1、程序目錄曲線主點樁號與坐標(biāo)計算!A1直線段坐標(biāo)計算!A1方位角計算及隨機!A1卵型曲線隱藏計算!A1卵型曲線主點樁號計算!A1附合導(dǎo)線平差!A1水準(zhǔn)平差!A1四等水準(zhǔn)!A1四等水準(zhǔn)數(shù)據(jù)反推!A1自由測站!A1圓曲線圓心法!A1豎曲線!A1前方交會!A1參考橢球與高斯投影計算!A1高斯平面距離值!A1高斯投影坐標(biāo)正算!A1坐標(biāo)換帶計算!A1緩和曲線-1!A1圓曲線支矩法!A1緩和曲線-2!A1工程、國家坐標(biāo)換算!A1超高橫坡計算!A1求弦長或弧長!A1不完整緩和曲線!A1曲曲線線計計算算要要素素表表( (已已知知條條件件) )交點樁號交點坐標(biāo)轉(zhuǎn)角值方向轉(zhuǎn)角值曲線半徑緩和曲線長緩和曲線長JDN(X

2、)E(Y)左+1,右-1 （度）（弧度）RLS1LS284214.68529269.533354662.765113305413.515055560.235882218950120120133054.基基本本要要素素結(jié)結(jié)果果表表內(nèi)移值內(nèi)移值切線增值切線增值ZH至JD方位角緩和曲線角緩和曲線角切線長p1p2q1q2 （度）（弧度） 1 2T10.6310.63159.99259.9921334313133.72027782.3338591240.0630.063172.6331334313.ZH至HY支矩坐標(biāo)切線長圓曲線長曲線長JD至ZH方位角 JD至HZ方位角HZ至JD方位角HY至JD方位角N

3、(x)E(y)T2LyL（弧度）（弧度）（弧度）（度）（度）（弧度）119.9522.526172.633104.088344.0885.4754517772.0979769065.239569559300.205222230012192.270701229曲曲線線主主點點樁樁號號、坐坐標(biāo)標(biāo)結(jié)結(jié)果果表表ZH樁號HY樁號路線方向QZ樁號YH樁號HZ樁號84042.04784162.047左+1,右-184214.09184266.13584386.135N(X)E(Y)N(X)E(Y)1N(X)E(Y)N(X)E(Y)N(X)E(Y)529388.846354537.999529307.7683

4、54626.437529245.212354709.564529182.681354811.960備備注注：此此程程序序適適用用于于對對稱稱、不不對對稱稱緩緩和和曲曲線線以以及及圓圓曲曲線線，當(dāng)當(dāng)為為對對稱稱緩緩和和曲曲線線時時，LS1=LS2;LS1=LS2;當(dāng)當(dāng)為為圓圓曲曲線線時時，LS1=LS2=0LS1=LS2=0。涂涂紅紅處處輸輸入入變變量量K84+042.047至K84+386.135任意點樁號里程差W支矩x坐標(biāo)支矩y坐標(biāo)至起點距離切線角距中樁距離待求點坐標(biāo)WCD(C2+D2)E左+,右-N(X)E(Y)8420037.9530000.0399508670529283.907354

5、655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0

6、399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.039950867-6529279.167354652.2698420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.9073546

7、55.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.03

8、99508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655

9、.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.039950867-6529279.167354652.2698420037.9530000.039

10、9508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.9488420037.9530000.0399508670529283.907354655.948直直線線段段計計算算要要素素表表( (已已知知條條件件) )起算點樁號起算點坐標(biāo)起算點至JD方位角（K）N G(X)H(Y) （度）（弧度）83500529763.476354146.251334313133.72027782.3338591241334313.任意點樁

11、號里程差距中樁距離待求點坐標(biāo)X待求點坐標(biāo)YW左+，右-N(X)E(Y)8350000529763.476354146.250836001000529694.362354218.522837002000529625.248354290.795838003000529556.135354363.067839004000529487.021354435.339840005000529417.907354507.611841006000529348.793354579.884842007000529279.679354652.156843008000529210.565354724.428835000

