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5BM ，欲求得1、2、3点的高程，可从5BM 点起进行水准测量，经过1、2、3点再回到5BM 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。
L f h 30容±=二、如图所示，从已知高程的水准点1BM 开始测量，附合至另一己知高程的水准点2BM 。
今欲测0201B B 、点高程。
n f h 12容±=三、竖直角观测数据列于下表中，试完成其记录和计算。
四、用6DJ 光学经纬仪按测回法观测水平角β，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AB 、CD 两段水平距离。
AB 往测为126.780m ，返测为126.735m ；CD 往测为357.235m ，这测为357.190m 。
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A 点的磁偏角为'155-，过A 点的真子午线与中央子午线的收敛角'2=γ，直线AC 的坐标方位角'10130 =AC α，求AC 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"27'3615=AB α,测得"56'54491 =β，"36'272032 =β，"14'38823 =β，"52'47624=β，"25'481145 =β，求DC 边的坐标方位角DC α。
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 。
"6,"4,"5,"4,"6,"4,"5,"2,"3,"4-+-++---++ 乙组 。
，"12,"011,"0,"2,"0,"1,"15,"2,"0+''+-++- 计算这两组观测值的平均误差和中误差。
九、独立观测值 1l 、2l 、3l 的中误差分别为31±=m mm 、22±=m mm 、63±=m mm ，某函数为321141149144l l l z -+=，求其中误差z m 。
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a ，乙组丈量六条边长分别为则1a 、2a 、3a 、4a 、5a 、6a 。
丈量的中误差均为a m ，试比较两组所求周长p 的精度。
十一、如图所示的附合导线C B 23中，已标出已知数据和观测数据，计算2，3两点的坐标。
十二、在A 带高斯平面系中，A 、B 两点的坐标为：m X A 24.3762453=，m Y A 67.18495321=；m X B 53.3768274=，m Y B 39.18520478=。
试计算 AB 边的坐标方位角AB α和边长AB S 。
十三、地面某点的经度"20'10114︒=λ，试求该地面点所在︒6带和︒3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,习题5-14图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, 75,500073.7256,299963.9624,662.6953, 76,500077.4442,299955.9599,664.3309, 77,500083.8092,299944.8726,668.2385, 78,500100.8466,299923.8855,672.8877, 79,500092.9610,299902.6878,667.4083,。