🧮 数学计算工具

🧮 GCD / LCM 计算器Gcd Lcm 输入两个或多个整数，用辗转相除法求最大公约数（GCD）并据此求最小公倍数（LCM），用于约分与通分。Gcd Lcm - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 🧮 一元二次方程求根计算器Quadratic Solver 一元二次方程求根计算器依据判别式 Δ=b²−4ac 求解 ax²+bx+c=0 的两个根，支持实根与复根，适合代数作业与工程方程求解。Quadratic Solver - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 🧮 与 ∛xRoot Calc 开方计算器求平方根、立方根及任意次方根，支持正负输入，适合数学、几何与工程中的根式运算与尺寸推导。Root Calc - calculate online, free and accurate. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation... 🧮 任意底数对数计算器Log Base 任意底数对数计算器依据换底公式求以任意底数为底的对数，适合数学、信息论与工程中的对数换算与指数反解。Log Base - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 📏 几何计算器Geometry Calculator 几何计算器支持常见 2D/3D 图形的面积、体积与周长计算，覆盖圆、三角形、球、柱等，适合学习、工程与日常几何量求解。Geometry Calculator - calculate online, free and accurate. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math C... 📐 勾股定理Pythagorean Theorem Calculator 输入直角三角形任意两条边长，自动计算第三条边及两个锐角度数，用于几何与工程测量。Compute sides of a right triangle (a^2 + b^2 = c^2). Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calcula... 🧮 取模运算Modulo Calc 取模运算计算器求 a 除以 b 的余数，支持正负数，适合编程、哈希与周期问题中的模运算验证。Modulo Calc - calculate online, free and accurate. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculati... ⭕ 圆的面积/周长Circle Area / Circumference Calculator 输入半径、直径、面积或周长中的任意一项，自动计算其余三项，用于圆的几何参数换算。Compute area and circumference of a circle. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 📋 常用公式速查Formula Calculator 常用公式速查：内置数学、物理、化学、几何公式，填参数即算，附单位口径提示。Formula Calculator - calculate online, free and accurate. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Ca... 🧮 幂运算Power Calc 幂运算计算器求底数 x 的 y 次幂 x^y，支持整数与小数指数，适合数学、复利与科学计算中的指数运算。Power Calc - calculate online, free and accurate. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculatio... 🧮 平面两点距离计算器Distance 2d 平面两点距离计算器依据坐标求二维平面上两点间的欧氏距离，支持批量，适合几何、地图与图形处理中的距离测算。Distance 2d - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 📐 微积分工具Calculus Tools 微积分工具集支持函数求导、不定积分、极限与级数展开计算，输入表达式实时输出结果，适合高等数学学习、作业验算与工程函数分析。Calculus Tools - calculate online, free and accurate. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calcul... 🧮 排列数计算器Permutation 排列数计算器求从 n 个元素取 r 个的排列数 P(n,r)，适合组合数学、排班与概率问题中的有序选择计算。Permutation - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 🧮 斐波那契第 n 项计算器Fibonacci N 斐波那契第 n 项计算器用迭代法快速求出数列第 n 项，适合数列学习、算法演示与自然规律（如黄金分割）相关计算。Fibonacci N - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 🧮 方程求解器Equation Solver 方程求解器支持一元一次/二次、二元及三元线性方程组求解，输入系数实时输出根或解，适合数学作业、工程计算与方程组验证。Equation Solver - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. ⚖️ 比例计算Ratio Calculator 依据比例式 A:B=C:D，输入任意三项求解第四项未知数，适用于配方缩放、地图比例与相似图形计算等比例换算场景。Solve for an unknown term in a proportion. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 🔺 由三边长求三角形面积Herons Area 输入三角形三边长a、b、c，按海伦公式 A = √[s(s−a)(s−b)(s−c)] 计算其面积，无需已知高。Herons Area - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 📦 由两三维向量求点积Dot Product 向量点积计算器求两向量各分量乘积之和 A·B，支持三维，适合几何、物理与机器学习中的投影、夹角与相似度计算。