[原创]趣味垂心
<p><font face="仿宋_GB2312" size="7">H是已知园内一定点<br/>请问如何作出园内接△ABC<br/>使其垂心在H点，并且∠A=60°</font></p><p></p> 本帖最后由 作者 于 2008-9-18 10:11:09 编辑 <br /><br /> <p>:)</p><p>同样的 此题的原理 Andyhon兄在此贴中提过</p><p><a href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=63131"><font color="#000000">http://bbs.mjtd.com/forum.php?mod=viewthread&tid=63131</font></a></p><p> </p> <p></p><p><font face="仿宋_GB2312" color="#445cbb" size="7">qjchen厉害！</font></p><p><font face="仿宋_GB2312" color="#445cbb" size="7">本帖由下题改编：</font></p><p></p> <p><font face="仿宋_GB2312" size="6">作法：<br/>①OH的垂直平分线交园周于D<br/>②以D为心作园弧经过H、O 交园周于B、C <br/>③过H作BC的垂线交园周于A<br/>则△ABC为所求。</font></p><p></p> <p><font face="仿宋_GB2312" color="#3c3cc4" size="5">欢迎翻阅以下帖子，给个解法或者提示：</font></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center; mso-pagination: widow-orphan;"><a title="[原创]三点的难题<三>" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70749&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6"><span style="FONT-SIZE: 11pt; COLOR: black; TEXT-DECORATION: none; mso-bidi-font-size: 12.0pt; text-underline: none;">[<span lang="EN-US">原创</span>]<span lang="EN-US">三点的难题</span><<span lang="EN-US">三</span>></font></font></a><font face="仿宋_GB2312" size="6"><br/></font><a title="[原创]三点的难题<二>" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70748&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6">[<span lang="EN-US">原创</span>]<span lang="EN-US">三点的难题</span><<span lang="EN-US">二</span>></font></font></a></span><font face="仿宋_GB2312"><font size="6">(已解决)<p></p></font></font></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center; mso-pagination: widow-orphan;"><a title="[原创]三点的难题" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70741&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6"><span style="FONT-SIZE: 11pt; COLOR: black; TEXT-DECORATION: none; mso-bidi-font-size: 12.0pt; text-underline: none;">[<span lang="EN-US">原创</span>]<span lang="EN-US">三点的难题</span></font></font></a><font face="仿宋_GB2312" size="6">(</font></span><font face="仿宋_GB2312"><font size="6">已解决)<p></p></font></font></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center; mso-pagination: widow-orphan;"><a title="[求作]三步作出三角形" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70735&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6"><span style="FONT-SIZE: 11pt; COLOR: black; TEXT-DECORATION: none; mso-bidi-font-size: 12.0pt; text-underline: none;">[<span lang="EN-US">求作</span>]<span lang="EN-US">三步作出三角形</span></font></font></a><font face="仿宋_GB2312" size="6">
<br/></font><a title="[求作]已知中线、垂心，求作三角形" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70717&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6">[<span lang="EN-US">求作</span>]<span lang="EN-US">已知中线、垂心，求作三角形</span></font></font></a></span><font face="仿宋_GB2312"><font size="6">(已解决)<p></p></font></font></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center; mso-pagination: widow-orphan;"><a title="[求三角形] 顶点在三同心圆上的三角形" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70695&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6"><span style="FONT-SIZE: 11pt; COLOR: black; TEXT-DECORATION: none; mso-bidi-font-size: 12.0pt; text-underline: none;">[<span lang="EN-US">求三角形</span>] <span lang="EN-US">顶点在三同心圆上的三角形</span></font></font></a><font face="仿宋_GB2312" size="6">
</font></span><font face="仿宋_GB2312"><font size="6">(已解决)<p></p></font></font></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center; mso-pagination: widow-orphan;"><a title="[求尺寸]扩张图" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70686&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6"><span style="FONT-SIZE: 11pt; COLOR: black; TEXT-DECORATION: none; mso-bidi-font-size: 12.0pt; text-underline: none;">[<span lang="EN-US">求尺寸</span>]<span lang="EN-US">扩张图</span></font></font></a><font face="仿宋_GB2312" size="6">
