Real World Problems
Last update: 08/10/2025 21:49:08
V tabulce jsou názvy a klíčová slova v CS, odkazy na soubory a odkaz na soubor na GitHub-u.
Uvnitř příkladu je možné přejít na jinou jazykovou verzi (klikání) nebo na další příklad v řadě (klikáním nebo šipkama z klávesnice).
Toto je produkční verze. Vývojová verze se všemi příklady je na https://um.mendelu.cz/math4u/site/
a je chráněna heslem.
| Číslo | Název | Typ | Jazyk | Github | Proofreading | ||||
|---|---|---|---|---|---|---|---|---|---|
| 1 | Ship navigation (plane geometry, geometry, circumferential angle)  30 min.,  2/3 |
article | EN | CS | ES | PL | SK | link | link |
| 1 | (plane geometry, geometry, circumferential angle) 30 min., 2/3 |
sheet_01 | EN | CS | ES | PL | SK | link | |
| 1 | (plane geometry, geometry, circumferential angle) 30 min., 2/3 |
sheet_02 | EN | CS | ES | PL | SK | link | |
| 2 | Pyramid scheme (sequences and series, geometric sequence, financial literacy) 25 min., 2/3 |
article | EN | CS | ES | PL | SK | link | link |
| 3 | Reading Data from a Graph (combinatorics, probability and statistics, statistics, financial literacy) 15 min., 1/3 |
article | EN | CS | ES | PL | SK | link | |
| 4 | Optimization of Car Purchase for Taxi Service (functions, quadratic function, optimization) 20 min., 1/3 |
article | EN | CS | ES | PL | SK | link | link |
| 5 | Conical cap (space geometry, stereometry, cone) 15 min., 1/3 |
article | EN | CS | ES | PL | SK | link | link |
| 6 | Password cracking (combinatorics, probability and statistics, combinatorics, product rule) 25 min., 1/3 |
article | EN | CS | ES | PL | SK | link | link |
| 7 | Fractal geometry (sequences and series, geometric progression, Koch snowflake, fractal) 35 min., 2/3 |
article | EN | CS | ES | PL | SK | link | link |
| 8 | Distances on the Earth's surface (space geometry, stereometry, planimetry, circle, geography) 25 min., 2/3 |
article | EN | CS | ES | PL | SK | link | link |
| 9 | Locating a Well on the Property (plane geometry, planimetry, set of points that share a property) 20 min., 1/3 |
article | EN | CS | ES | PL | SK | link | link |
| 10 | Parabolic calculator (analytic geometry, parametric equation of line) 30 min., 2/3 |
article | EN | CS | ES | PL | SK | link | link |
| 11 | Crossing the river (trigonometry, law of sines, law of cosines) 25 min., 1/3 |
article | EN | CS | ES | PL | SK | link | link |
| 12 | Optimal Ticket Price (functions, optimization, quadratic equation, floor function) 30 min., 1/3 |
article | EN | CS | ES | PL | SK | link | link |
| 13 | Golf Ball Shot (differential and integral calculus, optimization, quadratic equation, derivation) 30 min., 3/3 |
article | EN | CS | ES | PL | SK | link | link |
| 14 | Diagnostic Tests in Medicine (combinatorics, probability and statistics, conditional probability, frequency of occurrence) 25 min., 2/3 |
article | EN | CS | ES | PL | SK | link | link |
| 15 | Finite linear games (equations and inequalities, finite linear games, systems of equations, modular arithmetic) 40 min., 2/3 |
article | EN | CS | ES | PL | SK | link | link |
| 16 | Sound (exponentials and logarithms, logarithms, logarithmic equation, exponential equation) 30 min., 2/3 |
article | EN | CS | ES | PL | SK | link | link |
| 17 | Shadow of House (space geometry, cabinet axonometry, lighting) 40 min., 3/3 |
article | EN | CS | ES | PL | SK | link | link |
| 18 | Hyperbolic navigation (analytic geometry, conic sections, hyperbola) 20 min., 1/3 |
article | EN | CS | ES | PL | SK | link | link |
| 19 | Collapse of Cod Fisheries (functions, quadratic function, quadratic equation) 15 min., 1/3 |
article | EN | CS | ES | PL | SK | link | link |
| 20 | Deadly Flat in Kramatorsk (exponentials and logarithms, exponential function, logarithmic function, radioactivity) 20 min., 2/3 |
article | EN | CS | ES | PL | SK | link | |
| 21 | Kepler's First Law of Planetary Motion (analytic geometry, conic section, ellipse) 15 min., 1/3 |
article | EN | CS | ES | PL | SK | link | link |
| 22 | The Curious Warehouse Manager (equations and inequalities, systems of linear equations, rounding) 35 min., 2/3 |
article | EN | CS | ES | PL | SK | link | link |
| 23 | Twisted Prism (space geometry, Pythagorean theorem, stereometry, trigonometry, twisted prism) 45 min., 1/3 |
article | EN | CS | ES | PL | SK | link | |
| 24 | Parabolic antenna (analytic geometry, conic sections, the equation of a parabola) 20 min., 2/3 |
article | EN | CS | ES | PL | SK | link | link |
