📄 sxsy05_21.mht
字号:
125%;font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-f=
ont-family:
"Times New Roman"'>的</span><span lang=3DEN-US style=3D'mso-bidi-font=
-size:
10.5pt;line-height:125%'>4</span><span style=3D'mso-bidi-font-size:10.5pt;
line-height:125%;font-family:SimSun;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>次<span class=3DGramE>७=
0;</span>,</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-height:125%'><o:p></o:=
p></span></p>
<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;mso-layout-grid-=
align:
none;text-autospace:none;vertical-align:middle'><span style=3D'mso-bidi-fon=
t-size:
10.5pt;font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi=
-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-bidi-font-weight:bold'>解&=
#65306;</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;mso-font-kerning:0pt;mso-bi=
di-font-weight:
bold'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1037" type=3D"#_x0000_t75" =
style=3D'width:138pt;
height:15.75pt'>
<v:imagedata src=3D"sxsy05_211.files/image021.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D184 height=3D21
src=3D"sxsy05_211.files/image022.gif" v:shapes=3D"_x0000_i1037"><![endif]><=
o:p></o:p></span></p>
<p class=3DMsoNormal style=3D'text-indent:21.0pt;mso-char-indent-count:2.0;
line-height:125%;vertical-align:middle'><span lang=3DEN-US style=3D'mso-bid=
i-font-size:
10.5pt;line-height:125%;mso-font-kerning:0pt'><!--[if gte vml 1]><v:shape i=
d=3D"_x0000_i1038"
type=3D"#_x0000_t75" style=3D'width:351.75pt;height:26.25pt'>
<v:imagedata src=3D"sxsy05_211.files/image023.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D469 height=3D35
src=3D"sxsy05_211.files/image024.gif" v:shapes=3D"_x0000_i1038"><![endif]><=
/span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-height:125%'><o:p></o:=
p></span></p>
<p class=3DMsoNormal style=3D'text-indent:21.0pt;mso-char-indent-count:2.0;
line-height:125%;vertical-align:middle'><span style=3D'mso-bidi-font-size:1=
0.5pt;
line-height:125%;font-family:SimSun;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>如果事先&#=
23450;义了</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-height:125%'>f[x]</spa=
n><span
style=3D'mso-bidi-font-size:10.5pt;line-height:125%;font-family:SimSun;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro=
man"'>,则展开式就是我Ê=
04;所需的特定展开式,=
如:</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-height:125%'><o:p></o:=
p></span></p>
<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;text-indent:24.0=
pt;
mso-layout-grid-align:none;text-autospace:none'><b><span lang=3DEN-US
style=3D'font-size:12.0pt;mso-font-kerning:0pt'><!--[if gte vml 1]><v:shape=
id=3D"_x0000_i1039"
type=3D"#_x0000_t75" style=3D'width:147pt;height:15pt'>
<v:imagedata src=3D"sxsy05_211.files/image025.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D196 height=3D20
src=3D"sxsy05_211.files/image026.gif" v:shapes=3D"_x0000_i1039"><![endif]><=
o:p></o:p></span></b></p>
<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;text-indent:24.0=
pt;
mso-layout-grid-align:none;text-autospace:none'><b><span lang=3DEN-US
style=3D'font-size:12.0pt;mso-font-kerning:0pt'><!--[if gte vml 1]><v:shape=
id=3D"_x0000_i1040"
type=3D"#_x0000_t75" style=3D'width:138pt;height:15pt'>
<v:imagedata src=3D"sxsy05_211.files/image027.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D184 height=3D20
src=3D"sxsy05_211.files/image028.gif" v:shapes=3D"_x0000_i1040"><![endif]><=
o:p></o:p></span></b></p>
<p class=3DMsoNormal style=3D'text-indent:24.0pt;mso-char-indent-count:2.0;
line-height:125%;vertical-align:middle'><span lang=3DEN-US style=3D'font-si=
ze:12.0pt;
line-height:125%;mso-font-kerning:0pt'><!--[if gte vml 1]><v:shape id=3D"_x=
0000_i1041"
type=3D"#_x0000_t75" style=3D'width:239.25pt;height:29.25pt'>
<v:imagedata src=3D"sxsy05_211.files/image029.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D319 height=3D39
