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FANUC数控宏程序编程案例手册 第2版 读者对象:数控技术人员及数控技术应用专业学生。 ![]()
本手册采用实例形式,针对数控加工中的常见型面,叙述了宏程序基本概念、
数学基础和宏程序编制方法,介绍了实际生产中*常见的简单型面、非圆型面、螺 纹、孔系、倒角等数控加工宏程序编制的详细过程。 本手册注重概念阐述和应用实例相结合、数控车和数控铣实例相结合、工艺路 线和编程思路相结合、逻辑算法和刀路规划相结合、操作步骤和内容提示相结合、 单型面编程和综合编程实例相结合,循序渐进,由浅入深,通过大量实例引导初学 者逐步提高数控加工宏程序的编制技能和水平。 手册中的所有实例均通过FANUC 数控系统进行仿真和实际上机运行。 本手册可以作为数控技术进阶培训、数控编程操作用书和自学教材,也可作为 高等学校、高职高专等院校数控技术课程教学的辅导教材。
前言
第1 章 用户宏程序功能A .......................................................... 1 1.1 常量与变量 ....................................................................................1 1.1.1 常量的概述 ..............................................................................1 1.1.2 变量的概述 ..............................................................................2 1.1.3 常量与变量的区别 ..................................................................4 1.2 变量的数学运算与逻辑运算 ........................................................5 1.2.1 变量的数学运算 ......................................................................5 1.2.2 变量加减运算特例:变量自加与自减运算 ..........................6 1.2.3 变量的逻辑运算 ......................................................................8 1.3 用户宏程序功能A 的控制流向语句 ...........................................9 1.4 用户宏程序功能A 的简单应用 .................................................11 1.4.1 零件图以及加工内容 ............................................................11 1.4.2 分析零件图样 ........................................................................11 1.4.3 分析加工工艺 ........................................................................12 1.4.4 选择变量方法 ........................................................................12 1.4.5 选择程序算法 ........................................................................13 1.4.6 绘制刀路轨迹 ........................................................................13 1.4.7 绘制程序框图 ........................................................................14 1.4.8 编写宏程序代码 ....................................................................14 1.4.9 本节小结 ................................................................................15 本章小结 ...............................................................................................15 第2 章 用户宏程序功能B ........................................................ 16 2.1 变量与常量 ..................................................................................16 2.1.1 变量的概述 ............................................................................16 2.1.2 变量的赋值 ............................................................................17 2.1.3 A 赋值与B 赋值的区别 .......................................................18 2.1.4 常量 ........................................................................................18 2.2 逻辑变量与辅助变量 ..................................................................18 2.2.1 逻辑变量 ................................................................................18 2.2.2 辅助变量 ................................................................................20 2.3 变量的数学运算与逻辑运算 ......................................................22 2.3.1 数学运算与逻辑运算概述 ....................................................22 2.3.2 变量的数学运算 ....................................................................24 2.3.3 变量的逻辑运算 ....................................................................25 2.3.4 运算特例 ................................................................................26 2.4 控制流向语句 ..............................................................................26 2.4.1 语句的分类 ............................................................................26 2.4.2 运算符的描述 ........................................................................30 2.5 条件转移语句(IF)与循环语句(WHILE)的区别与联系 .......31 2.5.1 条件转移语句的嵌套功能 ....................................................31 2.5.2 循环语句的嵌套功能 ............................................................32 2.5.3 循环语句与条件转移语句的组合 ........................................34 2.6 IF [ 条件表达式] THEN 语句 ....................................................35 2.6.1 语句概述 ................................................................................35 2.6.2 语句应用实例 ........................................................................35 2.7 宏程序的调用与调用取消 ..........................................................37 2.7.1 宏程序调用(G66) .............................................................37 2.7.2 宏程序调用(G65) .............................................................39 2.8 用户宏程序功能B 入门实例 .....................................................43 2.9 宏程序编程基础 ..........................................................................44 2.9.1 宏程序编程步骤 ....................................................................44 2.9.2 变量设置常见方法 ................................................................45 本章小结 ...............................................................................................48 第3 章 宏程序和数学基础 ........................................................ 49 3.1 宏程序与数学模型 ......................................................................49 3.1.1 单一型面零件与数学模型 ....................................................49 3.1.2 复合型面零件与数学模型 ....................................................51 3.2 宏程序与一次函数 ......................................................................52 3.2.1 一次函数概述 ........................................................................52 3.2.2 一次函数应用实例 ................................................................53 3.3 宏程序与二次函数 ......................................................................55 3.3.1 二次函数概述 ........................................................................55 3.3.2 二次函数偏移量 ....................................................................55 3.4 宏程序与极坐标系 ......................................................................56 3.4.1 极坐标系概述 ........................................................................56 3.4.2 极坐标系应用实例 ................................................................58 3.5 宏程序与旋转坐标系 ..................................................................59 