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2022年中北大学理论力学答案2 .pdf

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1、第一章静力学基础一、是非题1.2.3.4.5.6.7.8.9.二、选择题1.D 2.D 3.D 4.B 5.D 三、填空题1.滑移 2.内（或变形）；外（或运动）3.F714；mNF141434.-1mKN；-2mKN；1mKN5.sinFa6.约束；相反；主动力；被约束物体运动状态7.8.略四、略第二章力系的简化一、是非题1.2.3.4.5.6.7.8.9.10.11.12.13.14.15.16.17.18.二、选择题1.A 2.C 3.B 4.A,C,C 5.A 6.B 7.A 8.C 三、填空题1.力多边形自行封闭；0ixF0iyF 2.大小相等，转向相同；0iM 3.b；4.2710

2、92221lqlq四、引导题NFRx70；NFRy150；580OM；165.5N；58715yx五、计算题1、（1）40.01mm（2）511.2mm 2、kjiF6.106.2493.345；kjiMO6.10364.368.513、kFjFiFF；kFajFaiFaMO222222；力系简化最终结果为力螺旋，力螺旋中力偶的大小Fa26，方向与主矢相同，且中心轴过 O 点。4、jiF64.16164.437；mNMO44.21；NF53.466；md04 69.05、（1）iF150mmNMO900（2）NF150，方向向左，合力作用线方程：mmy6第三章力系的平衡条件及其应用一、是非题1

3、.2.3.4.5.6.7.8.9.10.二、选择题1.AB 2.CG 3.D 三、填空题略四、引导题1、2GFAB；23GFBC；2、KNFB21；KNFAx0；KNFAy153、NFA250；NFB1500；NFE250五、计算题1、aMFFDxAx3；aMFFDyAy2；acMbMM3212、mNM32，NFA53、cbPaPFAx21；cbPaPFBx21；21PPFBy4、KNFAx0；KNFAy25.0；KNFB75.35、KNFAx0；KNFAy6；mKNMA126、KNFAx0；KNFAy15；KNFB40；KNFCx0；KNFCy5；KNFD157、cos2hFaFT8、0Dx

4、BxAxFFF；aMFAy2；aMFBy2；aMFDy9、NFAx230；NFAy100；NFBx230；NFBy20010、KNFAx120;KNFAy160；KNFBE27.226；KNFCD18011、KNFAx8；KNFAy4；mKNMA1212、KNF83.214；KNF73.165；KNF207；KNF73.4310第四章摩擦一、是非题1.2.3.4.5.6.7.二、选择题1.B 2.C 三、填空题1、msftan2、滚动或滚动趋势；NFMmax3、13.66KN(斜向下)4、200N 四、引导题1、NFNB200；NFSB20；NFNB170；NFSB10(向上)；NFS17ma

5、x2、KNFB21；KNFAx0；KNFAy153、NFA250；NFB1500；NFE250五、计算题1、2887.063sf2、KNF2.3min3、ls456.04、sin2PFs；cos21PPFN；rPRPMf22sin5、b12.5cm；6、57N 第五章点的运动学一、是非题1.2.3.4.5.(1)(2)(3)二、选择题1.B A 2.D 3.B 三、填空题1.0v瞬时四、引导题btLbxcos1；btLbysin；2sin2btLbv；btLbxsin2；btLbycos2；2Lba；2cos2btLba；2sin2btLban；2sin4btL五、计算题1直角坐标法：RaRv

6、24;2自然坐标法：RaaRvn24;0;222648mByt；2m s64Btvt；15st第六章刚体基本运动一、是非题1.2.3.4.5.6.二、选择题1.D 2.无答案三、填空题1.0,a R；a R,0四、引导题22tan2;cos;arctan;tanbubybyAA222;2;bubuubtLbuaLbuabuLvnCCC22224;2;2五、计算题(1)smxO4.01,2177.2smxO(2)(;02222顺时针rlb第七章点的复合运动一、是非题1.2.3.4.5.二、选择题1.C 2.B 3.B,A 4.C,B 三、填空题1、动点，静系，动点，动系，动系，动系2、动系，动点

7、3、圆周运动，水平直线运动，定轴转动四、引导题1、圆周运动，直线运动，定轴转动，逆时针,4,342av2、直线运动，水平直线运动，曲线平动向上向上,26.0a;,1.0aav五、计算题1、LeAB2、;23RvE3、aC=13.66cm/s2，ar=3.66cm/s2 4、v=10 cm/s，a=34.6cm/s25、RuOA3(逆时针)2231RuRaOA(逆时针)6、)(1732.0smv)(05.02sma7、)(1732.0smv)(35.02sma8、)/(33srad)/(653.02srad第八章刚体平面运动一、是非题1.2.3.4.5.6.7.8.二、选择题1.B 2.C 3.

