1987-10-15 — Page 20

華僑日報 All

Austria thought that

Serbia planned the

aasassination. In

fact, Serbia had

nothing to do with it.

報日僑華

頁四第張五第

日三廿月八年卯丁曆复

WAH KIU YAT PO

MAP 3

(aee map:5).

1988中學會考

Hungle

·Prissio

MAP

Germany

試題預習專欄

Austria

Brigia Germany

Serbia

歷史( 三)

明懑出版社

MILL & DALE PRESS

Revision Exercises

for

Cert. Exam, (1988)

HISTORY (3)

EVENTS LEADING TO THE OUTBREAK OF THE FIRST WORLD WAR IN 1914

1. Assassination of

Archduke Ferdinand

of Austria - In late June 1914, Archduke Perdinand, who waa an Austrian prince, went to Bosnia

(see map 1), and was

MAP 1

Britain

Prane

APHICA

AUSTRIA

BALKAN PENINSULA

Mediterranean Sea

Rapto

Black Sea

assassinated there (in the capital of Bosnia called Sarajevo). Bosnia wan a small country in the Balkans and was occupied by Auatria. Serbia was geograph-

doally near Bosnia,

but Sarlia vas an....

-Independent country.

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Nevertheless, Austria

decided to use this

chance to teach

Serbia a leeson.

2. German support for Austria - By 1914, Austria was Germany's only reliable ally, Other powers, including Britain, France and Russia, were allied to each other against Germany and Austria. So Germany gave unconditional support to Austria (see map 2). William II (Kaiser of Germany) thought that this would frighten off other povers from helping Serbia, but he did not expect s largerscale ver.

MAP 2

GRIMARY

3. Austrian ultimatum

to Serbia - Austria

was encouraged to

make war on Serbie by Germanya support. She sent an ultimatum td Serbia, An ultimatum was an

official warning. If Serbia did not accept all the terms of the altimatum; then.

Austria would declare war on Serbia. In the end, Austria really declared war on Serbia when Serbia refused to 'accept all the terms, 4. Russia preparing for var Russia did not want the Halkana to be under Austrian and

·German influence, Both Britain and France vere Rassis's alliés, and Russia prepared for var (by, fully mobiliaing her armed forces). A full mobilization did not necessarily mean war 'but it made a peaceful:

settlement more

difficult to reach. Austria and Germany:

became alarmed. (see

5. Germany making var on

both Russia and

France - Before 1914, Germany had worked out a military plan. She planned first to defeat. France and then to turn east to fight Russia. Let us remem- ber that France vaS Russia's ally, and in a general war Germany believed that France would support Russia, Russia was backward and could mobilize her forces only slowly, So Germany could deal with France before dealing with Russia. However, now that Russia had mobilized her forces, Germany believed she must act quickly. Otherwise her war plan would be useless. Therefore,

Germany declared war on both France and Russia, (see map 4)

MAP 4

Britain

GY

6. Britain's entry into war - The neutrality of Belgium was very Important to Britain This was because any power could easily. invade Britain from a bane in Belgium. To attack:Prance quickly, Germany must go through Belgium, as the border between Germany and France was heavily: defended. Thus when German- Boldiers marched

through Belgium (so. as to attack France), Britain declared var on Germany. All European great powers, except Italy were

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日聯安54442 21 日日公司544 16 15

在新冷氣機租售

at yar

CAUSES OF THE FIRST WORLD WAH (1914-1918) The causes of the First World War (1919~1918) were of 2 kinds: underlying and immediate,

1. Immediate cause8

You have learnt earlier that the great powers (Germany, Austria, Britain, France, and Russia) each took some steps in the summer of 1914. In the end these steps led up to the out- break of a world war. So each of the great. powers shared some RESPONSIBILITIES for causing the war. By "immediate causes" we mean these "respon-

sibities"

2. Underlying causes

Historians think that the great powers took the steps because of aome long-term

由新事理各欸酸枝花梨

冷氣租售

historical forces that existed in Europe long before 1914yyauch na- militarism, national- iamy colonialism and so on. The Alliance System that we learnt about last time was one-such:long-term force too. These forces affected the great powers alike though in a different degree. In trying to give mure thorough explanations)/ for the Pirst World w War, historians look at the conditions of Europe before 1914. These forces and conditions formed the "underlying causes"..

