Madhayagiramu emirazvo egirazi rakatenderera

Chinyorwa pamusoro peRay diagrams yegirazi re convex

Kana chinhu chiri pamberi pegirazi rakamonana rinoburitsa chiedza, girazi rakamonana rinozoumba mufananidzo wechinhu chacho. Kana daro rechinhu kubva pagirazi rakamonana richizivikanwa, ungadhirowa sei mufananidzo wechinhu chacho? Ngatitii chinhu chiri pamberi pegirazi rakamonana, sezvakaratidzwa mumufananidzo uri pazasi.

Madhayagiramu emiranzi yegirazi rakatenderedza girazi 1Mutsetse weorenji = girazi rakatenderedza

Mutsetse webhuruu = mutsetse mukuru

Museve wegirini = chinhu

R = pakati pekukombama kwegirazi rakatenderedzwa

f = kutarisa kwegirazi rakatenderedza

Mifananidzo yezvinhu inowanikwa nekudhirowa mwaranzi yese inopfuura nepakati pezvinhu, asi izvi hazvishande zvakanyanya nekuti pachava nemitsetse yakawanda inomiririra mwaranzi. Kuti zvive nyore, mwaranzi mishoma chete ndiyo inosarudzwa kumiririra mwenje yese yechiedza inopfuura nepakati pechinhu. Sezvo chiitiko ichi chinosanganisira kuratidzwa kwechiedza, mutemo wekuratidzira chiedza unofanirwa kutevedzwa pakudhirowa kuumbwa kwemufananidzo.

Dhayagiramu yemwaranzi

1:

Madhayagiramu emiranzi yegirazi rakatenderedza girazi 2Ranzi 1 kana mwenje wechiedza 1 unouya pagirazi rakatenderedzwa unodhonzwa wakafanana ne axis huru uye unobata mugumo wepamusoro wechinhu chacho,

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zvobva zvaratidzwa negirazi rakatenderedza, apo mwenje wechiedza unoonekwa sekunge uri kubva panzvimbo yakatarisana (f). Chiedza chinouya nechiedza chinoonekwa chinofanira kuzadzisa mutemo wekuratidzira chiedza, uko kona yechiitiko yakaenzana nekona yekuratidzira.

Madhayagiramu emiranzi yegirazi rakatenderedza girazi 32:

Radi 2 kana kuti dara rechiedza 2 rinopinda mugirazi rakatenderedzwa rinokwezvwa kuti ribate mugumo wepamusoro wechinhu chacho,

uye panosvika nzvimbo inopindirana axis huru negirazi rakatenderedzwa, ipapo rambi rechiedza rinoratidzwa. Chiedza chinouya nechiedza chinoratidzwa chinofanira kuzadzisa mutemo wekuratidzira chiedza, uko kona yechiitiko yakaenzana nekona yekuratidzira.

3:

Madhayagiramu emiranzi yegirazi rakatenderedza girazi 4Mwaranzi wechitatu kana kuti mwenje wechitatu unopinda mugirazi rakatenderedzwa unokweverwa pakati pegirazi rakatenderedzwa (R) uye unobata mugumo wepamusoro wechinhu chacho,

yobva yaratidzwa negirazi rakatenderedzwa sekunge rambi rechiedza rinoratidzwa riri pakati pekukombama. Rambi rechiedza rinoratidzwa rinoenderana nerambi rechiedza rinouya. Chiedza chinouya nechiedza chinoratidzwa chinofanira kuzadzisa mutemo wekuratidzira chiedza, uko kona yechiitiko yakaenzana nekona yekuratidzira. Kana rambi rechiedza rikasvika pakuenderana nerambi rechiedza rinoratidzwa, rambi rechiedza rinofanira kunge rakatarisa (90 o ) pamusoro pegirazi rakatenderedzwa.

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Kuumbwa kwemufananidzo (mirasi miviri)

Kuumbwa kwemufananidzo kunogona kudhirowa uchishandisa maranzi maviri chete, sezvakaratidzwa mumufananidzo uri pazasi. Kana ukashandisa maranzi maviri, pane mifananidzo mitatu inogona kuumbwa.

Ray 1 neRay 2

Madhayagiramu emiranzi yegirazi rakatenderedza girazi 5

Ray 1 neRay 3

Madhayagiramu emiranzi yegirazi rakatenderedza girazi 6

Ray 2 neRay 3

Madhayagiramu emiranzi yegirazi rakatenderedza girazi 7

Mufananidzo wekuumbwa kwemufananidzo uchishandisa mwenje miviri chete yechiedza unofanirwawo kugadziriswa nedaro rechinhu kubva pagirazi rakamonana. Kana daro rechinhu kubva pagirazi rakamonana riri seriri pamufananidzo uri pamusoro, saka pane nzira nhatu dzekudhirowa mufananidzo uchishandisa mwenje miviri chete yechiedza. Kana daro rechinhu kubva pagirazi rakamonana rakasiyana sezvakaratidzwa pamufananidzo uri pamusoro, semuenzaniso, chinhu chiri pakati penzvimbo yekutarisa nepakati pekukombama; saka hapana nzira nhatu dzekudhirowa mufananidzo, pamwe pane nzira mbiri chete dzekudhirowa.

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Kana ukadhirowa mufananidzo negirazi rakamonana, unogona kusarudza nzira imwe chete uye haufanirwe kushandisa nzira mbiri kana nhatu.

Kuumbwa kwemufananidzo (matatu-ray)

Kuumbwa kwemufananidzo kunogona kudhirowa uchishandisa mwenje mitatu yechiedza kana maranzi matatu, sezvakaratidzwa mumufananidzo uri pazasi.

Madhayagiramu emiranzi yegirazi rakatenderedza girazi 8Kana daro rechinhu kubva pagirazi rakamonana risina kuratidzwa mumufananidzo, semuenzaniso, kana chinhu chacho chiri pakati pegirazi rakamonana nenzvimbo inotarisa,

kana chinhu chiri pakati penzvimbo inotarisisa nepakati pekukombama, saka kuumbwa kwemufananidzo hakugone kudhirowa uchishandisa nzira nhatu sezviri pamufananidzo. Panogona kungova nenzira mbiri chete dzekudhirowa kuumbwa kwemufananidzo. Ndapota tarisai muenzaniso wekuumbwa kwemufananidzo negirazi rakatenderedza, uko daro rechinhu kubva pamagirazi akatenderedza rakasiyana, maererano nekuumbwa kwemufananidzo negirazi rakatenderedza.