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         <title><![CDATA[NIVELUL II]]></title>
        <description><![CDATA[Această categorie cuprinde exerciţii şi probleme (clasa a 10-a)&nbsp;cu rezolvări &icirc;n care au fost strecurate &icirc;n mod deliberat&nbsp;diferite greşeli de calcul, au fost omise unele condiţii de existenţă, etape de raţionament , sau&nbsp;unele cazuri posibile.&nbsp;Citind cu atenţie &quot;rezolvarea&quot; propusă, găsiţi greşelile!]]></description>
        <link>http://www.profesoronline.ro/nivelul_ii.html?axBA2064xABexBA45</link>
        <lastBuildDate>Thu, 25 Mar 2010 15:59:38 +0200</lastBuildDate>
        <pubDate>Thu, 25 Mar 2010 15:59:38 +0200</pubDate>
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					<title><![CDATA[PROBA-5]]></title>
					<description><![CDATA[Suport teoretic: Radical de ordin par / impar dintr-un numar real, functia arcsinus, inecuatie trigonometrica.Enunt:Sa se rezolve, in multimea numerelor reale, inecuatia trigonometrica: $latex ##sqrt[3]{{arcsinx}-##pi}&gt;##sqrt[6]{{arcsinx+{##pi}^2}}.$Rezolvare gresita:$latex ##sqrt[3]{{arcsinx}...]]></description>
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					<pubDate>Sun, 22 Nov 2009 22:11:00 +0200</pubDate>
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					<title><![CDATA[PROBA-4]]></title>
					<description><![CDATA[Suport teoretic: Periodicitatea functiilor trigonometrice.Enunt:Sa se arate ca functia $latex f:{##mathbb{R}}##rightarrow{##mathbb{R}},$ $latex f(x)=2sin3x+3cos2x$ este periodica si sa se precizeze perioada principala $latex T_p.$Rezolvare gresita:$latex Fie##;T&gt;0,##;astfel##;{incat}##;f(x+T)=...]]></description>
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					<pubDate>Sun, 22 Nov 2009 22:10:00 +0200</pubDate>
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					<title><![CDATA[PROBA-2]]></title>
					<description><![CDATA[Suport teoretic: Inecuatii logaritmice.Enunt:Sa se rezolve in multimea numerelor reale inecuatia:$latex lg(x^2+1)-lg(x^2-1)&gt;1.$Rezolvare gresita: $latex {lg(x^2+1)-lg(x^2-1)&gt;1}##Leftrightarrow{lg{##frac{x^2+1}{x^2-1}}&gt;lg{10}}$ $latex ##Leftrightarrow{##frac{x^2+1}{x^2-1}&gt;10}$ $latex #...]]></description>
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					<pubDate>Sun, 22 Nov 2009 22:10:00 +0200</pubDate>
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					<title><![CDATA[PROBA-3]]></title>
					<description><![CDATA[Suport teoretic: Numere reale,&nbsp;relatia de ordine, numere complexe nereale.Enunt:Fie echivalentele:$latex {{2&gt;0},##;adevarat}##Leftrightarrow{1+1&gt;0}##Leftrightarrow{1&gt;-1}##Leftrightarrow{{i^4}&gt;{i^2}}##Leftrightarrow{{i^2}&gt;1}##Leftrightarrow{-1&gt;1}##Leftrightarrow{{-2&gt;0},##...]]></description>
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					<pubDate>Sun, 22 Nov 2009 22:10:00 +0200</pubDate>
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					<title><![CDATA[PROBA-1]]></title>
					<description><![CDATA[Suport teoretic: Ecuatii trigonometrice.Enunt:Sa se rezolve, in multimea numerelor reale, ecuatia:$latex ##frac{1-{cos}^2x}{2sinx+1}=##sqrt{##frac{1-cos2x}{2}}.$Rezolvare gresita: Se scrie ecuatia sub forma:$latex ##frac{{sin}^2x}{2sinx+1}=sinx,$ se simplifica prin sinx si se obtine in final $lat...]]></description>
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					<pubDate>Sun, 22 Nov 2009 22:09:00 +0200</pubDate>
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