3.5.1 旋转坐标系概述 ....................................................................59 3.5.2 旋转坐标系与矩阵 ................................................................60 3.5.3 旋转坐标系应用实例 ............................................................60 3.6 宏程序与拟合法 ..........................................................................62 3.6.1 线性拟合法概述 ....................................................................62 3.6.2 线性拟合法编程原理 ............................................................63 3.6.3 线性拟合法应用实例 ............................................................63 3.7 宏程序编程“动”与“静” ......................................................64 3.7.1 宏程序编程“动”概述 ........................................................64 3.7.2 宏程序编程“静”概述 ........................................................66 本章小结 ...............................................................................................67 第4 章 宏程序在车削常见型面中的应用 ................................ 68 4.1 粗车端面宏程序应用 ..................................................................68 4.1.1 零件图以及加工内容 ...........................................................68 4.1.2 分析零件图样 ........................................................................69 4.1.3 分析加工工艺 ........................................................................69 4.1.4 选择变量方法 ........................................................................69 4.1.5 选择程序算法 ........................................................................70 4.1.6 绘制刀路轨迹 ........................................................................71 4.1.7 绘制程序框图 ........................................................................71 4.1.8 编制程序代码 ........................................................................72 4.1.9 编程总结 ................................................................................72 4.2 车削单外圆宏程序应用 ..............................................................73 4.2.1 零件图以及加工内容 ............................................................73 4.2.2 分析零件图样 ........................................................................73 4.2.3 分析加工工艺 ........................................................................74 4.2.4 选择变量方法 ........................................................................74 4.2.5 选择程序算法 ........................................................................75 4.2.6 绘制刀路轨迹 ........................................................................75 4.2.7 绘制程序框图 ........................................................................76 4.2.8 编制程序代码 ........................................................................76 4.2.9 编程总结 ................................................................................77 4.3 大直径外圆切断宏程序应用 ......................................................78 4.3.1 零件图以及加工内容 ............................................................78 4.3.2 分析零件图样 ........................................................................78 4.3.3 分析加工工艺 ........................................................................79 4.3.4 选择变量方式 ........................................................................79 4.3.5 选择程序算法 ........................................................................80 4.3.6 绘制刀路轨迹 ........................................................................80 4.3.7 绘制流程框图 ........................................................................82 4.3.8 编制程序代码 ........................................................................82 4.3.9 编程总结 ................................................................................83 4.4 车削外圆锥面宏程序应用 ..........................................................83 4.4.1 锥度宏程序编程概述 ............................................................83 4.4.2 零件图和加工内容 ................................................................85 4.4.3 分析零件图样 ........................................................................86 4.4.4 分析加工工艺 ........................................................................86 4.4.5 选择变量方法 ........................................................................87 4.4.6 选择程序算法 ........................................................................87 4.4.7 绘制刀路轨迹 ........................................................................88 4.4.8 绘制程序框图 ........................................................................88 4.4.9 编制程序代码 ........................................................................90 4.5 车削1/4 凸圆弧宏程序应用.......................................................92 4.5.1 零件图以及加工内容 ............................................................92 4.5.2 分析零件图样 ........................................................................92 4.5.3 分析加工工艺 ........................................................................93 4.5.4 选择变量方法 ........................................................................93 4.5.5 选择程序算法 ........................................................................94 4.5.6 绘制刀路轨迹 ........................................................................94 4.5.7 绘制程序框图 ........................................................................96 4.5.8 编制程序代码 ........................................................................97 本章小结 .............................................................................................100 第5 章 宏程序编程在车削非圆型面中的应用 ...................... 101 5.1 方程型面宏程序编程概述 ........................................................101 5.1.1 方程型面定义 ......................................................................101 5.1.2 方程型面应用场合 ..............................................................101 5.1.3 方程型面加工方法 ..............................................................102 5.1.4 方程型面及其编程延伸 ......................................................103 5.2 车削1/4 右椭圆宏程序应用.....................................................103 5.2.1 零件图以及加工内容 ..........................................................103 5.2.2 分析零件图样 ......................................................................104 5.2.3 分析加工工艺 ......................................................................104 5.2.4 选择变量方法 ......................................................................105 5.2.5 选择程序算法 ......................................................................105 5.2.6 绘制刀路轨迹 ......................................................................106 5.2.7 绘制流程框图 ......................................................................106 5.2.8 编制程序代码 ......................................................................108 5.3 车削1/4 左椭圆宏程序应用..................................................... 