误差理论与测量平差基础习题集5(参考答案)

???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.

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