1982-03-03 — Page 24

%(1)2 (1)=xf" x2ay.

真四第張六第日八初月二年戌壬展夏

1982

WAH KIU YAT PO

報日僑華

about y-axis

*+1)* at

tdt

中學會考試題預習專欄

- √√x2 +1 x dx.

附加數

Sttat

(=+)

明德出版社高樹芳提供資料

St2 at

Additional Maths. (20)

S. T. Ko

MILL & DALE PRESS LTD;

1.

(a) Since

Ans

(b) Let I = √3-20

sinxsin5x=> { co84x~

совых) sinxsin5x dx

Putting

Zudumɖx

(3-(u +2)

du

2fu (1-u)

2fu(1-u) du

2√(u-u^^)

du

cosux-cos6x)dx

inx-inox]

+(tainin)-

47

(sin Zein))

-+ ((+ sin sia27)-

(in-sin2)]

(0-(-1)))

1--5-

443)

(b) Let I=

2 2 3

+C

(x+2)− (x+2)

Ans.

蚵

when when

and let si

wher

dt

and when

also (sinx)=(

eosx

Coax

dt

An's

Alternative Method:

Lain xcosxdx

Ans.

-fain xd(aiux)

(*• d(sinx)=cosxdx)

[pin']

-(1-0)

(cos4x+combx)dx

-[in4x+Binox)

¿(sin]-sin0),

(sinsin)

4

Since

Co85xcosx

•† ( c 0 8 4x + c o s b x

cosxcos

--

(cosx+cosx) dx

Let I

and let t

dt

C

Ans,

dx

2x

J (t2t at

Now, x 2sine,

dx:

when x-1

when xal, fot

2cos0d9

20086

de

de

[0]

Volume formed by rotating area OAB about x-axis

dx

8

cubic units

Ans.

Volume formed by rotating area OAB about y-axis

Volume formed by

rotating area OBAC

-

Volume formed by

about y-axis

rotating area

OAC

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0:

volume of OBAC

vol of cylinder)

dy

17 cubic units.

required

歷史

(二十)

明德出版社胡麖亮提供資料

History (20)

Philip Y.L. Woo

Mill & Dale Press Ltd.

1. Early career of Hitler

(a)In 1921, Hitler

became leader of the Nazi Party based at Munich. Then

he began to establisu branches in other places. In 1923, the Nazi Party attempted a revolt at Munich, It was known as the "Beer Hall Putsch" (A putsch is a revolt.) The failure led to Hitler being

arrested and

Bentenced to 5

years! imprisonment, but he was

released after 9 months.

(c)Knowing that it was

difficult to overthrow the Weimar Republic by armed force, Hitler tried the other method trying to Win more followers (1.e. Nazis) and obtain power in political ways. (d)Before 1925, Hitler

depended on the Socialists for.

support. After that, he allied with the German

People's an

extreme rightist organization. (e)In 1925, Hitler

vrote the Mein

Kampf (My Struggle)

In it he outlined

his programme for

三期星

and colonizing them for the German people.

The rise to power of Hitler, 1930-1933. (a)The Great Depres-

sion of 1929-30 hit Germany badly.. Unemployment grew rapidly. The coalition governe ment fell from power, and President

Hindenburg began using his special powers in times of energency. He appointed Bruning

as Chancellor, even though Bruning did not enjoy support in the Reichstag (parliament).

(b)Many German people

lost confidence in.

moderate parties and

and began to vote for extremist

parties (ie. Nazis

and communists). By mid-1932, the

Nazis became the largest party in the Reichstag, obtaining 36% of all the votes, followed by the Social Democrats. and Communists.

(c)Papen was appointed Chancellor (follow- ing Bruning) in May. 1932. He could not get support from

the Reichstag and had to depend on the President's

emergency powers for staying in rule.

(d)As the political

situation grew

worse (i.e.

moderate parties.

failed to find the necessary support

for forming a

government), President

Hindenburg and other people

thought of using Hitler's popularity to form a govern ment while still retaining real power from behind: the stene.

