Projek Soalan Add Math

[Mirage_Angel 0]

civ3:

jawapan ko utk soalan lanjutan ada berapa kaedah boleh kongsi skit tak kalau ko ada dua kaedah takpun ko send kat [email protected]

Edited August 22, 2004 by BoA_Fans

[ApoNie 0]

oooo... ko dah tau rupanya hehehe

ko buat jer 2 kaedah tu.Aku rasa boleh kot

p/s: ko ni pompuan ker ,nama cam pompuan jer.

[civ3 9]

yoyo!! kpd org2 yg dah aku postkan jawapan add math tu... kalau ade pengenalan utk add math tu bagi tau aku ok? have a nice day!!

[Mirage_Angel 0]

Aponie : aku lelakila hehehe. kalau korang dah tau apa nak letak kat bhg pengenalan tu kongsi-kongsilah bersama.

[ApoNie 0]

lelaki rupanya..hkohokhokh

kalau ada penegenalan , jangan lupa post kat aku jugak

to civ3: trimas sebab bagi jawapan tu

Edited August 22, 2004 by ApoNie

[Mirage_Angel 0]

Aponie : ko leh send kat aku tak jawapan utk kaedah kedua soalan lanjutan.

[ApoNie 0]

Aku rasa , soklan lanjutan tak perlu kaedah kedua. Tapi , kalau aku jumpa kaedah lain , aku beritau ko..

[Mirage_Angel 0]

ok thanks

[civ3 9]

hmm...i'm still waiting for the pengenalan........arghh...urgent nie....hehe!! chowzz!!

[ApoNie 0]

wehhh... aku teringat yang cikgu aku suruh buat konjektur (ramalan awal ) , Heurestik (Kaedah lain ) dan pengitlakan (kesimpulan) tu nak buat cam mana ha? aku masih kabur nih!

Tapi yang susah nak kesipulan jer nie , ada aper per cadangan tak?

[civ3 9]

owh...cikgu kau suruh buat kaedah lain dan kajian awal ke? skul aku lak cikgi suruh buat pendahuluan/pengenalan/masalah yg dikaji/pembuktiaan/cara semak jawapan.....sume nie buat kepala aku bingung

[ApoNie 0]

laaa..... sama ler sekolah ko dengan sekolah aku .

Namapak gayanya kena tanya cikgu jugak ler kat sekolah , baru bleh tahu cam mana nak buat . Tapi , aku rasa , apa yang aku ada sekarang dah cukup syarat dah , cuma aku tak tahu nak bahagi bahagian bahagian tertentu jer.

[civ3 9]

hm...ttg pengenalan nie boleh ke aku buat ttg sejarah jambatan gantung? kalau ttg sejarah die aku dah dpt...macam thn lepas buat tin aluminium....pengenalan ialah history of aluminium tin

[ApoNie 0]

Memang ler pengenalan tu tentang sejarah jambatan gantung.

tapi mesti ko jumpa pengenalan tu dalam BI kan?

Aku pun jumpa dalam BI , dalam Bm susah nak cari (memang tak der kot? ).

[civ3 9]

ooo...so betullah pengenalan tu ttg sejarah die....so bolehlah aku print out aku... cikgu aku tak kisah dlm bi atau bm...sbbnyer thn lepas pun history tin dlm bi gak...so thx for the info!

[BudakZonM 0]

wuaa.... cikgu aku lagi teruk, sumer buat sendirik... tanya satu pun takleh, dier cumer cakap 'salah' atau 'betul' huhuhuhuhu

[civ3 9]

hm...mmg teruk gak kalau sume kene buat sendiri...takpe jgn bimbang... aku, boa_fans,apo nie akan tolong kau buat add math nie.... dun worry!!!chowz!!!

kalau any prob. juzt pm aku/boa_fanz n apo nie...kte org kat putera nie sentiasa murah hati nak tolong org susah...oklah chow!

