四等水准测量计算表表(函数公式)

四等水准记录表,,,,,,,,,,,,,

测自至年月日,,,,,,,,,,,,,

时刻始时分天气：,,,,,,,,,,,,,

末时分成象：,,,,,,,,,,,,,

测站编号,后视,下丝,前视,下丝,"方向、尺号

、测点",,,标尺读数,,,高差中数,"设计

高程","备注

（计算

高程）"

,,上丝,,上丝,,,,,,k+黑-红,,,

,后距,,前距,,,,,红面,黑面,K1=4.687,,,

,视距差d,,∑d,,,,,,,K2=4.787,,,

1,207,,39,,后：,1#,YW17,6.632,1.945,0.000,1.653,1043.863,

,183,,20,,前：,2#,Z1,5.080,0.292,-0.001,,,

,24,,19,,后－前,,,1.652,1.653,-0.001,,,

,5,,5,,测段长度L,,,43.000,,,,,

2,229,,31,,后：,2#,Z1,6.975,2.190,0.002,1.983,,

,209,,11,,前：,1#,Z2,4.893,0.207,0.001,,,

,20,,20,,后－前,,,1.982,1.983,-0.001,,,

,0,,5,,测段长度L,,,83.000,,,,,

3,222,,30,,后：,1#,Z2,6.801,2.116,0.002,1.914,,

,201,,10,,前：,2#,Z3,4.989,0.200,-0.002,,,

,21,,20,,后－前,,,1.912,1.916,-0.004,,,

,1,,6,,测段长度L,,,124.000,,,,,

4,237,,38,,后：,2#,Z3,7.061,2.277,0.003,2.003,,

,218,,17,,前：,1#,Z4,4.960,0.273,0.000,,,

,19,,21,,后－前,,,2.001,2.004,-0.003,,,

,-2,,4,,测段长度L,,,164.000,,,,,

5,215,,36,,后：,1#,Z4,6.743,2.059,0.003,1.794,,

,197,,17,,前：,2#,Z5,5.051,0.264,0.000,,,

,18,,19,,后－前,,,1.792,1.795,-0.003,,,

,-1,,3,,测段长度L,,,201.000,,,,,

6,222,,50,,后：,2#,Z5,6.922,2.137,0.002,1.736,,

,205,,30,,前：,1#,Z6,5.088,0.400,-0.001,,,

,17,,20,,后－前,,,1.734,1.737,-0.003,,,

,-3,,0,,测段长度L,,,238.000,,,,,

7,203,,70,,后：,1#,Z6,6.644,1.958,0.001,1.334,,1056.277

,188,,55,,前：,2#,YW18-1,5.412,0.623,-0.002,,1056.277,

,15,,15,,后－前,,,1.332,1.335,-0.003,,,

,0,,0,,测段长度L,,,268.000,,容许闭合差∑f=10mm,,,

8,177,,44,,后：,2#,YW18-1,6.461,1.677,0.003,1.345,1056.277,

,159,,22,,前：,1#,Z7,5.018,0.330,-0.001,,,

,18,,22,,后－前,,,1.343,1.347,-0.004,,,

,-4,,-4,,测段长度L,,,308.000,,,,,

9,276,,41,,后：,1#,Z7,7.321,2.637,0.003,2.359,,

,251,,14,,前：,2#,Z8,5.062,0.278,0.003,,,

,25,,27,,后－前,,,2.359,2.359,0.000,,,

,-2,,-6,,测段长度L,,,360.000,,,,,

10,195,,274,,后：,2#,Z8,6.390,1.601,-0.002,-0.781,,

,126,,202,,前：,1#,Z9,7.070,2.382,-0.001,,,

,69,,72,,后－前,,,-0.780,-0.781,0.001,,,

,-3,,-9,,测段长度L,,,501.000,,,,,

11,51,,190,,后：,1#,Z9,5.090,0.401,-0.002,-1.420,,

,30,,174,,前：,2#,Z10,6.610,1.821,-0.002,,,

,21,,16,,后－前,,,-1.420,-1.420,0.000,,,

,5,,-4,,测段长度L,,,538.000,,,,,

12,65,,298,,后：,2#,Z10,5.155,0.370,0.002,-2.358,,

,9,,247,,前：,1#,Z11,7.412,2.728,0.003,,,

,56,,51,,后－前,,,-2.357,-2.358,0.001,,,

,5,,1,,测段长度L,,,645.000,,,,,

