1977-02-28 — Page 20

報日橋華

襄四第張五第日一十月正年巳丁屋事

WAH KIU YAT PO

Ans.

·期星

-314-41-31+1 √41

−(3+√41)i

and zz

។

1977中學會考試題預習專欄

明德社主編

(2 + 2)2 = z3 +3 z 2z

+ 3zz

23+23+322 (2+2)

the roots are

(-2c050)3

(~3+41) 1

(cos +isino)3.

Ans.

+(cose-isine)

3

b) iz2 +

魯榮光。

acos e

+3(1)(2coso)

2

21

英文(十七)

English (17)

General English

ARTICLE

Here I would like to deal with only the most important points in the use of both the definite art- icle ---THE and the inde- Finite article.---- A or AN Minor points will not be discussed here as you can find them in most grammars on the market, or in use.

I do not intend to give 'rules' as I consider most of the rules are of no practical value. If you look for any rules, look for them while you are read- ing. Memorizing all the rules is not necessarily taken to mean that you know how to use THF, or A, or AN. Therefore, 1 just want to point out some points that students often neglect, or carelessly overlook, in the use of articles.

1. to watch television.

2.

e.g. I vatched televi– sion after dinner. Wrong to watch the tele- vision.

to olay basketball, football, table-tennis e.g. We played football after we had finished our work.-

Wrong: to play the foot- ball.

3. to play an essential

part, an important part, a very important part. ++ the article cannot be

be omitted.

e.g. The newspaper plays an essential part in mo- dern communication

4. to lay the piano, the violin, the guitar.

e.g. My sister plays the piano very well.

Wrong: to play piano

5. After dinner, lunch

breakfast; or before

lunch, dinner, breakfast. 44 but

The dinner is to be held.

at 6:00p.m.

€.g

A) After lunch, we went

=cos30+isin30+cos30—isin30

+6cose.

#2c0$30+6cosỠ

cos304cos30-3c050

(z-2)3

-3z

Ans.

- z3-z3-3 zz (z−ž) (2isine) 3

−5 +√25–4(i)(−1)

5+√21

21, (-5+√21)i

21(1) the roots

(5+21)1 (21)1

=(coserisine) 3-(cose-isine)33c) iz

-3(1)(2isine)

-81 sin

cos30+isin30-cos 30+isin30

-6ising

=2isinge - 6ising

singe 3sine-4sin

c) (z+ z) 5.

2 =

Ans

+ 5%

71 0

21

-5-3-513

21 (-Sti√3)1

21(1)

the roots are:

-13+52

13+51

Ans.

Ans.

2

地理科(十六)

5+5a+z+10z3z2+ 10z2z3 +5z24 + 25

Ans,-

z5 +5 z ż { z3 + 2 2 2 + 2 z z 2+z3]

= zɔ+z3+5zz[z3+j3+22z(z+z}} ̧

(2cose)5

=2c0s50+5(1)(2cns30+2(1)(2

cose)] 32cose

=2c0s59+10cos3.0+20cose

.*.16cos50

=cos50+5(4cos 0-3cose)+10cose cos58+20cos 8-15cose+10coge .cosse 5cose-20cos30+16cos 0.

let z

Ans.

cis(360°) cis (360°)

5 cis(720P) vhere n = 0; 1, 2, 3, Let the roots be z6;

23

and

for n

n = 1, Zq

Z。 = ciso° = 1+01 - cis 72°

= 0.3090+0.95111

n = 2,

= cis144° Z2

-0.8090 + 0.58781

= cis216°

n = 34 23

-0.8090-0.58781

n 4, 2 = cis288°

= 0.3090

shopping.

B) Breakfast is at nine

o'clock.

C) when do you have din-

ner?

b) Let

Exercise (General)

Fill in the blanks with A An, or the. If no word is. needed, put X.

According to (1), Medical White Paper, ve should have 5.5 hospital beds for every 1,000 DEODle by 1981. To achieve this, (2)

Government will build Four hospitals in Shatin, East Tuen Mun, (3). Kowloon and Shaukiwan in. (4)

next 10 years. We shall also need at (5)

least 100 more doctors to serve these hospitals,

But as (6)

man of (7)

Chair Medical De-

velopment Advisory Commit- tee pointed out, it is. almost impossible to hire

Overseas'doctors.

(8.)) who, in any case, do not understand (9), ese. (10)

is to train

doctors.

Canton-

alternative

(11).

་

local

Unfortunately, (12),

Uni-

faculty of (13),

versity of Hong Kong is un-

able to meet (14)

need

with its limited capacity.

