📐 几何工具📐 Geometry Tools

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📐 几何工具📐 Geometry Tools

共 28个免费在线工具

向量夹角计算器Angle Between Vectors两向量夹角计算器。输入两个向量的分量，按 θ = arccos(a·b/(|a||b|)) 求夹角（弧度/角度），用于几何、物理与机器学习中的方向关系计算。Compute the angle between two vectors from their components using θ = arccos(a·b/(|a||b|)), returned in both radians an… 二维点积计算器Dot Product 2d输入两个二维向量的分量，计算它们的点积 a·b=a_x·b_x+a_y·b_y，以及向量 a 在 b 上的投影长度，用于力学分解、图形学与向量夹角的几何分析。Compute the dot product a·b = a_x·b_x + a_y·b_y of two 2D vectors, including the projection length of a onto b 长方体体积计算器Rectangular Prism Volume输入长方体的长、宽、高，计算其体积 V=l·w·h 与表面积，用于装箱、房间容积、仓储空间等矩形体对象的尺寸估算与材料用量核算。Compute rectangular prism volume V = l·w·h and surface area from length, width and height 正多边形内角计算器Polygon Interior Angle正多边形内角计算器。输入边数 n，按 θ = (n−2)·180°/n 求正多边形每个内角，用于多边形绘图、铺砖与几何教学。Compute each interior angle of a regular polygon from side count n using θ = (n−2)·180°/n 球表面积计算器Sphere Surface Area球表面积计算器。输入球半径，按 A = 4πr² 求表面积，用于球体包装、热传导面积与几何建模的表面积估算。Compute sphere surface area from radius using A = 4πr² 中点坐标计算器Midpoint 2d线段中点计算器。输入两点坐标 (x₁,y₁)、(x₂,y₂)，按 M = ((x₁+x₂)/2, (y₁+y₂)/2) 求中点坐标，用于几何、图形处理与坐标定位。Compute the midpoint of a line segment from endpoints (x₁,y₁) and (x₂,y₂) using M = ((x₁+x₂)/2, (y₁+y₂)/2) 三角形面积计算器（海伦公式）Triangle Heron海伦公式（A = √(s(s−a)(s−b)(s−c))）Compute triangle area from three side lengths a, b, c using A = √(s(s−a)(s−b)(s−c)) with semi-perimeter s 正多边形面积计算器Regular Polygon Area正多边形面积（A = n·s² / (4·tan(π/n))）Compute regular polygon area from side count n (n ≥ 3) and side length s using A = n·s²/(4·tan(π/n)) 点到直线距离计算器Point Line Distance距离（d = |Ax₀+By₀+C| / √(A²+B²)）Compute the shortest distance from point (x₀,y₀) to line Ax + By + C = 0 using d = |Ax₀ + By₀ + C| / √(A² + B²) 椭圆面积计算器Ellipse Area输入椭圆的长半轴 a 与短半轴 b，使用公式 A=π·a·b 计算其面积，用于机械零件、花坛、轨道截面等椭圆形状的面积估算与图纸标注核对。Compute ellipse area from the semi-major axis a and semi-minor axis b using A = π·a·b 椭球体积计算器Ellipsoid Volume输入椭球的三个半轴 a、b、c，使用公式 V=4/3·π·a·b·c 计算其体积，用于天体、细胞、药丸或储罐等椭球形体的容积估算与三维建模。Compute ellipsoid volume from three semi-axes a, b and c using V = 4/3·π·a·b·c 圆台体积计算器Cone Frustum Volume由上下底半径与高求圆台体积Compute the volume of a conical frustum from the upper radius r, lower radius R and height h using V = πh/3·(R² + Rr +… 球体积计算器Sphere Volume球体积计算器。输入球半径，按 V = (4/3)πr³ 求体积，用于球罐容量、球体物料与几何建模的体积计算。Compute sphere volume from radius using V = (4/3)πr³ 三维距离计算器Distance 3d输入两点 (x1,y1,z1) 与 (x2,y2,z2)，求三维距离。Compute the straight-line distance between two points in 3D space using d = √[(x₂−x₁)² + (y₂−y₁)² + (z₂−z₁)²] 扇形面积计算器Sector Area扇形面积（A = r²·θ / 2，θ 为弧度）Compute circular sector area from radius and central angle in radians using A = r²θ/2 抛物线顶点计算器Parabola Vertex顶点（x_v = −b/2a，y_v = f(x_v)）Compute the vertex coordinates (x_v = −b/2a, y_v = f(x_v)) and axis of symmetry of a quadratic y = ax² + bx + c from it… 圆柱体积计算器Cylinder Volume圆柱体积（V = π·r²·h）Compute cylinder volume from base radius and height using V = πr²h 圆锥体积计算器Cone Volume圆锥体积（V = π·r²·h / 3）Compute cone volume from base radius and height using V = πr²h/3 弦长计算器Chord Length弦长（c = 2r·sin(θ/2)）Compute chord length from radius and central angle in radians using c = 2r·sin(θ/2) 弧长计算器Arc Length弧长（L = r·θ，θ 为弧度）Compute arc length from radius and central angle using L = r·θ, with built-in degrees-to-radians conversion 梯形面积计算器Trapezoid Area梯形面积（A = (a + b)·h / 2）Compute trapezoid area from the two bases a, b and height h using A = (a+b)h/2 矩形对角线计算器Rectangle Diagonal对角线（d = √(w² + h²)）Compute rectangle diagonal from width w and height h using d = √(w² + h²) 圆周长计算器Circle Circumference圆周长（C = 2π·r）Compute circle circumference from radius using C = 2π·r 圆面积计算器Circle Area圆面积（A = π·r²）Compute circle area from radius using A = π·r² 环体（轮胎）体积计算器Torus Volume由主半径与管半径求环体体积Compute torus volume from major radius R (to tube center) and tube radius r using V = 2·π²·R·r² 立方体属性计算器Cube Properties由边长求体积、表面积、体对角线Compute cube volume V = a³, surface area A = 6a² and space diagonal d = a√3 from edge length a 勾股定理计算器Pythagorean斜边（c = √(a² + b²)）Compute the hypotenuse from legs a and b using c = √(a² + b²) V = (1/3) · 底面积 · 高Pyramid Volume棱锥体积计算器。输入底面积与高，按 V = (1/3)·底面积·高 求棱锥体积，用于棱锥、帐篷与锥台类几何体的体积估算。Compute pyramid volume from base area and height using V = (1/3)·base area·height
📖关于「几何工具」About Geometry Tools▼