13,55,,240,,后：,1#,Z11,5.055,0.369,0.001,-1.872,,

,19,,208,,前：,2#,Z12,7.029,2.239,-0.003,,,

,36,,32,,后－前,,,-1.874,-1.870,-0.004,,,

,4,,5,,测段长度L,,,713.000,,,,,

14,76,,205,,后：,2#,Z12,5.419,0.632,0.000,-1.307,,

,51,,183,,前：,1#,Z13,6.626,1.939,0.000,,,

,25,,22,,后－前,,,-1.307,-1.307,0.000,,,

,3,,8,,测段长度L,,,760.000,,,,,

15,82,,215,,后：,1#,Z13,5.408,0.720,-0.001,-1.314,,

,62,,192,,前：,2#,Z14,6.821,2.035,0.001,,,

,20,,23,,后－前,,,-1.313,-1.315,0.002,,,

,-3,,5,,测段长度L,,,803.000,,,,,

16,89,,203,,后：,2#,Z14,5.587,0.799,-0.001,-1.132,,

,71,,183,,前：,1#,Z15,6.619,1.931,-0.001,,,

,18,,20,,后－前,,,-1.132,-1.132,0.000,,,

,-2,,3,,测段长度L,,,841.000,,,,,

17,89,,195,,后：,1#,Z15,5.480,0.795,0.002,-1.073,,

,70,,178,,前：,2#,Z16,6.653,1.868,0.002,,,

,19,,17,,后－前,,,-1.073,-1.073,0.000,,,

,2,,5,,测段长度L,,,877.000,,,,,

18,86,,203,,后：,2#,Z16,5.540,0.752,-0.001,-1.174,,

,65,,182,,前：,1#,Z17,6.612,1.927,0.002,,,

,21,,21,,后－前,,,-1.172,-1.175,0.003,,,

,0,,5,,测段长度L,,,919.000,,,,,

19,90,,204,,后：,1#,Z17,5.484,0.798,0.001,-1.137,,

,70,,183,,前：,2#,Z18,6.721,1.935,0.001,,,

,20,,21,,后－前,,,-1.137,-1.137,0.000,,,

,-1,,4,,测段长度L,,,960.000,,,,,

20,67,,239,,后：,2#,Z18,5.329,0.541,-0.001,-1.701,,

,41,,210,,前：,1#,Z19,6.930,2.242,-0.001,,,

,26,,29,,后－前,,,-1.701,-1.701,0.000,,,

,-3,,1,,测段长度L,,,1015.000,,,,,

21,66,,220,,后：,1#,Z19,5.239,0.551,-0.001,-1.530,,

,44,,196,,前：,2#,Z20,6.869,2.081,-0.001,,,

,22,,24,,后－前,,,-1.530,-1.530,0.000,,,

,-2,,-1,,测段长度L,,,1061.000,,,,,

22,39,,219,,后：,2#,Z20,5.014,0.229,0.002,-1.799,,

,7,,186,,前：,1#,Z21,6.712,2.028,0.003,,,

,32,,33,,后－前,,,-1.798,-1.799,0.001,,,

,-1,,-2,,测段长度L,,,1126.000,,,,,

23,101,,134,,后：,1#,Z21,5.539,0.851,-0.001,-0.350,,1041.035

,70,,107,,前：,2#,YW19-1,5.989,1.201,-0.001,,1041.033,

,31,,27,,后－前,,,-0.350,-0.350,0.000,,,

,4,,2,,测段长度L,,,1184.000,,容许闭合差∑f=21mm,,,

24,127,,179,,后：,2#,YW19-1,5.846,1.057,-0.002,-0.545,1041.033,

,85,,142,,前：,1#,Z22,6.290,1.602,-0.001,,,

,42,,37,,后－前,,,-0.544,-0.545,0.001,,,

,5,,7,,测段长度L,,,1263.000,,,,,

25,155,,188,,后：,1#,Z22,5.958,1.270,-0.001,-0.312,,

,99,,129,,前：,2#,Z23,6.370,1.581,-0.002,,,

,56,,59,,后－前,,,-0.312,-0.311,-0.001,,,

,-3,,4,,测段长度L,,,1378.000,,,,,

