📄 第五节 用mathematica进行向量运算和作图.htm
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style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">）</SPAN></b></font></P>
<P class=MsoNormal style="text-indent: 17.95pt; line-height: 200%"><SPAN lang=EN-US><font size="4"><b>Out[8]=<SPAN
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<P class=MsoNormal style="text-indent: 17.95pt; line-height: 200%"><font size="4"><b><SPAN
lang=EN-US>In[9]:=Sqrt[b.b]<SPAN
style="mso-spacerun: yes">
</SPAN></SPAN><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>*</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">计算向量</SPAN><SPAN
lang=EN-US>b</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">的模</SPAN><SPAN
lang=EN-US>*</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">）</SPAN></b></font></P>
<P class=MsoNormal style="text-indent: 17.95pt; line-height: 200%"><SPAN lang=EN-US><font size="4"><b>Out[9]= <SPAN
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<P class=MsoNormal style="text-indent: 17.95pt; line-height: 200%"><font size="4"><b><SPAN lang=EN-US>In[10]:=c = a.b/(Sqrt[a.a]*Sqrt[b.b]) // N<SPAN
style="mso-spacerun: yes"> <br>
</SPAN></SPAN><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>*</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">计算向量</SPAN><SPAN
lang=EN-US>a</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">与</SPAN><SPAN
lang=EN-US>b</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">的夹角余弦</SPAN><SPAN
lang=EN-US>*</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">）</SPAN></b></font></P>
<P class=MsoNormal style="text-indent: 17.95pt; line-height: 200%"><SPAN
lang=EN-US><font size="4"><b>Out[10]=-0.409091</b></font></SPAN></P>
<P class=MsoNormal style="text-indent: 17.95pt; line-height: 200%"><font size="4"><b><SPAN
lang=EN-US>In[11]:=ArcCos[c]<SPAN
style="mso-spacerun: yes">
</SPAN></SPAN><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>*</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">计算向量</SPAN><SPAN
lang=EN-US>a</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">与</SPAN><SPAN
lang=EN-US>b</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">的夹角</SPAN><SPAN
lang=EN-US>*</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">）</SPAN></b></font></P>
<P class=MsoNormal style="text-indent: 17.95pt; line-height: 200%"><SPAN
lang=EN-US><font size="4"><b>Out[11]=1.99225</b></font></SPAN></P>
<P class=MsoNormal style="text-indent: 17.95pt; line-height: 200%"> </P>
<P class=MsoNormal style="text-indent: 17.95pt; line-height: 200%"> </P>
<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" color="#000080"><b>二、<a name="函数作图">函数作图</a></b></font></SPAN></P>
<P class=MsoNormal style="text-indent: 17.95pt; line-height: 200%"><SPAN
lang=EN-US><b><font size="4">Mathematica</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'">不仅可以绘制各种二维图形，包括等值线图等，而且能绘制精美的三维图形，实时显示动画，支持多种格式图形的输入和输出。以下给出<font color="#FF0000">二维函数</font>作图命令：</SPAN></font></b></P>
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style="BORDER-BOTTOM: medium none; BORDER-COLLAPSE: collapse; BORDER-LEFT: medium none; BORDER-RIGHT: medium none; BORDER-TOP: medium none; mso-table-layout-alt: fixed; mso-border-alt: solid windowtext .75pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt">
<TBODY>
<TR>
<TD
style="BORDER-BOTTOM: windowtext 0.75pt solid; BORDER-LEFT: windowtext 0.75pt solid; BORDER-RIGHT: windowtext 0.75pt solid; BORDER-TOP: windowtext 0.75pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm; WIDTH: 194.4pt"
vAlign=top width=259>
<P align=center class=MsoNormal style="text-align: center; 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>函数</b></font></SPAN></P></TD>
<TD
style="BORDER-BOTTOM: windowtext 0.75pt solid; BORDER-LEFT: medium none; BORDER-RIGHT: windowtext 0.75pt solid; BORDER-TOP: windowtext 0.75pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm; WIDTH: 231.7pt; mso-border-left-alt: solid windowtext .75pt"
vAlign=top width=309>
<P align=center class=MsoNormal style="text-align: center; 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>命令</b></font></SPAN></P></TD></TR>
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<TD
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vAlign=top width=259>
<P class=MsoNormal style="line-height: 200%"><SPAN lang=EN-US><font size="4"><b>Point[{x,y}]</b></font></SPAN></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"
vAlign=top width=309>
<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">点</font></b></SPAN><b><font size="4"><SPAN
lang=EN-US>(x,y)</SPAN></font></b></P></TD></TR>
<TR>
<TD
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"
vAlign=top width=259>
<P class=MsoNormal style="line-height: 200%"><SPAN lang=EN-US><font size="4"><b>Line[{x1,y1},{x2,y2},…</b></font></SPAN></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"
vAlign=top width=309>
<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">连接（</font></b></SPAN><b><font size="4"><SPAN
lang=EN-US>xi,yi</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'; mso-ascii-font-family: 'Times New Roman'">）各点</SPAN></font></b></P></TD></TR>
<TR>
<TD
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"
vAlign=top width=259>
<P class=MsoNormal style="line-height: 200%"><SPAN
lang=EN-US><font size="4"><b>Rectangle[{xmin,ymin},{xmax,ymax}]</b></font></SPAN></P></TD>
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