导线网算例网图

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1、平差算例1、图8-1为某支导线，A、B为已知点，1、2为新设的支导线点。已知XA=264.20m，YA=113.30m；XB=464.22m，YB=313.35m。测得b1=120°30¢30²，S1=297.26m；b2=212°12¢30²，S2=187.82m，计算1、2点的坐标。B2S1S2b11b2A图12、设有闭合导线J1—J2—J3—J4—J5的边长和角度（右角）观测值如图8-2所示。已知J1点的坐标X1=540.38m，Y1=1236.70m，J1—J2边的坐标方位角a1,2=4

2、6°57′02′′，计算闭合导线的各点坐标。J2100°39ˊ30"108.43m158.71ma1,2=46°57ˊ02"Χ1=540.38mУ1=1236.70m117°05ˊ24"J196°09ˊ15"109.51m88.10m124°02ˊ42"102°02ˊ09"J5J4133.06m图2闭合导线3、设有附合导线A—B—K1—K2—K3—C—D的边长和角度（右角）观测值如图8-3所示。两端的A、B和C、D为已知边，B、C点的坐标为XB=864.22m，YB=413.35m，XC=970

3、.21m，YC=986.42m，两已知边的坐标方位角为aAB=45°00ˊ00"，aCD=283°51ˊ33"，计算附合导线的各点坐标。DXC=970.21mYC=986.42mCaCD=262°30ˊ18"XB=864.22m283°51ˊ33"YB=413.35mB150.64mK2297.26m187.81m93.40maAB=45°120°30ˊ00"K1145°50ˊ00"K3212°15ˊ30"280°03ˊ24"A图3附合导线图4、导线网最小二乘平差算例本算例为一导线网，网中共有9

4、点，其中A、B、C为个已知点，1、2、3、4、5、6为未知点。方向值的精度为：1.0"，边长的精度为：a=0.005m，b=1.0e-6。测站点名照准点名方向观测值测站点名照准点名方向观测值AB0.00320.0061150235.75C504956.99B40.0062861630.405393322.00410.00A782018.45B1880708.83C10.00520.0032400751.10B2245915.81140.006A0.00C2373633.0631514053.43

5、230.0051154649.81测站点照准点平面观测边长1415534.65221C15360.99132312700.96752511018.77233616165.28263C14265.32444B12846.19865B20573.72246A13191.6926计算内容包括：最小二乘平差。　总点数:9测站总数:9方向值总数:20边长总数:9方位角总数:0已知点坐标:A5597223.90419481274.021B5621551.51119484511.781C5600005.995

6、19517454.956方向观测值:A2B0.00061150235.750B340.0005393322.000A782018.450C210.00032400751.1001240.000C2373633.0602230.00051154649.8103320.000C504956.99062861630.4004210.000B1880708.8305220.000B2245915.81062A0.00031514053.430边长观测值:1415534.6521C15360.991231

7、2700.9682511018.7723616165.2833C14265.3244B12846.1995B20573.7226A13191.693残差二次型：[pvv]=8.094198单位权中误差:m=1.005870====坐标平差值及其精度====No.PXYdXdYmxmyM1A5597223.90419481274.0210.000-0.0000.0000.0000.0002B5621551.51119484511.781-0.0000.0000.0000.0000.0003C560

8、0005.99519517454.9560.0000.0000.0000.0000.000465590111.93219492384.3920.000-0.0000.0260.0200.033545617317.80319496640.2850.0000.0000.0290.0200.036655603953.65019495169.8310.0000.0000.0290.0370.047715614320.83719511883.1110.0000.0000.0230.0260.0358355