Tusaale su'aalaha bartamaha cufisjiidadka

10 Tusaalooyin oo ku saabsan Su'aalaha Xarunta Cufis-jiidadka

1. Isku-duwayaasha Xarunta cufisjiidadka Shayga marka loo eego qodobka 0 waa…
Dood
Waa la garanayaa :
Bedka walaxda (A) = (8)(4) = 32
Barta dhexe ee dhidibka x (x) = ½ (8) = 4
Barta dhexe ee dhidibka y (y) = ½ (4) = 2
La weydiiyay : Isku-duwayaasha xarunta cufisjiidadka shayga marka loo eego barta 0
Jawab :
2. Goobta xarunta cufisjiidadka shay ilaa dhibicda 0 waa…
Dood
Marka hore, xisaabi dhererka shayga. Shayga u qaybi laba saddexagal oo xagal midig leh, halkaas oo saddexagal kasta oo xagal midig leh uu leeyahay saldhig 4 cm ah iyo halbeeg 5 cm ah.
Waa la garanayaa :
Bedka walaxda (A) = ½ (sal) (dherer) = ½ (8)(3) = (4)(3) = 12
Barta dhexe ee dhidibka x (x) = ½ (8) = 4
Barta dhexe ee dhidibka y (y) = 1/3 (3) = 1
La weydiiyay : Isku-duwayaasha xarunta cufisjiidadka shayga marka loo eego barta 0
Jawab :
Isku-duwayaasha xarunta cufisjiidadka ee shayga waa (4, 1) cm.

3. Fiiri sawirka hoose! Go'aami (a) goobta xarunta cufisjiidadka shayga marka loo eego barta P (b) goobta xarunta cufisjiidadka shayga marka loo eego dhinaca PQ.
Dood
Waa la garanayaa :
Shayga u qaybi laba qaybood, qaybta 1aad = leydi, qaybta 2aad = labajibbaaran.
A₁ = (6)(2) = 12
A₂ = (2)(2) = 4
x₁ = ½ (6) = 3
x₂ = ½ (2) + 2 = 1 + 2 = 3
y₁ = ½ (2) = 1
y₂ = ½ (2) + 2 = 1 + 2 = 3
La weydiiyay : Isku-duwayaasha xarunta cufisjiidadka marka loo eego dhinaca PQ
Jawab :
(a) Goobta xarunta cufisjiidadka shayga marka loo eego barta P waa (3; 1,5) cm.
(b) Booska bartamaha cufisjiidadka shayga marka loo eego dhinaca PQ waa 1,5 cm

4. Imtixaanka Qaranka ee Fiisigiska SMA/MA 2015/2016 Su'aal Lambarka 10

Fiiri sawirka soo socda!

Isku-duwayaasha xarunta cufisjiidadka ee diyaaradda qaab-H ah waa...

A. (3; 4)

B. (3,5; 2,5)

C. (3,5; 4)

D. (4; 3)

E. (4; 4)

Dood

Shayga u qaybi saddex qaybood.

Bedka qaybta 1 (A ₁ ) = (2)(6) = 12 cm ²

Barta dhexe ee qaybta 1aad ee dhidibka x (x ₁ ) = 1/2 (2) = 1 cm

Barta dhexe ee qaybta 1aad ee dhidibka y (y ₁ ) = 1/2 (6) = 3 cm

Bedka qaybta 2 (A ₂ ) = (4)(2) = 8 cm ²

Barta dhexe ee qaybta 2aad ee dhidibka x (x ₂ ) = 2 + (1/2)(4) = 2 + 2 = 4 cm

Barta dhexe ee qaybta 2 ee dhidibka y (y ₂ ) = 2 + (1/2)(2) = 2 + 1 = 3 cm

Bedka qaybta 3 (A ₃ ) = (2)(6) = 12

Barta dhexe ee qaybta 3aad ee dhidibka x (x ₃ ) = 2 + 4 + (1/2)(2) = 2 + 4 + 1 = 7 cm

Barta dhexe ee qaybta 3aad ee dhidibka y (y ₃ ) = 1/2 (6) = 3 cm

Isku-duwayaasha xarunta cufisjiidadka ee shayga ee ku yaal dhidibka x:

Isku-duwayaasha bartamaha cufisjiidadka shayga ee ku yaal dhidibka y:

Isku-duwayaasha xarunta cufisjiidadka ee diyaaradda qaabaysan ee H waa (x, y) = (4, 3)

Jawaabta saxda ah waa D.

