正态分布分位数与变异系数的置信限

正态分布分位数与变异系数的置信限

国家标准 GB/T10094一2009 代替GB/T10094一 -1988,GB/T11791一1989,GB/T144381993 正态分布分位数与变异系数的置信限 Confideneelimitsofquantileandcoefieientofvariation fornormaldistributiom 2009-10-15发布 2010-02-01实施 国家质量监督检验检疫总局 发布 国家标准化管蹬委员会国家标准
GB/T10094一2009 前 言 “数据的统计处理和解释”包括以下国家标准 GB/T3359 数据的统计处理和解释统计容忍区间的确定 GB/T3361 数据的统计处理和解释在成对观测值情形下两个均值的比较 GB/T4087数据的统计处理和解释二项分布可靠度单侧置信下限 4088数据的统计处理和解释二项分布参数的估计与检验 4089数据的统计处理和解释泊松分布参数的估计和检验 4882 数据的统计处理和解释正态性检验 4883 数据的统计处理和解释正态样本离群值的判断和处理 4885 正态分布完全样本可靠度置信下限 4889数据的统计处理和解释正态分布均值和方差的估计与检验 4890 数据的统计处理和解释正态分布均值和方差检验的功效 ！型极值分布样本离群值的判断和处理 6380数据的统计处理和解释 8055 数据的统计处理和解释 分布(皮尔逊型分布)的参数估计 指数分布样本离群值的判断和处理 GB/T8056数据的统计处理和解释 GB/T10092 数据的统计处理和解释测试结果的多重比较 (GB/T10094正态分布分位数与变异系数的置信限 本标准代替GB/T10094一1988《正态分布分位数，置信区间》.GB/T11791 1989《正态分布变 差系数置信上限》和GB/T14438一1993《定限内正态概率的置信下限》 本标准与GB/T10094一1988,GB/T11791-1989和GB/T144138一1993相比主要变化如下 按GB/T1.12000《标准化工作导则第1部分;标准的结构和编写规则》的要求对标准格式 进行了修订 -将GB10094一1988附录A示例中的例子放人正文 本标准由全国统计方法应用标准化技术委员会(SAc/Tc21)提出并归口 本标准主要起草单位;科学技术大学、北京大学、标准化研究院 本标准主要起草人:吴耀华、孙山泽、于振凡、丁文兴、周正伐等 本标准所代替标准的历次版本发布情况为 -GB/T10094一1988; GB/T11791一1989 -GB/T14438一1993
GB/T10094一2009 正态分布分位数与变异系数的置信限 范围 本标准规定了在给定置信水平下正态分布分位数置信区间和变异系数置信上限的确定方法 本标准适用于正态分布的总体 规范性引用文件 下列文件中的条款通过本标准的引用而成为本标准的条款 凡是注日期的引用文件,其随后所有 的修改单(不包括勘误的内容)或修订版均不适用于本标准,然而,鼓励根据本标准达成协议的各方研究 是否可使用这些文件的最新版本 凡是不注日期的引用文件,其最新版本适用于本标准 GB/T3358.1统计学词汇及符号第1部分:一般统计术语与用于概率的术语(GB/T3358.1 2009,1S(O3534-l:2006,lIDT GB/T3358.2统计学词汇及符号第2部分;应用统计(GB/T3358.22009,ISO3534-2:2006. IDT GB/T4086.1统计分布数值表正态分布 GB/T4086.2统计分布数值表x分布 GB/T15932一1995非中心1分布分位数表 GB/T4885一2009正态分布完全样本可靠度置信下限 术语、定义和符号 3.1术语和定义 GB/T3358.1和GB/T3358.2确立的术语和定义以及下列术语和定义适用于本标准 为便于参 考,某些术语直接引自上述标准 3.1.1 p分位数p-quantle;p-fractile X，x 对0<少<1,使分布函数F(2)大于或等于的所有 的下确界 示例1:考虑二项分布,表1给出参数n=6,/=0.3的二项分布的概率质量函数 分布的某些户分位数为 Xa. 0.23 Xn X我3 Xn X 093 o=5 =5 X的" 由于二项分布是离散的,它的p分位数都是整数
GB/T10094一2009 表1二项分布的示例 P(X=.r) P(XGB/T10094一2009 3.1.3 onfidenceinterval 置信区间 参数0的区间估计(T,,T),其中作为区间限的统计量T,,T,满足P[T<01一a 注1置信度反映了在同一条件下长序列重复随机抽样中,置信区间包含参数真值的比例 置信区间并不能反映观 测到的区间包含参数真值的概率(观测到的区间只能或是包含或是不包含) 注2:一个与置信区间相关的特性是100(1-a)%,其中a是一个小的数 这个特性称为置信系数或置信水平,通常 取为5%或99% 对任意确定但未知的总体/值,[T,<0一T]>1一a. 3.2符号 下列符号适用于本标准 n;样本量 u;总体均值 :总体标准差 r;正态随机变量X的观测值 工;样本均值 s;样本标准差 -a;置信水平 概率分布的p分位数 Z; Cu:工，的置信上限 C;r，的置信下限 CV=口/u;总体变异系数 cw=s/厅;样本变异系数 4.(u;):自由度为,非中心参数为的非中心t分布的a分位数 CVeu:总体变异系数的置信上限 正态分布分位数的置信区间 单侧置信下限 4 正态分布分位数.r,的置信水平为1一a的单侧置信下限C由式(1)确定 (工一sk-,当力<0.50时 任十k.,当>0.50时 其中K 和K- 可利用附录A查出,在K系数表中对应于样本量为n,R=1一p,y=a可查得K 对应于样本量为n,R=p,y=1一a可查得K 4.2单侧置信上限 正态分布分位数r 的置信水平为1一a的单侧置信上限C由式(2)确定 1一sk.,当p<0.50时 2 C= 口十k,,当力>0.50时 其中K 和K- 可利用附录A查出,在K系数表中对应于样本量为n,R=1一力,y=a可查得K 对应于样本量为n,R=py=1一 可查得K- 4.3双侧置信上、下限 正态分布分位数工，的置信水平为1一a的双侧置信下限C由式(3)确定: 一sk,当力<0.50时 3 十sk ,当力一0.50时 E 双侧置信上限c，由式(4)确定
GB/T10094一2009 1一sk 2,当力<0.50时 C一 十K句!,当>0.50时 3),(4)两式中K 和K- ,可利用附录A查出,在K系数表中对应于样本量为n,R=1 一 可查得K.e,对应于样本量为n.R=py=1-“可查得K 4.4示例 示例1:某市气象台测得该市72年的年降雨量数据如下(单位;mm) 1063.8,1004.9,1086.2,1022.5,1330.9,1439.4,1236.5,1088.1,1288.7,1115.8. 1217.5.l1320.7,l078.ll203.4,l480.0,l269.9.l049.2,l318.4.l192.0,l016.0. 1508.2,l159.6,l021.3,986.1,794.7,1318.3,1171.2,1161.7,791.2,l143.8. 602.0,951.4,1003.2,840.4,1061.4,958.0,1025.2, 1265.0,l196.5,120.7 1659.3,942.7,l1123.3,910.2,l398.5,1208.6,l305.5,1242.3,1572.3,l416.9. 256.1,1285.9,984.8,1390.3,1062.2,1287.3,1477.0,1o17.9,1217.7,1197.1， 1143.0,l018,8,1243.7,909.3,1030,3,1124.4,81l.4,820.9,l184.l,1107.5， 991.4,901.7 经检验年降雨量X服从正态分布,求置信水平0.90时10%分位数工和90%分位数工的双侧置信限 由数据算得样本均值和样本标准差分别为: .r=1154.78,》=159,562 根据式(3),式(4)知置信水平0.90时分位数,的双侧置信下、上限分别为 CL=.r一ska,95,Cu=.r一skn,6 置信水平0.90时分位数.ra的双侧置信下、上限分别为: =十ka猫 C=r十sK ,Cu .0 对应n=72,R=0.90,查附录A得 =1.043, =1.577 Kw ,K,粉 故得到分位数.ra,.1的双侧置信下、上限分别为: 一847.012,C=951.228 分位数naw的双侧置信下,上限分别为 C=1358.336,C=1462.552 示例2;某种高温合金钢的寿命的分布是对数正态分布,取12个试样在660C温度和4kef/mm=(39.2266MPa) 应力下进行寿命试验,得数据如下(单位h): 935,l025,l081,1180,l197,1234,1328,l521,l621,l621,l694,1933 求置信水平0.90时寿命分布1%分位数a的置信下限 对试验数据4(i- ,r;是正态分布的样本,计算得样本均值和样本标准差为 =1,,12)取对数r;=lnt,,则ri 7.1949,、=0.2258 根据式(1),正态分布的1%分位数.ro,的置信水平 0.90 的置信下限为 kw,0=7.1949一0.2258×3.371=6.433" C 其中K我期=3.371是对应n=12.R=1一身=0.99,y=1一 -a=0.90从附录A查出 故置信水平0.90时寿命分布1%分位数a的置信下限为: eA.433? 622.47(h) 正态分布变异系数置信上限 o 精确置信上限 正态总体变异系数CV的置信上限CV由式(5)确定: -.(n一l;/(CV-l).=、/nK CV= CV
GB/10094一2009 其中K=工/=1/cu,(CVl的值可以利用GB/T15932一1995进行线性插值来得到 5.2置信上限的近似求法 当CV<0.30,)>6时,正态总体变异系数置信上限CV的近似公式为 儿二 [xi(n-1(1十o CV n一)U 其中xi-(n-1)表示自由度为n-1的x分布的1一 分位数,其值可由x分位数表查得(见 GB/T4086.2). 5.3示例 一批碳环氧壳体,从中随机抽取9件进行强度试验,测得破坏值分别为(单位:h):7.92,7.25,7， 8.58,7,6.67,6.75,6.87,6.92 求置信水平为0.90时这批壳体强度的变差系数置信上限 由数据算得样本均值和样本标准差分别为 =7.2178,s=0.6296 精确方法 a 由VnK=/×7.2178/0.6296=34.3923,查非中心1分布表(见GB/T15932一1995),用线 性插值得 V(V-l)L=22.6409 故有 CV=1/CV-')=0.1325 b 近似方法 查x分位数表(见GB/T4086.2) 3.49 Xi(8 由式(6)算得 CV=0.1316
GB/T10094一2009 附 录A 规范性附录 K系数表 本系数表的参数范围与表距为 /=0.01,0.05,0.10,0.20,0.40(o.10)0.90,0.95,0.99 R,=0.50.0.60(0.05)0.95.0.99.0.9F5.0.9',0.95.0.9'.0.9'5.0.9.0.9".0.9y n=2(1)50(10)120
GB/T10094?2009 y=.01 R 5000000 6000000 6500000 .7000000 7500000 8000000 " 22.50050 13.82057 -10.38587 -7.49399 -5.10993 3.20381 a.D 4.02099g 2.7277 -2.16862 -1.66198 1.20445 .79235 2.27035 1.56282 1.24579 ,67027 .0 94930 40463 22724 167569 1.14491 90191 67023 44679 ,.0 1l743 6n.0 l.37373 .92414 71523 51345 31568 N 7.0 1.18782 78401 59430 40935 22598 03965 8.0 -l.05994 .68526 50775 33344 15915 01973 9.0 .96549 61089 44174 27471 10659 06727 10.0 .89222 55225 38917 22740 06371 l0660 .83331 50445 34596 18814 02776 13993 1.0 2.0 78464 46450o 30959 15484 .00300 16869 27839 19389 74358 43044 12609 ,02974 8 25124 70832 40094 10092 ,05329 21622 B0 07862 .07427 67764 .37506 22730 23621 6.0 .65062 .3521l .20599 .05868 .0931l 25425 17.0 .62659 .33157 .04070o 18684 11017 27066 .60503 .31304 ,02437 18.0 16952 12572 28566 19.0 .58556 .29621 15373 .00944 .13998 29946 20.0 .56785 28083 13927 .00427 1531l .31221 .55165 .26671 12596 .01692 16527 32405 21.0 .53676 .25368 .l1364 .02865 ..17656 33507 " .52302 .2416o .l0221 .03957 18710 34538 .51028 23036 .09155 s77 a" 19696 35504 .49843 .21988 .08159 .05932 ..20622 36413 .48737 .21006 .07224 .06830 21493 37269 .47701 .20084 .06345 .07675 22314 38079 28.0 46729 19216 05517 .08473 23091 .38846 29.0 45814 18397 .04734 .09228 23828 .39573 30.0 44950 17623 03993 09944 24527 40265 44134 16889 .03289 10624 25192 31.o 40924 11272 25826 2.0 43360 16192 02621 41552 42626 15529 11889 42152 3.0 .01984 26430 3A.0" .41928 ,14898 .01377 .12478 27008 42727 35.0 .41263 ,14296 .00797 1304l 27561 43277 36.0 .40629 13720 .00242 13581 28091 43805 37.0 .40023 13169 .00289 .14098 28600 44312 38.0 .39443 12641 .00798 14594 29089 44799 39.0 .38888 12135 .01288 .15071 29559 45268 40.0 .38356 11649 .01758 15529 45720 .3001l 46156 .37845 11181 02210 15971 .30447 l.0 16397 .37354 308c7 20 10731 .02645 46577 3.0 .36881 10298 .03065 .16807 .31273 46983 4.0 .36426 .09880 .03470 17204 .31665 47376 47756 .35988 .09477 .03862 17587 5.0 32044 24m 46.o .48124 .35565 .09087 .04240 17957 47.0 18316 .35156 .08711 .04605 32766 48481 33111 48.0 .34761 .08347 .04959 18663 48827 49.0 .34380 .07994 .05302 .33445 49162 18999 50. 0 .34o10 .07652 .05635 19326 .33769 49488 52298 60.0 .30871 .04735 .08480 22121 .36557 .02484 .10685 .24307 .38734 70,0 .28466 54502 .00677 .12460o .26067 ..40498 80.0 .26548 56292 ,00815 .13929 .27527 .57784 90.0 24971 41965 .23646 .02074 .15172 .59054 100.0 .28765 43211 l10.0 .22512 ,03156 .1624 .29832 44287 .60152 120.0 .21526 ,04098 .17174 .30764 .45228 .61114
