线路坐标计算程式表

1.直线坐标计算直线上一点坐标公式如下：COS αl X X A ⨯+=SIN αl Y Y A ⨯+=X A ：直线上一点A 的X 坐标（待求点里程-A 点里程必须大于零） Y A ：直线上一点A 的Y 坐标（待求点里程-A 点里程必须大于零） l : 待求点里程-A 点里程α：直线方位角（A 点至待求点的方位角） 2.圆曲线坐标计算圆曲线上一点坐标计算公式如下：)90K πR 180lK COS(αR )90K COS(αR X X 起起起︒⨯-⨯+⨯+︒⨯+⨯+= )90K πR180l K SIN(αR )90K SIN(αR Y Y 起起起︒⨯-⨯+⨯+︒⨯+⨯+=切线方位角πR180lK α起⨯+=,起始方位角β+=ZH 起αα X 起：圆曲线起点处的X 坐标 Y 起：圆曲线起点处的Y 坐标α起：圆曲线起点处的切线方位角 R ：圆曲线半径l ：待求点里程-圆曲线起点里程 K ：右转取1，左转取-1 偏移：K1：右转取1，左转取-1，K2：右转取-1，左转取+1，3.带有圆曲线的缓和曲线（缓和曲线为完整缓和曲线）坐标计算：（1）曲线要素的计算：①切线角：π1802Rl β11︒⨯=，π1802Rl β22︒⨯=②内移值：24R l p 211=，24Rl p 222= ③切线增值：23111240R l 2l m -=，23222240R l 2l m -= ④切线长：sin αp p m 2αtan )p (R T 21111--+⨯+=sin αp p m 2αtan)p (R T 21222-++⨯+= ⑤曲线长:2121l l 180πR )ββ(αL ++︒⨯⨯--=⑥外矢距：R OS E -+=1112α)/C p (R)90K2πR 180l K1COS(αE)-R （)90K COS(αR X X 起起起︒⨯+⨯+⨯+︒⨯+⨯+=⑦缓和曲线总偏角:/310βδ= 其中:β1：前缓和曲线切线角 β2：后缓和曲线切线角 p 1：前缓和曲线内移值 p 2：后缓和曲线内移值 m 1：前缓和曲线切线增值 m 2：后缓和曲线切线增值 T 1：前切线长 T 2：后切线长 l 1：前缓和曲线长 l 2：后缓和曲线长 R ：为圆曲线半径 E ：外矢距0δ：缓和曲线总偏角（2）前缓和曲线一点坐标计算公式如下：)πRl 30l K COS(α)90Rl (l X X s12ZHs1225ZH l⨯+⨯-+=)πRl 30l K SIN(α)90Rl (l Y Y s12ZHs1225ZH l⨯+⨯-+=切线方位角=s12ZHπRl 90l K α⨯+X ZH ：ZH 点X 坐标 Y ZH ：ZH 点Y 坐标K:右转取1，左转取-1 R ：圆曲线半径l ：待求点里程-ZH 点里程 l s1:前缓和曲线长度偏移:（3）后缓和曲线一点坐标计算公式如下：)πRl 30l K 180COS(α)90R l (l X X s22HZs2225HZ l ⨯-︒+⨯-+=)πRl 30l K 180SIN(α)90Rl (l Y Y s22HZs2225HZ l⨯-︒+⨯-+=切线方位角=s22HZπRl 90l K α⨯- )90K πRl 90l K COS(α)E l (X 偏X s12ZH s1l ︒⨯+⨯+⨯⨯+=X：HZ点X坐标HZY：HZ点Y坐标HZK:右转取1，左转取-1R：圆曲线半径l： HZ点里程- 待求点里程l s2:后缓和曲线长度。

