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------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/master06.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/preview.wmf Content-Transfer-Encoding: base64 Content-Type: image/x-wmf AQAJAAAD3gAAAAUAMwAAAAAABAAAAAMBCAAFAAAACwIAAAAABQAAAAwCeQChAAMAAAAeAAcAAAD8 AgAA////AAAABAAAAC0BAAAIAAAA+gIFAAAAAAD///8ABAAAAC0BAQAOAAAAJAMFAP///////3gA oAB4AKAA////////CAAAAPoCAAAAAAAAAAAAAAQAAAAtAQIABAAAAC0BAAAEAAAAJwH//xwAAAD7 Avn/AAAAAAAAkAEAAAAAAEAAIkFyaWFsAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAC0B AwAEAAAALgEYAAQAAAACAQEABQAAAAkCAAAAAjMAAAAyCgkAHAAdAAAAUmVjdGFuZ3VsYXIgQ29v cmRpbmF0ZSBTeXN0ZW0ABQAEAAQAAgAEAAQABAAEAAIABAACAAIABQAEAAQAAgAEAAIABAAEAAIA BAACAAUAAwAEAAIABAAGAAQAAAAuAQAAHAAAAPsCEAAHAAAAAAC8AgAAAAABAgIiU3lzdGVtAAAA AAAAAAAAABgAAAABAAAAUNQfAOQEAAAEAAAALQEEAAQAAADwAQMAAwAAAAAA ------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/pres.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0012.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
Rectangular Coordinate Syste= m
------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0058.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
Rectangular Coordinate Syste= m
Each point in the plan= e may be ad= dressed by two numbers (x, y) called an ordered p= air. =
------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0059.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
Rectangular Coordinate Syste= m
Each point in the plan= e may be ad= dressed by two numbers (x, y) called an ordered p= air. <= span lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'>To locate= (x, y), start from the orgin (0, 0),
x =3D amo= unt to move
right (+)= or left (–),
y =3D amo= unt to move
up (+) or= down (–).
------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0060.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
For example, the point= P corresponds to (4, -3) is
4 right, and 3 down fr= om the orgin.
Rectangular Coordinate Syste= m
Each point in the plan= e may be ad= dressed by two numbers (x, y) called an ordered p= air. <= span lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'>To locate= (x, y), start from the orgin (0, 0),
x =3D amo= unt to move
right (+)= or left (–),
y =3D amo= unt to move
up (+) or= down (–).
------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0061.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
For example, the point= P corresponds to (4, -3) is
4 right, and 3 down fr= om the orgin.
<= span lang=3DZH-CN style=3D'mso-ansi-language:EN-US;mso-special-format:lastCR; display:none'>
Rectangular Coordinate Syste= m
Each point in the plan= e may be ad= dressed by two numbers (x, y) called an ordered p= air. <= span lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'>To locate= (x, y), start from the orgin (0, 0),
x =3D amo= unt to move
right (+)= or left (–),
y =3D amo= unt to move
up (+) or= down (–).
(4, -3)
4 right
3 down
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file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0062.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
For example, the point= P corresponds to (4, -3) is
4 right, and 3 down fr= om the orgin.
<= span lang=3DZH-CN style=3D'mso-ansi-language:EN-US;mso-special-format:lastCR; display:none'>
Rectangular Coordinate Syste= m
Each point in the plan= e may be ad= dressed by two numbers (x, y) called an ordered p= air. <= span lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'>To locate= (x, y), start from the orgin (0, 0),
x =3D amo= unt to move
right (+)= or left (–),
y =3D amo= unt to move
up (+) or= down (–).
Points on the x-axis have the form (x, 0) and points = on the y-= axis have the form (0, y).
(4, -3)
4 right
3 down
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For example, the point= P corresponds to (4, -3) is
4 right, and 3 down fr= om the orgin.
