表格二 测站 1 目标点 E CH5 前视读数 1.218 后视读数 1.698 0.841 高程 0.471 2 CH4 3 CH3 4 CH2 5 CH1 B -4.86 5.701 1.064 -0.356 1.426 1.074 -0.907 1.981 0.868 -1.226 -2.094 0.973 1.396 0.423
二、 水准网、导线网的条件平差及间接平差 （一） 水准网条件平差
如图为路线号
已知B,C两点高程HB=385.2968、HC=386.7212 系数矩阵
1 1 1 1 1 1 1 0 0 0 0 0 0??1 ??A??? 0 1 1 0 0 0 0 0 1 1 1 1 1 1??常数阵l=
-7.6 -1.4
协因数阵Q为单位阵 所以
? 8 2?? Naa=A*Q* AT =?? 2 ?8??所以联系数k1=0.967；k2=-0.067
所以V=Q*AT*K=
[-0.9667 -0.9000 -0.9000 -0.9667 -0.9667 -0.9667 -0.9667 -0.9667 0.0667 0.0667 0.0667 0.0667 0.0667 0.0667]mm
T? -0.9667??2.959?????? -0.9000??2.071?? -0.9000??1.335?????? -0.9667???0.188?? -0.9667???3.757?????? -0.9667???2.577????? -0.9667?0.720? ； 所以h??? V?Q*AT*K??? -0.9667???0.563????? 0.06670.471????? 0.0667???4.860?????? 0.0667???0.356?? 0.0667???0.907?????? 0.0667???1.226????? 0.06670.423????（二） 水准网间接平差
设D、F、G、H、I、A、CH5、CH4、CH3、CH2、CH1点高程X1、X2、X3、X4、X5、X6、
^^^^^^X7、X8、X9、X10、X11、X12作为参数
取
^^^^^^X^?x^?HC?h111X^?x^?H22C?h1?h2X^?x^?HC?h1?h2?h333X^?x^?HC?h1?h2?h3?h444X^?x^?H55B?h6?h7?h8X^?x^?HB?h7?h668X^?x^?H77B?h8X^?x^?HC?h1?h82?h89X^?x^?H99C?h1?h2?h9?h10X^?x^?H?h10B?h1213?h1014X^?x^
?H1111C?h13?h14X^?x^?H1212C?h14
所以得到误差方程，其系数矩阵
?? 1 0 0 0 0 0 0 ? -1 1 0 0 0 0 0 ?? 0 -1 1 0 0 0 0 ?? 0 0 -1 1 0 0 0 ? 0 0 0 -1 1 0 0 ?? 0 0 0 0 -1 1 0 B?? 0 0 0 0 0 -1 1 ?? 0 0 0 0 0 0 -1 ? 0 -1 0 0 0 0 0 ?? 0 0 0 0 0 0 0 ?? 0 0 0 0 0 0 0 ? 0 0 0 0 0 0 0 ?? 0 0 0 0 0 0 0 ? 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 0 -1 1 0 0 -1 0 0 0 0 0 0 0 0?0 0??0 0?0 0??0 0?0 0??0 0??0 0?0 0??0 0?0 0??1 0?-1 1??0 1?? 常数矩阵
Tl??0 0 0 0 -7.6 0 0 0 0 0 1.4 0 0 0?
权阵P为单位阵
所以
NBB? 2 -1 0 0 0 0 0 0 0 0 0 0???? -1 3 -1 0 0 0 0 -1 0 0 0 0?? 0 -1 2 -1 0 0 0 0 0 0 0 0???? 0 0 -1 2 -1 0 0 0 0 0 0 0?? 0 0 0 -1 2 -1 0 0 0 0 0 0???? 0 0 0 0 -1 2 -1 0 0 0 0 0??BT*P*B???
? 0 0 0 0 0 -1 2 0 0 0 0 0?? 0 -1 0 0 0 0 0 2 -1 0 0 0??? 0 0 0 0 0 0 0 -1 2 -1 0 0??? 0 0 0 0 0 0 0 0 -1 2 -1 0???? 0 0 0 0 0 0 0 0 0 -1 2 -1?? 0 0 0 0 0 0 0 0 0 0 -1 2???TW?BT*P*l??0 0 0 7.6 -7.6 0 0 0 -1.4 1.4 0 0?
所以 所以
? 0.6200??? 0.6200??? 0.6200???? 1.2400?1.0600?? ??? 2.3000? 1.0600????? -14.1400?? 3.3600???? -3.1800?? 1.0600?????^^? -2.1200? 1.0600?1??x?Nbb*W??V?B*x?l??? -1.06001.0600?????? 0.8000? -0.4400????? -0.4400?? 0.3600???? 1.3200? 2.3600????? -0.4400?? 0.8800???? 0.4400?? -0.4400?????? 0.4400?