https://mathonline.se/index.php?action=history&feed=atom&title=3.6_Anv%C3%A4ndning_av_andragradsekvationer 3.6 Användning av andragradsekvationer - Versionshistorik 2026-06-28T05:08:46Z Versionshistorik för denna sida på wikin MediaWiki 1.23.1 https://mathonline.se/index.php?title=3.6_Anv%C3%A4ndning_av_andragradsekvationer&diff=14192&oldid=prev Taifun den 15 maj 2024 kl. 12.26 2024-05-15T12:26:53Z <p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 15 maj 2024 kl. 12.26</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 67:</td> <td colspan="2" class="diff-lineno">Rad 67:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[Matte:Copyrights|Copyright]] © <del class="diffchange diffchange-inline">2022 [https://www.techpages.se </del>&lt;b&gt;&lt;span style=&quot;color:blue&quot;&gt;<del class="diffchange diffchange-inline">TechPages </del>AB&lt;/span&gt;&lt;/b&gt;<del class="diffchange diffchange-inline">]</del>. 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All Rights Reserved.</div></td></tr> </table> Taifun https://mathonline.se/index.php?title=3.6_Anv%C3%A4ndning_av_andragradsekvationer&diff=14126&oldid=prev Taifun den 10 maj 2024 kl. 12.13 2024-05-10T12:13:59Z <p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 10 maj 2024 kl. 12.13</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 2:</td> <td colspan="2" class="diff-lineno">Rad 2:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{| border=&quot;0&quot; 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border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>| style=&quot;border-bottom:1px solid #797979&quot; width=&quot;5px&quot; | &amp;nbsp;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[3.5 Allmänna lösningsmetoder för 2:a gradsekvationer<del class="diffchange diffchange-inline">: p-q formeln och Vieta</del>| &lt;&lt;&amp;nbsp;&amp;nbsp;Förra avsnitt]]}}</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[3.5 Allmänna lösningsmetoder för 2:a gradsekvationer| &lt;&lt;&amp;nbsp;&amp;nbsp;Förra avsnitt]]}}</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; 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width=&quot;5px&quot; | &amp;nbsp;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>| style=&quot;border-bottom:1px solid #797979&quot; width=&quot;5px&quot; | &amp;nbsp;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[3.<del class="diffchange diffchange-inline">6 Komplexa tal</del>| &lt;&lt;&amp;nbsp;&amp;nbsp;Förra avsnitt]]}}</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[3.<ins class="diffchange diffchange-inline">5 Allmänna lösningsmetoder för 2:a gradsekvationer: p-q formeln och Vieta</ins>| &lt;&lt;&amp;nbsp;&amp;nbsp;Förra avsnitt]]}}</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; 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font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[3.<ins class="diffchange diffchange-inline">6 </ins>Övningar till Användning av andragradsekvationer|Övningar]]}}</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[3.<del class="diffchange diffchange-inline">8 </del>Andragradsfunktioner|Nästa avsnitt&amp;nbsp;&amp;nbsp;&gt;&gt; ]]}}</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[3.<ins class="diffchange diffchange-inline">7 </ins>Andragradsfunktioner|Nästa avsnitt&amp;nbsp;&amp;nbsp;&gt;&gt; ]]}}</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>| style=&quot;border-bottom:1px solid #797979&quot;&#160; width=&quot;100%&quot;| &amp;nbsp;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>| style=&quot;border-bottom:1px solid #797979&quot;&#160; width=&quot;100%&quot;| &amp;nbsp;</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>|}</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>|}</div></td></tr> </table> Taifun https://mathonline.se/index.php?title=3.6_Anv%C3%A4ndning_av_andragradsekvationer&diff=1248&oldid=prev Taifun: Skapade sidan med '__NOTOC__ {| border="0" cellspacing="0" cellpadding="0" height="30" width="100%" | style="border-bottom:1px solid #797979" width="5px" | &nbsp; {{Not selected tab|3.6 Komple...' 