###
第三第七第
日十二月五年育主歷
WAH KIU YAT PO
日 儒
補助學校文憑 莎士比亞
辅助學校文憑數學卷一(解析)
Part 1
Post-secondary Grant Colleges Joint Diplore Examination, 1962
ENGLISH
taper - Shakespears
19th June, 1962. 8.00 to 5.00 pe
Answer Question 1. che other Question from Part I, one question from Part 11, add one other question from either Part-1.e. Question 1 and three others. In answering questions from Part 11 reference must be made to more than one play. Quotations are desirable passin,
Comment on FIV of the following extracts, referring where appropriate to these points :-
context words phrases allusiong a nodern roader right not understand: the feelings and intentions of the speakers; cignificance of the passage in the scene or lay the style and power of the language. (a) to be generous, guiltless, and of free disposition, is to take
those things for bard-bolus that you deem carnon-bullets. There is no slander in an allowed, fool, though he do nothing but real; por no ralling in.o known discreet min, though he do nothing but reprove
B: Now, Mercury enduù thee with lessing, for thou speakest well
of fools).
?
X: Your servant la servant is your servant, cadan.
Y: Por him. I think not on him: for has thoughts,
Would they were blanks rather than filled with met
X Nadam come to whos your gentle thoughts
Ca bie behalf.
+
01 by your leave, I pray you,
I bade you never speik again of him:
But, would you undertake another buit,
I had rather hear you to solicit that Than music from the Spheres.
(9) á: Coxe, come, and sic you down; you shall not buddy:
You go not, till I set you up & glash
Where you may see the immost part of you.
B: Moot will theu do? thou wilt not murder na?
Help, help,ho!
C: (behind) What, kat help help! he2pl
A: (draws) How non! a rat? Dead, for a
ducat, deadı
C:01 am slain.
(a) X: 30 Guildenstern and Rosencranta go toʻt.
X: Why, man, they did make love to this deployment:
They are not near my conscience; their defeat Does by their own Ansinuation grow.
1710 dangerous when the baser nature coses Between the pass and fell-iaceused pointa Of mighty opposites X:
Why, what a King is this!)
(a) A: The ambassadors Irom Norway, my good lord, j
Are joyfully returned.
B: Thou still hast des the father of good nexs..
A: Have I, ay lord? Assure you, my good.llage,
DX
I hold my duty, as I hold my soul.
Both to ay God and to'ay, gracious King;
And I do think - or else this brain of mine
Bunts not the trail of policy sê sure
As it hath used to do that I have found
The very cause of Baolet's lunacy.
adeak of that that do I long to near.`
„(T) X: (Aside) The Prince of Cumberland! that 10 a step
On which must fall down; er viss o'erleap
For in my way it lies, Stars, bide "your"fires!
Let not Xight see my black and deep desires;
The eye wink at the hand; yet let that ba Which the eye-faara, when it is done, to zee.
(English Paper 3 - Page 2)
(4) 4: Pray heaven is te state-aatters, as you think,
And no conception,nör né jealous toy Concerning you.
X:
ByAlas the day! I never gave him cause.
1: But jealous soule will not be anasered so; They are not ever jealous, for the cause,
But jealous for they are jealousetia a monster Begot upon itself. born on itself
if I do prove her baggard,
Though that, her jesses were my dear heart-stringa, 1'6 whistle bag off and let her down the wind, g Toney at furtune haply infor. This black,
of conversation
And, have not declined
That chamberers
Into the vale
that's not much
She's gone, I am abased; ed, my relief
Must be to Josthe her 10 curse of marriaget.
A: You advise volle W
I-protect, in the sincerity of lbye, and honest
kindness.
I think it freely, and batiass in the corning
I will besėšob the virtuous Desdeudná to undertake
om desperate or my fortudes if they
b. You are to the right. Good night,
I must to the watch...
XFoor deer", quoth (be, thou soklat a testament
As, worldlings do, giving thy sun ef adre
(Planes turn over
1.
2.
Analysis
19th June, 1952. 9:30 a..
- 12:30 p.a+
Post-Secondary Grant Colleges Joint Diploma Exemination, 1962
KATHEMATICS
Pager I :
Answer any SEVEN questions.
