1979-05-28 — Page 36

莫四第張九第日三初月五年未已曆夏

1979

WAH KIU YAT PO

5/2

報日僑

·期星

日八廿月五年九七九一股公年八十六國民藤中 青教僑華

(51

HA+AN

OC

AC

2.929

中學會考試題預習專欄

6

(Ans.

新數學參考資料

明德出版社提供

MODERN MATHEMATICS

SECTION A

1) Since cose. 3 and 6 is in

the 1st quadrant, therefore

2) ZECD = (KID, ERC

(Correct

3 sig. fig.) (Ans

ABCKA ADK

(+43) - (-31-27),

the fixed "sum of

money for renting

height of the

container

BK CK

DK

AK

ZIDA

AB

ABCD

(b) AC

DC and AB///DC

parallelogram.

a boat

number of students.

participate

cost of food

1:41

(31)

(b) Capacity of the

right angled-tri

onstructed as she

in

the figu

DC

w.re" 3

DC

10.

-1 should he drawn

container

(a)(1) 760.

.(1)

† 1 (area

ABCD

(−31-2}) = (51+63)

920

(2)

140 or 287.5

(ing.)

(b) 140 ≤ 6 287.5

(Ans.).

SECTION D

(2)

∙160

(-4) (-8) (4) (-8)

1.4142

.8856

0.(a)(i) the centre is (-1, ?)

AC1 BD

Substitute k,

the length of the radius of the circle

(c)

760 = k1

10 into (1

40(10)

to. 3 sig.

(-20)

tane

√25

(Ana.

(b)(1)

__p)i

43)

360 (Ans.)

the cost of renting

The petrol bill of the

(1)

· ni an

in August

~(p+1}ï ̧ + (4−q)3

the boat Is $360.

(11) When ne 1

(PT+q3)

360 + (1)(0)

370

$200 × (1-10) × (1+100)

$198

(Ans.)

Let ( he the centre of the

circle hence AR is an equilateral triangle

AB

Perimeter of the regular

exaED ARCDEF

Circumference

2xr

2xr

4. The mean of the number

106 [(10x0) + (30x1 )

circle

(45x2) + (10x3) + (5x4)]

[(3-p) - 43]

(x+4)

+[-(p+1)F + (4−q)}

(2-2p)†

(4-24) 6

(Ans.)

20

(d) KA = OA

OR

(x+5)(x−2)

the coat of food for

one student...

£370 - § 360

$10 (Ans.)

Let the number of

students participat

y expenditure - 16n

2 x 360 + (10)n

720

126

(Ans.

height of the

container

depth of water

contained

capacity of the

container

une" "of W

contained

of the capacity of

the container contains

water

Wien

and Q

and

KA-KC

(−7+43) (x1+33) ~(x+1)T + (4-y)}

x) (x−1 ) − y(4-y)

14. (a)

(1) the common ratio (ii) the first term is 36m,

the 2nd term is 12m and

the third term is 4m.

(iii) The required di

∙170

100

(Ans)

Since and are the roots

of the equation, therefore

(1)

(2)

10.

Wher

Wher

6) The length of each side.

of the nc tage

the length of the hypotenuse

eacl

susceles

(2

20

2)2 (-1 √7272

30.

20

170

40

(Ans.)

12. (a) AE

radius of the

large circle

18èm

·AC

(radius of the larg

circle)

(radius of the smal? circle

18 em

54m (Ans.)

(b) Let the required

distance he d metres,

the speed of the boy

be vms

Hence the speed of

3v ms

man

(c) The

point obtained is

120

(a) As shown in the

13 cm.

AABD is a right angled

triangle with right ang

AD

(Ang.)

Venn Diagram above

(i) 280 pupile read at

least one of the

magazines

10 4 20 + 30 = 60

read exactly:

60 pupi

two of the magazines

40 + 50 + 60 × 150

150 pupils rend

exactly one of the

magazines

required probability

12 cm.

(b) Let AÐ cuts TS and TO

at M and N respectively

DM radius of smaller

circle

5 cm

DN

DM 4 MN

5.cn

6 cm

108

54 (Abs.)

the required distance

i's 54m

15. (a) Let the intersection

of the diagonals AC and

BD he

the maxicusy value of

subject to the

syst

2(8)

of contrainta js

70)

T6 (Ans.)

The point obtained is

the minimue value of Ax - y subject to the system of "cantraints, is

Caus,

THE END

·120 400

(Ans.)

10/2

。(a) in

AN ADI - DN

ст

The distance of I. from Pų.