Thaj Av vs Ntog Thaj Tsam
Geometry yog ib ceg tseem ceeb ntawm kev ua lej uas peb kawm txog cov duab, qhov loj me thiab cov khoom ntawm cov duab. Nws pab peb nkag siab thiab faib qhov chaw.
Area
Nyob hauv Euclidean geometry, peb tham txog cov khoom ntawm ob-dimensional duab, los yog nyob rau hauv lwm yam lus, dav hlau daim duab, xws li duab plaub, daim duab peb sab thiab lub voj voog. Nws yog feem ntau hais tias lo lus 'chaw' los rau peb lub siab, thaum peb tham txog lub dav hlau geometry, uas tseem hu ua Euclidean geometry. Thaj chaw yog ib qho kev nthuav qhia ntawm qhov loj ntawm daim duab dav hlau. Lub dav hlau daim duab yog ob-dimensional duab, uas yog bounded los ntawm kab hu ua sab. Lub cheeb tsam ntawm lub dav hlau daim duab yog ib qho kev ntsuas ntawm qhov chaw npog los ntawm ib tug muab. Yog li ntawd, nws yog tus nqi ntawm qhov chaw nyob rau hauv nws cov bounding kab. Thaj chaw yog qhia nyob rau hauv square units. Muaj ntau cov qauv uas paub zoo los xam cov cheeb tsam ntawm cov qauv dav hlau yooj yim.
Ntog Area
Tsuas yog, thaj chaw saum npoo yog thaj tsam ntawm qhov chaw muab khoom ntawm cov khoom. Ib qho khoom yog ib daim duab peb sab. Ib lub polyhedron yog ib qho khoom khi ntawm lub ntsej muag tiaj tus polygonal. Cuboids, prisms, pyramids, cone thiab tetrahedrons yog ob peb yam piv txwv rau polyhedrons. Yog li ntawd, thaj chaw saum npoo ntawm polyhedron yog qhov kev suav ntawm thaj chaw ntawm nws lub ntsej muag. Peb tuaj yeem siv cov qauv hauv cheeb tsam los tsim thaj tsam ntawm polyhedron.
Piv txwv li, ib lub voos xwmfab muaj rau lub ntsej muag. Yog li ntawd, nws thaj chaw saum npoo yuav yog qhov sib npaug ntawm thaj chaw ntawm tag nrho rau qhov chaw. Txij li tag nrho cov sab ntawm lub voos xwmfab yog cov squares nrog qhov sib npaug ntawm qhov loj me, peb tuaj yeem nthuav qhia thaj tsam ntawm ib lub voos xwmfab li 6 x (Tej thaj tsam ntawm lub ntsej muag ntawm lub voos xwmfab (uas yog square)).
Cia peb xav txog lub tog raj kheej txoj cai. Lub tog raj kheej yog khi los ntawm ob lub dav hlau sib luag lossis cov hauv paus thiab los ntawm qhov chaw tsim los ntawm kev hloov lub duab plaub txog ib qho ntawm nws sab. Lub hauv paus ntawm txoj cai ncig lub tog raj kheej yog lub voj voog. Yog li ntawd, thaj chaw saum npoo ntawm lub tog raj kheej tuaj yeem nthuav tawm raws li qhov kev suav ntawm thaj chaw ntawm ob lub voj voog thiab ib daim duab plaub. Qhov cheeb tsam ntawm qhov nkhaus ntawm lub tog raj kheej, uas yog ib daim duab plaub yog sib npaug rau (Circumference of the base) x (Altitude). Txij li lub voj voog ntawm lub voj voog nrog lub vojvoog r yog 2Π r, thaj tsam ntawm lub tog raj kheej nrog lub hauv paus vojvoog r thiab qhov siab h yog sib npaug rau 2Πrh + 2Πr 2
Kev suav ntawm thaj chaw rau cov khoom peb-dimensional, uas yog bounded los ntawm qhov chaw uas yog nkhaus nyob rau hauv ntau tshaj ib qho kev taw qhia xws li tus kheej yuav nyuaj tshaj nws yog rau polyhedron. Zoo li cheeb tsam, thaj chaw saum npoo kuj tau qhia hauv square units.
Qhov txawv ntawm Cheeb Tsam thiab Ntog Thaj Tsam yog dab tsi?
• Thaj tsam yog qhov ntsuas qhov loj ntawm daim duab ob sab.
• Ntog Cheeb Tsam yog qhov ntsuas qhov loj ntawm daim duab peb sab.