src=3D"sxsy05_211.files/image030.gif" v:shapes=3D"_x0000_i1041"><![endif]><=
/span></p>
<p class=3DMsoNormal style=3D'text-indent:21.0pt'><span style=3D'mso-bidi-f=
ont-size:
10.5pt;font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi=
-font-family:
"Times New Roman"'>例</span><span lang=3DEN-US style=3D'mso-bidi-font=
-size:
10.5pt'>3</span><span style=3D'mso-bidi-font-size:10.5pt;font-family:SimSun;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro=
man"'>:将函数</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt'><sub><!--[if gte vml 1]><v=
:shape
id=3D"_x0000_i1042" type=3D"#_x0000_t75" style=3D'width:108.75pt;height:15=
.75pt'
o:ole=3D"">
<v:imagedata src=3D"sxsy05_211.files/image031.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D145 height=3D21
src=3D"sxsy05_211.files/image032.gif" v:shapes=3D"_x0000_i1042"><![endif]><=
/sub><!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
042"
DrawAspect=3D"Content" ObjectID=3D"_1242320245">
</o:OLEObject>
</xml><![endif]--></span><span style=3D'mso-bidi-font-size:10.5pt;font-fami=
ly:
SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times=
New Roman"'>展开成幂级数,ࠥ=
1;于</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt'><sub><!--[if gte vml 1]><v=
:shape
id=3D"_x0000_i1043" type=3D"#_x0000_t75" style=3D'width:9.75pt;height:11.2=
5pt'
o:ole=3D"">
<v:imagedata src=3D"sxsy05_211.files/image033.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D13 height=3D15
src=3D"sxsy05_211.files/image010.gif" v:shapes=3D"_x0000_i1043"><![endif]><=
/sub><!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
043"
DrawAspect=3D"Content" ObjectID=3D"_1242320246">
</o:OLEObject>
</xml><![endif]--></span><span style=3D'mso-bidi-font-size:10.5pt;font-fami=
ly:
SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times=
New Roman"'>展开到</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt'>4</span><span style=3D'mso=
-bidi-font-size:
10.5pt;font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi=
-font-family:
"Times New Roman"'>次<span class=3DGramE>幂</span>,Ð=
51;于</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt'><sub><!--[if gte vml 1]><v=
:shape
id=3D"_x0000_i1044" type=3D"#_x0000_t75" style=3D'width:11.25pt;height:12.=
75pt'
o:ole=3D"">
<v:imagedata src=3D"sxsy05_211.files/image034.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D15 height=3D17
src=3D"sxsy05_211.files/image006.gif" v:shapes=3D"_x0000_i1044"><![endif]><=
/sub><!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
044"
DrawAspect=3D"Content" ObjectID=3D"_1242320247">
</o:OLEObject>
</xml><![endif]--></span><span style=3D'mso-bidi-font-size:10.5pt;font-fami=
ly:
SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times=
New Roman"'>展开到</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt'>6</span><span style=3D'mso=
-bidi-font-size:
10.5pt;font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi=
-font-family:
"Times New Roman"'>次<span class=3DGramE>幂</span>。</spa=
n><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt'><o:p></o:p></span></p>
<p class=3DMsoNormal style=3D'vertical-align:middle'><span style=3D'mso-bid=
i-font-size:
10.5pt;font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi=
-font-family:
"Times New Roman"'>解:</span><b><span lang=3DEN-US style=3D'ms=
o-bidi-font-size:
10.5pt;mso-font-kerning:0pt'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1045"
type=3D"#_x0000_t75" style=3D'width:266.25pt;height:15.75pt'>
<v:imagedata src=3D"sxsy05_211.files/image035.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D355 height=3D21
src=3D"sxsy05_211.files/image036.gif" v:shapes=3D"_x0000_i1045"><![endif]><=
o:p></o:p></span></b></p>
<p class=3DMsoNormal style=3D'text-indent:15.75pt;vertical-align:middle'><s=
pan
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;mso-font-kerning:0pt'><!--[=
