﻿<?xml version="1.0" encoding="UTF-8"?>
<item testStyle="default" timeLimit="1800" attemptLimit="5" >
	<controls>
		<group id="Eq1" type="xFormula">
			<elements>
				<element><string id='s1'></string></element>
			</elements>
			<choices>
				<choice id="c1" status="correct" bonus="100">
					<response/>
					<varValueNode>
						<item minValue='-10' maxValue='-4'></item>
						<item minValue='0' maxValue='0.354'></item>
						<item minValue='6' maxValue='9'></item>
					</varValueNode>
					<math>
					<apply>
					<divide/>
						<cn>-1</cn>
						<cn>2</cn>
					</apply>
					</math>
				</choice>
				<choice bonus="0">
					<response/>			
				</choice>
			</choices>
		</group>
		<feedbacks>
			<feedback value="c1"><p align="center"><font size="4" color="green"><b>Верно! Задача решена!</b></font></p></feedback>
			<feedback><p align="center"><font size="4" color="red"><b>Ошибка!</b></font></p></feedback>
		</feedbacks>
	</controls>
	
	
<title align="center">
<p align="center"><font face="verdana" color="navy" size="17pt"><b>Задача 3.6.1</b></font></p>

</title>

<body framecolor="aliceblue" bgcolor="#bbeeff"><font size="15pt">

<p align='center'><br/>При каком наименьшем значении параметра <font face="times" size="20pt"><i>a</i></font> система уравнений <br/><font face="times" size="16pt"><brackets style='brace' which='left' height='auto'>
<table valign="middle" align='left' cellspacing='0' cellpadding="0">
<tr><td><font face="times" size="15pt"><i>ax</i><sup>2</sup> + 6<i>ax</i> – <sqrt>3</sqrt><i>y</i> + 12<i>a</i> + <sqrt>3</sqrt> = 0</font></td></tr>
<tr><td><font face="times" size="15pt"><i>ay</i><sup>2</sup> – <sqrt>3</sqrt><i>x</i> – 2<i>ay</i> + 4<i>a</i> – 3<sqrt>3</sqrt> = 0</font></td></tr>
</table></brackets></font> имеет единственное решение?<br/><br/><br/><br/></p>

<p align="center">
<table border="0" BGCOLOR="#bbeeff" height="70" width="200">
<tr><td align="center">
<font face="verdana" color="navy"><b>Ответ:</b></font>&nbsp;&nbsp;<font face="times" size="20pt"><i>a</i>&nbsp;=&nbsp;</font><control value="Eq1" vShift="0" scale="75"/>
</td></tr>
</table>
</p>

</font></body>
	<buttons>
		<button id="bnOK" caption="Подтвердить ответ"/>
		<button id="bnReset" caption="Сбросить"/>
		<button id="bnClose" caption="Закрыть" icon="false"/>	
		<infoLineReaction width="500"/>		
		<sequence position="left" gap="150" buttons="[bnReset][infolineAT]"/>
		<sequence position="center" gap="5" buttons="[infoLineReaction]"/>
		<sequence position="right" gap="5" buttons="[bnOK]"/>
	</buttons>
	<infoWindows>
		<infoWindow id="iwResponse" width="300">
		<br/>
			<scope id="contentFeedback">
				<scope id="contentFeedback">
					<contentFeedback/>
				</scope>
			</scope>
			<scope id="noMoreAttempts">
				<p align="center"><font size="4" color="red"><br/><b>Больше попыток нет</b></font></p>
			</scope>
			<br/>
		</infoWindow>

<infoWindow id="iwNoMoreTime" width="300">
			<font size="4" color="red" face="Arial">
			<p align="center"><br/><b>Время, отведённое на решение, закончилось</b><br/></p>
			</font>										
		</infoWindow>

</infoWindows>

</item>