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7/25/2019 Examen Final de Preguntas Abiertas
1/3
ESCUELA SECUNDARIA FEDERAL No. 4 CICLO ESCOLAR 2015-2016
EXAMEN FINAL DE PREGUNTAS ABIERTAS.
ACADEMIA MATEMTICAS. SEGUNDO GRADO
Apr!"#$%& 'pr%"o. B(o)* I.
R'*(+ pro,(%' )* #p(#%! ( *'o " (%' (/' " (o' po!!' / !o%#! #!3#%.
1. D %*r"o o! (%' '#*#!' opr%#o!'. I"!##)* % r%+7' " !rr%r ! *!r8!*(o ! *8( " (o' %'o' ' *#(#$% (% (/ " (o' '#!o' orr%!.
CASO I CASO II CASO III
94: ; 94:< ;= 9-5: - 9-2:< ;10 9-1: ; 9;2:< ;1
9-2: - 9-1:< ;2 9-6: 9;4:< -24 9-4: 95:< -20
9>: - 9-4:< -1 9=: ? 94:< -2 9-6: . 9-6:6
9-@: ; 96:< -54 9-2=: ? 9-:< -4 9-2: - 92:< -4
D'r#,% ( pro'o *#(#$%"o )* ( pr#% '*'!%r '* r'p*'%
RBRICA.
%(or 4 S# (% r'p*'% '(#o!%"% ' ( %'o III %"8' " '*'!%r (%r'p*'% orr% ! ,%' % opr%#o!' o !*!#%!"o (% (/ " '#!o'
%(or > S# (% r'p*'% '(#o!%"% ' ( %'o III / !*!#% %( !o' *!% " (%'%r%r3'#%' " (% (/ " '#!o' o ' pr#,! !o#o!' "o!o##!o' "( %
%(or 2 S# (% r'p*'% '(#o!%"% ' ( %'o III '#! ,%ro !o !*!#% (pro'o )* '*'! '* (#! o ,#! !*!#% (% (/ " '#!o' pro
!o *,o '(#! orr% "( %'o%(or 1 S# (% r'p*'% !o ' ( %'o III !# '%,( %r*!o' +8(#"o' )*
%+%(! '* %!8(#'#'.Apr!"#$%& 'pr%"o. B(o)* II
R'*(+% pro,(%' o! (o' )* '% !'%r#o %(*(%r *%()*#r% " (%' +%r#%,(' " (%'r*(%' p%r% o,!r ( +o(*! " *,o' pr#'%' / p#r8#"' ro'.
2. C%(*(%r ( 8r% " (% ,%' " *! pr#'% *%"r%!*(%r o!o#!"o )* '* ,%' ' "6 / '* +o(*! ' " 150>.
ESUEMA O DIBUHO OPERACIONES
RESULTADO
D'r#,#r ( pro'o " 'o(*#!
RBRICA.
%(or 4 S# (% r'p*'% ' 252 pr'!% (%' opr%#o!' pr#!!' %"8'#"!##% ( pr#'% ! ( "#,*&o
%(or > S# (% r'p*'% ' 252 !o pr'!% (%' opr%#o!' pr#!!'%"8' #"!##% ( pr#'% ! ( "#,*&o
%(or 2 S# (% r'p*'% !o ' 252
pro pr'!% (%' opr%#o!' pr#!!'%"8' #"!##% ( pr#'% ! ( "#,*&o%(or 1 S# (% r'p*'% !o ' 252!# pr'!% (%' opr%#o!' pr#!!' 'o(o
7/25/2019 Examen Final de Preguntas Abiertas
2/3
ESCUELA SECUNDARIA FEDERAL No. 4 CICLO ESCOLAR 2015-2016
#"!##% ( pr#'% ! ( "#,*&oApr!"#$%& 'pr%"o. B(o)* III.
L / o*!#% #!or%#! "#%! #'or%%' / r8#%' po(#o!%('.
