[讨论]2007全国大学生数学建模竞赛试题
<p class="MsoPlainText" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><span lang="EN-US" style="FONT-SIZE: 16pt; FONT-FAMILY: 黑体; mso-bidi-font-size: 10.0pt;">2007</span><span style="FONT-SIZE: 16pt; FONT-FAMILY: 黑体; mso-bidi-font-size: 10.0pt;">高教社杯全国大学生数学建模竞赛题目<span lang="EN-US"><p></p></span></span></p><p class="MsoPlainText" align="center" style="MARGIN: 0cm 0cm 0pt; LINE-HEIGHT: 16pt; TEXT-ALIGN: center; mso-line-height-rule: exactly;"><span style="FONT-SIZE: 14pt; FONT-FAMILY: 华文楷体;"><font face="宋体">（请先阅读<span lang="EN-US"> </span>“对论文格式的统一要求”）<span lang="EN-US"><p></p></span></font></span></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; LINE-HEIGHT: 12pt; TEXT-ALIGN: center; mso-layout-grid-align: none;"><line id="_x0000_s1026" strokeweight="4.5pt" to="414pt,7.4pt" from="0,6.8pt" style="Z-INDEX: 1; LEFT: 0px; POSITION: absolute; TEXT-ALIGN: left;"><stroke linestyle="thinThick"><font face="宋体"></font></stroke></line><b style="mso-bidi-font-weight: normal;"><span lang="EN-US" style="FONT-SIZE: 12pt;"><p><font face="Times New Roman"> </font></p></span></b></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; LINE-HEIGHT: 12pt; TEXT-ALIGN: center; mso-layout-grid-align: none;"><b style="mso-bidi-font-weight: normal;"><span lang="EN-US" style="FONT-SIZE: 12pt;"><p><font face="Times New Roman"> </font></p></span></b></p><p><br clear="all" style="mso-ignore: vglayout;"/> </p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><b style="mso-bidi-font-weight: normal;"><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">A</font></span></b><b style="mso-bidi-font-weight: normal;"><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">题：中国人口增长预测</span></b><b style="mso-bidi-font-weight: normal;"><span lang="EN-US" style="FONT-SIZE: 14pt;"><p></p></span></b></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><span lang="EN-US"><p><font face="Times New Roman"> </font></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; TEXT-INDENT: 24pt; LINE-HEIGHT: 150%; mso-char-indent-count: 2.0;"><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">中国是一个人口大国，人口问题始终是制约我国发展的关键因素之一。根据已有数据，运用数学建模的方法，对中国人口做出分析和预测是一个重要问题。</span><span lang="EN-US" style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%;"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; TEXT-INDENT: 24pt; LINE-HEIGHT: 150%; mso-char-indent-count: 2.0;"><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">近年来中国的人口发展出现了一些新的特点，例如，老龄化进程加速、出生人口性别比持续升高，以及乡村人口城镇化等因素，这些都影响着中国人口的增长。</span><span lang="EN-US" style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%;"><font face="Times New Roman">2007</font></span><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">年初发布的《国家人口发展战略研究报告》</span><span lang="EN-US" style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%;"><font face="Times New Roman">(</font></span><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">附录</span><span lang="EN-US" style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%;"><font face="Times New Roman">1) </font></span><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">还做出了进一步的分析。</span><span lang="EN-US" style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%;"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; TEXT-INDENT: 24pt; LINE-HEIGHT: 150%; mso-char-indent-count: 2.0;"><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">关于中国人口问题已有多方面的研究，并积累了大量数据资料。附录</span><span lang="EN-US" style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%;"><font face="Times New Roman">2</font></span><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">就是从《中国人口统计年鉴》上收集到的部分数据。</span><span lang="EN-US" style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%;"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; TEXT-INDENT: 24pt; LINE-HEIGHT: 150%; mso-char-indent-count: 2.0;"><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">试从中国的实际情况和人口增长的上述特点出发，参考附录</span><span lang="EN-US" style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%;"><font face="Times New Roman">2</font></span><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">中的相关数据（也可以搜索相关文献和补充新的数据），建立中国人口增长的数学模型，并由此对中国人口增长的中短期和长期趋势做出预测；特别要指出你们模型中的优点与不足之处。</span><span lang="EN-US" style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%;"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; TEXT-INDENT: 24pt; LINE-HEIGHT: 150%; mso-char-indent-count: 2.0;"><span lang="EN-US" style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%;"><p><font face="Times New Roman"> </font></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; TEXT-INDENT: 24pt; LINE-HEIGHT: 150%; mso-char-indent-count: 2.0;"><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">附录</span><span lang="EN-US" style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%;"><font face="Times New Roman">1 </font></span><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">《国家人口发展战略研究报告》</span><span lang="EN-US" style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%;"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; TEXT-INDENT: 24pt; LINE-HEIGHT: 150%; mso-char-indent-count: 2.0;"><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">附录</span><span lang="EN-US" style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%;"><font face="Times New Roman">2<span style="mso-spacerun: yes;"> </span></font></span><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">人口数据（《中国人口统计年鉴》中的部分数据）及其说明</span><span lang="EN-US" style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%;"><p></p></span></p><p class="MsoPlainText" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><span lang="EN-US" style="FONT-SIZE: 16pt; FONT-FAMILY: 黑体; mso-bidi-font-size: 10.0pt;">2007</span><span style="FONT-SIZE: 16pt; FONT-FAMILY: 黑体; mso-bidi-font-size: 10.0pt;">高教社杯全国大学生数学建模竞赛题目<span lang="EN-US"><p></p></span></span></p><p class="MsoPlainText" align="center" style="MARGIN: 0cm 0cm 0pt; LINE-HEIGHT: 16pt; TEXT-ALIGN: center; mso-line-height-rule: exactly;"><span style="FONT-SIZE: 14pt; FONT-FAMILY: 华文楷体;"><font face="宋体">（请先阅读<span lang="EN-US"> </span>“对论文格式的统一要求”）<span lang="EN-US"><p></p></span></font></span></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; LINE-HEIGHT: 12pt; TEXT-ALIGN: center; mso-layout-grid-align: none;"><line