Tsis tu ncua daim duab peb sab prism, nws txoj kev loj hlob thiab thaj chaw saum npoo

Cov txheej txheem:

Tsis tu ncua daim duab peb sab prism, nws txoj kev loj hlob thiab thaj chaw saum npoo
Tsis tu ncua daim duab peb sab prism, nws txoj kev loj hlob thiab thaj chaw saum npoo
Anonim

Daim duab peb sab prism yog ib qho ntawm cov duab geometric feem ntau uas peb ntsib hauv peb lub neej. Piv txwv li, ntawm kev muag khoom koj tuaj yeem nrhiav cov saw tseem ceeb thiab saib hauv daim ntawv ntawm nws. Hauv physics, daim duab no ua los ntawm iav yog siv los kawm txog lub spectrum ntawm lub teeb. Hauv kab lus no, peb yuav hais txog qhov teeb meem hais txog kev txhim kho ntawm daim duab peb sab prism.

Dab tsi yog daim duab peb sab prism

Cia peb xav txog daim duab no los ntawm qhov pom ntawm geometric. Yuav kom tau txais nws, koj yuav tsum coj ib daim duab peb sab nrog arbitrary sab lengths, thiab parallel rau nws tus kheej, hloov nws nyob rau hauv qhov chaw rau ib co vector. Tom qab ntawd, nws yog ib qho tsim nyog los txuas tib lub vertices ntawm thawj daim duab peb sab thiab daim duab peb sab uas tau txais los ntawm kev hloov mus. Peb tau txais ib daim duab peb sab prism. Daim duab hauv qab no qhia txog ib qho piv txwv ntawm daim duab no.

daim duab peb sab prism
daim duab peb sab prism

Daim duab qhia tias nws yog tsim los ntawm 5 lub ntsej muag. Ob sab daim duab peb sab zoo tib yam hu ua bases, peb sab sawv cev los ntawm parallelograms yog hu ua lateral. Qhov no prismkoj tuaj yeem suav 6 vertices thiab 9 ntug, 6 ntawm cov uas nyob rau hauv cov dav hlau ntawm parallel bases.

Regular triangular prism

Ib daim duab peb sab prism ntawm ib hom dav dav tau txiav txim siab saum toj no. Nws yuav raug hu kom raug yog tias muaj ob yam uas yuav tsum tau ua raws li nram no:

  1. Nws lub hauv paus yuav tsum sawv cev rau daim duab peb sab tsis tu ncua, uas yog, tag nrho nws cov ces kaum thiab sab yuav tsum yog tib yam (sib npaug).
  2. Lub kaum sab xis ntawm txhua sab ntsej muag thiab lub hauv paus yuav tsum ncaj, uas yog, 90o.
Tsis tu ncua triangular prism
Tsis tu ncua triangular prism

Daim duab saum toj no qhia cov duab hauv nqe lus nug.

Rau ib daim duab peb sab tsis tu ncua, nws yooj yim los laij qhov ntev ntawm nws kab pheeb ces kaum thiab qhov siab, ntim thiab thaj chaw saum npoo.

Sweep ntawm daim duab peb sab prism

Ua qhov tseeb prism pom nyob rau hauv daim duab dhau los thiab lub hlwb ua cov haujlwm hauv qab no rau nws:

  1. Cia thawj zaug txiav ob lub npoo ntawm lub hauv paus sab saud, uas nyob ze rau peb. Quav lub hauv paus.
  2. Peb yuav ua cov haujlwm ntawm point 1 rau lub hauv paus qis, cia li khoov nws.
  3. Cia li txiav daim duab raws li qhov ze ntawm ntug. Khoov sab laug thiab sab xis ob sab ntsej muag (ob daim duab plaub).

Yog li ntawd, peb yuav tau txais daim duab peb sab prism scan, uas tau nthuav tawm hauv qab no.

Txoj kev loj hlob ntawm ib tug tsis tu ncua daim duab peb sab prism
Txoj kev loj hlob ntawm ib tug tsis tu ncua daim duab peb sab prism

Qhov kev cheb no yooj yim siv los suav thaj tsam ntawm sab nraud thiab cov hauv paus ntawm daim duab. Yog tias qhov ntev ntawm sab ntug yog c thiab qhov ntevsab ntawm daim duab peb sab yog sib npaug rau a, ces rau thaj tsam ntawm ob lub hauv paus, koj tuaj yeem sau tus qauv:

So=a2√3/2.

Thaj chaw ntawm qhov chaw sab nraud yuav sib npaug rau peb thaj chaw ntawm cov duab plaub zoo ib yam, uas yog:

Sb=3ac.

Tom qab ntawd tag nrho thaj chaw saum npoo yuav sib npaug rau Soand Sb.

Pom zoo: