锘??xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:trackback="http://madskills.com/public/xml/rss/module/trackback/" xmlns:wfw="http://wellformedweb.org/CommentAPI/" xmlns:slash="http://purl.org/rss/1.0/modules/slash/"><channel><title>&#20037;&#20037;&#25104;&#20154;&#49;&#56;&#20813;&#36153;&#32593;&#31449;&#44;&#20037;&#20037;&#20037;&#31934;&#21697;&#26085;&#26412;&#19968;&#21306;&#20108;&#21306;&#19977;&#21306;&#44;&#20037;&#20037;&#21482;&#26377;&#36825;&#31934;&#21697;&#57;&#57;</title><link>http://www.shnenglu.com/misschuer/category/21343.html</link><description /><language>zh-cn</language><lastBuildDate>Wed, 06 Dec 2017 06:14:13 GMT</lastBuildDate><pubDate>Wed, 06 Dec 2017 06:14:13 GMT</pubDate><ttl>60</ttl><item><title>娉曠嚎鐨勯�嗚漿緗煩闃墊帹鍊?杞?</title><link>http://www.shnenglu.com/misschuer/archive/2017/12/06/215394.html</link><dc:creator>姝ゆ渶鐩告�?/dc:creator><author>姝ゆ渶鐩告�?/author><pubDate>Wed, 06 Dec 2017 03:39:00 GMT</pubDate><guid>http://www.shnenglu.com/misschuer/archive/2017/12/06/215394.html</guid><wfw:comment>http://www.shnenglu.com/misschuer/comments/215394.html</wfw:comment><comments>http://www.shnenglu.com/misschuer/archive/2017/12/06/215394.html#Feedback</comments><slash:comments>0</slash:comments><wfw:commentRss>http://www.shnenglu.com/misschuer/comments/commentRss/215394.html</wfw:commentRss><trackback:ping>http://www.shnenglu.com/misschuer/services/trackbacks/215394.html</trackback:ping><description><![CDATA[<h2>Transforming Planes</h2><p style="box-sizing: border-box; margin: 0px 0px 14px; padding: 0px; word-wrap: break-word; word-break: normal; color: #454545; font-family: Arial; background-color: #ffffff;">If we have a plane vector&nbsp;<strong style="box-sizing: border-box;">n</strong>&nbsp;= [a, b, c, d] which describes a plane then for any point&nbsp;<strong style="box-sizing: border-box;">p</strong>&nbsp;= [x, y, z, 1] in that plane the follow equation holds:</p><p style="box-sizing: border-box; margin: 0px 0px 14px; padding: 0px; word-wrap: break-word; word-break: normal; color: #454545; font-family: Arial; background-color: #ffffff;"><strong style="box-sizing: border-box;">n</strong><span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; top: -0.5em;">t</span>&nbsp;<strong style="box-sizing: border-box;">p</strong>&nbsp;= ax + by + cz + d = 0</p><p style="box-sizing: border-box; margin: 0px 0px 14px; padding: 0px; word-wrap: break-word; word-break: normal; color: #454545; font-family: Arial; background-color: #ffffff;">If for a point&nbsp;<strong style="box-sizing: border-box;">p</strong>&nbsp;on the plane, we apply an invertible transformation&nbsp;<strong style="box-sizing: border-box;">R</strong>&nbsp;to get the transformed point&nbsp;<strong style="box-sizing: border-box;">p<span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; bottom: -0.25em;">1</span></strong>, then the plane vector&nbsp;<strong style="box-sizing: border-box;">n<span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; bottom: -0.25em;">1</span></strong>&nbsp;of the transformed plane is given by applying a corresponding transformation&nbsp;<strong style="box-sizing: border-box;">Q</strong>&nbsp;to the original plane vector&nbsp;<strong style="box-sizing: border-box;">n</strong>&nbsp;where&nbsp;<strong style="box-sizing: border-box;">Q</strong>&nbsp;is unknown.