頁四第張六第 日九初月十閏年子甲夏
D. Its area is
初中成績評核預習
decreased by 10% B. Its area is
雄風出版社
4
increased by 10% If 54, then
15m2
數學
(+)
Вл
MATHEMATICS (12)
1. 2xy-2-x2
c. 1
D. 2
A. (x~y)2
E. 1
WAH KIU YAT PO
AR-DQ-PC-BS-2. Find
報日僑華
the area of the square. PQRS,
'areas of the surfaces
A B C of the cuboid are 15, 21, 35.
respectively; Find
the volume, of the cuboid,
六期星
日一月二十年四八九一曆公年三十七國民華中
A. O
B.
easŔ
C. -ceae D.
cose
Etan sinə.
14. The rading of the
sector is cm and
its perimeter is
14 cm. Find, its area.
育教僑華
2
C
ст
D
7
ст
A. 350
B: 36°
F. 10 cm
C. 40°
54
E. 72°.
19. 44
17. In the figure, find-
the length of AB in terms of a
B
B. (-x-y)2
C. (-x+y)?
··D-(x-3)
E.
2. 322x64
A.
C 1.
E. 4
B. D.
3. If the length
parallelogram is increased by 10% and its height decreased by 10%, which of the following is true?
A. Its area remains
the
game.
B. Its area is
decreased by 1%
C. Its area is
increased by 1%
經濟
1985
中學會考試題預習專欄
(+-)
明德出版社(1) 王啓光 陳勵德提供資料:
ECONOMICS (11)
K.K. WONG & L.T. CHAN
MILL & DALE PRESS LTD;
Demand
T. The definition of
demand
The demand for a commodity "does not only means the need or the desire for that: commodity. It refers to the amount or quantity of it that people are willing to buy at various prices. It is the willingness coupled with the ability to buy that commodity at a price..
To distinguish demand from wants and need, demand for a commodity is backed up by the ability to
purchase it. Iu economic theory, demand always means effective demand,
II.Demand Curve
tendency
There is à for a buyer to buy more of a commodity at
a lower price thap at
a higher price.
Individual demand
means the quantity, of the commodity demanded by an individual.
Market demand means that the total sum of demand for a commodity by all individuals in the market.
An individuals demand for “a commodity at different prices. during
given period
of time can be compiled into a schedule.
Price, of
orange
($/per
unit)
1.5
Quantity demanded of Mr. A for oranges per mouth
1.2
#
1.0
10.
0.8
19
0.7
20
0.6
23
0.5
·27
0.3
28
0.2
30
Putting the above. table into a diagram,
a downward sloping curve can be drawn. The curve represents the state of demand at a particular time. The vertical axis refers to the price scale and the horizontal axis refers to the quantity demanded or Mr. A for orange's.
Individual
Demand Curve.
For Grange
20 25 30 35
Quantity demandad of Mr. A. For
The demand curve. clearly shows that the. higher the prices the. smaller quantities would be demanded. It
5. A man sold a car for
$35000 at a loss of
30% on the cost price. What would have been
the loss or gain
percent if he had sold
it for $51000?
A gain of 20%
B. gain of 2%
C. No gain of Lass
D. loss of 20%
E. loss of 24
G, A, B, C are three
circles. If area of A: area of B2:3 and area of Barea of C-4:3;
then area of A:area of
C
A. 2:3
C. B:9
E 3:8
B. 3:4
D. 4:9
7. In the figure, ABCD is a square with AB-7,
slopes downward and it
is moving from left to
right, introducing the law of demand.
The law of demand
states that the lower the price of a
commodity, the greater
will be the quantity demanded. In other
words, the quantity. demanded by an in- dividual or the whole market is inversely proportional to the
price of that commodity.
Therefore, the aggregation of the demand curves of all individuals in the economy is called- market demand curve. Its shape is likely that it will also slope downwards. from left to right, as shown in the below diagram.