111 5.3.1 零件图以及加工内容 .......................................................... 111 5.3.2 分析零件图样 ...................................................................... 111 5.3.3 分析加工工艺 ...................................................................... 111 5.3.4 选择变量方法 ......................................................................112 5.3.5 选择程序算法 ......................................................................112 5.3.6 绘制刀路轨迹 ......................................................................112 5.3.7 绘制流程框图 ......................................................................113 5.3.8 编制程序代码 ......................................................................113 5.4 车削1/2 凹椭圆宏程序应用.....................................................114 5.4.1 零件图以及加工内容 ..........................................................114 5.4.2 分析零件图样 ......................................................................114 5.4.3 分析加工工艺 ......................................................................115 5.4.4 选择变量方法 ......................................................................115 5.4.5 选择程序算法 ......................................................................116 5.4.6 绘制刀路轨迹 ......................................................................116 5.4.7 绘制流程框图 ......................................................................116 5.4.8 编制程序代码 ......................................................................117 5.5 车削大于1/4 椭圆宏程序应用.................................................118 5.5.1 零件图以及加工内容 ..........................................................118 5.5.2 分析零件图样 ......................................................................119 5.5.3 分析加工工艺 ......................................................................119 5.5.4 选择变量方法 ......................................................................120 5.5.5 选择程序算法 ......................................................................120 5.5.6 绘制刀路轨迹 ......................................................................120 5.5.7 编制程序代码 ......................................................................121 本章小结 .............................................................................................126 第6 章 宏程序在车削螺纹中的应用 ...................................... 127 6.1 螺纹加工概述 ............................................................................127 6.1.1 螺纹加工常见循环指令和特点 ..........................................127 6.1.2 螺纹加工进给路径方式 ......................................................128 6.2 车削单线螺纹宏程序应用 ........................................................129 6.2.1 零件图以及加工内容 ..........................................................129 6.2.2 分析零件图样 ......................................................................129 6.2.3 分析加工工艺 ......................................................................129 6.2.4 选择变量方法 ......................................................................130 6.2.5 选择程序算法 ......................................................................130 6.2.6 绘制刀路轨迹 ......................................................................130 6.2.7 绘制程序框图 ......................................................................131 6.2.8 编写程序代码 ......................................................................132 6.2.9 编程总结 ..............................................................................132 6.3 车削双线螺纹宏程序应用 ........................................................133 6.3.1 零件图以及加工内容 ..........................................................133 6.3.2 分析零件图样 ......................................................................133 6.3.3 分析加工工艺 ......................................................................133 6.3.4 选择变量方法 ......................................................................134 6.3.5 选择程序算法 ......................................................................135 6.3.6 绘制刀路轨迹 ......................................................................135 6.3.7 绘制程序框图 ......................................................................136 6.3.8 编写程序代码 ......................................................................137 6.3.9 编程总结 ..............................................................................138 6.4 车削大螺距螺纹宏程序应用 ....................................................139 6.4.1 零件图和加工内容 ..............................................................139 6.4.2 分析零件图样 ......................................................................139 6.4.3 分析加工工艺 ......................................................................139 6.4.4 选择变量方式 ......................................................................140 6.4.5 选择程序算法 ......................................................................140 6.4.6 绘制刀路轨迹 ......................................................................141 6.4.7 绘制程序框图 ......................................................................141 6.4.8 编制程序代码 ......................................................................142 6.4.9 编程总结 ..............................................................................145 6.5 车削外圆梯形螺纹宏程序应用 ................................................145 6.5.1 零件图以及加工内容 ..........................................................145 6.5.2 零件图样的分析 ..................................................................145 6.5.3 分析加工工艺 ......................................................................146 6.5.4 选择变量方法 ......................................................................146 