26,173,,55,,后：,2#,Z23,6.238,1.450,-0.001,1.169,,1041.348

,118,,1,,前：,1#,YW20,4.970,0.281,-0.002,,1041.343,

,55,,54,,后－前,,,1.168,1.169,-0.001,,,

,1,,5,,测段长度L,,,1487.000,,容许闭合差∑f=24mm,,,

27,202,,38,,后：,1#,YW20,6.571,1.885,0.001,1.622,1041.343,

,175,,14,,前：,2#,Z24,5.050,0.262,-0.001,,,

,27,,24,,后－前,,,1.621,1.623,-0.002,,,

,3,,8,,测段长度L,,,1538.000,,,,,

28,224,,32,,后：,2#,Z24,6.940,2.153,0.000,1.938,,

,206,,12,,前：,1#,Z25,4.902,0.216,0.001,,,

,18,,20,,后－前,,,1.938,1.937,0.001,,,

,-2,,6,,测段长度L,,,1576.000,,,,,

29,220,,55,,后：,1#,Z25,6.809,2.122,0.000,1.660,,

,204,,38,,前：,2#,Z26,5.250,0.462,-0.001,,,

,16,,17,,后－前,,,1.659,1.660,-0.001,,,

,-1,,5,,测段长度L,,,1609.000,,,,,

30,223,,48,,后：,2#,Z26,6.935,2.148,0.000,1.746,,

,207,,31,,前：,1#,Z27,5.089,0.402,0.000,,,

,16,,17,,后－前,,,1.746,1.746,0.000,,,

,-1,,4,,测段长度L,,,1642.000,,,,,

31,285,,40,,后：,1#,Z27,7.408,2.720,-0.001,2.438,,

,260,,17,,前：,2#,Z28,5.071,0.282,-0.002,,,

,25,,23,,后－前,,,2.437,2.438,-0.001,,,

,2,,6,,测段长度L,,,1690.000,,,,,

32,203,,70,,后：,2#,Z28,6.757,1.970,0.000,1.344,,

,190,,56,,前：,1#,Z29,5.312,0.627,0.002,,,

,13,,14,,后－前,,,1.345,1.343,0.002,,,

,-1,,5,,测段长度L,,,1717.000,,,,,

33,248,,34,,后：,1#,Z29,7.062,2.378,0.003,2.147,,

,228,,12,,前：,2#,Z30,5.017,0.230,0.000,,,

,20,,22,,后－前,,,2.145,2.148,-0.003,,,

,-2,,3,,测段长度L,,,1759.000,,,,,

34,244,,35,,后：,2#,Z30,7.122,2.337,0.002,2.098,,

,224,,13,,前：,1#,Z31,4.926,0.238,-0.001,,,

,20,,22,,后－前,,,2.096,2.099,-0.003,,,

,-2,,1,,测段长度L,,,1801.000,,,,,

35,241,,67,,后：,1#,Z31,6.972,2.286,0.001,1.730,,

,217,,44,,前：,2#,Z32,5.342,0.557,0.002,,,

,24,,23,,后－前,,,1.730,1.729,0.001,,,

,1,,2,,测段长度L,,,1848.000,,,,,

36,275,,93,,后：,2#,Z32,7.222,2.438,0.003,1.806,,

,213,,33,,前：,1#,Z33,5.318,0.630,-0.001,,,

,62,,60,,后－前,,,1.804,1.808,-0.004,,,

,2,,4,,测段长度L,,,1970.000,,,,,

37,133,,190,,后：,1#,Z33,5.880,1.194,0.001,-0.569,计算高程,原YW21在山上，设置YW21-1转至山下。

,106,,162,,前：,2#,YW21-1,6.550,1.762,-0.001,,1059.305,

,27,,28,,后－前,,,-0.570,-0.568,-0.002,,,

,-1,,3,,测段长度L,,,2025.000,,,,,

38,82,,225,,后：,2#,YW21-1,5.493,0.707,0.001,-1.425,,

,59,,201,,前：,1#,Z34,6.818,2.131,0.000,,,

,23,,24,,后－前,,,-1.425,-1.424,-0.001,,,

,-1,,2,,测段长度L,,,2072.000,,,,,

39,52,,237,,后：,1#,Z34,5.115,0.428,0.000,-1.850,,

