日
塞
B
補助學校*文憑數學卷三(代數)
Post-Secondary Grant Colleges Joint Diploms Examination, 1962 1
公羊一十五國中張四第
日三廿五年寅壬歷對
WAH KIU YAT PO
勿作無價值的犧牲
英文中學 FORM 1
張夢谿
文英数科先修孽糊 黄俊美合編
張約瑟
A 3 Kant mat A4Am
[我的心已無法抵抗
杀然,經過了一
【种侵擾,我想到一切個多月的痛苦,我的 解决,死的就念非常被盱然闷了商被,低 葛餅,除了死是無法手和脚杯断去了,這
34
算 術(八)
Greatest Common Measure
re the numbers 24 and 36 un snell sea that the fastere to stich they mag
x 3 * 362 X 2 X 3 x 3 and that the outere 14 and K
24-2x 2 x
Aures 2 Z 7 X 3 in cominG FLA
tht two or more fastere how is common are ceiled whair Compen versuras. ople just given the comon mesure are 3, or 2 X 24 or 2 x 2 x 3 12, 2
on of these la PIXI 3 ar 12 Hence ve dal 12 the Greatest Common Weesura
sume the kry two be sore nuatre hever in comson is their Greatest Com
or chest Common Festor,
1
2x 3
* find the 0.C., of Band 98.1
olve 84 and 96 into their Prime Factore,"
64m2 X 2 X 7 or 21 3 x 7.
962 X 2X 2 X 2 x 2x3
¡Me Frina Factors which 84 and 96 have in common.
are 2 1-2 I Jm 12. or." 2′1 3—12.
tawolved in another way, thusi− ( this man is for the small numbers
12 1# the Bighest_Factor_vonnan to bola.lay
MATHEMATICS
23rd June, 1982.
9.30 - 12.30 p..
Paper III: Algebra Answer any SEVEN questions.
1. (a) Define "algebraic structure" and "isomorphica" between two
individual camples of such atresture in the most general terme possible.
2.
(b) show that it is impossible to define inequality for the elements of a finite field as we do for the field or rational cumbers.
What is a ring? a field?
Let ʼn be a positive integer and J., the zing of integers module B.- (a) Find all the divisork or zero iz J12
J
(c) Show that J ̧ 18 a 110žd, if and only if a is a prize.
3.
Let
5.
be a group and Z the subers of G consisting of all elemente.' which popnute with every element of Gr
Z +
(1) show that
(11) If
fa : ax = xa for all x EG).
is an invariant (normal) subgroup of 3.
an invariant subgroup of G such that is contained in
2 and the quotient group G/H is oyclis, show that is comautative,
Denote by V(F) a vector space over the field and by y' the set of
all linear transforations of V(F) into itself.
(1) What significant algebraic operations can you define for the i
set y
(11) Derive the multiplication formula for aquare matrises from; 1
algebraic structure of y'
(a) Find a non-singular linear transformation
T + (xy• *• *z* *4) → (*1, *, **, *4) which reduces the following quadratis form to can containing equare terms only:
2*y*2 + 2xzxz + 2×1*4* *** 2*2*34*2*4 + 2x
967
And the 0.03, or N.C.F. DI-2151 8 1313, { thié way de good for they?
A-KINDSŸ...
(b) Given a square matrix
HAPPY
1305
藝九五
自殺問題剖析
MEAKSAEED
甚至「無液無之,使報館的值樹影者頭痛,十分上的肉質, 非壞了人然後自己再自殺,總之,自殺新開,不僅無日無之;,繼而日遒的死亡率并不很高,遍又可以反映出多數是一淼這價
喝幾滴竝蒈岔者殺虫水,大者一對男女自盡, 動人的 了報紙,每天都有許許多多的自殺新聞,小者爲了家將小散,「鳴莺人」,往往是熱變難死的。只是,根一般情况,爲愛 無可靠懟,自製是目前本港一個很的黑的社會問屈,翻開,也不少,而且這些從愛情悲劇所引起的自殺就是「不嗚則三、 致大概婊下了家庭問歸,所謂一哭二簸三上精孝凸世 -ED 自殺經濟及家庭糾紛民主外,因涉及婚姻問題而自殺的
***+BUSTER<KAPATMAQAL
· BER-LIPGKBERRKS ·
再根據「香港自殺問題之研究」中,關於人們採用官方
H
藏
152
映放
華大 喜艷運
劇情動
菲絲
20
n Athens
1292
"TOT 20212'
202
West Common Factor 301
find the G,CN. or H.C.F. of 343, 5929, 7007)
15929157, r
3433 394
49: 7007 143.