Rectangular Coordinate Syste= m
Each point in the plan= e may be ad= dressed by two numbers (x, y) called an ordered p= air. <= span lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'>To locate= (x, y), start from the orgin (0, 0),
x =3D amo= unt to move
right (+)= or left (–),
y =3D amo= unt to move
up (+) or= down (–).
Points on the x-axis have the form (x, 0) and points = on the y-= axis have the form (0, y).
<= span lang=3DZH-CN style=3D'mso-ansi-language:EN-US;mso-special-format:lastCR; display:none'>
(x, 0)
=
(0, y)
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The axes divide the &#= 13;
plane into four quadrants,
numbered 1, 2, 3, and = 4 counter-c= lockwisely.
Rectangular Coordinate Syste= m
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The axes divide the &#= 13;
plane into four quadrants,
numbered 1, 2, 3, and = 4 counter-c= lockwisely. 
Q1=
Q2=
Q3=
Q4=
Rectangular Coordinate Syste= m
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------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0065.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
The axes divide the &#= 13;
plane into four quadrants,
numbered 1, 2, 3, and = 4 counter-c= lockwisely.  Respectively, the sign= s of the coordinates of each quadrant are shown.
Q1=
Q2=
Q3=
Q4=
(+,+)<= /b>
(̵= 1;,+)
(̵= 1;,–)
(+,= 211;)
Rectangular Coordinate Syste= m
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------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0040.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
The axes divide the &#= 13;
plane into four quadrants,
numbered 1, 2, 3, and = 4 counter-c= lockwisely.  Respectively, the sign= s of the coordinates of each quadrant are shown.
Rectangular Coordinate Syste= m
The points (x, y) and (–x , y) are reflection of each = other acr= oss the y-axis.
Q1=
Q2=
Q3=
Q4=
(+,+)<= /b>
(̵= 1;,+)
(̵= 1;,–)
(+,= 211;)
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The axes divide the &#= 13;
plane into four quadrants,
numbered 1, 2, 3, and = 4 counter-c= lockwisely.  Respectively, the sign= s of the coordinates of each quadrant are shown.
Rectangular Coordinate Syste= m
The points (x, y) and (–x , y) are reflection of each = other acr= oss the y-axis.
(5,4)
(–5,4)
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The axes divide the &#= 13;
plane into four quadrants,
numbered 1, 2, 3, and = 4 counter-c= lockwisely.  Respectively, the sign= s of the coordinates of each quadrant are shown.
Rectangular Coordinate Syste= m
The points (x, y) and (–x , y) are reflection of each = other acr= oss the y-axis.
The points (x, y) and (x , –y) are reflection of e= ach = other acr= oss the x-axis.
(5,4)
(–5,4)
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The axes divide the &#= 13;
plane into four quadrants,
numbered 1, 2, 3, and = 4 counter-c= lockwisely.  Respectively, the sign= s of the coordinates of each quadrant are shown.
Rectangular Coordinate Syste= m
The points (x, y) and (–x , y) are reflection of each = other acr= oss the y-axis.
The points (x, y) and (x , –y) are reflection of e= ach = other acr= oss the x-axis.
(5,4)
(–5,4)
(5, –4)=
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The axes divide the &#= 13;
plane into four quadrants,
numbered 1, 2, 3, and = 4 counter-c= lockwisely.  Respectively, the sign= s of the coordinates of each quadrant are shown.
Rectangular Coordinate Syste= m
The points (x, y) and (–x , y) are reflection of each = other acr= oss the y-axis.
The points (x, y) and (x , –y) are reflection of e= ach = other acr= oss the x-axis.
The points (x, y) and (–x , –y) are reflection of e= ach other acr= oss the x-axis.
(5,4)
(–5,4)
(5, –4)=
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The axes divide the &#= 13;
plane into four quadrants,
numbered 1, 2, 3, and = 4 counter-c= lockwisely.  Respectively, the sign= s of the coordinates of each quadrant are shown.
Rectangular Coordinate Syste= m
The points (x, y) and (–x , y) are reflection of each = other acr= oss the y-axis.
The points (x, y) and (x , –y) are reflection of e= ach = other acr= oss the x-axis.