,34,,218,,前：,2#,Z35,7.065,2.278,0.000,,,

,18,,19,,后－前,,,-1.850,-1.850,0.000,,,

,-1,,1,,测段长度L,,,2109.000,,,,,

40,31,,252,,后：,2#,Z35,5.011,0.224,0.000,-2.211,,

,13,,235,,前：,1#,Z36,7.121,2.435,0.001,,,

,18,,17,,后－前,,,-2.210,-2.211,0.001,,,

,1,,2,,测段长度L,,,2144.000,,,,,

41,40,,245,,后：,1#,Z36,5.009,0.321,-0.001,-2.054,,

,25,,230,,前：,2#,Z37,7.162,2.376,0.001,,,

,15,,15,,后－前,,,-2.053,-2.055,0.002,,,

,0,,2,,测段长度L,,,2174.000,,,,,

42,36,,228,,后：,2#,Z37,5.070,0.283,0.000,-1.913,,

,21,,212,,前：,1#,Z38,6.882,2.196,0.001,,,

,15,,16,,后－前,,,-1.912,-1.913,0.001,,,

,-1,,1,,测段长度L,,,2205.000,,,,,

43,39,,232,,后：,1#,Z38,4.997,0.310,0.000,-1.934,,

,24,,217,,前：,2#,Z39,7.031,2.243,-0.001,,,

,15,,15,,后－前,,,-1.934,-1.933,-0.001,,,

,0,,1,,测段长度L,,,2235.000,,,,,

44,36,,215,,后：,2#,Z39,5.076,0.288,-0.001,-1.797,,

,22,,203,,前：,1#,Z40,6.772,2.086,0.001,,,

,14,,12,,后－前,,,-1.796,-1.798,0.002,,,

,2,,3,,测段长度L,,,2261.000,,,,,

45,35,,254,,后：,1#,Z40,4.961,0.274,0.000,-2.183,,

,20,,238,,前：,2#,Z41,7.243,2.458,0.002,,,

,15,,16,,后－前,,,-2.182,-2.184,0.002,,,

,-1,,2,,测段长度L,,,2292.000,,,,,

46,31,,255,,后：,2#,Z41,5.019,0.232,0.000,-2.245,,

,16,,240,,前：,1#,Z42,7.163,2.478,0.002,,,

,15,,15,,后－前,,,-2.244,-2.246,0.002,,,

,0,,2,,测段长度L,,,2322.000,,,,,

47,30,,255,,后：,1#,Z42,4.904,0.218,0.001,-2.250,,

,14,,239,,前：,2#,Z43,7.253,2.468,0.002,,,

,16,,16,,后－前,,,-2.249,-2.250,0.001,,,

,0,,2,,测段长度L,,,2354.000,,,,,

48,32,,244,,后：,2#,Z43,5.024,0.238,0.001,-2.125,,

,16,,228,,前：,1#,Z44,7.050,2.362,-0.001,,,

,16,,16,,后－前,,,-2.126,-2.124,-0.002,,,

,0,,2,,测段长度L,,,2386.000,,,,,

49,35,,255,,后：,1#,Z44,4.958,0.271,0.000,-2.198,,

,19,,239,,前：,2#,Z45,7.255,2.469,0.001,,,

,16,,16,,后－前,,,-2.197,-2.198,0.001,,,

,0,,2,,测段长度L,,,2418.000,,,,,

50,32,,263,,后：,2#,Z45,5.003,0.219,0.003,-2.309,,1032.814

,12,,242,,前：,1#,YW22-1,7.212,2.528,0.003,,1032.799,

,20,,21,,后－前,,,-2.309,-2.309,0.000,,,

,-1,,1,,测段长度L,,,2459.000,,容许闭合差∑f=31mm,,,

51,38,,243,,后：,1#,YW22-1,4.967,0.279,-0.001,-2.051,1032.799,

,18,,223,,前：,2#,Z46,7.118,2.329,-0.002,,,

,20,,20,,后－前,,,-2.051,-2.050,-0.001,,,

,0,,1,,测段长度L,,,2499.000,,,,,

52,50,,227,,后：,2#,Z46,5.069,0.280,-0.002,-1.788,,

,6,,188,,前：,1#,Z47,6.755,2.069,0.001,,,