(a) Derive the following formula for interpolating roots of the
equation f(x) = 0 by the "rule of false position": "
f(x)
f(x1)
-
f(x)
球
x = e-x
Show that Newton's method of approximation is a limiting 0260 of this formula.
(b) Using Newton's method, find the root of the equation
to four decimal pla~~~
(a) Test convergency of each of the following series;
the
(1)
Dal
1
(11)
2=10 n log n (log log n)
(1) cosh x =
*D=0
2 for All x ;
11)
ทะเ
for all x.
(b) Using Taylor's Theorem, show that
2n
3. (a) Prove the identity
p2(u?)-n up2v + 2ņuyv + sýều,
where is the gradient operator.
(b) Transform the Laplace equation in rectangular coordinates
2g
ہوتے ہی
+
into the one in cylindrical coordinates.
4. a) State and prove Green's Theorem for the line integral around
a closed plane curve.
(b) Using Green's formula, evaluate the line antegral
1'= ↓ (x+y)2dx = (x2 + y2)dy
where is the boundary of the triangle with verticas A(1,1), B(3,2), (2,5). Verifý your result by direct evaluation of the line integral.
$. (a) Assuming that the solution of the differential equation
xya + y + xy = 0 can be expanded in Taylor's series, find the solution of the equation in series form.
(b) Find the general solution of the partial differential equation
xay
0.
Hence or otherwise, show that the most general solution of the equation
(Please turn over)
(Paper I: Analysis - Page 2)
(5) (continued)
where a is a non-zero constant, is of the form
z = f(x + at)j* g(x -£t},
where I, g are differentiable, functions of a single variable.,
(6) Solve the follosing differential equations:
(1)
(11)
(iii)
(?)
(x+y=1)dx ↓ (x+y+5) Jy ́z−0·
+ y cos x' o
i
By y + 5μ' + y = 29.2* + 3 =
i) State and prove Leibnitz's formula for the nth derivative of the product of two functions, and vef a single variable x.
(11) It
y sin log(l+x), show that
{1«x}2y"\+> (1+x}s' + y = Q+
Jance deduce that
(1+x)2 y(p+2), (2n+1}{1+x}y\R+1}, {n2«2¿y¢n}
(8) (a) Show that /
being there alone;
To that which had too such then
by
Laft and abandoned his velvet friends;
Tis night quoth he thus misery doth part
The flux of company; snon', a carelese herd,
Pull of the pasture, Jupp along by bin And never stays to greet him;"'Ayt,
quoth Jaquas
Sweep on, you fat and greBEY
* Just the fashion.
& Twice did he turn his back and purposed so;
But kindness ever hoblar, then revenge,
And nature, stronger than his just occasion,
Kade him give battle to the lionese.
Who quickly full before him; in which hurtling
From miserable aluster I awaked.
B: Are you his brother?
C:
-(1) X3
Was it you ho rescued?
B: Was 't you that did so eft contrive to
Another general shoutr
kill him
1 do believe that these applauses are
For some new honours that are heaped on Caesar.
Y: Why, mon, he doth bestride the world
Like a Colossus; and we petty men
Walk under his huge legz, and peep about
to find ourselves dishonourable graves,
Men at come time are mantera of their fatest]
The fault, dear Brutus, is not in our stars,.
But in ourselves, that we are underlings.
a: The sun of Rome is set. Our day is gone.
Clouds, dawe, and dangers comes our deeds are done.] Mistrust of my success hath done this deed,
B: Mistrust of good succdés hath done this daja.
hateful error, Belancholy to child!
Why dost thou show to the apt thoughts of wen
The things that are not? o errori eoon conceived,
Thou never com'st into a happy birth,
But kill'st the mother that engendered than,
(English Paper 3 - Page 3).
X Perhaps I will return' immediately
Do I bid your ebur doors after your
Fast bind, fast find; '
A proverb naver stale (in thrifty wlad.
: Farewell; and if my fortune be not cros
I have a father, you 'e "daughter, Lost.
(a) asų excond Daniel, a Dandel, devi
Now, infidel, I have (thee on the hip,
C: Give me my principal, and let me go.
S: why doth the Jew pause? take thy forfeiture.1
Dr I have it ready for thee; here it 14,
B He hath refused it in the open court:
My He shall beve merely justice, and his bond,
ATA Deaiel, still say Is a second Daniel.
I thank thee, Jew, for teaching me that word.