6.5.5 选择程序算法 ......................................................................146 6.5.6 绘制刀路轨迹 ......................................................................147 6.5.7 绘制程序框图 ......................................................................148 6.5.8 编制程序代码 ......................................................................148 6.6 车削圆弧牙型螺纹宏程序应用 ................................................153 6.6.1 零件图以及加工内容 ..........................................................153 6.6.2 分析零件图样 ......................................................................153 6.6.3 分析加工工艺 ......................................................................154 6.6.4 选择变量方法 ......................................................................154 6.6.5 选择程序算法 ......................................................................154 6.6.6 绘制刀路轨迹 ......................................................................155 6.6.7 绘制流程框图 ......................................................................155 6.6.8 编制程序代码 ......................................................................156 6.6.9 编程总结 ..............................................................................157 6.7 车削等槽宽变距螺纹宏程序应用 ............................................157 6.7.1 零件图以及加工内容 ..........................................................157 6.7.2 分析零件图样 ......................................................................158 6.7.3 分析加工工艺 ......................................................................158 6.7.4 选择变量方法 ......................................................................158 6.7.5 选择程序算法 ......................................................................159 6.7.6 绘制刀路轨迹 ......................................................................159 6.7.7 绘制流程框图 ......................................................................160 6.7.8 编制程序代码 ......................................................................160 6.7.9 编程总结 ..............................................................................161 6.8 车削异形螺纹宏程序应用 ........................................................162 6.8.1 零件图以及加工内容 ..........................................................162 6.8.2 零件图样的分析 ..................................................................162 6.8.3 分析加工工艺 ......................................................................163 6.8.4 选择变量方法 ......................................................................164 6.8.5 选择程序算法 ......................................................................164 6.8.6 绘制刀路轨迹 ......................................................................164 6.8.7 绘制流程框图 ......................................................................165 6.8.8 编制宏程序代码 ..................................................................166 6.8.9 编程总结 ..............................................................................167 6.9 车削异形螺纹宏程序总结 ........................................................168 6.9.1 异形螺纹类型 ......................................................................168 6.9.2 异形螺纹加工编程常见方法 ..............................................168 6.9.3 加工异形螺纹宏程序编程思路 ..........................................169 本章小结 .............................................................................................170 第7 章 宏程序在孔加工中的应用 .......................................... 171 7.1 宏程序在直线排孔中的应用 ....................................................171 7.1.1 零件图以及加工内容 ..........................................................171 7.1.2 分析零件图样 ......................................................................171 7.1.3 分析加工工艺 ......................................................................172 7.1.4 选择变量方法 ......................................................................172 7.1.5 选择程序算法 ......................................................................173 7.1.6 绘制加工轨迹 ......................................................................173 7.1.7 绘制程序框图 ......................................................................174 7.1.8 编写程序代码 ......................................................................174 7.1.9 编程总结 ..............................................................................180 7.2 宏程序在圆周均布孔系中的应用 ............................................180 7.2.1 零件图以及加工内容 ..........................................................180 7.2.2 分析零件图样 .....................................................................180 7.2.3 分析加工工艺 ......................................................................181 7.2.4 选择变量方法 ......................................................................181 7.2.5 选择程序算法 ......................................................................181 7.2.6 绘制加工轨迹 .....................................................................182 7.2.7 绘制程序框图 ......................................................................183 7.2.8 编写程序代码 ......................................................................184 7.2.9 编程总结 ..............................................................................186 7.3 宏程序在矩阵孔系中的应用 ....................................................187 7.3.1 零件图以及加工内容 ..........................................................187 7.3.2 分析零件图样 ......................................................................187 7.3.3 分析加工工艺 ......................................................................188 7.3.4 选择变量方法 ......................................................................188 7.3.5 选择程序算法 ......................................................................188 7.3.6 绘制加工轨迹 .....................................................................189 7.3.7 绘制程序框图 ......................................................................190 7.3.8 编写程序代码 ......................................................................191 7.3.9 编程总结 ..............................................................................193 本章小结 .............................................................................................193 第8 章 宏程序在铣削常见型面中的应用 .............................. 