1984-03-19 — Page 22

-期星

z=cose+ising... (1)

=(cose+isine)"

=cos(−6)+isin(-0)

cose-isine..(2)

2c0s8=z+z71

and z+1

頁二第張六第 日七十月二年子甲曆夏

WAH KIU YAT PO

cos3x=cos(+2x)

報日僑華

1984

中學會考試題預習專欄

fro- (x2 - 2)(x+

d

3x=2nq=(B+2x)

f(x)dx

x=2n+Д••

附加數

(4n-1)π

(廿六)

10

明德出版社高樹方提供資料

#54

ADDITIONAL MATHEMATICS

for

(2)

21917

(26)

is a solution

also

x+b=0

S.P. KO

MILL & DALE PRESS LTD

L+B=a

2

(2)

(Ans.)

of the equation

(Ans.)

Other solution are:

(from (1) when

n=0)

or 126

(from (2) when

n=2)

Tie

Fol

generated

dx-F

4

_ (b2+1)}{a*-2b)

(5+2x

_h* +262+1

__ (b2+1) 2

the new equation is

(b2+1)(a2−2b)

(241) 20

b2x2-(b2+1)(n2_2b) x

=0

Since this equation has equal roots, then D=0,

1.0.

[-(b2+1 ) ( a2 −26 )] 2

4(b22) (b2

a2-2b)2-4b2 (a-2b)-(2b)-0

(a-2b+2b)(8.

2

(a2-4b)=0

or a4b(Ans.

-2

1984

中學會考試題預習專欄

英文

Сај

-[3x34 (3)]

53π cubic units:

·(Ans.)

sin7x+sin5x+sinɔ̃x+

sinx=0

(sin7x+sinx) + ( sin5x

+sinïx)=0

)dx

'2sin(?*+*)cos((X+*)+

(5x+3x)cos(5x~3x)

0*

sinixcos5x+sin4xcosx=0

sin4x=0⇒ x=0

360°

cos(180°,

3x=360°n2(180°

n+180

x=90°n+45°

-45 135°

or 3159

n=0, 1, 2,

360°n-180°

180°-90°

-90 For :270

for n=0,

Put

(b) steal

900

135 270", or 315°

(Ans.)

--sin2x =sin(-2x)

He has nun away with all my

money.

(c) elope (with someone of the

opposite sex)

He ran away with bis friend's wife.

(廿六)

4. run down

立基出版社提供資料

ENGLISH [26]

Ronald Chiu

Foundation Press

Dear Students,

Today I would like to conclude the

list of phrasal verbs.

As I have said, the purpose of learning phrasal verbs is not just for HKCEE English paper I for it is an essential part of the living English language you have to master:

Study the following examples and based on each of them niake. three sentences on your own. Try to use more phrasal verbs in your conversation and composition practice.

See you again next week.

Run

1. run after chase, pursue

The cat ran after the mouse. 2. run away flee; try to escape:

The thief ran away when he saw the policeman.

3. run away with

(a) = (of emotions, feelings, etc.)

become uncontrollable.

Don't let your temper run away with you.

(a) disparage; speak ill of

He is always running down his

bass.

=(of a clock, battery) stop working

ma

The clock ran down hours ago. The battery has run down it needs recharging.

be in poor health (after over- work, illness, etc.). **

Because of overwork, he is run down.

NOTE: It is often used in the

passive.

5 run into

(a)

collide with

The bus got out of control and. ran into a lamp-post

b) meet unexpectedly

I ran into an old friend this morning.

6. run out of have no more supplies

of

His car has run out of petrol.

7. run over

(a)

(of a vehicle) drive over

His car ran over a dog.

(b) = (of liquids) overflow

The water has no over the

(iii)

Now, sin2x+cos3x=0

2sinxcosx+4c0s x-Jcosx=0 cosx 2sinx+4cos x3} 0 coux 2sinx-hsin x+1)=0

Now

cosx=0 or

22 4sin

14/5

2

1=0

2−√4-4(4)(−1)

2 x 4

is positive,

(Ans.)

∙B (6,0)

-8x-7y+12-= 0)

A and B, y−0.

-8x+12=0 -2)(x-6)=0.

A(2,0), H(6,0)

(Ans.)

At C and D, x=0

373+12=0" "(y-3) (y-4)=t) ¤(0,3), D(0,4)

is a

centre ((4,7)

Since AP diameter /B-90°.

Pis (6,x) Now, (Slope of DP)x

(Slope of AD)=-1

x=7

(6,7) (Ang.) Slope of TP

equation of tangent TP is given by y—7——— (x−6) 7y+4x-73=0

dike..

(Ans.)

8. run over/through = examine quickly I had to run over/through the book in an hour.

9. run through waste; squander

He has nurt over his whole fortune.

Take

1. take after resemble in features or

character

He takes after his father.

2. take back - withdraw (remarks,

accusations, etc.)

I admit I was wrong; I take back what I said.

3. take down write down (dictated

notes)

The policeman took down my statement about the accident.

4. take for mistake a person for

someone else

I took you for your brother.

5.. take in

(a) deceive ite

I was completely taken in by lus story.

(b) understand

I could not take in what he meant.

=(cose+isine)" =cosne+isinné....(3)

=cos↔-isinno....(4)

(3)+(4):

2co@n@=2+Z

(3)-(4)

21sinne=z"

(b) (2ísinė) (2cose)”

2

· ( z − 1 ) ( z + 1)2

6

~ ( z − − )2 ( z + — ) ?2 ( z − − )

-(-)(2-1)

=8cos20-10.

écos 0.

-12g [5-4cos20-4costę

+úcosbe-cos84]

(Ans.

de

(5-4cos20-4cos40 +6c0a64-cos80)de

-2sin29–sin40

+singe-since

經 濟

(Ans.)

