Misali na tambayoyin cibiyar nauyi

Misalai 10 na Tambayoyin Cibiyar Nauyi

1. Daidaito Cibiyar nauyi abu dangane da batu na 0 shine…
Tattaunawa
An sani :
Yankin abu (A) = (8)(4) = 32
Tsakiyar maki akan axis ɗin x (x) = ½ (8) = 4
Tsakiyar maki a kan axis y (y) = ½ (4) = 2
An tambaya : Daidaito na tsakiyar nauyi na abu dangane da maki 0
Jawab :
2. Wuri tsakiyar nauyi na abu zuwa ga aya ta 0 shine…
Tattaunawa
Da farko, a ƙididdige tsayin abin. A raba abin zuwa alwatika biyu masu kusurwar dama, inda kowanne alwatika mai kusurwar dama yana da tushe na santimita 4 da kuma hypotenuse na santimita 5.
An sani :
Yankin abu (A) = ½ (tushe) (tsawo) = ½ (8)(3) = (4)(3) = 12
Tsakiyar maki akan axis ɗin x (x) = ½ (8) = 4
Matsakaicin matsayi a kan axis na y (y) = 1/3 (3) = 1
An tambaya : Daidaito na tsakiyar nauyi na abu dangane da maki 0
Jawab :
Daidaito na tsakiyar nauyi na abu shine (4, 1) cm.

3. Duba hoton da ke ƙasa! Ka tantance (a) wurin da cibiyar nauyi ta abu take dangane da wurin P (b) wurin da cibiyar nauyi ta abu take dangane da gefen PQ.
Tattaunawa
An sani :
Raba abin zuwa sassa biyu, kashi na 1 = murabba'i, kashi na 2 = murabba'i.
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
An tambaya : Daidaito na tsakiyar nauyi dangane da PQ na gefe
Jawab :
(a) Wurin da tsakiyar nauyi na abu yake idan aka kwatanta da wurin P shine (3; 1,5) cm.
(b) Matsayin tsakiyar nauyi na abu dangane da PQ na gefe shine 1,5 cm

4. Tambayar Jarrabawar Ƙasa ta SMA/MA Physics ta 2015/2016 Lamba ta 10

Kalli hoton da ke ƙasa!

Daidaito na tsakiyar nauyi na jirgin sama mai siffar H sune...

A. (3; 4)

B. (3,5; 2,5)

C. (3,5; 4)

D. (4; 3)

E. (4; 4)

Tattaunawa

Raba abin zuwa sassa uku.

Yankin sashe na 1 (A)₁) = (2)(6) = 12 cm²

Tsakiyar sashe na 1 akan axis ɗin x (x)₁) = 1/2 (2) = 1 cm

Tsakiyar sashe na 1 akan axis na y (y)₁) = 1/2 (6) = 3 cm

Yankin sashe na 2 (A)₂) = (4)(2) = 8 cm²

Tsakiyar sashe na 2 akan axis ɗin x (x)₂) = 2 + (1/2)(4) = 2 + 2 = 4 cm

Tsakiyar sashe na 2 akan axis na y (y)₂) = 2 + (1/2)(2) = 2 + 1 = 3 cm

Yankin sashe na 3 (A)₃) = (2)(6) = 12

Tsakiyar sashe na 3 akan axis ɗin x (x)₃) = 2 + 4 + (1/2)(2) = 2 + 4 + 1 = 7 cm

Tsakiyar sashe na 3 akan axis na y (y)₃) = 1/2 (6) = 3 cm

Daidaito na tsakiyar nauyi na abu akan axis-x:

Daidaito na tsakiyar nauyi na abu a kan axis-y:

Daidaito na tsakiyar nauyi na jirgin sama mai siffar H sune (x, y) = (4, 3)

Amsar da ta dace ita ce D.

5. Tambayar Jarrabawar Ƙasa ta SMA/MA Physics ta 2014/2015 Lamba ta 6

Ka lura da yankin da ya yi kama da juna tare da girma kamar yadda aka nuna a hoton!

Matsayin tsakiyar nauyi na siffar da ke sama idan aka kwatanta da axis ɗin x shine….

A. 2,0 cm

B. 2,5 cm

C. 3,0 cm

D. 3,5 cm

E. 4,0 cm

Tattaunawa

Raba abu zuwa sassa 4, wato A, B, C da D.

Lissafa yankin kowane sashe.

A_A = ½ (tushe)(tsawo) = ½ (1,5)(3) = (1,5)(1,5) = 2,25

A_B = (tsawo)(faɗi) = (4,5-1,5)(1) = (3)(1) = 3

A_C = ½ (tushe)(tsawo) = ½ (6-4,5)(3) = (1,5)(1,5) = 2,25

A_D = ½ (tushe)(tsawo) = 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

Daidaito na tsakiyar nauyi na abu a kan axis-y:

Matsayin tsakiyar nauyin siffar idan aka kwatanta da axis ɗin x shine 2 cm.

Amsar da ta dace ita ce A.

6. 2014/2015 Jarrabawar Ƙasa ta SMA/MA Physics Tambaya Mai Lamba 6

Kalli hoton!

Daidaito na tsakiyar nauyi na hoton yanki mai zuwa sune….