(e)Hitler was

appointed Chancellor in January 1953, Papen became Vice- Chancellor. (f)Rightists like

Paper thought that they could tame Hitler and controlled him like a puppet. But soon Hitler got rid of them all and created at dictatorship,

obtaining power and 3. Reasons for the

making Germany

strong again:

i.Union of all

Germans to form a greater Germany, including Germans in Austria, the Sudentenland (in Czechoslovakia),

etc ii.Abolition of the

Versaillea Treaty, for example, the end of reparations, the return of the former German colonies, and rearmament. iii.Anti-Semitism, that is, anti- Jewish laws. iv.Anti-Communi am

v.Lebensraum

(living space) in East Europe, conquering

countries there

success of Hitler (a)The various

weaknesses of the Weimar Republic were the first reason. (They were discussed in detail last time.) (b)Serious economic

problems increased. the popularity of the Nazis, as more and more Germans lost confidence i the ability of moderate parties in overcoming these ccononic problems, for example, during the Great Depression, when the Nazis obtained

many votes.

(c)Hitler promiseda

glorious and strong. Germany for the patriotic Germans.

As it was noted

日三月三年二八九一届公年一十七國民藥中 背敎港華

last time,

the

roots of democracy

were shallow in

Germany. Many Germans were: willing to give up democracy (as Germany's enemies vere democracies

too, for example, Britain and France) and welcomed at dictatorship if the dictatorship could make Germany strong again.

Hitler had personal qualities that appealed to many Germans. He could persuade people with violent speeches. And he made use of propaganda to influence people too..

(e)Leftist parties failed to unite

against Hitler and prevented him from obtaining power. The USSR forbade German, communists to ally with the

socialists in

defence against the Nazis. (f)Rightists like Papen

underestimated

Hitler. They

thought they could make use of him to gain support. In fact, Hitler obtained power through them, for indeed it was the rightists who invited Hitler to

become Chancellor.

經 濟

(+=)

王啓光

明德出版社陳勵德提供資料

Economics (20)

K.K. Wong & L.T. Chan

MILL & DALE PRESS LTD,

The National Incone (cont'd)

Use of National Income Statistics

National income measures the flow of goods ans services produced, its level can be taken as an indicator of the well-being of the

economy.

The following uses are the most important: a. It can be used as a basis for assessing and comparing the standard of living. When considering the standard of living of a people at any given time we must remember the difference between money incomes and real incomes, and must remember the distribu- tion of income. A wealthy nation may have its wealth distributed evenly or unevenly. In comparing changes in the standard of living over the years the total population affects the average. income, so that average income per head will be a more valuable indication of living standard than total National Income. It can be used as an aid to government in planning the economy. The national income figures are useful base from which to start the control of

ມ :

a

the economy. By

measuring what that: income is we can see

報日僑華閱訂期長請

5 491 18 1

what is needed, and

what is possible to

achieve in the future. The government becomes aware of the growth areas in the economy and the areas where growth is less than average. Limitations of National

Income

Each measure of national income is a rough measure of the level of economy activity of the economy. However, a series of misinter- pretations may result. The limitations are. summarized as follows: a. Information is.

incomplete, some income not being recorded, as for example when a person does a job in his spare time for a friend or neighbour. National income does not include all goods and services as it excludes the value of most goods and services that does not go through markets. Care must be taken not to count the same

article twice, for example, both the raw material and the finished product must not be counted as this. would result in the raw material being counted twice, National income does not measure human welfare and the quality of life. It does not indicate the distribution of income among people. A

transfer of money from

rich to poor by

voluntary contribution

or by government

policies may change.

welfare without changing national income.

Factors affecting the level of national income

The size of the national income depends on a number of factors. They are:

a. A country's stock of

the factors of production. The entre- preneur, Land, labour and capital and their quality, its natural resouces, the skill of its labour, the extent and quality of its real capital, and the amount of entre- preneural ability. For example, the quality. of labour depends so much on the inborn intelligence of the people, that closely relates to the

b

education and training of Labour.

The state of technical knowledge. Nowadays, the technical progress has been improved rapidly especially in those well-developed countries. The most recent development of technology introduces automation to the control of machinery and the adoption of division of labour system.

The political stability in the country. Economic progress is bound to be shown in a country subject to political upheavals. Country

will suffer from

political instability

in her economic

development,

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