(15)

second medical

school is needed.

0.95111

= −81 = 8(-i). = 8cis(270°+360n° )

270°+360° 3/8cis(

3

2cis(90°+120°) where n = 0, 1, 2, Let the roots be zo

24 and 22 then

for n = 0, 2, 2cis(90°)

21

n − 1, 2, = 2cis (90° +120°)

= 2cis210°

2(~3 - 21). - -√3 ï

2cis (90°4240o }-

n = 2, 22

= 2cis330° = 2(2

i

20) 4 Let z

=-2-2√31

i)

= 4cis(240°+360°. (240° +360°) z = 4cis( 4

√2cis(60°+90n°)'

where n = 0, 1, 2, Let Zo

and

Z3 Ziq x 22 the 4 roots, then

for n= 0; Zá =√2cis(60°) =√2(

=

+

are

√2cis (150°) (+2)

for n = 2, 22 = √2cis(240°)

- √2(-2-1√3)

n = 3,

=

R2(

附加數學

(十六)

岑俊彦•

Additional Mathematics(16)

Solutions to Exercise 10

z = cose + isine

= cose isino-

-

z+z = 2cosë, z – Z – 2isine

Zcis(330)

오글)

3a) 22 + 317 + 4 = 0

Using the formula for

quadratic equation, we have

2 #

−3i± √(31)2 - 4(2) (4)

2 X 2

李婉儀△黎仲豪

ANSWERS:

Geography (16)

27: The diagram is an example of a mixed farm, Mixed farm-- ing is a common feature in the whet belt in Australià. In recent years, most of the farms there combine extensive wheat farming with the growing of other crops and the rearing of sheep either for their wool. or their meat. hired farning is practised there because of the following reasons:

A. In the farm, cultivated land is divided into paddocka up to 42 hectares in size. The paddocks are used for the growing of wheat and pasture, and some of it is left fallow. It shows that crop rotation and land rotation are most probably found there. The growing of pasture grasses" in rotation with wheat checka soil erosion which resulted from monoculture. In mono- culture, the same kind of crop is grown year after year on the same piece lf land. After a certain period, the soil fertility will be deflect- ed and the yeild of the crop. will become lower and lower.. By the rotation of crop with fallow periód every several years, soil fertility can be retained and a higher wheat yield is possible.

B. It also leads to improved pasturë, for sheep rearing. C. The diversification of farming practice not only

•afeguarda but also increases the incomes of the farmers. Even though there is a crop failure the loss incurred can be compensated for by the male of wool or vice versa. ersa.

D. Sheep can graze on the wheat stubble.

E. The sheep grazing on the land also produce waste products which are good' fertilizers for the soil.

F. The work on the farm is spread evenly throughout the year since wheat is sown in late autumn and winter and harvested in summer, while shearing and lambing takes place in spring.

b. The main characteristics found in this fürm which can- not be found in an average farm in Hong Kong arei

A. This farm, with a total area of 275 hectares, is quite large as compared with those in Hong Kong. bany farms in Hong Kong are less than one ha..

B. The land of the farm is divided into paddocks in which a single type of crop is grow. In Hong Kong, one may find several different types of crop growing on a small plot of land,

C. Crop rotation and land rotation are practised there. Some land is left fallow for the recovery of fertility. In Hong Kong, except the aban- doned land, land belongs to a farmer is fully utilized, The harvest of one crop is immediately followed by another. D. The wheat grown on this farm is grown as a kind of commercial crop, while wool

日八廿月二年七七九一腿公年六十六国民载中 ★教儒華

of the sheep which fed on the pasture also enters internat- ional trade. The products

from an average farm in Hong Kong, however, account for only a small percentage of local consumption.

E. The standard of living of the owner of this farm is high while in H. K., farms are too. small to be worked at a profit.

F. This farm is highly mechan- ized, wheat is harvested by combined harvester and wool sheared by electric shears. In Hong, long, even small. meshines are not widely used, Parmers keep buffaloes for pulling the ploughs.

Question for Next Week: 23. What are the factors en- couraging the development of dairying in New Zealand?

6. Draw a map to show the

distribution of dairy cattle

in New Zealand and account for the distribution

**ttern.

世界歷史 (十六)

·胡應亮

WORLD HISTORY (16)

(1) What was meant by "kultur-

kampf"2

(2)

A a social movement in

France aiming at taking revenge against Germany. B.a cultural movement in

France that finally led to the separation of Church and State in 1905. C.a campaign against the

Catholic Church in Germany launched by Bismarck.

the name of the auto- biography written by Adolf Hitler.