12、0529763.476354146.250836001000529694.362354218.522837002000529625.248354290.795838003000529556.135354363.067839004000529487.021354435.339840005000529417.907354507.611841006000529348.793354579.884842007000529279.679354652.156843008000529210.565354724.4288350000529763.476354146.250836001000529694.3623

13、54218.522837002000529625.248354290.795838003000529556.135354363.067839004000529487.021354435.339840005000529417.907354507.611841006000529348.793354579.884842007000529279.679354652.156843008000529210.565354724.428方方位位角角計計算算程程序序 架站點待求點X增量Y增量角度角度方位角距離N(X)坐標(biāo)E(Y)坐標(biāo)N(X)坐標(biāo)E(Y)坐標(biāo)mm m 527560.240356531.589527

14、797.084356095.150236.844-436.439-61.512448 298.4875522982915496.562527560.240356531.589527785.084356095.864224.844-435.725-62.705206 297.2947942971741490.317527560.240356531.589527804.821356125.819244.581-405.770-58.920238 301.0797623010447473.782527560.240356531.589527794.912356118.617234.672-412.9

15、72-60.392587 299.6074132993627474.992527560.240356531.589527785.002356111.415224.762-420.174-61.856495 298.1435052980837476.513隨機范圍（+5，-15）（+5，-10）（+10，-15）-1-7-5-5-5-11046卵卵型型曲曲線線隱隱藏藏段段緩緩和和曲曲線線長長度度、完完整整緩緩和和曲曲線線長長、樁樁號號、坐坐標(biāo)標(biāo)及及方方位位角角計計算算轉(zhuǎn)角方向緩和曲線參數(shù)曲線半徑緩和曲線長卵型曲線長第二緩和曲線起點第二緩圓曲線起點計算方位角左+1,右-1AR1LS1LFY1HHY

16、2 （度）（弧度）1345.965480140140.00108326.250108466.253709.930N(X)E(Y)N(X)E(Y)142 2339142.39416672.48524704R2LS2512690.665370849.859409.878260140注：卵型曲線參數(shù)A=SQRT(ABS(LF*R1*R2)/(R1-R2)隱藏緩和曲線長 完整緩和曲線長隱藏點起算樁號 隱藏緩和曲線角起算點至JD方位角隱藏緩和曲線長在完整緩和曲線中支矩坐標(biāo)起算點坐標(biāo)起算點至JD方位角半徑L0LSN 1KxyGHKKR1050.0011938.464107276.2491.0937513

17、3.5789984 931.347271351.347346513683.1568370926.0999205.06150072050341.取最小半徑Y(jié)1HY1H至至HY2HY2卵卵型型曲曲線線坐坐標(biāo)標(biāo)計計算算任意點樁號里程差W支矩x坐標(biāo)支矩y坐標(biāo) 至起點距離切線角距中樁距離待求點坐標(biāo)WCD(C2+D2)E左+,右-N(X)E(Y)1084001123.751960.1950271419.294261047.751 1.252793030512635.751370899.1891084251148.751967.4903844443.27523 1064.2042 1.30915464051

18、2618.985370917.8221084251148.751967.4903844443.27523 1064.2042 1.309154640512618.985370917.8221084251148.751967.4903844443.27523 1064.2042 1.309154640512618.985370917.8221084251148.751967.4903844443.27523 1064.2042 1.309154640512618.985370917.8221084251148.751967.4903844443.27523 1064.2042 1.3091546

19、40512618.985370917.8221084251148.751967.4903844443.27523 1064.2042 1.309154640512618.985370917.822卵型曲線-1計算要素表(已知條件)交點樁號轉(zhuǎn)角值轉(zhuǎn)角值兩交點距離曲線半徑緩和曲線長JD11（度）1（弧度）2（度）2（弧度）AB R1LS1615495.4230.98872222 0.540855234 1.0324166670.01801907113.59948040基基本本要要素素計計算算表表內(nèi)移值切線增值切線長切線長緩和曲線角曲線長圓曲線長外矩p1q1T1TA 1L1Ly1E10.13919.

