数学学习

三维空间中的坐标轴和坐标平面

探索三维空间中的X、Y、Z坐标轴以及XY、XZ、YZ坐标平面。了解如何使用坐标定位点,并可视化轴与平面之间的关系。

Interactive Coordinate Axes and Planes Visualization

Introduction

Explore fundamental geometric concepts in 3D space. Points represent locations, lines connect points, and planes are flat surfaces. Understand the X, Y, and Z coordinate axes and how they define the 3D coordinate system.

Features:
  • Points: Create points in 3D space and see their coordinates
  • Line Segments: Connect two points with a finite line segment
  • Rays: Draw rays that extend infinitely in one direction
  • Lines: Create infinite lines extending in both directions
  • Planes: Visualize flat surfaces in XY, XZ, YZ, or custom orientations
  • Interactive Controls: Rotate, zoom, and pan to view from different angles
  • Labels: Toggle point labels and coordinate axes

How to Use

  • Points: Enter X, Y, Z coordinates and click "Add Point"
  • Lines: Create at least 2 points, then select line type and choose start/end points from dropdowns (or leave empty to use last 2 points)
  • Planes: Select plane orientation (XY, XZ, YZ) or create custom plane with 3 points
  • Navigation: Click and drag to rotate, scroll to zoom, right-click and drag to pan
  • Selection: Click on a point in the list to highlight it in the 3D view
  • Coordinates: Points are positioned at the exact coordinates you specify (X, Y, Z)

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If this message persists, please install Three.js: pnpm install three @types/three

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三维空间中的坐标轴和坐标平面 | Maths Learning