WAH KIU YAT PO
報日僑
莫四第張三第日八十月二年戌壬夏
六期星:
numbers.
12. A cask contains only
vine at first. 4
物理
1982
中學會考試題預習專欄
數學
(十二) 明德出版社 交長波提供資料|
MATHEMATICS (Syll.2) (22)
C. P. Man
MILL & DALE PRESS LTD.
Exercise. 10
Answer All questions.in Section A and any Five: questions in Section B Section
1. If x=3√2-23 and
y=3√2+2√3, evaluate the value of
22
·xy
Divide a load of 120kg between A, Band C so that A has half as much again as B and B has twice as much as C?:
In the figure, AB=4cní, AC=3cm and ZBAC=900
Find the radius of the inscribed circle.
sinA+cosâ<z, find
4. IT
the value of tana-
tana
bus went up a hill at a speed of 20km/hr-
and down the same distance at a speed 30km/hr. Find the average speed: of the bus for the whole journey.
In the figure, AB ia the diameter of the circle,∠ACE=20
LEAD-30
and:
find
the
E
value:of-x.
7. A man borrowed $3500.
and repaid it by two equal annual instal- ments at 10% p.8. compound interest. Find the amount of
each、insteent correct to
neareat
8. In the figure, AD 1 BC. if PC-7, PBg5. find the value of AC-AB.
Section B
A
9. In the figure, His
the orthocentre of AABC; BX=XC Prove that D, X, E, F are coneyclic.
B
10. In the figure; AB and
xy are two circular
concentric arcs of -length Bem and 6cm
respectively. AX, BY are bounding portione of two radii If AX=BY=4cm. Calculate (a) the radii:of the
two concentric circles
the length of AY
B.
11. Tnree numbers are: in the ratio 1:5:11, if
3 is added to each of
the numbers, the
resulting numbers. will form a geometric progression. Find.
the original three.
13.
Iltres are drawn and replaced by 4 litres of water. 4 more litres are next drawn and again replaced. the same by water. If the volume of water is now 19%, how many "litres of wine were
in the cask at first? p and q are the roots of the equation
2
́44x-6=0;
(a) Pind the value of
22
D+q
(b) Find the value
33
(c) Write down the
equation whgseg roots are, P
33
and p+酒 in the
2
form ax_+by+c=0
14. The angle of.
elevation of the top of a vertical flagstaff from each of the two points A and By or horizontal ground are 30 and 45 respectively and that from C, the mid- point of AB is 60′ If AB is 100m apart, find the height of the flagstaff.
Som
5. In the figure, ABCD
is a square. ADFC equilateral A. ZEDC=ZECD=15° Prove that..........
(a) BCFE is a rhombus (b) JAER is an
equilateral
(十二) 明德出版社 盧雄國提供資料
Physics (22)
H.K. Lo
Mill & Dale Press Ltd.
Suggested solutions to Exercise 11
(a)The energy gained by
the electron =(charge of the
electron).
x(potential
difference) (1.6x10-19)x(200)
=(1.
-3.2x10-17j
(b)Let the maximum
Ans.
velocity of the electros be vmat TH electron will acquire maximum velocity 流套 all the potential: energy gained is
converted into kineti energy.
臺mv--3.2x10-17
2
日三十月三年二八九一座公年一十七国民華中 育教
Let the resistance.
of each bulb be Ra, When and
K2
are
open, the current
19 0.5A.
.p.d. across E
and F
(a)
公 (0.3)(R)
When k is closed;
the effective
resistance.
RR R+R
22
the current: through A
0.38 0.6A Ams
(ii)When
ky and ky are both closed, the effective
resistance
+R+R
power dissipated by C
Band. C Wave the
same brightness
and A is the brightest.
w
70
40
When k is open
7.21
R=120
Angi
(b)If k is closed the
resistance of the. branch AB 18
decreased, hence, the value of R should be. increased.
(c)Effective resistance
of AB
· (7)(x).
7+x
7x
(9.1x10-31 )()
7.x
fThe current
Ans.
through
0.3E
28x
56x
'Ans
=3.2x10~17.
-7.03381013 v=8.386x106. (e)The "distance between
the plates-10mm.
(a)(i)
.2
=10 men
Acceleration
(8.386x106 2(10) -3.516x10 ms Force on the electron
(9-1x10-31
x(3.516x102
B
=0.9A
As shown in the figure, since the resistance of B is equal to that of C, therefore, the current through B is equal to the current through Ci
B
The current through A
is the sum of currents
through B and C, therefore.power. dissipated by A =(21)2R=41_R
power dissipated by B
2
Ans
Let the number of, alpha and beta. particles enitted be
x and y-respectively.
238
920
230
90X+xy He+y
238=230+4*
92=90+2-y
90+2(2)-y -94-7
y=2
Two alpha:
Ang
particles and two
beta particles
are emitted.
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史:國
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古鏟琴手:
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香港舞蹈團演出「四季」
一九八二年三月廿二日(星期二)下午八時
編導:惲迎世、冼源
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十五元、二十元、二十五元:
普及科學講座
市政局科學館主辦
空中幻影
一九八二年三月廿三日(星期二)晚上八時
香港大學物理系
大會堂劇院
不大門太
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: 大會堂票房發售
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劉琴伴奏貝莎
不設郵購
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一九八二年三月廿一日(星期日)上午十一時
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費入場
柏察絲姬鋼琴演奏會
一九八二年三月廿七日(星期六)晚上八時 (3TH27}
大會堂劇院
擊節讚賞。?」 西溪諾威報 「......她的演奏,深遠播人·造舘高深,令聽衆
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設有郵購
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貝多芬小提琴與鋼琴樂曲全集
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大會堂劇院
一九八二年三月廿四日(星期三)下午八時 一九八二年三月廿二日(星期一)下午八時
時時
大會堂粟房發售 門票:五元、十元、十五元
盧
柏 郵堂
. 門票:五元·十元、十五元
大會堂票房 發
盧柏斯演唱會
故有郵購
一九八二年三月廿九日(星期二)下午八時(3TH29)
馬費雅斯·卡烈鋼琴講座及 演奏會
析伯
舒伯特:降B大調奏鳴曲(這作)
·分析及演奏.
一九八二年三月廿一日(星期日)晚上八時
一九八二年三月二十日(星期)晚上八時
大會堂劇院
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「門票:五元十元、十五元
香港中樂團
·音樂總監及指揮:吳大江
琵琶獨奏:劉德海
第六職業樂季首次音樂會 四月廿五日(星期日)下午三時 14CH25a}
A..
時時
(4CH256)
四月廿七日 (星期二)晚上八時TACH27) 「四月廿六日(星期二)晚上八時:14CH26},
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