发布时间 : 星期一 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
7.6.52
7.6.53
(1) XP1= 855.091m，YP1= 491.048m，?P1= 2.14cm
??XP= 634.237m，YP= 222.873m，?P= 2.13cm
222??(2)
L = 94°15′25.7″L=43°22′46.7″L= 38°26′29.0″ L= 102°35′41.0″L= 38°57′50.0″L= 42°21′47.7″
1234567.6.54
(1)误差方程系数阵： 误差方程常数阵项：
?8.4623 14.5660 ０.0000 ０.0000???0.76?????-1.1745?20.2296０.0000 0.0000 3.85????????0.81?０.0785 ０.8140 ０.0000 ０.0000 ????6.1725 7.1289 ０.0000 ０.0000?1.58?????-6.1725 ??3.32?-7.1289 -1.4888 8.5078 ?? ?? 9.8984?3.6438?8.4096?4.9540?1.81?????-3.7259?2.10?10.77279.8984-3.6438?????10.9222-9.89843.6438??18.3607??4.93?????-9.89843.64381.6812-4.9289?1.68???????-14.56608.21731.2851 ?-8.4623??5.11??法方程系数阵： 法方程常数项阵：
??172.18??948.9369 466.2759 -378.8542 16.2869??????227.94? ?466.27591199.2604-73.7895 -79.3750 ? ???227.94??-378.8542-73.7895 339.2465 -41.0018 ?????26.7316.2869 -79.3750 -41.0018 150.9647 ????(2)参数协因数阵：
?0.002492 ?0.000807 0.002608 0.000015????0.0008070.001147-0.000588 0.000530 ?? ?0.002609-0.000588 0.0058540.000999 ???0.000015 0.000530 0.000999 0.007173 ??参数改正数/cm：
0.06 -0.18 0.41 0.19
点号 坐标平差值/m 点号 坐标中误差/cm P X Y P ?X ?Y ?Z 1 777.147 320.645 1 0.06 0.04 0.07 2 844.976 504.162 2 0.09 0.10 0.13 (3)观测值改正数(″)
-1.28 -0.33 0.22 0.71 -1.44 -1.25 -0.91 0.82 0.17 0.51
观测值改正数(″)：
55°28′11.92″ 97°41′53.57″ 93°02′06.22″42′42.86″
59°57′55.95″ 69°19′21.19 99°56′39.02″57′29.51″
单位权中误差=1.135（″） 7.6.55 （1）
XC = 99544.0941
YC=34356.6918 XD= 100642.6597 YC = 32114.1514
XE=96463.730 YE= 34970.4495
?（2）?0?1.82mm ， ?SCE=2.6mm ″
?SCE1S?CE100000
7.7.56
(1)误差方程：
V?1?x2
V??2?0.763x1?0.645x2?3(cm) V?3?x1
°03′52.31″ 50°°05′51.47″ 50° 44 29???1.1??329.549?(2) x1 = ?(cm),????(m) X??1.0??278.600??V???1.01.5?1.1?(cm)
TL??278.600431.535329.549?(m)
T?(3) ??L2???X1?X2,d??0.7637dx1?0.6456dx2 ?2?2???Q???QL??0.5,?2
2PL27.7.57 (1)误差方程：
??0.8279?V??0.5608??0.72460.6892??x?0.40?P?? ??— ??8.72??（cm）
???0.5397?0.8418???????yP????4.82??(3)法方程：
????1.58180.4894??xP??0.48941.4948?????— ?3.38?????y??2?
P?.17?(3)
Q???0.7452?0.2434?X???0.24340.7470? ????x???xP???= ??1.99??(??cm) ?yP???0.80???XP= 719.920(m)，YP= 332.808(m)
(4) V? [ -1.60 -6.72 -6.57]T(cm)
L?? [ 192.462 168.348 246.658 ]T(m)
7.7.58
(1)误差方程系数阵： 阵：
误差方程常数阵项??5.76?０.0000 ０.0000?０.0041 ?1.0000?????０.0000０.0000?０.5004 ?0.8658 7.86??????1.14?０.9245 -0.3812 ０.0000 ０.0000 ????? 0.4579 -0.8890 ０.0000 ０.00008.89????
?0.9170 0.3988 ?7.84?-0.9170 -0.3988 ?????０.0000０.0000?0.97540.2204???8.82??0.43480.9005??2.46?０.0000０.0000????7.7.56 (1) 误差方程:
V1?x2V2?0.763x1?0.645x2?（3cm） V3?x1???1.1??329.549?x??（cm），X?（???cm）??1.0??278.600??????（2）V???1.01.5??1.1?（cm）TT
L??278.600431.535329.549?(m)（3）??L2??L2?X?XQ?Q?0.5,P2???2?22? d??0.7637dx1?0.645dx2 ?2???L27.7.57 (1)误差方程：
??0.82790.5608?????0.40???xp??V??0.72460.6892??????8.72?(cm)
????0.5397?0.8418????????yp??4.82?(2)法方程
????1.58180.4894??xp??3.38??????????0 ?0.48941.4982?y?2.17???p??