E. the name of some conser-

vative tendencies of

thought from 1919 to 39. It was said that Germany's comparative late entrance into industrialization was an advantage rather than a handicap because........

-it enabled her to start

with the most modern machinery and methods, free from trial and error.

it freed her from being hampered by traditional- ism and the drag of large capital invest- ment in outdated and useless equipment.

between them might lead to what Bismarck hated to aee, European territor- ial changes.)

iv. to ensure that Germany

would at any time be

one among any, allied three of the Five Great Powers.

v. to keep the supremacy of Germany aṣ it was in 1871 in Europe.

(5)

A. i,ii,iii and v only. B. 1,111,17v and v only. C. ii,ili,ív and v only. D. i,ii and v only. E. All of them.

After 1890, when Willian II came to rule Germany, there were rapid develop- ments of the navy. This. was due to

1. increased imperialist

activities that Germany engaged in.

ii. heightened nationalisa that demanded competi- tion with Britain.

iii. the efforts of the

Emperor William II who was fond of adventures. iv. the activities of

Admiral von Tirpitz as secretary of state for the navy-

discovery of new routes to China and the Far East.

A. i,ii,iii and iv only. B. iiiii,iv and v only. C. 1,iii,iv and v only. D. 1,11 and iv only. E. All of them. (6) The following reasons

accounted for the success of the Tsarist government in maintaining autocracy in Russia in the second half of the 19th century. the peasants were con- servative and ignorant, while the strength of the liberals was weak. ii. history and tradition

of autocracy under monarchs in the past like Peter the Great and Catherine the Great, iii. the peasants conception

of the Tsar as a "Little Father" who was reli- giously worshipped,

iv. the loyalty of the Tear's

assistanta to the monarchy.

v. the control of the Greek

Orthodox Church by: the Tsar.

vi. the Tsar's control of

education throught the Church.

iii. it made her less, depend-vii.

ent on coal and iron for industrilization.

iv. it gave her opportuni- ties to judge and choose between develop- ment models of other countries in the past so that mistakes would not be committed again. A. i,ii and iv only. B. ii and iii only.

C. i,iii and iv only. D. and iv only.

the successful crashing and coercion of liberal

movements by the Tsar. viii. the prevalent opinion

E. All of then.

(3)

After 1871, an undemocratic federal constitution was devised for Germany. It was accepted by the Ger- mans because of...

(7)

i. their traditional accep-

tance of absolutism in the past.

ii. the efficiency of the

new government in unify- ing and consolidating the Empire, so that the people sacrificed liber- alism for nationalism. iii. the development of

democracy in some indivi- dual states and local governments, so that the people's attention was on the local rather than the national level. iv.Bismarck's tactfulpolicies.

A. i,ii and iii only. B. ii,iii and iv only. C. 1,11 and iv only. D. i,iii and iv only.

them.

(4) The following were the

goals of Bismarck's foreign policies:

1. to isolate France so as

to prevent her from waging a "war of revenge" by alliances. ii. to decrease Britain's

fear of the German Empire by not challeng- ing BritiaḤ imperialism and sea supremacy. iii. to keep Russia and

Austria at peace over the Balkana (since conflicts

that democracy could. not effectively solve the problems of the : Russian people. ▲.1,ii,iii,v,vli and

vidi only.

B. ii,iv,v,vi and viii

only.

0. 1,lii,iv v and vii...

only.

D. iv,v,vi and viii only. E. All of them.

Oppositions to the Russian

autocracy gradually

increased. In the main,

they came from:

1. landowners who wanted agricultural reforms. 11. industrial workers

created by industrial- ization, who were attracted to Marxiat. Socialism.

iii. poor peasants who were

oppressed and lived in miserable conditions: iv, middle-class liberals

who wished to extend their economic indepen- dence.

lesser nationalities (like the Poles, the Finns, White Russians) who welcomed the chance to weaken the central government and further their own nationalism. vi. overseas adventurera

who urged the Tsar to open the Black Sea for them.

A. i,ii,iv,v and vi only. B. 11,iii, and vi only. C. i,iii,iv and vi only. D. 1,ii,iii,iv and v only. E. All of them.

1.0 5. A

ANSWERS

2. E 3. E 6. E 7. D

4. E

Page 20Page 21

刊遇車汽 頁一第張六第日一十月正年巳丁歷夏

每分鐘大千轉時產生六十匹馬力

·每分鐘三千五百轉時產生七十磅产

一萬五千港幣左右。

WAH KIU YAT PO