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Exercise 93: Exercise 92

Topic: Standardization
Author: PAU 2009-ruled Andalusia
Course: 2 Bachillerato
Level: Middle
File: 2009/Ejercicio 4.3 Selectivity

L I sectional views are useful to understand the hollow interior of a piece. The first thing is to try to understand the geometry of it and its relation to the cutting plane. In case of doubt should make a sketch in perspective that helps your understanding.
The cut is drawn as if a broader view, taking into account not represent hidden lines and the sectioned part is scratched with auxiliary oblique and parallel lines.
Finally, the piece is bounded dividing the measures by providing views and dimensioning elements according to the criteria of standardization. In this case, being the views of scale 1:2, we must consider that measures provided will double the number that we measure on the views.

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Standardization: Standardization

Topic: Standardization
Author: PAU 2009-ruled Andalusia
Course: 2 Bachillerato
Level: Middle
File: 2009/Ejercicio 6.4 Selectivity

L views as part of the draw as if there were no court represented. Aparace If this is to clarify how are the holes you have. The biggest problem we face is to scale as axonometric representation is 1:4 scale and views are requested to 1:5. In the solution shows that it has solved graphically, as in selectivity can use the calculator. We must not forget that the measures dimension will correspond to the actual piece.

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Exercise 91: Exercise 90

Topic: representation systems
Author: Andalusia 2008-September PAU
Course: a Bachillerato
Level: Middle
File: 2008/Ejercicio 1.4 Selectivity

A view from the draw given the right profile of the piece, which we place on the left of the elevation and the same distance to the plant. When narrow the piece, we note that the views are represented at 5:2.

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Standardization: Standardization

Topic: Standardization
Author: PAU 2009-ruled Andalusia
Course: 2 Bachillerato
Level: Middle
File: 2009/Ejercicio 3.1 Selectivity

as L views this piece is very simple to obtain. The only problem that may arise is calling its natural scale drawing, which does not match the scale of the given perspective. To draw the view is to undo the reduction coefficients applied to the perspective and scale of 3:2 where it is represented. In the solution shows that it has solved graphically, but can be used Selectivity the calculator, so it passes directly from the perspective piece by multiplying, in this case, 0816 (divided by 0,816 to eliminate the coefficient of isometric and multiply by 2 / 3 to undo the scale).

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Exercise 89: Exercise

Topic:
conical perspective Author: Andalucía 2009-September PAU
Course: 2 Bachillerato
Level: Easy
File: Selectivity 2009 / Exercise 2.3

E n some cases, requests only the prospect of a flat and almost always it is a front perspective. To draw the outline
determine the sole focus, which coincides with the principal P: corvengen where the two sides perpendicular to LT and measure the depth by joining the two remaining vertices to the point of view shot (V).
To complete the rest of the figure we assume a mosaic composed of nine squares that make the layout different perspective.

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conical System 88: System

Topic:
conical perspective Author: PAU 2009-ruled Andalusia
Course: 2 Bachillerato
Level: Middle
File: Selectivity 2009/Ejercicio 4.4

E n this case we consider the perspective as if front. Simply inscribe the hexagon on the floor inside a rectangle, so we will approach taking into account the relationship of homology between the floor dejected and we want to obtain.
The prism enclosure is very easy to obtain, since the face that matches the picture plane (LT) is the real scale. The perspective is completed by connecting the points of the upper and lower base.

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conical Exercise 87: Exercise

Topic:
conical perspective Author: Alejandro Muñoz
Course: 2 Bachillerato
Level: Middle
File: Exercises own 18

ibujamos D plant in perspective using the homology relationship is between the surge and the plant in perspective, let (V) and LT center axis transformation. Also useful addresses convergence towards the lights or vanishing points. To raise the volume
know we can measure true magnitude of the edge coinciding with LT The remaining edges are supplemented by concurrent lines drawn from spots and vertical is taken as the direction perpendicular to LT The drawing process is similar to the axonometric perspective, taking into account that two of the main directions (X and Y) are convergent and the third (Z) is parallel to the vertical axis .
The circumference is resolved as in axonometric by real points of a circle that are easy to transport perspective.

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conical System 86: System

Topic:
conical perspective Author: Alejandro Muñoz
Course: 2 Bachillerato
Level: Middle
File: Exercises 17 own

E here are many methods for drawing in perspective the plant, resulting in the simplest one that considers the relationship of homology between the plant and folded it in perspective, where the center is (V) and LT axis is in doubt, it is useful to help the vanishing points. To raise the volume
know we can measure true magnitude of the edge coinciding with LT The remaining edges are supplemented by concurrent lines drawn from the spotlight and is taken as vertical direction perpendicular to LT The drawing process is similar to the perspective axonometric, considering that two of the main directions (X and Y) are convergent and the third (Z) is parallel to the vertical axis.

