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2026 Statistics
Key Facts: Extremadura PAU Technical Drawing II (Dibujo Técnico II - UEx 2026) Exam
90 min
Duración oficial del examen escrito de PAU Dibujo Técnico II en Extremadura
Comisión Organizadora de la PAU de Extremadura / UEx
EUR 78.26
Tasa ordinaria de inscripción en la PAU de Extremadura
Universidad de Extremadura (UEx)
0–10
Escala de calificación (mínimo 4.0 en Fase de Acceso para hacer media)
Normativa PAU Extremadura
4 Bloques
Geometría Plana, Sistema Diédrico, Axonometría y Normalización Industrial
Decreto de Currículo de 2º Bachillerato de Extremadura
100
Preguntas de práctica conceptuales y numéricas en este banco
OpenExamPrep
Prepare for the UEx 2026 PAU Technical Drawing II exam with 100 high-quality practice questions covering plane geometry, tangencies, dihedral system, axonometric projections, and ISO normalization.
Sample Extremadura PAU Technical Drawing II (Dibujo Técnico II - UEx 2026) Practice Questions
Try these sample questions to test your Extremadura PAU Technical Drawing II (Dibujo Técnico II - UEx 2026) exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1In a scalene triangle, which point of concurrency is defined as the intersection of the three perpendicular bisectors of its sides?
A.Circumcenter
B.Incenter
C.Orthocenter
D.Centroid (Baricenter)
Explanation: The circumcenter is the intersection point of the three perpendicular bisectors of a triangle's sides. Because every point on a perpendicular bisector is equidistant from the endpoints of the segment, the circumcenter is equidistant from all three vertices and serves as the center of the circumscribed circle.
2The centroid G of a triangle divides each median into two segments. What is the ratio of the distance from the centroid to a vertex compared to the total length of the median?
A.1/3
B.2/3
C.1/2
D.3/4
Explanation: The centroid G divides each median into a 2:1 ratio. The segment from the vertex to the centroid is 2/3 of the total median length, while the segment from the centroid to the midpoint of the opposite side is 1/3 of the total median length.
3In any non-equilateral triangle, the circumcenter (O), centroid (G), and orthocenter (H) are collinear. Which segment relationship holds along this Euler line?
A.The centroid G lies between O and H such that GH = 2 · OG.
B.The circumcenter O lies between G and H such that HO = 2 · OG.
C.The orthocenter H lies between O and G such that OH = HG.
D.The centroid G is the midpoint of segment OH, so OG = GH.
Explanation: On the Euler line of a triangle, the centroid G always lies between the circumcenter O and the orthocenter H, dividing the line segment OH in a 1:2 ratio such that the distance from G to H is twice the distance from O to G (GH = 2 · OG).
4A technical drawing uses a scale of E = 1:50. If a dimension on the drawing measures 12.4 cm, what is the actual real-world length in meters?
A.6.20 m
B.0.248 m
C.62.0 m
D.1.24 m
Explanation: Scale E = Drawing / Real = 1 / 50. Therefore, Real = Drawing × 50 = 12.4 cm × 50 = 620 cm = 6.20 m.
5A microscopic component with a real length of 3.5 mm is drawn with a length of 17.5 cm on paper. What is the numerical scale of the drawing?
A.E = 50:1
B.E = 5:1
C.E = 1:50
D.E = 1:5
Explanation: Convert drawing length to millimeters: 17.5 cm = 175 mm. Scale E = Drawing / Real = 175 mm / 3.5 mm = 50 / 1, which gives an enlargement scale of E = 50:1.
6What geometric locus is formed by all points in a plane that have equal power with respect to two non-concentric circles?
A.A straight line perpendicular to the line joining the centers of the two circles.
B.A circle concentric with the midpoint of the line joining the centers.
C.A hyperbola whose foci are the centers of the two circles.
D.A straight line parallel to the line joining the centers of the two circles.
Explanation: The radical axis of two circles is defined as the geometric locus of points having equal power with respect to both circles. It is always a straight line perpendicular to the line of centers connecting the two circles.
7An ellipse has major axis 2a = 100 mm and focal distance 2c = 60 mm. What is the length of its minor axis 2b?
A.80 mm
B.40 mm
C.70 mm
D.90 mm
Explanation: In an ellipse, the semi-axes and focal semi-distance satisfy the Pythagorean relation a² = b² + c². Here a = 50 mm and c = 30 mm. Thus b = √(50² - 30²) = √(2500 - 900) = √1600 = 40 mm. The full minor axis 2b = 2 × 40 mm = 80 mm.
8By definition, a parabola is the locus of points in a plane equidistant from a fixed point (the focus F) and a fixed straight line. What is this fixed line called?
A.Directrix
B.Focal axis
C.Asymptote
D.Generatrix
Explanation: The directrix is the fixed line from which every point P on a parabola is equidistant to the focus F (d(P, F) = d(P, directrix)).
9In a hyperbola, what is the geometric definition of any point P belonging to the curve with respect to its two foci F1 and F2?
A.The absolute difference of distances |PF1 - PF2| is constant and equal to 2a.
B.The sum of distances PF1 + PF2 is constant and equal to 2a.
C.The product of distances PF1 · PF2 is constant and equal to a².
D.The ratio of distances PF1 / PF2 is constant and equal to the eccentricity.
Explanation: A hyperbola is the locus of points where the absolute difference of distances to two fixed points (foci F1, F2) is constant, equal to the transverse axis length 2a (|PF1 - PF2| = 2a).
10In a plane inversion with center O and positive power k > 0, what is the inverse image of a straight line that passes directly through the inversion center O?
A.The same straight line (it is invariant as a line, though individual points swap places).
B.A circle passing through the inversion center O.
C.A circle not passing through the inversion center O.
D.A parabola with vertex at the inversion center O.
Explanation: Any straight line passing through the inversion center O transforms into itself (is invariant as a whole line), because for any point P on the line, its inverse P' satisfies OP · OP' = k and therefore P' also lies on the same line through O.
About the Extremadura PAU Technical Drawing II (Dibujo Técnico II - UEx 2026) Practice Questions
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