A two-way analysis The " immediate cause迢 and "underlying....... causes of the First World War.were: related:

Questions

"Did war break out

in 1914.

678033314624

Long before | 1914

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some underlying forces.

●四期星

日五 十月十年七八九一曆公年六十七國民華中

so that du k

i-e.7k+2k-560

Butik

k(A) ==

and conditions already made the relations between the great powera very:

that a minor so.

incident such as the assassination at Sarajevo led to.a World war in 1914."

Question::

"Were the forces and conditions before 1914 alone sufficient to laud to a world war?"

Answer:

"No. There forces and conditions made var likely but not absolutely unavoidable."

question:

"Why was there not a

world war in 1913, 1912 or 1911?"

Answer:

"Because the

underlying causee alone could not lead to a world war?"

Question:

"Why was there a world war in 1914 then?"

Answer:

"Because of both immediate causes and

underlying causes."

附加數(三)

明測出版社

MİLL & DALE PRESS

Revision Exercises

for Cert. Exam. (1988)

ADDITIONAL MATHEMATICS

·(3)

Exercise.

and Yak2

(+)

(x)

yub2nca(Mu) (Ans.)

2. For what values of k will the equation

kk+a"x`x+a

have itn

roots equal in

magnitude but opposite

in sign?

Solution:

1 11

長+k-*-*(8+日)(五十日)-

kx(x+6)

»k{k+s) {x+0)+kx(k+8}

2

十六萬十日本小kx+akx

-K2+42+&&x+a2k+x+&kx

• . {2k+o) x2+(a′′-2k2)x-

ak2+42k-0

Let p be one root of this equation, then the other root must bep since the roots are equal but opposite in sign.

aus of roots=pe(up)

0-

-(2-2)

2k+4

(a2-2k2)

24

kete or ta

(Ann.)

3. If xie real, prove'

that the expression

2

x-3x+1 muat lie

2x-3x+2

between two numbers.

Solution:

Quadratic ution-

Let

then

Worked examples

1

Given that Cande

are the roots of the equation ax

and£:p= x:

that λúb

Solution:

Let k

633236451835

性迎大小工国遊。

豐年蟲卵

裝 0

蠟修

2x-3x+2

-3x+1=k{2x2-3x+2)

i.€. (1~2k)x ́-(3-3k)*,

(1-2k)-0

since" the roots are

real, we have;

2

[-(3-3k)}^—4(1~2k)

(1-28)7:0

(3—3k)=-4(1-2k)2 > 0 9-18k+9k ́~b+16k¬16k-

-7k-2k+530

裝修工程

(7k-5)(k+1) ≤ 0 -16 x 12

', the expression must.

line between -1 andÊ

(ANā-)

Exercise 2

1. If the roots of the

equation xu-ex+bu0

are

two consecutive integers, prove that

2 a=40+1.

2. If x is real, prove that the expression

9-5

must lie

between two numbers.

3. Find the value of k

so that the equation. ax-c_k+1 will have

xbx

"k-I

equal bat opposite

(in sign) roots.

2 2 4. Given that pz +qy 1

end px+qyal

(i) Find a quadratic

equation in x in terms of pand q. (ii)Prove that the

- roots of the

quadratic equntion in (i) will be equal if p+q=1.

5. Prove that, if a, b and care real, the roots of the equation:

(b+c)xx+(c-a)x+(日-b)-0

are also real.

6. For the equation

the

商業

15.2

~+px-8=0,

product of the roots exceeds the aum of

the roots by ..

(i) Find the value

of p (ii)Benge: find the

roota' of the equation.

-Given that the

quadratic equation

(x2+x+1)+x2-3x+1=0

a) Pind the condition

satisfied by if Cthe equation bag:

real roots. (h) Find the condition

satisfied by Xif the equation has one root equal to:

Find the second

root fox (b)...

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