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conical Exercise 85: Conical System

Topic:
conical perspective Author: PAU 2009-ruled Andalusia
Course: 2 Bachillerato
Level: Easy
File: Selectivity 2009 / Exercise 6.6

S and is a conical oblique perspective of a plane figure drawn on the floor. Outbreaks are obtained by the intersection of two parallel LH \u200b\u200bto the main directions drawn from the point (V).
To draw the plant in this perspective we can consider the homology relationship between the plant and dejected because we look for in perspective. The center is (V) and the shaft is LT in doubt, it is useful to help give the principal directions of the figure, or whatever it is, of their vanishing points.

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Exercise 84: Exercise

Topic: System
dihedral II Author: Alejandro Muñoz
Course: 1 Bachillerato
Level: Middle
File: own 16 Exercises

P ara define the traces of the plane we must start with his fastball AD maximum tilt (vertical trace perpendicular to the vertical projection of the line). Once obtained, we can draw the other two corners of the ring.
To put the point E on the plan will help us a horizontal dimension of 30 mm or 20 mm away front.

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dihedral System 83: System

Topic: I dihedral
System Author: Alejandro Muñoz
Course: 1 Bachillerato
Level: Middle
File: own 15 Exercises

A from three points given by coordinates (distance from origin, distance and elevation) can obtain the traces of the plane P defined.
The other three points have their coordinates are ordered incomplete. As stated to be belonging to the same plane P, are solved by plane straight memberships. In this case have been resolved by oblique lines, but the resolution can be easier if you know the horizontal or frontal plane.

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dihedral Exercise 82: Exercise

Topic: I dihedral
System Author: Alejandro Muñoz
Course: 1 Bachillerato
Level: Middle
File: Exercises own 14

P ara draw the horizontal projection of the line S, we need the cutting point C R, and since this profile, we will look at this projection. Once obtained
traces of S, indicate the regions it crosses the line to represent you seen and hidden, being seen, only the points of the first dihedral or quadrant.

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dihedral System 81: Financial Perspective

Topic: Axonometry and
cavalier perspective Author: PAU 2009-ruled Andalusia
Course: 1 Bachillerato
Level: Difficult
File: 2009/Ejercicio 5.4 Selectivity

S and is a piece that is not hard to understand. If it is labeled as difficult, due to the difficulties that may present your drawing on an examination of an hour and a half with two other exercises. In addition, the Y axis points to the right and the scale is representative of 8:5 (we recommend Thales) complicate the resolution. In any case, we must not forget the reduction factor of 2 / 3 that affects the Y axis

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cavalier 80: Perspective Exercise

Topic: Axonometric and perspective cavalier
Author: Andalucía 2009-June PAU
Course: a Bachillerato
Level: Easy
File: 2009/Ejercicio 6.3 Selectivity

L a piece that asks is simple to understand and cavalier perspective drawing contains many difficulties, because the circles that appear are drawn in real scale. Do not forget that the drawing should be done at 2:1, twice the dimensions given, and apply a reduction coefficient of 2 / 3 on the Y axis

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cavalier 79: axonometric

Topic: orthogonal and oblique Axonometry
Author: PAU 2009-ruled Andalusia
Course: 2 Bachillerato
Level: Middle
File: 2009/Ejercicio 6.2 Selectivity

A lthough it is unusual, sometimes we find selectivity exercises virtually the same as other discarded in previous years. The audience today that is very similar to this other: a little easier, if possible, because it eliminates the hole through the base. Serve bound explanation of the exercise as an explanation for today.

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System Exercise 78: Exercise

Topic:
radial surfaces Author: Alejandro Muñoz
Course: 2 Bachillerato
Level: Middle
File: Exercises own 13

P ara draw the projections of the area need to place the projecting plane P, by changing the background, and tangents to solve the problem posed.
As the line parallel to the first bisector, the projections should be the same angle with the line ground without being parallel to each other ... besides containing the indicated point.
The intersection is determined in this case using the flat section in the area causing a projecting vertical plane containing the line R.
Finally, we must represent the views and hidden parts of the intersection.