[ApoNie 0]

BudakZonM Posted on Aug 24 2004, 09:48 AM

  wuaa.... cikgu aku lagi teruk, sumer buat sendirik... tanya satu pun takleh, dier cumer cakap 'salah' atau 'betul' huhuhuhuhu 

Kalau cikgu aku macam tu , dah lama dah aku kutuk . Tapi tak per , betul kata civ3 , kami kat putera nie akan bantu ko.

[BudakZonM 0]

yeah... trimas, camnie la kawan... nanti lepas spm aku blanjer korang ... bayar duit korang sendirik...

[civ3 9]

bagi sesiapa yg nak rujukan bhn folio... korang blh tgk nie

Ini adalah jawapan untuk projek Matematik Tambahan Tingkatan 5.Soalan 1

A)

Cari fungsi yang mewakili lengkung kabel itiu yang merupakan satu parabola. Berikan sekurang-kurangnya dua fungsi yang berbeza.

Jawapan (a)

Kaedah 1

y = ax² + bx + c

Melalui titik (0, 5), c = 5

y = ax² + bx + c

Melalui titik (300, 50)

Gantikan nilai-nilai

50 = a(300)² + 300b + 5 …………….(1)

Melalui titik (-300,50)

50 = a(-300)² + (-300)b + 5 …………(2)

100 = 180000a + 10

a =1/2000 , b= 0

y = 1/2000 x² + 5

Kaedah 2

y = ax² +bx + c

Melalui titik (0, 50), c =50

y = ax² + bx +c

Melalui titik (300, 5)

5 = a(600)² + 300b +50 ………………(1)

Melalui titik (600, 50)

50 = a(600)² + (600)b + 50 …………..(2)

Selesaikan (1) dan (2),

a = 1/2000 , b=-3/10

y= 1/2000 x² - 3/10 x + 50

Penyemakan jawapan dengan melukis graf bagi fungsi yang diperoleh

Jawapan (

Kaedah 1

X Y

0 50.00

50 36.25

100 25.00

150 16.25

200 10.00

250 6.25

300 5.00

350 6.25

400 10.00

450 16.25

500 25.00

550 36.25

600 50.00

Jarak diantara dua kabel tegak ialah d meter. Carikan bilangan kabel tegak yang digunakan di kedua-dua belah jambatan seperti dalam jadual di bawah.

Kaedah 1

Katakan jarak di antara kabel ialah 10m

Maka,

[ (Panjang jambatan/ Jarak diantara kabel tegak) –1 ]*2

= [ (600/10) –1 ] * 2

=118

· Darab

10 118

15 78

20 58

25 46

30 38

Kaedah 2

Apabila d=10

Jarak kabel tegak dari awal jambatan ialah 10, 20, 30,………600

Þ Janjang Aritmetik: a=10, d=10

Tn = 600

a + (n-1)d = 600

10 + (n -1)10 = 600

n=60

Jadi, bilangan kabel tegak = (60-1)x2=118

Apabila d=15,

Jarak kabel tegak dari awal jambatan ialah 15, 30, 45, ………, 600

Þ Janjang Aritmetik: a=15, d=15

Tn = 600

a+ (n-1)d = 600

15 + (n-1)15 = 600

n = 40

Jadi, bilangan kabel tegak = (40-1)x2=78

Apabila d = 20,

Jarak kabel tegak dari awal jambatan ialah 20, 40, 60, ………, 600

Þ Janjang Aritmetik: a=20, d=20

Tn = 600

a+ (n-1)d = 600

20 + (n-1)20 = 600

n = 30

jadi, bilangan kabel tegak = (40-1)x2=58

Apabila d = 25,

Jarak kabel tegak dari awal jambatan ialah 25, 50, 75, ………, 600

Þ janjang Aritmetik: a = 25, d = 25

Tn = 600

a + (n-1)d = 600

25 + (n-1)25 = 600

n = 24

jadi, bilangan kabel tegak = (24-1)x2 = 46

Apabila d = 30,

Jarak kabel tegak dari awal jambatan ialah 30, 60, 90, ………, 600

Þ Janjang Aritmetik: a = 30, d = 30

Tn = 600

a + (n-1)d = 600

30 + (n-1)30 = 600

n = 20

jadi, bilangan kabel tegak = (20-1)x2 = 38

Soalan Lanjutan

Jarak di antara kabel tegak (d m) Jenis Kabel Kos semeter

10 A RM500

15 B RM750

20 C RM1000

25 D RM1200

30 E RM1500

C)

Jadual di atas menunjukkan kos lima jenis kabel yang boleh digunakan sebagai kabel tegak dalam pembinaan jambatan itu.