GB/T10094?2009 y=.01 .8500000 9000000 ..9500000 9900000 .9950000 9990000 " 1.74767 .70711 .00015 .56421 70758 .96918 3.0 .41961 .07193 .29478 .78155 .93221 1.22211 .12260 .44286 .9236o 1.08063 .0 14533 l.38846 1.02718 s0 .00420 54313 18935 151035 .23770 60 .08886 .31886 .61829 1.10763 27403 1.60542 7.0 .15736 .38100 .67787 1. 17278 1.34275 1 .68268 .0 .43093 72685 1. 22713 40017 1.74731 .21l03 B.0 .25481 47239 76817 1.27348 44921 .80258 1. 0.0 .291583 .50765 .80374 1.31371 49181 1.85065 .32299 53817 83481 1.3491o 1.52932 1.89301 .35038 .56498 86232 1.38059 1.56273 1.93078 1.59276 1.96475 .37455 58879 88690 40888 90907 1.61997 .3961m G3 43449 1.99555 1551 .62947 .92922 2. 45784 1.64479 .02367 .43310 .64706 .94763 1,47926 1.66757 2.04948 7.0 .44915 .66318 .96456 1.49900 1.68857 2.07330 8.0 .46389 .67803 ,98021 1 70804 1,51729 2.09539 9.0 .47749 .69176 .99472 1.53430 1.72615 2.11595 20.0 2. .49009 70453 1.00824 1.55017 1.74306 13515 .50181 71643 1.02088 1.56504 1.75890 2.15315 .51276 1.03273 1.5790o1 1.77379 2.17007 .72757 .52301 .73803 1.59217 1.78781 1.04388 2.18602 .53265 .74787 .05438 1.60459 1.80106 2.20109 S73 l.06432 1.61635 1.81360 2.21536 .75716 .55030 50 1.07373 1,62750 1.82550 2.22890 .5584 .77427 l.08266 1.6381o 1.83681 2.24177 1 .56610 78218 1.09115 64819 1.84758 2.25404 1 .57341 78971 1.09924 65781 1.85786 2.26574 30.0 1 .58037 79688 10696 1.66701 1.86767 2.27692 .58701 .80372 1.l1434 1.6758o 1.87706 2.28763 31.o 1.68422 2.29788 .81027 0 59334 1.12140 1.88606 1.69230 1.89469 2. " .59940 .81653 1.12816 .30772 H0 60521 .82254 l.13466 1.70006 1.90298 2.31717 n.0 .61078 .82831 l.14089 1.70752 1.91095 2.32626 6.0 .61612 .83385 1.71469 1.91862 2.33502 1.l4689 7.0 1 .62126 .83918 15267 1.72161 1.92602 2.34345 38.0 .62620 .84431 1.15823 1.72828 1.93315 2.35159 9.0 .63096 .84926 1.16360 1.73472 1.94003 2.35945 40.0 .63555 .85403 1.16878 1.74094 94668 2.36704 63998 85864 74695 1.9531 .17379 2.37438 75277 .64426 1.95934 .86310 2. .38149 .17864 1.183 64840 7584 1.96537 2.38838 .8674 .87158 .65240 76387 1.97121 2.39505 " 1.192227 .87562 .65628 76917 1.97688 2.40152 46.o .66003 .87954 1.19654 77431 1.98238 2.40781 47.o .66367 .88334 1.20068 77930 1.98772 2. 41391 8.o .66720 .88702 1.20470 2.41984 78415 1.99291 9.0 .67063 1.20861 1.99795 2.42561 89061 78886 50.0 .67395 .89409 1.21241 2.00286 2.43122 79344 .70274 .92426 1.24543 1.83335 2.48o10 60.0 2.04560 0.0 2.07959 ,94809 .72540 1,27160 1,86508 2.51902 .74385 .96755 1.29303 2.10752 2. .55100 80.0 1.89113 .75927 ,98385 1.31101 2.13102 90.0 1,91303 2.57794 .77242 .99777 1.32639 2.15116 2.60103 100.0 1.93181 l10.0 .78380 1.00984 1.33976 1.94814 2.16869 2.621l4 120.0 .79379 1.02045 1.35152 1,96252 2.18413 2.63886 8
GB/T10094?2009 y=.01 R 9999990 9995000 9999000 9999500 9999900 9999999 "0 1.06470 1.25885 1.33469 1.49715 1.70455 1.89060 1.33007 1.55508 .64344 1.83363 2.07786 2.29788 30 .0 1.50436 1.74733 2.04992 2.31628 2.55683 l.84314 5 1.63195 1.88771 1.98882 y 20739 48949 2.74464 oy 6.0 3 1.73144 1.9971o 10229 2 32996 62418 2. .89060 7.0 2. 2. 1.81229 2.08599 19449 2 42950 73354 3.00905 A.0 1.87995 2.16037 2.27164 2.51280 2 .82503 3.10814 B.0 1.93782 2.22400 2.33763 2.58405 2.90329 3.19289 10.0 1.98815 2.27935 2.39505 2.64605 2 97138 3.26663 2.03252 2.32817 2.44569 2. 70073 3.03143 3.33167 B0 2 2.07208 37170 2.49085 74949 3.08500 3.38968 2 10768 41087 53149 3.13322 44190 3 2. 79339 p 2. 3. 13995 17696 48928 2 2. 2. 4464 56836 3 8332 3. 22 2. 2. 86957 2.16942 .60202 3.21692 47885 3.53256 6.0 2 2. 2.19648 63294 3.25362 3. 50865 2.90298 57232 7.0 2.53617 2.66149 2.93383 3. 28752 2.22146 3.60904 8.0 2.24461 2.56168 2.68797 3.31896 2.96243 3.64309 9.0 2.26617 2.98907 3.34823 3.67481 2.58543 2.71262 2 20.0 2.60763 2.28631 73566 3.01397 3.37560 3.70446 2.30519 62844 75726 3.03731 3.40125 3.73226 21.0 2 2 .32293 2. 64801 77757 3.05926 3.42538 3.75840 3 2. " .33966 2. 66645 2 79671 s 07996 44813 3.78305 2. a4.o 2. 2. 2. .68388 35517 46964 3 3. 81481 3.09952 80636 3. 3. 2.37044 2.70040 2.83195 3.11805 49001 .82843 2.38465 2.71607 2.84822 3.13564 3.50936 3.84939 2.39817 2.73098 2.86369 3.15237 3.52775 3.86933 2.74518 2.87844 3.16831 3.54528 3.88833 2.4l104 9.0 2 3. 42332 2.75873 2.89251 18353 3.56201 3.90646 30.0 3. 2.43506 2.77168 2.90595 19807 3.57800 3.92379 44629 78408 91882 3.21199 59331 2 31.o D 3.94038 ? 2." 45705 79596 .93116 22533 2.0 2. y 3. 60798 3.95629 2. 94300 3.97155 3.0 2. 2. 2. 46738 .80736 3.23813 3.62207 2.81831 2.95437 a4.o 2. 47731 3.25043 3.63560 3.98622 2. 5.0" 48685 2.82885 3,26227 3.64862 4.00033 2.96532 6.0 2. 2. .49604 97585 4.01392 2.83900 3.27366 3.66115 7.0 2.50490 2.84878 2.98601 3.67324 3.28465 4.02702 38.0 3 2.99580o 2.51344 2.85821 29525 3.68490 4.03966 9.0 2.52169 3.00527 3.30548 3.69616 4.05187 2.86732 40.0 2.87613 2.52966 3.01441 3.31538 3 70704 4.06367 3.32495 3.71757 4.07508 2.53738 2.88464 3.02326 2. 89289 72776 ? 2.54484 3,03182 3.33421 4.08613 3.34319 2.55207 2.90088 3.0401 3.73764 4.09684 2.90862 3.04816 3.35189 74721 4.10722 2.55908 3 " 2 .56588 2.91613 3.05596 3.36033 3 75650 4.11729 46.o 3 2.57248 2.92342 3.06353 3.36852 76552" 4.12707 47.o 2.57889 2.93051 3.07089 3.37648 3.77428 4.13657 8.o 2.58512 2.93739 3.07804 3. 3.78279 4.14580 38422 9.o 2.59118 2,91408 3.08499 3.39174 3.79107 4.15478 0.o 2.59707 2.9506o 3.09175 3.39906 3.79913 4.16351 60.0 2.64842 3.00736 3.15071 3. 46288 3.86937 4.23968 2.68932 3.92536 4.30040 70,0 3,05258 3,19769 3.51374 3.23633 3.97142 4.35037 80.0 2.72295 3.08977 3,55557 2.75126 3,12109 3,26888 4.01023 4.39247 90.0 3,59081 2.77554 3.14796 3.29680 3.62106 4.04354 4.42860 100.0 l10.0 2.79669 3.17136 3.32112 3.64740 4.07255 4.46008 120.0 2.81532 3,19199 3.34256 3.67062 4.09813 4.48784
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GB/T10094一2009 y=.05 R 8500000 9000000 ..9500000 9900000 .9950000 9990000 "” .17385 .13802 .47479 95381 1.10789 1.40923 .09477 .33448 .63914 1.12967 1.29577 1.62643 3." .0 .21906 1.24616 44389 74330 ，41979 l.76807 5 29928 .51878 1.33091 ，50995 .87069 .81778 60 .35757 .57482 .8747m l.94994 1.39644 57968 7.0 .40276 .61904 .92037 1. 44925 63589 2.01382 A.0 .43927 .65521 .95803 4931o 1.68258 2.06690 B.0 .46965 .68557 .98987 1 53034 72226 2.11201 0.0 .49550 71157 1.01730 56253 75657 2.15103 .51786 .73419 1.04127 1.59076 1.78667 2.18527 H0 .53748 .75412 .06247 1.61579 1.81337 2.21565 77187 2.24289 .55489 1.08141 163821 1.83729 50t 1.65845 1.85889 22750 .78782 .09848 .58456 .80226 1.11397 1.67686 1.87855 2.28989 1.12812 1. 69371 2. .59736 .81543 1.89654 31039 7.0 .82749 1 14l12 .60906 1.70920 1.91309 2.32926 8.0 .61983 .83861 1.1531 1 92839 2.34671 1.72352 9.0 1！ .62978 .84890 16423 1.73682 1.94260 2.36291 20.0 1！ .63901 .85846 17458 1.74920 1.95584 2.37802 .86738 1.18425 1.76078 1.96822 2.39215 21.0 64760 .87572 1.77164 65563 1.19330 1.97983 2.40540 " .88355 1.20181 78186 27388 .66316 1.99075 42964 .89092 L.20982 79149 .67024 2.00105 2. 67691 .89788 l.21739 1.80059 2.01079 2.44076 2 68321 .90445 1.22455 1.80921 ,02002 2.45130 .68918 .91068 l.23135 1.81740 2.02878 2.46131 2. .69484 .91660 1.23780 1.82518 2.03711 47083 9.0 2. .70022 .92222 1.24395 1.83259 2.04504 47990 30.0 2. .70534 .92758 1.24981 1.83966 2.05261 48856 .71022 .93270 1.25540 1.84642 2.05985 2.49683 a1.o 2.077 .71488 .93759 1.26075 豆0 1.85289 2.50475 94227 1.85909 2. 