1. Shay dhererkiisu yahay 5-cm ayaa la dhigayaa 5 cm laga bilaabo muraayad isku xiran oo dhererkeedu yahay 15-cm . Go'aami masaafada sawirka , weynaynta sawirka, dhererka sawirka iyo sifooyinka sawirka.
La yaqaan:
Dhererka diiradda (f) = 15 cm
Calaamadda lagu daray waxay muujinaysaa in barta diiradda la saarayo ay tahay mid dhab ah ama fallaaraha ay ka gudbaan barta.
Dhererka shayga (h o ) = 5 cm
Masaafada shayga ( d o ) = 5 cm
La Doonayo : masaafada sawirka , weynaynta sawirka , dhererka sawirka iyo sifooyinka sawirka
Xalka:
Samaynta sawirka iyadoo la isku darayo muraayadda :

Masaafada sawirka ( d i ):
1/ d i = 1/f – 1/ d o = 1/15 – 1/5 = 1/15 – 3/15 = -2/15
d i = -15/2 = -7.5 cm
Calaamadda laga jaray waxay muujinaysaa in sawirku yahay mid casri ah ama fallaaraha aysan dhex marin sawirka.
Weyneynta sawirka ( m ):
m = – d i / d o = -(-7.5)/5 = 7.5/5 = 1.5
Calaamadda dheeraadka ah waxay muujinaysaa in sawirku uu toosan yahay.
Dhererka sawirka (h i ):
m = h i / h o
h i = m h o = (1.5)5 = 10/3 = 7.5 cm
Calaamadda dheeraadka ah waxay muujinaysaa in sawirku uu toosan yahay.
Sifooyinka sawirka
- dalwad
- toosan
– Sawirku wuu ka weyn yahay shayga
– Masaafada sawirku way ka weyn tahay masaafada shayga
2. Shay dhererkiisu yahay 10 -cm ayaa la dhigayaa 30 cm laga bilaabo muraayad isku xiran oo dhererkeedu yahay 15-cm . Go'aami masaafada sawirka, weynaynta sawirka, dhererka sawirka iyo sifooyinka sawirka.
La yaqaan:
Dhererka diiradda (f) = 15 cm
Calaamadda lagu daray waxay muujinaysaa in barta diiradda la saarayo ay tahay mid dhab ah ama fallaaraha ay ka gudbaan barta.
Dhererka shayga (h) = 10 cm
Masaafada shayga (yada) = 30 cm
La Doonayo: Masaafada sawirka, weynaynta sawirka, dhererka sawirka iyo sifooyinka sawirka
Xalka:
Samaynta sawirka iyadoo la adeegsanayo muraayadda isku soo ururaysa:

Masaafada sawirka ( d i ):
1/ d i = 1/f – 1/ d o = 1/15 – 1/30 = 2/30 – 1/30 = 1/30
d i = 30/1 = 30 cm
Calaamadda dheeraadka ah waxay muujinaysaa in sawirku yahay mid dhab ah ama fallaaraha ayaa dhex mara sawirka.
Weyneynta sawirka ( m ):
m = – d i / d o = -(30)/30 = -30/30 = -1
Calaamadda laga jaray waxay muujinaysaa in sawirku rogmanayo.
Dhererka sawirka (h i ):
m = h i / h o
h i = m h o = (-1)10 = -10 cm
Calaamadda laga jaray waxay muujinaysaa in sawirku rogmanayo.
Sifooyinka sawirka
- dhab ah ama fallaaraha ayaa dhex mara sawirka
- rogan
– Dhererka sawirku wuxuu la mid yahay dhererka shayga.
– Masaafada sawirku waxay la mid tahay masaafada shayga.
3. Shay dhererkiisu yahay 10 -cm ayaa la dhigayaa 30 cm laga bilaabo muraayad isku xiran oo dhererkeedu yahay 20-cm . Go'aami masaafada sawirka, weynaynta sawirka, dhererka sawirka iyo sifooyinka sawirka.
La yaqaan:
Dhererka diiradda f) = 20 cm
Calaamadda lagu daray waxay muujinaysaa in barta diiradda la saarayo ay tahay mid dhab ah ama fallaaraha ay ka gudbaan barta.
Dhererka shayga (h) = 10 cm
Masaafada shayga ( d o ) = 30 cm
La Doonayo: Masaafada sawirka , weynaynta sawirka , dhererka sawirka iyo sifooyinka sawirka
Xalka:
Masaafada sawirka ( d i ):
1/ d i = 1/f – 1/ d o = 1/20 – 1/30 = 3/60 – 2/60 = 1/60
d i = 60/1 = 60 cm
Calaamadda dheeraadka ah waxay muujinaysaa in sawirku yahay mid dhab ah ama fallaaraha ayaa dhex mara sawirka.
Weyneynta sawirka ( m ):
m = – d i / d o = -(60)/30 = -2
Calaamadda laga jaray waxay muujinaysaa in sawirku rogmanayo.
Sawirka ayaa 2 jeer ka weyn shayga.
Dhererka sawirka (h i ):
m = h i / h o
h i = m h o = (-2)10 = -20 cm
Calaamadda laga jaray waxay muujinaysaa in sawirku rogmanayo.
Sifooyinka sawirka
- dhab ah
- rogan
- dhererka sawirka ayaa ka weyn dhererka shayga
– masaafada sawirku way ka weyn tahay masaafada shayga
4. Iyada oo ku saleysan sawirka hoose, go'aami dhererka diiradda ee muraayadda isku soo ururtay!
La yaqaan:
Masaafada walxaha ( d o ) = 20 cm
Masaafada sawirka ( d i ) = 30 cm
La Doonayo : Dhererka diiradda (f)
Xalka:
1/ d o + 1/ d i = 1/f
d o = masaafada walaxda ( oo lagu daray calaamad sababtoo ah fallaaraha ayaa dhex mara walaxda )
d i = masaafada sawirka ( oo lagu daray calaamad sababtoo ah fallaaraha ayaa dhex mara sawirka )
f = dhererka diiradda ( oo lagu daray calaamad sababtoo ah fallaaraha ayaa dhex mara barta diiradda ama barta diiradda waa dhab )
Dhererka diiradda la saarayo:
1/f = 1/20 + 1/30 = 3/60 + 2/60 = 5/60
f = 60/5 = 12 cm
5. Masaafada shayga waa 30 cm dhererka diiraddana waa 20 cm. Go'aami weyneynta sawirka.
La yaqaan:
Dhererka diiradda ee muraayadda isku soo ururaysa (f) = 20 cm
Calaamadda dheeraadka ah waxay muujinaysaa in barta diiradda la saarayo ay tahay mid dhab ah ama ay fallaaraha ka dhex maraan sawirka.
Masaafada walxaha ( d o ) = 30 cm
La Doonayo: Weyneynta sawirka (M)
Xalka:
Masaafada sawirka:
1/ d i = 1/f – 1/ do = 1/20 – 1/30 = 3/60 – 2/60 = 1/60
d i = 60/1 = 60 cm
Weyneynta sawirka:
M = d i / d o = 60 cm / 30 cm = 60/30 = 2 jeer
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