(廿六)

ECONOMICS (26) K.E. WONG & L.1. GIAN MILL & DALE PRESS LTD.

Give the reasons for the rapid growth of Hong Kong's external trade. What are the difficulties pie encountered by ilong Kong in her export öf domestic products? Give examples. Hong Kong is a British: colony and is situated at the mouth of the Pearl

River, a a gateway of

China. Being also located. at the midway of many sea routes, she handles trade between China and the West. Her deep, sheltered harbour together with other facilities enable her to become a major

o. take off···

remove (a hat, clothes, etc.) He took off his hat when he entered the room.

NOTE: When used of clothing, 'take off is the opposite. of "put on. (b)(of aeroplanes) leave the

ground

The plane for London took off at ten o'clock.

7. take on undertake (work, respon-

sibility, etc.)

He took on more work than he could manage.

8.. take over = assume control of

When his father died, he took over the family business.

9. take to like (at first meeting).

I took to her as soon as we met.

10. take up

(a) = occupy (time, space, etc.)

My job takes up most of my.

time.

These boxes takes up a large space.

(b) begin (a hobby, profession,

subject for study, etc.)

He has taken up tennis recently. When he left school, he took up teaching.

At the age of six, I took up the study of English.

Talk

日九十月三年四八九一屡公年三十七國民華中育教

port in the world. The

laissez faire policy

(with minimum government

intervention) and the

low tax here are additional factors for the emergence of long Kong as an entrepot trade centre.

Since 1950, attempts. in industrialization were proved to be successful. After the Second World War, Hong Kong started to export her goods to those foreign countries which were in shortage of consumer goods. This directly helped to increase the external demand for Hong Kong products.

Later, the embargeo against China provided the opportunity for long Kong to become a source of Chinese crafts to the United States. On the

other hand, the Common- wealth Preference also contributed to the growth of the domestic exports of Hong Kong. There are many import-export firms having established

commercial relations with other countries and foreign firms. Moreover, the

presence of developed financial institutiors (e.g. banks and insurance companies) as well as excellent transport and communication, port and warehousing facilities etc. likewise have help to increase the domestic

exports.

In recent years, products from Fong Kong have attained some quality standards. There are made possible by the imported technology, the presence of experienced industrialists, technical training facilities and st industrial promotion. The products of Hong Kong are. fairly cheap because of the relatively cheap labour and attempts to raise productivity. Furthermore, trade promoted by the govern- ment and other agencies e.g. Trade Development Council and tire Hong Kong Export Credit Insurance Corporation. All of these contribute to the growth of the domestic exports of Hong Kong.

The rapid growth of imports, on the other hand, was attributable to Hong Kong's reliance on

imported foodstuffs; raw materials and capital goods and her rapid growth of population and industry. The situation of practically no festriction on imports in Hong Kong also contribut- ed to the growth of imports

1. talk over = discuss

I want to falk over this problem with you.

Think

think about of

consider.

We must think about the matter..

I'm thinking of going to Europe for my summer holiday. (b) have an opinion about

What do you think aboutjof my new dress?

2. think of = remember

I can't think of his name at the moment.

3. think over = 'consider seriously

I've thought the matter over and reached a decision.

Furn

:

1. turn down refuse, reject

He asked her to marry him but was turned down.

The conference turned down a number of unreasonable proposals.

He wanted to join the police but was turned down, because. of poor eye-sight.

NOTE: It is often used of an offer, application, applicant, a request, proposal, etc.

2. turn on/off switch on/off

Please turn off the lights before

Difficulties encountered by Hong Kong are:

Trade barriers, such as tariffs and quotas are imposed on Hong Kong is hampered. Keen competition comes from other neigbouring or developing

countries e.g, Taiwan, South Korea and Singapore, which supply and export cheaper products,

3. The rising rents.

wages and raw material cost in recent years result in the

7

increases in the costs

of production for local products..... The Commonwealth Preference is cancell- ed and this has weakened the competi- tive power of long Kong's exports. Economic, fluctuations in the world, V especially in the major markets of Hong Kong, affect. adversely the demand for the exports of Hong Long,

The monetary fluctua- tion in the world is another problem that adds to the difficul- ties affecting Hong Kong's exports.

The present existed training facilities.

for industries in Hong. Kong are not adequate. Since Hong Kong relies heavily upon other countries for the supply of raw materials and capitāl goods, the fluctua tions in import price means that production costs are unstable lience, to maintain relatively stable

price for exporte be come's quite difficult and this will affect the demand

of exports in an unfavourable manner.

Hong Kong's exports. have been concentrated

few markets and few products. Thus, economic recessions in those countries and decrease in the demand of those products may turn Hong Kong to a dangerous position. since Hong Kong is so export-dependent. 10.Because of the lack

of natural resources and the absence of a Farge domestic market, Hong Kong is in a weak bargaining position and often has to accept concessions which are unfavourable to her. export position,

you go to bed.

· She turned on the television and sat down.

NOTE: It is often used of lights, radios, taps, gas or electric fires, etc.

3. turn out

(a) = produce

This factory can turn out 20 cars a day.

(b) prove to be

Don't worry. Everything will turn out all right.

(c) empty,

He turned out his pockets to: find some change..

NOTE: We turn out' a drawer, one's pockets, handbag, etc when looking for something.

4. turn over.

(a) = (of vehicles or boats) upset,

capsize

The car struck the wall and tumed right over."

A big wave turned the canoe over

= (of people) change position in order to lie on the other side It was late at night. He had not yet fallen asleep, turning over. in bed from time to time. tum up (a)

appear, arrive

Has she turned up yet?. She turned up late as usual.

(b) = happen

Who can say what will turn up tomorrow.