The points (x, y) and (–x , –y) are reflection of e= ach other acr= oss the x-axis.
(5,4)
(–5,4)
(5, –4)=
(–5, –4)
------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0070_image028.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFABxAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAAAM AHAAgQAAAAAAALvg4wECAwKYhBEZxyEvVoNQIkqlw0/zbmycJVbMZZ6IorbuC8eymsC1q1hn3uZ3 49v5fqvhYcgrIpXIZvDI6kVn1KoVNxUSgVto9woOY7/KsY57FqvXSVoWbV7LY21tOvT23svzvptc BycFmOc3F6gXN7iHyOb0yPOI16RXR4nWZfTHWIhns2cY+odTcVYCEvIRkfrh0co6chQLlbHIUAAA Ow== ------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0070_image029.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhgQAUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAgB8 AA0AgQAAAAAAALvg4wECAwKUhI+pGesPo5y00auCxrz7ukVaCI7fiZ4jmQmuwDqrmda2OFtI8PZ6 lovdhrcgi9dz/Q5G2opBY0YNz910Zr1WqVtAs4pMLr/OqdfcPce6WKn2fSSvkkoombtG6/Nx+K+N 13cX5rNwpza2l8j3x+bol9XERLdkl0OEOWQE9CJkCJgZ+nH5YCaRJppaUknkqfoqw4pQAAA7 ------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0070_image030.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhiQBwAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAABwCB AGcAgQAAAAAAALvg4wECAwL/hI+py+0Po5ws0Iuz3jB4z4XiOH7mR6bqqpwuyMYy957zjVM1mvf+ svsJhTvL8IgLIpcyJfOpekGnGyMQRs1KeECtt2OqfMeVMPkc4aLXDSt7rX7LbfI6vf6+49nY/djt B9cX+KdH+GV46BWn+AQI8Ni4xCg5lVjpaIZJdbk5Gen5Axp6pEn6aXpamqo6RNk68zgKy/JKm8R6 i2urG5PbezMIXDssyltM4oK8K7y8cuyMMRtd0kxdDX0t/atNY93tDR7yLZ7BXa7TiZ6evf7Q7o4w HZ9GTu+gfL8Nr39w3t9mHkB7AK8QLOhPHcIEChfKEzjQ4QR+AxtKtHjxYD9AXBr1dVz4L2NId6Mw rpv1sRwXiBXzSWTo5KWBIjIT1qhp02XNIizj8eyJ7idQlTFf6hTpD2dCAUxT0gvANKqAoT6lRqV6 0mpTpTO1TuUKySvWoGLBhpU6luTIggUAADs= ------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0050.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
Let (x1, y1) and (x2, y2) be two points,   
let D =3D the distance between = them,
The Distance For= mula <= /div>
------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0071.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
Let (x1, y1) and (x2, y2) be two points,   
let D =3D the distance between = them, then
D2 =3D= Δx2 + Δy2, <= /span>
The Distance For= mula <= /div>
------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0072.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
Let (x1, y1) and (x2, y2) be two points,   
let D =3D the distance between = them, then
D2 =3D= Δx2 + Δy2, where
Δx =3D difference in the x's,  Δy =3D dif= ference in the y's
The Distance For= mula <= /div>
------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0073.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
Let (x1, y1) and (x2, y2) be two points,   
let D =3D the distance between = them, then
D2 =3D= Δx2 + Δy2, where
Δx =3D difference in the x's,  Δy =3D dif= ference in the y's
Hence D =3D &Oum= l;Δx2 + <= span lang=3DEL style=3D'font-family:Arial;mso-bidi-font-family:Arial;mso-hansi-= font-family: Arial;font-size:156%;mso-fareast-language:ZH-CN'>Δy2        = ;            &n= bsp;       
        = ;       or
D =3D &Oum= l;(x2 – x1)2+(y2 – y1)2        = ;     
The Distance For= mula <= /div>
------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0073_image031.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhZAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQBi AAEAgAAAAAAAAAIIjI+py+0P4yoAOy== ------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0073_image032.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhtAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQCy AAEAgAAAAAAAAAIMjI+py+0Po5y02lUAADs= ------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0074.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
Let (x1, y1) and (x2, y2) be two points,   
let D =3D the distance between = them, then
D2 =3D= Δx2 + Δy2, where
Δx =3D difference in the x's,  Δy =3D dif= ference in the y's
Hence D =3D &Oum= l;Δx2 + <= span lang=3DEL style=3D'font-family:Arial;mso-bidi-font-family:Arial;mso-hansi-= font-family: Arial;font-size:156%;mso-fareast-language:ZH-CN'>Δy2        = ;            &n= bsp;       
        = ;       or
D =3D &Oum= l;(x2 – x1)2+(y2 – y1)2        = ;     
Example A: Find the distance
between (-1, 3) and= (2, -4).
