测量学一作业题[1]

一、如图2-19所示，测区附近有一已知高程的水准点BM5，欲求得1、2、3点的高程，可从BM5点起进行水准测量，经过1、2、3点再回到BM5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。

BM5h1=-1.999m1h2=-1.420m2D1=1.10km=0D2.75kmDh4=14=0.9.635kmfh容

30L

8m0km2.=1D325m8.1h3=3 闭合水准导线 图 2-21 闭合水准路线二、如图所示，从已知高程的水准点BM1开始测量，附合至另一己知高程的水准点BM2。今欲测B01、B02点高程。fh容12n

n3=3站BM1n1=4站h1=-0.312n3.791+h2=2=3站B02h3=-0.751BM2B01 图2-20 附合水准导线

三、竖直角观测数据列于下表中，试完成其记录和计算。 测站 DJ6 目标 盘左读数L ° ′ 98 41.3 86 16.4 97 26.5 No.94356 盘右读数R ° ′ 261 18.8 250 35.7 水平始读数MO ° ′ 竖直角 ° ′ 天顶为0° 天顶距Z ° ′ A B C O D

四、用DJ6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515'，过A点的真子午线与中央子午线的收敛角2'，直线

AC的坐标方位角AC13010'，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AB1536'27\",

测得14954'56\"，220327'36\"，38238'14\"，46247'52\"，

511448'25\"，求DC边的坐标方位角DC。

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 4\",3\",2\",5\",4\",6\",4\",5\",4\",6\"。 乙组 0\",2\",15\",1\",0\",2\",0\",11， 0\",12\"。 计算这两组观测值的平均误差和中误差。

九、独立观测值 l1、l2、l3的中误差分别为m13mm、m22mm、m36mm，某函数为z491l1l2l3，求其中误差mz。 141414

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a1、a2、a3、a4、a5、a6。丈量的中误差均为ma，试比较两组所求周长p的精度。

十一、如图所示的附合导线B23C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A带高斯平面系中，A、B两点的坐标为：XA3762453.24m，

YA18495321.67m；XB3768274.53m，YB18520478.39m。试计算 AB边的坐

标方位角AB和边长SAB。

十三、地面某点的经度11410'20\"，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,

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,