5. Imtixaanka Qaranka ee Fiisigiska SMA/MA 2014/2015 Su'aal Lambarka 6

Fiiri aagga isku midka ah oo leh cabbirro sida sawirka ku cad!

Booska bartamaha cufisjiidadka ee qaabka kore marka loo eego dhidibka x waa….

A. 2,0 cm

B. 2,5 cm

C. 3,0 cm

D. 3,5 cm

E. 4,0 cm

Dood

Shayga u qaybi 4 qaybood, kuwaas oo kala ah A, B, C iyo D.

Xisaabi bedka qayb kasta.

A _A = ½ (saldhig)(dherer) = ½ (1,5)(3) = (1,5)(1,5) = 2,25

A _B = (dherer)(ballac) = (4,5-1,5)(1) = (3)(1) = 3

A _C = ½ (saldhig) (dherer) = ½ (6-4,5)(3) = (1,5)(1,5) = 2,25

A _D = ½ (saldhig)(dherer) = ½ (4,5-1,5)(6-3) = ½ (3)(3) = (1,5)(3) = 4,5

y _A = 1/3 (3) = 1

y _B = 1/2 (1) = 0,5

y _C = 1/3 (3) = 1

y _D = 3 + (1/3)(6-3) = 3 + (1/3)(3) = 3 + 1 = 4

Isku-duwayaasha bartamaha cufisjiidadka shayga ee ku yaal dhidibka y:

Booska bartamaha cufisjiidadka ee qaabka marka loo eego dhidibka x waa 2 cm.

Jawaabta saxda ah waa A.

6. Imtixaanka Qaranka ee Fiisigiska SMA/MA 2014/2015 Su'aal Lambarka 6

Sawirka fiiri!

Isku-duwayaasha bartamaha cufisjiidadka ee sawirka aagga soo socda waa….

Dood

Shayga u qaybi 4 qaybood, kuwaas oo kala ah A, B, C iyo D.

Xisaabi bedka qayb kasta.

A_A = (dherer)(ballac) = (4)(3) = 12

A _B = ½ (saldhig)(dherer) = ½ (6-4)(3) = ½ (2)(3) = (1)(3) = 3

A _C = ½ (saldhig)(dherer) = ½ (8-6)(3) = ½ (2)(3) = (1)(3) = 3

A _D = (dherer)(ballac) = (8)(6-3) = (8)(3) = 24

y _A = 1/2 (3) = 1,5

y _B = 3 – (1/3)(3) = 3 – 1 = 2

y _C = 3 – (1/3)(3) = 3 – 1 = 2

y _D = 3 + (1/2)(6-3) = 3 + (1/2)(3) = 3 + 1,5 = 4,5

x _A = 1/2 (4) = 2

x _B = 4 + (1/2)(6-4) = 4 + (1/2)(2) = 4 + 1 = 5

x _C = 6 + (1/2)(8-6) = 6 + (1/2)(2) = 6 + 1 = 7

x _D = 1/2 (8) = 4

Isku-duwayaasha xarunta cufisjiidadka ee shayga ee ku yaal dhidibka x:

Isku-duwayaasha bartamaha cufisjiidadka shayga ee ku yaal dhidibka y:

Jawaabta saxda ah waa B.

7. Isku-duwayaasha xarunta cufisjiidadka ee shayga isku midka ah ee sawirka hoose ku yaal waa...
A. (14, 15)
B. (17, 11)
C. (15, 11)
D. (15, 7)
E. (11, 7)

Dood:
Shayga u qaybi saddex qaybood, mid walbana wuxuu leeyahay meelo (10-0)x(10-0), (20-10)x(30-0), (30-20)x(10-0)
Isku-duwayaasha xarunta cufisjiidadka ee shayga marka loo eego dhidibka x:

x₁ = masaafada bartamaha aagga 1 laga bilaabo barta 0, x₂ = masaafada bartamaha aagga 2 laga bilaabo barta 0, x₃ = masaafada bartamaha aagga 3 laga bilaabo barta 0.
Isku-duwayaasha bartamaha cufisjiidadka shayga marka loo eego dhidibka y:

y₁ = masaafada bartamaha aagga 1 laga bilaabo barta 0, y₂ = masaafada bartamaha aagga 2 laga bilaabo barta 0, y₃ = masaafada bartamaha aagga 3 laga bilaabo barta 0.