8、B 4.C 5.B 三、填空题1、平面图形，平动，转动，随基点平动，有，绕基点转动部分，无2、)/(2srad)/(342srad3、AAvLv2,3四、引导题1、逆时针,/632.1732.1,30cos,/632.12,2,632.1,/1ABvsmvvsmmmsmBCB2、瞬时平动，为零，相等，水平向右，0a),(42,22,45cos22CBAnAnBraaa逆时针五、计算题1、cossin2Rv2、)/(8.0sm3、)(/6),(/75.31逆时针逆时针sradsradOB4、)(22),()421(顺时针OOvv5、rrarooBoB22n32,2a6、)(123),(232ra

9、rvococ7、RrRaRrRv,8、)/(8,0),(/22smaasmvnBBB，22/8,/8,/22smasmasmvcycxB9、)(/54,/662顺时针sradsmvB10、)(/2顺时针srad)(/75.32逆时针srad文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9

10、 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3

11、ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文

12、档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6

13、V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G

14、3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V

15、6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6第十一章动量定理和动量矩

16、定理一、是非题1.2.3.4.5.6.7.8.9.10.11.二、选择题1.B 2.C 3.D 4.B 5.C 6.A 7.B 三、填空题1.内,外 2.0 3.)()2(321rmmm 4.O 点是固定点或质心5.(1)(;0顺时针mvrLLDC(2)(23);(21顺时针顺时针mvrLmvrLDC6.)2325(222121RRRRm四、引导题1.2122mabxmm,五、计算题1.NF1085阻2.)(4ab3.coscossin33rRamgmFoxsinsinsin)(32322321rRamgmamgmgmmFoy4.212cosxFmme,2122sinyFmmgme5.2222

17、11232211rmrmmgrmgrm6.2122221)()(rRmRmrRgm7.gamgFmgFcNS244.0,21,418.)iseanticlockw(cos23)iseanticlockw()sin(sin30lglg9.)(sin71,sin74压mgFFgaaBABA10.NA=2Mg/5第十二章动能定理一、是非题1.2.3.4.5.6.7.8.二、选择题1.B E 2.D 3.D 三、填空题1.2292rm2.2221)(43RRm3.2243rm221omv243omv4.JJ28.20,28.20四、引导题cossec)(23sinmmMmga五、计算题1.432114

18、23428)2(4mmmmghmghmghmv2.gh33.2221222)cossin(2rmrmgrfmgrmM4.2221213sin6sin3lmlmglmglm5.2sin22MgmRR31cossincos44OxMFmgR6.12212sinmmgmgma1221211423sin3sinmmgmmgmgmFT7.)iseanticlockw(2cos3),iseanticlockw()sin1(3lglgcos23cossin49mgmgFNA,2)sin31(41mgFNB8.mgRMmgFFmgFgaKKyKxT5.13,5.4,0,34,6第十三章达朗伯原理一、是非题1.

19、2.3.4.5.二、选择题1.D 2.C 3.B 三、填空题1.cosg 2.2III2,2cos,2cos22CrnFm vFmRFmR3.marma21,4.422II1,23OmlFMml,422II1,212CmlFMml5.cot,cotmgg6.62mgP四、引导题)(3coscossin212221mmmgma五、计算题1.NFNFBEAD2.273,2.73,NFFgaaBEADn6.253,)32(,02.rPQMga)2(Pr)(23.rad/s2，NA=29.4N 4.2sin43),(cos3mgFiseanticlockwlgT2cos23mgmgFA文档编码:CV1

20、W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R

21、9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V

22、7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:C

23、V1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO

24、8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF1

25、0V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码

26、:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V65.gFgFgaSc710,730,726.lgmgFA23,47.)(sin7,sin74压mgFFgaaAABA第十四章虚位移原理一、是非题1.2.3.4.5.6.7.8.9.二、选择题1.ACD,BE,ABCD,E,ABCE,D,C 2.AD 3.D 4.C 5.A 三、填

27、空题1.2,2,3,3 2.cos452cos15cr3.cot2F4.,sin2QxQMPlFFr5.2324mxmgx四、引导题1.2005 3P2.12tan,tanABBFFFFF五、计算题1.tan 2MFa2、FA=-2450N，FB=14700N，FE=2450N 3.500,300 2BCBFKN FKN4.8,20,8AEExFKN MF5.F3=P第十五章拉格朗日方程一、是非题1.2.3.4.5.6.二、选择题1.B 2.C 3.A 三、填空题1.3,AB,BC,CD与水平方向夹角2.,sinQyQFky Fmgl四、引导题1.21121232Am gm Rm R11222

28、232Bm gm Rm R2.1212240,20 xxxxx五、计算题1.2,33FFxmRMRmM2.2112121226,9292mmggmmrmmr3.222cossin0Mbmbmbrmbr2221cossin02mbrMrmrmbr第十六章碰撞一、是非题1.2.3.4.二、选择题1.B 2.B 3.C 三、填空题1.0,0,ABoABCDEovvvvvvvvv2.0 3.四、引导题1.12110,84xymlII五、计算题1.6.41,0sm2.229AIvm第十七章振动一、是非题1.2.3.4.5.二、填空题1.固有频率，2，系统本身固有参数，2200020,arctannnxx

29、Axx2.变形量，12kk，弹性力，1212k kkk3.恢复力 4.减小，是原来的12，不变，是原来的125.保守系统，机械能守恒定律 6.;stcgm7.3km 8.32km 9.最大，共振，避免共振现象发生四、引导题1.10120,0ststmgm g mgxxkk2,0,stnkFkx i mxmgF mxkxm11,cos2m gm gkAxtkkm文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7

30、V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W

31、1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9

32、D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7

33、M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV

34、1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8

35、R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6文档编码:CV1W1Y5Z6V9 HO8R9D4X9G3 ZF10V7M7V9V6

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