逐 桩 坐 标 表ZY点或YZ点坐标ZY点或YZ点R L E N左右偏左侧右侧F F弧度E弧度N弧度F弧度F S 桩号X Y半径长度切线角方位角方向左侧右侧左侧右侧横向距离8525.8823590080.3521849.9370.000173.78-909083.8263.780 3.033 1.46 4.60412 8525.8823590080.3521849.93714.120.324173.78-909083.8263.780.0056 3.033 1.46 4.60412 8525.8823590080.3521849.93734.120.782173.78-909083.8263.780.0136 3.033 1.46 4.60412 8525.8823590080.3521849.93754.12 1.24173.78-909083.8263.780.0216 3.033 1.46 4.60412 8525.8823590080.3521849.93774.12 1.699173.78-909083.8263.780.0296 3.033 1.46 4.60412 8525.8823590080.3521849.93794.12 2.157173.78-909083.8263.780.0376 3.033 1.46 4.60412 8525.8823590080.3521849.937114.12 2.615173.78-909083.8263.780.0456 3.033 1.46 4.60412 8525.8823590080.3521849.937134.12 3.074173.78-909083.8263.780.0536 3.033 1.46 4.60412 8525.8823590080.3521849.937154.12 3.532173.78-909083.8263.780.0616 3.033 1.46 4.60412 8525.8823590080.3521849.937174.12 3.99173.78-909083.8263.780.0696 3.033 1.46 4.60412 8525.8823590080.3521849.937194.12 4.449173.78-909083.8263.780.0776 3.033 1.46 4.60412 8525.8823590080.3521849.937214.12 4.907173.78-909083.8263.780.0856 3.033 1.46 4.60412 8525.8823590080.3521849.937234.12 5.366173.78-909083.8263.780.0936 3.033 1.46 4.60412 8525.8823590080.3521849.937254.12 5.824173.78-909083.8263.780.1016 3.033 1.46 4.60412 8525.8823590080.3521849.937274.12 6.282173.78-909083.8263.780.1096 3.033 1.46 4.60412 8525.8823590080.3521849.937294.12 6.741173.78-909083.8263.780.1176 3.033 1.46 4.60412 8525.8823590080.3521849.937314.127.199173.78-909083.8263.780.1256 3.033 1.46 4.60412 8525.8823590080.3521849.937334.127.657173.78-909083.8263.780.1336 3.033 1.46 4.60412 8525.8823590080.3521849.937354.128.116173.78-909083.8263.780.1416 3.033 1.46 4.60412 8525.8823590080.3521849.937374.128.574173.78-909083.8263.780.1496 3.033 1.46 4.6047.995 8525.8823590080.3521849.937394.129.033173.78-909083.8263.780.1576 3.033 1.46 4.6047.995 8525.8823590080.3521849.937414.129.491173.78-909083.8263.780.1656 3.033 1.46 4.6047.995 8525.8823590080.3521849.937434.129.949173.78-909083.8263.780.1736 3.033 1.46 4.6047.995 8525.8823590080.3521849.937454.1210.41173.78-909083.8263.780.1816 3.033 1.46 4.6047.995 8525.8823590080.3521849.937474.1210.87173.78-909083.8263.780.1896 3.033 1.46 4.6047.995ZY点或YZ点坐标ZY点或YZ点R L E N左右偏左侧右侧F F弧度E弧度N弧度F弧度F S 桩号X Y半径长度切线角方位角方向左侧右侧左侧右侧横向距离8525.8823590080.3521849.937494.1211.32173.78-909083.8263.780.1976 3.033 1.46 4.6047.995 8525.8823590080.3521849.937514.1211.78173.78-909083.8263.780.2056 3.033 1.46 4.6047.995 8525.8823590080.3521849.937534.1212.24173.78-909083.8263.780.2136 3.033 1.46 4.6047.995 8525.8823590080.3521849.937554.1212.7173.78-909083.8263.780.2216 3.033 1.46 4.6047.995 8525.8823590080.3521849.937574.1213.16173.78-909083.8263.780.2296 3.033 1.46 4.6047.995 8525.8823590080.3521849.937594.1213.62173.78-909083.8263.780.2376 3.033 1.46 4.6047.995 8525.8823590080.3521849.937614.1214.07173.78-909083.8263.780.2456 3.033 1.46 4.6047.995 8525.8823590080.3521849.937634.1214.53173.78-909083.8263.780.2536 3.033 1.46 4.6047.995 8525.8823590080.3521849.937654.1214.99173.78-909083.8263.780.2616 3.033 1.46 4.6047.995 8525.8823590080.3521849.937674.1215.45173.78-909083.8263.780.2696 3.033 1.46 4.6047.995 8525.8823590080.3521849.937694.1215.91173.78-909083.8263.780.2776 3.033 1.46 4.6047.995 8525.8823590080.3521849.937714.1216.37173.78-909083.8263.780.2856 3.033 1.46 4.6047.995 8525.8823590080.3521849.937734.1216.82173.78-909083.8263.780.2936 3.033 1.46 4.6047.995 8525.8823590080.3521849.937754.1217.28173.78-909083.8263.780.3016 3.033 1.46 4.6047.995 8525.8823590080.3521849.937774.1217.74173.78-909083.8263.780.3096 3.033 1.46 4.6047.995 8525.8823590080.3521849.937775.4817.77173.78-909083.8263.780.3102 3.033 1.46 4.6047.995 ZY点或YZ点坐标ZY点或YZ点R L E N左右偏左侧右侧F F弧度E弧度N弧度F弧度F S 桩号X Y半径长度切线角方位角方向左侧右侧左侧右侧横向距离9301.3663589309.378521933.927300018.6340.356173.781-909084.1264.140.0062 3.033 1.47 4.617.995 9301.3663589309.378521933.927300038.6340.738173.781-909084.5264.520.0129 3.033 1.48 4.6177.995 9301.3663589309.378521933.927300058.634 1.12173.781-909084.9264.90.0195 3.033 1.48 4.6237.995 9301.3663589309.378521933.927300078.634 1.502173.781-909085.3265.280.0262 3.033 1.49 4.637.995 9301.3663589309.378521933.927300098.634 1.884173.781-909085.7265.670.0329 3.033 1.5 4.6377.995 9301.3663589309.378521933.9273000118.634 2.266173.781-909086266.050.0395 3.033 1.5 4.6437.995 9301.3663589309.378521933.9273000138.634 2.648173.781-909086.4266.430.0462 3.033 1.51 4.657.995 9301.3663589309.378521933.9273000158.634 3.03173.781-909086.8266.810.0529 3.033 1.52 4.6577.995ZY点或YZ点坐标ZY点或YZ点R L E N左右偏左侧右侧F F弧度E弧度N弧度F弧度F S 桩号X Y半径长度切线角方位角方向左侧右侧左侧右侧横向距离9301.3663589309.378521933.9273000178.634 3.412173.781-909087.2267.190.0595 3.033 1.52 4.6637.995 9301.3663589309.378521933.9273000198.634 3.794173.781-909087.6267.580.0662 3.033 1.53 4.677.995 9301.3663589309.378521933.9273000218.634 4.176173.781-909088267.960.0729 3.033 1.54 4.6777.995 9301.3663589309.378521933.9273000238.634 4.558173.781-909088.3268.340.0795 3.033 1.54 4.6837.995 9301.3663589309.378521933.9273000258.634 4.94173.781-909088.7268.720.0862 3.033 1.55 4.697.995 9301.3663589309.378521933.9273000278.634 5.322173.781-909089.1269.10.0929 3.033 1.56 4.6977.995 9301.3663589309.378521933.9273000298.634 5.703173.781-909089.5269.490.0995 3.033 1.56 4.7037.995 9301.3663589309.378521933.9273000318.634 6.085173.781-909089.9269.870.1062 3.033 1.57 4.717.995 9301.3663589309.378521933.9273000338.634 6.467173.781-909090.2270.250.1129 3.033 1.58 4.7177.995 9301.3663589309.378521933.9273000353.727 6.756173.781-909090.5270.540.1179 3.033 1.58 4.7227.995 9655.0933588956.29521951.441 4.910.112180.54-909090.5270.540.002 3.151 1.58 4.7227.995 9655.0933588956.29521951.44124.910.571180.54-909090.5270.540.01 3.151 1.58 4.7227.995 9655.0933588956.29521951.44144.91 1.029180.54-909090.5270.540.018 3.151 1.58 4.7227.995 9655.0933588956.29521951.44164.91 1.488180.54-909090.5270.540.026 3.151 1.58 4.7227.995 9655.0933588956.29521951.44184.91 1.946180.54-909090.5270.540.034 3.151 1.58 4.7227.995 9655.0933588956.29521951.441104.91 2.404180.54-909090.5270.540.042 3.151 1.58 4.7227.995 9655.0933588956.29521951.441124.91 2.863180.54-909090.5270.540.05 3.151 1.58 4.7227.995 9655.0933588956.29521951.441144.91 3.321180.54-909090.5270.540.058 3.151 1.58 4.7227.995 9655.0933588956.29521951.441164.91 3.779180.54-909090.5270.540.066 3.151 1.58 4.7227.995 9655.0933588956.29521951.441171.51 3.931180.54-909090.5270.540.0686 3.151 1.58 4.7227.995 9826.6083588784.782521949.831150013.392-0.02180.54-1-909090.5270.56201.67-0.01 1.58 4.7227.995 9826.6083588784.782521949.831150033.392-0.11180.54-1-909090.4270.64201.67-0.04 1.58 4.7247.995 9826.6083588784.782521949.831150053.392-0.27180.54-1-909090.3270.81201.67-0.09 1.58 4.7267.995 9826.6083588784.782521949.831150073.392-0.51180.54-1-909090271.05201.67-0.17 1.57 4.7317.995 9826.6083588784.782521949.831150093.392-0.83180.54-1-909089.7271.36201.67-0.28 1.57 4.7367.995 9826.6083588784.782521949.8311500113.392-1.22180.54-1-909089.3271.76201.67-0.41 1.56 4.7437.995 9826.6083588784.782521949.8311500133.392-1.69180.54-1-909088.9272.22201.67-0.56 1.55 4.7517.995ZY点或YZ点坐标ZY点或YZ点R L E N左右偏左侧右侧F F弧度E弧度N弧度F弧度F S 桩号X Y半径长度切线角方位角方向左侧右侧左侧右侧横向距离9826.6083588784.782521949.8311500153.392-2.23180.54-1-909088.3272.77201.67-0.74 1.54 4.7617.995 9826.6083588784.782521949.8311500173.392-2.85180.54-1-909087.7273.39201.67-0.95 1.53 4.7717.995 9826.6083588784.782521949.8311500193.392-3.54180.54-1-909087274.08201.67-1.18 1.52 4.7847.995 9826.6083588784.782521949.8311500201.667-3.85180.54-1-909086.7274.39201.67-1.28 1.51 4.7897.995 ZY点或YZ点坐标ZY点或YZ点R L E N左右偏左侧右侧F F弧度E弧度N弧度F弧度F S 桩号X Y半径长度切线角方位角方向左侧右侧左侧右侧横向距离10028.2753588583.173521952.455150011.7250.448176.69-1-909086.2266.240.0078 3.084 1.51 4.6477.995 10028.2753588583.173521952.455150031.725 1.212176.69-1-909085.5265.470.0212 3.084 1.49 4.6337.995 10028.2753588583.173521952.455150051.725 1.976176.69-1-909084.7264.710.0345 3.084 1.48 4.627.995 10028.2753588583.173521952.455150071.725 2.74176.69-1-909083.9263.950.0478 3.084 1.47 4.6077.995 10028.2753588583.173521952.455150091.725 3.504176.69-1-909083.2263.180.0612 3.084 1.45 4.5937.995 10028.2753588583.173521952.4551500111.725 4.268176.69-1-909082.4262.420.0745 3.084 1.44 4.587.995 10028.2753588583.173521952.4551500131.725 5.032176.69-1-909081.7261.650.0878 3.084 1.43 4.5677.995 10028.2753588583.173521952.4551500151.725 5.795176.69-1-909080.9260.890.1012 3.084 1.41 4.5537.995 10028.2753588583.173521952.4551500171.725 6.559176.69-1-909080.1260.130.1145 3.084 1.4 4.547.995 10028.2753588583.173521952.4551500191.7257.323176.69-1-909079.4259.360.1278 3.084 1.39 4.5277.995 10028.2753588583.173521952.4551500211.7258.087176.69-1-909078.6258.60.1412 3.084 1.37 4.5137.995 10028.2753588583.173521952.4551500231.7258.851176.69-1-909077.8257.840.1545 3.084 1.36 4.57.995 10028.2753588583.173521952.4551500251.7259.615176.69-1-909077.1257.070.1678 3.084 1.35 4.4877.995 10028.2753588583.173521952.4551500269.1610.28176.69-1-909076.4256.410.1794 3.084 1.33 4.4757.995 9301.3663589309.378521933.9273000998.63419.07173.781-9090103282.850.3329 3.033 1.8 4.9377.995 9301.3663589309.378521933.92730001018.63419.45173.781-9090103283.240.3395 3.033 1.8 4.9437.995 9301.3663589309.378521933.92730001038.63419.84173.781-9090104283.620.3462 3.033 1.81 4.957.9959301.3663589309.378521933.9271098.63420.98173.78-909083.8263.780.3662 3.033 1.46 4.6047.995 9301.3663589309.378521933.9271118.63421.36173.78-909083.8263.780.3729 3.033 1.46 4.6047.995 9301.3663589309.378521933.9271138.63421.75173.78-909083.8263.780.3795 3.033 1.46 4.6047.995 9301.3663589309.378521933.9271158.63422.13173.78-909083.8263.780.3862 3.033 1.46 4.6047.995ZY点或YZ点RL E N 左右偏左侧右侧F F弧度E 弧度N 弧度F弧度F S 桩号X Y半径长度切线角方位角方向左侧右侧左侧右侧横向距离ZY点或YZ点坐标9301.3663589309.378521933.9271178.63422.51173.78-909083.8263.780.3929 3.033 1.46 4.6047.9959301.3663589309.378521933.9271197.73622.88173.78-909083.8263.780.3992 3.033 