fx9860程序使用说明

程序使用说明--CASIO 9860G 公路三维坐标计算程序程序说明：本程序是一款运行用CASIO 9860G 系列上的公路三维坐标计算程序，程序约8KB大小，使用9860中的表文件作为程序数据，由于受9860主存大小限制，一次约能进行200个交点（交点法）或是约600个线元（线元法）的公路平面坐标和中桩高程，如使用内部后备存储器（1.5M）在需要时手动调入进行计算，或是使用SD卡为数据载体则计算只受这两个容量的限制。

程序功能:程序能选择交点法（一般适用用主线）或是线元法（一般适用于岔道）计算，他们有相同的功能：1、全线三维坐标正算,计算全线路上任一桩号偏距点坐标（支持斜交）2、全线三维坐标反算，实测一点坐标，计算该点所在的桩号及偏距3，线路任一点放样工作，设站后输入任一点桩号偏距斜交即计算测站到该点平距及方位4、批量计算三维坐标，从指定的桩号向结束处或开始处按（以＋或-的为间距间距）连续计算点的三维坐标5、路面挂线测量，支持全站仪和水准仪操作，实测一点计算该点到指定的结构层的高度，用于指导结构层抄平工作6、任意断面隧道超欠挖程序，实测断面上任一点即可得到该点的超或是欠挖值，支持单独断面，或是将断面加入到线路中去（该程序需单独起动不在统一界面选择下）5、结构物相对位置正反算，计算结构物前后左右的点在线路上的坐标或是实测一点后反算实测点到结构特轴线的前后左右（该程序需单独起动不在统一界面选择下）注意：路线上任一点三维坐标中（程序中现计算的是中心高程，如要计算断面点高程则表中要有相应的超高数据并把调用时的Prog”SQX”改成0（零）->O(欧)：Prog "CHAOGAO"，即可计算断面点高程），反算路线上任一坐标的里程和距中心的位置，程序界面及提示说明：主起动程序：MainProg （该程序只起一引导作用，执行时可以直接选择交点法或是线元法直接执行）起动后屏幕显示：Ji SHuan Fang Fa:‘计算方法选择JiaoDianFa: (F1)‘按F1选交点法XianYuanFa: (F2)‘按F2选线元法每个计算所显示提示都是以拼音或是显见的字符表示，对于交点法和线元法，都提两种输入数据方式：一是在EXCEL中组织好数据存成CSV文件后直接导入（当然也可以在程序指定的列表中输入）；二是程序运行时输入，即在运行程序是，根据相应的提示输入数据，由程序自动存入列表中，下面以交点法来说明各阶段的各种提示的意思和处理注意事项，F1交点法按9860面板上最上面一行的功能键F1就直接选择了交点法进行计算，会弹出下面的提示：DuBiaoGeShuJu(1)ShouGongShuRu(123)1读表格中数据直接计算（表格中数据格式见后面说明）1.1）输1后执行还会弹出提示：YaoChuShiHuaBiaoGe？‘要不要初始化表格Chu Shi Huan (-1)‘要初始化输－1Zhi Jie Shi Yong‘－1外的任意值就直接使用表格中数据计算注解：要不要初始化表格，表格中倒进9860的数据在第一次使用时必须要初始化后才能计算，这主要是基于提高处理速度和可能要把表格中的数据输出作为资料使用，初始化计算的内容是每个交点的主点桩号和主点坐标，初始化是一个费时的过程，在第一次初始化后，以后只要表格中的数据没有破坏，就可按非－1的任意值计算了，建议把初始化后的表格备份到寄存器或是SD卡上。

