Isibonelo semibuzo yesikhungo sokudonsa amandla

Izibonelo eziyi-10 zemibuzo yesikhungo sokudonsa amandla

1. Ama-Coordinates Isikhungo samandla adonsela phansi into maqondana nephuzu 0...
Ingxoxo
I-Diketahui :
Indawo yento (A) = (8)(4) = 32
Iphuzu eliphakathi ku-x-axis (x) = ½ (8) = 4
Iphuzu eliphakathi ku-axis ka-y (y)= ½ (4) = 2
Kubuziwe : Ama-Coordinates enkabeni yamandla adonsela phansi ento maqondana nephuzu 0
Jawab :
2. Indawo isikhungo samandla adonsela phansi sento iphuzu 0 liwukuthi…
Ingxoxo
Okokuqala, bala ukuphakama kwento. Hlukanisa into ibe onxantathu ababili abagobile ngakwesokudla, lapho unxantathu ngamunye ogobile ngakwesokudla unesisekelo esingu-4 cm kanye ne-hypotenuse engu-5 cm.
I-Diketahui :
Indawo yento (A) = ½ (isisekelo) (ukuphakama) = ½ (8) (3) = (4) (3) = 12
Iphuzu eliphakathi ku-x-axis (x) = ½ (8) = 4
Iphuzu eliphakathi ku-y-axis (y)= 1/3 (3) = 1
Kubuziwe : Ama-Coordinates enkabeni yamandla adonsela phansi ento maqondana nephuzu 0
Jawab :
Izixhumanisi zesikhungo sokudonsa phansi kwento ziyi-(4, 1) cm.

3. Bheka isithombe esingezansi! Nquma (a) indawo yesikhungo samandla adonsela phansi sento maqondana nephuzu P (b) indawo yesikhungo samandla adonsela phansi sento maqondana ne-PQ eseceleni.
Ingxoxo
I-Diketahui :
Hlukanisa into ibe izingxenye ezimbili, ingxenye 1 = unxande, ingxenye 2 = isikwele.
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
Kubuziwe : Izixhumanisi zesikhungo sokudonsa phansi uma kuqhathaniswa ne-PQ eseceleni
Jawab :
(a) Indawo yesikhungo samandla adonsela phansi sento uma siqhathaniswa nephuzu P ingu-(3; 1,5) cm.
(b) Indawo yesikhungo sokudonsa phansi kwento uma kuqhathaniswa ne-PQ eseceleni ingu-1,5 cm

4. Umbuzo Wokuhlolwa Kazwelonke We-SMA/MA We-Fiziksi We-2015/2016 No. 10

Bheka isithombe esilandelayo!

Izixhumanisi zesikhungo sokudonsa phansi sendiza enomumo we-H zi...

A. (3; 4)

B. (3,5; 2,5)

C. (3,5; 4)

D. (4; 3)

E. (4; 4)

Ingxoxo

Hlukanisa into ibe izingxenye ezintathu.

Indawo yesigaba 1 (A)₁) = (2)(6) = 12 cm²

Iphuzu eliphakathi lesigaba 1 ku-x-axis (x₁) = 1/2 (2) = 1 cm

Iphuzu eliphakathi lesigaba 1 ku-y-axis (y₁) = 1/2 (6) = 3 cm

Indawo yesigaba 2 (A)₂) = (4)(2) = 8 cm²

Iphuzu eliphakathi lesigaba 2 ku-x-axis (x₂) = 2 + (1/2)(4) = 2 + 2 = 4 cm

Iphuzu eliphakathi lesigaba 2 ku-y-axis (y₂) = 2 + (1/2)(2) = 2 + 1 = 3 cm

Indawo yesigaba 3 (A)₃) = (2)(6) = 12

Iphuzu eliphakathi lesigaba 3 ku-x-axis (x₃) = 2 + 4 + (1/2)(2) = 2 + 4 + 1 = 7 cm

Iphuzu eliphakathi lesigaba 3 ku-y-axis (y₃) = 1/2 (6) = 3 cm

Ama-coordinates esikhungo sokudonsa phansi kwento ku-x-axis:

Ama-coordinates enkabeni yamandla adonsela phansi ento ku-y-axis:

Izixhumanisi zesikhungo sokudonsa phansi kwendiza enomumo we-H ziyi (x, y) = (4, 3)

Impendulo efanele ngu-D.

