Ihe atụ nke ajụjụ etiti ike ndọda

Ihe atụ iri nke ajụjụ ndị metụtara ike ndọda

1. Nhazi Ebe ndọda siri ike dị ihe gbasara isi ihe 0 bụ…
Mkparịta ụka
A maara :
Mpaghara ihe (A) = (8)(4) = 32
Isi etiti na axis-x (x) = ½ (8) = 4
Isi etiti na y axis (y)= ½ (4) = 2
A jụrụ : Nhazi nke etiti ike ndọda nke ihe ahụ ma e jiri ya tụnyere isi ihe 0
Jawab :
2. Ebe etiti ike ndọda nke ihe isi ihe 0 bụ…
Mkparịta ụka
Nke mbụ, gbakọọ ịdị elu nke ihe ahụ. Kewaa ihe ahụ n'ime triangle abụọ nwere akụkụ aka nri, ebe triangle ọ bụla nwere akụkụ aka nri nwere ntọala nke 4 cm na hypotenuse nke 5 cm.
A maara :
Mpaghara ihe (A) = ½ (ntọala)(elu) = ½ (8)(3) = (4)(3) = 12
Isi etiti na axis-x (x) = ½ (8) = 4
Isi etiti na y-axis (y) = 1/3 (3) = 1
A jụrụ : Nhazi nke etiti ike ndọda nke ihe ahụ ma e jiri ya tụnyere isi ihe 0
Jawab :
Nhazi nke etiti ike ndọda nke ihe ahụ bụ (4, 1) cm.

3. Lee foto dị n'okpuru! Chọpụta (a) ebe etiti ike ndọda ihe ahụ dị ma e jiri ya tụnyere ebe P (b) ebe etiti ike ndọda ihe ahụ dị ma e jiri ya tụnyere akụkụ PQ.
Mkparịta ụka
A maara :
Kewaa ihe ahụ ụzọ abụọ, akụkụ nke mbụ = akụkụ anọ, akụkụ nke abụọ = akụkụ anọ.
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
A jụrụ : Nhazi nke etiti ike ndọda ma e jiri ya tụnyere akụkụ PQ
Jawab :
(a) Ebe etiti ike ndọda ihe ahụ dị ma e jiri ya tụnyere isi ihe P bụ (3; 1,5) cm.
(b) Ọnọdụ nke etiti ike ndọda nke ihe ahụ ma e jiri ya tụnyere akụkụ PQ bụ 1,5 cm

4. Ajụjụ nke 2015/2016 SMA/MA Fizik Mba nke 10

Lee foto a!

Nhazi nke etiti ike ndọda nke ụgbọelu dị ka H bụ...

A. (3; 4)

B. (3,5; 2,5)

C. (3,5; 4)

D. (4; 3)

E. (4; 4)

Mkparịta ụka

Kewaa ihe ahụ ụzọ atọ.

Mpaghara nkebi nke 1 (A)₁) = (2)(6) = 12 cm²

Ọdụ etiti nke ngalaba 1 na axis-x (x₁) = 1/2 (2) = 1 cm

Ọkara etiti nke ngalaba 1 na y-axis (y)₁) = 1/2 (6) = 3 cm

Mpaghara nkebi nke 2 (A)₂) = (4)(2) = 8 cm²

Ọdụ etiti nke ngalaba 2 na axis-x (x₂) = 2 + (1/2)(4) = 2 + 2 = 4 cm

Ọkara etiti nke ngalaba 2 na y-axis (y)₂) = 2 + (1/2)(2) = 2 + 1 = 3 cm

Mpaghara nkebi nke 3 (A)₃) = (2)(6) = 12

Ọdụ etiti nke ngalaba 3 na axis-x (x₃) = 2 + 4 + (1/2)(2) = 2 + 4 + 1 = 7 cm

Ọkara etiti nke ngalaba 3 na y-axis (y)₃) = 1/2 (6) = 3 cm

Nchịkọta nke etiti ike ndọda nke ihe ahụ na axis-x:

Nchịkọta nke etiti ike ndọda nke ihe ahụ na axis y:

Nhazi nke etiti ike ndọda nke ụgbọelu dị ka H bụ (x, y) = (4, 3)

Azịza ziri ezi bụ D.

5. Ajụjụ nke 2014/2015 SMA/MA Fizik Mba nke 6

Lee mpaghara yiri ya na nha dịka egosiri na foto a!

Ọnọdụ etiti ndọda nke ọdịdị dị n'elu ma e jiri ya tụnyere x-axis bụ….

A. 2,0 cm

B. 2,5 cm

C.3,0 cm

D. 3,5 cm

E. 4,0 cm

Mkparịta ụka

Kewaa ihe ahụ n'ime akụkụ anọ, ya bụ A, B, C na D.

Gbakọọ mpaghara nke ngalaba ọ bụla.

A_A = ½ (ntọala)(elu) = ½ (1,5)(3) = (1,5)(1,5) = 2,25

A_B = (ogologo)(obosara) = (4,5-1,5)(1) = (3)(1) = 3

A_C = ½ (ntọala)(elu) = ½ (6-4,5)(3) = (1,5)(1,5) = 2,25

A_D = ½ (ntọala)(elu) = 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

Nchịkọta nke etiti ike ndọda nke ihe ahụ na axis y:

Ọnọdụ etiti ndọda nke ọdịdị ahụ ma e jiri ya tụnyere x-axis bụ 2 cm.

Azịza ziri ezi bụ A.

6. Ajụjụ nke 2014/2015 SMA/MA Physics National Examination Nke 6

Lee foto a!

Nhazi nke etiti ike ndọda nke onyonyo mpaghara a bụ….

Mkparịta ụka

Kewaa ihe ahụ n'ime akụkụ anọ, ya bụ A, B, C na D.

Gbakọọ mpaghara nke ngalaba ọ bụla.

A_A = (ogologo)(obosara) = (4)(3) = 12

A_B = ½ (ntọala)(elu) = ½ (6-4)(3) = ½ (2)(3) = (1)(3) = 3

A_C = ½ (ntọala)(elu) = ½ (8-6)(3) = ½ (2)(3) = (1)(3) = 3

A_D = (ogologo)(obosara) = (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

Nchịkọta nke etiti ike ndọda nke ihe ahụ na axis-x:

Nchịkọta nke etiti ike ndọda nke ihe ahụ na axis y:

Azịza ziri ezi bụ B.

7. Nhazi nke etiti ike ndọda nke ihe yiri ibe ya dị na foto dị n'okpuru bụ...
A. (14, 15)
B. (17, 11)
C. (15, 11)
D. (15, 7)
E. (11, 7)

Mkparịta ụka:
Kewaa ihe ahụ ụzọ atọ, nke ọ bụla nwere mpaghara (10-0)x(10-0), (20-10)x(30-0), (30-20)x(10-0)
Nchịkọta nke etiti ike ndọda nke ihe ahụ n'ihe gbasara axis-x:

x₁ = anya nke etiti mpaghara 1 site na isi 0, x₂ = anya nke etiti mpaghara 2 site na isi 0, x₃ = anya nke etiti mpaghara 3 site na isi 0.
Nchịkọta nke etiti ike ndọda nke ihe ahụ n'ihe gbasara axis y:

y₁ = anya nke etiti mpaghara 1 site na isi 0, y₂ = anya nke etiti mpaghara 2 site na isi 0, y₃ = anya nke etiti mpaghara 3 site na isi 0.

Nhazi nke etiti ike ndọda nke ihe ahụ bụ (15, 11)
Azịza ziri ezi bụ C.

