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DIBUJO
GEOM
ÉTRIC
ODE
SCRIP
TIVA
NORM
ALIZAC
IÓN
DIBUJODIBUJOTÉCNICOTÉCNICO II
EDITORIAL DONOSTIARRA
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GUÍA PRÁCTICA PARA EL ALUMNOSOLUCIONARIO
JOAQUÍN GONZALO GONZALO
EDITORIAL DONOSTIARRAPokopandegi, nº 4 - Pabellón Igaralde - Barrio Igara
Apartado 671 - Teléfonos 943 215 737 - 213 011 - Fax 943 219 52120018 - SAN SEBASTIÁN
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Texto adaptado a los currículos de Bachillerato, modalidades:Texto adaptado a los currículos de Bachillerato, modalidades:Texto adaptado a los currículos de Bachillerato, modalidades:Texto adaptado a los currículos de Bachillerato, modalidades:Texto adaptado a los currículos de Bachillerato, modalidades:
Tecnología, Artes y Ciencias de la Naturaleza y SaludTecnología, Artes y Ciencias de la Naturaleza y SaludTecnología, Artes y Ciencias de la Naturaleza y SaludTecnología, Artes y Ciencias de la Naturaleza y SaludTecnología, Artes y Ciencias de la Naturaleza y Salud
Texto adaptado a los currículos de Bachillerato, modalidades:Texto adaptado a los currículos de Bachillerato, modalidades:Texto adaptado a los currículos de Bachillerato, modalidades:Texto adaptado a los currículos de Bachillerato, modalidades:Texto adaptado a los currículos de Bachillerato, modalidades:
Tecnología, Artes y Ciencias de la Naturaleza y SaludTecnología, Artes y Ciencias de la Naturaleza y SaludTecnología, Artes y Ciencias de la Naturaleza y SaludTecnología, Artes y Ciencias de la Naturaleza y SaludTecnología, Artes y Ciencias de la Naturaleza y Salud
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Con este solucionario de la GUÍA PRÁCTICA PARA EL ALUMNO deDIBUJO TÉCNICO I de 1º de Bachillerato, tratamos de ahorrarle trabajoal profesor a la hora de corregir las láminas de la misma que sus alumnosrealicen.
Si exceptuamos los ejercicios de acotación, que se pueden resolvercon diferentes criterios, el resto de los ejercicios propuestos en las treintaláminas de la GUÍA PRÁCTICA PARA EL ALUMNO tienen un únicoresultado, si consideramos que éste debe quedar dentro del espaciodesignado al efecto. La corrección de este tipo de ejercicios se facilitaconsiderablemente si se dispone de la solución o plantilla, sobre todocuando no es una sola lámina a calificar, sino las correspondientes atodos los alumnos que forman el grupo.
Proporcionando este solucionario de la GUÍA PRÁCTICA PARA ELALUMNO a los profesores que la adopten como material de trabajopara sus alumnos, pretendemos facilitarles la calificación de los mismosevitándoles dedicar un tiempo importante a resolver todos los ejercicios.
El autor
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A
B
1234567
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37 30’o
67 30’
75
67 30’
135
P
A
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMA 2
Lámina Nº 1 TRAZADOS FUNDAMENTALES
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8(+("'*.#"%(&%4(.+"/%)(&%#"4/%)#)/2%9/%,(%3("'*+(%(&%+#.+(/28*:*)*"%-";<*4#'(.+(%(&% ,(-'(.+/% 0101010101%(.%,*(+(%3#"+(,*-5#&(,2