(To be continued oa
(Dext page)
ZITHER examine and account for Halep's treatment of Folonius and A treatment of Ophelis
b* "In Heklet character totally defeats plet"; discuss,
Compare and septrast' either Brutus with Anthony or Brutus with.Othel2ö, HITHER consider either KAMLED or MACBETH as tragedies of ravers and revenge.
Faversa
1.
-LERES.K
五、任帶下列一
明
之長法
sin e apae -
0,
2+
y2
'0
and the planes
b) Find the volume of the solid bounded by the surfaces
x2 + y2 - az =
0.
**
北牢聖與南华酒, 專上耪 統一文憑考試
. 二、影響中國
比較此二者之白然譞
KENT K
-1 YE
,有何特徵可見:濟史
(<)
然候對中國熊有何
各區之特點。 KEEKN-36H (DAWES PLAN 四、(A)南面流羅馬帝國前後,此二計新之婺點爲 〔Bㄩ作一簡圖 在英國又们以該護對劃,先有兩期對 11 KROKE YOUNG PLAN) ,沒有楊格計(
以首先發生於英國,世界大戰後德國路 T、工業革命何 六、關於第一次 其主旨與特點爲何?
經濟試卷二
BEK#1) -DĮ KEZWIŠJEM
經濟史題目
褶曲山脈之分佈。 及說明小商古陵塊及之原因。
構造之主要方向。起 發展之經過。 八B)謝坤 李英國自由的易第
七、第二次世界
分制世易十 慧 試以英:
別有紀 還九
|大戰多國際貿易與收
申論之。
*H-LOKA • (IR)
KON•
專上校統一文馮考試 地理科試卷一 中國地理總論
↓及「粤閧區」蜜
「要區別點何在?食就
題二十五分
凡張四下館 一、分中隔糸西 及蒍明中國之主要河。《完】
路澤年
BK1-KEHRSE SERVER 1
試,叫一臨區藥北之
逃生民四。
之之九
OR what impression do you get of Shakespeare's idea of the princbly
can' from TWO of thess - JULIUS CAESAR does the post present ££?
OTHELLO
HAMLET
HENRY THE FOURTH (Part I)? and how
BITHER IN TWELFTH NIGHT there is no attempt at developing' character":
discuss
OR show the importance to the play concerned of a proper estimate of ONE of these characters:
Falstaff
-Malvolio Shylock
SITHER discuss the treatment in AS YOU LIKE IT or the pastoral and
of the courtly
CR write an essay on TWO of the couples (e.g. Rosalind and Orlando). An AS YOU LIKE IT e as to show their part in the plot and the purposes of the play.
OR "THE MERCHANT OF VENICE is a play of great scenes, and of grea.. poetry, but not a dramatic unity": discuss carefully one or two of these qualities attributed to the play.
Part 11
7.
8..
OR, do you think there
What use does Shakespedre make or the supernatural or of the night?" EITHER consider what the term "tragic hero" means
any single pattern of tragedy?
Write on ONE of these ás it appears in Shakespeare!
nature; fongle characters: husband and wife; sub-plot: the ways Shakespeare enriches his sources.
10. Show how the structure of the theatre of his day has affected
Shakespeare's playa.
If you are interested in any type or technique of Shakespearean criticism which the vzaminers have not latbyly or Remonstrate in this paper, write about it.
(
(9)
四期器
日一廿月六年二六九一際公年一十五國民華張七第
補助學校文憑 英文卷二(繙譯
Foat-Secondary Grant Colleges Joint Diploma Examination, 1962
ENGLISH
Faper 2 Translation
19th June, 1962.
9:30 - 12:30 p.
Attempt BOTH Question I and question II.
Translate into Chinese either in the literary or in the colloquail style
from Section B:
Section 4
(1)
2)
ONE passage from Section A and ONE passage
What about force, though? While we are trying to be sensitive And advanced and affectionate and tolerant, an unpleasant question pops up: Doesn't all society rest upon force? If a government can
count upon the police and the army how can it hope to rule? And m an individual gets knocked on the head or seat to a labour camp, what significance are his opinions?