20、999153.102133.1030.083279.611214.81218.247內(nèi)移值切線增值切線長切線長緩和曲線角曲線長圓曲線長外矩p2q2T2TB 2L2Ly2E20.34414.99115.9750.9840.27616.962-37.8370.349曲曲線線主主點點樁樁號號基基本本要要素素計計算算表表ZHHY1Y1HGQHY2Y2HHZ615342.318615382.318615597.130615621.9283615646.727615608.890615638.890卵卵形形曲曲線線計計算算： 已已知知a1=5030，a2=4202，AB=70.78m，R1=60m，Ls1

21、=40m，R2=108.87m，Ls2=30m，LF=49.60m，JD1=K5+300，試試計計算算卵卵形形曲曲線線要要素素和和主主點點樁樁號號。 卵型曲線長曲線半徑緩和曲線長LFR2LS249.60108.87530卵型曲線-1計算要素表(已知條件)大廣公路固安（京冀界）至深州段高速公路 導(dǎo)導(dǎo) 線線 測測 量量 平平 差差 計計 算算 表表 承包單位：中交第二航務(wù)工程局有限公司合同號：LM10監(jiān)理單位：河北通達(dá)工程監(jiān)理咨詢有限公司 編 號：05-04點號轉(zhuǎn)角值(左角)方向角邊長(m)坐標(biāo)增量計算值坐標(biāo)增量改正值改正后的增量平差后的坐標(biāo)點號觀測值改正值改正后值sxyxyxyXYJ252280

22、622J25A24915748140.715748154246777.250473471.464A2492055437461.346-414.971-201.591-0.00520.0040-414.976-201.587LM1215649270.715649284246362.274473269.877LM121824405307.382-307.032-14.665-0.00340.0027-307.035-14.662J2619408140.719408144246055.238473255.215J261965219427.575-409.171-124.096-0.00480.003

23、7-409.175-124.092C1018925110.718925114245646.063473131.122C102061730468.719-420.230-207.615-0.00520.0041-420.236-207.611LM137259380.77259384245225.827472923.512L015-22.269136.206-0.00150.0012-22.271136.208J2827712470.727712484245203.556473059.719J281962956412.463-395.480-117.138-0.00460

24、.0036-395.485-117.134J2917323040.717323044244808.071472942.585J291895300317.749-313.033-54.539-0.00360.0028-313.037-54.536BO118920530.718920544244495.034472888.049BO11991354529.452-499.906-174.395-0.00590.0046-499.912-174.390LM1417244390.717244404243995.123472713.659LM141915833554.318-542.253-115.02

25、1-0.00620.0048-542.259-115.017LM1518834080.718834094243452.863472598.642LM152003242402.619-377.011-141.296-0.00450.0035-377.016-141.293LM1616716370.716716384243075.848472457.349LM161874920430.529-426.523-58.594-0.00480.0037-426.528-58.591LM1716944540.716944554242649.320472398.759LM171773414217.268-2

26、17.0739.209-0.00240.0019-217.0759.211LM1818708060.718708064242432.245472407.970LM181844221224.688-223.931-18.433-0.00250.0020-223.933-18.431LM1920710420.720710424242208.311472389.539LM192115303163.767-139.058-86.502-0.00180.0014-139.059-86.501G0914818570.714818574242069.252472303.038G091801200測站數(shù)n15

27、打印時 起點方位角2280622起點坐標(biāo)4246777.250473471.464隱藏26520528終點方位角1801200終點坐標(biāo)4242069.252472303.0382652052810265205385055.890-4707.941 -1168.470-0.0570.044-4707.998 -1168.426輔助計算f=+始-終-n180= -10fx=X-(X終-X始)= 0.057f=(fx2+fy2)0.5= 0.0717f容=10n0.5= 39fy=Y-(Y終-Y始)= -0.044T=f/S= 1/705331/15000合格計算：復(fù)核：負(fù)責(zé)人：日期：2115303

28、163.767-139.058-86.502-0.00180.0014-139.059-86.501大廣公路固安（京冀界）至深州段高速公路水水 準(zhǔn)準(zhǔn) 點點 平平 差差 計計 算算 表表承包單位：中交第二航務(wù)工程局有限公司 合同號：LM10監(jiān)理單位：河北通達(dá)工程監(jiān)理咨詢有限公司 編 號：07-01點號站數(shù)或距離實測高差平均高差改正數(shù)改正后高差 平差后高程點號L第一次第二次mmmmGPS6713.968GPS67G01-11600.0190.0200.020-0.00210.01713.985G01-1BM0180-0.201-0.200-0.201-0.0010-0.20213.784BM01L

29、M01268-0.056-0.054-0.055-0.0035-0.05813.725LM01C2249-0.408-0.404-0.406-0.0032-0.40913.316C2LM022900.3870.3840.386-0.00370.38213.698LM02J03265-0.408-0.407-0.408-0.0034-0.41113.287J03LM033110.4760.4730.475-0.00400.47013.758LM03A2311970.4210.4230.422-0.00250.41914.177A2311.820.2300.2350.233-0.0240.209h

30、=H終-H始= 0.209Fh=h測-(H終-H始）= 24H始= 13.968Fh容=20L 27FhFh容合格,可以平差H終= 14.177計算: 復(fù)核: 負(fù)責(zé)人： 日期:大廣公路固安（京冀界）至深州段高速公路四四等等水水準(zhǔn)準(zhǔn)測測量量觀觀測測記記錄錄表表承包單位：中交第二航務(wù)工程局有限公司 合同號：LM10監(jiān)理單位：河北通達(dá)工程監(jiān)理咨詢有限公司 編 號：02-02測站編號點號后尺上絲前尺上絲方水準(zhǔn)尺讀數(shù)K + 黑平均高差備注下絲下絲向減后 距前 距及黑面紅面視距差dd尺 號紅（m）GPS6719581945后15626350-10.02011671142180.3

31、后 - 前19120-10.020-1.2-1.2G01-111641360后96356500-0.200763966前11635949140.139.4后 - 前-200-299-1-0.2000.7-0.5BM018681158后53153171195474前8155500267.368.4后 - 前-284-183-1-0.284-1.1-1.613181095后99256781-0.054665429前7625549065.366.6后 - 前23012910.230-1.3-2.9LM0112671491后98757731705946前12185906-156.254.5后 - 前-

32、231-1332-0.2321.7-1.212231390后87255581-0.404521698前10445829270.269.2后 - 前-172-271-1-0.1721-0.2C215481431后123660221925822前11265813062.360.9后 - 前11020910.1101.41.222852001后1862654900.38414391176682.5后 - 前27417400.2742.13.3每頁校核后-前=-0.508后-前= -0.508總視距差=3.3后= 55.902總視距d=1046.9前= 56.41總高差= -

33、0.254測量：記錄：復(fù)核：大廣公路固安（京冀界）至深州段高速公路四四等等水水準(zhǔn)準(zhǔn)測測量量觀觀測測記記錄錄表表承包單位：中交第二航務(wù)工程局有限公司 合同號：LM10監(jiān)理單位：河北通達(dá)工程監(jiān)理咨詢有限公司 編 號：測站編號點號后尺下絲前尺下絲方水準(zhǔn)尺讀數(shù)K + 黑平均高差備注上絲上絲向減后 距前 距及黑面紅面視距差dd尺 號紅（m）GPS6719571945后15626350-10.02011671141前1543623007980.4后 - 前19120-10.020-1.4-1.4G01-111641360后96356500-0.200762966前11635949140.239.4后 -

34、前-200-299-1-0.2000.8-0.6BM018681158后53153171194472前8155500267.468.6后 - 前-284-183-1-0.284-1.2-1.813191095后99256781-0.054665429前7625549065.466.6后 - 前23012910.230-1.2-3LM0112671490后98757731707946前12185906-15654.4后 - 前-231-1332-0.2321.6-1.412231390后87255581-0.404521698前10445829270.269.2后 - 前-172-271-1-0

35、.1721-0.4C215481430后123660221924822前11265813062.460.8后 - 前11020910.1101.61.222852000后1862654900.38414391176682.4后 - 前27417400.2742.23.4每頁校核后-前=-0.508后-前= -0.508總視距差=3.4后= 55.902總視距d=1047前= 56.41總高差= -0.254測量：記錄：復(fù)核：計計算算參參數(shù)數(shù)輸輸入入1#控制點坐標(biāo)2#控制點坐標(biāo)架站點至1#距離架站點至2#距離G(X)H(Y)E(X)F(Y)BC1001002003002

