📄 第2节 龙格—库塔法.mht
字号:
=3D=20
"#_x0000_t75" coordsize =3D "21600,21600"><v:imagedata o:title=3D"" src =
=3D=20
"ch8-2.files/image003.wmz"></v:imagedata></v:shape><![endif]--><![if =
!vml]><img width=3D95 height=3D64
src=3D"ch8-2.files/image004.gif" =
v:shapes=3D"_x0000_i1026"><![endif]></SUB><!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" =
ShapeID=3D"_x0000_i1026"
DrawAspect=3D"Content" ObjectID=3D"_1207471780">
</o:OLEObject>
</xml><![endif]-->=AA=A7=AA=A7=AA=A7<o:p></o:p></SPAN></P>
<P class=3DMsoNormal style=3D"TEXT-ALIGN: left; mso-layout-grid-align: =
none"=20
align=3Dleft><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt; mso-ansi-language: ZH-CN">=D3=C9</SPAN><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt">=20
</SPAN><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt; mso-ansi-language: =
ZH-CN">=CC=A9=C0=D5=D5=B9=BF=AA=CA=BD=AA=A7=AA=A7<o:p></o:p></SPAN></P>
<P class=3DMsoNormal=20
style=3D"TEXT-INDENT: 54pt; TEXT-ALIGN: left; mso-layout-grid-align: =
none; mso-char-indent-count: 4.5"=20
align=3Dleft><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt; mso-ansi-language: ZH-CN"><SUB><!--[if gte vml =
1]><v:shape=20
id=3D_x0000_i1027 style=3D"WIDTH: 264.75pt; HEIGHT: 66pt" o:ole=3D"" =
type =3D=20
"#_x0000_t75" coordsize =3D "21600,21600"><v:imagedata o:title=3D"" src =
=3D=20
"ch8-2.files/image005.wmz"></v:imagedata></v:shape><![endif]--><![if =
!vml]><img width=3D353 height=3D88
src=3D"ch8-2.files/image006.gif" =
v:shapes=3D"_x0000_i1027"><![endif]></SUB><!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" =
ShapeID=3D"_x0000_i1027"
DrawAspect=3D"Content" ObjectID=3D"_1207471781">
</o:OLEObject>
</xml><![endif]--><SPAN=20
style=3D"mso-spacerun: =
yes"> =20
</SPAN>=A3=A81=A3=A9<SPAN=20
style=3D"mso-spacerun: =
yes"> &n=
bsp; =20
</SPAN></SPAN><SPAN lang=3DEN-US=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt"><o:p></o:p></SPAN></P>
<P class=3DMsoNormal style=3D"TEXT-ALIGN: left; mso-layout-grid-align: =
none"=20
align=3Dleft><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt; mso-ansi-language: =
ZH-CN">=AA=A7=C8=F4=C1=EE=AA=A7<o:p></o:p></SPAN></P>
<P class=3DMsoNormal=20
style=3D"TEXT-INDENT: 54pt; TEXT-ALIGN: left; mso-layout-grid-align: =
none; mso-char-indent-count: 4.5"=20
align=3Dleft><SPAN lang=3DEN-US=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt"><SUB><!--[if gte vml 1]><v:shape=20
id=3D_x0000_i1028 style=3D"WIDTH: 218.25pt; HEIGHT: 33pt" o:ole=3D"" =
type =3D=20
"#_x0000_t75" coordsize =3D "21600,21600"><v:imagedata o:title=3D"" src =
=3D=20
"ch8-2.files/image007.wmz"></v:imagedata></v:shape><![endif]--><![if =
