Dab tsi yog kab pheeb ces kaum ntawm lub voos xwmfab thiab nrhiav tau li cas

Cov txheej txheem:

2024 Tus sau: Angel Austin | [email protected]. Kawg hloov kho: 2023-12-17 05:28

Dab tsi yog lub voos xwmfab thiab kab pheeb ces kaum dab tsi nws muaj

Lub voos xwmfab (cov polyhedron tsis tu ncua lossis hexahedron) yog daim duab peb sab, txhua lub ntsej muag yog square, uas, raws li peb paub, txhua sab yog sib npaug. Cov kab pheeb ces kaum ntawm lub voos xwmfab yog ib ntu uas dhau los ntawm qhov nruab nrab ntawm daim duab thiab txuas cov symmetrical vertices. Ib lub hexahedron tsis tu ncua muaj 4 kab pheeb ces kaum, thiab lawv txhua tus yuav sib npaug. Nws yog ib qho tseem ceeb heev kom tsis txhob confuse lub kab pheeb ces kaum ntawm daim duab nws tus kheej nrog cov kab pheeb ces kaum ntawm nws lub ntsej muag los yog lub square uas nyob ntawm nws lub hauv paus. Cov kab pheeb ces kaum ntawm lub ntsej muag lub voos xwmfab dhau los ntawm qhov nruab nrab ntawm lub ntsej muag thiab txuas cov vertices rov qab ntawm lub square.

Tus qauv rau nrhiav kab pheeb ces kaum ntawm lub voos xwmfab

Cov kab pheeb ces kaum ntawm lub polyhedron tsis tu ncua tuaj yeem pom siv cov qauv yooj yim heev uas yuav tsum nco ntsoov. D=a√3, qhov twg D qhia cov kab pheeb ces kaum ntawm lub voos xwmfab, thiab yog ntug. Cia peb muab piv txwv txog qhov teeb meem uas yuav tsum tau nrhiav ib kab pheeb ces kaum yog tias nws paub tias qhov ntev ntawm nws ntug yog 2 cm. Ntawm no txhua yam yog yooj yim D=2√3, koj tsis tas yuav suav dab tsi. Hauv qhov piv txwv thib ob, cia cov ntug ntawm lub voos xwmfab yog √3 cm, ces peb tau txaisD=√3√3=√9=3. Teb: D yog 3 cm.

Tus qauv rau nrhiav kab pheeb ces kaum ntawm lub ntsej muag lub ntsej muag

Diago

nal ntsej muag kuj tuaj yeem pom los ntawm cov qauv. Tsuas muaj 12 lub diagonals uas pw ntawm lub ntsej muag, thiab lawv txhua tus sib npaug. Tam sim no nco ntsoov d=a√2, qhov twg d yog kab pheeb ces kaum ntawm lub square, thiab kuj yog ntug ntawm lub voos xwmfab los yog sab ntawm lub square. Nws yooj yim heev kom nkag siab qhov twg cov qauv no tuaj ntawm. Tom qab tag nrho, ob sab ntawm lub square thiab kab pheeb ces kaum tsim ib txoj cai daim duab peb sab. Nyob rau hauv no trio, kab pheeb ces kaum plays lub luag hauj lwm ntawm lub hypotenuse, thiab ob sab ntawm lub square yog ob txhais ceg, uas muaj tib ntev. Nco qab lub Pythagorean theorem, thiab txhua yam yuav tam sim ntawd poob rau hauv qhov chaw. Tam sim no qhov teeb meem: ntug ntawm lub hexahedron yog √8 cm, koj yuav tsum nrhiav lub diagonal ntawm nws lub ntsej muag. Peb ntxig rau hauv cov qauv, thiab peb tau d=√8 √2=√16=4. Teb: kab pheeb ces kaum ntawm lub ntsej muag ntawm lub voos xwmfab yog 4 cm.

Yog kab pheeb ces kaum lub ntsej muag paub

Raws li qhov xwm txheej ntawm qhov teeb meem, peb tsuas yog muab cov kab pheeb ces kaum ntawm lub ntsej muag ntawm lub ntsej muag polyhedron ib txwm, uas yog sib npaug, hais, √2 cm, thiab peb yuav tsum nrhiav cov kab pheeb ces kaum ntawm lub voos xwmfab. Cov mis rau kev daws qhov teeb meem no yog qhov nyuaj me ntsis dua li yav dhau los. Yog tias peb paub d, ces peb tuaj yeem pom cov ntug ntawm lub voos xwmfab raws li peb tus qauv thib ob d=a√2. Peb tau txais a=d / √2=√2 / √2=1cm (qhov no yog peb ntug). Thiab yog tias tus nqi no paub, ces nws yuav tsis yooj yim los nrhiav cov kab pheeb ces kaum ntawm lub voos xwmfab: D=1√3=√3. Nov yog qhov peb daws peb qhov teeb meem.