36、50150相相關(guān)關(guān)參參數(shù)數(shù)計計算算結(jié)結(jié)果果X增量Y增量角度角度1#至2#方位角（J)1#至2#距離(I)mm 弧度 m 100.000200.00063.4349488263.434948826326061.107223.60712邊與13邊1#至架站點12邊與23邊2#至3#方位角2#至架站點夾角（Q)方位角夾角（O)弧度 方位角0.6351470321.7421.4211674174.2487413712.827573954架架站站點點坐坐標(biāo)標(biāo)計計算算結(jié)結(jié)果果架站點坐標(biāo)架站點坐標(biāo)P(X)Z(Y)P(X)Z(Y)57.335346.33257.335346.332備備注注：自自由由測測站站宜

37、宜布布設(shè)設(shè)近近似似等等邊邊三三角角形形，其其三三角角形形內(nèi)內(nèi)角角不不小小于于3030 , ,當(dāng)當(dāng)受受地地形形限限制制時時，個個別別角角 可可放放寬寬2525 ，兩兩邊邊相相差差不不宜宜過過長長或或過過短短。（P，Z）（G，H）（E，F(xiàn)）JBCIQOZY點樁號ZY點坐標(biāo)YZ點樁號YZ點坐標(biāo)半徑NA(X)B(Y)C(X)D(Y)R239.36864014.20916378.752283.5564011.70216340.72420.5X增量Y增量角度角度ZY至YZ方位角（J)圓心角mm 弧度 （O）弧度-2.507-38.02886.22822743266.228227426613424.6472

38、.155219512圓心點至ZY方位角圓心點坐標(biāo)（K）弧度度 G(X)H(Y)1.998114.48573641142909.64022.7055716360.09568任意點樁號里程差圓心角距中樁距離待求點坐標(biāo)W弧度左+,右-N(X)E(Y)24010.031064013.63816378.48124560.275064009.46616375.747250110.519064006.07816372.087255160.763064003.67516367.717260211.006064002.39816362.895265261.250064002.32316357.908270311

39、.494064003.45416353.051275361.738064005.72516348.610280411.982064009.00116344.850285462.226064013.08916341.991290512.470064017.74516340.205左轉(zhuǎn)彎右轉(zhuǎn)彎（，）（，）曲線長路線方向L左+，右-44.182-1夾角ZY至圓心點方位角（Q）弧度（J+Q）弧度0.4931865715.140左轉(zhuǎn)彎右轉(zhuǎn)彎（，）（，）已已知知條條件件變坡點樁號變坡點高程前坡段坡度后坡段坡度豎曲線半徑豎曲線類型mm(i1)%(i2)%R凸-1，凹+1K137+230.00019.4741

40、.6733-0.353517000-1相相關(guān)關(guān)參參數(shù)數(shù)計計算算結(jié)結(jié)果果坡度差曲線長切線長外矩起點樁號終點樁號LTEmm0.020268344.556172.2780.873K137+057.722K137+402.278豎豎曲曲線線設(shè)設(shè)計計高高程程計計算算里程樁號直坡高程高程改正值設(shè)計高程K137+30019.226550.30818.919K137+30019.226550.30818.919K137+30019.226550.30818.919K137+30019.226550.30818.919K137+18018.637350.44018.198K137+20018.972010.59

41、518.377K137+22019.306670.77518.532K137+24019.438650.77518.664K137+26019.367950.59518.773計計算算參參數(shù)數(shù)輸輸入入1#控制點坐標(biāo)2#控制點坐標(biāo)12邊與13邊夾角（O)21邊與23邊夾角（Q)G(X)H(Y)E(X)F(Y) （度）（弧度） 781.2271323.385769.8621428.98953334253.561666670.93482743650相相關(guān)關(guān)參參數(shù)數(shù)計計算算結(jié)結(jié)果果X增量Y增量1#至2#方位角（J)2#至1#方位角（J)12邊長13邊長mm弧度弧度(I)m（C）m-11.365105.

