Lipotso tsa Mohlala oa Vector ea ho Furalla

Mehlala e 12 ea Lipotso tsa Vektheri ea ho Furalla

1. Fitria o ile a nka leeto la ho latela mehato ea hae ho qala ho tloha ntlheng ea A ho ea ntlheng ea B: 600 m leboea; ho ea ntlheng ea C 400 m bophirima; ho ea ntlheng ea D 200 m boroa; ebe o fella ntlheng ea E 700 m bochabela. Boholo ba ho falla ho fumanoeng ke Fitria ke….
A. 100 m
B. 300 m
C. 500 m
D. 1500 m
E. 1900 m
Puisano

Hoa tsebahala hore:
AF = AB – BF = AB – CD = 600 – 200 = 400 m EF = DE – DF = DE – BC = 700 – 400 = 300 m Sebelisa foromo ea Pythagorean:

Leboea-bochabela.
Karabo e nepahetseng ke C.

2. Ngoana o tsamaea ka ho otloloha limithara tse 10 ho ea bophirima, ebe o retelehela boroa ka limithara tse 12, ebe o retelehela bochabela hape ka limithara tse 15. Ho sutha ha ngoana sebakeng sa hae sa pele ke...

A. Limithara tse 18 ka boroa-bophirima
B. Limithara tse 14 ka boroa
C. Limithara tse 13 ka boroa-bochabela
D. Limithara tse 12 ka bochabela
E. Limithara tse 10 ka boroa-bochabela

3. Ngoana o tsamaea ka ho otloloha limithara tse 10 ho ea bophirima ebe o retelehela boroa ka limithara tse 12, ebe o retelehela bochabela hape ka limithara tse 15. Ho sutha ha ngoana sebakeng sa pele ke...
A. Limithara tse 18 ka boroa-bophirima
B. Limithara tse 14 ka boroa
C. Limithara tse 13 ka boroa-bochabela
D. Limithara tse 12 ka bochabela
E. Limithara tse 10 ka boroa-bochabela

4. Ngoana o tsamaea ka ho otloloha mithara e le 'ngoe ho ea bophirima, ebe o retelehela boroa ka limithara tse 3, ebe o retelehela bochabela hape ka limithara tse 5. Ho sutha ha ngoana sebakeng sa hae sa pele ke...
A. Limithara tse 18 ka boroa-bophirima
B. Limithara tse 14 ka boroa
C. Limithara tse 10 ka boroa-bochabela
D. Limithara tse 6 ka bochabela
E. Limithara tse 5 ho ea ka boroa-bochabela
Puisano

5. Ntho e tsamaya tseleng jwalo ka ha ho bontshitswe kerafong e latelang:

Ho falla ho hlahelang ntho ke….
A. 23 m
B. 21 m
C. 19 m
D. 17 m
E. 15 m

6. Ngoana o matha dimithara tse 80 ka leboya, ebe o retelehela dimithara tse 80 ka botjhabela le dimithara tse 20 ka borwa. Boholo ba ho falla ho entsweng ke ngwana ke...

A. 060 m
B. 080 m
C. 100 m
D. 120 m
E. 180 m

7. Budi o tsamaya dimithara tse 6 ka botjhabela, ebe dimithara tse 6 ka borwa, le dimithara tse 2 ka botjhabela. Ho falla ha Budi ho tloha moo a qalang teng ho...
A. 20 m
B. 14 m
C. 12 m
D. 10 m
E. 8 m

8. Ntho e fallela ka bochabela dimithara tse 40 ebe e leba ka leboya-botjhabela ka sekhutlo sa 37o ho ya ho sephara ka dimithara tse 100 ebe e leba leboya dimithara tse 100. Boholo ba ho falla ho entsweng ke ntho ke…. (sin 37^o = 0,6)
A. 180 m
B. 200 m
C. 220 m
D. 240 m
E. 300 m
Puisano
Hoa tsebahala hore:

Potso: Boholo ba ho falla (R)
Karabo:

9. Ntho e tsamaya dimithara tse 4√3 ho ya bophirima, ebe e tswela pele ka leeto la yona dimithara tse 4 ho ya leboya, ebe e retelehela dimithara tse 60 ho ya botjhabela ka dimithara tse 8. Boholo ba leeto la ntho ke….
A. 2 m
B. 4 m
C. 4√3 m
D. 6 m
E. 8 m
Puisano

Ho latela palo ena, ho fihletswe qeto ya hore boleng ba a = boleng ba a' = 4√3 metres.
Bala motsamao o hlahang oa ntho (R):
R = b' + d = limithara tse 4 + limithara tse 4
R = limithara tse 8
Karabo e nepahetseng ke E.