Isku-duwayaasha xarunta cufisjiidadka ee shayga waa (15, 11)
Jawaabta saxda ah waa C.

8. Isku-duwayaasha xarunta cufisjiidadka ee shayga sawirka hoose ku yaal waa...
A. (3; 2,7) m
B. (3; 3,6) m
C. (3; 4,0) m
D. (3; 4,5) m
E. (3; 5,0) m
Dood:

Shayga u qaybi laba qaybood, mid walbana wuxuu leeyahay bedka (5-1) x (3-0), ½ (6-0) x (9-3)
Isku-duwayaasha xarunta cufisjiidadka ee shayga marka loo eego dhidibka x:

Isku-duwayaasha bartamaha cufisjiidadka shayga marka loo eego dhidibka y:

Isku-duwayaasha xarunta cufisjiidadka ee shayga waa (3; 3,6)
Jawaabta saxda ah waa B.

9. Isku-duwayaasha xarunta cufisjiidadka ee shay isku mid ah marka loo eego barta O ee sawirka soo socda waa...

A. (4 3/5, 3 3/5)
B. (4 1/3, 3 1/3)
C. (4 1/3, 3)
D. (3 1/3, 4 1/3)
E. (3, 3 2/3)

Dood
Shayga u qaybi saddex qaybood, qaybta 1aad = leydi, qaybta 2aad = labajibbaaran, qaybta 3aad = leydi.

Aagga qaybta 1aad (A)₁) = (2-0)(8-0) = (2)(8) = 16
Barta dhexe ee qaybta 1aad ee dhidibka x (x)₁= 1
Barta dhexe ee qaybta 1aad ee dhidibka y (y)₁= 4

Aagga qaybta 2aad (A)₂) = (4-2)(2-0) = (2)(2) = 4
Barta dhexe ee qaybta 2aad ee dhidibka x (x)₂= 3
Barta dhexe ee qaybta 2aad ee dhidibka y (y)₂= 1

Aagga qaybta 3aad (A)₃) = (6-4)(8-0) = (2)(8) = 16
Barta dhexe ee qaybta 3aad ee dhidibka x (x)₃= 5
Barta dhexe ee qaybta 3aad ee dhidibka y (y)₃= 4

Isku-duwayaasha xarunta cufisjiidadka ee shayga ee ku yaal dhidibka x:
Isku-duwayaasha bartamaha cufisjiidadka shayga ee ku yaal dhidibka y:
Isku-duwayaasha xarunta cufisjiidadka ee shayga marka loo eego barta O waa (x, y) = (3, 3 2/3)
Jawaabta saxda ah waa E.

10. Isku-duwayaasha xarunta cufisjiidadka ee sawirka diyaaradda ee hoose waa….

A. (1 1/2, 1 1/2) cm
B. (2.1/2) cm
C. (2, 1 1/2) cm
D. (2 1/2, 1 1/2) cm
E. (2 1/2, 2 1/2) cm

Dood
Shayga u qaybi saddex qaybood, qaybta 1aad = leydi, qaybta 2aad = leydi, qaybta 3aad = leydi.

Aagga qaybta 1aad (A)₁) = (1-0)(3-0) = (1)(3) = 3
Barta dhexe ee qaybta 1aad ee dhidibka x (x)₁= 0,5
Barta dhexe ee qaybta 1aad ee dhidibka y (y)₁= 1,5

Aagga qaybta 2aad (A)₂) = (3-1)(2-1) = (2)(1) = 2
Barta dhexe ee qaybta 2aad ee dhidibka x (x)₂= 2
Barta dhexe ee qaybta 2aad ee dhidibka y (y)₂= 1,5

Aagga qaybta 3aad (A)₃) = (4-3)(3-0) = (1)(3) = 3
Barta dhexe ee qaybta 3aad ee dhidibka x (x)₃= 3,5
Barta dhexe ee qaybta 3aad ee dhidibka y (y)₃= 1,5

Isku-duwayaasha xarunta cufisjiidadka ee shayga ee ku yaal dhidibka x:
Isku-duwayaasha bartamaha cufisjiidadka shayga ee ku yaal dhidibka y:

Isku-duwayaasha xarunta cufisjiidadka shayga waa (x, y) = (2, 1 1/2)
Jawaabta saxda ah waa C.

Isha su'aasha:

Su'aalaha Imtixaanka Qaranka ee Fiisigiska ee Dugsiga Sare/Dugsiga Sare ee Xirfadda