工业大学测量学一作业题[2015].doc

测量学一作业题一、如图2-19所示，测区附近有一已知高程的水准点，欲求得1、2、3点的高程，可从点起进行水准测量，经过1、2、3点再回到点，形成一个闭合水准路线。各段观测高差及路线长度如图所示。 闭合水准导线图2-20 附合水准导线二、如图所示，从已知高程的水准点开始测量，附合至另一己知高程的水准点。今欲测点高程。三、竖直角观测数据列于下表中，试完成其记录和计算。No.94356天顶为0测站目标盘左读数 盘右读数 水平始读数 竖直角 天顶距 98 41.3261 18.886 16.4250 35.797 26.5四、用光学经纬仪按测回法观测水平角，测得水平度盘的盘左和盘右读数如图所示，列表进行记录和计算，并说明角值是否在允许误差范围内？若在允许误差范围内，一测回角值是多少？如超限，该如何处理 ？ 五、丈量、两段水平距离。往测为126.780，返测为126.735；往测为357.235，这测为357.190。问哪一段丈量精确？为什么？两段距离的丈量结果各为多少？六、已知点的磁偏角为，过点的真子午线与中央子午线的收敛角，直线的坐标方位角，求的真方位角和磁方位角，并绘图加以说明。七、何谓直线的正、反坐标方位角？若按下图所示传递坐标方位角，已知,测得，求边的坐标方位角。八、甲、乙两组对同一个平面三角形分别观测了10次，三角形内角和的真误差为甲组 乙组 计算这两组观测值的平均误差和中误差。九、独立观测值 、的中误差分别为、，某函数为，求其中误差。十、某建筑物基础设计为正六边形。竣工测量中，分甲、乙两组测定其周长。甲组丈量一条边长为，乙组丈量六条边长分别为则、。丈量的中误差均为，试比较两组所求周长的精度。十一、如图所示的附合导线中，已标出已知数据和观测数据，计算2，3两点的坐标。习题5-14图十二、在带高斯平面系中，、两点的坐标为：，；，。试计算 边的坐标方位角和边长。十三、地面某点的经度，试求该地面点所在带和带的带号及其中央子午线的经度。十四、根据图绘制M、N两点间的断面图。十五、已知某区地形点坐标（点号，X，Y，Z）如下，试画出等高线图。1,500000.0000,300000.0000,650.0000,4,500000.0000,300012.4887,650.6613,5,499993.6843,300004.8272,650.2938,6,500007.6585,300010.5926,650.7039,7,500023.0234,300019.0523,652.2059,8,500030.0383,300013.7579,653.0508,9,500036.9233,299999.5813,655.1371,10,500043.3832,299985.8998,655.1297,11,500042.0911,299971.4638,651.3122,12,500040.0173,299959.1801,647.2404,13,500037.6305,299944.6533,644.5392,14,500038.0621,299931.0245,640.7354,15,500038.2016,299923.8026,639.1459,16,500033.7875,299908.5310,633.9054,17,500024.7619,299911.9132,631.5592,18,500033.1310,299916.7466,635.6923,19,500033.6018,299924.6127,636.9840,20,500027.7382,299924.8335,633.8691,21,500030.1264,299927.6873,637.1033,22,500030.4651,299938.0981,640.1747,23,500030.9718,299942.0213,640.7937,24,500032.1993,299944.5369,641.6695,25,500037.2834,299947.4849,644.9099,26,500036.4741,299952.0597,645.5318,27,500034.3590,299956.5598,644.4035,28,500026.3210,299941.9508,625.4035,29,500038.1757,299961.9861,647.9183,30,500035.7695,299961.8460,645.2685,31,500035.8220,299973.1844,649.6052,32,500036.6379,299981.7880,651.3210,33,500034.8227,299982.9322,651.1158,34,500033.8373,299988.4226,653.7051,35,500032.2139,299988.0931,651.1798,37,500033.1305,299996.8901,653.3643,38,500030.9675,299997.0992,652.6075,39,500030.8864,300002.9057,653.1246,40,500024.6335,300008.9151,650.7803,41,500029.2743,300001.7030,649.1154,42,500027.1446,299992.4251,645.1772,43,500027.9917,299980.2270,639.2619,44,500030.3691,299972.8612,635.5062,45,500028.8083,299967.5815,632.4163,46,500028.5147,299951.2116,626.7351,47,500027.8657,299935.7395,624.9474,48,500024.8098,299922.7290,623.1860,49,500014.3811,299918.8940,623.5641,50,500005.6093,299909.1494,623.5910,51,499999.8701,299927.9743,623.9831,52,499985.5920,299949.7636,627.8775,53,500006.5200,299932.9787,624.2305,54,500017.6549,299941.1395,625.3937,55,500026.0027,299957.5869,628.0127,56,500007.9428,299956.2791,628.5563,57,499993.1361,299956.9157,628.8152,58,499977.8380,299961.8909,631.4972,59,499978.3143,299973.3781,638.5733,60,499992.1218,299972.4053,638.9551,61,500007.0593,299973.9004,639.1250,62,500027.7562,299979.2315,638.9257,63,500026.6599,299983.2480,639.8592,64,500013.6703,299979.9947,639.6206,65,499997.5637,299978.0300,639.6537,66,499981.4610,299977.3339,639.6588,67,499971.3398,299991.7726,649.2741,68,499989.1837,299997.5224,649.8099,69,500011.1585,300001.0635,650.1476,70,500027.2054,300003.9006,650.1935,71,500039.7446,300019.0751,654.1577,72,500049.6378,299999.4535,657.7609,73,500059.0023,299984.9459,658.0090,74,500068.6943,299972.5196,660.0112,