Tsarin ruwan tabarau mai lanƙwasa

Kafin yin nazarin dabarar ruwan tabarau mai lanƙwasa, fahimci ƙa'idodin alamar ruwan tabarau mai lanƙwasa na gaba da farko.

Dokokin Alamar Ruwan tabarau Masu Lanƙwasa
- Nisa (s) na abu
Idan aka wuce wani abu ta cikinsa, hasken zai shigo. Nisa tsakanin abu da abu an yi masa alama mai kyau.
- Nisa tsakanin hotuna (s)
Idan haske ya ratsa ta cikin inuwar to Nisa tsakanin inuwa da inuwa an yi masa alama mai kyau (hoto na gaske). Idan hoton bai wuce ta hanyar hasken haske ba to Nisa tsakanin inuwa da inuwa Alamar korau (hoton kama-da-wane).
- Tsawon maƙasudi (f)
Idan aka wuce wurin da ruwan tabarau ke haskakawa ta cikin hasken rana, to, tsawon mai da hankali Ruwan tabarau yana da alamar tabbatacce. Akasin haka, idan hasken bai wuce wurin da ruwan tabarau ke haskakawa ba, to, to tsawon mai da hankali Ruwan tabarau an yi masa alama ta konewa. Hasken haske yana wucewa ta wurin hasken da ke kewaye da ruwan tabarau, saboda haka, hasken yana wucewa ta wurinsa. tsawon mai da hankali Ruwan tabarau mai siffar convex yana da kyau.
- Tsawon abu (h)
Idan abin yana sama da axis na ruwan tabarau mai lanƙwasa to tsayin abin Alamar tabbatacce (abu a tsaye). Akasin haka, idan abin yana ƙasa da madaurin ruwan tabarau mai lanƙwasa to tsayin abin Alamar korau (abin da aka juya).
- Tsawon inuwar (h')
Idan hoton yana sama da axis na ruwan tabarau mai convex to tsayin inuwar Alamar tabbatacce (hoto a tsaye). Idan hoton yana ƙasa da madaurin ruwan tabarau mai lanƙwasa to tsayin inuwar Alamar korau (hoton da aka juya).
- Girman hoto (m)
Idan girman hoton ya fi girma fiye da girman abu. Idan girman hoton ya fi girma = 1 to girman hoton yayi daidai da girman abu. Idan girman hoton ya fi girma < 1 to girman hoton ya fi girma fiye da girman abu.
 
Tsarin Ruwan tabarau Mai Juyawa
Duba hoton da ke ƙasa. Akwai haske guda biyu da aka nuna suna tafiya zuwa ga ruwan tabarau mai siffar convex, sannan hasken ya juya ta hanyar ruwan tabarau mai siffar convex.

Taken rubutu:
s = nisan abu, s' = nisan hoto, h = P P' = tsayin abu, h' = Q Q' = tsayin hoto, F₁ da kuma F₂ = wurin mayar da hankali na ruwan tabarau mai lanƙwasa.

A cikin hasken P'AQ', alwatika P'AP yayi kama da alwatika Q'AQ. Saboda haka:

A cikin hasken P'BF₂Q', alwatika BF₂A = Q'F₂Q inda nisan AB = tsayin abu (h) da nisan F₂A = tsawon mai da hankali (f) na ruwan tabarau mai lanƙwasa. Saboda haka:

Gefen hagu da dama na lissafi 1 da 2 daidai suke, saboda haka gefunan dama suna daidaitacce:

A ninka ɓangarorin biyu na lissafin da s':

Bayanin dabara:
s = nisan abu (tabbatacce idan abin ya wuce ta hanyar hasken da ya faru)
s' = nisan inuwa (tabbatacce idan inuwar ta wuce ta cikin hasken haske ko kuma inuwar gaskiya ce)
f = tsawon mai da hankali (tabbatacce idan hasken ya ratsa ta wurin mai da hankali na ruwan tabarau mai lanƙwasa)
Kullum ku tuna da ƙa'idar alamar ruwan tabarau mai siffar convex lokacin amfani da wannan dabarar don magance matsalolin ruwan tabarau mai siffar convex.

Girman Hoto (m)
Ka lura da hoton samuwar inuwar abin a sama. Alwatika PAP' da QAQ' iri ɗaya ne, don haka za mu iya gano alaƙar da ke tsakanin nisan abu da nisan inuwa tare da tsayin abu da tsayin inuwa:

Za a iya sake rubuta dabarar da ke sama kamar haka a ƙasa ta hanyar ƙara alamar m:

Bayani:
m = girman hoton
h = tsayin abu (tabbatacce idan abu yana sama da babban ginshiƙin ruwan tabarau mai lanƙwasa ko abu mai miƙewa)
h' = tsayin hoton (mara kyau idan hoton yana ƙasa da babban ginshiƙin ruwan tabarau mai lanƙwasa ko kuma an juya hoton)
s = nisan abu (tabbatacce idan an wuce abin hasken da ke shigowa)
s' = nisan hoto (tabbatacce idan an wuce hoton hasken wuta ko ainihin hoto)
 
Misalan Tambayoyi game da Ruwan tabarau Mai Juyawa
Pelajari misali na tambayoyi na ruwan tabarau masu convex domin ku fahimci yadda ake amfani da dabarar ruwan tabarau mai siffar convex.

Tambayoyin Aikin Ruwan Lens Mai Juyawa
Yi shi Tambayoyin aikin gilashin convex domin ku zama ƙwararru wajen magance matsalolin ruwan tabarau masu lanƙwasa.