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<div id="ta30_1" class="block" style="display:block"><p class="MsoNormal">
<b>1.<o:p></o:p></b>
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<p class="MsoNormal">
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</v:shape><![endif]--><!--[if !vml]--><span style="position: absolute; z-index: 1; margin-left: 199px; margin-top: 2px; width: 21px; height: 129px"></span><!--[endif]-->a) La recta <span style="position: relative; top: 0.5pt"><!--[if gte vml 1]><v:shapetype
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Pasa por el punto <i>A</i>
= (2,3)<span> </span>
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<span>
</span><span style="position: relative; top: 9.5pt"><!--[if gte vml 1]><v:shape
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Su dirección es la de <span style="position: relative; top: 1.5pt"><!--[if gte vml 1]><v:shape id="_x0000_i1027"
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<o:p> </o:p>
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<p class="MsoNormal">
<o:p> </o:p>
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b) Es <span style="position: relative; top: 9.5pt"><!--[if gte vml 1]><v:shape id="_x0000_i1028" type="#_x0000_t75"
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c) Sustituyendo las coordenadas de <i>C</i> en la ecuación de <i>AB</i>:
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<o:p> </o:p>
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d) Si la pendiente de la perpendicular es m:
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<p class="MsoNormal">
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perpendicular tiene de ecuación:
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<o:p> </o:p>
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<p class="MsoNormal">
Pasa por el punto <i>C</i>
= (1,-1)<span> </span>
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<span> </span><span style="position: relative; top: 9.5pt"><!--[if gte vml 1]><v:shape
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Tiene pendiente m= <span style="position: relative; top: 9.5pt"><!--[if gte vml 1]><v:shape id="_x0000_i1034"
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<o:p> </o:p>
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<o:p> </o:p>
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e) La pendiente de la recta dada es:
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Como dos rectas son paralelas cuando tienen la misma
pendiente, deber ser
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<span> </span>
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<b>2.</b> Tomemos como
base el segmento <span style="position: relative; top: 1.5pt"><!--[if gte vml 1]><v:shape
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</v:shape><![endif]--><!--[if !vml]--><!--[endif]--></span>. Así
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<img src="3.3..png" height="196" width="318" />
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<p class="MsoNormal">
</p>
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Base = <span style="position: relative; top: 3pt"><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600"
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</p>
<p class="Prrafodelista" style="text-indent: -18pt">
<!--[if !supportLists]--><span style="font-size: 12pt; line-height: 115%; font-family: 'Times New Roman'"><span>(a)<span style="font-family: 'Times New Roman'; font-style: normal; font-variant: normal; font-weight: normal; font-size: 7pt; line-height: normal; font-size-adjust: none; font-stretch: normal">
</span></span></span><!--[endif]--><span style="font-size: 12pt; line-height: 115%; font-family: 'Times New Roman'">(a)Obtengamos la longitud de la base:</span>
</p>
<p class="Prrafodelista" style="text-indent: -18pt">
</p>
<p class="Prrafodelista" style="text-indent: -18pt">
</p>
<p class="Prrafodelista" style="text-indent: -18pt">
<!--[if !supportLists]--><span style="font-size: 12pt; line-height: 115%; font-family: 'Times New Roman'"><span>(a)<span style="font-family: 'Times New Roman'; font-style: normal; font-variant: normal; font-weight: normal; font-size: 7pt; line-height: normal; font-size-adjust: none; font-stretch: normal">
</span></span></span><!--[endif]--><span style="font-size: 12pt; line-height: 115%; font-family: 'Times New Roman'">(b)Obtengamos la longitud de la altura: es la
distancia del vértice C a la recta <i>AB</i></span>
</p>
<p class="Prrafodelista" style="text-indent: -18pt">
</p>
<p class="Prrafodelista" style="text-indent: -18pt">
</p>
<p class="MsoNormal">
La distancia de<i> C</i>
a esa recta es
</p>
<p>
</p>
<p>
</p>
<p>
</p>
<p class="MsoNormal">
<b>3</b>. Sea <i>P</i> = (<i>a,
b</i>)
</p>
<p>
</p>
<p>
</p>
<p>
</p>
<p class="MsoNormal">
<b>4</b>. Tenemos <span style="position: relative; top: 1.5pt"><!--[if gte vml 1]><v:shapetype
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</xml><![endif]--><span> </span>,<span> </span><span style="position: relative; top: 1.5pt"><!--[if gte vml 1]><v:shape id="_x0000_i1026" type="#_x0000_t75"