!vml]><img width=3D291 height=3D44
src=3D"ch8-2.files/image008.gif" =
v:shapes=3D"_x0000_i1028"><![endif]></SUB><!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" =
ShapeID=3D"_x0000_i1028"
DrawAspect=3D"Content" ObjectID=3D"_1207471782">
</o:OLEObject>
</xml><![endif]--><SPAN style=3D"mso-spacerun: yes"> </SPAN><SPAN=20
style=3D"mso-spacerun: =
yes"> &n=
bsp;=20
</SPAN><SPAN style=3D"mso-spacerun: =
yes"> </SPAN>(2)</SPAN><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt; mso-ansi-language: =
ZH-CN">=AA=A7=AA=A7<o:p></o:p></SPAN></P>
<P class=3DMsoNormal style=3D"TEXT-ALIGN: left; mso-layout-grid-align: =
none"=20
align=3Dleft><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt; mso-ansi-language: =
ZH-CN">=D4=F2=AA=A7=AA=A7<o:p></o:p></SPAN></P>
<P class=3DMsoNormal=20
style=3D"TEXT-INDENT: 54pt; TEXT-ALIGN: left; mso-layout-grid-align: =
none; mso-char-indent-count: 4.5"=20
align=3Dleft><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt; mso-ansi-language: ZH-CN"><SUB><!--[if gte vml =
1]><v:shape=20
id=3D_x0000_i1029 style=3D"WIDTH: 114pt; HEIGHT: 18.75pt" o:ole=3D"" =
type =3D=20
"#_x0000_t75" coordsize =3D "21600,21600"><v:imagedata o:title=3D"" src =
=3D=20
"ch8-2.files/image009.wmz"></v:imagedata></v:shape><![endif]--><![if =
!vml]><img width=3D152 height=3D25
src=3D"ch8-2.files/image010.gif" =
v:shapes=3D"_x0000_i1029"><![endif]></SUB><!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" =
ShapeID=3D"_x0000_i1029"
DrawAspect=3D"Content" ObjectID=3D"_1207471784">
</o:OLEObject>
</xml><![endif]-->=AA=A7=AA=A7<o:p></o:p></SPAN></P>
<P class=3DMsoNormal style=3D"TEXT-ALIGN: left; mso-layout-grid-align: =
none"=20
align=3Dleft><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt; mso-ansi-language: =
ZH-CN">=BC=B4=B9=AB=CA=BD</SPAN><SPAN=20
lang=3DEN-US=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt">(2)</SPAN><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt; mso-ansi-language: ZH-CN">=CE=AA</SPAN><SPAN=20
lang=3DEN-US=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt">k</SPAN><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt; mso-ansi-language: =
ZH-CN">=BD=D7=B7=BD=B7=A8=A1=A3=AA=A5<o:p></o:p></SPAN></P>
<P class=3DMsoNormal=20
style=3D"TEXT-INDENT: 6pt; TEXT-ALIGN: left; mso-layout-grid-align: =
none; mso-char-indent-count: .5"=20
align=3Dleft><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt; mso-ansi-language: ZH-CN"><SPAN=20
style=3D"mso-spacerun: yes"> </SPAN><SPAN style=3D"mso-spacerun: =
yes"> =20
</SPAN>=B4=D3=C0=ED=C2=DB=C9=CF=BD=B2=A3=AC=D6=BB=D2=AA=BD=E2y(x)=D3=D0=C8=
=CE=D2=E2=BD=D7=B5=BC=CA=FD=A3=AC=CC=A9=C0=D5=D5=B9=BF=AA=B7=BD=B7=A8=BE=CD=