P(Price)">
Market
demand
CALFVC
Quantity demandKo a commodity
III. Change in demand
"A change in demand" is different with "a change in quantity demand",
A change in quantity demanded means the changes of the quantity demanded in respect of a range of price changes. It is the response to changes in the price of the commodity and is the movement along. the demand curve'.
A change in demand means that a greater amount or smaller amount of goods, and services is demanded without any changes in the price.
A change in demand involves a shift in the demand curve.
If the curve moves. towards the left
(from MD to BP1) then there is an increase in demand, es shown in Fig.
Price of the commodity
Gauntity demorated, for a commodity
If the curve moves backward from DD to
DDg, it is soid that there is an decrease in demand as shown in Fig. H.
Price of the commodity
Quantity demanded. for a 'commodity
IV. Factors affecting
change in Market, demand.
1.The tastes and prefer- ences of the consumers It is said that the taste and preference of the consumers would
B.
.C. 37
A. 71
B. 92
E. 45
C. 105 E. 142
If
D. 128
then yu
Arrange from
the smallest value to the greatest value if 0 < x <1 is,
· B. = << x << x2 </x
B. X2< =<I</ï
If the value of
2
x+4x-3×2, what is the
2
value of 2x+8x+2?
A. 3.
C. 7
B. 12
B. 5 D. 8
10. In the figure, the
affect the purchinse of goods and services, Every household is different, and even members of the same family have different tastes, and
preferences,
Riligious, social and economic factors .can affect the choice
of consumption in
fand, clothing, living conditions, entertainment and
recreation of the
cítízeza. Since, there
may..have different
racial groups in a
country, the summation
of the individual
demand plays a major
part in deciding total demand for a commodity or service.
Nowadays, consumers
are mostly affected by the advertising
strategies promoted by firms. They may be attracted by the fasionable commodities.
2.The income of the
housebolda
Family income
one of the major. factor in determining family's consumption. Those higher income families will spend more on consumpti en goods. The real income of the families determine the household purchasing power. If there is inflation problem in the economy, thie general price level would be increased, leading to the decrease of purchasing power of the house- holds. As a result, there must be less quantity demanded.
If there is a general increase in the income of the society, an increase in demand will be caused.
3.The necessity of the
commodity
If the goods are necessities and they are demanded by everyone in the society, the charge i demand will be reduced to a certain extent. For examples, food and drink are necessities: in our life. Some goods, such as tobacco And alcohol, are habit-forming
4.The prices of other
goods
If the goods are closely substitute for one another, the price of the commodity would. be seriously affected by the decrease in prices of its
substitution goods. Even then the goods are not substitute to each other, the demand for a commodity would be affected because there are many.. possible altomative e of satisfaction avail- able to the consumers
5.The size of the
population of the country
If the country is denly populated and the population is increasing, many people are going to be fed and clothed. As a result, there are greater demand of the food, drink, clothes and housing in the society, and the demand for necessity. goods will continue, tó increase.
D.
12. In the figure, ym
-
B-186
6. atm-90o
D. 180-a+m
E. 180-a-m 13. tanesine
Cose
6.The distribution income among the population of the government
If government tries to use the tax system to eliminate
the gap between the rich and the poor greater equality would be achieved....
Taxes many be imposed to reduce the demand for, a
commodity, For
example, excise duties have often been
imposed on imported good so a to reduce the demand for them.
歷史(十一)
明德出版社
黃玉瑜 提供資料
HISTORY (11)
VIOLA WONG YUK-YUE
MILL & DALE PRESS LTD,
Describe the background atructure, aims end weaknesses of the United Nations.
The United Nations represented a continuation of the cooperation among the Allied Powers against Nazi Germany and militariat Japan during the Second World War (1939-1945). Since the League of Nationa (founded in 1919), the idea of an internatiunol- body for maintaining peace had not been given. up. Before 1939 the USA tried keep herself isolated from European affairs. However, she was willing to cooperate. closely with western European countries after 1945 against Soviet Russia and her allied stater.""
