Nota Form 4 Add Math

8/18/2019 Nota Form 4 Add Math

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Bab 1 : Fungsi

1. Fungsi ialah sejenis hubungan khas yang mana setiap objek dalam domain mempunyaihanya satu imej dalam kodomain.

Hubungan satu dengan satu Hubungan satu dengansatu ialah fungsi ialah fungsi

2. Fungsi nilai mutlak ditakrifkan oleh

Graf fungsi nilai mutlak

3. Jika f ialah suatu fungsi yang memetakan set A kepada set B dan g ialah suatu fungsi yangmemetakan set B kepada set C, maka gf ialah fungsi gubahan f diikuti dengan g yang

memetakan set A terus kepada set C.

. Jika ialah suatu fungsi yang memetakan ! kepada y, maka

songsangannya ditandakan sebagai f "1. Fungsi songsang ialah suatu fungsi yag memetakan ykembali kepada !.

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Bab 2 : Persamaan Kuadratik

1. Bentuk am persamaan kuadratik ialah

yang mana:a, b dan c = pemalar

a ≠ 0x = pembolehubah

2. Suatu persamaan kuadratik ax2 + bx + c = 0 dapat diselesaikan dengan menggunakan kaedah:

3. ersamaan kuadratik dapat dituliskan sebagai

!. "agi persamaan kuadratik ax2 # bx # c = 0,

$. Syarat untuk jenis punca persamaan kuadratik ialah

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%.

Bab 3 : Fungsi Kuadratik

http://lh5.ggpht.com/-zouQTD523B0/UQdbr9M2wiI/AAAAAAAAAG8/idiyDNuVjHg/s1600-h/IMG_0004.jpg1%25255B10%25255D.jpghttp://lh3.ggpht.com/-0jsSssLBBBU/UQdKyeTCthI/AAAAAAAAAko/5AyMAQVyzs0/s1600-h/IMG_0003.jpg5%25255B39%25255D.jpghttp://lh3.ggpht.com/-LzOjupl9Xy0/UQdKvDfrLvI/AAAAAAAAAlE/ubHmrcNU_aM/s1600-h/IMG_0003.jpg4%25255B28%25255D.jpg


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2. #ilai maksimum atau minimum bagi suatu fungsi kuadratik f$!% & a!2 ' b! ' ( dapat di(ari

dengan menggunakan kaedah penyempurnaan kuasa dua, iaitu dengan mengungkapkan a!2 '

b! ' ( dalam bentuk a(x + p)2 + q.3. Apabila a > 0, fungsi a$! ' p%2 ' ) mempunyai nilai minimum. #ilai minimum itu

ialah q dan ini berlaku apabila x = p.

. Apabila a > 0, fungsi a$! ' p%2 ' ) mempunyai nilai maksimum. #ilai maksimum ituialah q dan ini berlaku apabila x = p.

*. Bagi fungsi kuadratik f$!% & a!2 ' b! ' ( & a$! ' p%2 ' ), persamaan paksi simetri ialah

+. !etaksamaan kuadratik dapat diselesaikan dengan menggunakan kaedah lakaran graf

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seperti berikut.

Bab 4 : Persamaan Serentak

1. angkah"langkah untuk menyelesaikan persamaan serentak ialah-

Bab 5 : Indeks dan Lgaritma

1. "ukum#hukum indeks ialah-

2. ndeks pe(ahan - 3. ndeks negatif -

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. Jika a x = y dengan keadaan a / 0, a 0 1, maka x ialah logaritma bagi y kepada asas a, iaitu

*. +.

. "ukum#hukum logaritma ialah

.

. ogaritma sesuatu nombor pada suatu asas tertentu boleh ditukarkan kepada asas yang

lain dengan menggunakan rumus"rumus

14. $ersamaan indeks

Jika an & bn, dengan keadaan a & 0, b / 0 atau a 5 0, b 5 0, maka11. $ersamaan logaritma

Jika maka x = y.

Bab ! : "emetri Krdinat

1. Jarak & 2. 6itik tengah &

3. 7oordinat titik yang membahagi se(ara dalam tembereng garis dengan nisbah m : n ialah

. uas segitiga &

*. uas sisiempat &

+. 7e(erunan & 8

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. $ersamaan garis lurus ialah

• jika ke(erunan, m dan pintasan" y, c diberi,

• jika ke(erunan, m dan satu titik, $ x1 , y1% diberi,

• jika dua titik, $ x1 , y1% dan $ x2 , y2% diberi,

• jika pintasan"! , a dan pintasan" y, b diberi,

.

. 6erdapat 3 jenis syarat yang menentukan persamaan lokus satu titik bergerak 9(x,y)-$a% Jaraknya dari satu titik tetap, :$ x1 , y1% ialah satu pemalar (k).

$b% Jaraknya dari dua titik tetap, :$ x1 , y1% dan ;$ x2 , y2% adalah sama.

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$(% #isbah jaraknya dari dua titik tetap, :$ x1 , y1% dan ;$ x2 , y2% ialah m : n.

Bab # : Statistik

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1.

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2. Jika setiap (erapan dalam set data ditambah atau ditolak dengan satu nilai pemalar k, maka

3. Jika setiap (erapan dalam set data didarab dengan satu pemalar k, maka

. Jika setiap (erapan dalam set data ditambah atau ditolak dengan satu nilai pemalar k , maka

*. Jika setiap (erapan dalam set data didarab dengan satu pemalar k, maka

+. Apabila dua set data, X dan Y digabungkan, maka

Bab $ : Sukatan %embulat

1. ;umus penukaran dar%ah kepada radian ialah

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2. ;umus penukaran radian kepada dar%ah ialah

3.

.

*.

Bab & : Pembe'aan

1. 6erbitan pertama bagi suatu fungsi y terhadap x ialah

2, Jika y = uv, maka

3. Jika , mak a

. Jika y = k[f(x)]n, maka

*. Jika y = f(u) dan u = g(x), maka

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+. $ersamaan tangen pada titik (x1 , y1 ) ialah

yang mana

. $ersamaan normal pada titik (x1 , y1 ) ialah

yang mana

. 9ada titik pusingan&

. 9ada titik maksimum& 14. 9ada titik minimum&

dan tanda dan tanda

adalah negatif. adalah positif.11. 'asalah 'aksimum dan

'inimum

12. !adar $erubahan yang erhubung

13. $erubahan !eil

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1. $enghampiran

Bab 1( : Pen)elesaian Segitiga

1.

$etua sinus diberi oleh atau

2. $etua *inus melibatkan !es erambiguiti

3. $etua !osinus diberi oleh

. ,uas segitiga ABC

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*. -eometri iga 'atra

$a%

$b%

Bab 11 : *mbr Indeks

1. Indeks harga, I diberi oleh

2. Nombor indeks gubahan, I diberi oleh
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Date post:	07-Jul-2018
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Nota Form 4 Add Math

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