🔺 正四棱锥Square Pyramid

使用说明与常见问题How-to & FAQ

「正四棱锥」是什么？What is the Square Pyramid tool?

体积 V = a² h / 3；侧面斜高与侧面积示意。本地处理。可设置「底边」、「高」。Volume V = a² h / 3; slant height and lateral area demo. Processed locally. Settings: Base edge, Height.

如何使用「正四棱锥」？How do I use the Square Pyramid tool?

在「正四棱锥」中，填写「底边」、「高」等参数，结果会随输入实时计算并显示在下方。In the Square Pyramid: Fill in "Base edge", "Height"; results are recalculated instantly as you type.

斜高指的是什么？What does slant height mean here?

斜高是从塔尖到底面一条边中点的距离，即侧面三角形的高：s = √(h² + (a/2)²)。它和侧棱（塔尖到底角的距离）不同。侧面积 = 2 × a × s。The slant height runs from the apex to the midpoint of a base edge, the height of each triangular face: s = √(h² + (a/2)²). It is not the lateral edge to a corner. Lateral area = 2 × a × s.

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

例如在「正四棱锥」中填 底边 = 6，高 = 4，结果区显示：体积：48；斜高：5；侧面积示意：60For example, entering Base edge = 6, Height = 4 in the Square Pyramid gives: Volume: 48; Slant height: 5; Lateral area demo: 60

哪些输入会被检查？Which inputs are validated?

「正四棱锥」会检查这些输入——「底边」、「高」：必须填写，须大于 0；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 Square Pyramid checks its inputs — "Base edge", "Height": required, must be greater than 0; 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?

「正四棱锥」的设置：「底边」默认 6；「高」默认 4。每次生成结果都按当前设置处理。Settings in the Square Pyramid — "Base edge" default 6; "Height" default 4. The result always uses the current settings.

计算精度如何？How precise are the results?

「正四棱锥」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 Square Pyramid uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.

「正四棱锥」免费吗？需要注册吗？Is the Square Pyramid free? Do I need an account?

「正四棱锥」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 Square Pyramid is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.