Cidepe

Function

Intended for experimental study, mathematics laboratory and carrying out mathematical experiments on: Mathematics. Metrology. Significant digits and uncertainties. Functions. What are the characteristics of the graph of the affine function? Negative angular coefficient and positive angular coefficient. What are the characteristics of the quadratic function? The exponential function. What are the characteristics of the quadratic function? With an ultrasonic position sensor. What are the characteristics of the sinusoidal function? With an ultrasonic position sensor. Algebra. The notable products squared of the sum of two terms and the difference of two terms. First-degree equation with one unknown and the additive and multiplicative principles of equalities. First-degree inequality with one unknown and the additive and multiplicative principles of inequalities. Ratio, how to compare by means of division. Proportion and the directly proportional relationship. The inversely proportional relationship. Trigonometry. The angular properties of triangles. The fundamental trigonometric relationships of the right triangle. Pythagoras' theorem, a metric relationship between the sides of a right triangle. The law of sines and cosines in a right triangle. Measuring the height of a distant object, the clinometer. The degree, the radian, the quadrants and their conversions. The sine, the cosine and the tangent in the trigonometric circle. The fundamental relationship of trigonometry in the trigonometric circle. Plane and metric geometry. The value of the constant pi. The relationships between the angles formed by parallel lines cut by a transversal line. How to obtain the number pi in the circumference? How to obtain polygonal lines, quadrilateral and trilateral polygons and their perimeters. How to obtain the areas of rectangular, square, triangular, parallelogram, trapezoid and rhombus polygons? Pythagoras' theorem. Thales' theorem, intersection, ratio and proportion. Thales' theorem and similar triangles. Spatial and metric geometry. Area of the regular hexahedron, the cube. The oblique rectangular prism and the right quadrangular prism, right parallelepiped and their area. The regular right and irregular pyramids, the area of the regular right pentagonal pyramid. The area of the right circular cylinder. The sphere and the area of the sphere inscribed in a cylinder. The external, internal and wall volumes of a hollow cube. The pyramids, the external, internal and wall volumes of a regular hollow pentagonal pyramid. The prisms, the external and wall volumes of a right quadrangular prism, hollow. The indirect measurement of volume. The solid of revolution obtained with the rotation of the rectangle, the right cylinder. The solid of revolution obtained with the rotation of the right triangle, the right cone. The cone of revolution intercepted by a plane, the truncated cone. The conical surface of revolution intercepted by a plane, conical sections, curves. The sphere of revolution obtained with the rotation of the semicircle and the spherical cap. The conical shell resulting from the revolution of an inclined line. The cylindrical shell resulting from the rotation of a vertical line. The disk resulting from the rotation of a horizontal line. The circular ring, torus or toroidal surface, resulting from the rotation of a circle. The spherical shell resulting from the rotation of a circle around one of its diameters. The paraboloid of revolution or circular paraboloid, resulting from the rotation of a parabola. The ellipsoid resulting from the rotation of an ellipse. Analytical geometry. The shortest path is not always the fastest. The brachistochronic characteristic of the inverted cycloid. Time is independent of the starting point of the sphere, tautochronous characteristic of the inverted cycloid. How to obtain a cycloid curve using free software? Probability. What is the probability? AND rule and OR rule, etc.

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Details

Details with the main experiments