·臨死前二年,正計劃經營西,以杜
This dilemma doesn't worry me as much as it does some. I real that all society rests upon force. But all great orcative actions, the decent human relations, occur during the intervals when force not mariaged to some to the front. These intervals are what matter want them to be au frequent and as lengthy as possible, and I callA
then "civilization". Some people idealice force and pull it into t
foreground and worship it, instead of keeping it in the background
as long as possible. I think they make a mistake, and 'I think thei opposites, the mystics, err even more when they declare that force doesn't exist. I believe that it does exist, and that one of our j is be prevent it from getting out of its box.
Two conditions of special importance must be satisfied if lead ship in a democratic' community is to be effective and defensible. first is that an far as possible it should be open to men and wom any laes to rise to positions of leadership in any kind of activity This demand is necessary both on the grounds of justice and also because a belief in equality of opportunity is now so wide-spread leadership based on any other principle is in great danger of being incrfective, because unacceptable to the majority of men. It must be distinguished carefully from the kind of equalitarianism that, by minicizing the difference between individuals, attempts to reject
idea of leadership altogether. In practise there are admittedly ver great difficulties in the way of realizing the ideal of equality of opportunity. Some of them and remoralizing
hous
inferior education, the limitations on personal development inposed by poverty are all burriers to the emergence of leadership among a acetions of the community. A belief is equality of opportunity and
and
the necessity of recruiting leaders from every class imposes on soc an obvious obligation to break down those obstacles as rapidly completely as possible.
(3) Western Europe and America have a practically homogeneous sen life, which I should trace to three sources: (1) Greek culture! (2) Jewish religion and ethics; (3) modern industrialise, which it
(4)
(55
(6)
is an outcome of modern science. We may take Plato, the 014 Testamen and Galileo as representing these three elements, which have remain singularly separable down to the present day, From the Greek we der literature and the arts, philosophy and pure mathematics; also the more urbane portions of our social outlook, From the Jews we derive fanatical belief, which its friends call "faith"; moral fervor, wi the conception of sin; religious intolerance, and soze part of our natiozalion. From science, as applied in industrialism, wo derive power and the sense of power, the belief that we are as gods, and ag justly be the traiters of life and death for unscientific races. We derive also the empirical method, by which almost all real knowledge has been acquired. These three elements, I think, account for most our mentality.
(English Translation Page 21 Zection B
B
The next few days, under a sun that climbed higher every o grew figrier, and sent most of thea into thin white cinches, e Marukai steadily cut her way through en element chat had lost f resemblance to water and looked like purple-black marble, across which a few rapidly fading lines of foam went arrowing from ber 91 HNK Nothing was to be sown but this enveloping saucer 31 shifting an and a haze of sky; there passing chips, no birds, a leapins it was as if the Marukal bad sailes away from everything for av Only the orackle of wireless linked then with the outer world of markets and murders. The Marukai was now their world, and they without effort into her idle, almost pigay routine.
(1. The passengers.
3.
2. The name of a ship which may b
translated as Vere's first house was no more than a neat, bollowed out of tall grass bordering the drive, into which he used to leap from distante ao as to leave no tell-tale trodden path, and from wal could spy searetly on the garden, the lawns and the front-door. Crouching there by the tour, eaten alive by ante, midges and har bugs, only his hair and forehead showing between the saving t he would wait patiently for the reward of unsuspecting steps du rare delight of an overheard conversation. His stat was not and Ona zorning he was lying in it on his book, Bazing through the branches of the beech trees at the blue sky above, when he bedzad Swaze of a recurrent and rhythsical scraping sound that set his
perth on edge. He rolled over and scanned the horizon.
At the other end of the world, meanwhile, a joyous spring was it there. Floners of every hus carpeted the ground, and the fresh shouts of grass were reaching to the horses' knees. Swalla glided over the sunny surface of that stream which had already. 'degun to rise and to grow slightly.turbid.
