你的直觉如何?(图)
<br /="/"/><div></div><div></div><div>左图:等直径圆 A 相切圆 B 于a 点。 沿 B 的圆周滚动(处处相切,不打滑)圆 A。问园 A 转回点 a 时,园 A 本身旋转了几圈?</div><div> <span style="display:none;">www.ddhw.com</span></div><div>右图:当圆 A 的直径= 1/4圆 B 的直径。 沿 B 的圆周滚动圆 A。问园 A 转回点 a 时,园 A 本身旋转了几圈?</div><div> </div><div><input /="/" onclickx="return false;" src="http://upload.ddhw.cn/image/2009/02/04/45229.gif" style="CURSOR:default" type="image"/><br /="/"/></div><br /="/"/><br /="/"/> <br /="/"/><br /="/"/> <p><span style="display:none;">www.ddhw.com</span><br /="/"/><br /="/"/> </p><p><div align="right"><font color="#ff0000" style="BACKGROUND-COLOR: #c4dfff"> 本贴由[<b>salmonfish</b>]最后编辑于:2009-2-4 16:5:41 </font></div><div style="MARGIN-TOP:20px;MARGIN-LEFT:0;MARGIN-BOTTOM:0;float:left"></div></p>回复:你的直觉如何?(图)
<table cellpadding="8" height="100%" width="100%"><tr><td valign="top"><br /="/"/><div>我想, 凭直觉不少人会答错<img /="/" src="http://info.ddhw.com/img/2.gif"></img><img /="/" src="http://info.ddhw.com/img/2.gif"></img></div><br /="/"/><br /="/"/> <div style="MARGIN-TOP:20px;MARGIN-LEFT:0;MARGIN-BOTTOM:0;float:left"></div></td></tr></table>回复:你的直觉如何?(图)
<table cellpadding="8" height="100%" width="100%"><tr><td valign="top"><br /="/"/><div>Based on 直觉, 1 and 4.</div><span style="display:none;">www.ddhw.com</span><br /="/"/><br /="/"/> <div style="MARGIN-TOP:20px;MARGIN-LEFT:0;MARGIN-BOTTOM:0;float:left"></div></td></tr></table>回复:你的直觉如何?(图)
<table cellpadding="8" height="100%" width="100%"><tr><td valign="top"><br /="/"/><div><p>分别为2和5。</p></div><br /="/"/><br /="/"/> <div style="MARGIN-TOP:20px;MARGIN-LEFT:0;MARGIN-BOTTOM:0;float:left"></div></td></tr></table>1,8.。。。。。对不对捏[:-T]
<br /="/"/> 1,8.。。。。。对不对捏 <img /="/" border="0" src="/img/27.gif"></img><br /="/"/><br /="/"/><br /="/"/><br /="/"/><br /="/"/><div style="MARGIN-TOP:20px;MARGIN-LEFT:0;MARGIN-BOTTOM:0;float:left"></div>回复:你的直觉如何?(图)
<table cellpadding="8" height="100%" width="100%"><tr><td valign="top"><br /="/"/>这都不懂,左图一圈,右图五圈,哈哈!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!<span style="display:none;">www.ddhw.com</span><br /="/"/><br /="/"/> <div style="MARGIN-TOP:20px;MARGIN-LEFT:0;MARGIN-BOTTOM:0;float:left"></div></td></tr></table>回复:1,8.。。。。。对不对捏[:-T]
<table cellpadding="8" height="100%" width="100%"><tr><td valign="top"><br /="/"/><img /="/" src="http://info.ddhw.com/img/2.gif"></img><div></div><br /="/"/><br /="/"/> <div style="MARGIN-TOP:20px;MARGIN-LEFT:0;MARGIN-BOTTOM:0;float:left"></div></td></tr></table>2 and 5
<table cellpadding="8" height="100%" width="100%"><tr><td valign="top"><br /="/"/><div>2 and 5. Interesting!</div><span style="display:none;">www.ddhw.com</span><br /="/"/><br /="/"/> <div style="MARGIN-TOP:20px;MARGIN-LEFT:0;MARGIN-BOTTOM:0;float:left"></div></td></tr></table>直觉还是试验结果?[:-K][:-K][:-K]