=BF=C9=D2=D4=B9=B9=D4=EC=C8=CE=D2=E2=BD=D7=C7=F3=AA=A7</SPAN><SPAN =
lang=3DEN-US=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt">y</SPAN><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt; mso-ansi-language: ZH-CN"><SUB><!--[if gte vml =
1]><v:shape=20
id=3D_x0000_i1030 style=3D"WIDTH: 15pt; HEIGHT: 18.75pt" o:ole=3D"" type =
=3D=20
"#_x0000_t75" coordsize =3D "21600,21600"> <v:imagedata o:title=3D"" src =
=3D=20
"ch8-2.files/image001.wmz"></v:imagedata></v:shape><![endif]--><![if =
!vml]><img width=3D20 height=3D25
src=3D"ch8-2.files/image002.gif" =
v:shapes=3D"_x0000_i1030"><![endif]></SUB><!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" =
ShapeID=3D"_x0000_i1030"
DrawAspect=3D"Content" ObjectID=3D"_1207471785">
</o:OLEObject>
</xml><![endif]-->=B5=C4=B9=AB =
=CA=BD=A3=AC=B5=AB=D3=C9=D3=DA=BC=C6=CB=E3=D5=E2=D0=A9=B5=BC=CA=FD=CA=C7=B7=
=C7=B3=A3=B8=B4=D4=D3=B5=C4=A1=A3=C8=E7=AA=A4<o:p></o:p></SPAN></P>
<P class=3DMsoNormal=20
style=3D"TEXT-INDENT: 102pt; TEXT-ALIGN: left; mso-layout-grid-align: =
none; mso-char-indent-count: 8.5"=20
align=3Dleft><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt; mso-ansi-language: ZH-CN"><SUB><!--[if gte vml =
1]><v:shape=20
id=3D_x0000_i1031 style=3D"WIDTH: 207.75pt; HEIGHT: 57.75pt" o:ole=3D"" =
type =3D=20
"#_x0000_t75" coordsize =3D "21600,21600"><v:imagedata o:title=3D"" src =
=3D=20
"ch8-2.files/image011.wmz"></v:imagedata></v:shape><![endif]--><![if =
!vml]><img width=3D277 height=3D77
src=3D"ch8-2.files/image012.gif" =
v:shapes=3D"_x0000_i1031"><![endif]></SUB><!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" =
ShapeID=3D"_x0000_i1031"
DrawAspect=3D"Content" ObjectID=3D"_1207471786">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></SPAN></P>
<P class=3DMsoNormal style=3D"TEXT-ALIGN: left; mso-layout-grid-align: =
none"=20
align=3Dleft><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt; mso-ansi-language: =
ZH-CN">=CB=F9=D2=D4=D5=E2=D6=D6=B7=BD=B7=A8=CA=B5=BC=CA=C9=CF=B2=BB=C4=DC=
=D3=C3=C0=B4=BD=E2=B3=F5=D6=B5=CE=CA=CC=E2=A1=A3<o:p></o:p></SPAN></P>
<P class=3DMsoNormal style=3D"TEXT-ALIGN: left; mso-layout-grid-align: =
none"=20
align=3Dleft><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt; mso-ansi-language: ZH-CN">=B6=FE<SPAN=20
style=3D"mso-spacerun: yes"> </SPAN>=C1=FA=B8=F1 =
</SPAN><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: Arial; mso-bidi-font-family: =
=CB=CE=CC=E5; mso-font-kerning: 0pt; mso-ansi-language: ZH-CN; =
mso-ascii-font-family: =CB=CE=CC=E5">=A1=AA</SPAN><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt; mso-ansi-language: =
