美国高中数学竞赛题（关于怎么放硬币的问题）
<table width="100%"><tbody><tr><td>美国高中数学竞赛题（关于怎么放硬币的问题） </td></tr><tr><td><script>null</script></td></tr><tr><td style="WIDTH: 100%; LINE-HEIGHT: 200%; HEIGHT: 100px;"><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span style="FONT-SIZE: 10pt; COLOR: black; FONT-FAMILY: 宋体; mso-fareast-language: ZH-CN; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana;">有</span><span lang="EN-US">0.01</span><span style="FONT-FAMILY: 宋体; mso-fareast-language: ZH-CN; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">美圆的硬币，直径</span><span lang="EN-US"> <chmetcnv wst="on" tcsc="0" numbertype="1" negative="False" hasspace="True" sourcevalue="19.05" unitname="mm">19.05 <a title="Millimeter" href="http://en.wikipedia.org/wiki/Millimeter">mm</a><span lang="EN-US" style="FONT-FAMILY: 宋体; mso-fareast-language: ZH-CN; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';"><span lang="EN-US">，</span></span>0.05<span lang="EN-US" style="FONT-FAMILY: 宋体; mso-fareast-language: ZH-CN; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';"><span lang="EN-US">美圆直径</span></span><chmetcnv wst="on" tcsc="0" numbertype="1" negative="False" hasspace="True" sourcevalue="21.21" unitname="mm">21.21 <a title="Millimeter" href="http://en.wikipedia.org/wiki/Millimeter">mm</a><span lang="EN-US" style="FONT-FAMILY: 宋体; mso-fareast-language: ZH-CN; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';"><span lang="EN-US">，</span></span>0.10<span lang="EN-US" style="FONT-FAMILY: 宋体; mso-fareast-language: ZH-CN; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';"><span lang="EN-US">美圆直径</span></span><chmetcnv wst="on" tcsc="0" numbertype="1" negative="False" hasspace="True" sourcevalue="17.91" unitname="mm">17.91 <a title="Millimeter" href="http://en.wikipedia.org/wiki/Millimeter">mm</a><span lang="EN-US" style="FONT-FAMILY: 宋体; mso-fareast-language: ZH-CN; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';"><span lang="EN-US">，</span></span>0.25<span lang="EN-US" style="FONT-FAMILY: 宋体; mso-fareast-language: ZH-CN; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';"><span lang="EN-US">美圆直径</span></span><chmetcnv wst="on" tcsc="0" numbertype="1" negative="False" hasspace="True" sourcevalue="24.26" unitname="mm">24.26 <a title="Millimeter" href="http://en.wikipedia.org/wiki/Millimeter">mm</a><span lang="EN-US" style="FONT-FAMILY: 宋体; mso-fareast-language: ZH-CN; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';"><span lang="EN-US">。问在一个半径</span></span><chmetcnv wst="on" tcsc="0" numbertype="1" negative="False" hasspace="False" sourcevalue="7.6" unitname="cm"><span style="mso-fareast-language: ZH-CN;">7.6cm</span></chmetcnv><span style="mso-fareast-language: ZH-CN;"> </span><span lang="EN-US" style="FONT-FAMILY: 宋体; mso-fareast-language: ZH-CN; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';"><span lang="EN-US">的圆里面可以怎么放这些硬币使得<span lang="EN-US">硬币值<span lang="EN-US">最大？<span lang="EN-US">并且证明</span></span></span></span></span><span style="mso-fareast-language: ZH-CN;"><p></p></span></chmetcnv></chmetcnv></chmetcnv></chmetcnv></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="mso-fareast-language: ZH-CN;"><p> </p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="mso-fareast-language: ZH-CN;"><p> </p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span style="FONT-FAMILY: 宋体; mso-fareast-language: ZH-CN; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">我是这么想的，因为可以放</span><span lang="EN-US" style="mso-fareast-language: ZH-CN;">0.01</span><span style="FONT-FAMILY: 宋体; mso-fareast-language: ZH-CN; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">美圆的地方也可以放</span><span lang="EN-US" style="mso-fareast-language: ZH-CN;">0.10</span><span style="FONT-FAMILY: 宋体; mso-fareast-language: ZH-CN; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">美圆的，所以不用考虑</span><span lang="EN-US" style="mso-fareast-language: ZH-CN;">0.01</span><span style="FONT-FAMILY: 宋体; mso-fareast-language: ZH-CN; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">美圆的硬币。另外因为</span><span lang="EN-US">0.05</span><span style="FONT-FAMILY: 宋体; mso-fareast-language: ZH-CN; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">美圆的硬币面积和</span><span lang="EN-US" style="mso-fareast-language: ZH-CN;">0.10</span><span style="FONT-FAMILY: 宋体; mso-fareast-language: ZH-CN; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">的差不多。所以只考虑怎么放</span><span lang="EN-US" style="mso-fareast-language: ZH-CN;">0.25 </span><span style="FONT-FAMILY: 宋体; mso-fareast-language: ZH-CN; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">和</span><span lang="EN-US" style="mso-fareast-language: ZH-CN;">0.10</span><span style="FONT-FAMILY: 宋体; mso-fareast-language: ZH-CN; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">美圆的。我现在最大的是</span><span lang="EN-US" style="mso-fareast-language: ZH-CN;">6.85</span><span style="FONT-FAMILY: 宋体; mso-fareast-language: ZH-CN; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">美圆，但是不知道是不是最大的，而且不知道怎么证明。</span><span lang="EN-US" style="mso-fareast-language: ZH-CN;"><p></p></span></p></td></tr></tbody></table> <p>现在有6.90</p><p>但是不知道怎么证明</p><p>顶</p>
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