10. Ketsahalong ea "Mokete oa Marathon oa Motse" ka Mphalane 2014 Jakarta, ho ne ho e-na le mekhahlelo e 4 ea ho matha, e leng marathon e felletseng (42 km), halofo ea marathon (21 km), 10 km, le 5 km, moo tsela ea sehlopha ka seng e neng e khethiloe. Peiso ena ea marathon e qalile mohahong oa Bung Karno Gelora 'me ea fella Monas. E mong oa barupeluoa ba peisong ea bitsoang Andri o ile a nka karolo marathonng e felletseng 'me o ile a khona ho koahela tsela feela ho tloha lintlha tsa A, B, le C joalo ka ha ho bontšitsoe ho Setšoantšo sa 2.

Haeba lebokose le le leng le emela 1 km, joale ho falla hohle ho tsamailoeng ke Andri ke…

A. 26 km

B. 20 km

Bophirima 12 km

D. 10 km

E. 8 km

Puisano

Bolelele ba lehlakore le ka tlase = 8 km, bolelele ba lehlakore le ka pele = 6 km.

Ho sebelisoa foromo ea Pythagorean, ho falla = R = 10 km

Karabo e nepahetseng ke D.

11. Ntho e fallela ka bochabela dimithara tse 40 ebe e leba ka leboya-botjhabela ka sekhutlo sa 37 ^o ho ya ho sephara sa dimithara tse 100 ebe e leba leboya dimithara tse 100. Boholo ba ho falla ho entsweng ke ntho ke…. (sin 37 ^o = 0,6)

A. 180 m
B. 200 m
C. 220 m
D. 240 m
E. 300 m

Puisano
Hoa tsebahala hore:
a = limithara tse 40
b = ….
c = ….
d = 100 limithara
e = limithara tse 100
θ = 37o
sebe 37o = 0,6

Potso: Boholo ba ho falla (R)
Karabo:

Bala boleng ba c:
Sebe sa 37^o = c / d
0,6 = c / 100
c = (100)(0,6)
c = limithara tse 60
Bala boleng ba b:
Ho otla vekthara e hlahang ho falla:
Karabo e nepahetseng ke B.

12. Ntho e tsamaya dimithara tse 4√3 ho ya bophirima, ebe e tswela pele ka leeto la yona dimithara tse 4 ho ya leboya, ebe e reteleha ^{dimithara tse} 60 ho ya botjhabela ka dimithara tse 8. Boholo ba leeto la ntho ke….

A. 2 m
B. 4 m
C. 4√3 m
D. 6 m
E. 8 m

Puisano
Hoa tsebahala hore:
a = a' = 4√3 limithara
b = b' = limithara tse 4
c = limithara tse 8
d = ……
E botsitsoe: Motsamao o hlahang oa ntho (R)
Karabo:
Bala boleng ba d:
sebe 30^o = d / c
0,5 = d / 8
d = (0,5)(8)
d = 4 limithara
Bala boleng ba a':

Ho latela palo ena, ho fihletswe qeto ya hore boleng ba a = boleng ba a' = 4√3 metres.

Bala motsamao o hlahang oa ntho (R):

R = b' + d = limithara tse 4 + limithara tse 4

R = limithara tse 8

Karabo e nepahetseng ke E.

Mohloli oa lipotso:

Lipotso tsa Fisiks tsa Tlhahlobo ea Naha bakeng sa Sekolo se Phahameng sa Thuto e Phahameng/Sekolo se Phahameng sa Mosebetsi