(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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薪優!假片
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荔幼 失婚貌端有物業誠徵12: 至約
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徵求
高五呎七文靜大專文版徵著版上
北下文萨米婚正戰爵知己
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
女2635霑56
女未能品鲵教育住的帆五时
1130骏膚白随和突戮可秘学
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补報:8382128
(-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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