42、604-83.8575247696.142475241.6780027444.819595106.21484.619架架站站點點坐坐標(biāo)標(biāo)計計算算結(jié)結(jié)果果架站點坐標(biāo)架站點坐標(biāo)P(X)Z(Y)P(X)Z(Y)843.5341380.641843.5341380.641（，）（，）（，）（度）（弧度）345550.581944440.88282147323邊長31邊與32邊夾角(B)mV（弧度）88.1201.323943745計計算算參參數(shù)數(shù)輸輸入入21邊與23邊夾角（Q)相相關(guān)關(guān)參參數(shù)數(shù)計計算算結(jié)結(jié)果果13邊長（C）m84.619（，）（，）（，）參參考考橢橢球球元元素素值值輸輸入入處處坐標(biāo)系名

43、稱1954年北京坐標(biāo)系 1980年西安坐標(biāo)系 WGS-84坐標(biāo)系(GPS)大地緯度（B)參考橢球名稱克拉索夫斯基橢球IUGG-1975橢球IUGG-1979橢球弧度a（長半軸）6378245637814063781372232 50 0.39352b（短半軸）6356863.0196356755.2886356752.314RA=N/(1+2cosA2)f（扁率）1：298.31：298.2571：298.257223563e2（第一偏心率）0.0066934220.0066943850.00669438大地方位角（A)e，2（第二偏心率） 0.0067385250.0067395020.00

44、6739497弧度c（極曲率半徑）6399698.9026399596.6526399593.62615319 18 2.6759719541954年年北北京京坐坐標(biāo)標(biāo)系系中間參數(shù)中間參數(shù)子午圈曲率半徑卯酉圈曲率半徑平均曲率半徑=e，cosBV=1+2M=C/V3N=C/VR=MN=C/V20.0758139891.0028697636344916.7756381385.8396363125.1819801980年年西西安安坐坐標(biāo)標(biāo)系系中間參數(shù)中間參數(shù)子午圈曲率半徑卯酉圈曲率半徑平均曲率半徑=e，cosBV=1+2M=C/V3N=C/VR=MN=C/V20.0758194811.0028701

45、786344807.5196381281.246363018.245WGS-84WGS-84坐坐標(biāo)標(biāo)系系(GPS)(GPS)中間參數(shù)中間參數(shù)子午圈曲率半徑卯酉圈曲率半徑平均曲率半徑=e，cosBV=1+2M=C/V3N=C/VR=MN=C/V20.0758194531.0028701766344804.566381278.2366363015.264任意法截弧曲率半徑RA6352234.774任意法截弧曲率半徑RA6352126.447任意法截弧曲率半徑RA6352123.47919541954年年北北京京坐坐標(biāo)標(biāo)系系19801980年年西西安安坐坐標(biāo)標(biāo)系系WGS-84WGS-84坐坐標(biāo)標(biāo)系系

46、(GPS)(GPS)參參考考橢橢球球元元素素值值數(shù)數(shù)據(jù)據(jù)輸輸入入處處坐標(biāo)系名稱1954年北京坐標(biāo)系 1980年西安坐標(biāo)系 WGS-84坐標(biāo)系(GPS)大地緯度（B)水平距離參考橢球名稱克拉索夫斯基橢球 IUGG-1975橢球IUGG-1979橢球弧度Da（長半軸）63782456378140637813722334 0.393593591.293b（短半軸）6356863.0196356755.2886356752.314RA=N/(1+2cosA2)大地水準(zhǔn)面相對參考橢球高度f（扁率）1：298.31：298.2571：298.2572235634.3e2（第一偏心率）0.006693422

47、0.0066943850.00669438大地經(jīng)度（A)高程e，2（第二偏心率）0.0067385250.0067395020.006739497弧度H c（極曲率半徑）6399698.9026399596.6526399593.626107412 1.8794435.419541954年年北北京京坐坐標(biāo)標(biāo)系系中間參數(shù)中間參數(shù)子午圈曲率半徑卯酉圈曲率半徑平均曲率半徑任意法截弧曲率半徑=e，cosBV=1+2M=C/V3N=C/VR=MN=C/V2RA0.0758118521.0028696016344919.846381386.8676363127.236378004.38919801980年

