3D ግራፊንግ ካልኩሌተር
በ3D ቅርጸት ውስጥ የz = f(x, y) ን ቅርጽ ይስጡ - ይዞሩና ይጨምሩ፣ ነፃ በመስመር ላይ
መተላለፊያ ለምሳሌ x^2-y^2, sin(x)*cos(y), sqrt(x^2+y^2)
ስለዚህ መተግበሪያ
the calculator plots a surface defined by z = f(x, y) as a rotatable wireframe, enter an expression in x and y, such as sin(x) * cos(y) or x^2 - y^2, and drag to orbit the surface in three dimensions. Useful for visualizing multivariable functions, saddle points and peaks. This turns an abstract two-variable formula into a shape you can actually see — hills, valleys, ridges and the pass-shaped saddle points where a surface rises in one direction while falling in another. This turns an abstract two-variable formula into a shape you can actually see — hills, valleys, ridges and the pass-shaped saddle points where a surface rises in one direction while falling in another. This turns an abstract two-variable formula into a shape you can actually see.For example, the calculator plots a surface defined by z = f(x, y) as a rotatable wireframe, and enter an expression in x and y, such as sin(x) * cos(y) or x^2 - y^2, and drag to orbit the surface in three dimensions.The calculator plots a surface defined by z = f(x, y) as a rotatable wireframe.The calculator sweeps x and y across a grid, evaluates your expression at each grid point to get a height z, and connects those heights into a mesh that stands up off the flat xy-plane. Dragging orbits the camera around the surface so you can see it from any angle, and the zoom control moves you closer or further away. This turns an abstract two-variable formula into a shape you can actually see — hills, valleys, ridges and the pass-shaped saddle points where a surface rises in one direction while falling in another. This turns it into a regular egg-carton of alternating bumps and dips.The calculator plots a surface defined by z = f(x, y) as a rotatable wireframe. Enter an expression in x and y, such as sin(x) * cos(y) or x^2 - y^2, and drag to orbit the surface in three dimensions. Useful for visualizing multivariable function
የሚጠየቁ ጥያቄዎች
3D ተግባርን እንዴት እገባለሁ?
x እና y መካከል ሐረግን ይጻፉ, ለምሳሌ x^2 - y^2 ወይም sin(x)*cos(y)። መተግበሪያው በግጥሚያ ላይ ያጣራዋል እና የተገኘውን ቅርጽ ያሳያል
ቅርጽ
አዎ. የቀለም ቅርጽን ለማስቀመጥ ጫን፣ እና ወደ ቅርበት ወይም ወደ ርቀት ለመንቀሳቀስ የዝግመተ ለውጥን ቁጥጥር ይጠቀሙ።
z = f(x, y) ምን ማለት ነው?
ይህ ማለት የላይኛው
የቀን መቁጠሪያውን ቅርጽ አሳይ
x^2 - y^2ን ግቡ. በአንድ አሃድ ላይ ይወጣል በሌላው ላይ ይወርዳል፣ በመጀመሪያው ላይ በሳድል ነጥብ ላይ ይገናኛል - የዚህ ቦታ ከፍታም ሆነ ሸለቆ ያልሆነ የደረጃ ምሳሌ
ምን አይነት ቅርጾች ማየት እችላለሁ?
በ x እና y ውስጥ እንደ መግለጫ ሊጻፍ የሚችል ማንኛውም ነገር፦ ፓራቦሎይድ (x^2 + y^2), ሳድል (x^2 - y^2), ሪፕል (sin(x)*cos(y)) እና የትራጅ፣ ኃይሎች፣ ሩትስ እና ሎግጅዎች ማዋሃድ
ይህ ከ2D ግሬፊንግ ካሌክተሩ እንዴት የተለየ ነው?
የ2D-ውጤቱ y = f (x)ን በአንድ ግድግዳ ላይ እንደ ኮረብታ ይዞራል። ይህ የ3D-ውጤት z = f (x, y)ን እንደ ክፍል ውስጥ ያለው ቅርጽ ይዞራል። ስለዚህ አንድ ዋጋ እንዴት በአንድ ጊዜ ሁለት ተጨማሪ መረጃዎችን እንደሚያገኝ ያሳያል።
ውጤቶች ለታዳሚዎች ብቻ ናቸው፣ የገንዘብ፣ የሕክምና ወይም የክፍያ ምክር አይደሉም፡፡