1.46 4.6047.995ZY点或YZ点R LEN左右偏左侧右侧FF弧度E 弧度N 弧度F弧度F S 桩号X Y半径长度切线角方位角方向左侧右侧左侧右侧横向距离10499.1023588123.637522048.0980.900.021162.55-909072.6252.550.0004 2.837 1.27 4.4087.99510499.1023588123.637522048.09820.900.479162.55-909072.6252.550.0084 2.837 1.27 4.4087.99510499.1023588123.637522048.09840.900.937162.55-909072.6252.550.0164 2.837 1.27 4.4087.99510499.1023588123.637522048.09860.90 1.396162.55-909072.6252.550.0244 2.837 1.27 4.4087.99510499.1023588123.637522048.09880.90 1.854162.55-909072.6252.550.0324 2.837 1.27 4.4087.99510499.1023588123.637522048.098100.90 2.312162.55-909072.6252.550.0404 2.837 1.27 4.4087.99510499.1023588123.637522048.098120.90 2.771162.55-909072.6252.550.0484 2.837 1.27 4.4087.99510499.1023588123.637522048.098140.90 3.229162.55-909072.6252.550.0564 2.837 1.27 4.4087.99510499.1023588123.637522048.098160.90 3.688162.55-909072.6252.550.0644 2.837 1.27 4.4087.99510499.1023588123.637522048.098180.90 4.146162.55-909072.6252.550.0724 2.837 1.27 4.4087.99510499.1023588123.637522048.098200.90 4.604162.55-909072.6252.550.0804 2.837 1.27 4.4087.99510499.1023588123.637522048.098220.90 5.063162.55-909072.6252.550.0884 2.837 1.27 4.4087.99510499.1023588123.637522048.098240.90 5.521162.55-909072.6252.550.0964 2.837 1.27 4.4087.99510499.1023588123.637522048.098260.90 5.979162.55-909072.6252.550.1044 2.837 1.27 4.4087.99510499.1023588123.637522048.098280.90 6.438162.55-909072.6252.550.1124 2.837 1.27 4.4087.99510499.1023588123.637522048.098300.90 6.896162.55-909072.6252.550.1204 2.837 1.27 4.4087.99510499.1023588123.637522048.098320.907.354162.55-909072.6252.550.1284 2.837 1.27 4.4087.99510499.1023588123.637522048.098340.907.813162.55-909072.6252.550.1364 2.837 1.27 4.4087.99510499.1023588123.637522048.098360.908.271162.55-909072.6252.550.1444 2.837 1.27 4.4087.99510499.1023588123.637522048.098380.908.73162.55-909072.6252.550.1524 2.837 1.27 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4.7587.995 12424.3753586234.023522364.158395.639.067182.63-909092.6272.630.1583 3.187 1.62 4.7587.995 12424.3753586234.023522364.158415.639.525182.63-909092.6272.630.1663 3.187 1.62 4.7587.995 12424.3753586234.023522364.158435.639.984182.63-909092.6272.630.1743 3.187 1.62 4.7587.995 12424.3753586234.023522364.158455.6310.44182.63-909092.6272.630.1823 3.187 1.62 4.7587.995ZY点或YZ点坐标ZY点或YZ点R L E N左右偏左侧右侧F F弧度E弧度N弧度F弧度F S 桩号X Y半径长度切线角方位角方向左侧右侧左侧右侧横向距离12424.3753586234.023522364.158475.6310.9182.63-909092.6272.630.1903 3.187 1.62 4.7587.995 12424.3753586234.023522364.158495.6311.36182.63-909092.6272.630.1983 3.187 1.62 4.7587.995 12424.3753586234.023522364.158515.6311.82182.63-909092.6272.630.2063 3.187 1.62 4.7587.995 12424.3753586234.023522364.158535.6312.28182.63-909092.6272.630.2143 3.187 1.62 4.7587.995 12424.3753586234.023522364.158555.6312.73182.63-909092.6272.630.2223 3.187 1.62 4.7587.995 12424.3753586234.023522364.158575.6313.19182.63-909092.6272.630.2303 3.187 1.62 4.7587.995 12424.3753586234.023522364.158595.6313.65182.63-909092.6272.630.2383 3.187 1.62 4.7587.995 12424.3753586234.023522364.158615.6314.11182.63-909092.6272.630.2463 3.187 1.62 4.7587.995 12424.3753586234.023522364.158635.6314.57182.63-909092.6272.630.2543 3.187 1.62 4.7587.995 12424.3753586234.023522364.158655.6315.03182.63-909092.6272.630.2623 3.187 1.62 4.7587.995 12424.3753586234.023522364.158675.6315.48182.63-909092.6272.630.2703 3.187 1.62 4.7587.995 12424.3753586234.023522364.158695.6315.94182.63-909092.6272.630.2783 3.187 1.62 4.7587.995 12424.3753586234.023522364.158715.6316.4182.63-909092.6272.630.2863 3.187 1.62 4.7587.995 12424.3753586234.023522364.158735.6316.86182.63-909092.6272.630.2943 3.187 1.62 4.7587.995 12424.3753586234.023522364.158755.6317.32182.63-909092.6272.630.3023 3.187 1.62 4.7587.995 12424.3753586234.023522364.158775.6317.78182.63-909092.6272.630.3103 3.187 1.62 4.7587.995 12424.3753586234.023522364.158795.6318.23182.63-909092.6272.630.3183 3.187 1.62 4.7587.995 12424.3753586234.023522364.158815.6318.69182.63-909092.6272.630.3263 3.187 1.62 4.7587.995 12424.3753586234.023522364.158835.6319.15182.63-909092.6272.630.3343 3.187 1.62 4.7587.995 12424.3753586234.023522364.158855.6319.61182.63-909092.6272.630.3423 3.187 1.62 4.7587.995 12424.3753586234.023522364.158875.6320.07182.63-909092.6272.630.3503 3.187 1.62 4.7587.995 12424.3753586234.023522364.158895.6320.53182.63-909092.6272.630.3583 3.187 1.62 4.7587.995 12424.3753586234.023522364.158915.6320.98182.63-909092.6272.630.3663 3.187 1.62 4.7587.995 12424.3753586234.023522364.158935.6321.44182.63-909092.6272.630.3743 3.187 1.62 4.7587.995 12424.3753586234.023522364.158955.6321.9182.63-909092.6272.630.3823 3.187 1.62 4.7587.995ZY点或YZ点坐标ZY点或YZ点R L E N左右偏左侧右侧F F弧度E弧度N弧度F弧度F S 桩号X Y半径长度切线角方位角方向左侧右侧左侧右侧横向距离12424.3753586234.023522364.158975.6322.36182.63-909092.6272.630.3903 3.187 1.62 4.7587.995 12424.3753586234.023522364.158995.6322.82182.63-909092.6272.630.3983 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,015.6323.28182.63-909092.6272.630.4063 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,035.6323.73182.63-909092.6272.630.4143 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,055.6324.19182.63-909092.6272.630.4223 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,075.6324.65182.63-909092.6272.630.4303 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,095.6325.11182.63-909092.6272.630.4383 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,115.6325.57182.63-909092.6272.630.4463 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,135.6326.03182.63-909092.6272.630.4543 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,155.6326.48182.63-909092.6272.630.4623 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,175.6326.94182.63-909092.6272.630.4703 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,195.6327.4182.63-909092.6272.630.4783 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,215.6327.86182.63-909092.6272.630.4863 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,235.6328.32182.63-909092.6272.630.4943 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,255.6328.78182.63-909092.6272.630.5023 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,275.6329.24182.63-909092.6272.630.5103 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,295.6329.69182.63-909092.6272.630.5183 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,302.9729.86182.63-909092.6272.630.5212 3.187 1.62 4.7587.995 13727.343584932.426522304.462260012.660.279182.631-909092.9272.90.0049 3.187 1.62 4.7637.995 13727.343584932.426522304.462260032.660.72182.631-909093.3273.350.0126 3.187 1.63 4.7717.995 13727.343584932.426522304.462260052.66 1.16182.631-909093.8273.790.0203 3.187 1.64 4.7787.995 13727.343584932.426522304.462260072.66 1.601182.631-909094.2274.230.0279 3.187 1.64 4.7867.995 13727.343584932.426522304.462260092.66 2.042182.631-909094.7274.670.0356 3.187 1.65 4.7947.995 13727.343584932.426522304.4622600112.66 2.483182.631-909095.1275.110.0433 3.187 1.66 4.8027.995 13727.343584932.426522304.4622600132.66 2.923182.631-909095.5275.550.051 3.187 1.67 4.8097.995 13727.343584932.426522304.4622600152.66 3.364182.631-909096275.990.0587 3.187 1.68 4.8177.995ZY点或YZ点坐标ZY点或YZ点R L E N左右偏左侧右侧F F弧度E弧度N弧度F弧度F S 桩号X Y半径长度切线角方位角方向左侧右侧左侧右侧横向距离13727.343584932.426522304.4622600172.66 3.805182.631-909096.4276.430.0664 3.187 1.68 4.8257.995 13727.343584932.426522304.4622600192.66 4.246182.631-909096.9276.870.0741 3.187 1.69 4.8327.995 13727.343584932.426522304.4622600212.66 4.686182.631-909097.3277.310.0818 3.187 1.7 4.847.995 13727.343584932.426522304.4622600232.66 5.127182.631-909097.8277.750.0895 3.187 1.71 4.8487.995 13727.343584932.426522304.4622600252.66 5.568182.631-909098.2278.190.0972 3.187 1.71 4.8557.995 13727.343584932.426522304.4622600272.66 6.009182.631-909098.6278.630.1049 3.187 1.72 4.8637.995 13727.343584932.426522304.4622600292.66 6.449182.631-909099.1279.080.1126 3.187 1.73 4.8717.995 13727.343584932.426522304.4622600312.66 6.89182.631-909099.5279.520.1203 3.187 1.74 4.8787.995 13727.343584932.426522304.4622600332.667.331182.631-9090100279.960.1279 3.187 1.74 4.8867.995 13727.343584932.426522304.4622600352.667.772182.631-9090100280.40.1356 3.187 1.75 4.8947.995 13727.343584932.426522304.4622600372.668.212182.631-9090101280.840.1433 3.187 1.76 4.9027.995 13727.343584932.426522304.4622600392.668.653182.631-9090101281.280.151 3.187 1.77 4.9097.995 13727.343584932.426522304.4622600412.669.094182.631-9090102281.720.1587 3.187 1.78 4.9177.995 13727.343584932.426522304.4622600432.669.534182.631-9090102282.160.1664 3.187 1.78 4.9257.995 13727.343584932.426522304.4622600452.669.975182.631-9090103282.60.1741 3.187 1.79 4.9327.995 13727.343584932.426522304.4622600472.6610.42182.631-9090103283.040.1818 3.187 1.8 4.947.995 13727.343584932.426522304.4622600492.6610.86182.631-9090103283.480.1895 3.187 1.81 4.9487.995 13727.343584932.426522304.4622600512.6611.3182.631-9090104283.920.1972 3.187 1.81 4.9557.995 13727.343584932.426522304.4622600532.6611.74182.631-9090104284.360.2049 3.187 1.82 4.96312 13727.343584932.426522304.4622600552.6612.18182.631-9090105284.80.2126 3.187 1.83 4.97112 13727.343584932.426522304.4622600572.6612.62182.631-9090105285.250.2203 3.187 1.84 4.97812 13727.343584932.426522304.4622600592.6613.06182.631-9090106285.690.2279 3.187 1.84 4.98612 13727.343584932.426522304.4622600612.6613.5182.631-9090106286.130.2356 3.187 1.85 4.99412 13727.343584932.426522304.4622600632.6613.94182.631-9090107286.570.2433 3.187 1.86 5.00212 13727.343584932.426522304.4622600652.6614.38182.631-9090107287.010.251 3.187 1.87 5.00912 13727.343584932.426522304.4622600672.6614.82182.631-9090107287.450.2587 3.187 1.88 5.01712 13727.343584932.426522304.4622600692.6615.26182.631-9090108287.890.2664 3.187 1.88 5.02512 13727.343584932.426522304.4622600712.6615.7182.631-9090108288.330.2741 3.187 1.89 5.03212 13727.343584932.426522304.4622600732.6616.15182.631-9090109288.770.2818 3.187 1.9 5.0412。