id="_x0000_s1026" strokeweight="4.5pt" to="414pt,7.4pt" from="0,6.8pt" style="Z-INDEX: 1; LEFT: 0px; POSITION: absolute; TEXT-ALIGN: left;"><stroke linestyle="thinThick"><font face="宋体"></font></stroke></line><b style="mso-bidi-font-weight: normal;"><span lang="EN-US" style="FONT-SIZE: 12pt; mso-bidi-font-size: 10.0pt;"><p><font face="Times New Roman"> </font></p></span></b></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; LINE-HEIGHT: 12pt; TEXT-ALIGN: center; mso-layout-grid-align: none;"><b style="mso-bidi-font-weight: normal;"><span lang="EN-US" style="FONT-SIZE: 12pt; mso-bidi-font-size: 10.0pt;"><p><font face="Times New Roman"> </font></p></span></b></p><p><br clear="all" style="mso-ignore: vglayout;"/> </p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><b style="mso-bidi-font-weight: normal;"><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">B</font></span></b><b style="mso-bidi-font-weight: normal;"><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">题：乘公交，看奥运</span></b><b style="mso-bidi-font-weight: normal;"><span lang="EN-US" style="FONT-SIZE: 14pt;"><p></p></span></b></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center;"><b style="mso-bidi-font-weight: normal;"><span lang="EN-US" style="FONT-SIZE: 12pt;"><p><font face="Times New Roman"> </font></p></span></b></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; mso-layout-grid-align: none;"><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman"><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span></font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">我国人民翘首企盼的第</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">29</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">届奥运会明年</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">8</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">月将在北京举行，届时有大量观众到现场观看奥运比赛，其中大部分人将会乘坐公共交通工具（简称公交，包括公汽、地铁等）出行。这些年来，城市的公交系统有了很大发展，北京市的公交线路已达</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">800</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">条以上，使得公众的出行更加通畅、便利，但同时也面临多条线路的选择问题。针对市场需求，某公司准备研制开发一个解决公交线路选择问题的自主查询计算机系统。</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; TEXT-INDENT: 24pt; mso-layout-grid-align: none; mso-char-indent-count: 2.0;"><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">为了设计这样一个系统，<span style="COLOR: black;">其核心是线路选择的模型与算法，</span>应该从实际情况出发考虑，满足查询者的各种不同需求。请你们解决如下问题：</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; mso-layout-grid-align: none;"><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">1</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">、仅考虑公汽线路，给出任意两公汽站点之间线路选择问题的一般数学模型与算法。并根据附录数据，利用你们的模型与算法，求出以下</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">6</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">对起始站→终到站之间的最佳路线（要有清晰的<span style="COLOR: black;">评价</span>说明）。</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; mso-layout-grid-align: none;"><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman"><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>(1)</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">、</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">S3359</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">→</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">S1828<span style="mso-spacerun: yes;"> </span>(2)</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">、</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">S1557</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">→</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">S0481<span style="mso-spacerun: yes;"> </span>(3)</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">、</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">S0971</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">→</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">S0485<p></p></font></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt 36pt; LAYOUT-GRID-MODE: char; mso-layout-grid-align: none;"><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">(4)</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">、</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">S0008</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">→</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">S0073<span style="mso-spacerun: yes;"> </span>(5)</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">、</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">S0148</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">→</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">S0485<span style="mso-spacerun: yes;"> </span>(6)</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">、</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">S0087→S3676<p></p></font></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; mso-layout-grid-align: none;"><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">2</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">、同时考虑公汽与地铁线路，解决以上问题。</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; mso-layout-grid-align: none;"><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">3</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">、假设又知道所有站点之间的步行时间，请你给出任意两站点之间线路选择问题的数学模型。</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; mso-layout-grid-align: none;"><span lang="EN-US" style="FONT-SIZE: 12pt;"><p><font face="Times New Roman"> </font></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; mso-layout-grid-align: none;"><span style="FONT-SIZE: 12pt; COLOR: black; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">【附录</span><span lang="EN-US" style="FONT-SIZE: 12pt; COLOR: black;"><font face="Times New Roman">1</font></span><span style="FONT-SIZE: 12pt; COLOR: black; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">】</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">基本参数设定</span><span lang="EN-US" style="FONT-SIZE: 12pt; COLOR: black;"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; mso-layout-grid-align: none;"><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">相邻公汽站平均行驶时间</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">(</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">包括停站时间</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">)</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">：</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman"> 