line and planes
TRANSCRIPT
T
s N
M
Q LINE SQ AND PLANE SMTN
ORTHOGONAL PROJECTION
OF LINE SQ ON PLANE SMTN
= LINE ST
SO ANGLE QST
Example:
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
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
AM SUDUT MAE
A
E M
4
15
ADEF
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
N
E
D N
5
6.5 cm
AECABCD
E DEPAN
5tan6.5
= 37.57
EA = EC
E N D
SPM 2009
(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
SLN SRMN
L N M
LNM tan LNM = or equivalent 36.87o or 36o 52’
(i) Marked Angle between BCHG and ABCD(ii) Calculate the angle
20' 51or 34.5145ABG Tan
oo
106 DCETan (b)
ECD / DCE (a)
Kesilapan Pelajar:
(a) Tidak menanda sudut / menyatakan sudut
(b) Tidak semestinya menggunakan Tan.
(c) Pengiraan sisi yang salah (d) Membulatkan Jawapan.
spm2011