高速公路的一些线路坐标、高程计算公式一、缓和曲线上的点坐标计算已知：①缓和曲线上任一点离ZH点的长度：l②圆曲线的半径：R③缓和曲线的长度：l④转向角系数：K(1或－1)⑤过ZH点的切线方位角：α⑥点ZH的坐标：xZ ，yZ计算过程：说明：当曲线为左转向时，K=1，为右转向时，K=-1，公式中n的取值如下：当计算第二缓和曲线上的点坐标时，则：l为到点HZ的长度α为过点HZ的切线方位角再加上180°K值与计算第一缓和曲线时相反xZ，yZ为点HZ的坐标切线角计算公式：二、圆曲线上的点坐标计算已知：①圆曲线上任一点离ZH点的长度：l②圆曲线的半径：R③缓和曲线的长度：l④转向角系数：K(1或－1)⑤过ZH点的切线方位角：α⑥点ZH的坐标：xZ，yZ计算过程：说明：当曲线为左转向时，K=1，为右转向时，K=-1，公式中n的取值如下：当只知道HZ点的坐标时，则：l为到点HZ的长度α为过点HZ的切线方位角再加上180°K值与知道ZH点坐标时相反x Z ，yZ为点HZ的坐标三、曲线要素计算公式公式中各符号说明：l——任意点到起点的曲线长度（或缓曲上任意点到缓曲起点的长度）l1——第一缓和曲线长度l 2——第二缓和曲线长度l——对应的缓和曲线长度R——圆曲线半径R1——曲线起点处的半径R2——曲线终点处的半径P1——曲线起点处的曲率P2——曲线终点处的曲率α——曲线转角值四、竖曲线上高程计算已知：①第一坡度：i1(上坡为“＋”，下坡为“－”)②第二坡度：i2(上坡为“＋”，下坡为“－”)③变坡点桩号：SZ④变坡点高程：HZ⑤竖曲线的切线长度：T⑥待求点桩号：S计算过程：五、超高缓和过渡段的横坡计算已知：如图，第一横坡：i1、第二横坡：i2、过渡段长度：L、待求处离第二横坡点（过渡段终点）的距离：x 求：待求处的横坡：i解：d=x/Li=(i2-i1)(1-3d2+2d3)+i1六、匝道坐标计算已知：①待求点桩号：K②曲线起点桩号：K③曲线终点桩号：K1④曲线起点坐标：x0，y⑤曲线起点切线方位角：α⑥曲线起点处曲率：P0(左转为“－”，右转为“＋”)⑦曲线终点处曲率：P1(左转为“－”，右转为“＋”)求：①线路匝道上点的坐标：x,y②待求点的切线方位角：αT计算过程：注：sgn(x)函数是取符号函数，当x<0时sgn(x)=-1，当x>0时sgn(x)=1，当x=0时sgn(x)=0。

