1990-04-01 — Page 21

(21)育教日六初月三年午庚陕腦夏

都日僑華

3. Mid-point of AB is

(-142, 443) = (1, 2)

Slope of AB =

slope of the required straight tinė is 3.

日期星、日一月四(〇九九— )年九十七國民藝中

TIM BRZE BIOA:

Substitute (3} into (2)

(2) + (6)

(3y-6)+y-10(3y-6)-14y+54 0

250 + 300 0

* By + 150

351

or

Substitute c-12 into (2) obtain

Substitute the values of y into (3), we have

Substitute the values of g and

into (1), we obtain

· or

A and B are (3, 3) and (9, 5).

(Ans-)

the circle is

(Ans.)

11. The length of AB

(Ans.)

*(5-3)

.. (1)

(2)

From (1)

[3]

6.3246

(Ans.

Substitute (3) Into (2)

(x-2)-16(x-2)- 360.

(b).

require

x2- 10x = 0. x(x-10) = 0

1. The centre, O is (5, 7).

11. Radíus = √51 + 7* — 64

0 or 2=10

Substitute the values of x into (3), we have

-2 or y = 8

4.472

120

(Arts)

1) is on the circle.

13456k + 4 = 12 = 0

k* - 6k - 7 = 0·

(k + 1)(k - 7) =:0

-1 or..

when R1, D-1s (-

(rejected, for it is the point A) (Ans.)

When k = 7, 0 1s (7, 1)

(c) the centre is (2, −3);

the radius = (-3)2+(2)2+(-12)

. A and Brare (0-2) and (10, 8)

respectively:

AB40

(d) ACE 17+ 1)2 + (-5 - 11

AB

10

1990 中學會考預習專欄

明德出版社,

MILL & DALE PRESS.

(c) find the centro and radius of

the circle,

(d) is AG a diameter of the circle?

Why?

8. The centre: of the circle x2+y2+px+qy # 0s (2, -1) and the straight line y=kx is tangent to the circle.

(a) Find

Mathematics (26)

Exercise 26

Section A

i. K. Lo

Coordinate Geometry (1)

1. Find the equation of the straight line perpendicular to 4x-y+10 = 0 and passing through the intersection of 5x+3y+4 = 0 and 4x-y+10= 0.

2. Find the equation of the tangent which touches the circle x2+ y2+6x+31 = 0 at P(3,-1).

3. Find

the

equation of the perpendicular bisector of the line.

the values of p and qå ij. radius of the circle (in surd form). (b) Find the value of k.

Solutions to Exercise 26

Section A

1. The slope of 4x-y+10 = 0 is 4

the slope of the straight line m=

Consider the equations

5x + 3y +40

4x - y + 10 0

joining A(+1, 4) and B(2, 3). __________ (1) × 3 × (2), we have

4. The straight line x-y-20 meets

the circle x+y2-16y-36 × 1) at A and

B. Find the length of the chord AB.

The vertices of A ABC are A(4; 5), B(0, 7) and C(9, 10). Find the equation of the height 4H.

Section B

6. A straight line x-3y15 • 0 cuts the Circle x2+y2-10x-14y+54 = 0 at

points A and B,

(a) Find

1. the coordinates of A and 8. 11. the length of the chord AB.

the centre

(b) If the centre of the circle is

If

1. find the coordinates of 0,

and

11. the length of OAV

iii. Prove that ZAOB - 90°

polats

17x + 34 = 0.

Substitute the value of x inta (2), не have

2

the intersection is (-2, 2) Using point-slope form, the required. straight line is

centre of the circle is 1-3, 0)

the slope of the radius through. Pis given by

slope of

B(0 -6),

Using point-slope tangent is

C(7, -5) and D(k, 1) are concyclic

(a) Find the equation of the circle which passes through A, B, C and

·D.

(b) find the value of ki

AGB 90°

(Proved)

(radius of the circle).

AC is a diameter.

Slope of BC 107

(a) Let the circle be

{Ans.)

lope of All is -3 since AH | BC

the equation of AR is given by

共

x2 + y2 + 2x + 295 + C = 0 Since A-1, 1) is on the circle.

(1)7+21(-1)+20(1)+c = 0

-27 + 29 + ¢ + 2 = 0..(1) is on the circle,

8. (a)(1)Since (2, -1) is the centre.

p-2(2)-4

4 -2(-1) = 2

(ii)radius = √(2)2 + (-1)^

-5 (Ans)

(Ans

(c + 35 + 0. [(2)

-15 on the circle,

(b), y = kx ........... (1)

(3)

Section B

«14F

4x + 2y 0 Substitute (1) into (2) X? 4 (RX)® - 4x + 2kx ≈ 0.

(2

(2)

x - 31 + 6 = 0.

