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[推荐] EXCEL 在测量计算中的应用 [复制链接]

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EXCEL 在测量计算中的应用ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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1 前言 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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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。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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2 电子表格——EXCEL 简介 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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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。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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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 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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3、 EXCEL在测量计算中的应用 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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3.1坐标计算 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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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。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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3.1.1 资料表(ZL) ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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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 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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在表中键入路线的路由特征及曲线要素。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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然后选第二个工作表。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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3.1.2 直线段(ZX—1)如表2 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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                                                       表2 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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表中第1、2、行数据源自资料表: ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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B1=zl!D2;E1=zl!B2;G1=ZL!C2;B2=E1;E2=G1;G3=$B$1; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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表中第3行为表格排列: ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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A4=$G$2; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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B4=(A4-$G$2)*COS(RADIANS(ZL!$K$2))+$B$2; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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C4=(A4-$G$2)*SIN(RADIANS(ZL!$K$2))+$E$2; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

E4=A40+20; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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F4=(E4-$G$2)*COS(RADIANS(ZL!$K$2))+$B$2; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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G4=(E4-$G$2)*SIN(RADIANS(ZL!$K$2))+$E$2; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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A5=INT(A4/20)*20+20;E5=INT(E4/20)*20+20; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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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. ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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3.1.3第一缓和曲线段(HH1——1)如表3 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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                                                        表3 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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表中第1、2、行数据源自资料表: ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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B1=ZL!F3   ;D1=ZL!G3   ;F1=ZL!K2  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

H1=ZL!D3-ZL!E3  ;B2=ZL!E3*COS(RADIANS($F$1+180))+ZL!B3  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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D2=ZL!E3*SIN(RADIANS($F$1+180))+ZL!C3  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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F2=ZL!M3  ;A4=$H$1  ;B4=$H$1-A4  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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C4=B4-B4^5/(40*$B$1^2*$D$1^2)  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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D4=B4^3/(6*$B$1*$D$1)-B4^7/(336*$B$1^3*$D$1^3)  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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E4=SQRT(C4*C4+D4*D4)  ;F4=30*B4^2/(PI()*$B$1*$D$1)  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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G4=$F$1+$F$2*F4  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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H4=$B$2+E4*COS(RADIANS(G4))  ;I4=$D$2+E4*SIN(RADIANS(G4))  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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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。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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3.1.4圆曲线部分(YQX——1)如表4 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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                                                           表4 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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A ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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B ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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C ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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D ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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                                                          表5 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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B2=yq1!B2*COS(RADIANS($F$1+180))+yq1!$D$1  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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D2=yq1!B2*SIN(RADIANS($F$1+180))+yq1!$F$1  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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A4=H1-D1  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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E3='hh1-2'!H1  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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B4=E1+B2*COS(RADIANS(ZL!K3))  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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E4=G1+B2*SIN(RADIANS(ZL!$K$3))  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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A6=$E$3  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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B6=(A6-$E$3)*COS(RADIANS(ZL!$K$3))+$B$4  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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C6=(A6-$E$3)*SIN(RADIANS(ZL!$K$3))+$E$4  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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E6=A40+20  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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F6=(E6-$E$3)*COS(RADIANS(ZL!$K$3))+$B$4  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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G6=(E6-$E$3)*SIN(RADIANS(ZL!$K$3))+$E$4  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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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。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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3.2路基高程计算: ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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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) ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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                                                             表7 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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                        ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

   其中:K25+800——K25+915段纵坡I=-0.0006; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

     K25+915——K26+185段为凹竖曲线,半径R=300000,T=135; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

     K26+185——K26+300段纵坡I=+0.0003; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

     K26+300——K26+500段为凸竖曲线,半径R=200000,T=100; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

     K26+500—— 段纵坡I=-0.0007; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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     G2=20.4  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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     G3=G2+(A3-A2)*-0.0006  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

     G4——G8由G3单元格拖出。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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     G9=$G$8-(A9-$A$8)*0.0006+(A9-$A$8)^2/2/300000  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

     G10——G23由G3单元格拖出。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

     G24=G23+(A24-A23)*0.0003  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

     G25——G29由G3单元格拖出。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

     G30=$G$29+(A30-$A$29)*(0.0003)-(A30-$A$29)^2/2/200000  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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     G31——G39由G3单元格拖出。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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     G40=G39-(A40-A39)*0.0007  ; ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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     G41——由G3单元格拖出。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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3.3路基高程的验收比较 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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: ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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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。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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3.3.1 H、I、J、K、L、M等六列为所测点的高程: ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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3.3.3  T、U、V、W、X、Y等六列为比较值: ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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T3=INT((H3-(N3-0.71))*1000); ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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U3、V3、W3、X3、Y3为T3单元格拖出。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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在这六列中使用了条件格式功能,设置单元格的条件格式可以判断单元格是否符合所需条件,如果符合就按指定格式显示。如本表中比较值大于10毫米小于-20毫米的显示为桔黄色。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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    条件格式的具体设置步骤如下: ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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3.3.3.1 选择要设置格式的单元格。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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3.3.3.2 单击“格式”菜单中的“条件格式”。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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3.3.3.3 要把选定单元格中的数值作为格式的条件,单击“单元格值为”选项,接着选定比较词组,然后在合适的框中键入数值。输入的数值可以是常数,也可以是公式,公式前要加上等号(=)。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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除了单元格中的数值外,如果还要对选定单元格中的数据或条件进行评估,可使用公式作格式条件。单击左面框中的“公式为”,在右面的框中输入公式。公式最后的求值结果必须可以判断出逻辑值为真或假。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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3.3.3.4 单击“格式”。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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3.3.3.5 选择要应用的字体样式、字体颜色、边框、背景色或图案,指定是否带下划线。只有单元格中的值满足条件或是公式返回逻辑值真时,Microsoft Excel 才应用选定的格式。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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3.3.3.6 要加入另一个条件,单击“添加”,然后重复步骤 3-5。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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最多可设定三个条件。 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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4、结束语 ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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EXCEL是一个功能很强的软件,它具有强大的运算分析处理能力。本文只是对它在工程测量计算中的使用作了简单的介绍。我们在使用它的时候会发现它能够大大提高我们的工作效率。
[/UseMoney]ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡
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谢谢ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡

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回复:[推荐] EXCEL 在测量计算中的应用

直接上传一张样表嘛,多方便!!ª»ìÚ½q¾¨a?bbs.3c3t.comE Âœ¨fš;‡
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