07341 2.51234 五" .71935 1.26588 2.079738 a社.0 2. 72362 .94675 1.27079 1. 86503 51963 2.08590 5.0 72771 .95106 1.27551 1.87074 2.52663 6.0 2.09178 .73165 .95519 1.28004 1.87624 2.53336 37.0 2.09744 .73543 .95917 1.2844l 1.88152 2.53984 38.0 2. .73907 .96299 1.28861 1.88662 10290 2.54608 9.0 2. .74257 .96668 1.29266 1.89153 10816 2.5521 40.0 2 .74595 .97024 1.29657 1.89627 11325 2.55793 2.11816 74921 97367 1.30035 1.90085 2.56355 .97699 1.30399 1.90529 2 12291 56899 .75236 2 ? .75540 .98020 1. 30752 1.90957 12750 2. .57425 2. .98330 1.31094 1. 91373 13196 2.57935 .75834 76119 2 .98631 1.31425 1.91775 13627 2. .58429 .76395 2 .98922 1.31746 1.92165 14045 2.58909 47.o 2 .76663 .99205 1.32058 1.92544 14452 2.59374 8.0 .76922 .99479 1.32360 1.92912 2.14846 2. .59820 9.0 .77174 .99745 1.32653 1.93269 15229 2.60265 2. 0.o 2. .77419 1.00003 1.32939 1.93617 15602 2.60691 18836 60.0 79533 1.02242 1. 35412 1.96632 2. 64399 2 .81195 1.04005 1.37364 21397 70,0 1,99018 2.67336 .82547 1.05442 1.38959 2.00970 2. 2.6974 80.0 .23492 .83675 1.06644 1.40294 2.25250 90.0 2.02607 2.71760 .84636 1.07668 1.41433 2.26753 2.73486 100.0 2.04006 l10.0 .85468 1.08555 1.42421 2.05220 2.28057 2.74985 120.0 .86197 1.09334 1.43289 2.06287 2.29205 2.76303 l门
GB/T10094?2009 y=.05 9999990 9995000 9999000 9999500 9999900 9999999 "0 2 1.52275 1.76082 1.85482 2.05791 31989 2.55679 3.0 1.75221 2.01747 2.12255 2.35006 2.64427 2.9108o0 .0 1.90117 2.18263 2. 29434 2. 53652 2.85016 3.13463 30176 41812 s0 3 y p 67060 3.29502 2.00893 2.99791 39361 2. 2 77384 1l57 6.0 2. 2.09212 51352 3. 3.41831 7.0 2 2.15915 46758 2.59033 2.85693 3.20300 3.51745 A.0 2.21483 2.52902 2.6541l 2.92592 3.27889 3.59973 9.0 2.58123 2. 70832 2.98454 3.34337 3.66962 2.26216 10.0 2.30310 2.62639 2. 75521 3.03525 3.39914 3.73008 2.33903 2.66603 .79636 3.07975 3.44808 3.78312 2. B0 2 2.37092 2.70121 83289 3.11925 3 49152 3.83021 .39950 73275 86563 3.15466 3.87242 3.53047 p 2. 76125 56567 3.91057 1253 89523 18666 ? 2. 2 p 22 2. 2 44883 78719 92216 3.21579 3.59770 3.94530 6.0 2 47035 3.24246 3.62704 2.81094 2.94682 3,97710 7.0 2.49016 3.65405 4.00638 2.83281 2.96952 3.26702 8.0 2.50848 2,85303 2.99052 3.67904 4.03347 3.28973 9.0 2.52549 2.87182 3.01003 3.31083 3.70225 4.05863 20.0 3 2.54135 2.88933 3.02822 3.33051 72390 4.08209 2.55619 2.90571 3.04523 3.34891 3.7441 4.10405 92109 06120 3.36618 3.76315 4.12465 2.57011 2 3." a382 2. 93555 07622 22 .58321 3.78103 s" 4.14404 39777 2. 2. 7979 3 3. .59556 94920 09039 3. 4.16233 2. n 3. 2.9621l 10380 3.41228 3.81386 4.17963 2. .61831 3.11650 2.97434 3.42602 3.82899 4.19603 2. 62883 2.98595 3.12856 3,43907 3.84335 4.21l61 2.63882 3. 2.99700 3.14004 45149 3.85702 4.22642 9.0 3. 2.64835 3.00753 3.15097 46332 3.87004 4.24054 30.0 3 3. 2.65745 3,01758 1614] 47462 3.88247 4.25402 66614 02718 17139 .48542 3.89436 4.26691 31.o ? 2. 3. 3. .90574 03638 49576 4.27925 67446 2.0 3. s 3. 18094 3.0 2.68244 3,04519 3.19010 3.50567 3.91664 4.29108 a4.o 2.69009 3.05365 3.19889 3.51518 3.9271l 4.30243 5.0" 3.06178 3.20733 4.31334 2.69744 3.52432 3.93717 6.0 2. 3.5331n 3.94685 .70452 3.06960 4.32384 3.21545 7.0 3.22328 3.54158 3.95617 2. .71l33 3.07713 4.33394 38.0 2.71789 3.08439 3.54974 3.96515 4.34369 3.23082 9.0 2.72422 3.09139 3. 23809 3.55761 3.97382 4.35309 40.0 3.24511 2.73034 3.09815 3.56522 3.98219 4.36216 2.736s5 25190 3.57256 3.99028 4.37094 3.10468 3. 2. .74196 3,ll100 3,25847 3,57967 3.9981m 4.37943 2.74749 3.l1712 3.26482 3.58655 4.00568 4 .38764 2. 75285 3.12305 3.27098 3.59322 4.01302 4.39560 " 2. 75804 3. 12879 3.59968 4.02013 4.40332 3.27695 46.o 2. 76308 3.13436 3. .28273 3.60595 4 .02703 4.41080 2 3 47.o 76797 3. 13977 28835 3.61203 4.03373 4.41807 8.o 2.77272 3. 14502 3.29381 3.61794 4.04024 4.42512 9.o 3. 3 3.62368 4.04656 4.43198 2.77734 15013 29911 0.o 2.78182 3.15509 3.30427 3.62926 4.05271 443865 60.0 2.82080 3.19821 3.34907 3.67778 4. 10613 4.49660 3.38459 4. 4.54257 70,0 2.85168 3.23239 3.71625 14850 2.87698 3.26039 3.41369 4.58024 80.0 3,74777 4.18322 3,28389 3.4381 4.61186 90.0 2.89820 3.77422 4.21236 2.91636 3.30399 3.45901 3.79686 4.23731 4.63893 100.0 l10.0 2.93212 3.32146 3.47716 3.81653 4.25898 4.66244 120.0 2.94599 3.33682 3.49313 3.83383 4.27804 4.68313 12
GB/T10094?2009 y=.10 R ..5000000 6000000 6500000 .7000000 7500000 .8000000 " 2.17625 -1.28581 .92443 .60954 .33295 .08379 a.D 1.08866 .65024 .45108 26085 .07533 .11142 .81887 46298 .03632 .20878 .0 .29500 12982 .68567 36269 20730 05232 10584 B." .27243 8" .60253 .29701 14829 .00127 ..15523 .31880 7.0 .54418 .2494l 10479 .04147 19291 35474 8.0 .50025 .21275 .07088 .07319 22299 38373 9.0 .46561 183338 0434 .09911 24778 40781 10.0 43735 15900 02055 12084 26870 42826 41373 13844 00111 13942 28667 44591 1.0 2.0 .39359 12074 .01570 15555 ..30235 46138 .37615 .03042 16974 11 10530 .47507 .36o85 04347 .48732 09166 18236 .32854 .4837 07950 .34729 .05514 .33964 19367 6.0 .33515 .06857 .06565 .20389 .34969 50839 7.0 .32421 .05866 .07520 .21319 35886 51755 18.0 .31428 .04964 .08393 ,22171 .36726 52596 .30521 .04136 .09193 .22954 .37501 .53373 19.0o 20.0 .29689 .03374 .09932 .23677 .38217 .54092 .28921 ,02669 .10616 .24348 .38883 .54761 21.0 .28210 .02015 .11253 .55386 .24973 .39504 " .27550 .11847 40085 55971 -S 25537" 25 a" .00834 .26933 .12403 .40630 .56521 2619 26357 ,00299 .12925 4ll42 .57038 .27103 25816 .00203 13416 41626 57526 .27561 .25307 .00677 13879 42082 57988 B8.0 .24827 .01125 14317 .27994 42515 58426 29.0 .24373 .01549 14733 .28405 42926 58842 30.0 .23943 .01951 15127 28795 43316 .59238 .23536 15502 .29166 43688 59615 02334 1.0 15859 .2952o 59975 23148 02697 44043 2.0 22779 3.0 .03044 16200 29858 44381 60319 3A.0" .22428 .03375 .16525 .30181 44706 60648 35.0 .22092 .0369 16837 .30491 45016 60964 36.0 .21770 .03995 17135 .30787 45314 .61267 37.0 .21463 .04286 17421 .31072 45600 61557 38.0 .21168 .04565 17696 .31345 45875 61837 39.0 .20884 .04833 17960 .31608 46139 .62106 40.0 .20612 .05091 .18214 ,31861 46394 62366 .20351 05339 18459 46639 62616 .32105 l.0 20099 .05578 .3234o 46876 62858 2.0 .189 .32567 3.0 .19856 .05809 .18923 47105 63091 4.0 .19622 .06032 47326 63317 .32787 9143 19356 32999 .19396 .06247 47540 63535 5.0 46.o .19177 .06455 19562 .33204 47747 63747 47.0 18966 .06656 19761 .33403 47948 63952 48.0 .06851 48142 64151 18761 19954 33596 49.0 .07040 48331 64343 18563 2014] 33783 50. 0 .18372 .07224 .20322 .33964 48514 64531 60.0 .16732 .08795 .21880 .35523 ..50091 66145 .15466 ,10015 .23093 .36740 .51325 70,0 67410 .l4449 .10998 .37724 .52324 80.0 .2407 68437 .13610 .11812 .38541 .53155 90.0 .24883 69293 .12902 .12500 .39234 ..53861 100.0 .25571 70020 l10.0 12294 ,13093 .26164 .39832 54470 70649 120.0 .11764 ,13610 .26681 .40355 .55003 71199 13