</p><p style="box-sizing: border-box; margin: 0px 0px 14px; padding: 0px; word-wrap: break-word; word-break: normal; color: #454545; font-family: Arial; background-color: #ffffff;"><strong style="box-sizing: border-box;">p<span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; bottom: -0.25em;">1</span></strong>&nbsp;=&nbsp;<strong style="box-sizing: border-box;">R&nbsp;p&nbsp;<br style="box-sizing: border-box;" />n<span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; bottom: -0.25em;">1</span></strong>&nbsp;=&nbsp;<strong style="box-sizing: border-box;">Q&nbsp;n</strong>&nbsp;<br style="box-sizing: border-box;" /></p><span style="color: #454545; font-family: Arial; background-color: #ffffff;">We can solve for&nbsp;</span><strong style="box-sizing: border-box; color: #454545; font-family: Arial; background-color: #ffffff;">Q</strong><span style="color: #454545; font-family: Arial; background-color: #ffffff;">&nbsp;by using the resulting plane equation:&nbsp;</span><br style="box-sizing: border-box; color: #454545; font-family: Arial; background-color: #ffffff;" /><p style="box-sizing: border-box; margin: 0px 0px 14px; padding: 0px; word-wrap: break-word; word-break: normal; color: #454545; font-family: Arial; background-color: #ffffff;"><strong style="box-sizing: border-box;">n<span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; bottom: -0.25em;">1</span></strong><span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; top: -0.5em;">t</span>&nbsp;<strong style="box-sizing: border-box;">p<span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; bottom: -0.25em;">1</span></strong>&nbsp;= 0&nbsp;<br style="box-sizing: border-box;" /></p><span style="color: #454545; font-family: Arial; background-color: #ffffff;">Begin by substituting for&nbsp;</span><strong style="box-sizing: border-box; color: #454545; font-family: Arial; background-color: #ffffff;">n<span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; bottom: -0.25em;">1</span></strong><span style="color: #454545; font-family: Arial; background-color: #ffffff;">&nbsp;and&nbsp;</span><strong style="box-sizing: border-box; color: #454545; font-family: Arial; background-color: #ffffff;">p<span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; bottom: -0.25em;">1</span></strong><span style="color: #454545; font-family: Arial; background-color: #ffffff;">:&nbsp;</span><br style="box-sizing: border-box; color: #454545; font-family: Arial; background-color: #ffffff;" /><p style="box-sizing: border-box; margin: 0px 0px 14px; padding: 0px; word-wrap: break-word; word-break: normal; color: #454545; font-family: Arial; background-color: #ffffff;">(<strong style="box-sizing: border-box;">Q&nbsp;n</strong>)<span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; top: -0.5em;">t</span>&nbsp;(<strong style="box-sizing: border-box;">R&nbsp;p</strong>) = 0&nbsp;<br style="box-sizing: border-box;" /><strong style="box-sizing: border-box;">n</strong><span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; top: -0.5em;">t</span>&nbsp;<strong style="box-sizing: border-box;">Q</strong><span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; top: -0.5em;">t</span>&nbsp;<strong style="box-sizing: border-box;">R&nbsp;p</strong>&nbsp;= 0&nbsp;<br style="box-sizing: border-box;" /></p><span style="color: #454545; font-family: Arial; background-color: #ffffff;">If&nbsp;</span><strong style="box-sizing: border-box; color: #454545; font-family: Arial; background-color: #ffffff;">Q</strong><span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; top: -0.5em; color: #454545; font-family: Arial; background-color: #ffffff;">t</span>&nbsp;<strong style="box-sizing: border-box; color: #454545; font-family: Arial; background-color: #ffffff;">R</strong><span style="color: #454545; font-family: Arial; background-color: #ffffff;">&nbsp;=&nbsp;</span><strong style="box-sizing: border-box; color: #454545; font-family: Arial; background-color: #ffffff;">I</strong><span style="color: #454545; font-family: Arial; background-color: #ffffff;">&nbsp;then&nbsp;</span><strong style="box-sizing: border-box; color: #454545; font-family: Arial; background-color: #ffffff;">n</strong><span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; top: -0.5em; color: #454545; font-family: Arial; background-color: #ffffff;">t</span>&nbsp;<strong style="box-sizing: border-box; color: #454545; font-family: Arial; background-color: #ffffff;">Q</strong><span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; top: -0.5em; color: #454545; font-family: Arial; background-color: #ffffff;">t</span>&nbsp;<strong style="box-sizing: border-box; color: #454545; font-family: Arial; background-color: #ffffff;">R&nbsp;p</strong><span style="color: #454545; font-family: Arial; background-color: #ffffff;">&nbsp;=&nbsp;</span><strong style="box-sizing: border-box; color: #454545; font-family: Arial; background-color: #ffffff;">n</strong><span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; top: -0.5em; color: #454545; font-family: Arial; background-color: #ffffff;">t</span>&nbsp;<strong style="box-sizing: border-box; color: #454545; font-family: Arial; background-color: #ffffff;">I&nbsp;p</strong><span style="color: #454545; font-family: Arial; background-color: #ffffff;">&nbsp;=&nbsp;</span><strong style="box-sizing: border-box; color: #454545; font-family: Arial; background-color: #ffffff;">n</strong><span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; top: -0.5em; color: #454545; font-family: Arial; background-color: #ffffff;">t</span>&nbsp;<strong style="box-sizing: border-box; color: #454545; font-family: Arial; background-color: #ffffff;">p</strong><span style="color: #454545; font-family: Arial; background-color: #ffffff;">&nbsp;= 0 which is given.</span><br style="box-sizing: border-box; color: #454545; font-family: Arial; background-color: #ffffff;" /><p style="box-sizing: border-box; margin: 0px 0px 14px; padding: 0px; word-wrap: break-word; word-break: normal; color: #454545; font-family: Arial; background-color: #ffffff;"><strong style="box-sizing: border-box;">Q</strong><span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; top: -0.5em;">t</span>&nbsp;<strong style="box-sizing: border-box;">R</strong>&nbsp;=&nbsp;<strong style="box-sizing: border-box;">I&nbsp;<br style="box-sizing: border-box;" />Q</strong><span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; top: -0.5em;">t</span>&nbsp;=&nbsp;<strong style="box-sizing: border-box;">R</strong><span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; top: -0.5em;">-1</span>&nbsp;<br style="box-sizing: border-box;" /><strong style="box-sizing: border-box;">Q</strong>&nbsp;= (<strong style="box-sizing: border-box;">R</strong><span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; top: -0.5em;">-1</span>)<span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; top: -0.5em;">t</span>&nbsp;<br style="box-sizing: border-box;" /></p><span style="color: #454545; font-family: Arial; background-color: #ffffff;">Substituting&nbsp;</span><strong style="box-sizing: border-box; color: #454545; font-family: Arial; background-color: #ffffff;">Q</strong><span style="color: #454545; font-family: Arial; background-color: #ffffff;">&nbsp;back into our plane vector transformation equation we get:&nbsp;</span><br style="box-sizing: border-box; color: #454545; font-family: Arial; background-color: #ffffff;" /><p style="box-sizing: border-box; margin: 0px 0px 14px; padding: 0px; word-wrap: break-word; word-break: normal; color: #454545; font-family: Arial; background-color: #ffffff;"><strong style="box-sizing: border-box;">n<span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; bottom: -0.25em;">1</span></strong>&nbsp;=&nbsp;<strong style="box-sizing: border-box;">Q&nbsp;n</strong>&nbsp;= (<strong style="box-sizing: border-box;">R</strong><span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; top: -0.5em;">-1</span>)<span style="box-sizing: border-box; position: relative; font-size: 12px; line-height: 0; vertical-align: baseline; top: -0.5em;">t</span>&nbsp;<strong style="box-sizing: border-box;">n</strong></p><img src ="http://www.shnenglu.com/misschuer/aggbug/215394.html" width = "1" height = "1" /><br><br><div align=right><a style="text-decoration:none;" href="http://www.shnenglu.com/misschuer/" target="_blank">姝ゆ渶鐩告�?