误差理论与测量平差基础习题集5(参考答案) 下载本文

-14.12

观测值改正数(角\): -4.38 -3.78 -3.19 -2.66 观测值改正数(边mm): 3.56 3.48 6.26 观测值平差值(角):

230?32'33'' 180?00'38'' 170?39'19'' 236?48'34'' 观测值平差值(边m): 204.956 200.133 345.159 5.5.54

条件方程系数阵:

1.0000 1.0000 1.0000 1.0000 1.0000 0.0000 0.0000 0.0000 0.0000

-1.6866 -1.2808 -0.8506 -0.4987 0.0000 0.8133 -0.7030 0.9233 -0.4812

0.7138 0.1467 0.5720 -0.2737 0.0000 0.5819 0.7112 0.3842 0.8766

条件方程常数项阵: -12.90 21.16 9.81

法方程系数阵:

5.0000 -4.3167 1.1588 -4.3167 8.9076 -1.5099 1.1588 -1.5099 3.2318 法方程常数项阵: -12.90 21.16 9.81

观测值改正数(角\):

2.27 3.98 0.94 4.10 1.60 观测值改正数(边mm): -6.77 -2.09 -762 -3.51 观测值平差值(角):

74.10323 279.05160 67.55299 276.10151 80.23476 观测值平差值(边m):

143.818 124.775 188.942 117.334 5.5.55 (1)条件方程

?1??2??3??4??5?19''?0 (a)

2.668?2+1.364?3+0.205?4?0.730?S1?0.063?S2?0.481?S3?0.995?S4?11mm?0(b)

2.850?2+2.767?3+2.131?4?0.683?S1?0.998?S2?0.877?S3?0.096?S4?45mm?0(c)

(2)改正数:V???1.472.525.947.601.47?('')

VS??3.14?1.31?1.75?1.80?(mm)TT

T???92?49'44''316?44'00''205?08'22''235?44'46''229?33'05''?T 平差值:????805.194S269.485272.716441.594?(m)

(3)导线点的坐标平差值:

??1684.140m,Y??5621.517;??12.2mm,??12.2mm X22X2Y2??1701.201m,Y??5352.573;??7.2mm,??11.8mm X33X3Y3??1832.471m,Y??5113.524;??9.1mm,??9.1mmX44X4Y45.5.56

条件方程系数阵:

1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.0000

0.0000 0.0000 0.0000 0.0000 0.0000

0.0000 -0.3129 -0.0537 0.5134 0.9436 0.6600 0.0000 -0.7607

-0.8688 -0.2187 0.6861 0.9248 -0.2169

-0.0001 0.3666 0.8213 0.9484 0.5426 -0.1467 0.0000 -0.6491 0.4952 0.9758 0.7275 -0.3805 -0.9762 条件方程常数项阵:

-7.00 -12.89 -8.00

法方程系数阵:

7.0000 1.7504 2.5322 1.7504 4.0528 0.8363 2.5322 0.8363 4.8173 法方程常数项阵: -7.00 -12.89 -8.00

观测值改正数(角\):

-0.20 -0.69 0.66 2.52 3.31 1.60 -0.20 观测值改正数(边mm):

-2.14 -1.50 0.46 2.52 2.47 -1.81 观测值平差值(角):

L??230?28'50''109?50'39''132?18'51''124?02'38''110?57'54''99?49'58''272?31'11''?

观测值平差值(边m):

S??99.430107.937119.875121.973153.741139.450?

5.5.57

(1)条件方程为:

?1??2??3??4??5??6??7??8??9?19''?0 (a)

1.148?2?2.399?3?2.599?4?3.749?5?2.668?6?1.364?7?0.205?8?0.331?S1?0.103?S2?0.993?S3?0.668?S4?0.508?S5?0.063?S6?0.481?S7?0.995?S8?3.2mm?0(b)

?0.403?2?0.532?3?1.182?4?2.213?5?2.850?6?2.767?7?2.131?8?0.944?S1?0.995?S2?0.116?S3?0.744?S4?0.862?S5?0.998?S6?0.877?S7?0.096?S8?5.7mm?0

(c)

(2)改正数:

V???2.002.811.420.70?0.900.141.653.152.00?('') VS???1.98?1.253.781.812.550.67?0.93?4.17?(mm)

TT平差值:

???250.870259.453355.890318.660258.778269.485272.718441.594?T(m) S???26?35'56''193?26'01''269?15'25''138?32'09''287?36'27''214?07'46''205?08'30''235?44'35''229?33'07?(3)导线点的坐标平差值: ?/m 点号 X2 3 4 5 6 7 8 A(B) 22?/m Y5308.0551 5564.1342 5607.2943 5844.4972 5621.5216 5352.5781 5113.5315 5071.330 3442355.0932 2381.7559 2028.2543 1815.4660 1684.1335 1701.2021 1832.4723 2272.045 3?X?3.9mm,?Y?6.0mm;?X?7.6mm,?Y?8.3mm;?X?9.8mm,?Y?8.4mm; ?X?14.0mm,?Y?10.4mm;?X?10.3mm,?Y?11.6mm;?X?7.4mm,

55667?Y?10.1mm;?X?6.4mm,?Y?6.5mm

7885.5.59 点号 ?/m X1 4579. 442 2595. 156 0.083 2 3 4 5 6 4577.892 4569.502 4570.296 4571.234 4572.989 2602.806 2601.107 2597.184 2597.374 2593.646 0.084 0.081 0.076 0.074 0.079 ?/m Y?P/m ?5.5.60 条件方程系数阵:

-1 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 1

条件方程常数项阵: 9.9 10.8 —0.7 23.2 -13.2 -12.7

法方程系数阵: