浏览Math中精选的Geometry动画示例，包括可复用的 Manim 场景、可视化证明和可直接教学使用的思路。
Math · 9 个动画
This animation shows the unit circle definition of sine and cosine. A point traces the circle as angle θ sweeps from 0 to 2π. Vertical (sin) and horizontal (cos) projections are drawn in real time. Simultaneously, sin and cos waves trace out on a graph panel to the right, creating an intuitive visual connection between circular motion and wave graphs.
Derives the area formulas for a triangle and a circle using visual proofs. Students see that a triangle is half a rectangle (A = ½bh), and that a circle can be rearranged into a near-rectangle whose dimensions involve π and r (A = πr²).
Introduces the Cartesian coordinate system by drawing labeled x and y axes with gridlines, then plotting four points across all four quadrants. For each point, dashed guide lines reveal how to read x and y coordinates.
Presents the visual square-area proof of the Pythagorean Theorem using a 3-4-5 right triangle. Students see squares growing on each side and observe that the two smaller areas add up to the largest area, giving intuition for a² + b² = c².
An analog clock face is shown and the hour and minute hands rotate to display three times: 3:00, 6:30, and 9:15. Each time the hands arrive at the correct position a digital time label appears next to the clock so students connect the analog position to the digital reading.
A circle (pizza) is cut into equal slices to illustrate 1/2, 1/3, and 1/4. Each cut animates as a growing line, then one highlighted slice shows the fraction label. A rectangle is also split into halves for a second visual.
A rectangle is shown on screen. The perimeter is demonstrated by a dot walking around all four sides while a counter adds up each side length. The area is then shown by filling the interior with a grid of unit squares, one column at a time. Both results are labeled with their standard formulas.
Four common polygons (triangle, square, pentagon, hexagon) are introduced one at a time. For each shape a dashed symmetry line is drawn and the shape is reflected across it. The square also demonstrates rotational symmetry with a spin animation.
Visualizes how 2x2 matrices transform the plane by animating a NumberPlane grid through four key transformations: identity, 90-degree rotation, shear, and stretch. The basis vectors i-hat and j-hat are highlighted to show how the matrix columns determine the transformation outcome.