5. Umbuzo Wokuhlolwa Kazwelonke We-SMA/MA We-Fiziksi We-2014/2015 No. 6

Bheka indawo efanayo ngobukhulu njengoba kuboniswe esithombeni!

Indawo yesikhungo sokudonsa amandla esimo esingenhla uma siqhathaniswa ne-x-axis ithi….

A. 2,0 cm

B. 2,5 cm

C. 3,0 cm

D. 3,5 cm

E. 4,0 cm

Ingxoxo

Hlukanisa into ibe yizingxenye ezine, okungu-A, B, C kanye no-D.

Bala indawo yesigaba ngasinye.

A_A = ½ (isisekelo)(ukuphakama) = ½ (1,5)(3) = (1,5)(1,5) = 2,25

A_B = (ubude)(ububanzi) = (4,5-1,5)(1) = (3)(1) = 3

A_C = ½ (isisekelo)(ukuphakama) = ½ (6-4,5)(3) = (1,5)(1,5) = 2,25

A_D = ½ (isisekelo)(ukuphakama) = 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

Ama-coordinates enkabeni yamandla adonsela phansi ento ku-y-axis:

Indawo yesikhungo sokudonsa amandla esimo uma siqhathaniswa ne-x-axis ingu-2 cm.

Impendulo efanele ngu-A.

6. Umbuzo Wokuhlolwa Kazwelonke We-SMA/MA We-Fiziksi We-2014/2015 Inombolo 6

Bheka isithombe!

Izixhumanisi zesikhungo sokudonsa amandla esithombeni esilandelayo sendawo yilezi….

Ingxoxo

Hlukanisa into ibe yizingxenye ezine, okungu-A, B, C kanye no-D.

Bala indawo yesigaba ngasinye.

A_A = (ubude)(ububanzi) = (4)(3) = 12

A_B = ½ (isisekelo)(ukuphakama) = ½ (6-4)(3) = ½ (2)(3) = (1)(3) = 3

A_C = ½ (isisekelo)(ukuphakama) = ½ (8-6)(3) = ½ (2)(3) = (1)(3) = 3

A_D = (ubude)(ububanzi) = (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

Ama-coordinates esikhungo sokudonsa phansi kwento ku-x-axis:

Ama-coordinates enkabeni yamandla adonsela phansi ento ku-y-axis:

Impendulo efanele ingu-B.

7. Ama-coordinates esikhungo sokudonsa phansi sento efanayo esithombeni esingezansi...
A. (14, 15)
B. (17, 11)
C. (15, 11)
D. (15, 7)
E. (11, 7)

Ingxoxo:
Hlukanisa into ibe izingxenye ezintathu, ngayinye inezindawo (10-0)x(10-0), (20-10)x(30-0), (30-20)x(10-0)
Ama-Coordinates enkabeni yamandla adonsela phansi ento maqondana ne-x-axis:

x₁ = ibanga lesikhungo sendawo 1 kusukela endaweni 0, x₂ = ibanga lesikhungo sendawo 2 kusukela endaweni 0, x₃ = ibanga lesikhungo sendawo 3 kusukela endaweni 0.
Ama-coordinates enkabeni yamandla adonsela phansi ento maqondana ne-y-axis:

y₁ = ibanga lesikhungo sendawo 1 kusukela endaweni 0, y₂ = ibanga lesikhungo sendawo 2 kusukela endaweni 0, y₃ = ibanga lesikhungo sendawo 3 kusukela endaweni 0.