Dot Product - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 🔺 由两边及夹角求第三边Law of Cosines 输入两边a、b及其夹角C（度），按 c = √(a²+b²−2ab·cosC) 计算第三边，适用于非直角三角形求解。Law of Cosines - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 🔢 由二次项系数求判别式Quadratic Discriminant 输入一元二次方程系数a、b、c，计算判别式 Δ = b²−4ac，据此判断方程实根的个数与性质。Quadratic Discriminant - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 🔲 由二阶矩阵四元素求行列式Determinant 2x2 输入二阶矩阵元素a、b、c、d，按 |A| = ad−bc 计算其行列式值，用于线性代数基础运算。Determinant 2x2 - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 🔄 由元素个数求环形排列数Circular Permutation 环形排列数计算器依据 P=(n−1)! 求 n 个元素围成圆环的排列数，适合组合数学、座位编排与概率问题求解。Circular Permutation - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 🔺 由已知边角与对角求未知边长Law of Sines 输入已知边 b、其对角 B 与待求边对角 A(度)，按正弦定理 a=b·sinA/sinB 求解未知边长，用于三角形边角计算与测量。Law of Sines - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 🔢 由底数与结果求指数Exponent Solve 输入底数a与结果b，按 x = ln b/ln a 求解指数方程 a^x = b 中的指数x，用于对数与指数运算。Exponent Solve - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 🔲 由总数与各类别数求多项式系数Multinomial Coefficient 输入总数 n 与三个类别数 k₁、k₂、k₃（和为 n），求多项式系数。Multinomial Coefficient - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. ➗ 由数值序列求算术平均数Arithmetic Mean Math 输入一组以逗号或空格分隔的数值，计算其算术平均数 x̄ = Σx/n，用于统计平均值快速求解。Arithmetic Mean Math - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 🔁 由类型数与选取数求可重复组合数Combination Repetition 输入类型数n与选取数r，计算允许元素重复的组合数 C(n+r−1, r)，用于抽样、分配与组合计数问题。Combination Repetition - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 📈 由项数、首末项求等差级数和Arithmetic Series Sum 输入项数n、首项a₁与末项aₙ，按 S_n = n(a₁+aₙ)/2 计算等差数列前n项之和。Arithmetic Series Sum - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 📈 由首项、公比与项数求等比级数和Geometric Series Sum 输入首项a、公比r与项数n，按 S_n = a(1−rⁿ)/(1−r) 计算等比数列前n项之和（r≠1）。Geometric Series Sum - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. #️⃣ 由首项、公比与项数求通项Nth Term Geometric 输入首项a₁、公比r与项数n，按 aₙ = a₁·r^(n−1) 计算等比数列的第n项值。Nth Term Geometric - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 🧮 百分比变化计算器Percent Change Δ% = (新 − 旧) / 旧 × 100%Percent Change - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 📊 百分比计算Percentage Calculator 支持多种常见百分比运算（求百分比、增减幅、占比等），输入任意两个已知量即可自动算出第三个，用于日常与财务比例计算。Compute the four common percentage operations. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation t... 🧮 直线斜率计算器Slope Line 直线斜率计算器由两点坐标求直线斜率 k，适合解析几何、函数作图与工程坡度（如道路、屋顶）的倾斜度计算。Slope Line - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 🧮 组合数计算器Combination 组合数计算器求从 n 个元素中选取 r 个的组合数 C(n,r)，支持大数运算，适合概率统计、抽奖与组合问题计算。Combination - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 🧮 试除法判定素数Prime Check 素数判定计算器用试除法判断给定正整数是否为质数，输出结果并展示因数，适合数论学习、密码学基础与算法练习。Prime Check - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math Calculation tools. 🧮 阶乘计算器Factorial Calculate 阶乘计算器求非负整数的阶乘 n!，定义 0!=1，支持大数，适合排列组合、概率与级数计算中的阶乘运算。Factorial Calculate - calculate online, free and accurate. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Math C...