1991-11-09 — Page 27

(27).

育教

日四初月十年未辛夏

報日僑華

10. If the simultaneous equations

3.

4xy 3

(1)

+

Y =

k

1992 中學會考預習專欄

have no real solutions, determine

From (1)

the range of k.

..(3)

明德出版社=

MILE & DALE PRESS

Mathematics (5)

Solutions

Section A

H. K.LO

1.

4x-3y -1

0

6x2 +xy- 3y =

Exercise 5: Simmultaneous Equations.

Section A

Solve the system of equations

4x-3y1-0

6x2 + xy-3y2 = 4

2. Solve the system of equations

x2 + y2 = 16

2x - 3y = 5.

3. Solve the system of equations

4xy 3:

1

Solve the system of equations.

+16y2 = 25

6x2 -19xy + 3yz = 0.

Solve the system of equations

3

solve the system of equations

[x+2} + 3fy+3} =

Section B.

7. If the equations 5x+y-6-0, 3x-y-4-0

•and (p-1)x-By+1=0. are all. satisfied simultaneously by one pair of x and y, find the value of p.

A man travels from A to B at a unt form speed. If he increases his speed: by: 1km per hour the journey.

·wl]take 14 hours iess.. If he

reduces his speed by 1 km per hour, it will take 2 hours 5 minutes more. Find the distance between A and B..

[f3x+4y=kis a tangent of the circle,x2+y7=25. where constant. Findk.

kis

`Substitute (3) into {2}

六期星 日九月一十(一九九一)年十八國民華中

日四初月十年未辛

·(4) - (3)

p = -1.4

(Ans.)

2b := 5

b.3

a. Let the distarice be s, v. be the

speed.

=

=

(Anse)

熱

•服時54644: 務間 54625:

2 x (3)

2a + 4b = 6 ...(5)

(5) - (4)

a-3

1

4x

2x2 - 4x +

0

4± √16-8

X-

> 1±0.7071

or

x = :0.2929

6. Leta:

From (1)

y =

Substitute (3) into (2)

6x2+x(4x-1)-3(4x-1)*

x = 1.7071

When_x = 1.7071

zy = a(1.20715 = 0.4393

When x 0.2929

3 410.2929

6x2+7x-13 [6x+13)(x-1)

When

·4(-13).

When x = 1

4(1)-1 = yu ↑

+

a + 3b 40

..(2)

From (2)

40 - 36

2.5606

+ =

=1.7071

= 0.4393

1X = 0.2929 =2.5606

40-35

(Ans.)

x2 + 16y2 = 25

6x2 - 19xy + 3y* (= 0 .....(2)

(6x=y)(x-3y) = 0

·Fram:(2).

y=5x

型

Consider y = 6x

b+(40-3b) = {(b)(40-30)

3b50b 2000.

-10)(36 20)

10 or b

(Anse}

-(2); (1)

ㄚ程 .....(2)

=

30(y+1)= 5v(v~1) For v 0

3(v+1) = 5(v=1}

Substitute v = 4 into (1)

25

(Ans.)

"the distance between A and B.js

25 km.

When b # 10'

a 40- 3b 10.

3+3=10

(3)

1x + 2 = 10

.(4)

3x + 4y = k.

y = 7 and X

When:b. =

(1)

x2

+ y2 - 25

.(2)

From (1)

-3b=20

K-3x

25

=-2.167

(Ans}

Substitute Into (1)

+16(6x) 25

yn- 29 -3.22

16

.(1)

x = 0.208_or

2x - 3y=5 From {2}

3y+5

Substitute (3) into (1)

= 2.08

1.249

Consider x = 3y Substitute into (1)

* = -0.208 - -0.208 -1.249

(Ans).

20

andx

18:

(Ans.).

{3y}* + 16x = 25

Y! = 16

13y2+ 30y -39 - 0

Section B

J2~4(13)(-39).

(1)

When 'y = -3.235

235)+5

When

3(0.927)+5

3.891

=

Let a and b

: 7

3.891

x = -2.353

2b

(3)

?

(Ans.)

= 0.927

y = -3.235.

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ZERES 1490.

