Konjugatregeln: Skillnad mellan sidversioner

Från Wikiskola
Hoppa till navigering Hoppa till sök
VisuellWikitext
Rad 54: Rad 54:
   
   
   Denna är gjord med Geogebra, sparad som animerad gif, upladdad till WIKIMEDIA COMMONS och länkad hit.
   Denna är gjord med Geogebra, sparad som animerad gif, upladdad till WIKIMEDIA COMMONS och länkad hit.
  (a-b)(a+b) = a&#178; - b&#178;</p>
<applet name="ggbApplet" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
codebase="http://jars.geogebra.org/webstart/4.2/unsigned/"
width="1669" height="929">
<param name="ggbBase64" value="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" />
<param name="java_arguments" value="-Xmx1024m -Djnlp.packEnabled=true" />
<param name="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_algos.jar, geogebra_export.jar, geogebra_javascript.jar, jlatexmath.jar, jlm_greek.jar, jlm_cyrillic.jar, geogebra_properties.jar" />
<param name="cache_version" value="4.2.23.0, 4.2.23.0, 4.2.23.0, 4.2.23.0, 4.2.23.0, 4.2.23.0, 4.2.23.0, 4.2.23.0, 4.2.23.0, 4.2.23.0, 4.2.23.0" />
<param name="showResetIcon" value="false" />
<param name="enableRightClick" value="false" />
<param name="errorDialogsActive" value="true" />
<param name="enableLabelDrags" value="false" />
<param name="showMenuBar" value="false" />
<param name="showToolBar" value="false" />
<param name="showToolBarHelp" value="false" />
<param name="showAlgebraInput" value="false" />
<param name="useBrowserForJS" value="true" />
<param name="allowRescaling" value="true" />
Detta är en Java Applet skapad med GeoGebra från www.geogebra.org - det verkar som om du inte har Java installerat på din dator, vänligen besök www.java.com
This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com
</applet>


=== Uppgifter ===
=== Uppgifter ===

Versionen från 3 mars 2013 kl. 18.19

Konjugatregeln

   Så här ser den ut:

   a2-b2 = (a-b)(a+b) 

   utför multiplikationen:

   (a - b)(a + b) = a2 + ab - ba - b2

   vi kan stryka ab - ba = ab - ab = 0:

   (a - b)(a + b) = a2 - b2

   V.S.B.

Konjugatregeln med <math> [math]\displaystyle{ \LaTeX }[/math] </math>

   Så här ser beviset ut:

   [math]\displaystyle{ (a-b)\cdot(a+b)  }[/math]

   [math]\displaystyle{ = a^2 +a\cdot b -a\cdot b -b^2  }[/math]

   [math]\displaystyle{ = a^2-b^2  }[/math]

   [math]\displaystyle{ \blacksquare }[/math]

Film

Bondestam (tv) respektive Matteboken (th) förklarar:

Load video
YouTube
Load video
YouTube


Geometriskt bevis av konjugatregeln

Första beviset

Andra beviset

Visualisering 

  Här gäller:

  [math]\displaystyle{ (x-y)\cdot(x+y) = x^2 - y^2  }[/math]

  Denna är gjord med Geogebra, sparad som animerad gif, upladdad till WIKIMEDIA COMMONS och länkad hit.

(a-b)(a+b) = a² - b²

<applet name="ggbApplet" code="geogebra.GeoGebraApplet" archive="geogebra.jar" codebase="http://jars.geogebra.org/webstart/4.2/unsigned/" width="1669" height="929"> <param name="ggbBase64" value="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" /> <param name="java_arguments" value="-Xmx1024m -Djnlp.packEnabled=true" /> <param name="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_algos.jar, geogebra_export.jar, geogebra_javascript.jar, jlatexmath.jar, jlm_greek.jar, jlm_cyrillic.jar, geogebra_properties.jar" /> <param name="cache_version" value="4.2.23.0, 4.2.23.0, 4.2.23.0, 4.2.23.0, 4.2.23.0, 4.2.23.0, 4.2.23.0, 4.2.23.0, 4.2.23.0, 4.2.23.0, 4.2.23.0" /> <param name="showResetIcon" value="false" /> <param name="enableRightClick" value="false" /> <param name="errorDialogsActive" value="true" /> <param name="enableLabelDrags" value="false" /> <param name="showMenuBar" value="false" /> <param name="showToolBar" value="false" /> <param name="showToolBarHelp" value="false" /> <param name="showAlgebraInput" value="false" /> <param name="useBrowserForJS" value="true" /> <param name="allowRescaling" value="true" /> Detta är en Java Applet skapad med GeoGebra från www.geogebra.org - det verkar som om du inte har Java installerat på din dator, vänligen besök www.java.com

This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com </applet>

Uppgifter

Övningar (utan räknare) 

  1. [math]\displaystyle{ 1992\cdot 2008 = ? }[/math]

  2.  Lös  [math]\displaystyle{ x^2-1=0 }[/math] för alla reella x.
Öva på Khan: Khan: Parentesmultiplikation

Hunnet så här långt kan vi repetera genom att lösa lite uppgifter på Khan Academy. De är dels av typen (a+b)(c+d) men också sådana som tillämpar kvadreringsregeln.

Khan om hur man multiplicerar binom ska du verkligen öva på.


Webbmatte

Hämtad från ”https://wikiskola.se/index.php?title=Konjugatregeln&oldid=21749”