Tattaunawa

Raba abu zuwa sassa 4, wato A, B, C da D.

Lissafa yankin kowane sashe.

A_A = (tsawo)(faɗi) = (4)(3) = 12

A_B = ½ (tushe)(tsawo) = ½ (6-4)(3) = ½ (2)(3) = (1)(3) = 3

A_C = ½ (tushe)(tsawo) = ½ (8-6)(3) = ½ (2)(3) = (1)(3) = 3

A_D = (tsawo)(faɗi) = (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

Daidaito na tsakiyar nauyi na abu akan axis-x:

Daidaito na tsakiyar nauyi na abu a kan axis-y:

Amsar da ta dace ita ce B.

7. Daidaito na tsakiyar nauyi na abu mai kama da juna a cikin hoton da ke ƙasa sune...
A. (14, 15)
B. (17, 11)
C. (15, 11)
D. (15, 7)
E. (11, 7)

Tattaunawa:
Raba abin zuwa sassa uku, kowanne yana da yankuna (10-0)x(10-0), (20-10)x(30-0), (30-20)x(10-0)
Daidaito na tsakiyar nauyi na abu dangane da axis na x:

x₁ = nisan tsakiyar yanki na 1 daga aya ta 0, x₂ = nisan tsakiyar yanki na 2 daga aya ta 0, x₃ = nisan tsakiyar yanki na 3 daga aya ta 0.
Daidaito na tsakiyar nauyi na abu dangane da axis-y:

y₁ = nisan tsakiyar yanki na 1 daga aya ta 0, y₂ = nisan tsakiyar yanki na 2 daga aya ta 0, y₃ = nisan tsakiyar yanki na 3 daga aya ta 0.

Daidaito na tsakiyar nauyi na abu shine (15, 11)
Amsar da ta dace ita ce C.

8. Daidaito na tsakiyar nauyi na abu a cikin hoton da ke ƙasa sune...
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
Tattaunawa:

Raba abin zuwa sassa biyu, kowanne yana da yankin (5-1)x(3-0), ½ (6-0)x(9-3)
Daidaito na tsakiyar nauyi na abu dangane da axis na x:

Daidaito na tsakiyar nauyi na abu dangane da axis-y:

Daidaito na tsakiyar nauyi na abu shine (3; 3,6)
Amsar da ta dace ita ce B.

9. Daidaito na tsakiyar nauyi na wani abu mai kama da juna dangane da wurin O a cikin hoton da ke ƙasa sune...

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)

Tattaunawa
Raba abin zuwa sassa uku, kashi na 1 = murabba'i, kashi na 2 = murabba'i, kashi na 3 = murabba'i.

Yankin sashe na 1 (A)₁) = (2-0)(8-0) = (2)(8) = 16
Tsakiyar sashe na 1 akan axis ɗin x (x)₁) = 1
Tsakiyar sashe na 1 akan axis na y (y)₁) = 4

Yankin sashe na 2 (A)₂) = (4-2)(2-0) = (2)(2) = 4
Tsakiyar sashe na 2 akan axis ɗin x (x)₂) = 3
Tsakiyar sashe na 2 akan axis na y (y)₂) = 1

Yankin sashe na 3 (A)₃) = (6-4)(8-0) = (2)(8) = 16
Tsakiyar sashe na 3 akan axis ɗin x (x)₃) = 5
Tsakiyar sashe na 3 akan axis na y (y)₃) = 4

Daidaito na tsakiyar nauyi na abu akan axis-x:
Daidaito na tsakiyar nauyi na abu a kan axis-y:
Daidaito na tsakiyar nauyi na abu dangane da batu O sune (x, y) = (3, 3 2/3)
Amsar da ta dace ita ce E.

10. Daidaito na tsakiyar nauyi na siffar jirgin sama da ke ƙasa sune….

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

Tattaunawa
Raba abin zuwa sassa uku, kashi na 1 = murabba'i, kashi na 2 = murabba'i, kashi na 3 = murabba'i.

Yankin sashe na 1 (A)₁) = (1-0)(3-0) = (1)(3) = 3
Tsakiyar sashe na 1 akan axis ɗin x (x)₁) = 0,5
Tsakiyar sashe na 1 akan axis na y (y)₁) = 1,5

Yankin sashe na 2 (A)₂) = (3-1)(2-1) = (2)(1) = 2
Tsakiyar sashe na 2 akan axis ɗin x (x)₂) = 2
Tsakiyar sashe na 2 akan axis na y (y)₂) = 1,5

Yankin sashe na 3 (A)₃) = (4-3)(3-0) = (1)(3) = 3
Tsakiyar sashe na 3 akan axis ɗin x (x)₃) = 3,5
Tsakiyar sashe na 3 akan axis na y (y)₃) = 1,5

Daidaito na tsakiyar nauyi na abu akan axis-x:
Daidaito na tsakiyar nauyi na abu a kan axis-y:

Daidaito na cibiyar nauyi na abu shine (x, y) = (2, 1 1/2)
Amsar da ta dace ita ce C.

Tushen tambaya:

Tambayoyin Nazarin Fizik na Ƙasa ga Makarantar Sakandare ta Babbar Sakandare/Makarantar Sakandare ta Sana'a