(3) (4):

(2)

49 + 80

From (1)

75x3

x 3y-61

(3)

學前教育絕不能忽視

對本港更有特殊意義

能忽視的。. ,是有著極其重要的影响,是絕對不 上指出,前放寬對何一個幼黹來說 動空間及伙件。葡見香港的幼兒教育 NE-SEUMSKENE

,香港大學心理亭系號投喂友阿博

學則教育是否必須,成爲政府是,發民對其一生有重要影响。他認得對

本港雙職家庭普遍小孩需照顧培育的發展,對他們的一生有著至還的

-

否全面資助的關。 PROKLISHSKNECROR FL- (11)K12### WEE 文法指出,學前教育相當重要,兒童 慕以升嚷小一,故筆前教育有其必娶、此,好友與斜事前教育是絕對不能 香港教育專業人員協青那會共莫一蹀程較深,倘未能就讀幼稚, 心理學研究及實驗中引擎出來的。因 本特殊本的小

1990:中學會考預習專欄 明通出版社

MILL & DALE PRESS

Economic & Public Affair (26)

M. T. Kwok

Enviromental Pollution and Control

Causes or Enviromental Pollution

The destroying or spalling of the environment is mainly caused by human's own activities such as the industry or modern technology. In summary, the main causes, are:-..

2.

(1)Population growth (2)Urbanizations (3) Industrialization

1990 中學霸考預習專欄:

朝出社

MILL & DALE PRESS

Major Items

wearing aparel

textile

Types of Environ

of Environmental Pollution,

There are four major types of pollution (1)and pollution

(2)Water pollution. (3)Air pollution (4)Noise pollution.

Con desinorees of pollution maye shaft the

appearance

of the beautiful

plant life, Will people or forests, and, darage cle's hearing...

Land Pallet in Hong Kong

This pollution is mainly caused by: the inconsiderate disposal of rubbish and waste, anso, the farmers use of chemical fertilizers and pesticides is a main cause.

Such pollution is the look-our" streets, beaches and Countryside. It can contaminate food, hargun dad k|11| animals

Water Pollution in Hong Kong

Geography (26)

P.F. Chan

The human sewage, Industrial waste, and agricultural waste are the main form of causes of this serious pollution in Hong Kong. Also, the oil leaks and Sp1115 .from shipping, chemical fertilizers and litter contribute to the problem.

12g+240 +264

Our densely packed populate central airport,

frequent traffic, continual construction work, and lack of and separation between Industrial residential areas are the main causes..

It can affect our physical and mental health preventing us from

AS B2 - 4AG

4(1 + 25)(0)

資

助

(2k.

全面資助

k2

(Ans.)

3/4資助

1/2資助

1/4資助

2

完全沒有資助

(1)Planning against future pollution. (2)Legislating to control pollution. (3)Providing services for waste

collection and disposal, (4)Monitoring pollution levels.

- Besides ERU, the following badies have some unique responsibilities aver

13this: Form of pollution may kill fish steeping and enjoying peacfully. It cancel of colluton

and plant life, cause the dangerous red tides and contaminate marine life. The swimmers: may be harmed, too.. Air Pollution in Hong Kong

The toxic exhaust fumes produced by the vehicles is the main cause of air. pollution in Hong Kong. Also, the fuel burning by factories and Dower. stations, smoke from aircraft," thick dust from building sites, and cigarette smoking are causes.

It may bring harmful effect to human -(causes cancer or Kills people) and

acid rain!

electrics) and electronic products

Plastics fincluding toys and genes) watches, clocks, precision instrument

1.27 13.23

1956 1960

1984 1978

21.1% 40.0% 44.8% 34.6%

47.5% 15.4% 9.4% 6.

8.2% 14,5 14.87 24.32

9.0% 10.6%

1.3

5.2% 7.0%

3.

mazal products

5.6%

5.43

2.62

2.3%

household equipeunt

10.8%

3.1% .0.1%

2,13

albers

total^.

B.EX 12.67 13.1 12.9%

100.0% 100.0% 100.0% 100.0%

* Total qpproximates to 100% due to rounding off.

the

The above diagram shows percentage distribution of export of. manufacturing goods,

ta)what are the Three dominant industries in the 1950s and 1960s?

(b)What are the Three industries

dominant in 19847

(c)Suggest reasons for the changes in

1966-1984.

(d)Besides export figures, what can we use to indicate the relative significarice of • manufacturing activities. Name TWO"

(e)What are the problems that are faced by Hong Kong in its major overseas markets?

Cultural Topake jsockerlat aysten

(Royalqa) inputLI

Jezoninio frantal

fabour

[vatar icheste

warket

Entwelve

faralny lo

و است و ههنا

Bantul outputst

tevli

Tea

Engestras crop

A simplified agricultural system in South China

Moise Pollution in Hong Kong.

Ident by the ysicaluari Acand

·B and Output

(b)Describe how the various Inputs from physical economic. and cultural can affect the agricultural production in South China,

(c)why is the intensive farming

practised in South China?

(d)Name FOUR physical and cultural constraints affecting the farming. productivity in South China.