| 25 | Dried Tomatoes (functions, percentages, inverse proportion, rational function) 35 min., 3/3 |
article | EN | CS | ES | PL | SK | link | link |
| 26 | Logic circuits (basics of math, statements, mathematical logic) 35 min., 2/3 |
article | EN | CS | ES | PL | SK | link | link |
| 27 | The Golden Ratio and Continued Fractions (equations and inequalities, chain fraction, quadratic equation) 40 min., 1/3 |
article | EN | CS | ES | PL | SK | link | link |
| 28 | Description of GDP Trends (combinatorics, probability and statistics, arithmetic mean, geometric mean, statistics) 25 min., 1/3 |
article | EN | CS | ES | PL | SK | link | link |
| 29 | Tree Tomography (analytic geometry, plane geometry, quadrilateral) 30 min., 2/3 |
article | EN | CS | ES | PL | SK | link | |
| 30 | Island Biodiversity (exponentials and logarithms, exponential function, logarithmic function) 30 min., 2/3 |
article | EN | CS | ES | PL | SK | link | link |
| 31 | Glued Joints (trigonometry, trigonometric functions, right triangle) 45 min., 2/3 |
article | EN | CS | ES | PL | SK | link | link |
| 32 | Optimization (analytic geometry, optimization, the general form of a line, the general form of a plane) 30 min., 1/3 |
article | EN | CS | ES | PL | SK | link | link |
| 33 | Volume of a Nuclear Power Plant Cooling Tower (differential and integral calculus, hyperbola, analytic geometry, volume, integral calculus) 20 min., 2/3 |
article | EN | CS | ES | PL | SK | link | link |
| 34 | Initial Spread of the Epidemic (combinatorics, probability and statistics, statistics, data processing, arithmetic mean, geometric mean, regression analysis, GeoGebra) 30 min., 2/3 |
article | EN | CS | ES | PL | SK | link | |
| 35 | Which Lottery Ticket Is More Profitable? (sequences and series, probability, expected value, geometric sequence) 30 min., 2/3 |
article | EN | CS | ES | PL | SK | link | link |
| 36 | Mandelbrot Set (complex numbers, Gaussian plane, sequences, convergence, absolute value) 20 min., 3/3 |
article | EN | CS | ES | PL | SK | link | |
| 37 | Vectors (analytic geometry, vectors, dot product) 30 min., 2/3 |
article | EN | CS | ES | PL | SK | link | |
| 38 | Miura-Ori (trigonometry, origami, paper folding, Miura-ori, Miura fold, trigonometric functions) 15 min., 1/3 |
article | EN | CS | ES | PL | SK | link | |
| 39 | Blood Pressure (trigonometry, trigonometric functions, sine, cosine, approximation, blood pressure) 45 min., 2/3 |
article | EN | CS | ES | PL | SK | link | |
| 40 | Anamorphosis (space geometry, anamorphosis, solids, projection, central projection, perspective) 45 min., 3/3 |
article | EN | CS | ES | PL | SK | link | |
| 41 | Trophic Functions in Predator–Prey Models (function, rational fractional function, asymptote) 20 min., 1/3 |
article | EN | CS | ES | PL | SK | link | link |
| 42 | A Sea View (plane geometry, trigonometry) 15 min., 1/3 |
article | EN | CS | ES | PL | SK | link | |
| 43 | Rescuing a Castaway (plane geometry, Pythagorean theorem, perpendicular bisector) 30 min., 2/3 |
article | EN | CS | ES | PL | SK | link | |
| 44 | The Mathematics Hidden in a Sheet of Paper (sequences and series, ratio, geometric sequence, arithmetic sequence) 30 min., 1/3 |
article | EN | CS | ES | PL | SK | link | |
| 45 | Linear Regression (combinatorics, probability and statistics, vectors, dot product, linear regression, machine learning, data processing) 30 min., 2/3 |
article | EN | CS | ES | PL | SK | link | |
| 46 | Origami (trigonometry, origami, paper folding, supplementary angles, alternate angles) 15 min., 1/3 |
article | EN | CS | ES | PL | SK | link | |
| 47 | Medical Station at a Running Race (functions, linear function, absolute value, optimization) 40 min., 3/3 |
article | EN | CS | ES | PL | SK | link | |
| 48 | When an Acoustic Tomograph Meets a Resistograph (analytic geometry, acoustic tomograph, resistograph, equation of a line, vector magnitude) 15 min., 1/3 |
article | EN | CS | ES | PL | SK | link | |
| 49 | Acoustic Tomograph and the Equation of an Ellipse (analytic geometry, acoustic tomograph, ellipse, dot product, vector projection) 15 min., 1/3 |
article | EN | CS | ES | PL | SK | link | |
| 50 | Round Robin: A Fair Tournament System (combinatorics, probability and statistics, combinatorics) 40 min., 3/3 |
article | EN | CS | ES | PL | SK | link | |
| 51 | Yield Optimization (analytic geometry, quadratic equation, systems of equations, equation of a circle) 20 min., 2/3 |
article | EN | CS | ES | PL | SK | link | |