/a> 2017-12-06 11:39 <a href="http://www.shnenglu.com/misschuer/archive/2017/12/06/215394.html#Feedback" target="_blank" style="text-decoration:none;">鍙戣〃璇勮</a></div>]]></description></item><item><title>涓夌淮鏃嬭漿(杞澆)</title><link>http://www.shnenglu.com/misschuer/archive/2017/12/04/215389.html</link><dc:creator>姝ゆ渶鐩告�?/dc:creator><author>姝ゆ渶鐩告�?/author><pubDate>Mon, 04 Dec 2017 07:50:00 GMT</pubDate><guid>http://www.shnenglu.com/misschuer/archive/2017/12/04/215389.html</guid><wfw:comment>http://www.shnenglu.com/misschuer/comments/215389.html</wfw:comment><comments>http://www.shnenglu.com/misschuer/archive/2017/12/04/215389.html#Feedback</comments><slash:comments>0</slash:comments><wfw:commentRss>http://www.shnenglu.com/misschuer/comments/commentRss/215389.html</wfw:commentRss><trackback:ping>http://www.shnenglu.com/misschuer/services/trackbacks/215389.html</trackback:ping><description><![CDATA[<div>http://blog.csdn.net/csxiaoshui/article/details/65446125</div><img src ="http://www.shnenglu.com/misschuer/aggbug/215389.html" width = "1" height = "1" /><br><br><div align=right><a style="text-decoration:none;" href="http://www.shnenglu.com/misschuer/" target="_blank">姝ゆ渶鐩告�?/a> 2017-12-04 15:50 <a href="http://www.shnenglu.com/misschuer/archive/2017/12/04/215389.html#Feedback" target="_blank" style="text-decoration:none;">鍙戣〃璇勮</a></div>]]></description></item><item><title>榻愭鍧愭爣鐨勭悊瑙?杞澆鍒漢鐨?</title><link>http://www.shnenglu.com/misschuer/archive/2017/12/04/215387.html</link><dc:creator>姝ゆ渶鐩告�?/dc:creator><author>姝ゆ渶鐩告�?/author><pubDate>Mon, 04 Dec 2017 06:34:00 GMT</pubDate><guid>http://www.shnenglu.com/misschuer/archive/2017/12/04/215387.html</guid><wfw:comment>http://www.shnenglu.com/misschuer/comments/215387.html</wfw:comment><comments>http://www.shnenglu.com/misschuer/archive/2017/12/04/215387.html#Feedback</comments><slash:comments>0</slash:comments><wfw:commentRss>http://www.shnenglu.com/misschuer/comments/commentRss/215387.html</wfw:commentRss><trackback:ping>http://www.shnenglu.com/misschuer/services/trackbacks/215387.html</trackback:ping><description><![CDATA[<p style="margin-top: 10px; margin-bottom: 10px; padding: 0px; font-family: 寰蔣闆呴粦, verdana, &quot;ms song&quot;, 瀹嬩綋, Arial, Helvetica, sans-serif; font-size: 13px; line-height: 19.5px; background-color: #f6e497;">鏉ユ簮&nbsp;<span style="font-family: verdana, &quot;courier new&quot;; font-size: 14px; line-height: 21px;">https://www.cnblogs.com/csyisong/archive/2008/12/09/1351372.html</span></p><p style="margin-top: 10px; margin-bottom: 10px; padding: 0px; font-family: 寰蔣闆呴粦, verdana, &quot;ms song&quot;, 瀹嬩綋, Arial, Helvetica, sans-serif; font-size: 13px; line-height: 19.5px; background-color: #f6e497;"><br />&nbsp;涓�鐩村榻愭鍧愭爣榪欎釜姒傚康鐨勭悊瑙ｄ笉澶熷交搴曪紝鍙澶ч儴鍒嗙殑涔︿腑璇撮亾&#8220;榻愭鍧愭爣鍦ㄤ豢灝勫彉鎹腑闈炲父鐨勬柟渚?#8221;錛岀劧鍚庡氨娌℃湁浜嗗悗鏂囷紝浠婂ぉ鍦ㄤ竴涓彨鍋?#8220;涓夌櫨騫?閲嶇敓&#8221;鐨勫崥瀹笂鐪嬪埌涓�綃囧叧浜庨�忚鎶曞獎鍙樻崲鐨勬帰璁ㄧ殑鏂囩珷錛屽叾涓湁瀵歸綈嬈″潗鏍囨湁闈炲父綺捐緹鐨勮鏄庯紝鐗瑰埆鏄拡瀵硅繖鏍蜂竴鍙ヨ瘽榪涜浜嗘湁鍔涚殑璇佹槑錛?em style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-family: 瀹嬩綋;">&#8220;榻愭鍧愭爣琛ㄧず鏄綆楁満鍥懼艦瀛︾殑閲嶈鎵嬫涔嬩竴錛屽畠鏃㈣兘澶熺敤鏉ユ槑紜尯鍒嗗悜閲忓拰鐐癸紝鍚屾椂涔熸洿鏄撶敤浜庤繘琛屼豢灝勶紙綰挎�э級鍑犱綍鍙樻崲銆?#8221;&#8212;&#8212;</span>&nbsp;</em>F.S. Hill, JR銆?