Food 0,

The diagram above shows a simplified model of an ecosystem in the Tropical rainforest landscape. (a)Identify the Three major biotic

components marked X, Y and Z. [b]Describe and explain the main characteristics of vegetation in the tropical rainforest. (c)Describe the effects of human activities on the vegetation in this forest.

Answers:

1. (a)textile

electrical and electronic products wearing apparet

Eblwearing apparel

electrical and electronic products plastics

(c)-Need for diversification -Government encouragement

-risk of unemployment if dominant

industry face problems -disadvantages of specialization

areas)

damage our hearing. In a word, it alUrban Services Department (for Urban violates our normal life,

Environmental Control

From the above description, the pollution problem in Hong Kong was se serious that the Hong Kong government began to set up special bodies to deal with it. The first

one is Environmental Pollution Committee (EPCOM) A150 brand within the Secretariat with making authority pollution is established d 198 this becomes the Envi meutection Department (EPD).

The functions CPDzare

fof

er competition in market from the developing country in Taboure intensive industry -nigh labour wages -technology-oriented -trade protectionalism

(d)employment structura

grów national product

(e) increasing competition from the

developing countries e.g. Philippines, South Korea -higher production cost

..higher price of product -less competitive power

International market

-Trade protectionalism in H.k,

major overseas market

-heavy dependence

00

countries e.g, the U.S.A.

2.(a) solar energy

8 water

5011.

warmth

air Crice

(b)Physical Inputs

several

-favourable climatic conditions

For rice growth -hot and wet

-at least 29 months in a year; -long frost-free season -lang growing season.

-in winter, catch

vegetables

-sof infertile

-use chemical fertilizers

-billy relief

-terraces

-small farm-size

Economic Inputs

-high population density -provide Tabour

-local market

-large enough to

production

sional Services Department (for

evil Engineering Services/ Electrical & Mechanical Services Departments (for sewage treatment works)

(d)Marine Department (for refuse around

Hong Kong's coastline) (e)Agriculture & Fisheries Department

(Tor

e protecting.................. wildlife, vegetation, and country parks.)

some organization like the Conservancy

In addition to government effort,

Association, has helped to control the problem, too.

high population density -competition

Landuse

--commune system

from

-equal share of land.

(d)-flooding in wet summer..

respecially typhoon

residential

-unexpected drought in autumn and

spring

-hilly relief

soil erosion

--high population pressure on land:

lack of

systém

efficient transport

-little improvement in irrigation

system

-little improvement in skill of

Tabour

3.(alX - consumer

Y producer Zdecomposer

[biDescription:

greatest plant diversity tall trees.

life-form: trees, scrub, shrub

4evergreen "broad-leaved -

dense forest

-continuous growth.

-distinct

Tayers).

stratification

Explanation:

-favourable

climate for

plant

growth

-hot throughout the year -27°C

crop

-wet throughout the year

-for labour-intensive farming

(c)-hilly ralief

ittle Joyland

-support

-sunny

high angle

of

incidence

-2500 mm - 3000 rem annually

throughout the year

(c)-human activities: Lumbering,

ghifting cultivation, raining

fishery, (rubber) plantation -deforestation

-valuable tree is cut -

-soil erosion becoises serious

*,* of heaving rain and

more exposed surface Infertile sott

-stow regeneration of trees -degradatson of forest -more unstable ecosystem

གྒཡཡ – ཡཱཀརཱའ ཉགཝཱམ 1=

有許多內政事務

KERBER

PANZERCU SUCIZ**•

HEE-SVINKA

(二)于是港國在一八九华

A

*KEN - HAR2 › 本場

一切,那瓦帶了滿險的詫異神氣 宇米。不但事事如此,抑乩一般 其家剿下准不可解的耱份,與麻本想的書。她使向站在旁邊的店跳出了 CEREY SEEKER 敷起舞境交分不開,也不舂分開後,求大事店,在塞滿了嘉安作品的一對,就遂對此術做水不明白所特隆何 個女人之積 如昀另一面就蠻專門性學籍的子邡 不淨亮,佔勤鄩麗庄黛表現 ,似乎二低,然後返國蚺;於是評價 鮑匯度註,氣質高貴,雙類 選 性網,有頭內字形話外,我們精 找出道运并非理論性,也 **** = 58< ||

沿夏至今未妻。 並將國務蟻列鸪所有閣員之首,這個規定 ::一八四九年,湖散步出家已對外交 了得對外關係的需姒,便將內致方面的

碧能劃分出來;另成立內政部,磁務費 和內政兼維有了明噬劃分,美國國務院為

本脫離了關係,而大家也認爲是珊用 他對人的,也可以代找着一般人的, 多頭插斷方基身小的事,他是帮 的時期,過了道時期,已然而然與情感,再創ㄊ規的觀賞,有關塔難難,當不

TH-RX NARU

當然的事。

X-231 - 2900 2*XIS - KEYCUS **EFUZE - na He

EZ-SKO

ERU EL-KING - *** ---- A