>.E! (% '#*#! r8#% ' pr'!%! (%' pr%*r%' " *!% %J%!% " #!+#r!o !C#*"%" H*8r$. KE!r )*7 or%' ' "#o ( %,#o " pr%*r% 8' !o%,(
E( %,#o " pr%*r% 8' !o%,( ' "#o !r (%' / (%' " (% %J%!%.
Ep(#)* % o!#!*%#! ( pro'o )* '#*# p%r% r'po!"r (o' 'p%#o'.
%(or 4 S# (% r'p*'% ' !r (%' 5 / (%' 6 " (% %J%!% / p(#% )*o,'r+ ! (% r8#% )* (% pr%*r% "'!"# *%ro r%"o' ! *!%or%.
%(or > S# (% r'p*'% ' orr% pro !o p(#% )* o,'r+ ! (% r8#% )*(% pr%*r% "'!"# *%ro r%"o' ! *!% or%
%(or 2 S# (% r'p*'% !o ' orr% pro "% *!% p(#%#! pr#!! p%r% (%r'p*'% orr% o *'r% #!"##o' " '%,r #!rpr%r (% r8#%.
%(or 1 S# (% r'p*'% !o ' orr% !# "% p(#%#! )* %p*! % (% r'p*'%orr%.
Apr!"#$%& 'pr%"o. B(o)* I.
I"!##% #!rpr% / pr'% r(%#o!' " propor#o!%(#"%" "#r% #!+r'%%(,r%#%! o "#%! %,(%' / r8#%'.
4. E! (% '#*#! r8#% ' pr'!% ( o'o "( o% '! (% %!#"%" " #(or%o')* ' +!"! ! *! r%"#o.
S# Sr#o ((+% 50. KC*8!o' #(or%o' op(o' " o% p*" opr%r
Ep(#)* r%(# (%' opr%#o!' / o,!% ( r'*(%"o
%(or 4 S# (% r'p*'% ' 6 / "% *!% p(#%#! )* #p(#)* *!% r(%#! "propor#o!%(#"%" "#r% %*!)* !o *#(# p(3#%! ' o!po
%(or > S# #! orr% (% r'p*'% pro !o "% *!% p(#%#! r(%#o!%"% o!((%
7/25/2019 Examen Final de Preguntas Abiertas
3/3
ESCUELA SECUNDARIA FEDERAL No. 4 CICLO ESCOLAR 2015-2016
%(or 2 S# #! (% r'p*'% #!orr% pro "% *!% p(#%#! r(%#o!%"% o!(% r'p*'% orr%
%(or 1 S# (% r'p*'% !o ' orr% !# "% p(#%#! r(%#o!%"% o! ((%Apr!"#$%& 'pr%"o. B(o)*
R'*(+% pro,(%' )* #p(#%! ( *'o " '#'%' " "o' *%#o!' o! "o' #!!#%'.
5. Por 5 ,o(o' p%r% ( #! / 4 ,o('%' o! p%(o#%' ' p%%! >@0 p'o' / por >,o(o' p%r% ( #'o #! / 2 ,o('%' o! p%(o#%' "( #'o %%Jo ' p%%! 220.KC*8!o *'% %"% ,o(o / %"% ,o('% o! p%(o#%'
U#(# *%()*#r pro"##!o p%r% r'o(+r *! '#'% " *%#o!'.
No% R*r" )* 'o! ( 7o"o r8#o '*% / r'% #*%(%#! / '*'#*#!.
%(or 4 S# (%' r'p*'%' 'o! %"% ,o(o *'% 50 p'o' / %"% ,o('% o!p%(o#%' *'% >5 p'o' / *'r% *! pro"##!o o! '#'% "*%#o!'
%(or > S# (%' r'p*'%' 'o! orr%' pro !o *'r% *! pro"##!o o!'#'% " *%#o!' o '# #! 'o(o *!% r'p*'% orr% / *'r%*! pro"##!o o! '#'% " *%#o!'.
%(or 2 S# #! (%' r'p*'%' #!orr%' por rror " 8(*(o o !o %/r'p*'% pro *'r% *! pro"##!o o! '#'% " *%#o!'.
%(or 1 S# (% r'p*'% !o ' orr% !# *'r% *! pro"##!o o! '#'%" *%#o!'