Jawapan ©

Jenis kabel A,

X Y = 1/2000 x² + 5

0 5

10 5.05

20 5.2

30 5.45

40 5.8

50 6.25

60 6.8

70 7.45

80 8.2

90 9.05

100 10

110 11.05

120 12.2

130 13.45

140 14.8

150 16.25

160 17.8

170 19.45

180 21.2

190 23.05

200 25

210 27.05

220 29.2

230 31.45

240 33.8

250 36.25

260 38.8

270 41.45

280 44.2

290 47.05

577.75

Jenis kabel B,

X Y = 1/2000 x² + 5

0 5

15 5.1125

30 5.45

45 6.0125

60 6.8

75 7.8125

90 9.05

105 10.5125

120 12.2

135 14.1125

150 16.25

165 18.6123

180 21.2

195 24.0125

210 27.05

225 30.3125

240 33.8

255 37.5125

270 41.45

285 45.6125

377.8748

Jenis Kabel C,

X Y = 1/2000 x² + 5

0 5

20 5.2

40 5.8

60 6.8

80 8.2

100 10

120 12.2

140 14.8

160 17.8

180 21.2

200 25

220 29.2

240 33.8

260 38.8

280 44.2

278

Jenis Kabel D,

X Y = 1/2000 x² + 5

0 5

25 5.3125

50 6.25

75 7.8125

100 10

125 12.8125

150 16.25

175 20.3125

200 25

225 30.3125

250 36.25

275 42.8125

218.125

Jenis Kabel E,

X Y = 1/2000 x² + 5

0 5

30 5.45

60 6.8

90 9.05

120 12.2

150 16.25

180 21.2

210 27.05

240 33.8

270 41.45

178.25

1)

Tentukan jenis kabel yang harus digunakan supaya kos kabel tegak afdalah minimum.

Jadual Pengiraan Kos Kabel Tegak

Jenis kabel Jumlah y RM H = [2(Jumlah y)-5]*2 Jumlah kos(RM H* Kos semeter)

A 577.75 2221.00 1150500.00

B 377.8748 1501.50 1126125.00

C 278 1102.00 1102000.00

D 218.125 862.50 1035000.00

E 178.25 703.00 1054500.00

Kos kabel tegak yang digunakan untuk kos pembinaan minimum ialah kabel jenis D.

2)

Hitungkan jumlah kos kabel yang mininum untuk membian jambatan itu, jika kos setiap kabelo lengkung ialah RM 1.1 juta.

Jumlah kos minimum bagi kabel = RM 1035000.00 + 2(RM1100000)

= RM 3.235 juta.

Jawapan (d)

Baki belanja untuk kabel condong

= RM4,000,000 – RM3,235,000

= RM765,000

Katakan x ialah panjang maksimum setiap kabel condong

Panjang maksimum setiap kabel condong

Þ 4x (RM 1200) = RM 765,000

x = 159.375 m

[civ3 9]

nie aku kasi lg... aku nie baik hati sgt..so aku letaklah ok cun? tp jgn tiru 100%.. penat aku buat ayat nie.. ok cun?

Kesimpulan

Selepas membuat projek ini, saya mendapati bahawa ada banyak maklumat perlu saya tahu didunia luar. Sebagai contoh, pembinaan jambatan gantung memerlukan kos yang paling minimum untuk dibina supaya tidak merugikan. Selain itu, daripada projek ini saya belajar banyak pekara baru. Antaranya ialah semangat berkumpulan, tolong-menolong antara satu sama lain dan yang paling penting saya dapat menjimatkan kos semasa membuat sasuatu. Akhir kata, apa yang salah dan silap dalam folio ini saya, ..............menyusun sepuluh jari saya untuk meminta maaf.