<br/></font><a title="[原创]被平分的四边形" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70652&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6">[<span lang="EN-US">原创</span>]<span lang="EN-US">被平分的四边形</span></font></font></a></span><font face="仿宋_GB2312"><font size="6">(已解决)<p></p></font></font></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center; mso-pagination: widow-orphan;"><a title="[求知]谁知道这个长方形" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70612&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6"><span style="FONT-SIZE: 11pt; COLOR: black; TEXT-DECORATION: none; mso-bidi-font-size: 12.0pt; text-underline: none;">[<span lang="EN-US">求知</span>]<span lang="EN-US">谁知道这<span lang="EN-US">个长方形</span></span></font></font></a><font face="仿宋_GB2312" size="6">
</font></span><font face="仿宋_GB2312"><font size="6">(已解决)<p></p></font></font></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center; mso-pagination: widow-orphan;"><a title="[原创]有趣的外接矩形" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70604&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6"><span style="FONT-SIZE: 11pt; COLOR: black; TEXT-DECORATION: none; mso-bidi-font-size: 12.0pt; text-underline: none;">[<span lang="EN-US">原创</span>]<span lang="EN-US">有趣的外接矩形</span></font></font></a></span><font face="仿宋_GB2312"><font size="6">(已解决)<p></p></font></font></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center; mso-pagination: widow-orphan;"><a title="[原创]有趣的中心与外心" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70598&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6"><span style="FONT-SIZE: 11pt; COLOR: black; TEXT-DECORATION: none; mso-bidi-font-size: 12.0pt; text-underline: none;">[<span lang="EN-US">原创</span>]<span lang="EN-US">有趣的中心与外心</span></font></font></a><font face="仿宋_GB2312" size="6">
</font></span><font face="仿宋_GB2312"><font size="6">(已解决)<p></p></font></font></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center; mso-pagination: widow-orphan;"><a title="[原创]求作内接等边三角形" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70553&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6"><span style="FONT-SIZE: 11pt; COLOR: black; TEXT-DECORATION: none; mso-bidi-font-size: 12.0pt; text-underline: none;">[<span lang="EN-US">原创</span>]<span lang="EN-US">求作内接等边三角形</span></font></font></a><font face="仿宋_GB2312" size="6">
</font></span><font face="仿宋_GB2312"><font size="6">(已解决)<p></p></font></font></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center; mso-pagination: widow-orphan;"><a title="[求援]来人啊，求作最短路线" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70499&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6"><span style="FONT-SIZE: 11pt; COLOR: black; TEXT-DECORATION: none; mso-bidi-font-size: 12.0pt; text-underline: none;">[<span lang="EN-US">求援</span>]<span lang="EN-US">来人啊，求作最短路线</span></font></font></a></span><font face="仿宋_GB2312"><font size="6">(已解决)<p></p></font></font></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center; mso-pagination: widow-orphan;"><a title="[原创]求作弓形外一点" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70498&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6"><span style="FONT-SIZE: 11pt; COLOR: black; TEXT-DECORATION: none; mso-bidi-font-size: 12.0pt; text-underline: none;">[<span lang="EN-US">原创</span>]<span lang="EN-US">求作弓形外一点</span></font></font></a></span><font face="仿宋_GB2312"><font size="6">(已解决)<p></p></font></font></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center; mso-pagination: widow-orphan;"><a title="[求线]等园线" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70457&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6"><span style="FONT-SIZE: 11pt; COLOR: black; TEXT-DECORATION: none; mso-bidi-font-size: 12.0pt; text-underline: none;">[<span lang="EN-US">求线</span>]<span lang="EN-US">等园线</span></font></font></a><font face="仿宋_GB2312" size="6">
</font></span><font face="仿宋_GB2312"><font size="6">(已解决)<p></p></font></font></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center; mso-pagination: widow-orphan;"><a title="[求师] 师哥，您会作这个周长最大的△吗" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70414&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6"><span style="FONT-SIZE: 11pt; COLOR: black; TEXT-DECORATION: none; mso-bidi-font-size: 12.0pt; text-underline: none;">[<span lang="EN-US">求师</span>]<span lang="EN-US">师哥，您会作这个周长最大的</span><span lang="EN-US">△</span><span lang="EN-US">吗</span></font></font></a><font face="仿宋_GB2312" size="6">