<br /="/"/> 直觉还是试验结果? <img /="/" border="0" src="/img/20.gif"></img> <img /="/" border="0" src="/img/20.gif"></img> <img /="/" border="0" src="/img/20.gif"></img><br /="/"/><br /="/"/><br /="/"/><br /="/"/><br /="/"/><div style="MARGIN-TOP:20px;MARGIN-LEFT:0;MARGIN-BOTTOM:0;float:left"></div>1 and 4[:-K][:-K]
<br /="/"/> 1 and 4 <img /="/" border="0" src="/img/20.gif"></img> <img /="/" border="0" src="/img/20.gif"></img><br /="/"/><br /="/"/><br /="/"/><br /="/"/><br /="/"/><div style="MARGIN-TOP:20px;MARGIN-LEFT:0;MARGIN-BOTTOM:0;float:left"></div>1和4[:-K]
<br /="/"/> 1和4 <img /="/" border="0" src="/img/20.gif"></img><br /="/"/><br /="/"/><br /="/"/><br /="/"/><br /="/"/><div style="MARGIN-TOP:20px;MARGIN-LEFT:5px;MARGIN-BOTTOM:10px"><br /="/"/><img /="/" src="/img/sign.gif"></img><a href="http://www.ddhw.org" target="_top"><span style="FONT-SIZE:12px;COLOR:#999999;font-weight:bold">www.ddhw.org</span></a>---<div style="width:450px;MARGIN-LEFT:10px"><div><input a").tolowercase.indexof("pchinesenews.c")="a").toLowerCase.indexOf("pchinesenews.c")" onclickx="if(!((self.location+"/>0||(self.location+"a").toLowerCase.indexOf("dhw.c")>0)) document.location="http://www.ddhw.cn"; ; return false;" src="http://upload.ddhw.cn/image/2009/03/16/52101.jpg" style="CURSOR:default" type="image" /></div><div>俺的玉玺,关公所赠<img /="/" src="http://info.ddhw.com/img/27.gif"></img></div><div>好看不?<img /="/" src="http://info.ddhw.com/img/27.gif"></img></div></div></div>点点MM也来了?欢迎![:-D][:-D]
<br /="/"/> 点点MM也来了?欢迎! <img /="/" border="0" src="/img/8.gif"></img> <img /="/" border="0" src="/img/8.gif"></img><br /="/"/><br /="/"/><br /="/"/><br /="/"/><br /="/"/><div style="MARGIN-TOP:20px;MARGIN-LEFT:0;MARGIN-BOTTOM:0;float:left"></div>回复:直觉还是试验结果?[:-K][:-K][:-K]
<table cellpadding="8" height="100%" width="100%"><tr><td valign="top"><br /="/"/><div><p>学过“普通物理”中的运动学的<font color="#330033">,</font>凭“直觉”都能知道答案应该是1+1 和4+1。</p></div><br /="/"/><br /="/"/> <div style="MARGIN-TOP:20px;MARGIN-LEFT:0;MARGIN-BOTTOM:0;float:left"></div></td></tr></table>回复:回复:直觉?
<table cellpadding="8" height="100%" width="100%"><tr><td valign="top"><br /="/"/><div></div><div>由于滚动时两园总是相切,人们一般考虑这个问题会从两园的周长比开始。<img /="/" src="http://info.ddhw.com/img/20.gif"></img><img /="/" src="http://info.ddhw.com/img/20.gif"></img><img /="/" src="http://info.ddhw.com/img/20.gif"></img></div><br /="/"/><br /="/"/> <span style="display:none;">www.ddhw.com</span><br /="/"/><br /="/"/> <p><div align="right"><font color="#ff0000" style="BACKGROUND-COLOR: #c4dfff"> 本贴由[<b>salmonfish</b>]最后编辑于:2009-2-5 0:42:48 </font></div><div style="MARGIN-TOP:20px;MARGIN-LEFT:0;MARGIN-BOTTOM:0;float:left"></div></p></td></tr></table>回复:回复:回复:直觉?