Ck-1重要！請將您的手冊与所有材料保存于方便存取之處，以便于未來參考使用。

目錄1 按鍵与顯示屏 (3)按鍵 ..........................................................................................................................3按鍵索引 ..................................................................................................................3顯示屏 . (5)2 快速入門 (6)打開与關閉電源 ........................................................................................................6使用模式 ..................................................................................................................6基本計算 ..................................................................................................................6重放特征 ..................................................................................................................7分數計算 ..................................................................................................................7指數計算 ..................................................................................................................8圖示功能 ..................................................................................................................8雙圖形 ......................................................................................................................9動態圖形 ................................................................................................................10表列函數 (11)3 舉例 (12)例1：積分計算 .....................................................................................................12例2：矩陣計算 .....................................................................................................13例3：統計計算 ......................................................................................................14例4：電子數据表 ...................................................................................................15例5：電子數据表 ...................................................................................................16例6：圖形（二次不等式） ......................................................................................17例7：動態圖形 ......................................................................................................18例8：表格（指數函數） ..........................................................................................19例9：遞歸（遞歸圖形） ..........................................................................................20例10：橢圓圖形 ...................................................................................................21例11：聯立方程 ...................................................................................................22例12：財務計算（單利） ........................................................................................23例13：財務計算（分期償還） (24)4 附錄 (26)電源 ........................................................................................................................26輸入范圍 (28)操作注意事項 .................................................................................................30在連接計算機時的注意事項 (30)本手冊使用許多實例，闡述fx-9860GSD/fx-9860G的基本操作，從而幫助您更快捷地掌握此計算器的使用方法。

fx-9750GⅡ公路测量程序使用说明一、程序使用流程本程序数据和主程序是分开的，编程时将不同的工程数据存放到不同的数据文件里，如A匝道，文件名为A，将匝道A所有的曲线线元参数输入A文件里。

运行时只要运行文件名A的程序就可以了，具体运行流程见下图：二、数据文件的编写（一）交点法数据文件编辑交点法编写数据文件必须是对称型的，即直线段→缓和曲线段→圆曲线段→缓和曲线段→直线段，（如果任意一端没有直线段，则把直线段长度看做是0），另外圆曲线两侧缓和曲线的旋转常数必须相等，并且和直线段连接处的半径必须是无穷大。

交点法数据文件编写一般是根据设计图纸提供的平面曲线参数一览表提供的参数来编写，每个弯道包括：弯道起点方位角（C），交点X坐标（D），交点Y坐标（E），缓和曲线长度（F，当没有设缓和曲线时，F=0），交点转交（G，向左转弯，G为负值，向右转弯，G取正值），交点桩号（H），弯道圆曲线半径（R）。

下图是一段市政道路设计参数数据。

根据上图提供的数据，可以编辑成如下的数据文件：文件名:CHLNR在上图中，有两个条件转移语句即If L>0：Then 98°39°35.12°→C:4774.384→D: 2415.861→E:140→F:31°17°23°→G:410.007→H:600→R:IfEndIf L>1060：Then 129°56°58.19°→C:4206.421→D: 3093.946→E:70→F:-33°50°48°→G:1285.437→H:600→R:IfEnd……如果还有其他弯道，可以继续完后加。

在这些存放设计参数的语句前后的程序表达式是固定的。

说明：编辑曲线参数时，每个曲线参数放在一个If L>***.***（两个弯道中间直线段上的任意桩号）:Then ***°**°**.**°→C（弯道起点方位角）：****.***→D（交点X坐标）：****.****→E（交点Y坐标）：***.***→F（缓和曲线长度：**°**°**°→G（转角，向左转为负值，向右转为正值）：***.***→H（交点里程桩号）:***→R（圆曲线半径）:IfEnd 条件式语句里，如果有多个弯道，一直按上述形式编下去，变量说明：1、L>***.***弯道参数的起点范围，可以是弯道起点，也可以是弯道前直线段里的任意点桩号2、***°**°**.**°→C 弯道起点方位角3、****.***→D、****.****→E交点X坐标、Y坐标4、***.***→F缓和曲线长度，如果没设置缓和曲线，则缓和曲线长度看做05、**°**°**°→G 转角，向左转为负值，向右转为正值6、***.***→H、交点里程桩号7、***→R 圆曲线半径注意，运行程序时，第一部是输入测站坐标X0，Y0，然后输入近似桩号，主要是为了加快收敛，输入时注意当根据桩号和距中距离计算所求点坐标时，请不要把小数点第四位输入0.0001，如K21+369.0921，请把桩号输入21369.092即可，相反，当根据坐标反算桩号和距中距离时，请在输入时把第四位小数数位0.0001，如K21+200，输入时请输入21200.0001。

整理编绎：林牧兴编绎日期：2013年4月13日星期六QQ：9725291 Email：croptree@ FX-9860GII SD 测量程序使用说明书2013.03.13 更新一、程序文件的安装：1.解压文件“Fx9860 Celang Addin.rar”。