style='width:48pt;height:15pt' o:ole="" filled="t">
<v:fill color2="black"/>
<v:imagedata src="file:///C:\DOCUME~1\MARIAR~1\LOCALS~1\Temp\msohtml1\01\clip_image003.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1026"
DrawAspect="Content" ObjectID="_1362040932">
</o:OLEObject>
</xml><![endif]--><span> </span>,<span> </span><span style="position: relative; top: 1.5pt"><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1027"
DrawAspect="Content" ObjectID="_1362040933">
</o:OLEObject>
</xml><![endif]--><span> </span>
</p>
<p class="MsoNormal">
A) La mediana pasa por el vértice C y por el punto
medio<span> </span>de <span style="position: relative; top: 1.5pt"><!--[if gte vml 1]><v:shape id="_x0000_i1028"
type="#_x0000_t75" style='width:15.75pt;height:15.75pt' filled="t">
<v:fill color2="black"/>
<v:imagedata src="file:///C:\DOCUME~1\MARIAR~1\LOCALS~1\Temp\msohtml1\01\clip_image007.png"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><!--[endif]--></span>:
</p>
<p class="MsoNormal">
<!--[if gte vml 1]><v:shape id="_x0000_s1026" type="#_x0000_t75"
style='position:absolute;margin-left:0;margin-top:.6pt;width:209.95pt;
height:71.95pt;z-index:1;mso-wrap-distance-left:0;mso-wrap-distance-right:9.05pt;
mso-position-horizontal:absolute;mso-position-horizontal-relative:text;
mso-position-vertical:absolute;mso-position-vertical-relative:text' filled="t">
<v:fill color2="black"/>
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o:title=""/>
<w:wrap type="square" side="right"/>
</v:shape><![if gte mso 9]><o:OLEObject Type="Embed" ProgID="Equation.DSMT4"
ShapeID="_x0000_s1026" DrawAspect="Content" ObjectID="_1362040934">
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<span> </span><i>(Ec.
de la mediana)<o:p></o:p></i>
</p>
<p class="MsoNormal">
<o:p> </o:p>
</p>
<p class="MsoNormal" style="background: white none repeat scroll 0% 50%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial">
B) Un punto P =(x, y) está en la
mediatriz de precisamente cuando <span style="position: relative; top: 0.5pt"><!--[if gte vml 1]><v:shape id="_x0000_i1030"
type="#_x0000_t75" style='width:100.5pt;height:13.5pt' o:ole="" filled="t">
<v:fill color2="black"/>
<v:imagedata src="file:///C:\DOCUME~1\MARIAR~1\LOCALS~1\Temp\msohtml1\01\clip_image013.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1030"
DrawAspect="Content" ObjectID="_1362040936">
</o:OLEObject>
</xml><![endif]-->:
</p>
<p class="MsoNormal" style="background: white none repeat scroll 0% 50%; margin-left: 39pt; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial">
<span> </span><span style="position: relative; top: 2pt"><!--[if gte vml 1]><v:shape
id="_x0000_i1031" type="#_x0000_t75" style='width:201.75pt;height:16.5pt'
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<v:imagedata src="file:///C:\DOCUME~1\MARIAR~1\LOCALS~1\Temp\msohtml1\01\clip_image015.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1031"
DrawAspect="Content" ObjectID="_1362040937">
</o:OLEObject>
</xml><![endif]-->
</p>
<p class="MsoNormal" style="background: white none repeat scroll 0% 50%; margin-left: 39pt; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial">
<span> </span><span style="position: relative; top: 0.5pt"><!--[if gte vml 1]><v:shape id="_x0000_i1032" type="#_x0000_t75"
style='width:167.25pt;height:13.5pt' o:ole="" filled="t">
<v:fill color2="black"/>
<v:imagedata src="file:///C:\DOCUME~1\MARIAR~1\LOCALS~1\Temp\msohtml1\01\clip_image017.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1032"
DrawAspect="Content" ObjectID="_1362040938">
</o:OLEObject>
</xml><![endif]-->
</p>
<p class="MsoNormal" style="background: white none repeat scroll 0% 50%; margin-left: 39pt; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial">
<o:p> </o:p>
</p>
<p class="MsoNormal" style="background: white none repeat scroll 0% 50%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial">
C) Para obtener el corte de ambas
rectas<span> </span>resolvemos el sistema que forman
sus ecuaciones:
</p>
<p class="MsoNormal" style="background: white none repeat scroll 0% 50%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial">
</p>
<p class="MsoNormal" style="background: white none repeat scroll 0% 50%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial">
<span style="font-size: 12pt; font-family: 'Times New Roman'">El punto intersección es </span>
</p>
<p class="MsoNormal" style="background: white none repeat scroll 0% 50%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial">
</p>
<p class="MsoNormal" style="background: white none repeat scroll 0% 50%; margin-left: 39pt; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial">
<o:p> </o:p>
</p>
<p>
</p>
<p>
</p>
<p class="Prrafodelista" style="text-indent: -18pt">
</p>
<p class="Prrafodelista" style="text-indent: -18pt">
</p>
<p class="Prrafodelista" style="text-indent: -18pt">
</p>
<p class="Prrafodelista" style="text-indent: -18pt">
</p>
<p class="Prrafodelista" style="text-indent: -18pt">
</p>
<p class="MsoNormal">
</p>
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