iii584521 发表于 2006-5-26 16:59

[求助]求解数学建模的一道题!!!!!!!!

<p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">考察普通钟表上的分针与时针</span><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">,</font></span><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">解决下列的问题</span><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">: <p></p></font></span></p><p></p><p></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">⒈</span><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">12</font></span><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">小时内分针与时针共有多少次重合</span><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">?</font></span><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">列出每次成重合的具体时刻</span><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">; <p></p></font></span></p><p></p><p></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">⒉</span><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">12</font></span><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">小时内分针与时针共有多少次成直角</span><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">?</font></span><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">列出每次成直角的具体时刻</span><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">; <p></p></font></span></p><p></p><p></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">⒊</span><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">12</font></span><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">小时内分针与时针共有多少次成平角</span><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">?</font></span><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">列出每次成平角的具体时刻</span><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">; <p></p></font></span></p><p></p><p></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">⒋</span><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">12</font></span><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">小时内分针与时针共有多少次成</span><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">30</font></span><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">度角</span><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">?</font></span><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">列出每次成</span><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">30</font></span><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">度角的具体时刻</span><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">; <p></p></font></span></p><p></p><p></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">⒌</span><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">12</font></span><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">小时内分针与时针共有多少次成∝</span><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">(</font></span><span lang="EN-US" style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体;">0</span><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体;">≤∝≤<span lang="EN-US">180</span>°<span lang="EN-US">)</span>角<span lang="EN-US">?</span></span><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman"> </font></span><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">列出每次成</span><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体;">∝</span><span style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">角的具体时刻的表达式</span><span lang="EN-US" style="FONT-SIZE: 14pt;"><font face="Times New Roman">. <p></p></font></span></p><p></p><p></p><p>尤其是第⒌问.</p><p>我的信箱:iii584521@163.com&nbsp;&nbsp;&nbsp; 希望把答案发到我的信箱里去.</p><p>期待您的回复.</p><p>本人在这谢谢各位哥哥姐姐叔叔阿姨大爷大婶了!</p><p>&nbsp;</p>

yuyamap 发表于 2006-5-28 13:50

<p>我也想要啊,不介意的话也给我发吧</p><p>邮箱:loveyamap@163.com</p><p>非常感谢!!!!</p>

红尘戏子 发表于 2006-10-1 12:04

<p>设时间为 x点y分，x在0-11之间整数，y是0-59之间的整数</p><p>12点方向为起0度，顺时针增大<br/>分针角度为&nbsp; y*360/60=6y度<br/>时针角度为&nbsp; (x+y/60)*360/12=30x+y/2 度<br/>两式相减等于正负+-alpha,<br/>y*11/2-30x=+-alpha</p><p>x取遍0-11之间整数，可得相应y&nbsp; </p><p></p>

xiaoyu311 发表于 2006-10-3 11:46

我个人认为计算方程中应加入一个影响系数。这个影响系数用来解释机械自身扰动对计算的影响。如此一来计算将会更为贴近现实。系数的确定应建立在特定的试验的基础上。

maxperson 发表于 2006-12-19 15:41

这个算法不错！
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