=+*&*$#.)/%>.*4#'(.+(%"(-&#%?%4/'3;,@%+"#$#"%#%&#%"(4+#%"""""&#%3("3(.)*45&#"%3/"%(&%35.+/%AAAAA%?%&#%3#"#&(&#%3/"%(&%35.+/%BBBBB2
C/.,+"5*"%(&%;.-5&/%)(%DEDEDEDEDE/////%DFG%DFG%DFG%DFG%DFG%5./%)(%45?/,%&#)/,%(,%&#,('*""(4+#%,,,,,%?%(&%:7"+*4(%,5%(6+"('/%000002%!"#$#"%3/"%(&%35.+/AAAAA%&#%"(4+#%H5(%</"'#%4/.%,,,,,%(&%;.-5&/%3/,*+*:/%)(%IEIEIEIEIE/////%DFG%DFG%DFG%DFG%DFG2
Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMA 4
Lámina Nº 2 TRIÁNGULOS
A
B
60
42
a = 70
a = 78
c = 62
52
B
A
c
C
B
C
h
A
6045
o
o
m
h
m
B
C A
b
C
b
A
a C
8(+("'*.#"%(&%35.+/%H5(%,(%J#&&#%#%IF%''IF%''IF%''IF%''IF%''%)(&%35.+/%00000%?#% KL%''KL%''KL%''KL%''KL%''%)(&% 111112
8*M5N#"%(&%+"*;.-5&/%45?/,%)#+/,%,/.O%(&%&#)/%#####%)#)/%?%&/,;.-5&/,%1%P%IF1%P%IF1%P%IF1%P%IF1%P%IF/////%?%C%P%KQC%P%KQC%P%KQC%P%KQC%P%KQ/////2%!"#$#"%&#%#&+5"#%)(&%&#)/%444442
C/.,+"5*"%(&%+"*;.-5&/%45?/,%)#+/,%,/.O%(&%&#)/%)#)/%44444@%(&&#)/%#%P%EF%''#%P%EF%''#%P%EF%''#%P%EF%''#%P%EF%''%?%(&%;.-5&/%1%P%EQ1%P%EQ1%P%EQ1%P%EQ1%P%EQ/////2%!"#$#"%&#%'()*#.#)(&%&#)/%MMMMM2 C/.,+"5*"%5.%+"*;.-5&/%(H5*&;+("/%45?#%#&+5"#%'*)(%QL%''QL%''QL%''QL%''QL%''2
8*M5N#"%(&%+"*;.-5&/%"(4+;.-5&/@%4/.%;.-5&/%"(4+/%(.%00000@%)(&H5(%,(%4/./4(%(&%4#+(+/%MMMMM%)#)/%?%H5(%&#%J*3/+(.5,#%'*)(ER%''ER%''ER%''ER%''ER%''2%!"#$#"%&#%#&+5"#%)(%7,+#2
C/.,+"5*"%(&%+"*;.-5&/%"(4+;.-5&/@%4/.%;.-5&/%"(4+/%(.%00000@%45?/,)#+/,%,/.O%(&%4#+(+/% MMMMM%)#)/%?%(&%/+"/%4#+(+/% 4%P%IL%''4%P%IL%''4%P%IL%''4%P%IL%''4%P%IL%''2!"#$#"%&#%'()*#.#%)(&%&#)/%444442
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMA 4
Lámina Nº 3 TRIÁNGULOS Y ÁNGULOS DE LA CIRCUNFERENCIA
B
B
c
A A
h
M
A
A
A
rr
r
a52 30’
75
120
45
60
!
c = 62
o
o
o
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28
C
A c B
8*M5N#"%5.%+"*;.-5&/%"(4+;.-5&/%45?#%J*3/+(.5,#%(,%(&,(-'(.+/%#####%)#)/%?%&#%#&+5"#%)(%7,+#%'*)(%J%P%LR%''J%P%LR%''J%P%LR%''J%P%LR%''J%P%LR%''2T8/,%,/&54*/.(,U2
C/.,+"5*"%(&%+"*;.-5&/%"(4+;.-5&/@%4/.%;.-5&/%"(4+/%(.%00000@)(&%H5(%,(%4/./4(%(&%4#+(+/%44444%)#)/%?%C%P%QLC%P%QLC%P%QLC%P%QLC%P%QL/////%DFG%DFG%DFG%DFG%DFG%(&%;.-5&//35(,+/%#%7,+(2
C/.,+"5*"%(&%+"*;.-5&/%*,V,4(&(,%)(&%H5(%,(%4/./4(%5./%)(%&/,&#)/,%*-5#&(,%4%4%4%4%4%)#)/%?%5./%)(%&/,%;.-5&/,%*-5#&(,%C%P%EQC%P%EQC%P%EQC%P%EQC%P%EQ/////2
8*M5N#"%(&%+"*;.-5&/%*,V,4(&(,%4/./4*(.)/%5./%)(%&/,%&#)/,*-5#&(,%4%P%IL%''4%P%IL%''4%P%IL%''4%P%IL%''4%P%IL%''%?%&#%#&+5"#%)(&%&#)/%)(,*-5#&%J%J%J%J%J%)#)#2
8*M5N#"%&/,%;.-5&/,%H5(%,(%3*)(.@%"(*/.#)/,%4/.%&#,%4*"45.<("(.4*#,%)#)#,@%,#M*(.)/%H5(%(.%+/)/,%(&&/,%(&%35.+/%00000(,%(&%:7"+*4(%?%H5(%5./%)(%&/,%&#)/,%+*(.(%4/'/%,/3/"+(%&#%"(4+#%"%"%"%"%"%)#)#2
SSSSS
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMA 5
Lámina Nº 4 CUADRILÁTEROS
A
d d105
a = 40
a = 40
o
A
D
B
D
d
A
C
D
C
B
D
h =
38
A B
d = 60d = 60
b’ CC
D
A
d =
49
d = 72
2
1
B
h
Ah
= 35
b = 40
aB
CD
B
C
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8*M5N#"%(&%"/'M/%45?/,%)#+/,%,/.O%&#%)*#-/.#&%)))))%)#)#%?H5(%(&%&#)/%'*)(%#%P%KF%''#%P%KF%''#%P%KF%''#%P%KF%''#%P%KF%''2
C/.,+"5*"%(&%"/'M/*)(%45?/,%)#+/,%,/.O%(&%&#)/%#%#%#%#%#%)#)/@%(&&#)/% M%P%KF%''M%P%KF%''M%P%KF%''M%P%KF%''M%P%KF%''%?%&#%#&+5"#% J%P%DQ%''J%P%DQ%''J%P%DQ%''J%P%DQ%''J%P%DQ%''2
