USB interface for EA power supplySTAHL Eexi for BLH 404 Load Cell&&& 6VS& HF-CNTL-IND-02H& RSM-RKC572-4MI& 1-Component Force SensorMeasuring Range Fz: 0 ... 15 kN- Dimensions DxdxH （mm）: 14,5x6,5x8- Connector: KIAG 10-32 neg.Included Accessories:- Mounting Set Type 1AH& DBAW30AH2-23/200-6EG24N9K4A08H&& AN1V1A7002691H& 6SE-2FA0S& 686--&P10H& 4WE6E6X/EG24N9K4KTR \IR400-U-A01-02-02-02-02-02-T1\-30~160& \KTRPeiseler MT 500/e KFZ-FK Part no.1282H& BTL5-T110-M0360-P-S103S& K145AX-Cjahns MTC-2-1-6-A180 2GS- D0-I& CERAVAC CTR100 230301RECHNER KS-250-M22IFM K15-BB0A/N1KROMSCHROEDER DM65 Z50-40,P=101.325Kpa,T=393.15K,6-100,ebm-papst& D2E160-AB01-06-01H& 6SE-0AA0BEE& AKP87E-1/2"-DAD32NMEMOTEC GmbH LF-0-S02005-M-LH/200I& 450N6*7SIEMENS& 6SL-7UA0I& 18.1701W. Gessmann GmbH S22-3Z-A06rexroth VT-VSPA2-1-11A/T1I& 462.46I& ARO piston pump F-C gas motor pistonApex Simrit& V6-637& 215*60I& 60VB00493 inverter drive boardH& 4WRZ16W8-150-7X/6EG24N9ETK4/M&&L+B GEL260-V-ODU 190.234.700.207.000NSK 6205&E62.G14-503G10& MKP 50uF&10%& Un 800V DC/640V AC -25℃--+85℃&S& HKR75/963.&S& HD30-AS-150FAG B7002C.T.P4S.ULAKO Armaturen & Separations GmbHVF065.03X.31.30LAGeorg Schlegel GmbH & Co. KG RVAT_DGSTROMAG 29HGE-590FV-A1L Parker PV270R1L 1M1NUPM& 5899Rexroth RDrumag QS& 750-432ZIEHL-ABEGG motor/1,95KW|AXIALFAN1,95KW|GR40C-ZID;S& CGT0.01.97spinea Ts 170 141 EKINEMATICA 00.S7JANE DP-2113VICKERS DG4V-3-2A-MUH7-60S& RS& 1SAR 700 002 RH& 4WS2EM10-51/10B11ET315K8EV&&H& 24PPRS& 10A59-4466TT BWA BWA&MAYR 8 200 911Parker 3781050MAFAG DA225-F160/I-46/MAMUR 97191HAHN+KOLB A / D boardUTS-H& ID.558 461 02& LC 183 L=20MH& Y-2951W-MK.0077pompetravaini Impeller for TRMX 257/1-C/RX/SP-XF NR DD061I& BAFUDX7 45|60*8 A，DIN3760,NBR70ege KFC20108 CS20108 PNP No.200mAH& 413.9I& 9211BSP0.5S& DRS-315-A75-B-0-K-X-A60 ohne SpurlH&& DRE 6-10/100MG24K4M&S& AB31-13/100-016BAR/MPAKOEBO ROLLER CHAIN 11/2"-1"1-FACH 24B-1 L=3390.9 , P=38,1;B1=25,4;D1=25,4（DIN8187）S& PP151430&& filtertopf No.151547H& DB30-60F0-0000I& C2/1TH+L KSR-KUEBLER BNA-25/16/C-MG-M -MRA-ZVSS 200/R48HI& DTMB-2000I& FRN 32 E1I& FRA32B06BNFD01W& Drawing No.DIS.456-068/DIS.456-071HYDRAFORCE SV10-41M-0-N-24DGAMOT 4140DRIVOOCG3-EENORD SK 515E-182-340-AHARTING 1Thielmann DA-2000 EETA ETA3400-iG8-P10:0.8AAEGTHYRO-A 2A400-170& H RL1/SIEMENS 7MLH& I& IT01Eamtec K-531.392.620N,F=606Kn,M=20Nm,lp=480bar& VCP3299& 48VDC& CROSS LED（RED+GREEN）OSRAM SPL2F81-2SS& MK-PVBG2K1140H& LC193F-1440（Id.Nr.）H& 3HAChawe EM 31 S-1/2-G 24Legris The threaded quick connector 6-R3 / 8S& AZFIBRO& 52.55.3. 