210
196
*OAM of 49 and 700749,
therefore, 190.CM. of 343, $929 and 700.]
fantare of 243° 77
5929 7′′t 11.
7004 `?* = 13)
#.#.6. THAS.
Two billa of £3 12 8. 65, mra £3 17%, ód, kes to be paid in ovira of one Wird What is the largest coin that can be usedt
The largest coin must be the G... At the two waunte.1
3128.
id=145 aixpences,
A. ES 17%. 681235 «Ixpèreas
1024
145-129
·2355 '27
15, and the largest coin must be the equiem lem of 1 pixareas,
Exercise &
6. 224 and 3%
2
1
2 I
-1 -20
find a non-singular matriz P 60 that PAP is diagonal, where! p' is the transpose of P.
6. (a) Prove that any out of non-zero orthogonal vectors of a Euclidean
vector space in linearly independent..
[b) Prove that orthogonal vectors epanning ⋆ Eurolidean vector spate j
E form a basis for E.
(e) Find an orthononal basis for the subspace spanned by the vectors (1, 1, 0) and (0, 1, 2) of the Euclidean 3-space.
Let f(x)= x2 + ... an be a polynomial with integral coefficiente]
and let r/s be a rational number such that and a are prime to each other. Show that. if f(r/s) = 0, then r ja a factor of a, and a A factor of a
Hence or otherwise, solve the following equations.
(1) x4 - 2x3 - 21x2 • 22x. 40 - 0
(11) 27x3- 90x281x-18
(Algebra Page 2)
0.
(Please turn over),
(1) Let f(x) be a polynomial wich rational coefficients."
If a +5, where a is rational and √5' is irrational, is a `
日四廿月六年二六九一墟公年一十五了急不好
1 - BEWEKE - #
DEFG-DEAN ON) HE.* **• 中國文學批評八文聖國福穢」試 〔十凵才異一 +EYRERA, » TESEKZER-ENFOR
(1)BREM'K-2=<RKRD'EN 列歷代綜製,止於宋代之萨帝華, (1) EEK - MC32011 ,於九代之文,除之
·
花點貴,
•
四、高松壽結。完
11-E-KRWER -
專上柶統一文憑考試
中國文學卷五 中國文學批評
(1989-581-124
TX ##
蟲八
專上校統一文憑考試
4 p
補助學校文憑化學卷一(有機化學)
1.
4.
coot of f(x) O akow that * - is also a root of f(x) = 0.
5.
4% - 1 - 0; hence find all the roots of the
(ii) Verify that 2+3 is a root of the equation
4 423
X -
equation.
補助學校文憑 英文卷六(英詩)
I
2.
1337 113
26. 2017 and 7392
9. 175 à 2KT
12. 2431d 770
17, 2793 2650.
3.
13. 90 ans 3474
13. 4165 686
14. 1379 and 2401
19. 5323 and 8307
4.
10. 429 and 715
15. 2314 10 3721
20. 3771 w 10000
5.
8: 384 1024
9. 122 and 625
Lucern to Exryke 7
3.32768
W. 10.000 5, 3375
1,100,000,000 II. 400
6.1 17.01
+
24915. 3751 1 4.3′′x 5 x 11 5.ja′′x 3′′x5
* 101, 7, 21 357, 8, 3′ 25 - 9, 5 2.3 x 523
3x5 13.87 % 2
x 13.
(本欄逢此期四、五、六及日刊出)
【助學校 文憑ㄌㄟ 地理卷五
ㄈㄨˊ
Colleges Joint Diplona Examination, 1962
GEOGRAPHY
PaperHuman Geography
+
2ård June, 1882, 9.30 am
tion only. 1. questions are of equal value,
19.30 p.m.
large-esale human migrations that have occurred inexuses for these ?
last five centuries throughout the world. What were
the
are there to express the density of population?. Eraphical methods of making various kinds of density map.