GB/T10094?2009 y=.10 8500000 9000000 .9500000 9900000 .9950000 9990000 " .15337 .40257 .71734 1.22515 1.39733 1.74058 .30876 .53478 .84005 1.36082 1.54215 1.90734 3." .39642 .61707 .92238 1.4552o 1.64277 2.02230 .0 .67525 1.52454 45623 98218 71668 2.10651 s.0 60 .50079 .7194] .02822 1.57830 1.77399 2.17175 7.0 53580 75450 1.06516 1. 62165 1.82020 2.22435 A.0 .56432 78333 1.09570 1. 65763 1.85858 2.26803 9.0 .58818 .80759 1.12153 1. 68817 1.89115 2.30512 10.0 .60854 .82840 1.l4378 71454 1.91929 2.33717 .62621 .84653 16322 1.73763 1.94395 2.36526 .64173 .86251 1.18041 7581o 1.96580 2.39017 .65553 .87674 1.19576 77641 2.41246 1.98536 1.20958 79292 88954 2.00301 66790 2.43259 .80793 e D 1.22213 .67907 .901m .01905 2.45088 2. .91168 1.23358 2. 46761 .68924 1,82165 .03372 7.0 .69855 .92136 1.24409 1.83426 2.48300 2.04720 8.0 .93028 1.84591 2.05965 2.49722 70711 .25379 9.0 .71502 .93853 1.26277 1.85671 2.51041 2.07121 20.0 2.08197 .72236 .94620 1.271l3 1.86677 2.52270 .72920 .95335 1.27893 1.87616 2.09203 2.53419 .73559 1.28624 1.88497 10145 2.54496 96004 h.29310 1.89325 .11031 2.355505 .74l58 96631 .74721 1.29956 1866 97222 .56463 2. 1.90105 75252 .97779 l.30566 1.90842 12655 2.57365 2. 75754 .98305 l.31143 1,91540 13403 2.58220 2. 1. 76228 .98804 l.31690 92202 14lll 2.59030 1 3 .76678 .99278 1.32209 92831 14785 2.59801 3 .77106 .99728 1.32704 1.93430 15427 2.60535 30.0 2.16039 .77514 1.00157 1.33175 1.94001 2.61235 .77902 1.33625 1.94547 .16623 2.61904 31.o 1.00566 1.34055 17183 .78278 0 1.00957 1.95069 2.62544 1.95569 o " .78628 1.01332 1,34467 17718 2.63157 3 2. H0 .78968 1.01690 .34862 1.96048 18232 63745 n.0 2. 79294 1.02034 1.3524n 1. 96508 18725 2.64310 6.0 2. .79607 1.02364 1.35605 1. 96951 19200 2.64853 7.0 3 .79907 1.02682 1.35955 1.97377 19656 2.65376 38.0 2. .80196 1.02988 1.36292 1.97787 20096 2.65880 2.20520 9.0 .80475 1.03282 1.36617 1.98182 2.66365 40.0 .80743 1.03566 1.36931 1.98564 2 20929 2.66834 2.67287 1.03841 1.37233 1.98933 .81002 2.21324 .81253 1.37526 1.99289 1.04105 2.67725 B 8. 1.04362 1. .37809 1.99634 2. .68148 8T728 1.04609 .38083 1.99967 2.68559 1.04849 1.38348 2.00291 2.68956 .8195 .82174 1.05082 1.38605 2.00604 2.69342 .82387 47.o 1.05307 38854 2.00909 23444 2.69716 8.o .82593 1.05526 1.39096 2.01204 2.23760 2.70079 .82793 1.05738 1.39331 2.01491 2.24068 2.70432 9.0 50.0 .82987 1.05944 1.39559 2.01769 24367 2.70774 D 84665 1.07727 1. 41536 2.04186 26967 2.73749 60.0 0.0 1.0913 1. 43095 2. .85983 2.06096 2901l 76102 1.10273 1.44366 2 30686 2. 80.0 .87055 2.07655 78025 .87949 1.11227 1.45429 2. .79636 90.0 2.08961 2.32088 .88709 1.12040 1.46335 2.33286 2.81013 100.0 2.10076 l10.0 .89367 1.12744 1.47121 2.34326 2.82207 2.l1043 2,11892 120.0 .89943 1.13361 1.47810 2.35239 2.83256 14
GB/T10094一2009 y=.10 R 9999990 9995000 9999000 9999500 9999900 9999999 "” 2. 1.87138 2.14759 2.25714 2.49459 80203 3.08087 a.D 2.04729 2.34378 2.46162 2.71734 3.04895 3.35002 .0 2.16817 47771 2. 60088 86839 3.21562 ？ 2. 3.53113 2 5 57547 2. 70245 2. 97839 3.66263 2.25662 3.33680 2 2. 6n.0 2.32510 651l10 78100 3.06340 3.43036 3.76411 7.0 2 2. 2.38031 71204 84428 3.13185 3.50569 3.84579 ，" 2.42615 2.76263 2.89681 3.18867 3.56819 3.91355 n.0 2.46508 2.80559 3.23691 3.62125 3.97106 2.94141 10.0 2.97996 2.49872 2.84271 3.27859 3.66710 4.02076 2.52820 2.87525 3.01374 3.31513 3. 70729 4.06432 1l.0 20 2.55434 2.90410 3.04370o 3.34753 74292 4.10295 3. 2.57774 07052 37654 .77483 4.13753 心 2.92993 s " 95325 09474 40273 3.80364 4.16876 n心 3. 心 2.59887 1675 2 4.19716 心 3. 3.82984 2.61808 97446 42655 3 n.0 2. 13690 3.44834 3.85381 4.22315 .63565 2.99386 7.0 3.01170 3.15543 3.46838 4.24705 2.65180 3.87586 8.0 2.66673 3,02819 3.17255 3.48690 4.26914 3.89624 9.0 2.68059 3.04349 3.18844 3.50409 3.91515 4.28964 20.0 2.69350 3.05774 3.20325 3.5201l1 3.93277 4.30875 2.70556 3.07107 3.21709 3.53509 3.94925 4.32661 2. .71687 08357 .23006 54913 3.96470 3 3. 4.34337 3 09532 24227 56234 22 72751 3. s 3.97923 .35912 3. 2 397 25378 心 57479 .37398 3. 3.10640 3.99294 74701 3. 2. 4 3.ll1687 .26465 3.58656 4.00589 .38802 2. 75599 3.12679 3.27495 3.59770 4.01815 4.40132 2. 76450 3.13620 3.28473 3.60828 4.02980 4.41395 2. 77260 3.14515 3.29403 3.61834 4.04087 4.42595 29.0 2. 78031 3.15367 3.30288 3.62793 4.05142 4.43739 30.0 2.78767 3. 16180 3.31133 3,63707 4.06148 4.44830 .79470 16957 31940 3.6458o 4.07109 4.45873 31.o D 3. 3. 17701 必 65416 4.46871 2.0 2.80142 心 32712 4.08030 3 3.33452 3.0 2. .80786 3.18413 3,66217 4.08911 4.47827 a4.o 2.81404 3.19096 3.34162 3.66986 4.09757 4.48744 5.0" 2.81998 3.19753 3.34844 3.67724 4.10570 4.49625 6.0 4 11351 4.50473 2.82569 3.20384 3.35499 3.68434 7.0 2.83118 3,20991 3.36131 3.69117 4 12103 4.51288 38.0 2.83647 3.21577 4.12828 4.52074 3.36739 3,69775 3.37325 9.0 2.84158 3.22141 3. 7041o 4.13527 4.52832 40.0 3.37891 3,71023 2.84651 3,22686 4！ 14202 4.53564 85127 38438 s 4，14853 4，54271 1615 2. 3.23212 3 3. 3 2. .85587 3,23721 38967 4.15484 4.54955 72188 72742 心 2.86032 3.24214 3.39479 4. 16094 4.55617 2.86463 3.24691 3. 73278 4 16685 4.56258 3.39974 " 2.86881 3.25153 3. 40455 3. 73798 17257 4.56879 3 46.o 2.87286 3.25601 40920 3. 74303 17813 4.57481 47.o 2.87680 3.26036 3.41372 3. 74792 4.18351 4.58065 8.o 3. 2.88061 3.26459 3.41811 4 18875 4.58633 75267 9.o 2.88432 3.26869 3.42237 3.75729 4.19383 4.59184 0. 0 2.88793 3.27268 3.42652 3 4.19871 4.59720 76178 60.0 2.91920 3.30729 3.46248 3.80072 4.24166 4.64373 4 27561 4 .68056 70,0 2.94394 3,33467 3,49094 3.83154 3.35706 3.51421 4.71069 80.0 2.96416 3.85675 4.30338 2.981l 3,37583 3.53371 3.87788 4.73596 90.0 4.32666 2.99559 3.39187 3.55038 4.34656 4.75755 100.0 3.89594 l10.0 3.00816 3.40578 3.56485 3.91l62 4.36383 4.77629 120.0 3.01920 3,41801 3,57756 3.92540 4.37901 4.79277 15
GB/T10094?2009 y=.20 ..5000000 6000000 6500000 .7000000 7500000 8000000 " .97325 49282 .28503 ,09088 .09696 .28764 a.D .61237 .27587 11588 .04310 ..20548 .37738 .0 .11075 .43213 48924 18658 .03873 26580 s0 42081 13296 00950 15470 .30646 47034 .09578 6.0 .37540 ,04366 .18649 .33645 .49908 7.0 34232 .06793 .06962 .21097 .35984 52175 8.0 .31679 .04599 .09025 .23061 3787" 54025 9.0 .29630 .02812 10720 .24685 39452 55574 10.0 .27936 01317 12144 .26058 40791 56897 .26505 .00042 13365 27239 41948 58045 1.0 2.0 .25274 .01062 14426 2827o 42960 59053 15361 .2918o 24202 02032 43858 .59948 8 .16192 .29992 23256 02891 44660 .60751 i.0 .61475 .30723 .03661 .22413 16938 45382 6.0 .21656 ,04356 .17613 .31384 46039 62134 7.0 .20971 .04986 .18226 .31987 46638 62737 18.0 .20348 .05563 .18788 .32540o 47188 63291 19.0 19777 .06092 19304 .33049 47695 .63802 20.0 19251 .06580 19782 .33520 48165 .64277 .18766 ,20224 .33958 64719 21.0 07033 48602 18316 .20637 S35 .65131 07454 49009 " .17896 .21022 .34717 07846 49391 65518 17504 .21383 a" .08214 49749 .65881 .17137 .08559 .35441 50086 66223 .21722 .2204 .16792 .08884 .35758 50405 66546 .16467 .09191 .22343 .36058 50705 .66852 B8.0 .16161 .09480 .22628 .36341 50990 .67141 29.0 15870 .09755 .22899 .36610 .51261 .67417 30.0 15595 10015 23156 36866 .51518 67679 15334 10263 .23400 .3711o 51764 67928 31.o .37342 68167 .51997 15086 10499 23633 2.0 14849 10724 3.0 .23856 .37564 52221 68395 3A.0" .14623 .10940 .24068 .37776 .52435 68613 35.0 .14407 .ll1145 .24272 .37979 .52640 68822 6.0 .14200 .11342 .24467 .38174 .52836 .69022 37.0 .14002 l1532 .24654 .38361 .53025 .69215 38.0 13812 11713 .24834 .38541 ..53206 69401 13630 11888 .25007 .38714 ..53381 69579 39.0 40.0 13454 12055 .25173 .3888o ..53549 .69751 69917 13286 12217 25333 3904 53711 l.0 13123 .7007 2.0 12373 .25488 .39195 ..53868 .25637 3.o .12966 .12523 .39345 .54019 70232 4.0 .12815 12669 .39489 54165 .25781 70382 .25921 .70526 .12669 12809 .39629 54307 5.0 46.o .12528 12945 .26056 39764 54443 70666 47.0 12391 13076 .26186 39895 54576 70802 48.0 70934 12259 13203 26313 40022 54705 49.0 71062 12131 13327 26435 40145 54829 50. 0 .12007 .13446 .26554 40264 .54950 71186 60.0 .10944 .14473 .27577 4129 55993 72257 .10122 15272 .28373 .56809 70,0 42093 73096 .09461 15915 .29017 .57469 80.0 42742 73776 .08914 .16449 ,29551 .58019 90.0 43282 74343 .08453 .16901 .30003 ..58486 100.0 43739 74825 l10.0 .08056 .17290 .30393 .44133 .58889 .75242 120.0 .07711 17629 .30733 .44478 .59241 .75606 16