,44,,39,,后－前,,,-1.786,-1.789,0.003,,,

,5,,6,,测段长度L,,,2582.000,,,,,

53,87,,263,,后：,1#,Z47,5.300,0.612,-0.001,-1.764,,

,36,,212,,前：,2#,Z48,7.162,2.378,0.003,,,

,51,,51,,后－前,,,-1.762,-1.766,0.004,,,

,0,,6,,测段长度L,,,2684.000,,,,,

54,97,,187,,后：,2#,Z48,5.571,0.784,0.000,-0.888,,

,60,,148,,前：,1#,Z49,6.359,1.671,-0.001,,,

,37,,39,,后－前,,,-0.888,-0.887,-0.001,,,

,-2,,4,,测段长度L,,,2760.000,,,,,

55,200,,77,,后：,1#,Z49,6.546,1.859,0.000,1.219,,

,172,,51,,前：,2#,Z50,5.428,0.640,-0.001,,,

,28,,26,,后－前,,,1.218,1.219,-0.001,,,

,2,,6,,测段长度L,,,2814.000,,,,,

56,241,,68,,后：,2#,Z50,7.072,2.288,0.003,1.729,,

,217,,44,,前：,1#,Z51,5.245,0.558,0.000,,,

,24,,24,,后－前,,,1.727,1.730,-0.003,,,

,0,,6,,测段长度L,,,2862.000,,,,,

57,277,,44,,后：,1#,Z51,7.298,2.610,-0.001,2.320,,

,245,,14,,前：,2#,Z52,5.078,0.291,0.000,,,

,32,,30,,后－前,,,2.320,2.319,0.001,,,

,2,,8,,测段长度L,,,2924.000,,,,,

58,219,,74,,后：,2#,Z52,6.878,2.091,0.000,1.467,,

,199,,51,,前：,1#,Z53,5.311,0.624,0.000,,,

,20,,23,,后－前,,,1.467,1.467,0.000,,,

,-3,,5,,测段长度L,,,2967.000,,,,,

59,216,,168,,后：,1#,Z53,6.650,1.962,-0.001,0.496,,

,177,,126,,前：,2#,Z54,6.253,1.468,0.002,,,

,39,,42,,后－前,,,0.497,0.494,0.003,,,

,-3,,2,,测段长度L,,,3048.000,,,,,

60,111,,184,,后：,2#,Z54,5.798,1.011,0.000,-0.720,计算高程,原YW23在山上，设置YW23-1转至山下。

,92,,163,,前：,1#,YW23-1,6.418,1.731,0.000,,1032.833,

,19,,21,,后－前,,,-0.720,-0.720,0.000,,,

,-2,,0,,测段长度L,,,3088.000,,,,,

61,108,,170,,后：,1#,YW23-1,5.658,0.971,0.000,-0.619,,

,87,,148,,前：,2#,Z55,6.376,1.590,0.001,,,

,21,,22,,后－前,,,-0.618,-0.619,0.001,,,

,-1,,-1,,测段长度L,,,3131.000,,,,,

62,123,,66,,后：,2#,Z55,5.833,1.049,0.003,0.558,,

,86,,31,,前：,1#,Z56,5.176,0.490,0.001,,,

,37,,35,,后－前,,,0.557,0.559,-0.002,,,

,2,,1,,测段长度L,,,3203.000,,,,,

63,224,,73,,后：,1#,Z56,6.832,2.145,0.000,1.512,,

,205,,54,,前：,2#,Z57,5.420,0.633,0.000,,,

,19,,19,,后－前,,,1.512,1.512,0.000,,,

,0,,1,,测段长度L,,,3241.000,,,,,

64,242,,47,,后：,2#,Z57,7.075,2.289,0.001,1.931,,

,216,,24,,前：,1#,Z58,5.045,0.358,0.000,,,

,26,,23,,后－前,,,1.930,1.931,-0.001,,,

,3,,4,,测段长度L,,,3290.000,,,,,

65,218,,51,,后：,1#,Z58,6.771,2.083,-0.001,1.681,,

,198,,30,,前：,2#,Z59,5.191,0.402,-0.002,,,

,20,,21,,后－前,,,1.680,1.681,-0.001,,,

