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📄 第五节 用mathematica进行向量运算和作图.htm

📁 Mathematica软件包的介绍
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      <P class=MsoNormal style="line-height: 200%"><SPAN      
      lang=EN-US><font size="4"><b>ParametricPlot[{fx,fy},{t,tmin,tmax}]</b></font></SPAN></P></TD>     
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    style="BORDER-BOTTOM: windowtext 0.75pt solid; BORDER-LEFT: medium none; BORDER-RIGHT: windowtext 0.75pt solid; BORDER-TOP: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm; WIDTH: 231.7pt; mso-border-left-alt: solid windowtext .75pt; mso-border-top-alt: solid windowtext .75pt"      
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      <P class=MsoNormal style="line-height: 200%"><SPAN      
      style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'"><font size="4"><b>绘制参数函数图形</b></font></SPAN></P></TD></TR>     
  <TR>     
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    style="BORDER-BOTTOM: windowtext 0.75pt solid; BORDER-LEFT: windowtext 0.75pt solid; BORDER-RIGHT: windowtext 0.75pt solid; BORDER-TOP: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm; WIDTH: 194.4pt; mso-border-top-alt: solid windowtext .75pt"      
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      <P class=MsoNormal style="line-height: 200%"><SPAN lang=EN-US><b><font size="4">ParametricPlot[{{fx,fy}</font></b></SPAN><b><font size="4"><SPAN      
      style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">，</SPAN><SPAN      
      lang=EN-US>{gx,gy},…},{t,tmin,tmax}]</SPAN></font></b></P></TD>     
    <TD      
    style="BORDER-BOTTOM: windowtext 0.75pt solid; BORDER-LEFT: medium none; BORDER-RIGHT: windowtext 0.75pt solid; BORDER-TOP: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm; WIDTH: 231.7pt; mso-border-left-alt: solid windowtext .75pt; mso-border-top-alt: solid windowtext .75pt"      
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      <P class=MsoNormal style="line-height: 200%"><SPAN      
      style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'"><font size="4"><b>绘制一系列参数函数图形</b></font></SPAN></P></TD></TR></TBODY></TABLE>     
<P class=MsoNormal style="text-indent: 17.95pt; line-height: 200%"><font size="4"><b><SPAN      
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">在使用</SPAN><SPAN      
lang=EN-US>Mathematica</SPAN><SPAN      
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">绘图时，可以选这一系列参数，按照不同需要绘制图形。下表列举了函数</SPAN><SPAN      
lang=EN-US>Plot</SPAN><SPAN      
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">和</SPAN><SPAN      
lang=EN-US>Show</SPAN><SPAN      
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">的一些常见选项：</SPAN></b></font></P>     
<TABLE border=1 cellPadding=0 cellSpacing=0      
style="border-collapse: collapse; mso-table-layout-alt: fixed; mso-border-alt: solid windowtext .75pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; border-style: none; border-width: medium" width="622">     
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    <TD      
    style="border: 0.75pt solid windowtext; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; padding-bottom: 0cm"      
    vAlign=top width=189>     
      <P class=MsoNormal style="line-height: 200%"><SPAN      
      style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'"><font size="4"><b>参数</b></font></SPAN></P></TD>     
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    style="mso-border-left-alt: solid windowtext .75pt; border-left-style: none; border-left-width: medium; border-right: 0.75pt solid windowtext; border-top: 0.75pt solid windowtext; border-bottom: 0.75pt solid windowtext; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; padding-bottom: 0cm"      
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      <P class=MsoNormal style="line-height: 200%"><SPAN      
      style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'"><font size="4"><b>默认值</b></font></SPAN></P></TD>     
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    style="mso-border-left-alt: solid windowtext .75pt; border-left-style: none; border-left-width: medium; border-right: 0.75pt solid windowtext; border-top: 0.75pt solid windowtext; border-bottom: 0.75pt solid windowtext; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; padding-bottom: 0cm"      
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      <P class=MsoNormal style="line-height: 200%"><SPAN      
      style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'"><font size="4"><b>含义</b></font></SPAN></P></TD></TR>     
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      <P class=MsoNormal style="line-height: 200%"><SPAN lang=EN-US><font size="4"><b>Axes</b></font></SPAN></P></TD>     
    <TD      
    style="mso-border-left-alt: solid windowtext .75pt; mso-border-top-alt: solid windowtext .75pt; border-left-style: none; border-left-width: medium; border-right: 0.75pt solid windowtext; border-top-style: none; border-top-width: medium; border-bottom: 0.75pt solid windowtext; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; padding-bottom: 0cm"      
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      <P class=MsoNormal style="line-height: 200%"><SPAN lang=EN-US><font size="4"><b>True</b></font></SPAN></P></TD>     
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      <P class=MsoNormal style="line-height: 200%"><SPAN      
