View
221
Download
0
Category
Preview:
Citation preview
8/10/2019 Revision 4 Eng
1/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre1
S5-S6
Revision 4
8/10/2019 Revision 4 Eng
2/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre2
Revision 4
1. Trigonometry
2. Equations of circles
3. Locus
8/10/2019 Revision 4 Eng
3/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre3
1. Trigonometry
A.Graphs of trigonometric functions
y=sinx
y=cosx
y=tanx
8/10/2019 Revision 4 Eng
4/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre4
B.Trigonometric identities
(i) If n is even:
()= ()= ()=
(ii) If n is odd:
()= ()=
()=
Using the graph below, we can determine the sign of the identities above.
cos(270)= tan(9 0 ) =
8/10/2019 Revision 4 Eng
5/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre5
C.Formula of triangle
Area ofABC:= =
=
Herons formula:
= ( )( )( )Where = ++
The sine formula:
=
=
The cosine formula:
= = =
8/10/2019 Revision 4 Eng
6/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre6
D.More about 3D problems
Angle between a straight line and a plane
If line AB intersects the horizontal plane at point B and P is the
projection of A on the plane, then is the angle between ABand the plane.
Angle between two intersecting planes
If two non-parallel planes intersect at a straight line XY and there
are two lines and intersecting at a point such that and , then the angle between the two lines is the anglebetween the two planes.
8/10/2019 Revision 4 Eng
7/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre7
2. Equations of circles
Standard form
( ) ( ) = Centre=(, ), radius=
General form
=
Centre=( , ), radius= () ()
Possible intersection between a straight line and a circle
{: = : = 0
> = < No. of
intersection
2 intersections 1 intersection No intersections
8/10/2019 Revision 4 Eng
8/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre8
3. Locus
When a point moves in a manner satisfying some given conditions,
its path is called the locus.
Distance between (1, 1)and (1, 1)= (1 ) (1 )
Mid-point of the line segment joining (1, 1)and (1, 1)= ( 1
2
, 1
2
)
If AC:CB=m:n, then
= (++ , ++ )
8/10/2019 Revision 4 Eng
9/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre9
MC1.
2.
3.
8/10/2019 Revision 4 Eng
10/29
8/10/2019 Revision 4 Eng
11/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre11
6.
7.
8/10/2019 Revision 4 Eng
12/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre12
8.
9.
10.
8/10/2019 Revision 4 Eng
13/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre13
11.
12.
13.
8/10/2019 Revision 4 Eng
14/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre14
14.
15.
16.
8/10/2019 Revision 4 Eng
15/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre15
17.
18.
8/10/2019 Revision 4 Eng
16/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre16
19.
20.
21.
8/10/2019 Revision 4 Eng
17/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre17
Question
1.
2.
8/10/2019 Revision 4 Eng
18/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre18
3.
8/10/2019 Revision 4 Eng
19/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre19
8/10/2019 Revision 4 Eng
20/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre20
4.
8/10/2019 Revision 4 Eng
21/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre21
8/10/2019 Revision 4 Eng
22/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre22
5.
8/10/2019 Revision 4 Eng
23/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre23
8/10/2019 Revision 4 Eng
24/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre24
6.
8/10/2019 Revision 4 Eng
25/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre25
8/10/2019 Revision 4 Eng
26/29
8/10/2019 Revision 4 Eng
27/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444WHATSAPP5160 6464FB// Dr. Chiu Education Centre27
DSE S6 MATHS SPECIAL COURSE
($200 / 1 LESSON, $380 / 2 LESSONS,$570 / 3 LESSONS,$750 / 4 LESSONS)
($200 / 1 , $380 / 2, $570 / 3, $750 /4 )
12 23 12 3
(Equations of straight lines and circles, Locus)
- (properties of straight line and circle equation)-
(possible intersection of two straight lines, a straight line and a circle)
- (describe the locus of points with algebraic equations)_____________________________________________________________________________________________
12 24 5 8
1
3
1
4
(Variations, Arithmetic and geometric sequences and their summations)
- (direct, inverse, joint and partial variations)- (general term of AS and GS)- (sum of AS and GS)- (sum to infinity of GS)_____________________________________________________________________________________________
12 25 1 4
12
30
1
4
(Inequalities and linear programming)
- (solve linear and quadratic inequalities in one unknown)
- (represent the graphs of linear inequalities in two unknowns on a plane)
- (solve linear programming problems)
8/10/2019 Revision 4 Eng
28/29
8/10/2019 Revision 4 Eng
29/29
HKDSE Mathematics Compulsory Part
_______________________________________________________________________________________
TEL3428 5444
12
31
12
3
12 24 12 3
(Probability and Statistics)
- (understand the concept and notation of permutation and combination)
- (understand the addition law, multiplication law and conditional probability)
- (understand exclusive events, complementary events and independent events)
- (concepts of dispersion, range, inter-quartile range, standard deviation)
- (construct and interpret the box-and-whisker diagram) (
- (understand the concept of standard scores and properties of normal distribution)
_____________________________________________________________________________________________
12 23 5 8
(Complex number, Functions and graphs , Exponential and logarithmic functions)
- (laws of rational indices and properties of logarithms)- (solve exponential equations and logarithmic equations)- (graph of exponential and logarithmic functions)-
(addition, subtraction, multiplication and division of complex numbers)
- (feature of the graphs of quadratic functions)-
(find maximum and minimum value by completing the square)
- (transformation of function)
Recommended