◇ 菱形Rhombus Calculator

使用说明与常见问题How-to & FAQ

「菱形」是什么？What is the Rhombus Calculator tool?

由对角线：面积 = d1d2/2，边 = √((d1/2)2+(d2/2)2)。本地处理。可设置「对角线 1」、「对角线 2」。From diagonals: area = d1d2/2; side = √((d1/2)2+(d2/2)2). Processed locally. Settings: Diagonal 1, Diagonal 2.

如何使用「菱形」？How do I use the Rhombus Calculator tool?

在「菱形」中，填写「对角线 1」、「对角线 2」等参数，结果会随输入实时计算并显示在下方。In the Rhombus Calculator: Fill in "Diagonal 1", "Diagonal 2"; results are recalculated instantly as you type.

只知道边长可以吗？Can I start from the side length?

本页需要两条对角线：面积 = d₁ × d₂ ÷ 2，边长 = √((d₁/2)² + (d₂/2)²)。只有边长不能确定菱形（还需要一个角或一条对角线）；已知边长 a 和一个角 θ 时，面积 = a² × sin θ。This page needs both diagonals: area = d₁ × d₂ ÷ 2 and side = √((d₁/2)² + (d₂/2)²). A side alone does not fix a rhombus (you also need an angle or a diagonal); with side a and angle θ, area = a² × sin θ.

能举个计算实例吗？Can you show a worked example?

例如在「菱形」中填 对角线 1 = 6，对角线 2 = 8，结果区显示：面积：24；边长：5；周长：20For example, entering Diagonal 1 = 6, Diagonal 2 = 8 in the Rhombus Calculator gives: Area: 24; Side: 5; Perimeter: 20

哪些输入会被检查？Which inputs are validated?

「菱形」会检查这些输入——「对角线 1」：必须填写，须大于 0且不大于 1,000,000,000；「对角线 2」：必须填写，须大于 0且不大于 1,000,000,000；绝对值超过 10¹⁵ 的数也会被拒绝。不符合时结果区显示具体提示，不会给出数字。The Rhombus Calculator checks its inputs — "Diagonal 1": required, must be more than 0 and at most 1,000,000,000; "Diagonal 2": required, must be more than 0 and at most 1,000,000,000; numbers above 10¹⁵ in absolute value are rejected too. When a value fails, the result area names the problem instead of showing a number.

有哪些选项可以调整？What options can I adjust?

「菱形」的设置：「对角线 1」默认 6；「对角线 2」默认 8。每次生成结果都按当前设置处理。Settings in the Rhombus Calculator — "Diagonal 1" default 6; "Diagonal 2" default 8. The result always uses the current settings.

计算精度如何？How precise are the results?

「菱形」使用 JavaScript 双精度浮点数（约 15–16 位有效数字）；极大或极小的数值可能存在精度误差。The Rhombus Calculator uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.

「菱形」免费吗？需要注册吗？Is the Rhombus Calculator free? Do I need an account?

「菱形」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Rhombus Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.