误差理论与测量平差基础习题集5(参考答案)

0.02194 -0.012057 -0.008394 -0.009375 0.004329 0.002783 -0.012057 0.071703 0.025163 0.004329 -0.022359 -0.008124 -0.008394 0.025163 0.023362 0.002783 -0.008124 -0.007655 -0.009375 0.004329 0.002783 -0.032795 -0.005007 -0.007843 0.004329 0.022359 -0.008124 -0.005007 0.091219 0.026785 0.002783 -0.008124 -0.007655 -0.007843 0.026785 0.023329

联系数K??574.518449.4542?824.2347761.4162267.6609?548.5693? 改正数

V???6.3?1.91.96.21.8?1.92.6?7.1?3.1?10.33.04.810.2?3.2?4.8?(mm)编号 起点 终点 基线向量平差值/m

X Y Z

1 1 2 85.4750 -59.5950 2 1 3 2398.0736 -719.8032 3 2 3 2312.5986 -660.2083 4 2 4 2057.6473 -645.2854 5 3 4 -254.9514 14.9228

第六章

6.1.04 (1) h?1?X??HA?0

h?2?X??HB?0

(2) h??h111?2(H B?HA?h1?h2)h??h?12(HB?HA?h1?h2) 226.1.05

?1?3.4,?2?3.4,?3?4.2,?4??0.8

????0.6 6.1.06

???0.3?0.30.30.30.30.3?T

X=-7 6.1.07 (a)r=3,u=1,c=4

h1?h4?h5?0 h2?h3?h5?0

h2?h6?X?HA?0

h3?h4?h6?0

(b) r=2,u=1,c=3

h1?h4?h5?0 h2?h3?h5?0 h1?h2?X?0 6.1.08

(a)r=3,u=1,c=4

120.1970 2624.2273 2504.0301 2265.7113 -238.3090 L1?L2?L3?L4?360??0L2?L3?X?0

(b)r=1,u=1,c=2

L1?L2?L3?180??0 L3?X?360??0

6.1.09

X0?HA?h1?8.168m

(1)?1??2??3?6?0

?1?x?0

(2)?1?1.5mm,?2?3.0mm,?3?1.5mm

??9.1695m (3)HP16.1.10

n=5,t=3,r=2,u=1,c=3

(1)设X0?h1?h2?1.563m ?1??4??5?3?0 ?2??3??5?9?0

??0 ?1??2?x?3?(2)??1?1??0?1310112?10??K1???3??K??9?0???2?????0 ?1??K3??0??????0??K4??0???1.560m ???3mm,x??H(3)xbc??11.560m Hc6.2.11

n=5,t=3,r=2,u=1,c=3 ?1??4??5??1?0 ????????0

???3?0 ?1??2?xQ?1,P?1

2352?x?x6.2.12

n=4,t=3,r=1,u=1,c=2 32 Qx,P????x236.2.13

?,列条件方程: 设∠ADB的平差值为??1??2??6??1?0 ?3??4??5??2?0

???3?0 ?5??6?xQx??0.75 Px??1.336.2.16

???2.9452.9452.0552.055??(m),X??55.945(m) (1)L1 (2)Qx??46.3.17

X0?HA?h1?h0?12.05(m)

(1) ?1??2??3?4?0 ?3??4??5?6?0 ?5??6??7?8?0

??0 ?1??3???51?14?(2) ?01??20??00(3) v???10??K1??4??K??6?100???2???520??K3????8??0

?????24?1??K4??0???0?10????????0??T?1?2?4044?(mm)

02???1.269?3.3812.1121.609?3.7212.9350.786?T(m) L(4) ?20?104/3?34.7(mm2) Q???0.5

?2 ????17.3(mm),????4.2(mm)

6.3.18

?=∠AEC,??=∠CED,??=∠DEB (1)需设3个参数,?123(2)n=8,t=6,r=2,u=3,c=5

共有5个方程,其中圆形条件4个,极条件1个: ??L??L??X??180??0 L1231??L??X??180??0 L452??L??L??X??180??0 L6783??L??X??X??X??180??0 L18123sin(L1?L2)sinL4sinL6sinL8?1?0??sinL3sinL5sin(L7?L8)sinL1

6.3.19

???ADB,X0?103?10'06\ (1)设X(2)?1??6=0

?2??3+?4+?5?17\?0

?0.955?1?0.220?2?0.731?3+0.649?4?0.369?5?0.959?6?2\?0

(3)法方程:

??200.0041??K1??0??04-0.2580?????K??2???-17??=0?0.004-0.2582.990??1000?? ??K3??2??x?????0??K??04.23-0.3??

x??0 V = [0.3 4.2 4.4 4 4.3 -0.3]T(″)

L?? [40°23′58.3″ 37°11′40.2″ 53°49′06.4″ 57°0009.0′″31°59′04.3″ 36°25′55.7″] 6.3.20 (1)平差值:

????L1= 100°38′09″,L2= 27°39′33″,L3= 29°20′36″,L4= 50°

29′28″,

?L5= 105°11′24″,?L6= 47°39′

??(2)Xp1

= 6211.510 m,Xp2

= 6025.148 m

Y??p1

= 3258.283 m,Yp1 = 4748.851 m, σXp1

= 21.52 mm,σXp1

= 13.30 mm σ

Xp2 = 21.98 mm,σ

Xp2

= 12.25 mm

6.3.21

X0 = L1·L2 = 230.70(cm2)

(1)V = [ -0.04 -0.02 0.09 ] T (cm)

L?? [ 18.61 12.35 22.34 ] T(cm)

?(2) X = 229.83(cm2) Qx?= 0.427

Px?= 2.342

6.3.22

??设X = SCD,X0 = 210.240m

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