GB/T10094?2009 y=.20 R 8500000 9000000 .9500000 9900000 .9950000 9990000 " .49377 73728 1.07699 1.67207 1.88149 2.30532 .56869 1.12597 1.71027 1.91850 2.34222 79914 " 1.17239 1.76o12 1.97067 .61926 84680 2.40014 o 2.01387 65583 88260 1.20882 1.80105 2.44858 60 .91053 2. .68384 1.23781 1.83422 .04900 2.48814 7.0 2. 70620 ,93308 1.26148 1. 86160 .07804 2. .52092 A.0 .72459 .95176 1.28125 1. 88464 2 l0251 2.54859 B.0 .74007 .96759 1.29809 1.90437 3 12349 2.57234 0.0 ny 75336 .98123 1.31267 92152 14174 2.59302 .76493 .99315 1.32545 1.9366o 2.61124 2.15781 2. .77512 1.00368 1.33679 1.95002 17210 2.62747 1.34693 1.96205 .18493 64204 2 .78420 1.01309 22 1.02155 .35608 2 .79235 1.97293 19653 65522 .79978 1.98283 2.20710 1.36439 l.02922 2.66724 3 .80644 1.37198 1. 99189 2. l.03622 67824 7.0 .81260 1.04264 1.37896 2.00023 " 22567 2. .68837 8.0 2. .81826 1.04856 1.38540 2.69775 2.00794 .23390 9.0 .82350 1.05404 1.39137 2.0151o 2.70646 2.24155 20.0 2.24867 .82837 1.05914 1.39692 2.02176 2.71457 .83290 1.06389 1.4021m 2.02800 25533 2.72217 .83714 1.40697 03384 72929 2. 23 2. 1.06834 .8411m 1.07251 273539 3 2.2676 l.4l154 03934 .84485 .04452 .27299 3 7231 1.07644 1.41584 2. .84837 1.08014 l.41990 2.0494l 27823 2.74828 2. .85170 1.08365 1.42374 2.05405 .28319 2.75394 2. .85485 1.08697 l.42738 2.05844 .28789 2.75931 D 2. .85784 1.09012 1.43084 2.06262 .29237 76442 .86068 1.09312 1.43413 2.06661 2.29663 2.76929 30.0 .86339 1.09597 43727 2.07040 2 .30069 2.77393 .86597 1.0987o 1.44027 .07403 2.30458 2.77837 2. 31.o 0775o 282 0 86844 1.10130 1.44314 3" 2.78262 144588 08082 185 2. 2.31 " .87079 l.10379 2.78668 2. 2. H0 .87305 1.10618 1. 44851 31526 .79059 2.08401 35.0 2.08707 2. .87522 1.10847 1. 45103 .31854 2.79433 6.0 2.09002 2. .87729 1.11067 1.45346 .32169 2.79794 7.0 2. 3 .87929 1.l1278 1.45579 09285 .32473 2.80141 38.0 2. 2 .88121 1.1l482 1.45804 09558 32765 2.80475 9.0 .88307 1.11678 1.46020 2. 09821 2 33047 2.80798 40.0 2,10075 2.33319 .88485 1.11867 1.46229 2.81109 .88657 2. 1.46431 10320 1.12050 2.33582 2.81409 2 12226 10557 33836 3 .88823 1. 1,46625 2. 81700 2. .88984 1.12396 1.46814 2.10786 34081 2.81981 4.0 .89140 1.1256 1.46996 2.34319 2.82254 2.l1008 45.o .89290 12721 1.47173 11223 2 .34550 2.82518 46.o .89436 12876 1.47344 l1432 2 34773 2.82774 47.o .89577 13026 47510 11634 2.34990 2.83022 8.o 2. .89714 11830 2.35201 2.83263 13171 1.47671 .89847 1.13313 2. 12021 2.3540s 9.0 1.47828 2.83497 50.0 .89976 1.13450 1.47980 2 12207 2.35604 2.83725 60.0 .91091 1.14637 1.49296 13814 2 37328 2. 85700 2. 2. .91967 1.15570 1.50333 15083 2 38690 2.87262 70,0 .92679 1.16330 1.51178 2.16119 80.0 2.39803 2.88539 .93272 1.16964 1.51885 2.16987 2,40734 90.0 2.89608 .93777 1.17504 1.52487 2.17727 2.41530 2.90521 100.0 2 l10.0 .94213 1.17971 1.53009 42220 2.91314 2.18369 2,18933 120.0 .94596 1.18381 1.53467 2.42825 2.92010 17
GB/T10094?2009 y=.20 9999990 9999999 9995000 9999000 9999500 9999900 " 2.46833 2.81450 2.95235 3.25192 3.64109 3.99497 a.D 2.50572 2.8535o 2.99215 3.29368 3.68572 4.04243 2.56610 2.91945 .0 3.0604l 3.3671l 3.76609 4.12926 2. 97496 42909 3.83403 4.20273 ,.0 2.61674 3.l1793 3 47987 6n.0 2.65812 3.02039 3.16502 3 3. 88972 4. .26298 7.0 2.69244 3,05809 3,2041l 3.52204 3.93598 4.31304 8.0 2.72141 3.08995 3.23715 3.55769 3.97510 4.35538 9.o 2.74630 3. 11732 3.26554 3.58833 4.00873 4.39178 10.0 2.76796 3.14117 3.29027 3.61503 4.03805 4.42352 3. 2.78706 16219 3.31208 3.63858 4.06391 4.45152 B0 3. 2.80407 18092 3.33152 3,65957 4.08696 4.47647 2.81935 34898 3.67843 3.19775 410768 449891 3. 36479 4.51923 3.21299 3. 6955 12644 2.83318 A5S3775 3. 4.14354 2.84578 3.22687 3.37920 71108 6.0 2.85732 3.23959 3.72535 4.55473 3,39240 15922 7.0 2.86795 3.40457 3.73849 4.17367 4.57038 3.25131 8.0 2.87779 3,26216 3.41582 3.75066 4.18704 4.58487 9.0 2.88693 3.27224 3.42628 3.76196 4.19947 4.59833 20.0 2.89544 3.28163 3.43604 3.77251 4.21106 4.61089 2.90341 3.29042 3.44516 3.78237 4.22190 4.62264 .29867 45373 79163 4.23208 3 2.91089 s 4.6336 3. .91792 4.24166 " 46179 s 80034 4.64405 2 3.30643 3.80856 25070 465384 3. 2.92456 3.31376 46939 2.93083 3.32068 3.47657 3.81634 4.25925 4 66310 4. 2.93677 3.32724 3.48338 3,82370 4.26735 67188 4 2.94241 3.33347 3.48985 3.83069 27504 4.68022 2.94777 3.33939 3,49600 3.83735 4.28235 4.68814 29.0 2.95288 3.34503 3.50186 3.84368 4.28932 4.69570 30.0 2.95776 3.35042 3.50745 3.84973 29598 4.70291 2.96242 3.35556 .51280 3.85551 4.70980 31.o 4.30233 3. 51791 2.0 s 3. 86105 4.30842 4.71640 2.96688 3.36049 4.31425 4.72272 3.0 2.97115 3.36521 3,52281 3.86635 a4.o 2.97525 3.36974 3.52752 3.87144 4.31985 4.72879 5.0" 2.97919 3.37409 3.53203 3.87632 4.32523 73462 6.0 2.98298 3.37827 3.53638 3.88102 4.33040 4.74023 7.0 2.98662 3.38230 3.54056 3.88555 4.33538 4.74563 38.0 2.99013 3.38618 3.54459 3.88991 4.34018 4.75083 39.0 2.99352 3.38992 3.54848 3.89412 4.34487 4.75585 40.0 2.99679 3.39353 3.55223 3.89818 4.34928 4.76069 2.99995 3.39702 3.55586 3.90210 35359 4.76537 4.0 2.0 4.76990 3.00300 3.40040 3,55936 3.90590 4.35777 3.0 3.00596 3.40367 3.56276 3,90957 4 36181 4.77428 3.00882 3.40683 3.56604 3.91313 4 36573 4.77853 " 3.o1159 3.40990 3.56923 3.91657 4 36952 4.78264 46.o 3.01428 3.41287 3.57232 3.91992 4.37320 4.78663 47.o 3.01689 3.41575 3.57531 3.92316 4.37677 4.79050 8.o 3.01943 3.41856 3.57822 3,92631 4.38024 4.79426 9.o 3.02189 3,42128 3.58105 3,92937 4.3836o 4.79791 0.o 3.02428 3.42392 3.58380 3.93235 4.38688 4.8o147 60.0 3.04504 3.44688 3.60765 3.95817 41537 4.83230 3.06146 3,46505 3,62653 4 43781 4.85670 70,0 3.97860 3.07488 3.47990 3.64196 4 45621 4.87666 80.0 3.99532 3.08613 3,49235 3,65489 4.00933 4 47164 4.89340 90.0 3.09573 3.50298 3.66595 4.02130 4.48483 4.90771 100.0 l10.0 3.10407 3.51221 3.67553 4.03168 4.49627 4.92012 120.0 3.11139 3,52031 3,68396 4.04081 4.50633 4.93104 18