ZH-CN">=BF=E2=CB=FE=B7=BD=B7=A8(R-K=B7=BD=B7=A8)=AA=A5<o:p></o:p></SPAN><=
/P>
<P class=3DMsoNormal=20
style=3D"TEXT-INDENT: 18pt; TEXT-ALIGN: left; mso-layout-grid-align: =
none; mso-char-indent-count: 1.5"=20
align=3Dleft><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt; mso-ansi-language: =
ZH-CN">R-K=B7=BD=B7=A8=B2=BB=CA=C7=CD=A8=B9=FD=C7=F3=B5=BC=CA=FD=B5=C4=B7=
=BD=B7=A8=B9=B9=D4=EC=BD=FC=CB=C6=B9=AB=CA=BD=A3=AC=B6=F8=CA=C7=CD=A8=B9=FD=
=BC=C6=CB=E3=20
=B2=BB=CD=AC=B5=E3=C9=CF=B5=C4=BA=AF=CA=FD=D6=B5=A3=AC=B2=A2=B6=D4=D5=E2=D0=
=A9=BA=AF=CA=FD=D6=B5=D7=F7=CF=DF=D0=D4=D7=E9=BA=CF=A3=AC=B9=B9=D4=EC=BD=FC=
=CB=C6=B9=AB=CA=BD=A3=AC=D4=D9=B0=D1=BD=FC=CB=C6=B9=AB=CA=BD=D3=EB=BD=E2=B5=
=C4=CC=A9=C0=D5=D5=B9=BF=AA=20
=CA=BD=BD=F8=D0=D0=B1=C8=BD=CF=A3=AC=CA=B9=C7=B0=C3=E6=B5=C4=C8=F4=B8=C9=CF=
=EE=CF=E0=CD=AC=A3=AC=B4=D3=B6=F8=CA=B9=BD=FC=CB=C6=B9=AB=CA=BD=B4=EF=B5=BD=
=D2=BB=B6=A8=B5=C4=BD=D7=CA=FD=A1=A3=AA=A5=CE=D2=C3=C7=CF=C8=B7=D6=CE=F6=C5=
=B7=C0=AD=B7=A8 =D3=EB=D4=A4=B9=C0</SPAN><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: Arial; mso-bidi-font-family: =
=CB=CE=CC=E5; mso-font-kerning: 0pt; mso-ansi-language: ZH-CN; =
mso-ascii-font-family: =CB=CE=CC=E5">=A1=AA</SPAN><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt; mso-ansi-language: =
ZH-CN">=D0=A3=D5=FD=B7=A8=A1=A3=B6=D4=D3=DA=C5=B7=C0=AD=B7=A8=AA=A7=AA=A7=
<SPAN=20
style=3D"mso-spacerun: =
yes"> &n=
bsp; =20
</SPAN><SPAN=20
style=3D"mso-spacerun: =
yes"> </SPAN>=AA=A7<SPAN=20
style=3D"mso-spacerun: =
yes"> &n=
bsp; =20
</SPAN>=AA=A7<SUB><!--[if gte vml 1]><v:shape id=3D_x0000_i1032=20
style=3D"WIDTH: 81.75pt; HEIGHT: 38.25pt" o:ole=3D"" type =3D =
"#_x0000_t75" coordsize=20
=3D "21600,21600"> <v:imagedata o:title=3D"" src =3D=20
"ch8-2.files/image013.wmz"></v:imagedata></v:shape><![endif]--><![if =
!vml]><img width=3D109 height=3D51
src=3D"ch8-2.files/image014.gif" =
v:shapes=3D"_x0000_i1032"><![endif]></SUB><!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" =
ShapeID=3D"_x0000_i1032"
DrawAspect=3D"Content" ObjectID=3D"_1207471787">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></SPAN></P>
<P class=3DMsoNormal style=3D"TEXT-ALIGN: left; mso-layout-grid-align: =
none"=20
align=3Dleft><SPAN=20
style=3D"FONT-SIZE: 12pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-hansi-font-family: Arial; mso-bidi-font-family: =CB=CE=CC=E5; =
mso-font-kerning: 0pt; mso-ansi-language: =
ZH-CN">=C3=BF=B2=BD=BC=C6=CB=E3f=B5=C4=D6=B5=D2=BB=B4=CE=A3=AC=C6=E4=BD=D8=
=B6=CF=CE=F3=B2=EE=CE=AAO(<SUB><!--[if gte vml 1]><v:shape=20
⌨️ 快捷键说明
复制代码
Ctrl + C
搜索代码
Ctrl + F
全屏模式
F11
切换主题
Ctrl + Shift + D
显示快捷键
?
增大字号
Ctrl + =
减小字号
Ctrl + -