PENGENALAN

Sejak akhir-akhir ini, keadaan ekonomi negara kita berkembang maju. Dengan adanya pembangunan yang semakin ketara berbagai-bagai kemudahan diperlukan. Oleh sebab itu, kerajaan Malaysia telah merancang beberapa rancangan agar pembangunan yang semakin rancak dapat dijalankan.

Seperti yang kita ketahui bilangan kenderaan semakin bertambah dari hari ke hari. Oleh sebab itulah kerajan patut mengorak langkah untuk meningkatkan taraf jalan raya di negara ini. Sebagai contoh, pembinaan jambatan tergantung banyak memanfaatkan rakyat. Ini kerana ia dapat memendekkan masa perjalanan antara satu tempat dengan tempat yang lain. Bukan itu sahaja, pembinaan sesebuah jambatan tergantung memerlukan kos yang tinggi serta kepakaran.

Secara amnya, kerajaan patut merancang secara bijak dalam pembinaan jambatan tergantung kerana nyawa seseorang akan terancam jika pembinaan jambatan tersebut tidak dirancang dengan betul.

[civ3 9]

baiknyer aku mlm nie.... aku harap dgn sume completela korang punyer add math project....ok cun?

Sejarah Jambatan Gantung (versi Bahasa Inggeris)

The history of the Wheeling Suspension Bridge is intimately involved in the history of Wheeling and must be viewed in terms of a national emphasis on what was then called "internal improvements," which meant the construction of a network of transportation systems to join the untapped natural resources of the Midwest with the commercial centers on the eastern seaboard. One of the earliest advocated for "internal improvements" was Albert Gallatin, who as Secretary of the Treasury published his influential report on roads and canals in 1808. However, before the dawn of the nineteenth century Ebenezer Zane, the founder of Wheeling, received approval from the U. S. Congress to build a post road in the Northwest Territory from Wheeling to Limestone (now Maysville), Kentucky. This established Wheeling as a gateway to the Northwest Territories. This position was greatly enhanced with the construction of the National Road from Cumberland, Maryland to Wheeling.

Amid intense debate and bitter rivalries the Federal Government approved the National Road in 1806. It took four years to locate the most suitable route and another eight years to complete the construction of this, the first federal road. The first section was opened in 1813 but the road did not reach Wheeling until 1818. In anticipation of the road reaching Wheeling, the Wheeling and Belmont Bridge Company was formed to provide, first by ferries and later bridges, a passage over the Ohio River. The link between Wheeling and the State of Ohio required passage over the main channel of the Ohio River, a roadway across Wheeling Island (earlier Zane's Island) and a passage over the back channel of the Ohio River to the Ohio shore. The entire link was within the State of Virginia because the Ohio border is on the west bank of the river.

Despite the foresight and best intentions of the company the first bridge was not completed until 1836 when a handsome two span covered bridge was completed across the back channel. It was a notable feature on the National Road for many decades and at one time it carried horse drawn streetcars. It was replaced in 1893 by the present metal truss bridge complete with decorative ironwork.

It was also in 1836 that Charles Ellet, Jr., never one to let an opportunity pass, first confronted the bridge company about the possibility of bridging the man channel and even submitted a sketch of his design of a suspension bridge for their consideration. The seed has been planted, but germination and fruitarian took a rather long time.

Ellet's next contact with Wheeling was during the construction of the Fairmount Bridge, in Philadelphia, in 1841. In a visit to Wheeling that year he proposed to build a bridge for $120,000. Ellet's rival bridge builder John Roebling appeared in Wheeling the following year with an alternate design. He estimated his bridge at $150,000, but later revised it to $130,000 to meet Ellet's sum. This was accomplished by eliminating the architectural details.