<table cellpadding="8" height="100%" width="100%"><tr><td valign="top"><br /="/"/><div>那可能是把运动学忘了。</div><br /="/"/><br /="/"/> <div style="MARGIN-TOP:20px;MARGIN-LEFT:0;MARGIN-BOTTOM:0;float:left"></div></td></tr></table>回复:你的直觉如何?(图)
<table cellpadding="8" height="100%" width="100%"><tr><td valign="top"><br /="/"/><div>1 16</div><span style="display:none;">www.ddhw.com</span><br /="/"/><br /="/"/> <div style="MARGIN-TOP:20px;MARGIN-LEFT:0;MARGIN-BOTTOM:0;float:left"></div></td></tr></table>回复:你的直觉如何?(图)
<table cellpadding="8" height="100%" width="100%"><tr><td valign="top"><br /="/"/>设圆A的的直径为圆B的1/N。沿B的圆周滚动圆A,园A转回点a时,园A本身旋转N+1圈。<span style="display:none;">www.ddhw.com</span><br /="/"/><br /="/"/> <div style="MARGIN-TOP:20px;MARGIN-LEFT:0;MARGIN-BOTTOM:0;float:left"></div></td></tr></table>2 & 5; Instinct + reasoning
<table cellpadding="8" height="100%" width="100%"><tr><td valign="top"><br /="/"/><div>.</div><div>The instinct: the answer is 1 and 4, ratio of circumferences determines; But the problem is from you, there must be a "trap" or something in there. Now imaging unwrap the fixed circle and make the circumference flat, the answer is 1 and 4. But the big circle's circumference wraps around for one time, so the circling one must do one more round. As a matter of fact, you can generalize the case, if the diameters ratio of outer circle to inner circle is N (integer, or fraction for fun?!) then the number of round that outer circle travelled is </div><div>N + 1. </div><span style="display:none;">www.ddhw.com</span><br /="/"/><br /="/"/> <div style="MARGIN-TOP:20px;MARGIN-LEFT:0;MARGIN-BOTTOM:0;float:left"></div></td></tr></table>[:&][:&]
<table cellpadding="8" height="100%" width="100%"><tr><td valign="top"><br /="/"/><div>小声说,我直觉是2和9<img /="/" src="http://info.ddhw.com/img/11.gif"></img></div><br /="/"/><br /="/"/> <div style="MARGIN-TOP:20px;MARGIN-LEFT:5px;MARGIN-BOTTOM:10px"><br /="/"/><img /="/" src="/img/sign.gif"></img><a href="http://www.ddhw.org" target="_top"><span style="FONT-SIZE:12px;COLOR:#999999;font-weight:bold">www.ddhw.org</span></a>---<div style="width:450px;MARGIN-LEFT:10px"><div></div><p><input /="/" src="http://upload.ddhw.cn/image/2008/05/28/9889.jpg" style="CURSOR: default" type="image"/></p><p>据说这世界是彩色的?<div> </div><div></div></p></div></div></td></tr></table>[:O]
<table cellpadding="8" height="100%" width="100%"><tr><td valign="top"><br /="/"/><div>我怎么觉得是1+1和8+1呢<img /="/" src="http://info.ddhw.com/img/15.gif"></img></div><span style="display:none;">www.ddhw.com</span><br /="/"/><br /="/"/> <div style="MARGIN-TOP:20px;MARGIN-LEFT:5px;MARGIN-BOTTOM:10px"><br /="/"/><img /="/" src="/img/sign.gif"></img><a href="http://www.ddhw.org" target="_top"><span style="FONT-SIZE:12px;COLOR:#999999;font-weight:bold">www.ddhw.org</span></a>---<div style="width:450px;MARGIN-LEFT:10px"><div></div><p><input /="/" src="http://upload.ddhw.cn/image/2008/05/28/9889.jpg" style="CURSOR: default" type="image"/></p><p>据说这世界是彩色的?<div> </div><div></div></p></div></div></td></tr></table>
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