20004ATOS RZM0-TERS-PS-030/210/I + E-RI-TERS-PS-01H/I 30/BM003AAKO5/4"S& PA D=100/60,2*10,D=100/60I& WBG-M64&H& REM-AB-192T-21-NNNN& 030AYI& S.A.T. 16BG 220-4AA-225S;No 10/WIKA ECO-1 0-16BAR 4-20MA DC10-30VHeidenhain ERN ID??BOSCH KTR COUPLING/ROTEX GS14 98SHA-GS 6.0-8/6.0-14Schiederwerk EVG 2-15AC 12 KZW L order-no. 32 368 1000EDAG ZA-08-30.30-17S& 065Z0259S& VENTILTOESSEL RAM/Part no.5000486 （used to auto filter/type 6.61.1 DN100）&Drescher Drescher Basic boardH& 3VU1340-1MNOOKUKA ROBOT CI-Board standard 3.0 127754&50A 700V 30KA 5020106&MICROSCAN FIS-G,MICROSCANHetronik HCM100-HN-12S& PMW160Z24PF-A200-PD2010Z i=11.422.8kw& NO:44Z6/1&Heidenhain 60645-01VIPA IM253-1DP00H& A7V355LV5.1RP F0D/67 No.Rechner KAS-80-M16-2-K-PEEK-Y3-3G-3D KA0403H&& L108297 for pump& KD813&& 93-HY251938-TS& EEPDRS& 3-08-175-1-24VS& S& 40.S& DC-COM5-500 H4V1 4mH& RK44 PN16 DN20JAHNS& JPSM-WPC-65JANE& IME NEMO96-I MF3BBTOOO56& MULTIFUNCTION METER751330ENERPAC MRH-20;300846S& XS 80 B2 0939KROHNE Messtechnik GmbH OPTIFLUX4000F,DN40,HC PN40（Integrated）H& CDB1CSCHMIDBAUER 3AC-SPARTRANSFORMATOR A DASKnoll KTS 50-120-T5-G-KB（Including 15.0KW/380V motor, coupling, frame）370.4L/MIN 15BAR& 05-SA25P01-03KUHNKE 39.232004RUTSCHI CH-5200 BRUGG PUMP TYPE SMN-R 4*160 NOTOR TYPE SR4 EG-BEE GTE-115/090-08-V22-FVEGA VIB61LXAGGRANX,L=220MMBauer Gear& BG04-61U/D04LA8/SP A/173F0-26Moeller NZM2-XKSA 260038Infastech H& D81VW4C4NJWS& DKE-DC+SP-666SOMMER CKUG003008H& ASM58N-F2AAARHGN-1213H& BNZ-125-1225-2-G-CN-S-GG-7-0H& CR0501Bikon DREI-BOND F10-2& 4.220.02.HEIDENHAIN S& KPS79-060L3121I& ROTEX-24KNOLL TF50-40/40488JUMO KM-70/U NR:314601FAMATEC 81.500.1481&BTL5-E10-M0150-P-S32&S& 1.25.015&&&&&&&&&&&&&&&&&&&&&&H& 6DR-0AA4KKS Krefeld Konstruktion & Service GmbH .000& KKS500-3081-10&S& ESA00K0H& HP-010-0-WB021-W1-1S& 280-301MUELLER INDUSTRIE DLM-HD H& DP 4NETTER& NTS120HFMP Filtri& F.STR 100/1 S M090 G1.1/4" 40Ltensometric M160LOVATO LOVATO 8LM2TIL LB4HAWE DT1-250MULTI-CONTACT PLUG|FL3-BG-24+PE-SP1.5/0.5-1.5AGPA-MHANSEN 12H46BS/0LD LL12-H46BS-NV-143harting 09380082701S& SK 41-32 RLU Rexroth 3 842 526 760+3 842 526 764S& PSB250SV1A5I& Dichtungssatz Typ KTS40-80-T5-G-KB（67492）SALTUS SW13 3/8" H& MR7-1 NR:800L/MIN N20-1200L/MIN 20NM 20-7 15L/MIN 13NM 1200L/MIN SANTOTRAC50 500MLSICK STEGMANN DGS66-HAZO-S0101E.170.6VG.HR.E.P 300153S& 1&NORELEM KG POSITIONSFUSS FORM B NLM -NORELEMI& BGN-S309BJOFO-O-S50 Nr 284283SALTUS SW13 3/8" H& H216-&S& M5S12/32-G12Janitza UMG96SabbCM-IWS.1servomex GT-1030-TSE+H RSG30-B2B3AGA1Brueninghaus Hydromatik GmbH& A4VSO 40 DR/10R-PPB13N00 Nr:H& KFI-A/B/W/X/77 Nr.:203212&Hengesbach Art.Nr.:TW39BH90L099T394 1*PT100 +20-120?? Prod.Nr..013S& HK44DT/2M-HH1，6/1，6-H1，6-C30-A1/450-VB11FM-AR4/11-1-A24-A1/4S& PSV 4S1/370-3SIEMENS 6FC-0AA2&640.126K 5??m OF Filteroiltech D5/307/SCH/V2/G 5-55barsiemens 7MF-1AB7-Z-B11-C12-Y21BUHLER Niveau switch 61-0-S6X1350-SK601I& 80DRNCP4-&376846-EKH& 3RVH& ASM124SF132S& 0340 type 220VAC G1/4 PN0.5--16bar&&& HAHN+KOLB KISSLING MNSICOD F58HP-12-12-10-8-DP-0-2M20I& 19 30 006 1540HYDAC 376249 Bladder 13L*7/8-14UNF/VG5 NBR20/P460penny giles D1315I& J3-H85STOEBER /000/010/ 1&DEVICE.Nr8740373S& POG10D1024I ESL90I Nr 73930C-POG10& n=1480/minparker PN125HM001&STKGutekunst D-249Parker PV180R1K1T1NMFCpuyun& SK120BZ &P89 without CoatingS& LME 6 WZ 24VDC/AC//suco G05A.C.09.00.001.24 J010HEIDENHAIN ID:&GS 28Pdia35I& DKMA-1/90 G1（30...90 l/min OIL,G1,DIS& H& LS187C-740（Id.Nr.526974-xx）H& SZL104-100TD/1.0524-2SPZ WN:3.5934S& LM16/30 I& -20KUKA KCP 2.0 VW-PV1 10m SIEMENS 7MF-3BC6-Z A01+A40+Y01 HARTHAHN+KOLB Parker PVP23362R21???JEONFF FME-2D-BS& MATTHIAS SCHL?SSER Serial No：83682&Rexroth 4WRZ25W8-325-7X/6EG24N9K4/D3MVahle& UV10SIEMENS 3NE00VH& DBDA10G18/200V&&&H& Bosch Rexroth HVE02.2-W018N/S201& 17PLUS-Q02-00I& M120*3RH 1-150KN 111.02.140.17-DA 2-300KNI& 09-20-016-0252Dynameco 300-E02S&
for GM30L/DN250 No.61-DUNGS& PRESSUTE SWITCH|GW50A6I& 179& 850mm*500mm*600mm&Rexroth 3-0?320???299??8??1Teubner TMV16 , ??230V,PT100,0~250VI& en f.68000,No.& module&KUKA Roboter GmbH Nr.ACE GS-15-80-ED-K41137I& CT-2T20-CB3 with 3meter cableS& 42.I& Sint-A00 8F7/10r7X12I& MH- | LOAD CAPACITY （KG） 7500 KG | STROKE LENGTH （MM） 3000 MM CHAINSVEAM P/N:CIR24TFS-98H& LD-OEM1000 12V +-15%ROESSEL-Messtechnik GmbH Dual-Core- Thermoelement :TE-AMK ??22*800 0??1100K&PDFV 1/36PARKER& D31FBB32CC4NF0010H& -6S& 150.013.17S& 95UMD301CACAAI& T200 PP L=1147 MM&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&I& 30.0501S& -V0000I& 1.262.1201.70H& CM3/AC230V &Burndy PEN CU-CU SYN 8OZ& GOxxhawe DG2HS&HMG11P29H1024+ESL90lenze EZZ0016 NR.ASM WS17KT-A-L10-SBO-D8H& 4D03 3A51
G0QHERZOG 7--1H& 4WE10D3X/CG24NZ5LSICK 2047286tebulo 3HACO20988I& Id.Nr.8020850& D-Code A2346hawe V60N-90 RDN-1-0-02LSN-2S& NTM02.2-230-024-15H& KTR-B/3/V300/T5/T5AB31-14/3-1A2A-TA&I& MTH-FWK QN10 length 150mm R6/4" G2B, design: downpipe 200384_METHERM&SWAC MC2-930-H-10B1H& 1671137H& S25A1.10BPFLITSCH PIK KS 60/60I&