/p><p style="margin-top: 10px; margin-bottom: 10px; padding: 0px; font-family: 寰蔣闆呴粦, verdana, &quot;ms song&quot;, 瀹嬩綋, Arial, Helvetica, sans-serif; font-size: 13px; line-height: 19.5px; background-color: #f6e497;">&nbsp;&nbsp;&nbsp;&nbsp; 鐢變簬浣滆�呭榻愭鍧愭爣鐪熺殑瑙ｉ噴鐨勪笉閿欙紝鎴戝氨鍘熷皝涓嶅姩鐨勬憳鎶勮繃鏉ワ細</p><p style="margin-top: 10px; margin-bottom: 10px; padding: 0px; font-family: 寰蔣闆呴粦, verdana, &quot;ms song&quot;, 瀹嬩綋, Arial, Helvetica, sans-serif; font-size: 13px; line-height: 19.5px; background-color: #f6e497;">&nbsp;&nbsp;&nbsp;&nbsp;<span style="margin: 0px; padding: 0px; font-family: &quot;Times New Roman&quot;;">&nbsp;瀵逛簬涓�涓?/span><em style="margin: 0px; padding: 0px; font-family: &quot;Times New Roman&quot;;">鍚戦噺</em><strong style="margin: 0px; padding: 0px; font-family: &quot;Times New Roman&quot;;"><span style="margin: 0px; padding: 0px;">v</span></strong><span style="margin: 0px; padding: 0px; font-family: &quot;Times New Roman&quot;;">浠ュ強鍩?/span><strong style="margin: 0px; padding: 0px; font-family: &quot;Times New Roman&quot;;"><span style="margin: 0px; padding: 0px;">oabc</span></strong>錛?span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: &quot;Times New Roman&quot;;">鍙互鎵懼埌涓�緇勫潗鏍?/span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">(v1,v2,v3)</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: &quot;Times New Roman&quot;;">錛屼嬌寰?/span><strong style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">v</span></strong><span style="margin: 0px; padding: 0px; font-size: 12pt;">&nbsp;= v1&nbsp;</span><span style="margin: 0px; padding: 0px; font-size: 12pt;"><strong style="margin: 0px; padding: 0px;">a</strong>&nbsp;+ v2&nbsp;<strong style="margin: 0px; padding: 0px; font-size: 10pt;">b +&nbsp;</strong></span><span style="margin: 0px; padding: 0px; font-size: 12pt;">v3</span><span style="margin: 0px; padding: 0px; font-size: 12pt;"><strong style="margin: 0px; padding: 0px;">&nbsp;c</strong></span><span style="margin: 0px; padding: 0px;"><strong style="margin: 0px; padding: 0px;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;</strong></span><strong style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-family: 瀹嬩綋;">錛?/span><span style="margin: 0px; padding: 0px;">1</span></strong><strong style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-family: 瀹嬩綋;">錛?/span></strong></p><p style=" padding: 0px; font-size: 13px; line-height: 19.5px; font-family: 寰蔣闆呴粦, verdana, &quot;ms song&quot;, 瀹嬩綋, Arial, Helvetica, sans-serif; background-color: #f6e497;"><strong style="margin: 0px; padding: 0px;">&nbsp;</strong><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">鑰屽浜庝竴涓?/span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;"><em style="margin: 0px; padding: 0px;">鐐?/em></span><strong style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">p</span></span></strong><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">錛屽垯鍙互鎵懼埌涓�緇勫潗鏍囷紙</span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">p1,p2,p3</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">錛夛紝浣垮緱</span>&nbsp;<strong style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">p</span></strong><span style="margin: 0px; padding: 0px; font-size: 12pt;">&nbsp;&#8211;&nbsp;</span><span style="margin: 0px; padding: 0px; font-size: 12pt;"><strong style="margin: 0px; padding: 0px;">o</strong>&nbsp;= p1&nbsp;<strong style="margin: 0px; padding: 0px; font-size: 12pt;">a +&nbsp;</strong>p2&nbsp;<strong style="margin: 0px; padding: 0px;">b</strong>&nbsp;+ p3&nbsp;<strong style="margin: 0px; padding: 0px;">c&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</strong></span><span style="margin: 0px; padding: 0px; font-family: 瀹嬩綋;"><strong style="margin: 0px; padding: 0px;">錛?/strong></span><strong style="margin: 0px; padding: 0px;">2錛夛紝</strong></p><p style=" padding: 0px; font-size: 13px; line-height: 19.5px; font-family: 寰蔣闆呴粦, verdana, &quot;ms song&quot;, 瀹嬩綋, Arial, Helvetica, sans-serif; background-color: #f6e497;"><strong style="margin: 0px; padding: 0px;"></strong>&nbsp;</p><p style=" padding: 0px; font-size: 13px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">浠庝笂闈㈠</span><em style="margin: 0px; padding: 0px; font-size: 12pt;">鍚戦噺</em><span style="margin: 0px; padding: 0px; font-size: 12pt;">鍜?