194 8.1 宏程序在矩形平面加工中的应用 ............................................194 8.1.1 零件图以及加工内容 ..........................................................194 8.1.2 分析零件图样 ......................................................................195 8.1.3 分析加工工艺 ......................................................................195 8.1.4 选择变量方法 ......................................................................195 8.1.5 选择程序算法 ......................................................................195 8.1.6 绘制加工轨迹 .....................................................................196 8.1.7 绘制程序框图 ......................................................................196 8.1.8 编制加工程序 ......................................................................196 8.1.9 编程总结 ..............................................................................199 8.2 宏程序在圆柱形台阶铣削加工中的应用 ................................199 8.2.1 零件图以及加工内容 ..........................................................199 8.2.2 分析零件图样 ......................................................................199 8.2.3 分析加工工艺 ......................................................................200 8.2.4 选择变量方法 ......................................................................200 8.2.5 选择程序算法 ......................................................................200 8.2.6 绘制加工轨迹 ......................................................................201 8.2.7 绘制程序框图 ......................................................................201 8.2.8 编制程序代码 ......................................................................202 8.2.9 编程总结 ..............................................................................203 8.3 宏程序在矩形型腔加工中的应用 ............................................205 8.3.1 零件图以及加工内容 ..........................................................205 8.3.2 分析零件图样 ......................................................................206 8.3.3 分析加工工艺 ......................................................................206 8.3.4 选择变量方法 ......................................................................206 8.3.5 选择程序算法 ......................................................................207 8.3.6 绘制加工轨迹 .....................................................................207 8.3.7 绘制程序框图 ......................................................................208 8.3.8 编制程序代码 ......................................................................209 8.3.9 编程总结 ..............................................................................211 8.4 宏程序在矩形斜面型腔加工中的应用 ....................................212 8.4.1 零件图以及加工内容 ..........................................................212 8.4.2 分析零件图样 ......................................................................212 8.4.3 分析加工工艺 ......................................................................213 8.4.4 选择变量方法 ......................................................................213 8.4.5 选择程序算法 ......................................................................213 8.4.6 绘制加工轨迹 .....................................................................214 8.4.7 绘制程序框图 ......................................................................214 8.4.8 编制程序代码 ......................................................................215 8.4.9 编程总结 ..............................................................................216 8.5 宏程序在铣削内螺纹中的应用 ................................................217 8.5.1 零件图以及加工内容 ..........................................................217 8.5.2 分析零件图样 ......................................................................217 8.5.3 分析加工工艺 ......................................................................218 8.5.4 选择变量方法 ......................................................................218 8.5.5 选择程序算法 ......................................................................218 8.5.6 绘制加工轨迹 .....................................................................218 8.5.7 绘制程序框图 ......................................................................219 8.5.8 编制程序代码 ......................................................................219 8.5.9 编程总结 ..............................................................................221 本章小结 .............................................................................................221 第9 章 宏程序在铣削斜面、R 面加工中的应用 .................. 222 9.1 宏程序在圆形45°斜面加工中的应用 ...................................222 9.1.1 零件图以及加工内容 ..........................................................222 9.1.2 分析零件图样 ......................................................................222 9.1.3 分析加工工艺 ......................................................................223 9.1.4 选择变量方法 ......................................................................223 9.1.5 选择程序算法 ......................................................................224 9.1.6 绘制加工轨迹 ......................................................................225 9.1.7 绘制程序框图 ......................................................................225 9.1.8 编制程序代码 ......................................................................226 9.1.9 编程总结 ..............................................................................228 9.2 宏程序在圆形R 角加工中的应用 ...........................................228 9.2.1 零件图以及加工内容 ..........................................................228 9.2.2 分析零件图样 ......................................................................229 9.2.3 分析加工工艺 ......................................................................229 9.2.4 选择变量方法 ......................................................................229 9.2.5 选择程序算法 ......................................................................230 9.2.6 绘制加工轨迹 ......................................................................230 9.2.7 绘制程序框图 ......................................................................231 9.2.8 编制程序代码 ......................................................................232 