MODUL TUDINGAN NEGERI JOHOR

MODUL TUDINGAN NEGERI JOHOR2014

MODUL TUDINGAN SPM2014

MATEMATIK TAMBAHAN

TERBITANJABATAN PENDIDIKAN NEGERI JOHOR&PANEL PERUNDING MATA PELAJARANMATEMATIK TAMBAHANNEGERI JOHOR

PEMBINA MODUL

BILNAMASEKOLAH

1. EN. AHMAD BIN HARITHJABATAN PELAJARAN NEGERI JOHOR

2. PN. NORIZAH BT RAHMATSM SAINS JOHOR, KLUANG

3. PN. UMI KALSOM BT MOHD YUSOFSMK TUN HABAB, KOTA TINGGI

4. PN. KHAIRUNISAK BT SULEIMANSMK BANDAR PENAWAR, KOTA TINGGI

5. PN. HAZLINA BT SOOBOHSMK DATO USMAN AWANG, J BAHRU

6. CIK THAVAMANI A/P RENUSMK JEMENTAH, SEGAMAT

7. PN. SITI MARLINA BT SABRANSMK BANDAR PUTRA, KULAIJAYA

8. EN. SUHIZULHISAM BIN KELIWONSMK PEKAN NENAS, PONTIAN

9. EN. SAMRI BIN YAJIDSMK PASIR GUDANG 1, PASIR GUDANG

10. EN. MOHD SHAHRIN BIN ZAKARIASM SAINS SULTAN ISKANDAR, MERSING

11. EN. HAIRULNIZAM BIN RAMLANSMK SRI RAHMAT JOHOR BAHRU

12. PN. ROSYATI BT SURANISMKA MAAHAD, MUAR

13. PN. NURLINA BT MOHAMAD ANUARSMK TUN DR ISMAIL, MUAR

14. EN. DZULKARNAIN BIN MOHD FADZILSMK SEMERAH, BATU PAHAT

15. EN. ABD KHALIL BIN MOHD MASRISMK BENUT, PONTIAN

BilKandungan Muka surat

1. Kertas 1 set 1

2. Kertas 1 set 2

3. Kertas 1 set 3

4. Kertas 1 set 4

5. Kertas 1 set 5

6. Kertas 2 set 1

7. Kertas 2 set 2

8. Kertas 2 set 3

9. Kertas 2 set 4

10. Kertas 2 set 5

Rumus-rumus berikut boleh membantu anda menjawab soalan. Simbol-simbol yang diberi adalah yang biasa digunakan.The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used.

ALGEBRA

1.x =

2.am an = am + n

3.am an = am n

4.(am)n = am n

5.loga mn = loga m + loga n

6.loga = loga m loga n

7.loga mn = n loga m

8. =

9. = a + (n 1)d

10. =

11. =

12. = = ,

13. = , | r | < 1

KALKULUS (CALCULUS)

1.y = uv

= u + v

2.y = , =

3. = 4.Luas di bawah lengkung (Area under a curve)

= atau (or)

=5.Isipadu janaan (Volume of revolution)

= atau (or)

=

STATISTIK (STATISTICS)

1. =

2. =

3. = =

4. = =

5. =

6.I = 100

7. =

8. =

9. = 10.P(A B) = P(A) + P(B) P(A B)

11.= , p + q = 112.Min (Mean) = np

13. =

14.Z =

GEOMETRI (GEOMETRY)

1.Jarak (Distance)

=2.Titik tengah (Midpoint)

(x, y) = 3.Titik yang membahagi suatu tembereng garis(A point dividing a segment of a line)

(x, y) = 4.Luas segi tiga (Area of triangle) =

5. =

6. =

TRIGONOMETRI (TRIGONOMETRY)

1.Panjang lengkok, s = jArc length, s = r

2.Luas sektor, L =

Area of sector =

3. = 1

= 1

4. =

=

5. =

= 6sin 2A = 2 sinA kosAsin 2A = 2 sinA cosA7.kos 2A = kos2 A sin2 A= 2 kos2 A 1 = 1 2 sin2 Acos 2A = cos2 A sin2 A= 2 cos2 A 1 = 1 2 sin2 A

8. = sinA kosB kosA sinB

= sinA cosB cosA sinB

9. = kosA kosB sinA sinB

= cosA cosB sinA sinB

10. =

11.tan 2A =

12. = = 13.a2 = b2 + c2 2bc kosAa2 = b2 + c2 2bc cosA14.Luas segi tiga (Area of triangle)

= ab sin C

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