01
Middle & High School Algebra
Graphing linear equations (y = mx + b), systems of equations, and finding slope and intercepts.
Kertas Teknikal & Kejuruteraan
Satah Koordinat Cartes
Paksi X/Y berpusat dengan sukuan berlabel
A4 Portrait · 210 × 297 mm
100%
Skala fizikal 1:1 sebenar. Ukur kotak penentukuran 50 mm pada cetakan.
CSS: 96 DPIBahagian 02 — Prinsip Matematik
Asas Geometri dan Formula Koordinat
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).
Formula:
Q_I: (+x, +y); Q_II: (-x, +y); Q_III: (-x, -y); Q_IV: (+x, -y); Origin: (0, 0)Asal-usul Sejarah & Evolusi Saintifik
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.
Di GraphPages.com, semua operasi vektor diproses terus dalam pelayar anda tanpa mampatan pelayan, menjamin ketepatan ukuran fizikal dan margin sehingga 0.05 mm.
Bahagian 03 — Kegunaan Praktikal
Aplikasi Sebenar Merentasi Industri
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)).
Bahagian 04 — Tutorial Melakar
Panduan Langkah demi Langkah Melakar pada Satah Koordinat Cartes
LANGKAH 01
Identify the Center Origin (0, 0)
The intersection of the two bold arrow-tipped lines represents the origin (0, 0).
LANGKAH 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.
LANGKAH 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.
LANGKAH 04
Connect Points for Functions
Connect points with a continuous curve or line, extending with arrowheads to indicate infinite domains.
Bahagian 05 — Penentukuran Pencetak
Panduan Persediaan Pencetak & Pengesahan Skala
Menjamin Ketepatan Skala Fizikal 1:1 Sebenar
Primary X and Y axes are centered within 0.1 mm of the true sheet centroid.
- Dalam dialog cetakan, pilih Skala: 100% atau Saiz Sebenar.
- Nyahaktifkan 'Fit to Printable Area' bagi mengelakkan herotan cetakan.
- Ukur palang penentukuran 50 mm pada margin bawah dengan pembaris fizikal.
Bahagian 06 — Soalan Lazim
Soalan Lazim (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.
Buka dalam Studio Maya — Satah Koordinat Cartes
Lakarkan rajah, tandakan koordinat atau lukis bentuk geometri di atas grid ini secara terus dalam pelayar anda.