W4?L4?L10?L11?L12?1800W5?L8?L9?L10?L11?1800
?sin(L6?L7)sinL2sinL13?W6??n?1??sin(L?L)sinLsinL12612? ??sin(L9?L10)sinL5sinL12?W7??n?1??sin(L?L)sinLsinL45911? ?5.2.26 n=8,t=4,r=4；有多种条件方程的列法，其中之一为：
?1?0??0??010001??0??2?110000-1??V????0?-4?0100-110????000-1-101??-4? 00注：常数项单位为mm。 5.2.27 n=4,t=2,r=2。 设
1?1，?2，?3的改正数为V1，V2，V3，S的改正数为V5。
10??cot(180????)?cot(???)V?VS?W1?0 122AB?2??S1?cot(1800??1??2)V1+V1?V3?W2?0
其中：W?1?SAB?sin(?2??AB)
1S?sin(?1??2)?1800 W2??1??35.2.28 n=7,t=4,r=3
V1?V6?V7?3n?0
V2?V3?V4?V5?5n?0
?1.125V1?0.817V3?1.498V4?0.872V6?2n?0 5.2.29 n=8,t=6,r=2
19.52VX1?6.83VY1-19.48VX2-0.06VY2?0.04VX4?6.89VY4?0.73?0 19.54VX1?0.06VY1?19.50VX2?6.83VY2?0.04VX3?6.89VY3?2.39?0 5.2.30
?Yij?Yv?Xv?Yv?Xv?Yv?YH?XHYHv?v?v?v?v?v?v?arctan?arctanjiiHiiiSv2Sv2Sv2Sij2SH2SH2SH2XijXHPA?32 5.3.33 （1）
P'A2?PAP'AP（2）设平差前A角的权为，平差后为，A3
（3）1P??0
5.3.34
1P?AOB?3 2 P??AOB23325.2.35 （1）P?5.3.36 （1）
（2）P?1
PB?1.6，
PC?2.1
，
PD?2.1，
PE?1.6
（2）5.3.37
PCD?1.8?sinL?sinL? （1）F?CD?ABsinL1313?sinL?sinL?sinL1146 dF??''dCD?cotLv?cotLv?cotLv?cotLv?cotLv?cotLv 1133446611111313CD（2）dF?v8
5.3.38
?sin(L??L?)sinL418F?BD?AC??L?)sinL?sin(L237
dF??''dBD??0.813v1?0.932v2?0.932v3?0.369v4?1.929v7?0.813v8 BD???2.49981.99981.35181.8515?Tm,??0.32(mm) 5.4.42 h?25.4.43
?1?1??0?10110001?1010?V1??V?2 0?????9???V3??9??00???V?????4???6?1??V5???????V6??V??045?4?5?2?mm
T???1.576h2.219?3.7950.867?2.433?1.352?m
T5.4.44
??10.3556m h??15.0028m （1）h12??h3?20.3556m h4?14.5008m
??4.6472mh??5.854hm85 6 ??10.5020m h7?F??2.2mm （2）?5.4.45
（1）各高差的平差值为：
??189.4006m h??273.5108m h15???187.2495mh2?736.9806m h6 ??h3?376.6501m h7?274.0693m ??574.5801m h??86.2612m h48（2）??F??15.6mm
（3）??F2??15.4mm
11?5.5.46 L3?(900?2L3?L1?L2?2L4)5
??45.06(cm)2,??0.67(cm2) 5.5.47 Ss5.5.48
'''???44?5914.5??152.315m （1）?,S1?215.453m,S2??（2）XC?152.3148m,YC?152.3148m
5.5.49
（1）条件方程为：
'' v1?v2?v3?20?0
0.0365v2?0.0186v3?0.832vS1?0.947vS2?3.20cm?0
（2）观测值的平差值为：
??135.6062m,S??119.1487m S12'''?'''??'''??52?3013.61 ?,?2?56?1811.82,?3?711134.5315.4.50
（1）共有4个条件方程：
??SS34??0?????)sin(?????)sin(???12334①正弦条件：
??SS12??0??②正弦条件：sin?3sin?1
?2?S?2?S?2S152??1?arccos?0??2SS15③余弦条件：
④余弦条件：
?2?S?2?S?2S234???3??4?arccos?0?S?2S23
线性条件为：
①0.995vS3?0.640vS4?1.594v?1?1.594v?2?1.467v?3?0.127v?4?2.488?0 ②0.860vS1?0.599vS2?0.522v?1?1.174v?3?1.024?0 ③0.984vS2?0.140vS1?0.788vS5?v?1?0.97?0 ④1.065vS4?0.819vS2?0.757vS3?v?3?v?4?3.53?0
（2）观测值的改正数及平差值为：
VS???14.3V???0.6?9.90.525.313.5?0.4?('')
T?16.1?(cm)
T0.8S1??2107.6853024.6272751.3424278.5013498.951?(m)
TT???? ?1???5916'6.6''4407'56.8''3647'50.5''5840'25.6''??5.5．51 条件方程为：
??SS 1?2?0?sin90?sin?线性条件为：
0.486?s??s2?0.176???1.085?0
1观测值的平差值为： ??416.055m,S??202.110m,???29?03'48.0'' S12????S平差值L?1?S2??的协因数阵与方差阵分别为： ??T1.2015?9.4005??0.78370.1602?1.2534??5.88??1.20151.80986.963? QL0.24130.9284?,D????0.1602??L??????1.25350.92858.7370????9.40056.96365.5275??5.5.52
????1???17?11'19.8''????119?10'37.3''? ??（1）2??????????43?38'03.0''?L?3?????1410.597m???S1????S????1110.0915m??2?????549.314m?XXA?X??A? （2）
????14.493mY??YA??A?87.30292.06?DX(mm2) ???2??92.0629.22?5.5.53
条件方程系数阵：
1.0000 1.0000 1.0000 1.0000 0.0000 0.0000 0.0000 3.6203 2.6347 1.6723 0.0000 0.1269 0.1272 -0.0356 0.1900 0.0638 -0.0595 0.0000 -0.9919 -0.9919 -0.9994 条件方程常数项阵： -14.00 -30.47 -14.12 法方程系数阵：
4.0000 7.9272 0.1943 7.9272 22.9141 0.3686 0.1943 0.3686 7.4763 法方程常数项阵： -14.00 -30.47