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMA 5
Lámina Nº 5 POLÍGONOS REGULARES
OO
A
O
1
2
3
4
5
6
7
8
9 A
A B
26
B
8*M5N#"%5.%)/)(4;-/./%"(-5&#"%T3/&Z-/./%)(%)/4(%&#)/,U*.,4"*+/%(.%&#%4*"45.<("(.4*#%)#)#2
8*M5N#"@%5+*&*$#.)/%(&%'7+/)/%3#"+*45&#"@%(&%3(.+;-/./"(-5&#"%*.,4"*+/%(.%&#%4*"45.<("(.4*#%)#)#@%,*(.)/%(&%35.+/00000%5./%)(%,5,%:7"+*4(,2
C/.,+"5*"%3/"%(&%'7+/)/%-(.("#&@%5.%(.(;-/./%"(-5&#"*.,4"*+/%(.%&#%4*"45.<("(.4*#%)#)#2
C/.,+"5*"%(&%3(.+;-/./%"(-5&#"%5./%)(%45?/,%&#)/,%(,%(&,(-'(.+/%0101010101%)#)/2
8*M5N#"%(&%/4+V-/./%"(-5&#"%5./%)(%45?/,%&#)/,%(,%(&%,(-'(.+/01%01%01%01%01%)#)/2 C/.,+"5*"%5.%J(3+;-/./%"(-5&#"%45?/%&#)/%'*)(%LI%''LI%''LI%''LI%''LI%''2
Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMA 5
Lámina Nº 6 DIVISIÓN DE LA CIRCUNFERENCIA
R
O
4831
148
28
110
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8*M5N#"%#%(,4#&#%XOXXOXXOXXOXXOX%&#%"5()#%)(%4#)(.#%"(3"(,(.+#)#2
Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMA 6
Lámina Nº 7 PROPORCIONALIDAD Y SEMEJANZA
a
a a
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D
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMA 6
Lámina Nº 8 IGUALDAD, EQUIVALENCIA Y SIMETRÍAS
A
E
DG
F
e
A
A
A’
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E’
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMA 7
Lámina Nº 9 TRASLACIÓN Y GIRO
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMA 7
Lámina Nº 10 HOMOTECIA
O
D
B
a
b
P’
A’
r’
r
A
B
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J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMA 8
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J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMA 9
Lámina Nº 15 CURVAS TÉCNICAS
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Fecha:
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMA 10
Lámina Nº 17 CURVAS CÓNICAS
21133
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J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
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J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMA 12
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMA 14
Lámina Nº 21 SISTEMA AXONOMÉTRICO
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMA 14
Lámina Nº 22 PERSPECTIVA ISOMÉTRICA
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMA 14
Lámina Nº 23 PERSPECTIVA ISOMÉTRICA
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMA 15
Lámina Nº 24 PERSPECTIVA CABALLERA
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMA 15
Lámina Nº 25 PERSPECTIVA CABALLERA
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMA 15
Lámina Nº 26 PERSPECTIVA CABALLERA
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMAS 16 Y 18
Lámina Nº 27 VISTAS DE PIEZAS Y ACOTACIÓN
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMAS 16 Y 18
Lámina Nº 28 VISTAS DE PIEZAS Y ACOTACIÓN
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMAS 16 Y 18
Lámina Nº 29 VISTAS DE PIEZAS Y ACOTACIÓN
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Nombre:
J. G
ON
ZALO
GO
NZA
LO
Fecha:
NOTA:
TEMAS 16 Y 18
Lámina Nº 30 VISTAS DE PIEZAS Y ACOTACIÓN
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