9.2.9 编程总结 ..............................................................................233 9.3 宏程序在椭圆形45°斜角加工中的应用 ...............................234 9.3.1 零件图以及加工内容 ..........................................................234 9.3.2 分析零件图样 ......................................................................234 9.3.3 分析加工工艺 ......................................................................235 9.3.4 选择变量方法 ......................................................................235 9.3.5 选择程序算法 ......................................................................236 9.3.6 绘制加工轨迹 ......................................................................237 9.3.7 绘制程序框图 ......................................................................237 9.3.8 编制程序代码 ......................................................................238 9.3.9 编程总结 ..............................................................................239 9.4 宏程序铣削斜面和R 面总结 ...................................................240 9.4.1 铣削任意角度斜面的数学模型 ..........................................240 9.4.2 铣削任意大小R 角的数学模型 .........................................240 9.4.3 宏程序铣削斜面、R 面编程思路 ......................................241 9.4.4 宏程序铣削斜面、R 面编程步骤 ......................................241 本章小结 .............................................................................................241 第10 章 宏程序编程之动态应用 ............................................ 242 10.1 编程指令G10 在数控编程中的应用 .....................................242 10.1.1 FANUC 系统G10 指令概述 ............................................242 10.1.2 FANUC 系统G10 指令格式 ............................................243 10.1.3 FANUC 系统G10 在数控编程中的应用 ........................244 10.1.4 FANUC 系统G10 实例应用 ............................................246 10.1.5 本节小结 ............................................................................250 10.2 FANUC 系统变量在数控编程中的应用 ...............................250 10.2.1 FANUC 系统变量概述 .....................................................250 10.2.2 FANUC 系统变量在数控编程中的应用 .........................252 10.3 FANUC 系统变量在工件坐标系中的应用 ...........................253 10.3.1 FANUC 系统变量在工件坐标系中的应用实例 .............253 10.3.2 编程总结 ............................................................................254 10.4 FANUC 系统变量在刀具长度补偿中的应用 .......................254 10.4.1 FANUC 系统变量在刀具长度补偿中的应用实例 .........254 10.4.2 编程总结 ............................................................................256 10.5 FANUC 系统变量在刀具半径补偿中的应用 .......................256 10.5.1 FANUC 系统变量在刀具半径补偿中的应用实例 .........256 10.5.2 编程总结 ............................................................................257 10.6 雷尼绍OMP40-2 与FANUC 编程指令G31 在数控编程 中的应用 ..................................................................................257 10.6.1 雷尼绍触发式探头概述 ....................................................257 10.6.2 数控机床雷尼绍触发式探头工作原理 ............................258 10.6.3 FANUC 数控机床G31 指令 ............................................258 10.7 雷尼绍在卧式加工中心探测B 轴的应用 .............................259 10.7.1 问题描述 ............................................................................259 10.7.2 解决思路 ............................................................................259 10.7.3 编制雷尼绍自动探测程序 ................................................260 10.7.4 编程总结 ............................................................................260 10.8 雷尼绍自动探测长方体中心的应用 ......................................261 10.8.1 问题描述 ............................................................................261 10.8.2 解决思路 ............................................................................261 10.8.3 编制雷尼绍自动探测程序 ................................................262 10.8.4 编程总结 ............................................................................263 10.9 雷尼绍探测工件坐标系Z 轴坐标值 .....................................263 10.9.1 问题描述 ............................................................................263 10.9.2 解决思路 ............................................................................264 10.9.3 编制雷尼绍自动探测程序 ................................................264 10.9.4 编程总结 ............................................................................265 10.10 雷尼绍在单边测量中的应用 ................................................265 10.10.1 问题描述 ..........................................................................265 10.10.2 解决思路 ..........................................................................265 10.10.3 编制雷尼绍自动探测程序 ..............................................266 10.10.4 编程总结 ..........................................................................267 10.11 雷尼绍在探测分度圆孔中心的应用 ....................................267 10.11.1 问题描述 ..........................................................................267 10.11.2 解决思路 ..........................................................................267 10.11.3 编制雷尼绍自动探测程序 ..............................................268 10.11.4 编程总结 ..........................................................................269 10.12 雷尼绍在探测不同加工区域的应用 ....................................269 10.12.1 问题描述 ..........................................................................269 10.12.2 解决思路 ..........................................................................270 10.12.3 编制雷尼绍自动探测程序 ..............................................270 10.12.4 编程总结 ..........................................................................272 10.13 雷尼绍自动探测报警程序的应用 ........................................272 10.13.1 雷尼绍自动探测误差 ......................................................272 10.13.2 雷尼绍自动探测误差解决方法 ......................................272 10.13.3 雷尼绍自动探测误差解决方法实例 ..............................272 10.13.4 编程总结 ..........................................................................274 本章小结 .............................................................................................274 参考文献....................................................................................... 275
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