3</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">分钟</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; mso-layout-grid-align: none;"><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">相邻地铁站平均行驶时间</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">(</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">包括停站时间</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">)</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">：</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman"> 2.5</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">分钟</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; mso-layout-grid-align: none;"><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">公汽换乘公汽平均耗时：</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman"><span style="mso-spacerun: yes;"> </span>5</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">分钟</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">(</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">其中步行时间</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">2</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">分钟</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">)<p></p></font></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; mso-layout-grid-align: none;"><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">地铁换乘地铁平均耗时：</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman"><span style="mso-spacerun: yes;"> </span>4</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">分钟</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">(</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">其中步行时间</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">2</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">分钟</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">)<p></p></font></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; mso-layout-grid-align: none;"><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">地铁换乘公汽平均耗时：</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman"><span style="mso-spacerun: yes;"> </span>7</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">分钟</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">(</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">其中步行时间</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">4</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">分钟</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">)<p></p></font></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; mso-layout-grid-align: none;"><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">公汽换乘地铁平均耗时：</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman"><span style="mso-spacerun: yes;"> </span>6</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">分钟</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">(</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">其中步行时间</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">4</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">分钟</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">)<p></p></font></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt 54pt; LAYOUT-GRID-MODE: char; TEXT-INDENT: -54pt; mso-layout-grid-align: none; mso-char-indent-count: -4.5;"><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">公汽票价：分为单一票价与分段计价两种，标记于线路后；其中分段计价的票价为：</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">0</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">～</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">20</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">站：</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">1</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">元；</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">21</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">～</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">40</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">站：</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">2</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">元；</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">40</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">站以上：</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">3</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">元</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; mso-layout-grid-align: none;"><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">地铁票价：</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><font face="Times New Roman">3</font></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">元（无论地铁线路间是否换乘）</span><span lang="EN-US" style="FONT-SIZE: 12pt;"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; mso-layout-grid-align: none;"><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">注：以上参数均为简化问题而作的假设，未必与实际数据完全吻合</span><span style="FONT-SIZE: 15pt; FONT-FAMILY: 宋体; mso-bidi-font-size: 10.0pt; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">。</span><span lang="EN-US" style="FONT-SIZE: 15pt; mso-bidi-font-size: 10.0pt;"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; mso-layout-grid-align: none;"><span lang="EN-US" style="FONT-SIZE: 12pt; COLOR: black;"><p><font face="Times New Roman"> </font></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; LAYOUT-GRID-MODE: char; mso-layout-grid-align: none;"><span style="FONT-SIZE: 12pt; COLOR: black; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">【附录</span><span lang="EN-US" style="FONT-SIZE: 12pt; COLOR: black;"><font face="Times New Roman">2</font></span><span style="FONT-SIZE: 12pt; COLOR: black; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">】公交线路及相关信息</span><span style="FONT-SIZE: 12pt; COLOR: black;"><font face="Times New Roman"></font></span><span style="FONT-SIZE: 12pt; COLOR: black; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">（见数据文件</span><span lang="EN-US" style="FONT-SIZE: 12pt; COLOR: black;"><font face="Times New Roman">B2007data.rar</font></span><span style="FONT-SIZE: 12pt; COLOR: black; FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman';">）</span><span lang="EN-US" style="FONT-SIZE: 12pt; COLOR: black;"><p></p></span></p><p> </p><br/><br/> dagadfadfas 真的好难啊，看不懂 真的好难啊，看不懂 1111111111111111111111111111111111111111111111111111111 原题啊，不错 好东西，研究一下！！！
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