line and planes

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Page 1: Line and planes
Page 2: Line and planes
Page 3: Line and planes

T

s N

M

Q LINE SQ AND PLANE SMTN

ORTHOGONAL PROJECTION

OF LINE SQ ON PLANE SMTN

= LINE ST

SO ANGLE QST

Example:

Page 4: Line and planes

T

s N

M

Q

Garis SQ dgn satah SMTN

KAEDAH POTONG

Example:

S Q

S M T N

Q_ S__T_

1. POTONG YG SAMA DAN LETAK DI TENGAH2. YG TINGGAL DIDEPAN

3.DARI Q KE TAK POTONGCARI YG PALING DEKAT. - QT

Page 5: Line and planes

P

S

T

U

R

Q

V5 CM

12 cm

Diagram shows a right prism. The base PQRS is a horizontal rectangle. Right angled triangle QRU is uniform cross-section of the prism. V is the mid-point of PS.

Identify and calculate the angle between the line UV and the plane RSTU. Spm 2007

0 ''

8tan 13

= 31 36

16

cm

13

V

S U

8

U V

RSTU V U S

Page 6: Line and planes

AM SUDUT MAE

A

E M

4

15

ADEF

Page 7: Line and planes

A

G

F

E

D

CB

H

ISTEPS : 1. POTONG YG SAMA

2. YG TINGGAL E, F - DIDEPAN

3. E KE YG POTONG - C @ D

EFCD ABCD

E D A F C B

4. E KE YG TAK POTONG - A @ B

Page 8: Line and planes

N

E

D N

5

6.5 cm

AECABCD

E DEPAN

5tan6.5

= 37.57

EA = EC

E N D

Page 9: Line and planes

SPM 2009

Page 10: Line and planes

(a)Nama the angle between the plane BCJ and the base ABCD

(b)Calculate the angle between the plane BCJ and the base ABCD.

D

1. :

2.

BCJ

SPM 2009

4

ABCD

J B A

Page 11: Line and planes

SLN SRMN

L N M

Page 12: Line and planes

LNM tan LNM = or equivalent 36.87o or 36o 52’

Page 13: Line and planes
Page 14: Line and planes

(i) Marked Angle between BCHG and ABCD(ii) Calculate the angle

20' 51or 34.5145ABG Tan

oo

Page 15: Line and planes

106 DCETan (b)

ECD / DCE (a)

Page 16: Line and planes

Kesilapan Pelajar:

(a) Tidak menanda sudut / menyatakan sudut

(b) Tidak semestinya menggunakan Tan.

(c) Pengiraan sisi yang salah (d) Membulatkan Jawapan.

Page 17: Line and planes

spm2011

Page 18: Line and planes