/span><em style="margin: 0px; padding: 0px; font-size: 12pt;">鐐?/em><span style="margin: 0px; padding: 0px; font-size: 12pt;">鐨勮〃杈撅紝鎴戜滑鍙互鐪嬪嚭涓轟簡鍦ㄥ潗鏍囩郴涓〃紺轟竴涓?/span><em style="margin: 0px; padding: 0px; font-size: 12pt;">鐐?/em><span style="margin: 0px; padding: 0px; font-size: 12pt;">錛堝</span>p<span style="margin: 0px; padding: 0px; font-size: 12pt;">錛夛紝鎴戜滑鎶婄偣鐨勪綅緗湅浣滄槸瀵硅繖涓熀鐨勫師鐐?/span>o<span style="margin: 0px; padding: 0px; font-size: 12pt;">鎵�榪涜鐨勪竴涓綅縐伙紝鍗充竴涓悜閲?#8212;&#8212;</span>p &#8211; o<span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">錛堟湁鐨勪功涓妸榪欐牱鐨勫悜閲忓彨鍋?em style="margin: 0px; padding: 0px;">浣嶇疆鍚戦噺</em>&#8212;&#8212;璧峰浜庡潗鏍囧師鐐圭殑鐗規畩鍚戦噺錛夛紝鎴戜滑鍦ㄨ〃杈捐繖涓悜閲忕殑鍚屾椂鐢ㄧ瓑浠風殑鏂瑰紡琛ㄨ揪鍑轟簡鐐?/span>p錛?strong style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px;">p&nbsp;</span></strong><span style="margin: 0px; padding: 0px;">=&nbsp;<strong style="margin: 0px; padding: 0px;">o</strong>&nbsp;+ p1&nbsp;<strong style="margin: 0px; padding: 0px;">a +&nbsp;</strong>p2&nbsp;<strong style="margin: 0px; padding: 0px;">b</strong>&nbsp;+ p3&nbsp;<strong style="margin: 0px; padding: 0px;">c (3)</strong></span></p><p style=" padding: 0px; font-size: 13px;">&nbsp;</p><p style=" padding: 0px; font-size: 13px;"><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">(1)(3)</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">鏄潗鏍囩郴涓嬭〃杈句竴涓?/span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;"><em style="margin: 0px; padding: 0px;">鍚戦噺</em>鍜?em style="margin: 0px; padding: 0px;">鐐?/em>鐨勪笉鍚岃〃杈炬柟寮忋�傝繖閲屽彲浠ョ湅鍑猴紝铏界劧閮芥槸鐢ㄤ唬鏁板垎閲忕殑褰㈠紡琛ㄨ揪鍚戦噺鍜岀偣錛屼絾琛ㄨ揪涓�涓偣姣斾竴涓悜閲忛渶瑕侀澶栫殑淇℃伅銆傚鏋滄垜鍐欏嚭涓�涓唬鏁板垎閲忚〃杈?/span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">(1, 4, 7)</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">錛岃皝鐭ラ亾瀹冩槸涓悜閲忚繕鏄釜鐐癸紒</span></p><p style=" padding: 0px; font-size: 13px;"><span style="margin: 0px; padding: 0px; font-family: 瀹嬩綋;"><span style="margin: 0px; padding: 0px;">&nbsp;&nbsp;&nbsp;&nbsp;<span style="margin: 0px; padding: 0px; font-size: 12pt;">鎴戜滑鐜板湪鎶婏紙</span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">1</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt;">錛夛紙</span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">3</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt;">錛夊啓鎴愮煩闃電殑褰㈠紡錛?span style="margin: 0px; padding: 0px; font-size: 12pt; color: red;">v = (v1 v2 v3 0)&nbsp;X&nbsp;(a b c o)</span></span></span></span></p><p style=" padding: 0px; font-size: 13px; line-height: 19.5px;"><span style="margin: 0px; padding: 0px; font-family: 瀹嬩綋;"><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; color: red;"><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">p = (p1 p2 p3 1) X (a b c o),</span></span></span></span><span style="margin: 0px; padding: 0px; font-size: 12pt;">榪欓噷</span><strong style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">(a,b,c,o)</span></span></strong><span style="margin: 0px; padding: 0px; font-size: 12pt;">鏄潗鏍囧熀鐭╅樀錛屽彸杈圭殑鍒楀悜閲忓垎鍒槸鍚戦噺</span><strong style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">v</span></span></strong><span style="margin: 0px; padding: 0px; font-size: 12pt;">鍜岀偣</span><strong style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">p</span></span></strong><span style="margin: 0px; padding: 0px; font-size: 12pt;">鍦ㄥ熀涓嬬殑鍧愭爣銆?/span></span><span style="margin: 0px; padding: 0px; font-size: 12pt;">榪欐牱錛屽悜閲忓拰鐐瑰湪鍚屼竴涓熀涓嬪氨鏈変簡涓嶅悓鐨勮〃杈撅細<em style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">3D</span></span></em><em style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">鍚戦噺</span></em><span style="margin: 0px; padding: 0px; font-size: 12pt;">鐨勭</span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">4</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt;">涓唬鏁板垎閲忔槸</span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">0</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt;">錛岃�?