<?xml version="1.0" encoding="utf-8"?><?xml-stylesheet type='text/xsl' href='general.xsl'?><root><task id="20039" type="1" title="Задание по теме &quot;Параллельные прямые в пространстве&quot;" task="В правильной четырёхугольной пирамиде &lt;img src=&quot;../../_Content/MathML/EduTask_Node/Task/20039/out1-0.gif&quot; alt=&quot;&quot; class=&quot;mmlimage&quot; height=&quot;46&quot; width=&quot;81&quot; align=&quot;middle&quot; /&gt;, все рёбра которой равны, точка &lt;img src=&quot;../../_Content/MathML/EduTask_Node/Task/20039/out1-1.gif&quot; alt=&quot;&quot; class=&quot;mmlimage&quot; height=&quot;46&quot; width=&quot;21&quot; align=&quot;middle&quot; /&gt; ––  середина ребра &lt;img src=&quot;../../_Content/MathML/EduTask_Node/Task/20039/out1-2.gif&quot; alt=&quot;&quot; class=&quot;mmlimage&quot; height=&quot;46&quot; width=&quot;34&quot; align=&quot;middle&quot; /&gt;. Прямая &lt;img src=&quot;../../_Content/MathML/EduTask_Node/Task/20039/out1-3.gif&quot; alt=&quot;&quot; class=&quot;mmlimage&quot; height=&quot;46&quot; width=&quot;8&quot; align=&quot;middle&quot; /&gt; проходит через точку &lt;img src=&quot;../../_Content/MathML/EduTask_Node/Task/20039/out1-1.gif&quot; alt=&quot;&quot; class=&quot;mmlimage&quot; height=&quot;46&quot; width=&quot;21&quot; align=&quot;middle&quot; /&gt; параллельно диагонали &lt;img src=&quot;../../_Content/MathML/EduTask_Node/Task/20039/out1-5.gif&quot; alt=&quot;&quot; class=&quot;mmlimage&quot; height=&quot;46&quot; width=&quot;34&quot; align=&quot;middle&quot; /&gt; основания &lt;img src=&quot;../../_Content/MathML/EduTask_Node/Task/20039/out1-6.gif&quot; alt=&quot;&quot; class=&quot;mmlimage&quot; height=&quot;46&quot; width=&quot;67&quot; align=&quot;middle&quot; /&gt; пирамиды и пересекает плоскость &lt;img src=&quot;../../_Content/MathML/EduTask_Node/Task/20039/out1-7.gif&quot; alt=&quot;&quot; class=&quot;mmlimage&quot; height=&quot;46&quot; width=&quot;48&quot; align=&quot;middle&quot; /&gt; в точке &lt;img src=&quot;../../_Content/MathML/EduTask_Node/Task/20039/out1-8.gif&quot; alt=&quot;&quot; class=&quot;mmlimage&quot; height=&quot;46&quot; width=&quot;18&quot; align=&quot;middle&quot; /&gt;. Вычислите площадь треугольника &lt;img src=&quot;../../_Content/MathML/EduTask_Node/Task/20039/out1-9.gif&quot; alt=&quot;&quot; class=&quot;mmlimage&quot; height=&quot;46&quot; width=&quot;48&quot; align=&quot;middle&quot; /&gt;, если длина отрезка &lt;img src=&quot;../../_Content/MathML/EduTask_Node/Task/20039/out1-10.gif&quot; alt=&quot;&quot; class=&quot;mmlimage&quot; height=&quot;46&quot; width=&quot;37&quot; align=&quot;middle&quot; /&gt; равна 5 см" content="&lt;V&gt; 25 см&lt;sup&gt;2&lt;/sup&gt;&lt;/V&gt;&lt;br /&gt;&lt;V&gt; 100 см&lt;sup&gt;2&lt;/sup&gt;&lt;/V&gt;&lt;br /&gt;&lt;V&gt; &lt;img src=&quot;../../_Content/MathML/EduTask_Node/Content/20039/out1-0.gif&quot; alt=&quot;&quot; class=&quot;mmlimage&quot; height=&quot;56&quot; width=&quot;98&quot; align=&quot;middle&quot; /&gt;&lt;/V&gt;&lt;br /&gt;" rightanswer="1" delimit="" /></root>