<br/></font><a title="[原创]重心在G点" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70376&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6">[<span lang="EN-US">原创</span>]<span lang="EN-US">重心在</span>G<span lang="EN-US">点</span></font></font></a><font face="仿宋_GB2312" size="6">
</font></span><font face="仿宋_GB2312"><font size="6">(已解决)
<p></p></font></font></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center; mso-pagination: widow-orphan;"><a title="[原创]内心世界" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70375&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6"><span style="FONT-SIZE: 11pt; COLOR: black; TEXT-DECORATION: none; mso-bidi-font-size: 12.0pt; text-underline: none;">[<span lang="EN-US">原创</span>]<span lang="EN-US">内心世界</span></font></font></a></span><font face="仿宋_GB2312"><font size="6">(已解决)<p></p></font></font></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center; mso-pagination: widow-orphan;"><a title="[原创]趣味垂心" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70374&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6"><span style="FONT-SIZE: 11pt; COLOR: black; TEXT-DECORATION: none; mso-bidi-font-size: 12.0pt; text-underline: none;">[<span lang="EN-US">原创</span>]<span lang="EN-US">趣味垂心</span></font></font></a></span><font face="仿宋_GB2312"><font size="6">(已解决)<p></p></font></font></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center; mso-pagination: widow-orphan;"><a title="[求救]救命，帕普斯的题难死人了" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70327&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6"><span style="FONT-SIZE: 11pt; COLOR: black; TEXT-DECORATION: none; mso-bidi-font-size: 12.0pt; text-underline: none;">[<span lang="EN-US">求救</span>]<span lang="EN-US">救命，帕普斯的题难死人了</span></font></font></a><font face="仿宋_GB2312"><font size="6">
<p></p></font></font></span></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center; mso-pagination: widow-orphan;"><a title="[求人]老师，怎样画椭园的外切三边形" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70313&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6"><span style="FONT-SIZE: 11pt; COLOR: black; TEXT-DECORATION: none; mso-bidi-font-size: 12.0pt; text-underline: none;">[<span lang="EN-US">求人</span>]<span lang="EN-US">老师，怎样画椭园的外切三边形</span></font></font></a><font face="仿宋_GB2312" size="6">
<br/></font><a title="[求教]请教条园规直尺作图题" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70287&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6">[<span lang="EN-US">求教</span>]<span lang="EN-US">请教条园规直尺作图题</span></font></font></a><font face="仿宋_GB2312" size="6">
</font></span><font face="仿宋_GB2312"><font size="6">(已解决)<p></p></font></font></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center; mso-pagination: widow-orphan;"><a title="[求作]广义费马点" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70261&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6"><span style="FONT-SIZE: 11pt; COLOR: black; TEXT-DECORATION: none; mso-bidi-font-size: 12.0pt; text-underline: none;">[<span lang="EN-US">求作</span>]<span lang="EN-US">广义费马点</span></font></font></a></span><font face="仿宋_GB2312"><font size="6">(已解决)
<p></p></font></font></p><p class="MsoNormal" align="center" style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center; mso-pagination: widow-orphan;"><a title="[求助]椭园内接三角形" href="http://bbs.mjtd.com/forum.php?mod=viewthread&tid=70238&replyID=&skin=1" target="_blank"><font face="仿宋_GB2312"><font size="6"><span style="FONT-SIZE: 11pt; COLOR: black; TEXT-DECORATION: none; mso-bidi-font-size: 12.0pt; text-underline: none;">[<span lang="EN-US">求助</span>] <span lang="EN-US">椭园内接三角形</span></font></font></a></span><font face="仿宋_GB2312"><font size="6">(已解决)<p></p></font></font></p><p><font face="仿宋_GB2312" size="6"></font></p>
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