/span><em style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">3D</span></span></em><em style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">鐐?/span></em><span style="margin: 0px; padding: 0px; font-size: 12pt;">鐨勭</span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">4</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt;">涓唬鏁板垎閲忔槸</span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">1</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt;">銆傚儚榪欑榪欑鐢?/span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">4</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt;">涓唬鏁板垎閲忚〃紺?/span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">3D</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt;">鍑犱綍姒傚康鐨勬柟寮忔槸涓�縐嶉綈嬈″潗鏍囪〃紺恒�?/span></span></span></span></p><p style=" padding: 0px; font-size: 13px; line-height: 19.5px;">&nbsp;</p><p style=" padding: 0px; font-size: 13px; line-height: 19.5px;"><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">榪欐牱錛屼笂闈㈢殑</span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">(1, 4, 7)</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">濡傛灉鍐欐垚錛?/span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">1,4,7,0</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">錛夛紝瀹冨氨鏄釜鍚戦噺錛涘鏋滄槸</span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">(1,4,7,1)</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">錛屽畠灝辨槸涓偣銆?/span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">涓嬮潰鏄浣曞湪鏅�氬潗鏍?/span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">(Ordinary Coordinate)</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">鍜岄綈嬈″潗鏍?/span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">(Homogeneous Coordinate)</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">涔嬮棿榪涜杞崲錛?/span></p><p style=" padding: 0px; font-size: 13px; line-height: 19.5px;"><span style="margin: 0px; padding: 0px; font-family: 瀹嬩綋;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">(1)</span><span style="margin: 0px; padding: 0px; font-size: 12pt; color: red;">浠庢櫘閫氬潗鏍囪漿鎹㈡垚榻愭鍧愭爣鏃?/span></span></p><p style=" padding: 0px; font-size: 13px; line-height: 19.5px;"><span style="margin: 0px; padding: 0px; font-family: 瀹嬩綋;">&nbsp;&nbsp;&nbsp;</span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">濡傛灉</span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">(x,y,z)</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">鏄釜鐐癸紝鍒欏彉涓?/span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">(x,y,z,1);</span></span></p><p style=" padding: 0px; font-size: 13px; line-height: 19.5px;"><span style="margin: 0px; padding: 0px; font-family: 瀹嬩綋;">&nbsp;&nbsp;&nbsp;</span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">濡傛灉</span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">(x,y,z)</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">鏄釜鍚戦噺錛屽垯鍙樹負</span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">(x,y,z,0)</span></span></p><p style=" padding: 0px; font-size: 13px; line-height: 19.5px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">(2)<span style="margin: 0px; padding: 0px; font-family: 瀹嬩綋;"><span style="margin: 0px; padding: 0px; color: red;"><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">浠庨綈嬈″潗鏍囪漿鎹㈡垚鏅�氬潗鏍囨椂</span></span></span></span></span></span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-family: 瀹嬩綋;">&nbsp;&nbsp;&nbsp;</span></span></p><p style=" padding: 0px; font-size: 13px; line-height: 19.5px;"><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-family: 瀹嬩綋;">&nbsp;&nbsp;&nbsp;<span style="margin: 0px; padding: 0px; font-size: 12pt;">濡傛灉鏄?