高速公路的一些线路坐标、高程计算公式(缓和曲线、竖曲线、圆曲线、匝道)一、缓和曲线上的点坐标计算已知：①缓和曲线上任一点离ZH点的长度：l②圆曲线的半径：R③缓和曲线的长度：l0④转向角系数：K(1或－1)⑤过ZH点的切线方位角：α⑥点ZH的坐标：xZ，yZ计算过程：说明：当曲线为左转向时，K=1，为右转向时，K=-1，公式中n的取值如下：当计算第二缓和曲线上的点坐标时，则：l为到点HZ的长度α为过点HZ的切线方位角再加上180°K值与计算第一缓和曲线时相反xZ，yZ为点HZ的坐标切线角计算公式：二、圆曲线上的点坐标计算已知：①圆曲线上任一点离ZH点的长度：l②圆曲线的半径：R③缓和曲线的长度：l0④转向角系数：K(1或－1)⑤过ZH点的切线方位角：α⑥点ZH的坐标：xZ，yZ计算过程：说明：当曲线为左转向时，K=1，为右转向时，K=-1，公式中n的取值如下：当只知道HZ点的坐标时，则：l为到点HZ的长度α为过点HZ的切线方位角再加上180°K值与知道ZH点坐标时相反xZ，yZ为点HZ的坐标三、曲线要素计算公式公式中各符号说明：l——任意点到起点的曲线长度（或缓曲上任意点到缓曲起点的长度）l1——第一缓和曲线长度l2——第二缓和曲线长度l0——对应的缓和曲线长度R——圆曲线半径R1——曲线起点处的半径R2——曲线终点处的半径P1——曲线起点处的曲率P2——曲线终点处的曲率α——曲线转角值四、竖曲线上高程计算已知：①第一坡度：i1(上坡为“＋”，下坡为“－”)②第二坡度：i2(上坡为“＋”，下坡为“－”)③变坡点桩号：SZ④变坡点高程：HZ⑤竖曲线的切线长度：T⑥待求点桩号：S计算过程：五、超高缓和过渡段的横坡计算已知：如图，第一横坡：i1第二横坡：i2过渡段长度：L待求处离第二横坡点（过渡段终点）的距离：x 求：待求处的横坡：i解：d=x/Li=(i2-i1)(1-3d2+2d3)+i1六、匝道坐标计算已知：①待求点桩号：K②曲线起点桩号：K0③曲线终点桩号：K1④曲线起点坐标：x0，y0⑤曲线起点切线方位角：α0⑥曲线起点处曲率：P0(左转为“－”，右转为“＋”)⑦曲线终点处曲率：P1(左转为“－”，右转为“＋”)求：①线路匝道上点的坐标：x,y②待求点的切线方位角：αT计算过程：注：sgn(x)函数是取符号函数，当x<0时sgn(x)=-1，当x>0时sgn(x)=1，当x=0时sgn(x)=0。