On March 19, 1847, the General Assembly of Virginia amended the Act of 1816 establishing the Wheeling and Belmont Bridge Co., which authorized the sale of capital stock not to exceed $135,000. The Back Channel Bridge and the easement across the Wheeling Island were incorporated in the new company. In May, the Board of the bridge company invited both Ellet and Roebling to present their designs together with cost estimates. Apparently the bridge company did not issue a brief for the bridge design in sufficient detail to insure that both men were bidding on the same structure. This situation is to be expected in an era before the development of the modern system of producing detailed contract documents including specifications and drawings. After asking Ellet and Roebling to revise their proposals so that a direct comparison could be made for each design the Board appointed Ellet. Recently discovered sketches of Roebling and Ellet for their Wheeling bridge proposals clearly show a marked contrast between Ellet's bold 1000 foot span bridge and Roebling's much more timid design which had the added disadvantage of river piers which would have been difficult to construct, and posed an obstacle to navigation and to the passage of flood water on the Ohio River. From every aspect Ellet's was the superior design. The Board chose wisely.

Later in the same year Ellet, riding on the crest of his successful proposal in Wheeling, was appointed to build the Niagara Suspension Bridge. Thus, he was responsible for constructing two of the world's greatest bridges simultaneously. Three hundred miles of rough roads, which made supervision a challenge to say the least, separated the sites.

To a man interested in his professional advancement and who enjoyed public esteem, the appointment must have seemed to be a dream come true. The dream, however, in part turned into a nightmare with regard to the celebrated Niagara Bridge. In the course of construction Ellet exhibited his flare for publicity by sponsoring a kite flying contest to bring the first wire across the gorge. This was followed by the construction of an aerial tramway with an iron basket to give paying passengers the heady experience flying over the gorge suspended by cables only. As an aid in constructing the main bridge a temporary footbridge was built on the suspension principle. Upon its completion Ellet proceeded to ride a horse across the seven-foot wide bridge. An amazing feat for the horse when we consider there were no handrails! Although Ellet managed to keep the project in the public's eye he ran headlong into conflict with the bridge company over who should receive the gate receipts from his public entertainment. The upshot of the disagreement was that Ellet was fired and his rival John Roebling was appointed to complete the project. This established Roebling as a leading suspension bridge builder and resulted in his famous double deck Niagara Railroad Bridge.

With his project at Niagara eclipsed, Ellet turned his characteristic energy to the construction of the Wheeling Bridge, which he completed amid great public acclaim and ceremony, including a procession across the bridge. Ellet had established America's leadership in long span suspension bridge building by completing the world's longest clear span bridge. The leadership was to remain unchallenged in American hands until the 1960s with the completion of major British bridges across the Severn River, the Firth, and Humber River.

[Mirage_Angel 0]

civ3 : kaedah kedua utk soalan lanjutan belum dapat lagikan? mengikut pandangan akula, kaedah kedua utk soalan c mungkin kita kena buat graf. Apa pendapat korang?

[civ3 9]

civ3 : kaedah kedua utk soalan lanjutan belum dapat lagikan? mengikut pandangan akula, kaedah kedua utk soalan c mungkin kita kena buat graf. Apa pendapat korang?

hmm...mane ade kaedah kedua utk soalan tu.... sskooll lain pun buat cara nie... ttg graf aku tak pasti... kawan aku takde plak ckp ader graf utk c tu....maybe takde kut...kawan aku dahla pandai add math...sume complete die buat

[Mirage_Angel 0]

Bukankah dalam arahan ada sebut "pelajar mesti menyelesaikan maslaah dengan menggunakan sekurang-kurangnya dua kaedah atau lebih". Tapi kalau ko dah kata macam tu kira siap jugakla akhirnya folio addmath ku ni. Btw, ko sekolah dekat mana civ3

tentang pengenalan tu aku cadangkan kalau korang nak guna versi english korang letaklah dekat bhg bawah sekali tu perkataan "adapated from....." mungkin lebih selamat. Ini cuma cadangan aku je.

Edited August 24, 2004 by Mirage_Angel