EXCEL 在测量计算中的应用%ã°aew¾bbs.3c3t.com·ÕxÊ÷
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1 前言 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 随着计算机电脑网络和多媒体技术的发展普及,电脑在我们工作和生产中的应用越来越普遍,计算机的操作平台也由DOS过渡成为WINDOWS95、98系列。OFFICE97已成为我们办公必备软件。 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 2 电子表格——EXCEL 简介 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 2.1引用:引用的作用在于标识工作表上的单元格或单元格区域,并指明公式中所使用的数据的位置。通过引用,可以在公式中使用工作表不同部分的数据,或者在多个公式中使用同一单元格的数值。还可以引用同一工作簿不同工作表的单元格、不同工作簿的单元格、甚至其它应用程序中的数据。引用不同工作簿中的单元格称为外部引用。引用其它程序中的数据称为远程引用。 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 当复制使用相对引用的公式时,被粘贴公式中的引用将被更新,并指向与当前公式位置相对应的其它单元格。如果不希望在复制公式时,引用发生改变,请使用绝对引用。例如,如果公式将单元格 A5乘以单元格 C1(=A5*C1),现在将公式复制到另一单元格中,则公式中的两个引用都将改变。如果在不希望改变的引用前加一个美元符号($),就可以对单元格 C1 进行绝对引用。如果要对单元格 C1 进行绝对引用,请如下在公式中加入美元符号:=A5*$C$1 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 3、 EXCEL在测量计算中的应用 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 3.1坐标计算 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 我们可以把路中线分解成为:直线段、前缓和曲线段、圆曲线段、后缓和曲线段分别计算。 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 3.1.1 资料表(ZL) %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 启动系统,进入EXCEL后,在电子表格中输入基本文字及表头。如交点桩号、JDX、JDY、方位角等等。为了叙述方便我们以石黄高速K25+800——K36+000段为例把表格定为40行。如表1 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 在表中键入路线的路由特征及曲线要素。 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 校正栏目 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ M3=IF(L3-L2>0,1,-1) %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 然后选第二个工作表。 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷
表1 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | A %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | B %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | C %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | D %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | E %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | F %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | G %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | H %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | I %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | J %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | K %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | L %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | M %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 1 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 交点号 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 交点X %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 交点 Y %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 交点里程桩号 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 切线长 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 半径 R %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 前缓和曲线长 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 圆曲线长 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 后缓和曲线长 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 方位角度分秒 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 方位角十进制 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 方位角弧度制 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 校正 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 2 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | od %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 206179.668 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 496425.995 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 23000 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 0 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 0 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 0 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 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%ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 3.1.2 直线段(ZX—1)如表2 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 表2 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷
%ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 表中第1、2、行数据源自资料表: %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ B1=zl!D2;E1=zl!B2;G1=ZL!C2;B2=E1;E2=G1;G3=$B$1; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 表中第3行为表格排列: %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ A4=$G$2; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ B4=(A4-$G$2)*COS(RADIANS(ZL!$K$2))+$B$2; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ C4=(A4-$G$2)*SIN(RADIANS(ZL!$K$2))+$E$2; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ E4=A40+20; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ F4=(E4-$G$2)*COS(RADIANS(ZL!$K$2))+$B$2; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ G4=(E4-$G$2)*SIN(RADIANS(ZL!$K$2))+$E$2; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ A5=INT(A4/20)*20+20;E5=INT(E4/20)*20+20; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷
其余单元格分别为选中该列已定义完的单元格按住鼠标向下一拖,即可得到所要桩号坐标。其中“RADIANS()”函数意义为将“()”内的角度数值变为弧度. %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷
%ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 3.1.3第一缓和曲线段(HH1——1)如表3 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 表3 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷
%ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 表中第1、2、行数据源自资料表: %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ B1=ZL!F3 ;D1=ZL!G3 ;F1=ZL!K2 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ H1=ZL!D3-ZL!E3 ;B2=ZL!E3*COS(RADIANS($F$1+180))+ZL!B3 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ D2=ZL!E3*SIN(RADIANS($F$1+180))+ZL!C3 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ F2=ZL!M3 ;A4=$H$1 ;B4=$H$1-A4 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ C4=B4-B4^5/(40*$B$1^2*$D$1^2) ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ D4=B4^3/(6*$B$1*$D$1)-B4^7/(336*$B$1^3*$D$1^3) ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ E4=SQRT(C4*C4+D4*D4) ;F4=30*B4^2/(PI()*$B$1*$D$1) ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ G4=$F$1+$F$2*F4 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ H4=$B$2+E4*COS(RADIANS(G4)) ;I4=$D$2+E4*SIN(RADIANS(G4)) ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 其余单元格分别为选中该列已定义完的单元格按住鼠标向下一拖,即可得到所要桩号坐标。 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 3.1.4圆曲线部分(YQX——1)如表4 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 表4 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | A %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | B %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | C %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | D %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | E %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 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%ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 表中曲线要素均源自资料表: %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ F3=$B$1-$B$2+$F$2 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ B4='hh1-1'!F1+90*'hh1-1'!F2*yq1!F2^2/PI()/D2/F2 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ D4='hh1-1'!B2+SQRT((yq1!F2yq1!F2^5/40/yq1!D2^2/yq1!F2^2)^2+(yq1!F2^3/6/yq1!D2/yq1!F2yq1!F2^7/336/yq1!D2^3/yq1!F2^3)^2)*COS(RADIANS('hh1-1'!F1+'hh1-1'!F2*30*yq1!F2^2/PI()/yq1!F2/yq1!D2)) %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ F4='hh1-1'!D2+SQRT((yq1!F2- %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ yq1!F2^5/40/yq1!D2^2/yq1!F2^2)^2+(yq1!F2^3/6/yq1!D2/yq1!F2-yq1!F2^7/336/yq1!D2^3/yq1!F2^3)^2)*SIN(RADIANS('hh1-1'!F1+'hh1-1'!F2*30*yq1!F2^2/PI()/yq1!F2/yq1!D2)) %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 表中第5行为表格排列; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ A6=$F$3 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ B6=A6-$F$3 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ C6=$B$4+$D$3*90*B6/3.1415926/$D$2 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ D6=2*$D$2*SIN(RADIANS(90*B6/3.1415926/$D$2)) ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ E6=$D$4+D6*COS(RADIANS(C6)) ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ F6=$F$4+D6*SIN(RADIANS(C6)) ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 其余单元格分别为选中该列已定义完的单元格按住鼠标向下一拖,即可得到所要桩号坐标。 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 3.1.5第二缓和曲线段(HH1—2)如表5 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 表中曲线要素均源自资料表: %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 表5 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷
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H4=$B$2+E4*COS(RADIANS(G4)) ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ I4=$D$2+E4*SIN(RADIANS(G4)) ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 其余单元格分别为选中该列已定义完的单元格按住鼠标向下一拖,即可得到所要桩号坐标。 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 3.1.6直线段(ZX—2)如表6 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 表6 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | A %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | B %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | C %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | D %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | E %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | F %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 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%ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ E3='hh1-2'!H1 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ B4=E1+B2*COS(RADIANS(ZL!K3)) ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ E4=G1+B2*SIN(RADIANS(ZL!$K$3)) ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ A6=$E$3 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ B6=(A6-$E$3)*COS(RADIANS(ZL!$K$3))+$B$4 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ C6=(A6-$E$3)*SIN(RADIANS(ZL!$K$3))+$E$4 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ E6=A40+20 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ F6=(E6-$E$3)*COS(RADIANS(ZL!$K$3))+$B$4 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ G6=(E6-$E$3)*SIN(RADIANS(ZL!$K$3))+$E$4 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷
这样就完成了“直线——缓和曲线——圆曲线——缓和曲线——直线”的计算过程。如果下面还有需要计算,就将“HH1——1”“YQX1”“HH1——2”“ZX2”这四个工作表复制在后面的工作表中即可。 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 3.2路基高程计算: %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 路基高程计算就很简单了,下面以‘石—黄高速公路石衡界至沧州市段衡水市分段’中K25+800——K26+520为例:(表7) %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷
表7 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷
%ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 其中:K25+800——K25+915段纵坡I=-0.0006; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ K25+915——K26+185段为凹竖曲线,半径R=300000,T=135; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ K26+185——K26+300段纵坡I=+0.0003; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ K26+300——K26+500段为凸竖曲线,半径R=200000,T=100; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ K26+500—— 段纵坡I=-0.0007; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ G2=20.4 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ G3=G2+(A3-A2)*-0.0006 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ G4——G8由G3单元格拖出。 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ G9=$G$8-(A9-$A$8)*0.0006+(A9-$A$8)^2/2/300000 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ G10——G23由G3单元格拖出。 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ G24=G23+(A24-A23)*0.0003 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ G25——G29由G3单元格拖出。 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ G30=$G$29+(A30-$A$29)*(0.0003)-(A30-$A$29)^2/2/200000 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ G31——G39由G3单元格拖出。 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ G40=G39-(A40-A39)*0.0007 ; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ G41——由G3单元格拖出。 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷
3.3路基高程的验收比较 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 路基交验工作是我们经常遇到的,其中最繁琐的就是路基高程的验收比较,对路基高程与设计高程做出比较,我们才可以知道所接收的路基是低还是高,高的需要挖掉,低的需要重新处理,也就可以进行高程索赔。下面我以石黄高速公路E标段的路基接收检测结果的一部分为例,加以说明。如表8: %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 当时所检测的点分别为距中线:1.5M、10.25M、12M双幅六个点。其中B、C、D、E、F、G等六列为水平仪的前视读数,本表暂做隐藏处理,表里不做体现。 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 3.3.1 H、I、J、K、L、M等六列为所测点的高程: %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ H3=视线高-B3; %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ I3、J3、K3、L3、M3为H3单元格拖出。 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 3.3.2 N、O、P、Q、R、S等六列为设计高程,数值是从表7中拷贝的。 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷
%ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 表8 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 1 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 前视读数 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 实测高程 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 2 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 桩号 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 2.75 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 8.75 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 1.5 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 1.5 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 8.75 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 2.75 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 2.75 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 8.75 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 1.5 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 1.5 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 8.75 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 2.75 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 3 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 32800 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 2.107 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 2.245 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 2.332 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 2.523 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 2.6 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 18.871 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 18.733 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 18.646 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 18.455 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 18.378 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 4 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 32840 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 2.029 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 2.056 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 2.331 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 2.365 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 2.548 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 2.623 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ | 18.949 %ã°aew¾bbs.3c3t.com·ÕxÊ÷ %ã°aew¾bbs.3c3t.com·ÕxÊ÷ 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