发布时间 : 星期四 文章误差理论与测量平差基础习题集5（参考答案）更新完毕开始阅读4cda44ba31b765ce0408148b
Q?x??0.7452?0.2434??????0.24340.7470????xp?1.99?(3) x???????(cm)???0.80?y??p??
X(4) ??p?719.920(m),Y?p?332.808(m)TV???1.60?6.72?6.57?(cm)L??192.462168.348246.658?(m)T
7.758
(1)误差方程系数阵： 误差方程常数项阵：
?0.0000??0.0000?0.9245??0.4579?0.9170??0.0000?0.4348?0.00000.0000?0.3812?0.88900.39880.00000.9005?5.76??0.0041?1.0000?????0.5004?0.8658?7.86???1.14?0.00000.0000????0.00000.0000? ?8.89?
?7.84??0.9170?0.3988?????0.97540.2204?8.82???2.46?0.00000.0000????法方程系数阵： 法方程常数项阵:
?0.7205??0.0244??0.2618???0.11390.02440.8598?0.1139?0.0495?0.2618?0.11390.76990.1293?4.91??0.1139?????0.0495??1.51? ???7.28?0.1293????0.6703???4.17?(2)参数协因数阵:
?1.603756??0.033529?0.521115??0.1744130.0335291.1889990.1773090.0593440.5211150.174413??0.1773090.059344?1.535002?0.194477???0.1944471.563358??4.33点号参数改正数/cm:3.31?3.17?8.07点号坐标平差值/m坐标中误差/cm3.683.603.173.634.865.12
X12880.3001585.7513Y366.9933238.9287P12(3)
观测值改正数/cm?1.39?0.073.13?4.563.06观测值评差值/m249.101380.912317.437226.8847.8.59
?1.90321.185?3.88215.090194.806点号 X P1 P2 P3 7.8.60 （1）
坐标平差值/m Y 3578,557 4836.507 5363.197 8099,144 8400,213 9511,098 X2?203046.363m,Y???2??59253.099mX3?203071.802m,Y3??59451.609m???????????4.61??3.94?(?)，V3.12??2.33??3.49?????3.43（ ?mm）?6024????
(2) V?S?2303232??204.955???1800038???，S??200.133（ ??? ?m）?1703919??345.159??????2364835?7.8.61
（1）误差方程系数阵： 误差方常数项阵：
?2.0249???0.6653??1.3597??0.0000?0.0000??0.0000?0.0000??0.0000??1.3597?0.8732???0.9131?0.0000??0.0000?0.0000???0.00003.62740.00000.00000.0000?6.6731?1.35973.04560.00003.0456?1.4380?4.94782.79770.00000.00000.0000?0.70760.0000?2.7977?1.90213.50530.00004.46050.7260?2.79770.0000?1.66281.17610.00000.00000.00000.00000.0000?3.0456?3.02254.2218?0.48740.00000.00000.00000.00000.00000.00001.9021?0.40770.91310.40770.00000.00000.00000.0000?0.97020.0000?0.56220.82700.56220.0000?0.5775?0.81640.00000.00000.00000.00000.0000??????2.83120.00000.0000?4.73340.00000.0000???1.9021?1.66281.1761?0.00004.2977?1.4158??0.0000?2.63480.2397??0.00001.6628?1.1761?0.00000.00000.0000??0.00000.00000.0000?0.24250.00000.0000???0.82700.00000.0000?0.00000.57750.8164??0.0000?0.09060.9959??0.00000.00000.00000.00000.00000.0000?14.08????20.24???19.84????16.40???31.00????13.74???13.93?????14.32????3.30???94.51????41.23??14.75???78.38???84.62???7.50????