/span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">(x,y,z,1)</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt;">錛屽垯鐭ラ亾瀹冩槸涓偣錛屽彉鎴?/span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">(x,y,z);</span></span></span></span></p><p style=" padding: 0px; font-size: 13px; line-height: 19.5px;"><span style="margin: 0px; padding: 0px; font-family: 瀹嬩綋;">&nbsp;&nbsp;&nbsp;</span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">濡傛灉鏄?/span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">(x,y,z,0)</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">錛屽垯鐭ラ亾瀹冩槸涓悜閲忥紝浠嶇劧鍙樻垚</span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">(x,y,z)</span></span></p><p style=" padding: 0px; font-size: 13px; line-height: 19.5px;">&nbsp;</p><p style=" padding: 0px; font-size: 13px; line-height: 19.5px;"><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">浠ヤ笂鏄�氳繃榻愭鍧愭爣鏉ュ尯鍒嗗悜閲忓拰鐐圭殑鏂瑰紡銆備粠涓彲浠ユ�濊�冨緱鐭ワ紝瀵逛簬騫崇Щ</span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">T</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">銆佹棆杞?/span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">R</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">銆佺緝鏀?/span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">S</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">榪?/span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">3</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">涓渶甯歌鐨勪豢灝勫彉鎹紝騫崇Щ鍙樻崲鍙浜庣偣鎵嶆湁鎰忎箟錛屽洜涓烘櫘閫氬悜閲忔病鏈変綅緗蹇碉紝鍙湁澶у皬鍜屾柟鍚?</span></span></p><p style=" padding: 0px; font-size: 13px; line-height: 19.5px;">&nbsp;</p><p style=" padding: 0px; font-size: 13px; line-height: 19.5px;"><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-family: 瀹嬩綋;"><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">鑰屾棆杞拰緙╂斁瀵逛簬鍚戦噺鍜岀偣閮芥湁鎰忎箟錛屼綘鍙互鐢ㄧ被浼間笂闈㈤綈嬈¤〃紺烘潵媯�嫻嬨�備粠涓彲浠ョ湅鍑猴紝榻愭鍧愭爣鐢ㄤ簬浠垮皠鍙樻崲闈炲父鏂逛究銆?/span></span></span></span></p><p style=" padding: 0px; font-size: 13px; line-height: 19.5px; font-family: 寰蔣闆呴粦, verdana, &quot;ms song&quot;, 瀹嬩綋, Arial, Helvetica, sans-serif; background-color: #f6e497;">&nbsp;</p><p style=" padding: 0px; font-size: 13px; line-height: 19.5px; font-family: 寰蔣闆呴粦, verdana, &quot;ms song&quot;, 瀹嬩綋, Arial, Helvetica, sans-serif; background-color: #f6e497;"><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-family: 瀹嬩綋;"><span style="margin: 0px; padding: 0px; color: red;"><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">姝ゅ錛屽浜庝竴涓櫘閫氬潗鏍囩殑</span><span style="margin: 0px; padding: 0px; font-size: 12pt;"><em style="margin: 0px; padding: 0px;">鐐?/em></span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">P=(Px, Py, Pz)</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt;">錛屾湁瀵瑰簲鐨勪竴鏃忛綈嬈″潗鏍?/span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">(wPx, wPy, wPz, w)</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt;">錛屽叾涓?/span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">w</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt;">涓嶇瓑浜庨浂</span></span></span></span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">銆傛瘮濡傦紝</span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">P(1, 4, 7)</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">鐨勯綈嬈″潗</span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">鏍囨湁</span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">(1, 4, 7, 1)</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt; font-family: 瀹嬩綋;">銆侊紙</span><span style="margin: 0px; padding: 0px;"><span style="margin: 0px; padding: 0px; font-size: 12pt;">2, 8, 14, 2</span></span><span style="margin: 0px; padding: 0px; font-size: 12pt; f                                                                   <footer>
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