,-1,,3,,测段长度L,,,3331.000,,,,,

66,229,,53,,后：,2#,Z59,6.981,2.197,0.003,1.771,,

,210,,32,,前：,1#,Z60,5.112,0.425,0.000,,,

,19,,21,,后－前,,,1.769,1.772,-0.003,,,

,-2,,1,,测段长度L,,,3371.000,,,,,

67,243,,55,,后：,1#,Z60,6.997,2.309,-0.001,1.869,,

,219,,33,,前：,2#,Z61,5.229,0.440,-0.002,,,

,24,,22,,后－前,,,1.868,1.869,-0.001,,,

,2,,3,,测段长度L,,,3417.000,,,,,

68,206,,80,,后：,2#,Z61,6.771,1.983,-0.001,1.278,,

,190,,62,,前：,1#,Z62,5.392,0.707,0.002,,,

,16,,18,,后－前,,,1.279,1.276,0.003,,,

,-2,,1,,测段长度L,,,3451.000,,,,,

69,233,,106,,后：,1#,Z62,6.882,2.197,0.002,1.275,,

,206,,79,,前：,2#,Z63,5.709,0.921,-0.001,,,

,27,,27,,后－前,,,1.273,1.276,-0.003,,,

,0,,1,,测段长度L,,,3505.000,,,,,

70,131,,180,,后：,2#,Z63,5.998,1.210,-0.001,-0.506,,

,111,,163,,前：,1#,Z64,6.402,1.717,0.002,,,

,20,,17,,后－前,,,-0.504,-0.507,0.003,,,

,3,,4,,测段长度L,,,3542.000,,,,,

71,64,,245,,后：,1#,Z64,5.217,0.530,0.000,-1.816,,

,42,,224,,前：,2#,Z65,7.132,2.347,0.002,,,

,22,,21,,后－前,,,-1.815,-1.817,0.002,,,

,1,,5,,测段长度L,,,3585.000,,,,,

72,58,,204,,后：,2#,Z65,5.292,0.506,0.001,-1.476,,

,44,,192,,前：,1#,Z66,6.669,1.981,-0.001,,,

,14,,12,,后－前,,,-1.477,-1.475,-0.002,,,

,2,,7,,测段长度L,,,3611.000,,,,,

73,50,,233,,后：,1#,Z66,5.090,0.401,-0.002,-1.816,,

,31,,210,,前：,2#,Z67,7.004,2.218,0.001,,,

,19,,23,,后－前,,,-1.814,-1.817,0.003,,,

,-4,,3,,测段长度L,,,3653.000,,,,,

74,88,,136,,后：,2#,Z67,5.473,0.689,0.003,-0.499,,

,50,,101,,前：,1#,Z68,5.872,1.188,0.003,,,

,38,,35,,后－前,,,-0.499,-0.499,0.000,,,

,3,,6,,测段长度L,,,3726.000,,,,,

75,169,,125,,后：,1#,Z68,6.259,1.572,0.000,0.441,,1038.416

,146,,101,,前：,2#,YW24-1,5.918,1.131,0.000,,1038.390,

,23,,24,,后－前,,,0.441,0.441,0.000,,,

,-1,,5,,测段长度L,,,3773.000,,容许闭合差∑f=38mm,,,

76,242,,93,,后：,2#,YW24-1,6.889,2.100,-0.002,1.489,1038.390,

,179,,30,,前：,1#,Z69,5.300,0.612,-0.001,,,

,63,,63,,后－前,,,1.489,1.488,0.001,,,

,0,,5,,测段长度L,,,3899.000,,,,,

77,221,,132,,后：,1#,Z69,6.611,1.927,0.003,0.878,,

,165,,77,,前：,2#,Z70,5.833,1.049,0.003,,,

,56,,55,,后－前,,,0.878,0.878,0.000,,,

,1,,6,,测段长度L,,,4010.000,,,,,

78,256,,105,,后：,2#,Z70,6.939,2.153,0.001,1.512,,

,175,,23,,前：,1#,Z71,5.329,0.640,-0.002,,,

,81,,82,,后－前,,,1.510,1.513,-0.003,,,

,-1,,5,,测段长度L,,,4173.000,,,,,

79,249,,85,,后：,1#,Z71,6.828,2.140,-