1.直线坐标计算直线上一点坐标公式如下：COS αl X X A ⨯+=SIN αl Y Y A ⨯+=X A ：直线上一点A 的X 坐标（待求点里程-A 点里程必须大于零） Y A ：直线上一点A 的Y 坐标（待求点里程-A 点里程必须大于零） l : 待求点里程-A 点里程α：直线方位角（A 点至待求点的方位角） 2.圆曲线坐标计算圆曲线上一点坐标计算公式如下：)90K πR 180lK COS(αR )90K COS(αR X X 起起起︒⨯-⨯+⨯+︒⨯+⨯+= )90K πR180l K SIN(αR )90K SIN(αR Y Y 起起起︒⨯-⨯+⨯+︒⨯+⨯+=切线方位角πR180l K α起⨯+=X 起：圆曲线起点处的X 坐标 Y 起：圆曲线起点处的Y 坐标α起：圆曲线起点处的切线方位角 R ：圆曲线半径l ：待求点里程-圆曲线起点里程 K ：右转取1，左转取-13.带有圆曲线的缓和曲线（缓和曲线为完整缓和曲线）坐标计算：（1）曲线要素的计算：①切线角：π1802Rl β11︒⨯=，π1802Rl β22︒⨯=②内移值：24R l p 211=，24Rl p 222= ③切线增值：23111240R l 2l m -=，23222240R l 2l m -= ④切线长：sin αp p m 2αtan )p (R T 21111--+⨯+=sin αp p m 2αtan)p (R T 21222-++⨯+= ⑤曲线长:2121l l 180πR )ββ(αL ++︒⨯⨯--=其中:β1：前缓和曲线切线角 β2：后缓和曲线切线角 p 1：前缓和曲线内移值 p 2：后缓和曲线内移值 m 1：前缓和曲线切线增值 m 2：后缓和曲线切线增值 T 1：前切线长T 2：后切线长 l 1：前缓和曲线长 l 2：后缓和曲线长 R ：为圆曲线半径（2）前缓和曲线一点坐标计算公式如下：)πRl 30l K COS(α)90Rl (l X X s12ZHs1225ZH l⨯+⨯-+=)πRl 30l K SIN(α)90Rl (l Y Y s12ZHs1225ZH l⨯+⨯-+=切线方位角=s12ZHπRl 90l K α⨯+X ZH ：ZH 点X 坐标 Y ZH ：ZH 点Y 坐标K:右转取1，左转取-1 R ：圆曲线半径l ：待求点里程-ZH 点里程 l s1:前缓和曲线长度（3）后缓和曲线一点坐标计算公式如下：)πRl 30l K 180COS(α)90R l (l X X s22HZs2225HZ l ⨯-︒+⨯-+=)πRl 30l K 180SIN(α)90Rl (l Y Y s22HZs2225HZ l⨯-︒+⨯-+=切线方位角=s22HZπRl 90l K α⨯- X HZ ：HZ 点X 坐标 Y HZ ：HZ 点Y 坐标K:右转取1，左转取-1 R ：圆曲线半径l ： HZ 点里程- 待求点里程 l s2:后缓和曲线长度。

