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    <dc:title>N&amp;#x00FA;meros Complexos</dc:title>
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<title>N&amp;#x00FA;meros Complexos</title>

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<questions><question-record><question>Completa a frase.
Seja z = a + ib um n&amp;#x00FA;mero complexo. As constantes a e b </question><clue></clue><category></category><weighting>100</weighting><fixed>0</fixed><question-type>1</question-type><answers><answer><text>representam, respetivamente, a parte complexa e a parte real.</text><feedback></feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>s&amp;#x00E3;o ambas nulas.</text><feedback>Para que z seja um n&amp;#x00FA;mero complexo b nunca pode tomar o valor zero.</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>representam, respetivamente, a parte real e a parte complexa.</text><feedback></feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>tomam valores reais.</text><feedback></feedback><correct>1</correct><percent-correct>100</percent-correct><include-in-mc-options>1</include-in-mc-options></answer></answers></question-record><question-record><question>Qual destes matem&amp;#x00E1;ticos n&amp;#x00E3;o contribuiu para o desenvolvimento dos complexos.&amp;#x003C;img src=&quot;matem&amp;#x00E1;ticos.jpg&quot; alt=&quot;matem&amp;#x00E1;ticos.jpg&quot; title=&quot;matem&amp;#x00E1;ticos&quot; width=&quot;400&quot; height=&quot;190&quot; style=&quot;display: block; margin-left: auto; margin-right: auto; text-align: center;&quot;&amp;#x003E;&amp;#x003C;/img&amp;#x003E;</question><clue></clue><category></category><weighting>100</weighting><fixed>0</fixed><question-type>1</question-type><answers><answer><text>Girolamo Cardano</text><feedback>Girolamo Cardano foi o primeiro matem&amp;#x00E1;tico que referiu numa das suas obras os n&amp;#x00FA;meros complexos!</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>Carl Friedrich Gauss</text><feedback>Carl Friedrich Gauss introduziu o conceito de n&amp;#x00FA;mero complexo.</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>Pedro Nunes</text><feedback></feedback><correct>1</correct><percent-correct>100</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>Niccol&amp;#x00F2; Tartaglia</text><feedback>Niccol&amp;#x00F2; Tartaglia foi pioneiro na descoberta dos n&amp;#x00FA;meros complexos.</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer></answers></question-record><question-record><question>Qual o conjugado do n&amp;#x00FA;mero complexo 2+3i?</question><clue></clue><category></category><weighting>100</weighting><fixed>0</fixed><question-type>1</question-type><answers><answer><text>-2+3i</text><feedback>Ser&amp;#x00E1; a parte real que passa ao seu sim&amp;#x00E9;trico?</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>-2-3i</text><feedback>Ambas as partes passam ao seu sim&amp;#x00E9;trico?</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>2+3i</text><feedback></feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>2-3i</text><feedback></feedback><correct>1</correct><percent-correct>100</percent-correct><include-in-mc-options>1</include-in-mc-options></answer></answers></question-record><question-record><question>Seja z um n&amp;#x00FA;mero complexo da forma 3+2i. Qual o resultado da soma de z com o seu conjugado? </question><clue></clue><category></category><weighting>100</weighting><fixed>0</fixed><question-type>1</question-type><answers><answer><text>2i</text><feedback>Rev&amp;#x00EA; os c&amp;#x00E1;lculos, n&amp;#x00E3;o est&amp;#x00E3;o corretos!</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>6</text><feedback></feedback><correct>1</correct><percent-correct>100</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>4i</text><feedback>Qual &amp;#x00E9; o conjugado do n&amp;#x00FA;mero complexo z?</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>6+4i</text><feedback>Relembra a defini&amp;#x00E7;&amp;#x00E3;o de conjugado, uma das partes passa ao seu sim&amp;#x00E9;trico.</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer></answers></question-record><question-record><question>Seja z um n&amp;#x00FA;mero complexo da forma 3+2i. Qual o resultado da subtra&amp;#x00E7;&amp;#x00E3;o de z com o seu conjugado? </question><clue></clue><category></category><weighting>100</weighting><fixed>0</fixed><question-type>1</question-type><answers><answer><text>4i</text><feedback></feedback><correct>1</correct><percent-correct>100</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>0</text><feedback>O problema deve estar no sinais! Rev&amp;#x00EA; os c&amp;#x00E1;lculos!</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>6</text><feedback>Relembra a defini&amp;#x00E7;&amp;#x00E3;o do conjugado de um n&amp;#x00FA;mero complexo.</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>6+4i</text><feedback>Relembra a defini&amp;#x00E7;&amp;#x00E3;o do conjugado de um n&amp;#x00FA;mero complexo.