Izixhumanisi zesikhungo sokudonsa phansi kwento yilezi (15, 11)
Impendulo efanele ngu-C.

8. Ama-coordinates esikhungo sokudonsa phansi kwento esithombeni esingezansi...
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
Ingxoxo:

Hlukanisa into ibe izingxenye ezimbili, ngayinye ibe nendawo engu-(5-1)x(3-0), ½ (6-0)x(9-3)
Ama-Coordinates enkabeni yamandla adonsela phansi ento maqondana ne-x-axis:

Ama-coordinates enkabeni yamandla adonsela phansi ento maqondana ne-y-axis:

Izixhumanisi zesikhungo sokudonsa phansi kwento yilezi (3; 3,6)
Impendulo efanele ingu-B.

9. Izixhumanisi zesikhungo sokudonsa phansi sento efanayo uma kuqhathaniswa nephuzu u-O esithombeni esilandelayo...

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)

Ingxoxo
Hlukanisa into ibe izingxenye ezintathu, ingxenye 1 = unxande, ingxenye 2 = isikwele, ingxenye 3 = unxande.

Indawo yesigaba 1 (A)₁) = (2-0)(8-0) = (2)(8) = 16
Iphuzu eliphakathi lesigaba 1 ku-x-axis (x₁= = 1
Iphuzu eliphakathi lesigaba 1 ku-y-axis (y₁= = 4

Indawo yesigaba 2 (A)₂) = (4-2)(2-0) = (2)(2) = 4
Iphuzu eliphakathi lesigaba 2 ku-x-axis (x₂= = 3
Iphuzu eliphakathi lesigaba 2 ku-y-axis (y₂= = 1

Indawo yesigaba 3 (A)₃) = (6-4)(8-0) = (2)(8) = 16
Iphuzu eliphakathi lesigaba 3 ku-x-axis (x₃= = 5
Iphuzu eliphakathi lesigaba 3 ku-y-axis (y₃= = 4

Ama-coordinates esikhungo sokudonsa phansi kwento ku-x-axis:
Ama-coordinates enkabeni yamandla adonsela phansi ento ku-y-axis:
Izixhumanisi zesikhungo sokudonsa phansi kwento maqondana nephuzu O ziyi (x, y) = (3, 3 2/3)
Impendulo efanele ngu-E.

10. Izixhumanisi zesikhungo sokudonsa phansi komfanekiso wendiza ngezansi yilezi….

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

Ingxoxo
Hlukanisa into ibe izingxenye ezintathu, ingxenye 1 = unxande, ingxenye 2 = unxande, ingxenye 3 = unxande.

Indawo yesigaba 1 (A)₁) = (1-0)(3-0) = (1)(3) = 3
Iphuzu eliphakathi lesigaba 1 ku-x-axis (x₁= = 0,5
Iphuzu eliphakathi lesigaba 1 ku-y-axis (y₁= = 1,5

Indawo yesigaba 2 (A)₂) = (3-1)(2-1) = (2)(1) = 2
Iphuzu eliphakathi lesigaba 2 ku-x-axis (x₂= = 2
Iphuzu eliphakathi lesigaba 2 ku-y-axis (y₂= = 1,5

Indawo yesigaba 3 (A)₃) = (4-3)(3-0) = (1)(3) = 3
Iphuzu eliphakathi lesigaba 3 ku-x-axis (x₃= = 3,5
Iphuzu eliphakathi lesigaba 3 ku-y-axis (y₃= = 1,5

Ama-coordinates esikhungo sokudonsa phansi kwento ku-x-axis:
Ama-coordinates enkabeni yamandla adonsela phansi ento ku-y-axis:

Ama-coordinates esikhungo sokudonsa phansi sento yi-(x, y) = (2, 1 1/2)
Impendulo efanele ngu-C.

Umthombo wombuzo:

Imibuzo Yefiziksi Yezivivinyo Zikazwelonke Zesikole Samabanga Aphezulu/Isikole Samabanga Aphezulu Sokufundela Umsebenzi