Jus. Use, actial examples to illustrate your knaver.
lassification of settlements according to their
ther
Bon does "Liveatcok Ranching", differ from "Nomadio Berding"?..
scuss this with respect to
The difference in production methods
The difference in world distribution and its causes
3) The chief products and trade.
Commercial Plantation Cultivation" and "Commerolal
ID FATALAR". Describe their places of distribution, chief
And world trade.
Special
following. What are the responsible factors for suc
characteristics of the railway aystens of two
acteristion?
Afrion
(b). Hila lands of the Alps, and the Balkan Peninsula
(0) S., Asia,
Boribe the
pultural taza ofa. roghan, Select any part of Hong Kong 20
methods and prosedure of making a survey of the
ple to 111ustrate
your answer.
Tropical Rainforest Region with lepenial reference to neturaŭ
the obstacles to exploitation and development in the
regatation, and mo129.
ens in Java, Malaya, and Ceylon, the obstacles have been
Brooke, and
Che
agriculture has been improved, Discuss.
graphical conditions for the development of
tial exsyles to illustrate your andser.
6.
9
Post-Secondary Grant Colleges Joint Diplons Examination, 1962
ENGLISH
Paper VI
Poetry
Attempt any FIVE questione.
28rd June, 1962.
9.30 2.1. - 12.30 p.m.
Do you consider terms such as "Metaphysical", "Romantic", "Georgian" helpful or otherwise in appreciating poems? consider ONE of these). labels in sora detuil.
SITHER consider the importance of metaphor or of allegory in poetry. OR explain Wordsworth' theory of poetry and abou how far he put it into practice.
CITHER give a critical account of the wark of any one poet of the eighteenth or of the twentieth century
discuss the sannete of any two poeta ather than Shakespeare.
Give a critical account of any one fanoua elegy that you have rend,. with some reference to other poems of this type.
Show what emotions and ideas are aroused by the consideration of the passage of time in. two of Shakespeare's sonnets; and comment on the ues of metaphors in them.
*
Discuss in taxe detail one these poemet-
L'Ableyro: Ulysses;
Dover Beach: The Hounds of Spring.
SITHER in what ways do you consider Ode to a Nightingale and To A Skylerk characteristic of "their authore?
On Describe briefly the metrical structure of Shelley's Ode to the West Wind and discusa what light the imagery of the poed throws on the poet'e character..
8. Compare Pennyson's Break, Break, Break with Emily Bronte a
Kenentrance as expressions of grief
EITHER what is the theme of Bridgee Nightingales? Do you think the ways by which he expounds his theme effective?
OK -lady in Love is the Valley is no conventional figure but
greature to bruise and to bless how does Meredith actlove this
effect?
.
Connect FOUR of these extracts to their contexts and comment on
any points of interest, remembering that they are poetry:
(a)
Yet let his keep the rest,
But keep them with repining restlessness; Let him, rich and weary,bat at least,
If goodness lead him, not, yet, wearin053
May toss him to My broust.
J
() Roard melodies are swoot, but those unheard
5
Are swelter, therefore, ye soft pipes, play out
Nat to the: sentual ear, but, wore endearhd, Pipe to the spirit dittive of no tone;.
() Annihilating all that's' made.
То а Braan thought in a green shade..
(a) Blind Bouthai that" scarce themcelves know how to hold
A eneep-hook, or have learn'd aught else the least
That to the faithful herdman's art velpagal.
What rocks it thea? What need they? They are oped.
(e) For oft, when on my couch.-lis
In vacant or in pensive mood,
They flash upon that inward eye
Which is the bliss of solitude;
DI TRE-T
蓴上學校統一文憑考試
六月二十三日上午九 #47+=44
試卷六
由康德到羅素
共四題完雞
舒明讓您(KANT,所以觀間間滿主們的理由。
ALBA) · HELE ?[*1].
GOOD WILL SHAXSA?