The idea of a United Nations originated in the Atlantic Charter, of 1941, when Roosevelt of the USA and Churchill of Britain met and agreed to get up auch an international organization.
Then in 1942 the USA, Britain, Soviet Russia and China made a joint declaration known as the. United Nations Declara- tion. In 1943, the same countries made the Moscow, Declaration, in which they proclaimed their determination to put the idea into practice.
In contrast to the lack of planning regarding the establishment of the League of Nations, the Allies made detailed and long-term preparations. for the United Nationa. In 1944, representatives of the USA. Britain, and Soviet Russia (later replaced by China) met and discussed for six weeks on the main
outlines of the proposed world body at Dumbarton Oaks (the name of an estate in Washington), Some joint proposals known as the Dumbarton Oaks Proposals were sent to other governments, though after muchi disagreement. It was only after the Yalta meeting between Churchill... Roosevelt and Stalin in 1945 that agreement was reached. Later in the year, e United Nations Conference on Inter- national Organization wes. opened at San Francisco, The small states: tried to.
change the proposals of the Big Thres (the USA, Britain and Soviet Russia). Nevertheless, after changes in certain
Á.6 cm
B. 8 cm
C. 10 cm D. 12 cm-
15. If dis the distance
between twa given points (a,b) and
(b), then
A. 2(a-h)2
R. 2(a+b)
D. O
2
·E. 2(a+b2
16. The volumes of two":
cubes are in the
ratio 8:125. Find the side of the smaller cube if the larger cube is 15 cm.
AT 6. cu
B. 6 cm aspects, the Charter of the United Nations was created, without muchb change of what had earlier been planned at Dumbarton Qaka and the Yalta. The United Nationa was thus established.
Structurally, the UN has several parts. There iss General Assembly, in which each of the member states. is represented and given one vote. It is the main body of the UN. When important. issues like prate, MAN security or membership are involved, a two-third majority is necessary for any decision. Because all members are represented, it has been called "the town meeting of the world".
Second, there is a Security Council. It is composed of only 11. members, with fïve of
them (the USA; Britain, Soviet Russia, France and China) permanent and the other six elected for 2 years from the General Assembly. The Council has the power to call upon other members of the UN for air, uaval or Tand forces to maintain or restore order. However, all important decisions require an unanimous agreement of all the permanent members plus the votes of two non- permanent members. So the Counsil did not have real, effective poyer.
Third, a Secretariat, consisting of a Secretary-General and his staff, carries out the UN's work. Alag, the Secretary-General, who is appointed by the General Assembly, is responsible for bringing. to the attention of the Security Council any situation that threaten's peace. Fourth, to enlarge the UN's activities to non-political fields.of co-operation. an Economic and Social Council makes studies into and reports. .on.economic, social,
cultural, educational, and health matters. Under this Council there are specialized committees and commissions, such as the Commission on luman Rights, the United Nations Educational, Scientific and Cultural Organization (UNESCO), the World Health
Organization (WHO), the Food and Agricultural Organization (FAQ), or the World Bank.
Fifth, an inter- national Trusteeship Council administers and supervises territories which are placed under its control until stable self-government and... improved economic and social conditions have been achieved. Sixth, an International Court of. Justice acts as the UN's main judicial organ. Finally, an International Labour Organization (ILO). tries to improve working. conditions throughout the world...
see
that
Thus one can the aims of the UN are not only political but social and economic - even cultural in nature, But the most importent objective is keeping of international peace and security by providing a meeting place, where peace talks could be held and actions to maintain peace could' be taken...
