Autor: Márcio Bandeira | Publicado: 2015-03-28T09:44:00-07:00




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" o:spid="_x0000_s1026" strokecolor="#d8d8d8 [2732]" strokeweight="2pt" style="height: 93.95pt; left: 0; margin-left: 17.25pt; margin-top: -5.6pt; mso-position-horizontal-relative: text; mso-position-horizontal: absolute; mso-position-vertical-relative: text; mso-position-vertical: absolute; mso-wrap-distance-bottom: 0; mso-wrap-distance-left: 9pt; mso-wrap-distance-right: 9pt; mso-wrap-distance-top: 0; mso-wrap-style: square; position: absolute; text-align: left; v-text-anchor: middle; visibility: visible; width: 487.3pt; z-index: -251657216;">COLÉGIO
MODELO LUÍS EDUARDO MAGALHÃES



SÉRIE: 1º ANO&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; TURMA:
A, B e C&nbsp;&nbsp;&nbsp;&nbsp; TURNO: VESPERTINO&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; DATA: __/03/2015



DISCIPLINA: MATEMÁTICA&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; PROFESSOR:
MÁRCIO BANDEIRA

1ª AVALIAÇÃO – I
UNIDADE

1.&nbsp;&nbsp;&nbsp;
(Enem) Um professor dividiu a lousa da sala de
aula em quatro partes iguais. Em seguida, preencheu 75% dela com conceitos e
explicações, conforme a figura seguinte.




 

  
  


  
  


  
  


  
  


 


&nbsp;Algum tempo depois, o professor apagou a lousa por completo,
e, adotando um procedimento semelhante ao anterior, voltou a preenchê-la, mas,
dessa vez, utilizando 40% do espaço.



Uma representação possível para essa segunda situação é:

<!--[if !supportLists]-->a.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;a

 

  
  


  
  


  
  


  
  


 


<!--[if !supportLists]-->b.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <!--[endif]-->&nbsp;b

 

  
  


  
  


  
  


  
  


 


<!--[if !supportLists]-->c.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <!--[endif]-->&nbsp;c

 

  
  


  
  


  
  


  
  


  
  


 


<!--[if !supportLists]-->d.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <!--[endif]-->&nbsp;d

 

  
  


  
  


  
  


  
  


  
  


 


<!--[if !supportLists]-->e.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <!--[endif]-->&nbsp;e

 

  
  


  
  


  
  


  
  


  
  


 




<!--[if !supportLists]-->2.&nbsp;&nbsp;&nbsp;
<!--[endif]-->Lembrando que qualquer número par p sempre pode
ser escrito na forma p = 2n, em que n é natural, prove que a soma de dois
números pares resulta em um número par.

&nbsp;&nbsp;

<!--[if !supportLists]-->3.&nbsp;&nbsp;&nbsp;
<!--[endif]-->Determine a geratriz <!--[if gte msEquation 12]><span
   style='font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
   normal'><i style='mso-bidi-font-style:
   normal'>a<i
   style='mso-bidi-font-style:normal'>b<![endif]--><!--[if !msEquation]-->
 
 
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 

 
<!--[endif]-->&nbsp;dos seguintes decimais periódicos:

<!--[if !supportLists]-->a.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <!--[endif]-->0,333...

<!--[if !supportLists]-->b.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <!--[endif]-->0,1666...

<!--[if !supportLists]-->c.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <!--[endif]-->0,242424...

<!--[if !supportLists]-->d.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <!--[endif]-->0,125777...



<!--[if !supportLists]-->4.&nbsp;&nbsp;&nbsp;
<!--[endif]-->Se P corresponde ao número -127, Q corresponde
ao número 238 e M corresponde ao número -31, calcule PQ, PM e MQ.

&nbsp;&nbsp;

<!--[if !supportLists]-->5.&nbsp;&nbsp;&nbsp;
<!--[endif]-->Classificar em verdadeira ou falsa cada uma das sentenças
a seguir. Justifique a sua escolha.

<!--[if !supportLists]-->a.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <!--[endif]-->x
= 5 → x2
= 25

<!--[if !supportLists]-->b.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <!--[endif]-->x2
= 25 → x = 5

&nbsp;&nbsp;

<!--[if !supportLists]-->6.&nbsp;&nbsp;&nbsp;
<!--[endif]-->Se o quociente de um número inteiro p por um
número inteiro não nulo q é igual a uma dízima periódica, dizemos que <!--[if gte msEquation 12]><span
   style='font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
   normal'><i style='mso-bidi-font-style:
   normal'>p<i
   style='mso-bidi-font-style:normal'>q<![endif]--><!--[if !msEquation]-->
 
<!--[endif]-->&nbsp;é
a fração geratriz dessa dízima periódica. De acordo com essa definição,
determinar a fração geratriz da dízima periódica 2,555....

&nbsp;&nbsp;

<!--[if !supportLists]-->7.&nbsp;&nbsp;&nbsp;
<!--[endif]-->Em certo período, o fluxo de pessoas em um
aeroporto variou de 1600 a 3120 pessoas por hora. Indicando por x o número de
pessoas em uma hora qualquer desse período, classificar em verdadeira ou falsa
cada afirmação.

<!--[if !supportLists]-->a.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <!--[endif]-->x
é um número racional.

<!--[if !supportLists]-->b.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <!--[endif]-->x
pode ser qualquer número racional, com 1.600 ≤ x ≤ 3.120.

<!--[if !supportLists]-->c.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <!--[endif]-->x pode assumir o valor <!--[if gte msEquation 12]><span
   style='font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
   mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
   font-style:italic;mso-bidi-font-style:normal'><i
   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math","serif";
   mso-bidi-font-family:"Times New Roman"'>18.183<i
   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math","serif";
   mso-bidi-font-family:"Times New Roman"'>11<![endif]--><!--[if !msEquation]-->
 
<!--[endif]-->.


<!--[if !supportLists]-->d.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <!--[endif]-->x pode assumir o valor <!--[if gte msEquation 12]><span
   style='font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
   mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
   font-style:italic;mso-bidi-font-style:normal'><i
   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math","serif";
   mso-bidi-font-family:"Times New Roman"'>4.805<i
   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math","serif";
   mso-bidi-font-family:"Times New Roman"'>2<![endif]--><!--[if !msEquation]-->
 
<!--[endif]-->.