算题(每小题10分,共20分)1.测设水平角∠AOB后,用经纬仪精确测其角值为90°00′48″,已知OB长为120m,问B点在垂直于OB方向上应向内或外移动多少距离,才能使∠AOB改正为90°00′00″?(ρ″=206265″)解:角度较差:Δβ″=∠AOB-∠AOB′=90°00′48″-90°00′00″=+48″移动距离:120"206265"48???≈0.028(m)。因精确测定的角值大于应测设的角值,所以B点应在垂直于OB方向上向角度内移动0.028m才能使∠AOB改正为90°00′00″。2.已知A点坐标xA=285.684m,yB=162.345m,A~B的方位角αAB=296°44′30″,又知P1、P2两点的设计坐标分别为x1=198.324m,y1=86.425m;x2=198.324m,y2=238.265m;以A点为测站,B点为后视方向,按极坐标法测设P1、P2二点,试分别计算测设数据∠BA1、DA1、∠BA2、DA2。解:23954036.8792.75684.285324.198345.162425.8611??????????????arctgarctgxxyyarctgAA2395220239540180α1A????????????20512843044296325922011????????????????BAABA??myxDAAA739.11521211?????23954036.8792.75684.285324.198345.162265.23822??????????????arctgarctgxxyyarctgAA????????2800139239540180α2A???"58512023044296280013922??????????????ABABA??myxDAAA739.11522222?????BP2P1A
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