数学中的几何形状
各种几何形状及其性质介绍
Interactive Geometric Shapes Visualization
Welcome to the Geometric Shapes Explorer
This interactive visualization helps you understand different geometric shapes, their properties, and how to calculate area and perimeter. Explore triangles, quadrilaterals, circles, and polygons.
What you can explore:
- 2D Shapes: Triangles, quadrilaterals, circles, polygons
- Properties: Vertices, sides, angles, symmetry
- Measurements: Area and perimeter calculations
- Visual Features: Vertex labels, side measurements
How to Use This Visualization
Interactive Features:
- • Select Shape - Choose from 8 different shapes
- • Adjust Size - Change dimensions with sliders
- • Toggle Labels - Show/hide vertex labels and measurements
- • View Properties - See area, perimeter, and shape characteristics
What You'll See:
- • Shape Drawing - Visual representation of the shape
- • Vertex Labels - V1, V2, V3, etc. marking corners
- • Measurements - Side lengths and dimensions
- • Properties Panel - Area, perimeter, and formulas
Three-sided polygon
Shape Properties
Vertices
3
Sides
3
Area
4330.13
square units
Perimeter
300.00
units
Formulas
Area = (√3 / 4) × side²
Perimeter = 3 × side
Shape Characteristics
Polygon: A closed figure with straight sides. Triangles, squares, and hexagons are all polygons.
Regular Polygon: All sides and angles are equal. Square, equilateral triangle, and regular hexagon are examples.
Quadrilateral: Four-sided polygon. Includes squares, rectangles, parallelograms, and trapezoids.
Key Concepts
Area: The amount of space inside a shape, measured in square units.
Perimeter: The distance around the outside of a shape, measured in linear units.
Vertex: A point where two or more sides meet (corner).
Side: A line segment that forms part of the boundary of a shape.
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