·16x2 + (k÷3x)2 = 400

-16x2 + k2 - 6kx + 9x2·

400

25x6kx + (k2-400) = 0

Since it is a tangent, there' only. ONE root

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(-6k) 4(25)(k2-400):

-64k** 40000.

=25 or k. -25

{Ans.)

.10.

(2)

Substitute (2) into

Substitute. Into (2))

x2-6x + (4-k} = 0·

For no real solution,

Substitute the Wall into

andy

BRA AAC CO. (-5)-4(1)(4=k} [<<0°

(p-1)x By 4 (p-1)(1:25)-8(-0.25)+1=0

≈ 0

36

16. 4k 3.0

4k.

From which

(-5 (Ans)

Economic & Public Affair (5)

B. Division of Labour

Contents.

Characteristics

Ofvision of Labour

"T. Kwok

Types.

理協曲曲:

送考试戲班 初 學 醫護九龍界限街 108

授琴樂理仁濟護老 調

會會員現個別授琴樂理 單買套房物理治療海

連九套

3847840 BOBIEE 3386366

店鋪美如地產 3882707 境情系可放行路窩打老 物業估價妙業秘袂樓花香往診經驗鎮生護理中

:: 廼-124D 地下3368573

Production

1992 中學會考預習專欄

明德出版社

MILL & DALE PRESS

HONG

A. Primary. Secondary & Tertiary Production and Their interrelationship.

Primary' Production:

: Contents.

Meaning

Birectly ut}}fzing: natural

Significance

Classifi- cation

resources (e.g. land, mineral deposits)

Supplying the basic. essentials of human needs.

{1} Agriculture (2) Fishing and hunting (3) Forestry

{4} Mining and Quarrying

Secondary Production"

Turning the primary products into finished products for consumption. or production

Maybe divided into a few sub-processes and normally using mass praduction.

(1) Assembling process (2) Synthetic process (3) Fabricating process. {4} Analytic process.

Tertiary Production

Referring to the provision. or services of all types In an economy [3,4, doctors, actor-

Equally productive and reflecting a Jater stage: of economic development

(1) Personal or direct

services (2):Commercial services (3) social services (4) Public utilities.

Interdependence:: By adding household as a consumption unit, the three types of

production are connected.

Food & Fuel

Advantages

Disadvantages

Household

Consumers goods

Services

Producers! goods

Primary

Production

Raw Materials Producers' goods

Producers!

Secondary

goods

Tertiary

Limitations

Production

Production

Services

Services

1.Specialization within the production process of a particular commodity. 2. The labour involved is divided into repetitive tasks.

3. Each individual does one ask that may be a minute fraction of those necessary

to produce the commodity

1. Simple - Divided according to work.process and by simple trades or crafts.

2. Complex - Owing to industrialization and urbanization, more machinery is used,

and more complicated goods produced. There exists specialization with respect to factory production plus functional division of Workers.

gionata Specialization of a locality in the praduction of a good.

*The region will obtain other goods through exchange with other

localities. This division of labour happens in interprovincial. or international trade.

1. Productive processes are performed with greater skill and speed. 2. Time in learning skills is reduced.

3. Work can be fitted with relative ease to a worker's capabilities.

4. Physical strain on workers is reduced.

5. There is a greater economic use of capital equipment"

6. Specialists may develop their individual skills.

7. it acts as a stimulus to the mechanisation, and eventual automation, of many.

̇tasks.

B.Mass production can exist only on the basis of division of labour.

9. Output is increased and cost reduced.

10. The quality of production, which can be standardized, is improved.

1.Monotony resulting from repetitive tasks, causing strain and fatigue

(tiredness),

2. The worker's Initiative, inventiveness and craftsmanship limited.

3. Excess standardization of production not necessarily to the community's

advantages.

4. Greater risks of unemployment following changes in demand for industrial

products.

5. The interdependence of production leading to increased difficulties in case of

minor or major interruption of production.

6. Breakdown of industrial relations due to employer's separation from employees.

an unavoidable outcome of division of labour.

1. The extent of the market.

2. Exchange and physical distribution facilities,

3. The nature of the product...

4. The size of the labour force and capital equipment available.

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