Asosiy tarkibga o'tish

12.4-bo'lim : To'rtburchak yuzalar

2. Quyidagi to'rtburchak sirtni chizing.

\[\frac{{{x^2}}}{4} + \frac{{{y^2}}}{9} + \frac{{{z^2}}}{6} = 1\]
Yechim

Bu ellipsoid va har bir atamaning maxrajlaridagi raqamlar bir xil bo'lmagani uchun biz u shar bo'lmasligini bilamiz.

Bu erda mintaqaning bir nechta eskizlari. Biz ularga an'anaviy o'qlarni, shuningdek, sirtni tasavvur qilish uchun "qutili" boltalarni berdik.

A three dimensional sketch of the surface \(\frac{{{x^2}}}{4} + \frac{{{y^2}}}{9} + \frac{{{z^2}}}{6} = 1\) drawn with the traditional axes. It is an ellipsoid centered at the origin that reaches out 2 units along the x-axis, 3 units along the y-axis and \(\sqrt 6 \) units along the z-axis, so it is not quite a sphere.
A three dimensional sketch of the same ellipsoid \(\frac{{{x^2}}}{4} + \frac{{{y^2}}}{9} + \frac{{{z^2}}}{6} = 1\), this time drawn with “boxed” axes to make the surface easier to visualize.