The Distance For= mula <= /div>
------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0074_image033.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhZAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQBi AAEAgAAAAAAAAAIIjI+py+0P4yoAOy== ------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0074_image034.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhtAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQCy AAEAgAAAAAAAAAIMjI+py+0Po5y02lUAADs= ------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0075.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
Let (x1, y1) and (x2, y2) be two points,   
let D =3D the distance between = them, then
D2 =3D= Δx2 + Δy2, where
Δx =3D difference in the x's,  Δy =3D dif= ference in the y's
Hence D =3D &Oum= l;Δx2 + <= span lang=3DEL style=3D'font-family:Arial;mso-bidi-font-family:Arial;mso-hansi-= font-family: Arial;font-size:156%;mso-fareast-language:ZH-CN'>Δy2        = ;            &n= bsp;       
        = ;       or
D =3D &Oum= l;(x2 – x1)2+(y2 – y1)2        = ;     
Example A: Find the distance
between (-1, 3) and= (2, -4).
    (-1,  3)
–  ( 2, -4)
    
The Distance For= mula <= /div>
------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0075_image035.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhZAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQBi AAEAgAAAAAAAAAIIjI+py+0P4yoAOy== ------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0075_image036.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhtAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQCy AAEAgAAAAAAAAAIMjI+py+0Po5y02lUAADs= ------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0075_image037.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhYAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAABd AAIAgAAAAAAAAAIMjI+py+0Po5y02lkAADs= ------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0080.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
Let (x1, y1) and (x2, y2) be two points,   
let D =3D the distance between = them, then
D2 =3D= Δx2 + Δy2, where
Δx =3D difference in the x's,  Δy =3D dif= ference in the y's
Hence D =3D &Oum= l;Δx2 + <= span lang=3DEL style=3D'font-family:Arial;mso-bidi-font-family:Arial;mso-hansi-= font-family: Arial;font-size:156%;mso-fareast-language:ZH-CN'>Δy2        = ;            &n= bsp;       
        = ;       or
D =3D &Oum= l;(x2 – x1)2+(y2 – y1)2        = ;     
Example A: Find the distance
between (-1, 3) and= (2, -4).
    (-1,  3)
–  ( 2, -4)
     -3,  7
Δx         Δy
The Distance For= mula <= /div>
------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0080_image038.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhZAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQBi AAEAgAAAAAAAAAIIjI+py+0P4yoAOy== ------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0080_image039.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhtAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQCy AAEAgAAAAAAAAAIMjI+py+0Po5y02lUAADs= ------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0080_image040.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhYAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAABd AAIAgAAAAAAAAAIMjI+py+0Po5y02lkAADs= ------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0080_image041.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhDAAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEABAAG ABMAgAAAAAAAAAIXhBGHaeH8UpSxSavceZvh3nkaSH6bUgAAOw== ------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0080_image042.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhDAAXAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABAAH ABIAgAAAAAAAAAIZBGJ5mOHqnomSoicb02rt+S1dBoakCJlAAQA7 ------=_NextPart_01C82E62.66022B30 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0076.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
Let (x1, y1) and (x2, y2) be two points,   
let D =3D the distance between = them, then
D2 =3D= Δx2 + Δy2, where
Δx =3D difference in the x's,  Δy =3D dif= ference in the y's
Hence D =3D &Oum= l;Δx2 + <= span lang=3DEL style=3D'font-family:Arial;mso-bidi-font-family:Arial;mso-hansi-= font-family: Arial;font-size:156%;mso-fareast-language:ZH-CN'>Δy2        = ;            &n= bsp;       
        = ;       or
D =3D &Oum= l;(x2 – x1)2+(y2 – y1)2        = ;     
Example A: Find the distance
between (-1, 3) and= (2, -4).
