误差理论与测量平差基础习题集5(参考答案) 下载本文

???5.24??5.17????11.00??1.69?????8.01??0.36????13.34????31.71???16.29????7.22???1.58????1.31??6.29?????24.90????4.36???22.35????16.29??41.06? ???69.34??5.63????11.31???4.72???参数改正数 /mm

8.99?4.27?1.806.64?6.60?10.30?12.1722.89?3.21?2.17点号参数平差值点号坐标中误差/mmPXYP?X?Y?P1825.8910272.2457114.8815.3921.412740.1052312.5856215.1213.7520.44 3768.3334392.2197316.1819.9825.714732.0288470.8853414.0011.1517.905681.6372279.3229514.8018.9824.066674.5638506.174868.1717.3819.217.9.63

(1)误差方程:

0.277.24?1.000.000.000.000.000.00??5.79?????0.001.000.000.000.000.007.11?????0.000.001.000.000.000.00???8.00?????0.000.000.001.000.000.00?1.81????????0.000.000.000.001.000.00??X3???3.79????????0.000.000.000.000.001.00?1.06???Y3????1.000.000.000.000.000.00?????0.32????Z3???V??0.001.000.000.000.000.00???????6.70???????0.000.001.000.000.000.002.38X4????????0.000.000.001.000.000.00?????1.76????Y4???0.000.000.000.001.000.003.99????????0.000.000.000.000.001.00???Z4????8.21???????1.000.000.001.000.000.00???2.62??0.00?1.000.000.001.000.00???5.80????????0.000.00?1.000.000.001.00???0.66??

法方程单位为cm。

N?

参数协因数阵:

?22.620304?9.484496???9.48449611.511957?4.7471374.3882481???3.384450?8.680639??3.3860064.094469??1.779732?1.6826834.7471378.680639?3.3860061.682683??4.388248?3.3844504.0944691.779732?3.9951931.6868441.7781825.551018??1.68684408.065997?10.8171644.947777?1.778182?10.81716412.9162825.860772??5.5510184.9477775.86077218.080173??Qxy

(2)参数该证数:

x??3.031.48??3.77?1.04?1.44?4.17?(cm)

T观测值改正数(cm):

V???2.76?5.634.230.772.35?3.112.718.18?6.150.72?5.434.04?1.442.88?1.06?T

观测值平差值:

?X12 3?Y1730.2020466.86802392.18881129.1888?1263.3340?Z?885.3581?3961.6139?221.4568 ?3297.7126?3076.2558?4627.6152?6711.4420?5016.0448?7099.8716?2083.826745(3) 坐标平差值(m):

点G03X?Y?Z??2416372.7362?2418456.5630??4731446.5617?4732709.89573518274.9819 3515198.7261G04单位权中误差

?0?0.389cm

坐标中误差(cm)

点??x??y??zG03G041.851.461.322.062.272.52

7.10.64

?B??2.22mm,P1?B?P2?1.98mm,??BP?2.22mm

37.10.65

?????

角度观测值的权P??1, 边长观测值的权PS?0.357,1PS ?0.342。2(1)误差方程系数阵 误差方程常数阵:

?0.00000.00005.7527?4.0952???3.62406.40140.00000.0000????3.62406.4014?0.97379.9321???0.00000.0000?4.7790?5.8370???12.30842.9791?6.5557?7.0743????8.68453.422312.30842.9791???-6.94392.25560.00000.0000????3.3199-8.6571-5.75274.0952???0.8702-0.49260.00000.0000???0.00000.57990.8147??0.0000??-1.82???-0.47???0.00???-0.82???0.97??? ?0.54??0.85????1.03???0.39????0.00??法方程系数: 法方程常数项阵:

?312.69308.7875-203.1524-135.3429???8.7875182.663178.6282-109.9114???-203.152478.6282284.564054.3153????-135.3429-109.911454.3135225.4055??3.16???-5.34?? ?-12.13????11.26?(2)参数协因数阵:

?0.008103-0.0008090.0054030.003169???-0.0008090.011397-0.0049210.006257???0.005403-0.0049210.008983-0.001320???0.0031690.006257-0.0013200.009708??参数改正数/cm0.000.07?0.080.10点号坐标平差值/m单位权中误差?0.985(?)点号坐标中误差/cm

P12X870.181831.864Y278.297436.604P12?X?Y?Z0.090.090.100.130.090.13(2)观测值改正数:

0.94 0.89 0.66 0.61 –0.97 –1.00 –0.70 –0.73 –0.42 0.04

观测值平差值(角):

44°54′28.04″ 51°01′22.49″ 35°06′51.86″ 48°57′17.61″

49°03′06.53″ 46°52′44.00″ 50°29′47.40″ 观测值平差值(边)/m :80.401758 292.100358