And yet, in trying to realize these aims, the UN was "not always
A. asin30
B
acas30° C. atan30"
asin20
sin50 asin50°
sin20°
18. In the figure, ABCDE
is a regular pentagon. LADB-
successful. The UN suffered many weaknesses, Like the League of Nationg, it lacked permanent and effective pover to carry out its decisions. To settle international disputes, the Security Council could use mediation or arbitration, or impose economic or political: sanctiung, or use an "international police force" to be provided by member states. Yet the Cold War, which saw the rivalry between the USA and Soviet Russia (two most important UN members) prevented such a force from coming into being. Nevertheless, in international disputes.
over Korea, Suez or the Congo, the UN was able to recruit troops for intervention,
Indeed, disagreements. among the Great Powers, mainly between Soviet... Russia on the one hand an the USA on the other, handicapped the UN greatly. Soviet Russia always voted, against proposals in the Security Council, Thus the Council could not take measures to preserve peace. Later, tlie General Assembly was "given power to consider many matters previously reserved for the
Securit Council. But then, because of the "one state one vote" rule, the influence of the Third World states (under- developed and developing countries) was dis- proportionally increased. because many Afro-Asian. nations had entered the UN The African states, (for instance, had 30%
of the General Assembly's votes but only 10% of the world's population.
Sometimes even the. finance of the UN. became a problem. When important interests of the Great Powers had been involved, such as the Soviet-American crisis over Cuba in 1962, the UN failed to play any significant part, Peace; was kept more as a result of the balance of nuclear terror than: because of the UN. Nonetheless, the contributions of thí s
world body must not
the same time, be
overlooked.
附加數 ®
明德出版社
高樹方提供資料
B.
(x-2)(x+3)
(x+1)(x+3)
(x+1)
20. A right circular cone of height 3r and base radius r has the same volume as A cube of side y. Then y
·A·
C.
E.
Answers:
1. D .. C11
2. A 7: A 12,
3. B 8. D. 13.
B. Tr
C16. A B-17. E
B. 16. B
4. 9. E 14. D 19. C 5. B10. c. 15. A 20. E
at z
argeement
4+41
Solution: -4+42
2
Now
4
and
5.
· 4-2cis45°
301930 2.6cis(45-30°) 2.6cis150 modulus z-2/6
(Ans.) arg 2-150
Find the locus of the point z such that
Jiz+1} Solution:"
z+1
Let z=x+iy, we have
22+1 @12(x+iy}+1\/ */(2x+1)+2iyl
= √(2 x + 1)2 + (2x)2 =4(x+y)+1}
the given expression is given by 122+112 Tiz+11
√(1-y)2+x
Squaring both sides, (2x+1)+4y-pl
4 [(1-2y+y2)+x2]
2
-4-By+4y+4x
4x+8y-3: which is the required locus of z (Ans.)
Exercise 6
1. Express the following.
in the form a+bi:
1 Cossing
1
(a)
(b)
Icose-isin 5+41
(c) 5-1
at
(#)
ADDITIONAL MÅTHEMATICS (11)
SAP KO
MILL & DALE FRESS LTD.
Complex Numbers I Worked. Examples:
1. Given that f(z).
where 2-1+21, prove that [z] L [f(z)} Solution:
f(1+21), 7—(1421),
2|f(1+21)
2:10 25
1-(1425)ˆ
6-21.
121-2 [f(z)}
(Ans.)
Find the modulus and
Find the modulus and argument of the
following expressions;
(b) (i+1)(2+1)
(c)
coseisinė cosz-ising
3. Find the locus.
such that.
(a) | 21 | 2 (b) 12-11+ {Z+I] =h (c):212-21 »] z−6i|:
(a) Given that
x+iy
and İzi×1, "show that zzi, where z is. the conjugate of z. (b) If e, Z are also
complex numbers, and ez+40, using the result of (a), find
the value of 2).
5. Given that 2-x+iy,
Zex-iy..
() Find x and y in terms
of z and z.
(b) Hence show that the equation of the straight line A⭑+by+= can be written in the form Pz+Pz+c=0
bere p is complex and c is real.