01
Middle & High School Algebra
Graphing linear equations (y = mx + b), systems of equations, and finding slope and intercepts.
工程与技术制图纸
平面直角坐标系
带坐标象限与中心原点的数学坐标纸
A4 Portrait · 210 × 297 mm
100%
严格1:1物理打印比例。请用直尺测量纸面上的 50mm 校准框。
CSS: 96 DPI第二部分 — 数学原理与几何标准
几何基础与坐标解析公式
Cartesian 4-Quadrant Plane
A Cartesian coordinate plane divides a 2-dimensional space into four quadrants via two perpendicular directed axes intersecting at the origin (0, 0). The horizontal line is the X-axis (abscissa) and the vertical line is the Y-axis (ordinate).
数学公式：
Q_I: (+x, +y); Q_II: (-x, +y); Q_III: (-x, -y); Q_IV: (+x, -y); Origin: (0, 0)历史渊源与科学演变
Named after French mathematician and philosopher René Descartes (1596–1650), the Cartesian coordinate system bridged Euclidean geometry and elementary algebra, giving birth to analytic geometry and calculus.
在 GraphPages.com 中，所有矢量渲染均在您的浏览器客户端直接执行，无需服务器二次压缩，确保纸张边距、分度刻度与物理尺寸精度达到 0.05 毫米以内。
第三部分 — 行业与学术应用
跨行业的真实专业应用
02
Geometry Transformations
Plotting reflections, rotations, translations, and dilations of geometric polygons across quadrants.
03
Trigonometric Sine & Cosine Waves
Graphing periodic waves with origin-centered symmetry across negative and positive domains.
04
Physics Kinematics & Vector Resolution
Decomposing 2D force vectors into orthogonal components (Fx = F · cos(θ), Fy = F · sin(θ)).
第四部分 — 绘图实操教程
平面直角坐标系 分步绘图与打点指南
步骤 01
Identify the Center Origin (0, 0)
The intersection of the two bold arrow-tipped lines represents the origin (0, 0).
步骤 02
Number Axis Milestones
Use the major line intervals (every 5 grid cells) to label milestones: 5, 10, 15 on positive axes and -5, -10 on negative axes.
步骤 03
Plot Ordered Pairs (x, y)
Move horizontally along the X-axis to x, then vertically parallel to the Y-axis to y. Mark the point with a distinct dot.
步骤 04
Connect Points for Functions
Connect points with a continuous curve or line, extending with arrowheads to indicate infinite domains.
第五部分 — 打印机物理校准
打印机设置与实际物理比例校验
确保物理尺寸 1:1 绝对精准
Primary X and Y axes are centered within 0.1 mm of the true sheet centroid.
- 在打印设置中选择“缩放：100%”或“实际大小”。
- 切勿勾选“适应可打印区域”或“缩小超大页面”，以避免打印驱动缩放失真。
- 用实体直尺实测页面下边缘印制的 50 毫米校准条予以核对。
第六部分 — 常见问题解答
常见问题解答 (FAQ)
Are the X and Y axes centered on the page?
Yes. Our coordinate plane generator centers the primary axes precisely on the page with heavier line weights and directional arrowheads.
How many quadrants are displayed?
All four quadrants (I, II, III, and IV) are displayed with equal dimensional extent around the central origin.
Can I adjust the grid spacing between axis ticks?
Yes. You can adjust the sub-grid spacing from 2 mm to 10 mm using the spacing slider.
Can I draw on this coordinate plane online?
Yes! Click 'Open in Virtual Studio' to plot vectors, draw shapes, and add labels directly on this coordinate plane in your browser.
在虚拟工作室中打开 — 平面直角坐标系
在浏览器中直接在此网格上绘制示意图、标注坐标或草绘几何图形。立即在交互式虚拟工作室中启动此模板。