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dihedral System 77: 76 Exercise System

Topic:
radial surfaces Author: Andalucía 2009-June PAU
Course: 2 Bachillerato
Level: Difficult
File: Selectivity 2009 / Exercise 3.1

A lthough not usually be the normal way to solve it, I suggest that the dihedral projections of the circle (elliptical in both cases) are resolved by double depression. This makes it less messy to determine the axes of each ellipse that enable its path by the method of the card and does not need your drawing using the cumbersome method of conjugate diameters, as is the case for not raising the second depression.
The projections of the sphere are rather simple. Its center coincides with the circular section and its radius is drawn in true scale in any of the drawdowns.
Although not the only possible way to find the CD diameter, perpendicular to the plane, they decide to do with change of plane, through membership in the top section or outline of the new projection.

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dihedral : dihedral System

Topic:
radial surfaces Author: PAU 2009-ruled Andalusia
Course: 2 Bachillerato
Level: Easy
File: Selectivity 2009 / Exercise 5.1

A point O l belong to the first bisector, has the same height and distance. For the
need to trace the plane P projection profile. With the help of this we can also obtain the axes of the ellipses that form the base of the cone and its height. When drawing
dihedral cone projections must not forget the sights and hidden parts of the figure.

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Exercise 75: Exercise

Topic:
radial surfaces Author: Andalucía 2009-September PAU
Course: 2 Bachillerato
Level: Easy
File: 2009/Ejercicio 2.1 Selectivity

L as projections dihedral of the figure are quite simple. The square is drawn in true scale in horizontal projection and height can be measured in the vertical. Your views and no hidden add difficulty.
To determine the flat section is needed shift of focus, since P is projecting. Of the two possibilities, we suggest a vertical change how easy it is to get your new vertical projection. Once we get the new trace of the plane to proceed to draw the required section with views and hidden.

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dihedral System 74: System

Topic:
radial surfaces Author: PAU 2009-ruled Andalusia
Course: 2 Bachillerato
Level: Normal
File: 2009/Ejercicio 6.1 Selectivity

P ara draw the base of the pyramid folded down the plane P that contains well as the center and point A makes vertex. On the gloom draw the regular hexagon center (O) in which (A) is a vertex and Desabato until dihedral projections of the base.
to get the vertex draw a line through the center perpendicular to the plane P (being regular pyramid). As this is a oblique line, we can not measure the distance 60 mm without applying rotation or change of plane, as is the case.
Finally, we represent the edges with views and hidden.

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dihedral Exercise 73: Exercise

Topic:
radial surfaces Author: Andalucia 2008-June PAU
Course: 2 Bachillerato
Level: Very difficult
File: Selectivity 2008 / Exercise 5.1

S e is a peculiar way of asking for a prism which is widely used in the selectivity of Andalusia. In this case bases and cross-shaped presents sitting on their sides. The projections of the figure are given and calls its intersection with an oblique plane and the true magnitude.
applied to solve plane change for the court is seen projecting. Of the two options are advised to keep the projection of the plane of the figure (the horizontal in this case). After obtaining the new projections of the prism is determined by the intersection projection and finally lowers the plane (the oblique, or projecting) to determine the true extent of the section.
The difficulty lies mainly in the time needed to solve it and little space to draw auxiliary views.

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dihedral System 72: System

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dihedral Exercise 71: Exercise

Topic: Sist. dihedral. Regular polyhedra
Author: Alejandro Muñoz
Course: 2 Bachillerato
Level: Difficult
File: Exercises own 12

A from the data given draw the square ABCD in the plane P, through depression. Look after the center to draw the diagonal perpendicular to the plane, on we will measure the diagonal. This coincides with the diagonal of the square, we have in real magnitude in the abating. Since the diagonal is a line oblique need for change or money, as is the case, to determine the position of the vertex E and F of the polyhedron. We will do the same considering the representation of their views and hidden. Then draw
Q plane under the terms of the statement. The flat section in this case coincides with the vertical trace Q '. We will take the horizontal projection with dashed line representing the sides do not see.

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dihedral System 70: Standardization

Topic: representation systems
Author: Alejandro Muñoz
Course: 1 Bachillerato
Level: Easy
File: Exercises own 11

S and asks you draw the three views are in the perspective view of a part in the European system of representation. It must be noted that the plant will be located below the elevation and the left profile to right.
As calls for 5:4 scale representing each of the measures will be multiplied by 1.25 (determined graphically by the theorem of Thales in the drawing) and separate the view 15 mm, as said in the statement. Lastly
must be represented with dashed line is an edge is hidden in the profile view.

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Exercise 69: Standardization

Topic: representation systems
Author: Alejandro Muñoz
Course: 1 Bachillerato
Level: Easy
File: 10 own exercises

S and calls draw three views of a part in the European system of representation. It must be noted that the plant will be located below the elevation and the left profile to right. As no requests
any scale, the measures are given in the perspective and the views are separated 15 mm, as indicated in the statement. Lastly
should be dashed lines represent the edges that are hidden in each view.