48、年西西安安坐坐標(biāo)標(biāo)系系中間參數(shù)中間參數(shù)子午圈曲率半徑卯酉圈曲率半徑平均曲率半徑任意法截弧曲率半徑=e，cosBV=1+2M=C/V3N=C/VR=MN=C/V2RA0.0758173441.0028700166344810.5856381282.2686363020.2956377899.355WGS-84WGS-84坐坐標(biāo)標(biāo)系系(GPS)(GPS)中間參數(shù)中間參數(shù)子午圈曲率半徑卯酉圈曲率半徑平均曲率半徑任意法截弧曲率半徑=e，cosBV=1+2M=C/V3N=C/VR=MN=C/V2RA0.0758173161.0028700146344807.6266381279.2646363017.3

49、146377896.356邊長一端橫坐標(biāo)y1210154邊長另一端橫坐標(biāo)y2213577投影到橢球邊長值投影到高斯平面邊長值S0S03591.2706463593.252075投影到橢球邊長值投影到高斯平面邊長值S0S03591.2706463593.25214數(shù)數(shù)據(jù)據(jù)輸輸入入處處大地水準(zhǔn)面相對參考橢球高度4.3參參考考橢橢球球元元素素值值輸輸入入處處坐標(biāo)系名稱1954年北京坐標(biāo)系1980年西安坐標(biāo)系 WGS-84坐標(biāo)系(GPS)大地緯度（B)參考橢球名稱 克拉索夫斯基橢球 IUGG-1975橢球IUGG-1979橢球弧度a（長半軸）637824563781406378137533420.71

50、70.935015142b（短半軸）6356863.0196356755.2886356752.314RA=N/(1+2cosA2)f（扁率）1：298.31：298.2571：298.257223563e2（第一偏心率） 0.0066934220.0066943850.00669438經(jīng)度差（L)e，2（第二偏心率） 0.0067385250.0067395020.006739497弧度c（極曲率半徑）6399698.9026399596.6526399593.62634552.1490.06570267219541954年年北北京京坐坐標(biāo)標(biāo)系系中間參數(shù)中間參數(shù)子午圈曲率半徑卯酉圈曲率半徑平

51、均曲率半徑=e，cosBV=1+2M=C/V3N=C/VR=MN=C/V20.0487446771.0011873176376957.5146392109.4426384528.983中間參數(shù)中間參數(shù)子午線弧長子午線收斂角子午線收斂角高斯平面坐標(biāo)t=tanBm=COSB*LFN(X)1.3550010260.0390146575938430.2823.03048355230150.5945024.82619801980年年西西安安坐坐標(biāo)標(biāo)系系中間參數(shù)中間參數(shù)子午圈曲率半徑卯酉圈曲率半徑平均曲率半徑=e，cosBV=1+2M=C/V3N=C/VR=MN=C/V20.0487482081.0011

52、874896376852.3426392006.2166384424.783中間參數(shù)中間參數(shù)子午線弧長子午線收斂角子午線收斂角高斯平面坐標(biāo)t=tanBm=COSBLFN(X)1.3550010260.0390146575938328.8713.03048355430150.5944923.308十進(jìn)制（度）53.57242139L=經(jīng)度-(經(jīng)度)/3)*3(經(jīng)度)/3)取整數(shù)*33.764485833任意法截弧曲率半徑n=(L0+3)/6RAL0=6n-36377022.674n=L0/3L0=3nE(Y)249333.0957任意法截弧曲率半徑RA6376917.51E(Y)249329.0

53、692輸輸入入處處大地緯度（B)RA=N/(1+2cosA2)經(jīng)度差（L)19541954年年北北京京坐坐標(biāo)標(biāo)系系高斯平面坐標(biāo)19801980年年西西安安坐坐標(biāo)標(biāo)系系高斯平面坐標(biāo)參參考考橢橢球球元元素素值值實實例例說說明明坐標(biāo)系名稱1954年北京坐標(biāo)系1980年西安坐標(biāo)系WGS-84坐標(biāo)系(GPS)帶號 換算帶號已知P點在6度帶第21帶的坐標(biāo)x=5728374.726參考橢球名稱克拉索夫斯基橢球IUGG-1975橢球IUGG-1979橢球2122y=21710198.193,求P點在6度帶第22帶坐標(biāo)a（長半軸）637824563781406378137b（短半軸）6356863.019635