以下選一起
EN (HEGEL) ENERLEIUS, 1-2 55209 • BATESH? 黑能測的蠕虫,紛被弟為「生會的滤輯」或也請您的選輯」,還有什麼根據?? 以下品牌
柏焗淡(BRADLEY」認爲「既保」(RELATION)矛盾的,其理由安容垡 AHH: (ROYCE) FAZZAJLAR[BK] [LOYALTYTO LOYALT
Y)的強嶼、
類無密(WHITEHEAD)對現代科學觀念有尖說的批評,試國述共批評的與點
Fost-Secondary Grant Colleges Joint Diploma Examination, 1962
CHEMISTRY
Paper 1 Organio Chaniatry
Candidates may attempt 6 out of 8 questions.
Explain the isomerism between
(a) tartaric acida
(b) tumaria acid and maleic acid
(c) cyclopropane-1, 2-dicarboxylic acids.
Indicate briefly by means of formulas and equations how FIVE
of the following compounds way be synthesized from benzene,
(a) benzaldehyda
(b) naphthalene (e) diphenyl
bromotoluene
syn-tribromobenzene
p-amino-azobenzene
(g) atyrena
(h) cyclohexanone
Give an account on the mechanism of aromatic substitution.
(a) Describe two independent methods for extending a carbon
chain by one carbon at a time repeatedly.
(b) Doscribe two independent methods for the preparation of a primary amino uncontaminated with higher substitution products. (e) Describe three, methods for the reduction of a carbony2
group to a methylene group.
By Leana of aquations and short notes indicate how you would prepare FIVE of the following compounds from acetaldehyde.
methylacine
thane ethylamine
acetonitrile
acatone
f) lactic acid
(g) crotyl alcohol
methyl-t-butyl-ketone
Give an account of the reactions that occur between
(a) formaldehyde and phenols
sodium bisulfite andaldehydes
(e) sulfuryl chloride and alkane in the presence of
benzoyl peroxide.
Compare the chemical reactions between
:
(a) aliphatic amines and aromatic amines with nitrous sold (b) alkenes and hydrogen bromide in the prosence and
abaence or peroxide.
(c) aniline and phenol with chlorofore in the presence of a
potassium hydroxide.
A neutral compound C HON (A) undergoes hydrolysis to give
18 19 5 'an acid CHO (B) and a neutral compund CH ON (0),
9 11 3
9 10 3
4
8 8 3
On oxidation with mo compound (B) yields an acid C.HO (D)
which can give only one mononitro derivativa. When heated
with soda lime, compound (D) gives a neutral product ¤ H_0 (E)
which is converted by HI into phenol, on chronic acid oxidation
compound (C) yielda a neutral product C_H_0# (F) which is
9 9 3
con erted by sodium hypobromits into bronofore and an acid
C. HON (U), Compund (G) on oxidation gives another acid
874 CHON (H) which when treated with tin and nydrochloric acid
7.5 4
Give a brief 7.4.2 interpretation of the signifióence or each of the observationa .recorded and deduce the structures of ebuvuoda (A) to (H),
and the product brouinated, givas CHO Mr.
3
補助學校文憑宗教教育卷一(盤)
2.
4.
Post-Secondary Grant Colleges Joint Disloca Examination, 1962
RELIGIOUS EDUCATION
23 Jun 1962. 9.30 ...
13.30 9.
Paper 1 Principles of Religious Education
Candidates should attempt FOUR questions only.
What do you understand by the nature of Education"? What is education and what does it accomplish?.
Which paychological theories do you consider of the greatest importance for education? How do they affect religious educarion? What is the purpose and aim of religious education? Is it all. possible to combine
this is with the general purpose and sis
of schools in Hong Kongta.
J
What role does the family play with regard to religious education?
What is the subject matter of religious education? How is the subject matter related to the needs of the pupile?
How does the teaching of social science subjects affect the teaching of religious knowledge?
Should religious subjects he taught by specialist teachers, by teachers who also teach
teach other subjects?·
use should we make of the Bible in religious educativaz
What use
V
What do the purpose of worship and, therefore, of Morship. service? What connection is there between worship and Feligious education?
2
What is the aim of story talling in religious education? Which kind of stories should be told and which avoided? Give examples illustrating your answer.
"Religion cannot be taught but only caught," Diaousa y
What are the advantages and disadvantaged of drac pation of biblical gaterial? Can rilus be used in religious education?