GeoGebra Example: Equations, LCM and GCD, Kite, Upper and Lower Sum/Riemann Sum,
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Mapping Diagrams: From AB to C&DE, Resource
This example demonstrates how to construct a comprehensive mathematical model involving equations, LCM and GCD, kites, upper and lower sums or Riemann sums, and parabolas using GeoGebra. Key concepts include equation solving, least common multiple and greatest common divisor, kite geometric properties, Riemann sum approximation, and parabolic characteristics. Construction highlights involve commands like Point, Vector, Textfield, and Sequence, creating objects such as A, r_3, p_3, p_2, p_1, r_2, r_1, a, f, A_1, B, u, etc. It is suitable for high school mathematics teaching, demonstrating the application of calculus初步 and geometric construction.
GeoGebra Commands & Parameters
Point(yAxis) → A_1Vector(A_1, B) → uTextfield(f) → inputBox1Sequence((k, f(k)), k, -3, 3, 0.5) → list2Sequence(Vector[(0, k), (2, f(k))], k, -3, 3, 0.5) → list1