54、6755.2886356752.314帶號輸入21，換算帶號輸入22f（扁率）1：298.31：298.2571：298.25722356高斯平面坐標(biāo)X直接輸入x,Y輸入y去掉帶號21，e2（第一偏心率）0.0066934220.0066943850.00669438高斯平面坐標(biāo)710198.193-500000=210198.193，Y輸入210198.193e，2（第二偏心率） 0.0067385250.0067395020.006739497N(X)E(Y)結(jié)果：X=5728164.380, Y=22294920.035(已北京系為例）c（極曲率半徑）6399698.9026399596

55、.6526399593.6265728374.726210198.19319541954年年北北京京坐坐標(biāo)標(biāo)系系中間參數(shù)底點緯度底點緯度中間參數(shù)中間參數(shù)中間參數(shù)已知P點在3度帶的坐標(biāo)x=3272782.317（X-3)Bf（度）Bf(弧度）f2tfny=40444700.455,求P點在6度帶的坐標(biāo)2.72837472651.684809740.9020701030.0025901811.2655296620.032887523從Y坐標(biāo)看出P點在3度帶的第40帶內(nèi)L0=40*3=120，n=(120+3)/6=20.5（即在6度帶第20.5帶）緯度緯度經(jīng)度差經(jīng)度差子午線收斂角子午線收斂角帶號輸

56、入20.5，換算帶號輸入20B(F)L0高斯平面坐標(biāo)X直接輸入x,Y輸入y去掉帶號40，51.64553513844.3.03698222530213.2.38242695222257.444700.455-500000=-55299.545，Y輸入-55299.545結(jié)果：X=3275110.537, Y=20735437.233(已北京系為例）子午線弧長中間參數(shù)中間參數(shù)中間參數(shù)中間參數(shù)中間參數(shù)QJMSUW已知P點在6度帶的坐標(biāo)x=3275110.5375724004.35126.0369822-0.0320900791.2637476770.0025946766391412.45y=207

57、35437.233,求P點在3度帶的坐標(biāo)從Y坐標(biāo)看出P點在6度帶的第20帶內(nèi)換帶后坐標(biāo)L0=20*6-3=117，n=(117+3)/6=20（即在6度帶第20帶）XPY1YPYP+換算帶號帶號輸入20，換算帶號輸入20.55728164.380-205079.9648294920.035高斯平面坐標(biāo)X直接輸入x,Y輸入y去掉帶號20，19801980年年西西安安坐坐標(biāo)標(biāo)系系735437.233-500000=235437.233，Y輸入235437.233結(jié)果：X=3272782.317, Y=40444700.455(已北京系為例）中間參數(shù)底點緯度底點緯度中間參數(shù)中間參數(shù)中間參數(shù)（X-3)

58、Bf（度）Bf(弧度）f2tfn2.72837472651.685690010.9020854670.0025904561.2655696320.0328880531232120.5緯度緯度經(jīng)度差經(jīng)度差子午線收斂角子午線收斂角BL051.64640776513847.3.0370900330214.2.38254043322257.子午線弧長中間參數(shù)中間參數(shù)中間參數(shù)中間參數(shù)中間參數(shù)QJMSUW5724004.141126.03709-0.032088291.2637874640.0025949526391309.455換帶后坐標(biāo)XPY1YPYP+換算帶號5728163.770-205065.2

59、271294934.773緩和曲線-1計算要素表(已知條件)備注起算點樁號起算點坐標(biāo)路線方向(B)曲線半徑緩和曲線長起算點方位角(K)NG(X)H(Y)左+1，右-1RL 84042.047529388.84735453819501201334313任意點樁號里程差W支矩x坐標(biāo)支矩y坐標(biāo)切線角距中樁距離待求點坐標(biāo)WCDE左+,右-N(X)8406017.95317.952996410.0084596990.001413641-8529370.656840507.9537.9529999390.0007354220.0002774130529383.351840507.9537.95299993

60、90.0007354220.0002774130529383.351840507.9537.9529999390.0007354220.0002774130529383.351840507.9537.9529999390.0007354220.0002774130529383.351840507.9537.9529999390.0007354220.0002774130529383.351840507.9537.9529999390.0007354220.0002774130529383.351840507.9537.9529999390.0007354220.0002774130529383