线路中线坐标计算全站仪、RTK测量在工程测量中广泛应用后，运用坐标法放样已成为施工测量的主要方法。

即用全站仪坐标放样功能配合程序计算器，根据测站坐标、后视点坐标、放样点坐标三者的关系放样中线点。

用GNSS RTK放样，将线路中线坐标导入RTK手簿即可放样。

这样测设中线点的主要问题是中线点坐标计算。

一、缓和曲线连同圆曲线坐标计算施工中的中桩坐标获取有2种情况，一是由设计单位提供的设计图表中获取统一坐标系坐标。

二是由线路控制桩控制线路，可在施工标段内建立施工坐标系，计算中线逐桩坐标，以便采用坐标法放样。

（一）直线段坐标计算如图4.8.1所示，直线上一点i的坐标为：式中 xi ，yi——计算点的坐标；x 0，y——直线段已知起点坐标；α——转向点之间的切线方位角；li——直线上起点至计算点距离。

图4.8.1 直线段坐标计算方法（二）缓和曲线及圆曲线段坐标计算1.切线坐标系坐标（1）缓和曲线。

式中 C=Rl（2）圆曲线。

圆曲线各点坐标按式（4.7.8）计算。

2.线路统一坐标系坐标计算如图4.8.2所示，曲线任一点坐标计算步骤如下：（1）计算ZH点坐标。

用相邻两交点已知坐标进行坐标反算，计算出直线段方位角α，选择直线ZJ段起点坐标，按照式（4.8.1），计算ZH点坐标。

（2）计算HZ点坐标。

式中α——转向角，右转向角“＋α”，左转向角“－α”。

（3）计算测设点在切线坐标系的坐标。

测设点位于ZH至HY或HZ至YH之间用式4.8.2。

测设点位于HY至YH之间用式4.7.8。

（4）计算ZH至YH之间的测设点在统一坐标系中的坐标。

——ZH点至计算点i的坐标方位角；式中αZiα——ZH点至JD点的坐标方位角；ZJ“±”号，右转向曲线用“＋”，左转向曲线用“－”。

（5）计算HZ至YH之间的测设点在统一坐标系中的坐标。

式中 xJH——JD至HZ点的坐标方位角；αHi——H点至计算点i的坐标方位角；“∓”号，右转向曲线用“－”，左转向曲线用“＋”。

-12121y -y θ=tan x -x x *cos d*cos(90)-90+90y *sin d*sin(90)-90+90x y D d X D Y D θθθθθ=++±=++±坐标计算一、直线段坐标计算：（方位角计算公式）（左偏为、右偏为）（左偏为、右偏为）（、为已知点坐标、为待求点到已知点距离、为偏距、为直线方位角）二、第一条缓和曲线上任一点坐标计算：（以ZH 点513121011011x d*cos(90)-90+9040**y d*sin(90)-90+906**180*2***(y x *cos y *sin x *sin y *cos L L R M L R ML R M πθθθθ=-+α±=+α±α=α-+-++为原点建立小坐标系）（左偏为、右偏为）（左偏为、右偏为）（用电脑计算转换为弧度）左转曲线，加“”号）通过坐标转换公式把小坐标系内的坐标转换为大坐标系坐标；X=X Y=Y （R 31221d x *sin d*cos(90)-90+902240*y *(1cos )d*sin(90)-90+9024*180*)90*(**M L M M R R M R RL M M R Rθππ=α+-+α±=-α++α±-α=+为圆曲线半径、为缓和曲线长、为所求点到已知点的距离、为前直线方位角、为偏距）三、圆曲线上任一点坐标计算：（以ZH 点为原点建立小坐标系）（左偏为、右偏为）（左偏为、右偏为）（用电脑计算转换为弧度）10110115122(y x *cos y *sin x *sin y *cos d x d*cos(40**M L HZ L L R M θθθθθ-α-+-++=-+α左转曲线加“”号，其中在偏移公式的位置左转曲线加“”号）通过坐标转换公式把小坐标系内的坐标转换为大坐标系坐标；X=X Y=Y （R 为圆曲线半径、为缓和曲线长、为所求点到已知点的距离、为前直线方位角、为偏距）四、第二条缓和曲线上任一点坐标计算（以点为原点建立小坐标系）312101101190)90-90y d*sin(90)90-906**180*2***y x *cos y *sin x *sin y *cos L R ML R M M πθθθθ±=-+α±α=-α-+-++（因为小坐标系的左为大坐标系的右，所以左偏为、右偏为）（因为小坐标系的左为大坐标系的右，所以左偏为、右偏为）（左转曲线，加“”号）通过坐标转换公式把小坐标系内的坐标转换为大坐标系坐标；X=X Y=Y （R 为圆曲线半径、为d x cos sin y sin cos (x cos y sin x sin y cos L U V θθθθθθθθθθ==缓和曲线长、为所求点到已知点的距离、为从HZ 到JD 的方位角、为偏距）五、坐标转换1、大坐标转换为小坐标为；（X-U ）*+(Y-V)*（X-U ）*+(Y-V)*、小坐标系原点在大坐标系中的坐标，X 、Y 为要转换点在大坐标系中的坐标，为小坐标系X 轴的方位角）2、小坐标转换为大坐标为；X=U+*-*Y=V+*+*x y U V θ（、为小坐标系的原点在大坐标系中的坐标，、为要转换点在小坐标系中的坐标，为切线方位角）。

