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T
s N
M
Q LINE SQ AND PLANE SMTN
ORTHOGONAL PROJECTION
OF LINE SQ ON PLANE SMTN
= LINE ST
SO ANGLE QST
Example:
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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
DIDEPAN3.DARI Q KE TAK POTONG
CARI YG PALING DEKAT. - QT
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P
S
T
U
R
Q
V
5 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 theplane RSTU. Spm 2007
0 ''
8tan
13
= 31 36
13
V
S U
8
U V
RSTU V U S
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AM SUDUTMAE
A
E
M
4
15
ADEF
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A
G
F
E
D
C
B
H
I
STEPS : 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
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N
E
D N
5
6.5 cm
AEC
ABCD
E DEPAN
5tan
6.5
= 37.57
EA = EC
E N D
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SPM 2009
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(a)Nama the angle
between the plane
BCJ and the base
ABCD
(b)Calculate the angle
between the plane
BCJ and the baseABCD.
D
1. :
2.
BCJ
SPM 2009
4
ABCD
J B A
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SLN SRMN
L N M
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LNM
tan LNM = or equivalent
36.87o or 36o 52’
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(i) Marked Angle between BCHG and ABCD
(ii) Calculate the angle
20'51or34.51
4
5ABGTan
oo
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10
6 DCETan(b)
ECD/DCE(a)
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Kesilapan Pelajar:
(a) Tidak menanda sudut / menyatakan sudut
(b) Tidak semestinya menggunakan Tan.
(c) Pengiraan sisi yang salah
(d) Membulatkan Jawapan.
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spm2011
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