法方称系数阵：
?8.26923.4999?1.263310.4354?3.8040?2.5863?5.7932?3.499976.247313.8930?48.25378.5208??1.263313.893043.5629?3.1793?26.3145?24.4548??10.4354?48.2537?3.179357.1288?22.5334?19.8069??3.80408.5208?26.3145?22.533428.460829.2276???2.58635.7932?24.4548?19.806929.227937.6688?2.2609?5.0644?19.592910.86304.65223.1629????1.59923.582111.1507?5.7833?3.2905?2.23722.2609?1.5992??11.56?????5.06443.5821??255.37??19.592911.1507???161.19????10.8630?5.7833???226.80?4.6522?2.2372??214.75????3.1629?2.2372??256.04?30.9457?10.6217??111.14???????10.62174.8478??33.44???参数协因数阵：
?11.18059?6.139833.89665?9.21211?2.546780.52824?1.31875???6.139833.42460?2.149215.143681.49782?0.327190.75561?3.89665?2.149219.426330.3770011.72782?2.93735?1.20132???9.212115.143680.377009.398768.02327?1.944470.85232??2.546781.4978211.727828.0232720.98970?5.33948?0.67494??0.52824?0.32719?2.93735?1.94447?5.339481.446070.14640??1.318760.75561?1.201310.85232?0.674940.146400.40921????16.102039.04539?14.386149.92157?9.047162.216593.29268参数改正数 /mm
?16.102030??9.045392??14.386140??9.921569??9.047156??2.216586?3.292685???35.233905?2.76 2.74 5.34 2.78 10.98 2.76 5.96 4.80 点号 坐标平差值 /m P X Y 1 663.473 323.673
2 719.945 348.883 3 754.231 298.463 4 778.426 431.565 单位权中误差 = 7.252（″） 点号 坐标中误差 /mm P
1 24.58 13.60 28.10
2 22.57 22.54 31.90 3 33.68 8.84 34.82 4 4.70 43.64 43.89 7.8.62
??2.2550?1.98980.00000.00000.00000.00000.00000.00000.00000.00000.00000.0000???3.18223.9602?0.9272?1.97040.00000.00000.00000.00000.00000.00000.00000.0000????0.9272?1.97043.22781.1550?2.30060.81550.00000.00000.00000.00000.00000.0000???0.00000.0000?2.30060.81554.46250.1823?2.1620?0.99770.00000.00000.00000.0000???0.00000.00000.00000.0000?2.1620?0.99772.9798?0.42690.00000.00000.00000.0000???0.00000.00000.00000.00000.00000.0000?0.81781.42460.00000.00000.00000.0000???0.00000.00000.00000.00000.00000.00000.00000.0000?1.65970.82160.00000.0000????0.00000.0000?1.51632.66440.00000.00000.00000.00003.1760?3.48600.00000.0000???0.92721.97040.5891?4.63480.00000.00000.00000.0000?1.51632.66440.00000.0000???0.00000.00000.00000.00000.00000.00000.78254.03080.00000.0000?1.6003?2.6062???0.00000.00000.00000.00000.00000.0000?1.6003?2.60620.00000.00004.70493.1398???0.00000.00000.00000.00000.00000.00000.00000.00000.00000.0000?3.10460.5362???0.00000.00000.00000.00002.16200.9977?3.7623?3.60390.00000.00001.60032.6062???0.00000.0000?3.81683.47982.3006?0.81550.00000.00001.5163?2.66440.00000.0000?????0.66160.74980.00000.00000.00000.00000.00000.00000.00000.00000.00000.0000??0.9048?0.4258?0.90480.42580.00000.00000.00000.00000.00000.00000.00000.0000????0.00000.0000?0.3341?0.94250.33410.94250.00000.00000.00000.00000.00000.0000???0.00000.00000.00000.00000.4190?0.9080?0.41900.90800.00000.00000.00000.0000???0.00000.00000.00000.00000.00000.0000?0.8673?0.49790.00000.00000.00000.0000???0.00000.00000.00000.00000.00000.00000.00000.00000.44360.89620.00000.0000???0.00000.00000.86910.49460.00000.00000.00000.0000?0.8691?0.49460.00000.0000????0.00000.00000.00000.00000.00000.00000.8522?0.52330.00000.00000.8522?0.5233??0.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.1694?0.9855???误差方程常数项阵：