GB/T10094?2009 y=.40 R ..5000000 6000000 6500000 .7000000 7500000 8000000 "" .22975 .09237 .25457 42457 .60878 .81586 .0 .16667 .12012 .26662 .41983 .58443 76726 .0 .13677 .27796 .42572 ..58435 76025 13834 .43195 12107 14826 .28684 58775 76048 B." 15684 8" .l0908 .29387 .43744 .59161 76256 16356 7.0 .10010 .29957 .44214 .59528 76509 8.0 .09304 16902 .30431 .44618 59860 76765 9.0 .08731 17356 .30833 44969 60159 77008 10.0 .08252 .31180 45276 60427 77235 .07845 18078 31482 45548 60669 77445 1.0 2.0 .07493 18370o .31749 45791 60887 77639 .31987 .07184 18630 46009 61085 .77817 8 .06911 18862 2201 G1267 .77982 46206 5.0 06667 32395 78I5 61433 19070 46386 06447 6.0 19260 .32572 .61586 46551 78277 17.0 .06248 19433 .32734 .61728 46702 78410 .06066 .19591 .32883 .61860 18.0 46842 78533 19.0 .05899 19738 .33020 46972 .61983 78649 20.0 .05745 19873 .33148 47094 62098 78758 .05603 19999 .33268 47207 ..62205 78861 21.0 .05470 .20117 .47313 .62307 .78958 ..33379 " .05347 .20227 790t5 33483 712 62402 79136 aL0 .47506 .62492 33582 .05232 .20330 .20427 .33674 .47595 62577 79218 .05123 05022 .20518 .33762 47679 62658 79296 .04926 .20605 .33844 47759 62735 79371 28.0 .04835 20686 .33923 47834 62808 79442 29.0 .04749 .20764 33998 47906 62878 79510 30.0 .04668 .20838 .34069 47975 62945 79575 .04591 20908 .34136 48040 79637 31.o 63008 .04517 20976 79697 34201 48103 63069 2.0 .04447 34263 79754 3.0 .21040 48163 .63128 3A.0" .04380 .21101 .34322 48220 .63184 79809 35.0 .04316 .21160 .34379 48276 .63238 79862 36.0 .04255 .21216 .34433 48328 .63289 79913 37.0 .04196 .21270 .34485 48379 .63339 79962 38.0 .04140 .21322 .34536 48428 ..63387 .80009 39.0 .04085 .21372 .34584 .48476 ..63434 .80055 40.0 .21420 ,34631 .48521 ..63479 .80100 04033 21487 .03983 34676 48565 63522 80142 41.0 2.0 .03935 m .34720 48608 .63564 80184 21533 .03888 3.0 .34762 48649 .63604 80224 4.0 .21596 .03843 .34802 48689 63643 80263 45.o 21637 .03800 .34842 487217 63681 80301 46.0 .03758 .21676 .34880 48765 63718 80337 47.0 .03717 2 .34917 48801 63754 80373 .21751 48.0 .03678 .34952 48836 80407 63789 .21786 49.0 .03639 ,34987 48870 63823 8044 .21821 50.0 .35021 63855 80474 03602 48903 03285 60.0 .22118 .35312 49190 .64140 80758 22350 .35540 .64364 70,0 .03040 49415 80984 .02842 .22538 .35725 .64548 80.0 49599 81169 .02679 .22694 .35879 .64702 90.0 49752 81324 .02540 .36010 .64833 100.0 22826 49883 81457 l10.0 .02421 .22940 .36123 49996 .64946 .81573 120.0 .02318 ,23040 .36222 .50094 .65046 .81674 19
GB/T10094?2009 y=.40 8500000 9000000 .9500000 9900000 .9950000 9990000 " 1.05979 1.36890 1.82659 2,67232 2.97779 3.60303 a.D .97998 1.24692 1.64048 2.37154 2.63724 3.18289 .96455 1.22056 1.59798 2.30027 2.55596 3.08150 .0 2.2728o .0 96101 1.21226 1.58274 52424 3.04130 oy a.0 ? .96101 1.20967 1. ..57643 2.26002 50922 3.02184 2. 7.0 .96225 1.20932 1.57383 2.25355 50143 3.01145 8.0 .96394 1.20996 1.57299 2.25022 2 49726 3.00564 9.o .96576 1.21104 1.57306 2.24859 49507 3.00236 10.0 .96757 1.21232 1.57360 2.24795 49404 3.00058 .96933 1.21367 1.5744 2.24790 49372 2,9997" B0 .97099 1.21502 1.57536 2.24822 2 49384 2.99949 .97256 1.21635 .57637 24876 2. 3 49424 2.99964 .21764 2 97404 1.57712 49483 3.00004 1.5784s .25023 49553 L87 3 .97543 .00062 6.0 3 2 1.57949 25106 97674 1.22005 49631 3.00131 7.0 1.58050 2. 2 49713 97797 1.22118 25192 3.00208 2.25279 8.0 1.58147 2 49798 .97912 1.22225 3.00290 9.0 .98022 1.22328 1.58242 49883 3.00375 2.25366 20.0 2.25452 .98125 1.22425 1.58333 49969 3.00461 .98222 1.22518 1.58421 2.25536 2 50054 3.00547 22607 1.58506 25619 2.50137 2. .98315 3.00633 1. 25701 22691 3 1.58588 98403 50220 3.00719 1.22772 2 98487 25780 .00803 3. 1.58667 .50300 3. .98566 1.22849 . 58743 2.25857 2 50379 00886 98642 1.22924 l.58816 2.25933 " 50456 3.00968 2. .98715 1.22995 l.58886 2.26006 ,50531 3.01048 .98784 1.23063 1.58954 2.26077 2.50604 3.01126 9.0 2 .98851 1.23128 1.59020 2.26146 .50675 3.01202 30.0 2. .98914 1.23191 59083 26213 2.50744 3.01277 .98975 1.23252 1.5914 2.26278 .01350 31.o 3. 26342 2.0 .01421 99034 1.23310 1.59203 3. " .99091 1.23367 1,59261 2.26403 " 50941 3.01490 34.o 3 .99145 1.23421 l.59316 51004 3.01558 2.26463 2. 2. 5.0" .99197 1.23473 l.59369 26521 ,51064 3.01624 6.0 2. 2. .99248 1.23524 1.59421 26578 .51123 3.01688 7.0 2. 2. .99297 1.23573 1.59472 26633 .51181 3.01751 38.0 2. 2.51237 .99344 1.23620 1.59521 .26687 3.01812 9.0 .99390 1.23666 1.59568 2. 26739 2.51291 3.01872 40.0 2.26790 2.51344 .99434 1.23711 1.59614 3.01930 3.01987 2.51396 99476 1.59659 .26840 1.23754 .99518 159702 26888 4n 1.23796 .51 3,02043 .99558 1.23837 1.59744 2.26935 51496 3.02097 .99597 1.23876 1.59785 2.26981 2. ,51544 3.02151 " 2 .99635 1.59825 2.27026 .51591 3.02203 1.23914 46.o 1.23952 .99672 1.59864 2.27070 3 51637 3. 02253 47.o 99707 1.23988 59902 2.27112 2. 51682 3.02303 2.51726 8.o .99742 1.24023 .59939 2 27154 3.02352 9.o .99776 1.24058 1.59976 2.27195 3.02399 2.51769 0.o 2.5181m .99809 1.24091 1.60011 2.27235 3.02446 60.0 1.00096 1.24386 1. 60322 27589 .52184 3.02861 2. 2. 1.24622 1.60573 2788o 70,0 l.00325 .52491 3.03205 1.00514 1.24818 1.60783 52750 80.0 2.28124 2. 3.03495 2.52971 1.24984 1.60961 3.03744 90.0 l.00673 2.28333 1.00809 1.25126 1.61115 2.53163 3.03961 100.0 2.28514 l10.0 1.00928 1.25250 1.61250 2.28673 2.53333 3.04153 120.0 1.01033 1.25360 1.61369 2.28814 2.53483 3.04323 20
GB/T10094?2009 y=.40 R 9999990 9995000 9999000 9999500 9999900 9999999 " 3.84528 4.36193 !.56833 5.01789 5.60350 6.13716 3.39473 3.84706 4.02791 4.42202 4.93572 5.40407 30 .0 3.28567 3.72178 3.89621 4.27639 5.22405 4.77205 67155 4.21763 4.70578 5.15098 3.24223 3. 3.84328 60 67286 3.221l0 3.64689 3.81723 4.18858 4 5.1l457 7.0 3.20973 3,63346 3,80299 4 17261 4 65466 5.09437 A.0 3.20330 3.62575 3.79478 4. l6332 4.64399 5.08246 B.0 3.19962 3.62123 3. 78993 4. 15777 4 63756 5.07524 0.0 3.19757 3.61862 3. 78710 15448 4 63368 5.07084 3.19653 3.61720 78554 4.1526o 4.6314 5.06822 3 H0 3 19616 3.61656 78479 4.15164 4.63019 5.06677 . 19621 61643 4.15131 s 78460 4.62968 5.06612 3. 3. 19655 61665 78477 4.15139 s 62966 5.06601 3. 3. 4.62997 4.15177 .06627 3.19709 3 5. 3.6171l 78521 6.0 4.63052 3.19775 3.78581 4.15235 3.61773 5.06681 7.0 3.78654 4. 15307 4.63124 3.19851 3.61847 5.06753 8.0 3.19932 3,61928 3.78735 4. 15389 4.63208 5.06838 9.0 4 3.20017 3.62013 3.78822 15477 4.63299 5.06933 20.0 3 3.20104 3.62102 78912 4.15570 4.63396 5.07034 3.20191 3,62193 3.79004 4.15665 4.63496 5.07139 3.2029 62284 4.15762 5.07247 s s 79097 4.63599 79190 4.1586o 3. 62376 3 4.63702 5.07356 030 3. 3. 62466 .20453 79282 4.15957 4.63805 07466 3. 5. 3.20338 4. 4 3.62556 3.79374 16053 63909 5.07575 3,20621 4 3.62645 3.79465 16149 4.64011 5.07684 3.20703 3.62732 3.79554 4.16243 4.64112 5.07791 4 3.20784 3.62817 3.79642 l6336 4.64211 5.07897 9.0 3 3.20862 3.62901 79728 16427 4.64310 5.08002 30.0 3. 3.20939 3,62983 79813 16516 4.64406 5.08105 .21o14 63064 4.16604 4.64500 79895 31.o 5.08206 3." 3. 3 2.0 79976 4.16690 4.64593 5.08305 3. 3.21088 3.63143 4.16774 3.0 3.21159 3.63219 3,80055 4.64684 5.08402 3. o 3.21229 3.63295 .80133 4. 16857 4.64773 5.08498 35.0 3.21298 3.63368 3.80208 4. 16937 4.64860 5.08591 6.0 3.21364 3.63440 3.80282 4.17016 4.64946 5.08683 7.0 3.21429 3.63510 3.80355 4.17093 4.65029 5.08772 38.0 3.21493 3.63579 3.80425 4.17168 4.65111 5.08860 9.0 3.21555 3.63646 3.80494 4.17242 4.65191 5.08946 40.0 3.21616 3.63711 3.80562 4.17314 4.65269 5.09030 21675 4.17385 3.80628 4.65346 5.09112 3. 3.63775 .65421 5.09192 3.21733 3.63838 3,80693 4.17454 3.21789 3.63899 3 .80756 4 17521 4 65494 5.09271 3,63959 3.80818 4. 17587 4.65566 5.09348 3.21844 3.21898 3,64018 3.80878 4.65636 5. .09424 .17652 3.21951 .17715 3,64075 3.80937 4.65705 5.09498 47.o 3,2200:3 4.17777 3.64131 3.80995 4.65772 5.09570 8.o 3.22053 3.64186 3.81052 .17838 4 65838 5.0964 9.o 3.22103 3,64239 3.81107 .17897 4.65903 5.0971 0. 0 3.22151 3.64292 3.81161 4.17955 4.65966 5.09779 60.0 3.22584 3,64764 3.81649 4.18478 4 66536 5.10393 3.22943 3,65155 3.82054 4 5.10906 70,0 18914 4.67012 3.23246 3.82398 5.11342 80.0 3.65487 4.19283 4.67416 3.23506 3,65773 3,82693 4.196o1 4.67764 90.0 5.l1718 3.23734 3,66022 3.82951 4.68069 5.12047 100.0 4.19879 l10.0 3.23934 3.66242 3.83179 4.20125 4.68338 5.12338 120.0 3.24112 3.66438 3,83383 4.20344 4.68578 5.12598 21