2.打开CASIO FA-124 程序，将CL2012.g1a 插件和要素文件上传到计算器的内存中。

关于文件安装及同步的详细步就不讲了，不清楚的请百度一下。

3.打开计算器会发现多了一个项目。

4. 注册是为了收集反馈使用情况和插件的兼容性，方便下次修改。

5.注册是完全免费的。

6.从12.09版开始取消试用的功能。

7.主界面：按F1~F6选择功能。

F1：坐标正算放样功能F2：坐标反算功能F3：隧道断面测量功能F4：边坡放样功能F5：水准测量功能F6：坐标计算工具二．功能介绍：F1坐标正算：K=待求点的桩号D=待求点与中桩的偏距（左负右正）V=待求点与线路方位角的夹角，一般都是90度（斜交除外）。

Ht=结构物的厚度（正减负加）。

Rou：选择路线。

Set：设置参数。

K+：里程加上桩间距。

K-：里程减去桩间距。

K.D：切换显示结果样式按F1进入“选择数据库”（如右图）按上、下键移动选项，按EXE键选定文件，按F1查看平曲线要素；按F2查看竖曲线要素；按F3查看横坡/超高要素；按EXIT键重新选择文件。

整理编绎：林牧兴编绎日期：2013年4月13日星期六QQ：9725291 Email：croptree@ 按EXE 确认并返回（第一行显示打开的文件路径及要素数据文件名）参数设置：Mk=正算时为与下一个桩号的间距。

