GraphPages
Kertas Teknik & Keteknikan

Bidang Koordinat Kartesius

Sumbu X/Y terpusat dengan kuadran berlabel

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A4 Portrait · 210 × 297 mm
100%
Skala fisik 1:1 akurat. Ukur kotak kalibrasi 50 mm pada lembaran cetak.
CSS: 96 DPI
Bagian 02 — Prinsip Matematis

Fondasi Geometris 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).

Rumus:
Q_I: (+x, +y); Q_II: (-x, +y); Q_III: (-x, -y); Q_IV: (+x, -y); Origin: (0, 0)

Asal-usul Sejarah & Evolusi Ilmiah

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, seluruh rendering vektor diproses langsung di browser Anda tanpa kompresi server, memastikan margin dan dimensi fisik akurat hingga 0,05 mm.

Bagian 03 — Penerapan Praktis

Penerapan Nyata di Dunia Industri & Akademik

01

Middle & High School Algebra

Graphing linear equations (y = mx + b), systems of equations, and finding slope and intercepts.

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)).

Bagian 04 — Panduan Menggambar

Panduan Langkah demi Langkah untuk Bidang Koordinat Kartesius

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.

Bagian 05 — Kalibrasi Printer

Panduan Penyetelan Printer & Skala Sebenarnya

Memastikan Akurasi Skala Fisik 1:1 Nyata

Primary X and Y axes are centered within 0.1 mm of the true sheet centroid.

  • Di jendela cetak, pilih Skala: 100% atau Ukuran Sebenarnya.
  • Nonaktifkan 'Fit to Printable Area' agar ukuran kotak tidak menyusut.
  • Ukur batang kalibrasi 50 mm pada margin bawah cetakan dengan penggaris fisik.
Bagian 06 — Pertanyaan Umum

Pertanyaan yang Sering Diajukan (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 di Studio Virtual — Bidang Koordinat Kartesius

Buat sketsa diagram, tandai koordinat, atau gambar bentuk geometris di atas kisi ini langsung di browser Anda.

Buka di Studio Virtual→