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GB/T10094?2009 y=.50 R .8500000 .9000000 .9500000 9900000 .9950000 9990000 "0 1.41451 1.78422 2.33873 3,37597 3.75294 4.52669 1.20329 1.49848 1.93842 3.06643 3.68821 30 2.76448 2. .0 1.14282 1.82951 2.88304 3.46458 l4l887 60082 52577 3 1.38182 77928 2.79900 3.36214 1.ll439 60 75094 2 l.09791 .36046 75046 48284 3. .30358 71987 7.0 2. 1.08717 1.34659 73179 45508 3.26572 8.0 1.07961 1.33685 71872 2 43567 2 69814 3.23925 9.0 1.07401 1.32965 70908 2 42134 2 68210 3.21971 10.0 1.06970 .32410 70163 2. 41032 2 66978 3.20469 2 1.06627 1.31970 69574 4016o 2 .66001 3.19279 1l.0 120 1.06348 1.31613 1.69096 2.39451 2.65209 3.18313 1.06117 1.68700 .64552 3.17514 3 1.31316 y 38864 1.05923 .31067 3 38371 2.6400o0 .68366 3.1684 2. 2.63528 1.30854 1. 68082 .37949 3.16266 l.05756 6.0 2 30670 1.67836 2.37586 63121 3.1577 l.05612 . 7.0 1.30509 1.67621 2.37268 2 3.15339 1.05487 .62767 8.0 1.30368 1.67433 2.62455 l.05377 2.36990 3.14958 9.0 1.05279 1.30243 1.67266 2.36742 3.14621 2.62178 20.0 2.61931 1.05191 1.30131 1.671l6 2.36522 3.14320 1.05113 1.30030 1.66982 2.36323 3.14050 2.61709 61509 3.13806 1.05o42 2. 1.29939 1.66861 36144 i.o4977 1.66752 2 3.13585 22 1.29857 35982 2 1.o4918 1.29782 2.G2 35834 1.66651 3.13383 3 1.04865 1.29713 l.66560 2.35698 61010 3.13199 2. 1.04815 1.29650 l.66475 2.35574 ,60871 3.13029 2. 1.04769 1.29592 66398 2.35459 .60742 3.12872 1. 1.04727 .29538 66326 2.35353 2.60624 3.12728 9.0 1.04688 1.29488 1.66259 2.35255 2.60514 3.12594 30.0 2. 1.04652 1.29441 1.66197 35163 2 60411 3.12469 1.04618 1.66140 2.35078 3.12352 31.o 2.60316 l.29398 2 3.1224 2.0 2.020 1.04586 1.29357 1.66086 34998 3.0 l.04556 l.29319 1.66035 2.34923 " 60143 3.12142 a4.o l.04528 1.29284 l.65988 2.34853 " 60064 3.12046 2. 5.0" 1.04502 1.29250 l.65943 2.34787 ,59990 3.11956 6.0 2. 1.04477 1.29219 65901 .59921 3.11871 2.34725 7.0 2.34666 2 1.04454 1.29189 1.65861 .59855 3.11791 38.0 1.04432 1.29161 1.65823 2.59793 3.11716 2.34610 2.34558 9.0 1.04411 1.29134 1.65788 2.59734 3.11644 40.0 2.34508 1.04391 1.29109 1.65754 2 59678 3.11576 1.o4372 .65722 3.11512 1.29083 2.59626 23 1.29062 1.65692 59575 l.04354 g 3.11450 2. 1.04337 1.29040 1.65663 59527 3.11392 1.04321 1.65635 3 59482 3.l1337 2.34332 1.29019 " 1.04306 1.65609 34293 3 59438 3.11283 46.o 2 1.04291 1.65584 .34256 59397 3.11233 47.o 1.04277 1.28962 65559 2 34221 2.59357 3.11184 8.o 2. 1.04263 1.28945 65536 2.59319 3.11138 34187 9.o 1.04250 2.34154 2.59282 3.11094 1.28929 1.65514 0. 0 1.04238 1.28913 1.65493 2.34123 2.59247 3.11051 60.0 1.04136 1.28784 1. 65321 2.33869 58963 3.10705 2 2. 1.65199 2.33689 70,0 l.04065 l.28692 .58762 3,10460 1.28624 1.65109 2.58612 80.0 1.04011 2.33555 3.10277 1.28571 1.65038 2.58496 3.10136 90.0 l.03970 2.3345 1.03936 1.28529 1.64982 2.33368 2.58403 3.10023 100.0 l10.0 1.03910 1.28494 1.64937 2.33301 2.58328 3.09931 120.0 1.03887 1.28466 1.64898 2.33245 2.58265 3.09854 23
GB/T10094?2009 y=.50 9999990 9995000 9999000 9999500 9999900 9999999 " 4.82701 5,46829 5.72470 6,28347 7.01187 7.67605 a.D 3.93004 4.44705 .65395 5.10509 5.69358 6.23048 3.69087 4.17481 5.34216 .0 4.36851 4.79097 5.845ll .58132 4.23777 4.05011 4.64708 518117 5.66855 ,.0 3. 089l0 6n.0 3.51869 3.97881 4.16302 4. 56480 5 5 .56757 7.0 3,47820 3.93272 4.l1469 4,51160 5.02957 5.50228 8.0 3.44989 3.90049 08089 4. 4744l 4 98795 5.45662 N n.0 3.42899 3,87670 05595 4. 44694 4.95721 5.42291 N 10.0 3.41293 3.85842 4.03677 42584 4. 93359 5.39700 3.40021 3,84393 .02158 4.40911 4.91487 5.37646 l.0 20 3.38988 3.83217 4.00925 4.39554 4.89967 5.35979 82243 4.38429 3.38132 4.88709 5.34599 3. 3.99904 37413 .33t37 3.81423 4.37483 4.87650 3. 3.99044 3. 3.9831 5. ..36798 3.80724 4.36676 4.86746 .32445 6.0 3.36268 3,80120 3,97678 4.35979 4.85966 5.31590 7.0 3.35806 3.97126 4. 35371 5.30843 3.79594 4.85286 8.0 3.79131 3,96640 3.35399 4.34836 4.84687 5.30187 9.0 3.35039 3.78720 3.96210 4.34363 4.84157 5.29605 20.0 3.34717 3.78354 3.95826 4.3394o 4.83683 5.29085 3.34428 3.78025 3.95481 4.3356o 4.83258 5.28619 3.34167 3.95169 4.33217 77728 3. 4.82874 5.28198 4.32905 4.82526 5.27815 7158 s" 3.33931 3,94886 32622 7212 5.27467 4.82208 3. 3.33715 3.94629 4 3.33517 3.76988 3.94393 4.32362 81917 5.27148 4. 3.33336 3.76781 3.94176 32123 4.81650 5.26855 3.33168 3.76590 3.93976 4.31903 4.81404 5.26584 3.33014 3.76414 3.93791 4.31700 4.81176 5.26335 9.0 3.32870 3.76251 3.93620 4.31511 4.80965 5.26103 30.0 3.32737 3.76099 3,93461 4.31336 4.80768 5.25887 3.32612 75957 93312 4.31172 4.80585 5.25686 31.o 3 3. .32496 .93173 2.0 4.31019 4.80414 5.25498 3. 3.75824 3. 4.30876 4.80253 3.0 3.32387 3.75700 3,93043 5,25322 a4.o 5. 3.32285 3.75584 3.92921 4. 30741 4.80103 25157 4 5.0" 3.32188 3.75474 3.92806 4.30615 79961 5.25002 6.0 3.32098 3.75371 3.92698 4.30495 4.79828 5.24855 7.0 3.32012 3. 75274 3.92595 4.30383 4 79702 5.24717 38.0 3.31931 3,92499 4.30277 4.79583 5.24586 3.75181 3. 9.0 3.31855 75094 3.92407 4.30176 4.79470 5.24463 40.0 3.75012 3.31782 3.92321 4.3008o 4.79363 5.24345 3.92238 4.29990 4.79262 5.24234 3.31713 3.74933 4.29903 4.79165 5.24128 3.31648 3.74858 3.92160 79073 5.24027 3.31585 3.74787 3.92085 4. 29821 4 3.92014 4. 29743 78986 5.23931 3.74720 3.31526 " 74655 3.31469 3. 3.91947 4.29669 78902 5.23840 n.0 3.31415 3. 74593 3.91882 4.29597 78822 5.23752 47.o 3,3136:3 3. 74534 3.91820 4.29529 78746 5.23668 3 8.o 3.31313 74478 3.91761 4.78673 4.29464 5.23588 9.o 3.31266 3.74424 3.91704 4.29401 5.2351 78603 0.o 3.31220 3.74372 3.91650 4.29341 4.78536 5.23438 60.0 3.30850 3.73950 3.91208 4.28855 4.77991 5.22840 4. 28510 4. 5.22416 70,0 3.30588 3.73652 3.90894 77605 3.30392 3.73429 3.90661 4.28253 4 77317 80.0 5.22101 3.302 3.73257 3,90480 4.28054 5.21856 90.0 4.77094 3.30120 3.73119 3.90336 4.27895 5.21661 100.0 4.76917 l10.0 3.30022 3.73007 3.90218 4.27766 4.76772 5.21502 120.0 3.29940 3.72914 3.90121 4.27658 4.76651 5.21370 214