    (-1,  3)
–  ( 2, -4)
     -3,  7
Δx         Δy
D
D
7
-3
The Distance For= mula <= /div>
(-1,  3)
(2, -4)
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Let (x1, y1) and (x2, y2) be two points,   
let D =3D the distance between = them, then
D2 =3D= Δx2 + Δy2, where
Δx =3D difference in the x's,  Δy =3D dif= ference in the y's
Hence D =3D &Oum= l;Δx2 + <= span lang=3DEL style=3D'font-family:Arial;mso-bidi-font-family:Arial;mso-hansi-= font-family: Arial;font-size:156%;mso-fareast-language:ZH-CN'>Δy2        = ;            &n= bsp;       
        = ;       or
D =3D &Oum= l;(x2 – x1)2+(y2 – y1)2        = ;     
Example A: Find the distance
between (-1, 3) and= (2, -4).
    (-1,  3)
–  ( 2, -4)
     -3,  7
Δx         Δy
=
D =3D Ö(-3)2 + 72
   =3D Ö58 » 7.62
D
D
7
-3
The Distance For= mula <= /div>
(2, -4)
(-1,  3)
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file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0077_image064.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhRwCiAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAgBF AJ4AgQAAAABmzACZAP8AAAL/lAWpy+0PYzxI2osxzbz37YWiQw3jOZbo+h0mC1vlG9fNbOfLNtB6 zfP9YKDeEHhIGI/EpJLZNCiW0BPoWbU6lcIs5wqgelvShXis2XLR5Iq5y4aA1/HLHFuX3MPw/E49 1eeXsMc3+FB4dkgI+LbIUGj4qBAZNknZ6HhZqThYKfn42Zn3CXpYOhpXahma2ZCKtgo7tmpK6voq SIube8rLMFtVi3dbhhHMNGzLpry8a3ysC9XsnEWN/EPNqvr7gJ2j/W2jXZ3c7S2dfY7OvO4gHuUW kg7u/k6PBO0Bv0Ie+CxvHr54K/ilsMfOGkJvXvxpmrbwnkJ9Iwx6cPjwCMaM/+ooVhx40GNFiCJF WMywkWO9kiZBXowY4aQdmDFdfqEJQaYenDmHpOyl4ycwm2lYntCJiGdOojKULl0ZsAbSG057jqua MIZQifmi2piKyWhBpknFjtWK9SlBKGSpmj3LYqvafmlrxq07V8tbFkjl2kXhNybdvXzbAgicNwTi xG3QyFzMGCVeCychW1U8mTJTy1kbxzHIubNkwl9thhY9k/TXl6qlujyNemdr1zdnxxAHO3JZr44H 5r7c1Dbt1Lx7Fy1uPDjyMch+/52QWaDyS+mcP99NXZr1626Xs4G1nfsf4T9ShReM/RKd7urXQ4qO otN58Yfhx+8yX3x+9OO9+0w5s19iAeY1YGcFZnUgV/WRlwUNCXL1IFAR9jLhUPUFgGGGGm7IYYce 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Let (h, k) be the cente= r of a circle and r be the radius.
r<= /span>
(x, y)
(h, k)
Circles
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Let (h, k)= be the center of a circle and r be the radius.&n= bsp; Suppose (x, y) is a point on the circle, then the