Gleitf&hrungstrapex PN.S& Pneumatic direct fast connector external thread G1 / 4 &8mmS& Binder 723,66F7460& 11362Z-P1IC1A11CA，2900mmI& pI NBR 73004DNH& DM 10mm（OZ 1833）H& LC183 10nm ML740mm L11 ID H& nr.elotech AZ320-20GR-30-QLKI& PR65-B-0-103&&ASS Maschinenbau GmbH GSF-TPP-U4KOBOLD Messring GmbH OME-15R15/156EBRO EB6.DW DN150H& HPPF2V3EMVAZ30I& KF（QF）Teed / QF40-150-T&H& 1756-IM16Ituenkers K2 63 AS A10 T12Andritz VS425 HCB With bolts PN.0& 6005AVschneider NSYKNM3??target price 0.2???H& DBW10A1-5X/20G24NZ5L&H& MKD041B-144-KP1-KN R&heidenhain LS187C ML1540mm+/5um,S& VGBF50 black spring 70-90mbarparker PVPhohner SN:151102 PN:E3A19A/A0aassfHED 8 OH-20/350K14;RS& GS2-3-G24&Stober FDS5015A/L 1.5KWATOS& DLHZO-T-040-L71???S& EL9110S& NR.063892I& MSPD 200-H& VPA-C18/P Nr.500291vogel TYPE:K SIZE:250 i=3 OUTPUT:1000 Ba100
15:30:00& 否 I& BTL7（5）-S172-M1000-B-S32HARTING& H& 2-WAY INSERT VALVE LFA32DBW2-6X/315EPE D-68775 kelsch 6 225 G130-S000-PI& DG5V H8 8C VM U H7 21TUNKERS K-63-A12-T12-135ABB ER-144/A/EX AC220VWittenstein AG（alpha） TP110S-MA3-66-0K1-2S SN 2448516 I-66I& 4SN-4puyun&& 9375UBalluff BTL5-T110-M0440-B-S103TR 111-00169 sn:00796I& DSN6 63A/3P+N+E&&&&HAHN+KOLB H& -11SH& 126343& KLU-318S& CA10-A230-614-FT2INTEGRAL SLA-6-100/022Rexroth& AB31-04/0500ZL24S& SN:1027911&& CODE:034420&& GMa13 F7 HV StageH& Toolholder HSK-A100 - 84 757 122I& U007 A05H-A1LEM LF2005-S/SP1wieland 07.312.2153.0HAWE G1//2,RH3,S061809S& GISO125&100-200-45/2Hydac VST-08X1WDH& BL20-GW-DPV1S& typ.DP50 Serien-Nr.40018 Art-Nr.104738&I& BALLAST 2*18 W, TYPE: EVG97218 （EVG218D） AC110V-230V, 50-60 HZ, , FOR RAPID START FLUOR. LAMPI& M 6X50 BN 3318 ZINCEDI& KA-DR-125KN -2MV/VGUTEKUNST+CO.KG FEDERNFABRIKEN 20.0X057.0X0700Hawe G3-1-A24S& EMA-H4/P4/P4& schunk& AEGVDE0530 Nr -2 MIN/2KW 61/35A S2-2 MIN/3.5KW 61/35S& ARE-15/50&S& R& PG1-SAS-ADJLIKA C50-H-100ZCU410KH& 16RSchrack RELAY 4RT COIL 220VDC ,SCHRACK ,PT570024EATON KBXCG-6-W250-Z-M2-3-A-PE7-H1-10S& 711.0289H& SD3C-HCJA-AARG& U.S.PATENT:6005577WEIDMULLER ZQV2.5/20（）S& VITON 52X3.5Settima GR90 SMT16B 2200L S2JACOB & SOEHNE GMBH & CO. ; DN140S& 107906S& DM/12-GKEM JVM 04CP.W.T/Teflon& with Dual-channel sensor&H& DIT 10.71 ML 10MM&S& 0ZOA-FI& H& H& D-330, D= 4,0 mm, DE= 29,0 mm, L0= 41,0 mmH& D1VW001CNYPFS& MK5/45/6.36/9.5puyun &LS 623 ML-770mm220~360V ID& UDANAHER MOTION DBL3M0-S40+PLE60/I=8-6SM37/DBL3（SHAFT11*23）gessmann Type V61 Q567 6A 250VAC/DC F.NO.101 0654 02H& 1-290-77-00HAHN+KOLB I& 117.3.12Pmurrplastik& KDT/ZN 12 （P/N:）Sch?ffler Wellenbock LSHS25,LSHS25BST NR:34H& QRA55.E17&Buhler Technologies GmbH NT 62-MS-S6/350-2K-LC1