GB/T10094?2009 y=.60 R ..5000000 6000000 6500000 .7000000 7500000 8000000 " .22975 ,58070o .77891 .99975 1.25098 1.54430 .16667 .46491 .62592 79989 .99224 1.21135 " 42095 .57171 13834 73325 91046 l.1l086 s0 .12107 .54218 39620 6980 .86832 1.06029 60 .l0908 .37982 .52303 .67557 .84194 l.02908 7.0 .10010 .36796 .50936 .65976 .82356 1.00757 A.0 .09304 .35887 .49899 .64788 80987 99169 B.0 .08731 .35161 49078 .63855 79919 97937 0.0 .08252 .34564 48408 .63097 79058 96949 .07845 34063 47848 62468 78345 96135 .07493 33634 ..47371 .61934 77743 95450 .33262 .6i7 77227 94865 07184 46958 32935 7677 94356 06911 .61072 4659r7 .60718 6381 93910 827 .06667 .32644 6.0 .32384 .45992 .60403 .76030 .06447 93515 7.0 .32149 .45735 .60120 ..75715 .06248 93161 18.0 .06066 .31936 .45502 .59864 75431 93843 .05899 .31742 .45290 59631 .75173 .92554 19.0o 20.0 .05745 31563 45096 59418 74938 .92291 .05603 .31399 .44917 .59222 74722 92050 .05470 44752 .59041 74523 .91829 31246 .05347 44598 .58874 74338 91624 .31104 .30972 74167 05232 .44455 .58718 .91433 .03128 .30849 .44322 .58573 74008 91256 .0502 .30733 44197 58437 73858 91091 .04926 .30624 44079 58309 73719 90936 .04835 .30521 43969 58189 73587 90791 .04749 .30424 43864 58076 73463 .90654 30.0 .04668 .30332 43766 57969 73347 .90525 .0o4591 .30245 43672 .57868 73236 31.o 90403 .04517 .30162 57772 0 43583 73131 90287 30083 90178 " .04447 .43499 .57680 73032 H0 .04380 .30008 .43418 .57594 .72937 90073 5.0" .04316 .29936 4334 5751l .72847 89974 6.0 .04255 .29868 43268 .57432 72761 89880 7.0 .04196 29802 43198 .57356 72679 .89789 38.0 .04140 .29739 .43131 .57284 72600 .89703 39.0 .29679 .43066 .5721" 72525 .89620 04085 40.0 .29621 .43005 .57148 72453 .89541 04033 03983 29565 42945 57084 72383 89465 4l.0 .03935 2951 57023 72317 .42888 89392 " .03888 .29460 .42833 .56964 72253 89322 .03843 .56907 89254 .29410 .42780 72191 " .29362 2132 .03800 22e 56852 89189 2679 46.o 29315 72074 .03758 56799 89127 47.o .03717 29270 42632 56748 72019 89066 8.o .03678 .71966 89008 29227 42585 56698 9.o .03639 .42541 88951 29185 56650 71914 0.o .29144 .42498 .566o4 .71864 88897 03602 03285 60.0 .28797 .42129 .5621 .71440 88434 .41846 .55909 .71l16 70,0 .03040 .28529 88082 .02842 .28315 .41621 .55669 ..70858 80.0 87802 .02679 .28138 .41435 .55472 ..70647 90.0 87574 .02540 .27989 .41279 .55307 ..70471 100.0 87383 l10.0 .02421 .27862 .41145 .55166 .70320 .87220 120.0 .02318 .27751 .41029 .55043 .70189 .87079 25
GB/T10094?2009 y=.60 .8500000 9000000 .9500000 9900000 .9950000 9990000 " 1.90025 2.36237 3.06139 4.37970 4.86084 5.85031 3.0 1.47195 1.80552 2.30676 3.25582 3.60429 4.32339 1.34781 1.64973 10217 95847 3.27310 .0 D 2. 3.92274 2 1.57429 2. s0 1.28659 00471 81874 3.73548 3.l1783 G.0 2 l.24932 l. .52890 1. 94672 73639 3.02650 3. .62558 7.0 2. 1.22388 1.49819 1.90780 68154 2.96574 3. 55262 8.0 1.20522 1.47582 1.87964 2.64208 2.92210 3.50029 n.0 1.19085 1.45869 1.85818 2.61217 2 88903 3.46071 10.0 1.17937 44506 1.84l19 2.58859 2 86301 3.42959 1.16996 43393 1.82737 2.56947 2 84191 3.40439 l.0 20 1.16206 1.42463 1.81585 2.5536o 2 8244 3.38350 1.15533 .41672 2.80963 2. 1.80609 54019 3.36588 3.35077 1.14951 79769 2 52867 79694 1.40989 78592 2. 1.40393 51866 3. 1.14441 79036 33765 6.0 1.13989 1.39867 2.50986 2. 77624 3. 78392 32613 7.0 1.13587 1.39398 2 76766 77818 2.50206 3.31593 18.0 1.13225 1.38978 77305 2.49508 2. 75999 3.30681 2 1.12898 1.38598 1.76842 2 4888o 75309 3.29861 19.0o 20.0 2. 2. 1.12600 1.38253 76422 48311 74684 3.29119 1.12328 1.37937 1.76039 47792 2 74115 3.28444 2. 1.12077 1.37648 75687 47317 3.27825 3 2.73593 75364 2 3.27257 l.37381 46881 1.l1846 2.73114 75065 2 1.37133 46478 2.72672 1.l1631 3.26733 2 3. 1.ll432 1.36904 1.74787 46104 o 72262 .26247 2. 3. 1.11246 1.36690 1.74528 2.45756 .71881 .25796 2. 3. 1.l1072 1.36490 1.74287 2.45432 .71525 .25375 1. 2 2 1.10909 1.36302 74061 45129 71193 3.24982 9.0 2 1.10755 1.36126 73849 44845 70881 3.24613 30.0 2. 1.10611 1.35961 73649 44577 70588 3.24267 1.10474 1.35804 44325 73461 2. 31.o 3.23940 2.70312 2 2.0 1.10345 1.35656 73283 44088 3.23633 2.70052 10222 73115 43863 3.0 2 1.35516 2.69806 3,23341 2. a4.o 3. 1.1o106 1.35383 72955 43649 2.69572 23065 5.0" 1.09995 1.35256 1.72803 2 69350 3.22803 2.43447 6.0 2. 1.09889 1.35135 72659 43254 2 .69139 3.22555 7.0 2 1.09789 1.35020 1. 72521 43071 2.68939 3.22318 38.0 1.09692 1.34911 1. 72390 2 42896 2 68747 3.22092 1.09600 1.34806 72264 2. 42729 2.68565 3.21876 39.0 2. 40.0 1.09512 1.34705 72144 42569 2 68390 3.21670 2. .21472 1.09428 1.34609 72029 42416 68223 3. 4.0 1.09346 1.34517 71918 2 68062 3.21283 2.0 42270 2 67908 3.0 2. 2. 1.09268 l. 34428 1.71812 42129 3.21102 1.09193 1.34342 1.71711 41994 2 67761 3.20928 2 " 1.09121 1.34260 1.71613 2 41864 2 67619 3.20760 1.09051 1.34181 71518 2 41739 2 67482 3.20599 6.0 47.o 1.08984 1.34105 71427 2 41619 2.67350 3.20444 8.o 2. 1.08919 1.34031 41503 2.67224 3.20295 1.71340 9.o 1.08857 1.33960 2. 41391 2.67101 3.20150 1.71255 0.o 1.08796 1.71173 2.41282 2.66983 l.33891 3.2001l 60.0 1.08284 l. 33312 1. 70485 2. 40373 65990 3.18842 2 2. 1.32873 2.39690 3.17965 70,0 l.07896 1,69965 .65244 1.32527 1.69556 3.17278 80.0 1.07588 2.39153 2.64659 1.32244 1.69224 2.64184 3.16721 90.0 l.07337 2.38718 1.07127 1.32009 1.68947 2.38356 2.63790 3.16258 100.0 l10.0 1.06949 1.31809 1.68712 2.38050 2.63456 3.15867 120.0 1.06795 1.31636 1.68509 2.37786 2.63169 3.15530 26
GB/T10094?2009 y=.60 R 9999990 9995000 9999000 9999500 9999900 9999999 " 6.23487 7.05660 77.38535 8.10209 9.03687 9.88957 a.D 4.60350 5.20286 5.44289 5.96654 7.27395 6.65005 .0 4.71776 5.4084o 4.17590 4.93480 6.02670 6.59117 5.1483o 3.97620 449147 4.69788 5.73639 6.27331 60 35889 99604 3.85908 N 4.5591 4. 5 56652 6.08738 7.0 3.78136 4.27099 4.46714 4. 89516 45403 5.96429 8.0 3.72564 4.20802 4.40125 4. 82293 5.3735 5.87621 n.0 3.68351 4.16043 4.35147 76838 5.31272 5.80973 10.0 3.65040 12304 4.31238 72554 5 26500 5.75755 3.62359 4.09279 !.28075 4.69090 5.22642 5.71537 H8 3.6o139 4.06775 4.25457 4.66223 5 19450 5.68047 58265 1.23248 .16758 5.65105 4.04662 4.63805 3. .56658 14453 .62586 4.02852 .21356 4.61734 3. 5 19714 4.59937 S 4.01281 12453 5. 3.55264 .60401 6.0 4.18274 5. 10700 3.54o41 3.99903 4.58361 5.58486 7.0 4.16998 5.56790 3.52957 3.98682 4.56966 5.09148 8.0 3.97593 15860 5,07763 5.55277 3.51989 N 4.55721 9.0 3.51l18 3.96613 14836 4.54601 5.06518 5.53917 20.0 3.50330 3.95726 13910 4.53588 5.05391 5.52687 3.49612 3.94919 .13067 4.52666 5.04367 5.51568 48956 5 .03430 5.50545 3.94181 4.12296 4.51823 3." 93503 4.51049 02569 5.49605 4.1l588 348353 3. 3.47797 5.48739 4.50335 3.92877 4.10934 01775 4. 3.92298 4.l0329 49674 5.01040 5.47937 3.47281 3. 4. 46803 3.91760 4.09767 49060 5.00358 5.47191 3. 4. 46356 3.91258 N 09243 48487 4.99722 5.46497 3 45939 3.90789 N 08754 47952 4.99128 5.45848 9.0 4 3.45548 3.90350 08295 47451 4.98571 5.45241 30.0 3.45180 3,89937 4.07864 4698o 4.98048 5.44670 44834 4.07458 4.46537 4.97555 5.44132 31.o 3.89548 3." 44507 4.07075 5.43625 2.0 4.46118 4.97090 3." 3.89182 4.45723 4.9665 3.0 3.44199 3.88835 4.06713 5.43146 a4.o 3.43906 3.88506 4.06370 4. 45348 4 96235 5.42692 4 5.0" 343628 3.88195 4.06045 44993 4.95841 5.42262 6.0 5. 3.87898 4.05735 4. 44655 4.95466 41853 3.43364 3. 7.0 431l3 3.87616 4.0544 4. 44334 4.95109 5.4l463 38.0 3.42874 3.87348 4.05161 4 44028 4.94769 5.41092 9.0 3.87091 4.04893 4 43735 4.9444 5.40738 3,42645 40.0 3.42426 3.86846 4.04637 4 43456 4.9413 5.40400 .t2217 3.86611 4.04392 4.93837 5.40076 4.43188 t07 4.0417 4.93553 3. 3,86386 4,42932 5,39766 3. 41824 3.8617 4.03932 4. 42686 4 .93280 5. .39468 3. 41640 3.85963 4.03716 42451 4 93018 5.39183 " 3. 3,85765 4.03508 42224 4 92767 5. .38908 4l462 46.o 3. 41292 3.85573 4.03309 42006 4.92525 5. .38644 47.o 411227 3. 3.85389 03116 41796 4.92292 5.38390 N 8.o 3. 40969 3.85211 4.02931 4.92067 5.38145 4.41594 9.o 40816 3.85040 4.02752 4 41399 4.91851 5.37909 3. 0.o 3.40669 3.84875 4.02580 4.4121o 4.91642 5.37682 60.0 3.3943 3,83487 4.01132 4. 3963 4 89890 5.35771 3.38502 3.82447 4.00047 4. 38447 70,0 4.88577 5.34340 3.37774 3.81632 3.99197 4.37520 80.0 4.87549 5.33220 3.37184 3,80972 3,98508 4.36770 5.32313 90.0 4.86717 3.36695 3.804214 3.97938 4.36148 4.86028 5.31562 100.0 l10.0 3.36280 3.79961 3.97454 4.35622 4.85444 5.30926 120.0 3.35924 3.79563 3,97039 4.35169 4.84943 5.30380 27