      style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'"><font size="4"><b>是否包含坐标轴</b></font></SPAN></P></TD></TR>     
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    style="mso-border-top-alt: solid windowtext .75pt; border-left: 0.75pt solid windowtext; border-right: 0.75pt solid windowtext; border-top-style: none; border-top-width: medium; border-bottom: 0.75pt solid windowtext; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; padding-bottom: 0cm"      
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      <P class=MsoNormal style="line-height: 200%"><SPAN lang=EN-US><font size="4"><b>AxesLabel</b></font></SPAN></P></TD>     
    <TD      
    style="mso-border-left-alt: solid windowtext .75pt; mso-border-top-alt: solid windowtext .75pt; border-left-style: none; border-left-width: medium; border-right: 0.75pt solid windowtext; border-top-style: none; border-top-width: medium; border-bottom: 0.75pt solid windowtext; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; padding-bottom: 0cm"      
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      <P class=MsoNormal style="line-height: 200%"><SPAN lang=EN-US><font size="4"><b>None</b></font></SPAN></P></TD>     
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    vAlign=middle width=198>     
      <P class=MsoNormal style="line-height: 200%"><SPAN      
      style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'"><b><font size="4">坐标轴增加标志</font></b></SPAN><b><font size="4"><SPAN      
      lang=EN-US>{xlable,yable}</SPAN></font></b></P></TD></TR>     
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    style="mso-border-top-alt: solid windowtext .75pt; border-left: 0.75pt solid windowtext; border-right: 0.75pt solid windowtext; border-top-style: none; border-top-width: medium; border-bottom: 0.75pt solid windowtext; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; padding-bottom: 0cm"      
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      <P class=MsoNormal style="line-height: 200%"><SPAN lang=EN-US><font size="4"><b>Frame</b></font></SPAN></P></TD>     
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    style="mso-border-left-alt: solid windowtext .75pt; mso-border-top-alt: solid windowtext .75pt; border-left-style: none; border-left-width: medium; border-right: 0.75pt solid windowtext; border-top-style: none; border-top-width: medium; border-bottom: 0.75pt solid windowtext; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; padding-bottom: 0cm"      
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      <P class=MsoNormal style="line-height: 200%"><SPAN lang=EN-US><font size="4"><b>False</b></font></SPAN></P></TD>     
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      <P class=MsoNormal style="line-height: 200%"><SPAN lang=EN-US><font size="4"><b>是否在图形周围画边框</b></font></SPAN></P></TD></TR>     
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    style="mso-border-top-alt: solid windowtext .75pt; border-left: 0.75pt solid windowtext; border-right: 0.75pt solid windowtext; border-top-style: none; border-top-width: medium; border-bottom: 0.75pt solid windowtext; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; padding-bottom: 0cm"      
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      <p:colorscheme 
 colors="#FBFAE2,#402000,#A08366,#996633,#CE9964,#CD3333,#9A7F32,#ECA07A"/> 
      <p class="MsoNormal" style="line-height: 200%"><SPAN lang=EN-US><font size="4"><b>PlotLabel</b></font></SPAN></TD>    
    <TD     
    style="mso-border-left-alt: solid windowtext .75pt; mso-border-top-alt: solid windowtext .75pt; border-left-style: none; border-left-width: medium; border-right: 0.75pt solid windowtext; border-top-style: none; border-top-width: medium; border-bottom: 0.75pt solid windowtext; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; padding-bottom: 0cm"     
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      <p class="MsoNormal" style="line-height: 200%"><SPAN lang=EN-US><font size="4"><b>None</b></font></SPAN></TD>    
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      <p class="MsoNormal" style="line-height: 200%"><SPAN lang=EN-US><font size="4"><b>给图形加上标题</b></font></SPAN></TD></TR>    
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    <TD     
    style="mso-border-top-alt: solid windowtext .75pt; border-left: 0.75pt solid windowtext; border-right: 0.75pt solid windowtext; border-top-style: none; border-top-width: medium; border-bottom: 0.75pt solid windowtext; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; padding-bottom: 0cm"     
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      <p class="MsoNormal" style="line-height: 200%"><SPAN lang=EN-US><font size="4"><b>PlotRange</b></font></SPAN></TD>    
    <TD     
    style="mso-border-left-alt: solid windowtext .75pt; mso-border-top-alt: solid windowtext .75pt; border-left-style: none; border-left-width: medium; border-right: 0.75pt solid windowtext; border-top-style: none; border-top-width: medium; border-bottom: 0.75pt solid windowtext; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; padding-bottom: 0cm"     
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      <p class="MsoNormal" style="line-height: 200%"><font size="4"><b>　</b></font></TD>    
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      <p class="MsoNormal" style="line-height: 200%"><font size="4"><b>指定函数值区间</b></font>{y1,y2}</TD></TR>    
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