📝栏目简介

几何工具集合收录了 28 个免费在线工具，覆盖几何场景下的常见计算、换算与查询需求。无论你是相关领域的从业者、学生还是普通用户，都能在这里找到即用即走的实用小工具。所有工具纯前端运行，数据不上传服务器，保护隐私安全。This collection gathers 28 free online Geometry tools for everyday calculations, conversions and lookups. Whether you are a professional, a student or a casual user, you will find handy tools you can use right away. Everything runs client-side — no data is uploaded.

✨核心功能与适用场景

本页收录的几何工具包括（部分代表工具）：Featured Geometry tools on this page include:

  • 向量夹角计算器Angle Between Vectors
  • 长方体体积计算器Rectangular Prism Volume
  • 正多边形内角计算器Polygon Interior Angle
  • 中点坐标计算器Midpoint 2d
  • 三角形面积计算器（海伦公式）Triangle Heron
  • 点到直线距离计算器Point Line Distance
  • 椭圆面积计算器Ellipse Area
  • 圆台体积计算器Cone Frustum Volume
  • 球体积计算器Sphere Volume
  • 扇形面积计算器Sector Area
  • 圆柱体积计算器Cylinder Volume
  • 圆锥体积计算器Cone Volume
  • 弧长计算器Arc Length
  • 梯形面积计算器Trapezoid Area
  • 圆周长计算器Circle Circumference
  • 圆面积计算器Circle Area
  • 立方体属性计算器Cube Properties
  • 勾股定理计算器Pythagorean

这些工具帮助你快速完成几何相关的常见任务，无需记忆复杂公式或手动换算，输入即可得结果。These tools help you complete Geometry tasks quickly — no formulas to memorise and no manual conversion, just enter your values and get the result.

❓常见问题

几何分类下的工具需要下载或注册吗？Do Geometry tools require any download or sign-up?

不需要。本页 28 个几何工具（如向量夹角计算器、长方体体积计算器、正多边形内角计算器、中点坐标计算器、三角形面积计算器（海伦公式）、点到直线距离计算器）都是纯前端页面，打开网页即可使用，无需安装软件、无需注册账号；输入的数据只在你的浏览器内处理，不会上传服务器。No. The 28 Geometry tools on this page (including Angle Between Vectors, Rectangular Prism Volume, Polygon Interior Angle, Midpoint 2d, Triangle Heron, Point Line Distance) are pure front-end pages: just open them and start using. No software to install, no account needed, and anything you enter is processed inside your browser — never uploaded.

几何工具的结果能直接用于医疗、法律或财务决策吗？Can the results be used directly for medical, legal or financial decisions?

不能直接作为决策依据。本页工具多为通用计算、换算与查询，结果仅供日常参考；涉及诊断、诉讼、投资、工程验收等专业场景，请以权威标准、原始仪器读数或持证专业人士的结论为准。所有运算都在本地完成，数据不上传。No — treat them as everyday references only. Most tools here are general-purpose calculators, converters and lookups; for diagnosis, litigation, investment or engineering acceptance, rely on authoritative standards, raw instrument readings or a licensed professional. Everything is computed locally and nothing is uploaded.