2022-03-19T18:38:05Z <p>Skapade sidan med &#039;__NOTOC__ {| border=&quot;0&quot; cellspacing=&quot;0&quot; cellpadding=&quot;0&quot; height=&quot;30&quot; width=&quot;100%&quot; | style=&quot;border-bottom:1px solid #797979&quot; width=&quot;5px&quot; |   {{Not selected tab|3.6 Komple...&#039;</p> <p><b>Ny sida</b></p><div>__NOTOC__<br /> {| border=&quot;0&quot; cellspacing=&quot;0&quot; cellpadding=&quot;0&quot; height=&quot;30&quot; width=&quot;100%&quot;<br /> | style=&quot;border-bottom:1px solid #797979&quot; width=&quot;5px&quot; | &amp;nbsp;<br /> {{Not selected tab|[[3.6 Komplexa tal| &lt;&lt;&amp;nbsp;&amp;nbsp;Förra avsnitt]]}}<br /> {{Selected tab|[[3.7 Användning av andragradsekvationer|Genomgång]]}}<br /> {{Not selected tab|[[3.7 Övningar till Användning av andragradsekvationer|Övningar]]}}<br /> {{Not selected tab|[[3.8 Andragradsfunktioner|Nästa avsnitt&amp;nbsp;&amp;nbsp;&gt;&gt; ]]}}<br /> | style=&quot;border-bottom:1px solid #797979&quot; width=&quot;100%&quot;| &amp;nbsp;<br /> |}<br /> <br /> <br /> == &lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;Gräsmattan med 2:a gradsekvation&lt;/span&gt;&lt;/b&gt; ==<br /> <br /> <br /> &lt;div class=&quot;ovnE&quot;&gt;<br /> &lt;div style=&quot;border:1px solid black;display:inline-table;margin-left: 0px;&quot;&gt; [[Image: 3_7_Tillampn_Grasmatta_1a.jpg]] &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> <br /> &lt;div class=&quot;ovnE&quot;&gt;<br /> &lt;big&gt;&lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;Gräsmattans nya mått:&lt;/span&gt;&lt;/b&gt;<br /> ---- <br /> &lt;math&gt; \begin{array}{lll} {\rm Längden:} \quad 27 \, + \, 2 \cdot 4,5 &amp; = &amp; 36 \\<br /> {\rm Bredden:} \quad 18 \, + \, 2 \cdot 4,5 &amp; = &amp; 27 <br /> \end{array}&lt;/math&gt;<br /> ----<br /> &lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;Kontroll:&lt;/span&gt;&lt;/b&gt;<br /> <br /> &lt;math&gt; \begin{array}{lllll} A_g : \quad 27 \cdot 18 &amp; = &amp; 486 &amp; &amp; \\<br /> A_n : \quad 36 \cdot 27 &amp; = &amp; 972 &amp; = &amp; 2 \cdot 486 <br /> \end{array}&lt;/math&gt;<br /> &lt;/big&gt;<br /> &lt;/div&gt;<br /> <br /> <br /> == &lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;Gräsmattan (modifierad) med en annan metod&lt;/span&gt;&lt;/b&gt; ==<br /> <br /> <br /> &lt;div class=&quot;ovnC&quot;&gt;<br /> &lt;div style=&quot;border:1px solid black;display:inline-table;margin-left: 0px;&quot;&gt; [[Image: 3_7_Tillampn_Grasmatta_2.jpg]] &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> <br /> &lt;div class=&quot;ovnC&quot;&gt;<br /> &lt;big&gt;&lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;Gräsmattans nya mått:&lt;/span&gt;&lt;/b&gt;<br /> ---- <br /> &lt;math&gt; \begin{array}{lll} {\rm Längden:} \quad 27 \cdot \sqrt 2 &amp; = &amp; 38,18 \\<br /> {\rm Bredden:} \quad 18 \cdot \sqrt 2 &amp; = &amp; 25,46 <br /> \end{array}&lt;/math&gt;<br /> ----<br /> &lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;Kontroll:&lt;/span&gt;&lt;/b&gt;<br /> <br /> &lt;math&gt; \begin{array}{lllll} A_g : \quad 27 \cdot 18 &amp; = &amp; 486 &amp; &amp; \\<br /> A_n : \quad 38,18 \, \cdot \, 25,46 &amp; = &amp; 972 &amp; = &amp; 2 \cdot 486 <br /> \end{array}&lt;/math&gt;<br /> &lt;/big&gt;<br /> &lt;/div&gt;<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> [[Matte:Copyrights|Copyright]] © 2022 [https://www.techpages.se &lt;b&gt;&lt;span style=&quot;color:blue&quot;&gt;TechPages AB&lt;/span&gt;&lt;/b&gt;]. 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