📄 ch11_1_2.htm
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<! Made by Html Translation Ver 1.0><html><head><title> 数学式的化简 </title></head><body BACKGROUND="../img1/bg0000.gif" tppabs="http://webclass.ncu.edu.tw/~junwu/img/bg0000.gif"><script language="JAVASCRIPT"><!--if (navigator.onLine){document.write("<!-- Spidersoft WebZIP Ad Banner Insert -->");document.write("<TABLE width=100% border=0 cellpadding=0 cellspacing=0>");document.write("<TR>");document.write("<TD>");document.write("<ILAYER id=ad1 visibility=hidden height=60></ILAYER>");document.write("<NOLAYER>");document.write("<IFRAME SRC='http://www.spidersoft.com/ads/bwz468_60.htm' width=100% height=60 marginwidth=0 marginheight=0 hspace=0 vspace=0 frameborder=0 scrolling=no></IFRAME>");document.write("</NOLAYER>");document.write("</TD>");document.write("</TR>");document.write("</TABLE>");document.write("<!-- End of Spidersoft WebZIP Ad Banner Insert-->");} //--></script><!-- Spidersoft WebZIP Ad Banner Insert --><!-- End of Spidersoft WebZIP Ad Banner Insert--><font COLOR="#0000FF"><h1>11.1.2 数学式的化简</h1></font><hr><p>以下的函数适用来简化数学式，如展开、化简或聚集数学式。相关的指令有： </p><p><font COLOR="#FF0000" FACE="Times New Roman">collect(S)</font> 聚集<font COLOR="#FF0000" FACE="Times New Roman">S</font>的系数 </p><p><font COLOR="#FF0000" FACE="Times New Roman">collect(S,</font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">v</font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">)</font> 聚集<font COLOR="#FF0000" FACE="Times New Roman">S</font>的系数，是以<font COLOR="#FF0000" FACE="Times New Roman">v</font>为独立变数 </p><p><font COLOR="#FF0000" FACE="Times New Roman">expand(S) </font>将<font COLOR="#FF0000" FACE="Times New Roman">S</font>表示式展开 </p><p><font COLOR="#FF0000" FACE="Times New Roman">factor(S)</font> 还原<font COLOR="#FF0000" FACE="Times New Roman">S</font>的因式<font FACE="Times New Roman">(factorization)</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">simple(S)</font> 如果可能的话，将<font COLOR="#FF0000" FACE="Times New Roman">S</font>表示式再做简化 </p><p><font COLOR="#FF0000" FACE="Times New Roman">simplify(S)</font> 利用<font FACE="Times New Roman">Maple</font>简化法则化简<font COLOR="#FF0000" FACE="Times New Roman">S</font>表示式 <br></p><p>我们来看一些例子 </p><p><font COLOR="#FF0000" FACE="Times New Roman">>> S1 = </font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">x^3-1</font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">;</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">>> S2 = </font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">(x-3)^2+(y-4)^2</font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">;</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">>> S3 = </font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">sqrt(a^4*b^7)</font><font COLOR="#FF0000">'</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">>> S4 = </font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">14*x^2/(22*x*y)</font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">; <br></font></p><p><font COLOR="#FF0000" FACE="Times New Roman">>> factor(S1)</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">ans=</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">(x-1)*(x^2+x+1)</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">>> expand(S2)</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">ans=</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">x^2-6*x+25+y^2-8*y</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">>>collect(S2)</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">ans=</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">x^2-6*x+9+(y-4)^2</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">>>collect(S2,</font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">y</font><font COLOR="#FF0000">'</font><font COLOR="#FF0000" FACE="Times New Roman">)</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">ans=</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">y^2-8*y+(x-3)62+16</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">>>simplify(S3)</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">ans=</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">a^2*b^(7/2)</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">>>simple(S4)</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">ans=</font> </p><p><font COLOR="#FF0000" FACE="Times New Roman">7/11*x/y</font></p><hr><a HREF="ch11_1_1.htm" tppabs="http://webclass.ncu.edu.tw/~junwu/ch11_1_1.htm"><p><img SRC="../img1/lastpage.gif" tppabs="http://webclass.ncu.edu.tw/~junwu/img/lastpage.gif" BORDER="0" WIDTH="42" HEIGHT="42"></a> <a HREF="ch11_1_3.htm" tppabs="http://webclass.ncu.edu.tw/~junwu/ch11_1_3.htm"><img SRC="../img1/nextpage.gif" tppabs="http://webclass.ncu.edu.tw/~junwu/img/nextpage.gif" BORDER="0" HSPACE="10" WIDTH="42" HEIGHT="42"></a> <a HREF="../index.html" tppabs="http://webclass.ncu.edu.tw/~junwu/index.html"><img SRC="../img1/outline.gif" tppabs="http://webclass.ncu.edu.tw/~junwu/img/outline.gif" BORDER="0" HSPACE="6" WIDTH="42" HEIGHT="42"></a><br><font SIZE="2" COLOR="#AA55FF">上一页 下一页 讲义大纲 </font><layer src="http://www.spidersoft.com/ads/bwz468_60.htm" visibility="hidden" id="a1" width="600" onload="moveToAbsolute(ad1.pageX,ad1.pageY); 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