8. Nhazi nke etiti ike ndọda nke ihe dị na foto dị n'okpuru bụ...
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
Mkparịta ụka:

Kewaa ihe ahụ n'ime akụkụ abụọ, nke ọ bụla nwere mpaghara nke (5-1) x(3-0), ½ (6-0) x(9-3)
Nchịkọta nke etiti ike ndọda nke ihe ahụ n'ihe gbasara axis-x:

Nchịkọta nke etiti ike ndọda nke ihe ahụ n'ihe gbasara axis y:

Nhazi nke etiti ike ndọda nke ihe ahụ bụ (3; 3,6)
Azịza ziri ezi bụ B.

9. Nhazi nke etiti ndọda nke ihe yiri ibe ya ma e jiri ya tụnyere isi ihe O dị na foto a bụ...

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)

Mkparịta ụka
Kewaa ihe ahụ ụzọ atọ, akụkụ nke mbụ = akụkụ anọ, akụkụ nke abụọ = akụkụ anọ, akụkụ nke atọ = akụkụ anọ.

Mpaghara nkebi nke 1 (A)₁) = (2-0)(8-0) = (2)(8) = 16
Ọdụ etiti nke ngalaba 1 na axis-x (x₁) = 1
Ọkara etiti nke ngalaba 1 na y-axis (y)₁) = 4

Mpaghara nkebi nke 2 (A)₂) = (4-2)(2-0) = (2)(2) = 4
Ọdụ etiti nke ngalaba 2 na axis-x (x₂) = 3
Ọkara etiti nke ngalaba 2 na y-axis (y)₂) = 1

Mpaghara nkebi nke 3 (A)₃) = (6-4)(8-0) = (2)(8) = 16
Ọdụ etiti nke ngalaba 3 na axis-x (x₃) = 5
Ọkara etiti nke ngalaba 3 na y-axis (y)₃) = 4

Nchịkọta nke etiti ike ndọda nke ihe ahụ na axis-x:
Nchịkọta nke etiti ike ndọda nke ihe ahụ na axis y:
Nhazi nke etiti ike ndọda nke ihe ahụ n'ihe gbasara isi O bụ (x, y) = (3, 3 2/3)
Azịza ziri ezi bụ E.

10. Nhazi nke etiti ike ndọda nke ihe osise ụgbọelu dị n'okpuru bụ….

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

Mkparịta ụka
Kewaa ihe ahụ ụzọ atọ, akụkụ nke mbụ = akụkụ anọ, akụkụ nke abụọ = akụkụ anọ, akụkụ nke atọ = akụkụ anọ.

Mpaghara nkebi nke 1 (A)₁) = (1-0)(3-0) = (1)(3) = 3
Ọdụ etiti nke ngalaba 1 na axis-x (x₁) = 0,5
Ọkara etiti nke ngalaba 1 na y-axis (y)₁) = 1,5

Mpaghara nkebi nke 2 (A)₂) = (3-1)(2-1) = (2)(1) = 2
Ọdụ etiti nke ngalaba 2 na axis-x (x₂) = 2
Ọkara etiti nke ngalaba 2 na y-axis (y)₂) = 1,5

Mpaghara nkebi nke 3 (A)₃) = (4-3)(3-0) = (1)(3) = 3
Ọdụ etiti nke ngalaba 3 na axis-x (x₃) = 3,5
Ọkara etiti nke ngalaba 3 na y-axis (y)₃) = 1,5

Nchịkọta nke etiti ike ndọda nke ihe ahụ na axis-x:
Nchịkọta nke etiti ike ndọda nke ihe ahụ na axis y:

Nhazi nke etiti ike ndọda ihe ahụ bụ (x, y) = (2, 1 1/2)
Azịza ziri ezi bụ C.

Isi mmalite ajụjụ:

Ajụjụ gbasara Fiziksi nke Ule Mba maka Ụlọ Akwụkwọ Sekọndrị/Ụlọ Akwụkwọ Sekọndrị Ọrụ