10.0 garis dan satah dlm 3 d
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Transcript of 10.0 garis dan satah dlm 3 d
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T
s N
θ
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
θ
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
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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
θ =16
cm
13
V
S U
8
θ
U V
RSTU V U S
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AM SUDUT MAE
A
E M
θ
4
15
ADEF
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θ
A
G
F
E
D
CB
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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θ
N
E
D N
5
6.5 cm
θ
AEC
ABCD
E DEPAN
5tan
6.5 = 37.57
θ =
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 base ABCD.
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' 51or 34.51
4
5ABG Tan
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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