导线点坐标计算表是用于测量工程中导线测量的数据记录和处理表格。

导线测量是测量工程中常用的一种方法，它通过测量导线边长和角度来确定导线点的坐标位置。

导线点坐标计算表通常包括以下内容：
导线点编号：用于标识每个导线点的唯一编号。

观测数据：包括导线边长、水平角和垂直角等观测数据。

这些数据是通过测量仪器获得的。

计算数据：根据观测数据和已知点坐标，计算每个导线点的坐标。

计算过程通常包括角度闭合差计算、坐标增量计算和坐标计算等步骤。

备注：用于记录特殊情况或需要注意的事项。

导线点坐标计算表的格式可以根据具体需要自行设计，但一般应包括以下列：
导线点编号
已知点坐标X、Y（或高程H）
观测数据（导线边长S、水平角A、垂直角V 等）
计算数据（角度闭合差、坐标增量ΔX、ΔY、ΔH，计算坐标X、Y、H 等）
备注
在实际应用中，导线点坐标计算表可以根据测量任务的具体要求进行定制，以满足不同工程的需求。

同时，为了保证计算结果的准确性，需要采用合适的测量仪器和方法，并对观测数据进行严格的质量控制。

请注意，具体导线点坐标计算表的格式和内容可能因不同的测量任务、测量规范和数据处理方法而有所差异。

在实际应用中，请参考相关测量规范和数据处理要求来设计和填写导线点坐标计算表。

线路通用计算坐标程序(5800)程序符号说明：1、DK:放样点里程；2、B ：（B1）放样半宽（平行于S 角非切线边在里程点左右侧的宽度）；3、S （α1）：放样点与其对应的中线点连线和该中线点切线的夹角（左负右正，即放样点在线路左侧S 为负，在右侧为正）4、C ：(B2)垂直于S 角非切线边前后宽度（前正后负）；5、D （α2）切线（或平行于切线的直线）与S 角非切线边的垂直线的夹角（相对于切线逆时针偏转为负，顺时针偏转为正）；显示数据及其意义：输入J ，M ，0，R ，T ，F ，L ，A,I,E,K,B,S,C,D 值后显示第1个 显示 X= 放样点X 坐标 第2个 显示 Y= 放样点Y 坐标第3个 显示 Q= 如果Q=1,则只输入放样点里程、偏距、偏角；否则显示输入曲线要素DK-C 表示放样里程K 值超出本程序的计算范围值 值XLTY20→DimZ ↵(扩展变量)Lbl 0:“JDLC=”?J (交点里程)：“XJ=”?M (交点X 坐标)：“YJ=”?O (交点Y 坐标)：“R=”?R (半径)：“T=”?T (切线长)：“L=”?F (曲线长)：“LS=”?L (缓和曲线长)：“A1=”?A (第一切线方位角)：“A2=”?I (第二切线方位角)：“E =”?E (转角符号)：Goto1↵Lbl1: “DK =”?K: “B1=”?B: “α1=”?S: “B2=”?C: “α2=”?D:J-T →Z (ZH 点里程)：Z+L →Z[1](HY 点里程)：Z+F →Z[3](HZ 点里程)：Z[3]-L →Z[2](YH 点里程)：M+TCos(A+180) →Z[4]( ZH 点X 坐标)：O+TSin(A+180) →Z[5]( ZH 点Y 坐标)：M+TCos(I) →Z[6]( HZ 点X 坐标)：O+TSin(I)→Z[7]( HZ 点Y 坐标)：32:40L L G R-→3030[4]()/()[8]LLZ C os A E G C os Z RRππ++→( HY点X 坐标): 3030[5]()/()[9]LLZ Sin A EG C os Z RRππ++→( HY点Y 坐标):Goto2↵Lbl 2:If K ≤Z:Then Goto A:Else If K ≤Z[1]:Then Goto B: If K ≤Z[2]:Then Goto C:If K ≤Z[3]:Then Goto D:Else Goto1:IfEnd: IfEnd: IfEnd: IfEnd ↵ Lbl A: M+(T+Z-K)Cos(A+180)+BCos(A+S)+CCos(A+D) →X ( 前直线X 坐标)：O+(T+Z-K)Sin(A+180)+B Sin (A+S)+C Sin (A+D) →Y ( 前直线Y 坐标)：GotoE ↵Lbl B:252()():40LK Z K Z P R ---→22230()30()90()[4]()/()()S K Z K Z K Z Z C os A E P C os BC os A E RL RL RL πππ+---++++290()()D K Z C C os A E XRLπ+-++→( 第一缓和曲线X 坐标):22230()30()90()[5]()/()()S K Z K Z K Z Z Sin A E P Cos BSin A E RL RL RL πππ+---++++290()()D K Z C Sin A E YRLπ+-++→( 第一缓和曲线Y 坐标):GotoE ↵LblC:90()90()90(22)[8]2()()()S K Z L K Z K Z L Z RSin C os A BC os A E R R Rπππ+-----++++90(22)()D K Z L CCos A EX Rπ+--++→( 圆曲线X 坐标):90()90()90(22)[9]2()()()S K Z L K Z K Z L Z RSin Sin A BSin A E R R Rπππ+-----++++90(22)()D K Z L CSin A EY Rπ+--++→( 圆曲线Y 坐标): GotoE ↵LblD:252([3])([3]):40LZ K Z K P R ---→22230([3])30([3])90([3])[6](180)/()()S Z K Z K Z K Z C os I EP C os EBC os I ERLRLRLπππ+---++-+-290([3])()D Z K C C os I E XRLπ+-+-→( 第二缓和曲线线X 坐标):22230([3])30([3])90([3])[7](180)/()()S Z K Z K Z K Z Sin I EP C os EBSin I ERLRLRLπππ+---++-+-290([3])()Sin D Z K C I E YRLπ+-+-→( 第二缓和曲线线Y 坐标): GotoE ↵Lbl E: “X=”：X ◢“Y=”：Y ◢ Goto Q ↵Lbl 9: “DK-C ” ◢Goto Q ↵Lbl Q: “Q=”?Q:If Q=1:Then Goto 1:Else Goto 0:IfEnd ↵。