L=350mm/with LC1 /max.1bar/80&H& PRESSUREVALVE/Bender IR470LY-4,BElabo 32-0B.3Eldon 180?? Door hinges for floor-standing enclosures stainless steel, Pack quantity: 4 pieces DHN 180Hagglunds 478.I& AB7630Rexroth MSK071D-0200-NN-M1-UP1-NNNNGESTRA NRGS15-1,AC220VI& S& DN65 PN16 TYPE FKKV016 06512ProMinent BT4B0708TTTH& HNU401.10VG.HR.E.P-6.S2.AE&&&HOERBIGER S8581RF-1/4H& -1S& Rsigmatek DAM122 with DKL023Gestra LRS1-5BS& 60009.01H& D1VW020BNJWLGJTITAN （TITAN） 3S& RF-06-10.00S& mm*225mmNORD SK700E-152-340-AI& S& B71908C.T.P4S.ULH& 3DRE10P-6X/200YG24K4VS& EE21-FT6B53-T24H& PF-100-316-T/DN10-16 ISO-KF AL& PCIT30/PCJT30-NBremas Ersce S.p.A E100-00-CIRexroth 4WE6J601SG,24N9K4/B10&S15000& RI& HC8904FKS26H（HH303DJ03KSVBR 24D7-CH0050）I& PAC112.2.3SK023I& DL20T/S179A-T-88 I& 267S& FTI156-AAC1RV143A1A& L=2000MM&KFD2-SOT2-EX2&I& 60VB00493& inverter drive boardhawe MVCS56FI& 2BH&&& 2.2KW 2870/minREXROTH Rhydac EDS 510-400-1-013JACOB & SOEHNE GMBH & CO. PART NO. 0 LGsiemens A5E L=5MH& SERIE60（3NC/NO24V/6A） 60.13.9.024.5240Hawe PSV 31-3-E1 G24SCHMERSAL G50-050-Z22/22Y-M20ATOS Y-STDFL-MIN- ZBXD-1-2200H& 1FK-1AB0H& M726638Burkert 0281 A 13,0 EPDM MN G1/2 PN0 2-16BAR 230V 50-60HZ8W 078688Lenord+Bauer GEL 155G beckhoff FC3101-4S& OP18-K100VP6Q+CO12.4-10I&&GE DF-153-10000-STR Type:LT200-P;art-nr.: SN0418HPS DS1 DS1/Uh:24VDCKirchner und Tochter H& 4WRZE25E1-220-7X/6EG24N9ETK31/F1D3VDVP RC8M??9601039?? 0.1mpa 8/9.5Tramec TC90BO 5:1 90B5 （35MM）TRAMEC GEARBOX,GTC90BO590B5,260rpm output rpm- 35mm hollow boreI& HBC Receiver. Ser.No:736-0503082 Frequency:418.950-419.275（MHZ）balluff Q40KFU-PAC20B-S04Chawe V30D160RDN-2-0-05-LLSN+V30D160RDN-1-0-05-LSNS& 131.11.050 S-1～25bar/psi& G 1/4&MENNEKES 278+1192 , Single-phase,3-pole, 16A plug + socketTunkers K63 A10 T12 75I& KA 10-4 N-01S& 4WRA6R30-22/G24N9K4/V-589PARKER 3768317,M 58401 24VS& CKV120-63/45/-*300-E208I& 785.026&& BGF-120*KL2.5&&& 1-10M3/H&& DN40H& VT-HACD-3-20/0-1-00/000H& ED704USOM140+K203VGU （15M cable）S& BOA-S;DN 50,16barGranlund UDH-14/40H& 24VDC power supplyI& 372-K-10KI&& VC-300&&I& DAH-1202HR10& K.E.00PMA Prozess- und Maschinen-Automation GmbH D280-110-S& mc225_MH2_pp225
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