Mk=反算时为辅助桩号。

Pd=平坡距；即平曲线设计线到高程设计线的距离，一般是1米吧。

Hd=最大横坡距；就是超出这个范围的偏距不算横坡超高。

（不含平坡距的距离。

）设置好按F3或Exit确定并返回。

坐标显示结果：K=待求点的桩号X=待求点的X坐标Y=待求点的Y坐标Z=待求点的（中桩）设计高程F=待求点线路方位角HP=待求点横坡坡度BH=待求点（边桩）高程。

Casio 9860 Self-Guided Instructions – TVM ModeInstructions Screenshots Using TVM:TVM stands for 'Time, Value, Money'. TVM is the Financial Mode on the calculator. However, FinancialMathematics questions can also be performed in RUN, EQUA and SSHT modes.TVM is fantastic for investigating financial scenarios and is very easy to use when dealing with annuityinvestment and loan scenarios. However, it is important to realize TVM is essentially a 'black-box' …a number-in, number-out 'machine'. It is therefore mathematically wise to expose students to using at least RUNand EQUA in addition to TVM when dealing with financial mathematics over the full duration of a course. Thereare excellent PD resources at .au/services/tuition/fx9860/fx9860_tuition.php which includeeasy-to-follow worksheets, instructions, and videos on financial mathematics which deal with RUN, EQUA andSPREADSHEET Modes.Below are instructions that will get you started with TVM. There are different sets of protocols by which TVM canbe used. The protocol outlined below is very easy to follow.Press MENU, scroll to TVM, EXE, then press F2 for Compound Interest (Fig1)Note that numbers will appear on this screen from previous calculations. Pay no attention to these numbers. Fig1The TVM protocols to be used are:n = number of time intervals (could be 8 years or 32 quarters or 96 months)I% = the per annum interest rate, as a percentage eg 11.5% is entered as 11.5 (not 0.115) PV = Present ValuePMT = Payment, per time periodFV = Future ValueP/Y = It is best to consider both P/Y and C/Y as the number of compounding periods per year; ie both values will always be identical. (P/Y is meant to stand for 'payments/year' but this does not make sense for this protocol)C/Y =Same as P/YEg.If the investment (or loan) is compounding annually (once per year), then P/Y=C/Y=1.If the investment (or loan) is compounding quarterly (4 times per year), then P/Y=C/Y=4.If the investment (or loan) is compounding monthly (12 times per year), then P/Y=C/Y=12. NOTE: The dollar values (PV, PMT and FV) need to be entered either as positives or negatives, depending on the situation. This seems confusing at first, but is actually very simple. Consider each situation to be money either LEAVING your pocket OR RETURNING to your pocket.•If money is LEAVING your pocket, the number is entered as a negative.•If money is returning to you, the number is entered as a positive.Therefore:•receiving a loan of $5000: PV = 5000• a regular payment from you of $260: PMT = -260•investing $50 000: PV = -50 000•an investment that will be worth $100 000 in 10 years time: FV = 100 000Below are two examples that involve a once-only investment that receives compound interest.Example 1:A sum of $2 000 is invested at 8%pa interest, compounded monthly, for 20 years. What is the future value of this investment?Enter the values as they appear in the question, pressing EXE after each entry. Leave FV as the pre-existing value. Check your entries with Fig2NOTES:n=20x12; is the number of months. A good habit for students to enter n as (eg 20x12) so as to minimize careless error. I%=8; in TVM, the interest is always paPV is negative because $2000 'left' your pocket PMT=0; there were no regular paymentsFV CAN BE ANYTHING! It is what we want to know so it makes no difference what number is showing here. P/Y and C/Y = 12; the interest compounds 12 times every year. P/Y and C/Y are always equal.Now press F5 for FV (Future Value). See Fig3.The answer can be read in the previous screen by pressing EXIT (Fig4)Note that FV is positive, not negative, because after 20 years the investment goes 'back into your pocket'. The investment has grown from $2000 to $9853.61Example 2:What annual interest rate will be required for an investment of $12 000 to become $18 000 in 5 years , if the interest compounds annually ?Enter the values as they appear in the question, pressing EXE after each entry. Check your entries with Fig5.NOTES: n=5 (years)I%=ANYTHING; It is what we want to know so it makes no difference what number is entered here. PV is negative because $12000 'left' your pocket. PMT=0; there were no regular paymentsFV is positive because $18000 will 'return' to your pocket in the future.P/Y and C/Y = 1; the interest compounds once a year. P/Y and C/Y are always equal. Now press F2 for the interest rate (Fig6)Fig3Fig4Fig5Fig6Press EXIT to view solution in previous screen. (Fig7)Below is an example that involves repeated investments (an annuity) that receives compound interest.Example 1a):A sum of $2 000 is invested at the end of every year, at 8%pa interest, compounded yearly, for 20 years. What is the future value of this investment?Enter the values as they appear in the question, pressing EXE after each entry . Check your entries with Fig8.NOTES:n=20 (years)I%=8; in TVM, the interest is always pa. PV=0; the annuity started with nothingPMT is negative; each payment 'leaves' your pocket.FV CAN BE ANYTHING! It is what we want to know so it makes no difference what number is showing here. P/Y and C/Y = 1; the interest compounds once a year. P/Y and C/Y are always equal.Now press F5 for FV (Fig9)Press EXIT (Fig10)Note that FV is positive, not negative, because after 20 years the investment goes back into your pocket. The investment was $2000 x 20, which is $40 000(The investment has grown from $40 000 to $91 523.93) (to the nearest cent) Example 1b:What is the present value of the annuity in example 1a?ORWhat single investment (earning the same rate of compound interest for 20 years) would give the same future value as the repeated investments in example 1a?Enter the values as they appear in the question, pressing EXE after each entry. Check your entries with Fig11.Fig8Fig9Fig10Fig11NOTES:All that needs to change from the Q1a) entries is PMT to be changed to zero! The FV for 1b) is the same FV as in 1a).Now press F3 for PV (Present Value). See Fig12.Press EXIT to view in original screen (Fig13)Note that PV is negative, not positive, because the money is leaving your pocket to make the single investment.A single investment of $19 636.29 NOW will produce the same result in 20 years."Don't students get confused when being taught TVM because values have to entered differently to the formulae?" This is a question often asked by teachers learning TVM. The main difference of course, is that interest rates need to be entered as whole-pa-percentages into TVM but as per-time-period-decimals in the formulae. From experience, whenteaching TVM protocols, if the formulae protocols are referred to simultaneously students understand quickly and with little confusion. Over the long term these differences prove to be a very minor disadvantage when compared to the ease and versatility of using TVM.TVM Graded Question Series:The 'Financial_Maths_TVM_Sheets 1-3' are an excellent, graded worksheet series with solutions designed for students to gain practice in using TVM.For further and more advanced information including practice questions refer to the manual 'Mathematics with a Graphics Calculator – Casio fx-9860 AU' by Barry Kissane & Marian Kemp, available at .au/downloads/books/fx9860/orderBarryBook.pdfFig13。