Skip to main content
Editing a Description
You have permission to :
Edit this question
General
Category
Default for System (16649)
Test-Lidia
Question name
Question text
<div style="text-align: center; font-weight: bold; color: #006600;"><span style="font-size: large;" data-mce-mark="1"> </span></div> <table style="background-color: #ffffcc; background-image: url('http://www.insmilaifontanals.cat/none'); float: none; text-align: left; vertical-align: top; width: 400px; height: 186px; border-color: #003300; border-width: 4px; border-style: solid;" frame="void" rules="none" align="center"> <tbody> <tr style="background-color: #336600;"> <td style="width: 50%; border-color: #003300; border-style: solid; border-width: 1px; background-color: #003300;" colspan="2" align="center" valign="middle"><span style="color: #ffff99; font-size: large;" data-mce-mark="1">Escriure l'equació d'una recta perpendicular</span></td> </tr> <tr> <td colspan="2" valign="top" width="50%"> <p><span style="text-decoration: underline; color: #003300;" data-mce-mark="1"><span style="font-weight: bold; font-size: small; text-decoration: underline;" data-mce-mark="1">AMB <span class="nolink">VECTORS</span></span></span></p> <p style="text-align: justify;"><span style="font-weight: bold; color: #003300; font-size: small;" data-mce-mark="1">Per escriure l'equació de la recta perpendicular a la recta r de vector director (A,B) fem servir un punt i el vector (-B,A) que és perpendicular a (A,B)</span></p> <p style="text-align: justify;"><span style="color: #003300; font-size: small;"><em>Exemple: Una perpendicular a r : 2x-3y+5=0 té per vector director (-2,3). Si passa pel punt (2,-2) la seva equació contínua és</em> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«mrow»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mi»y«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«mn»3«/mn»«/mfrac»«/mrow»«/mstyle»«/math» <em>d'on es poden deduir les altres equacions.</em></span></p> </td> </tr> <tr> <td colspan="2" valign="top" width="50%"> <p><span style="text-decoration: underline; color: #003300;" data-mce-mark="1"><span style="font-weight: bold; font-size: small; text-decoration: underline;" data-mce-mark="1"><span style="font-weight: bold; font-size: small; text-decoration: underline;" data-mce-mark="1">AMB PENDENTS</span></span></span></p> <p style="text-align: justify;"><span style="color: #003300;"><strong><span style="font-size: small;">Una recta perpendicular a la recta r (de pendent m) té un pendent m' tal que:</span></strong></span></p> <p><span style="color: #003300;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»m«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»`«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»-«/mo»«mfrac mathcolor=¨#003300¨»«mn mathvariant=¨bold¨»1«/mn»«mi mathvariant=¨bold¨»m«/mi»«/mfrac»«/mrow»«/mstyle»«/math»</span></p> <p style="text-align: justify;"><span style="font-size: small;"><em>Exemple: Una recta perpendicular a r: =2x-1 té per pendent -1/2 i s'escriu <span style="color: #0000ff;">y</span> = -1/2·<span style="color: #ff0000;">x</span> + n. </em></span></p> <p style="text-align: justify;"><em><span style="color: #000000; font-size: small;"><span style="font-size: small;">Si passa pel punt (<span style="font-size: small; color: #ff0000;">2</span>,<span style="font-size: small; color: #0000ff;">-2</span>), substituint x i y es troba que <span style="font-size: small; color: #0000ff;">-2</span> = -1/2·<span style="font-size: small; color: #ff0000;">2</span> + n, o sigui n = -1. </span></span></em></p> <p style="text-align: justify;"><em><span style="color: #000000; font-size: small;"><span style="font-size: small;">L'equació explícita és doncs y = -1/2·x-1</span></span></em></p> </td> </tr> </tbody> </table> <p> </p> <div style="text-align: justify;"><span style="font-weight: bold; color: #ff6600; font-size: large;" data-mce-mark="1"> </span></div>
General feedback
Created / last saved
Created
by
Admin User
on
Thursday, 23 August 2018, 4:18 PM
Last saved
by
Admin User
on
Thursday, 23 August 2018, 4:18 PM
There are required fields in this form marked
.