if gte vml 1]><v:shape
id=3D"_x0000_i1046" type=3D"#_x0000_t75" style=3D'width:404.25pt;height:29=
.25pt'>
<v:imagedata src=3D"sxsy05_211.files/image037.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D539 height=3D39
src=3D"sxsy05_211.files/image038.gif" v:shapes=3D"_x0000_i1046"><![endif]><=
/span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt'><o:p></o:p></span></p>
<p class=3DMsoNormal style=3D'text-indent:21.0pt'><span style=3D'mso-bidi-f=
ont-size:
10.5pt;font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi=
-font-family:
"Times New Roman"'>(二)傅立叶级=
数</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt'><o:p></o:p></span></p>
<p class=3DMsoNormal style=3D'text-indent:21.0pt'><span style=3D'font-famil=
y:SimSun;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro=
man"'>要把一个函数展开û=
04;傅立叶级数,主要就=
是计算傅立叶系数,=
3454;际就是计算定积分ᦁ=
2;根据傅立叶系数的公&=
#24335;,我们知道:</span></p>
<p class=3DMsoNormal style=3D'text-indent:42.0pt;mso-char-indent-count:4.0'=
><span
lang=3DEN-US><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1047" type=3D"#=
_x0000_t75"
style=3D'width:87.75pt;height:30.75pt' o:ole=3D"">
<v:imagedata src=3D"sxsy05_211.files/image039.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D117 height=3D41
src=3D"sxsy05_211.files/image040.gif" v:shapes=3D"_x0000_i1047"><![endif]><=
/sub><!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1047"
DrawAspect=3D"Content" ObjectID=3D"_1242320248">
</o:OLEObject>
</xml><![endif]--><span style=3D'mso-spacerun:yes'> </span></span><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>,</span><span lang=3DEN-US><sub><!--[if gte vml 1=
]><v:shape
id=3D"_x0000_i1048" type=3D"#_x0000_t75" style=3D'width:119.25pt;height:30=
.75pt'
o:ole=3D"">
<v:imagedata src=3D"sxsy05_211.files/image041.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D159 height=3D41
src=3D"sxsy05_211.files/image042.gif" v:shapes=3D"_x0000_i1048"><![endif]><=
/sub><!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1048"
DrawAspect=3D"Content" ObjectID=3D"_1242320249">
</o:OLEObject>
</xml><![endif]--> </span><span style=3D'font-family:SimSun;mso-ascii-font-=
family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>,</span><=
span
lang=3DEN-US><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1049" type=3D"#=
_x0000_t75"
style=3D'width:116.25pt;height:30.75pt' o:ole=3D"">
<v:imagedata src=3D"sxsy05_211.files/image043.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D155 height=3D41
src=3D"sxsy05_211.files/image044.gif" v:shapes=3D"_x0000_i1049"><![endif]><=
/sub><!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1049"
DrawAspect=3D"Content" ObjectID=3D"_1242320250">
</o:OLEObject>
</xml><![endif]--></span></p>
<p class=3DMsoNormal style=3D'text-indent:21.0pt;mso-char-indent-count:2.0;
vertical-align:middle'><span style=3D'mso-bidi-font-size:10.5pt;font-family=
:SimSun;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro=
man"'>因此我们容易用</span><span
class=3DSpellE><span lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt'>Mathe=
matica</span></span><span
style=3D'mso-bidi-font-size:10.5pt;font-family:SimSun;mso-ascii-font-family=
:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>软件来进&#=
34892;计算,我们首先来ê=
50;义</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt'><!--[if gte vml 1]><v:shap=
e id=3D"_x0000_i1050"
type=3D"#_x0000_t75" style=3D'width:14.25pt;height:18pt' o:ole=3D"">
<v:imagedata src=3D"sxsy05_211.files/image045.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D19 height=3D24
src=3D"sxsy05_211.files/image046.gif" v:shapes=3D"_x0000_i1050"><![endif]><=
!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
050"
DrawAspect=3D"Content" ObjectID=3D"_1242320251">
</o:OLEObject>
</xml><![endif]--></span><span style=3D'mso-bidi-font-size:10.5pt;font-fami=
ly:
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