</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer></answers></question-record><question-record><question>O resultado do produto  (5+7i)(3-2i) &amp;#x00E9; </question><clue></clue><category></category><weighting>100</weighting><fixed>0</fixed><question-type>1</question-type><answers><answer><text>1+11i</text><feedback></feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>1+31i</text><feedback></feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>29+11i</text><feedback></feedback><correct>1</correct><percent-correct>100</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>29-11i</text><feedback></feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer></answers></question-record><question-record><question>O complexo 2k+3i &amp;#x00E9; um imaigin&amp;#x00E1;rio puro se k tomar o valor</question><clue></clue><category></category><weighting>100</weighting><fixed>0</fixed><question-type>1</question-type><answers><answer><text>k = 1</text><feedback>Um n&amp;#x00FA;mero z &amp;#x00E9; um imagin&amp;#x00E1;rio puro se este s&amp;#x00F3; tiver parte complexa.</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>k = 0</text><feedback></feedback><correct>1</correct><percent-correct>100</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>k = 2</text><feedback>Um n&amp;#x00FA;mero z &amp;#x00E9; um imagin&amp;#x00E1;rio puro se este s&amp;#x00F3; tiver parte complexa.</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>k = 3</text><feedback>Um n&amp;#x00FA;mero z &amp;#x00E9; um imagin&amp;#x00E1;rio puro se este s&amp;#x00F3; tiver parte complexa.</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer></answers></question-record><question-record><question>O complexo k - (k+1)i &amp;#x00E9; um real  se k tomar o valor</question><clue></clue><category></category><weighting>100</weighting><fixed>0</fixed><question-type>1</question-type><answers><answer><text>k = -1</text><feedback></feedback><correct>1</correct><percent-correct>100</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>k = 0</text><feedback>Um n&amp;#x00FA;mero z &amp;#x00E9; um real  se este s&amp;#x00F3; tiver parte real.</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>k = 1</text><feedback>Um n&amp;#x00FA;mero z &amp;#x00E9; um real  se este s&amp;#x00F3; tiver parte real.</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>k = 2</text><feedback>Um n&amp;#x00FA;mero z &amp;#x00E9; um real  se este s&amp;#x00F3; tiver parte real.</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer></answers></question-record><question-record><question>Para que valores de k se tem 2 + 5ki = 2 + 10i ?</question><clue></clue><category></category><weighting>100</weighting><fixed>0</fixed><question-type>1</question-type><answers><answer><text>k=1</text><feedback>Dois n&amp;#x00FA;meros complexos dizem-se iguais qunado t&amp;#x00EA;m partes reais e partes imagin&amp;#x00E1;rias iguais.</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>k=2</text><feedback></feedback><correct>1</correct><percent-correct>100</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>k=3</text><feedback>Dois n&amp;#x00FA;meros complexos dizem-se iguais qunado t&amp;#x00EA;m partes reais e partes imagin&amp;#x00E1;rias iguais.</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>k=5</text><feedback>Dois n&amp;#x00FA;meros complexos dizem-se iguais qunado t&amp;#x00EA;m partes reais e partes imagin&amp;#x00E1;rias iguais.</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer></answers></question-record><question-record><question>Para que valores de k se tem 2k - 1 - 2ki = 4k + i?</question><clue></clue><category></category><weighting>100</weighting><fixed>0</fixed><question-type>1</question-type><answers><answer><text>k = -1/2</text><feedback></feedback><correct>1</correct><percent-correct>100</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>k = 1</text><feedback>Dois n&amp;#x00FA;meros complexos dizem-se iguais qunado t&amp;#x00EA;m partes reais e partes imagin&amp;#x00E1;rias iguais.</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>k = 1/2</text><feedback>Dois n&amp;#x00FA;meros complexos dizem-se iguais qunado t&amp;#x00EA;m partes reais e partes imagin&amp;#x00E1;rias iguais.</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>k = -1</text><feedback>Dois n&amp;#x00FA;meros complexos dizem-se iguais qunado t&amp;#x00EA;m partes reais e partes imagin&amp;#x00E1;rias iguais.</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer></answers></question-record><question-record><question>Observe a imagem. Qual das seguintes opera&amp;#x00E7;&amp;#x00F5;es pode ser traduzida pela representa&amp;#x00E7;&amp;#x00E3;o geom&amp;#x00E9;trica da imagem anterior. &amp;#x003C;img src=&quot;Sem T&amp;#x00ED;tulo.jpg&quot; alt=&quot;Sem T&amp;#x00ED;tulo.jpg&quot; title=&quot;Sem T&amp;#x00ED;tulo&quot; width=&quot;247&quot; height=&quot;250&quot; style=&quot;display: block; margin-left: auto; margin-right: auto; text-align: center;&quot;&amp;#x003E;&amp;#x003C;/img&amp;#x003E;</question><clue></clue><category></category><weighting>100</weighting><fixed>0</fixed><question-type>1</question-type><answers><answer><text>Produto</text><feedback>A imagem representa a regra do paralelogramo, onde &amp;#x00E9; que esta &amp;#x00E9; utilizada!</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>Adi&amp;#x00E7;&amp;#x00E3;o</text><feedback></feedback><correct>1</correct><percent-correct>100</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>Divis&amp;#x00E3;o</text><feedback>A imagem representa a regra do paralelogramo, onde &amp;#x00E9; que esta &amp;#x00E9; utilizada!</feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer><answer><text>Subtra&amp;#x00E7;&amp;#x00E3;o</text><feedback></feedback><correct>0</correct><percent-correct>0</percent-correct><include-in-mc-options>1</include-in-mc-options></answer></answers></question-record></questions>
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