Yog thaj chaw thaj chaw paub

Tom ntejqhov kev daws teeb meem algorithm yog nyob ntawm kev nrhiav cov kab pheeb ces kaum raws thaj tsam ntawm lub voos xwmfab. Piv txwv tias nws yog 72cm ². Ua ntej, cia peb nrhiav thaj chaw ntawm ib lub ntsej muag, thiab muaj 6 tag nrho. Yog li, 72 yuav tsum muab faib ua 6, peb tau 12 cm². Qhov no yog thaj tsam ntawm ib lub ntsej muag. Txhawm rau pom cov ntug ntawm ib lub polyhedron tsis tu ncua, koj yuav tsum nco ntsoov cov qauv S=a ², yog li a=√S. Hloov thiab tau txais a=√12 (lub voos xwmfab ntug). Thiab yog hais tias peb paub tus nqi no, ces nws tsis yooj yim nrhiav tus kab pheeb ces kaum D=a√3=√12 √3=√36=6. Teb: kab pheeb ces kaum ntawm ib lub voos xwmfab yog 6 cm^2.

Yog qhov ntev ntawm cov npoo ntawm lub voos xwmfab paub

Muaj cov xwm txheej thaum tsuas yog qhov ntev ntawm txhua lub voos xwmfab tau muab rau hauv qhov teeb meem. Tom qab ntawd koj yuav tsum faib tus nqi no los ntawm 12. Qhov ntawd yog pes tsawg sab nyob rau hauv ib lub polyhedron tsis tu ncua. Piv txwv li, yog tias cov lej ntawm tag nrho cov npoo yog 40, ces ib sab yuav sib npaug rau 40/12=3, 333. Ntxig rau hauv peb cov qauv thawj zaug thiab tau txais cov lus teb!

Pom zoo:

Yuav ua li cas xam cov kab pheeb ces kaum ntawm ib lub square? Cov mis rau qhov ntev ntawm kab pheeb ces kaum ntawm ib square

Nyob rau qib yim, thiab qee zaum txawm tias ntxov dhau los, cov tub ntxhais kawm tau qhia txog lub tswv yim zoo li qhov ntev ntawm kab pheeb ces kaum ntawm lub square. Txawm li cas los xij, tsis yog txhua leej txhua tus nkag siab txog yuav ua li cas thiaj nrhiav tau kab pheeb ces kaum thiab ua kom sai thiab yooj yim, thiab qee tus neeg tsuas tuaj yeem plam cov ncauj lus no hauv tsev kawm. Kab lus no yog rau lawv

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Lub tsev kawm ntawv cov chav kawm geometry tau muab faib ua ob ntu loj: planimetry thiab khoom geometry. Stereometry kawm cov duab spatial thiab lawv cov yam ntxwv. Hauv kab lus no, peb yuav txiav txim siab seb qhov prism ncaj qha yog dab tsi thiab muab cov qauv uas piav txog nws cov khoom xws li qhov ntev ntawm kab pheeb ces kaum, ntim thiab qhov chaw

Dihedral cov ces kaum thiab cov qauv rau lawv suav. Dihedral lub kaum sab xis ntawm lub hauv paus ntawm lub quadrangular li niaj zaus pyramid

Hauv geometry, ob yam tseem ceeb yog siv los kawm cov duab: qhov ntev ntawm ob sab thiab lub kaum sab xis ntawm lawv. Nyob rau hauv cov ntaub ntawv ntawm spatial nuj nqis, lub kaum sab xis dihedral tau ntxiv rau cov yam ntxwv no. Xav seb nws yog dab tsi, thiab piav qhia txog txoj hauv kev los txiav txim siab cov ces kaum no siv qhov piv txwv ntawm lub pyramid

Yuav nyeem phau ntawv sai npaum li cas? Txoj kev nyeem kab pheeb ces kaum. Speed Reading School

Kev nyeem ntawv nrawm tsis tsuas yog pab txuag lub sijhawm, tab sis kuj tso cai rau koj kom nco qab zoo dua cov ntaub ntawv paub. Kev muaj peev xwm nyeem ib phau ntawv hauv ib hnub lossis ib teev yog qhov kev pabcuam zoo hauv kev kawm thiab kev ua haujlwm, tab sis rau ntau tus neeg qhov no zoo li kev npau suav. Peb saib nrog qee qhov kev khib ntawm cov neeg txawj ntse los ntawm cov yeeb yaj kiab uas tsuas yog tawm ntawm cov phau ntawv thiab tau txais tag nrho cov kev paub tsim nyog, tab sis nws hloov tawm tias txhua tus tuaj yeem ua tau

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Koj puas xav tias qhov kev tawm tsam ntawm qhov tshwm sim thiab qhov tseem ceeb tau pib tsis ntev los no? Koj yuam kev lawm. Thiab pej xeem kev txawj ntse khaws tsawg kawg ib lo lus hais tias qhov kev tsis sib haum xeeb ntawm "ua" thiab "zoo li" muaj keeb kwm ntev. Niaj hnub no peb yuav xav txog cov paj lug "Lub tsev pheeb suab tsis yog liab nrog cov ces kaum, tab sis liab nrog pies"