Linus, on returning after his visit to the Satyr Nea-kuns these things with rapture. He lay naked in a godlike content weds! that gigantic white poplar, and watched his wintry sheepakin drž away, like last year's one, and locked across the water where, is the far distance, those jagged white teeth roald sometimes be
--ORIE - HERRKENK 一百八十餘落,盡冴弑*以下節勝耔禮
止省的馬費,術年爲民間節省二百 餘萬元,築堤岸,爲一勞永逸之計
無如他欠債不澄那一凶事了。李瀚寧是 丁說楨許多軼事,最令人敛敬的一件, 附規熱革。禮聘王湖綺爲曾經書院院長 鴻章的斯,他們兩人丁很有宓幣 ,京,李鴻章時爲直 總部,力一 張之義,願欠來坐」云云。 年才死於上海,年九十二丁楨 。現在然拆開,無話,只得補多 問,乃陳章救李氏,云: 的經婿,早年隨任四川。他對我談及,三百兩絞劍,凑足三千萬,訂閲蔭送 龍有座常,久然吓,思反璧,力不 固去,了此一事。 光緒二年冬團,丁氏升任四川總督 胎子孫之累,我借我還,易讓在伙, 從心。自蔟此生無報瓊之期,而又不願
下的土王帝也與露守防乖的部按探杌相通,她又能越和茲的廼夫最近曾經去尤,先借巿千元 • 以
,羽處過境而事先未有談妥利益的,便指,那兒旅行,在裴注名下的那塊土地上,作沿装之費,那貧微人也答癒 富商常为王孫有圆形,必等一些人开紧型器拼供支
,於是貸餓或部衆與部除之開瓦運毒畬醬】百匯。她能在那塊土地上,有某一個人, 傥駐守部除包E拊薄鄀陭揪械和沒收靑物。野餐。她隨那封信的客了一塊小石塊為該份說灣機。他知道,橫縱影 的名字很快便紅起來。在許多。計會與馬三段師父脫離紅徒關係,要不然,溍一河 會傷害了匯娜的酒會動的,他一追求她的人的當中,有一個富,側閃得個有家和奔,有國難投,他又想起了青年長老 了立刻將她織,不過她拿身 各人爲她倒,在舞緊緊,她,便算便宜了那婆娘,俺老柴算躉翹,迅箫了鹹,還
從造一件事,我們可見出丁氏的潜
打心,他老人家辛辛苦苦的案出渡一迨「橋」來:梨落
陪向者份了作先
half-way up the sky. They were not visible today; their place w veiled in miets. Silvery doves, unnumbered multitudea of the speeding up stream to their nesting glaess among the crags that RKR
overhung a certain blue lake in the forth, of which he knew noth
He wondered dreamily why they always flew, year after year, in the ?.
same direction.
II. Translate into English ONE passage from Section C and ONE passaga
(?)
(10).
(11)
(12)
from Section D:
Section C
在我們停泊的地方,燈光原是粉然的!不遇這些燈光 是黃而有暈的苗也經不能明了再加上了常便更不成了燈愈方 就愈甚:在繁星般的箭的交錯瓊泰淮河彷彿瀧上了一圍光湖 芒與霧氣騰騰的單着什麼袛晓了輪廓了以 曲線便消失於我們的眼底了,但燈光危觉驾不了那邊的脑 光是渾的色是清的,在渾沌的燈光裹┌派清辔卻真是
(8) “你看雲霞的海上珂甍明媚風雨的海上又是何等的话)
(CONTINU-ED) MEERNEL » DALMAUS 是她的待從;夜裡她白藍篓,與上特製新月的梳子,腦掛明的瓔珞,
雅於海波之上......
「大風的時候」『如駕養風寒,狂藏疾轉的在怒海上腦走:她的長袖拂沒丁。 *下雨的時候,便是她整愁了,落淚了,大海上,比都低頭靜默滯,古诗的時侯,
然,便是她細波,要提飄揚,中神輕柔而潇洒...............』
「從前的裁文,寫自然就專寫自然,寫個人使專寫個人,一読論到天下關崇,記。 今亂,國計民生、散文袒很少人性,及社會性與自然融合在一處的,最多也不過 句哭,流洵長太息,以示作者的感情而已;現在的散文就不同了,作者處處不 也選醒不忘自然與社會,就是卡抽杆的持人的抒個散次產,寫到了風花雪月,也 是現代的散文的特衡之一。
人與人的關係,戍人與社會的關係來,以抒懷抱;一一粒沙裡見世界,中義花上朗人行
SECTION D
柳敬亭、深州人,本姓,避仇,流落江湖,休於樹下,巧姓夠,善說書;將 ;吳橋蓮司馬、桐城何相國寫上者。常往來曲,與張燕湖、沈公麐俱、張、沈
●等以辭酒酵以往、聚悲吟,預鐡四座:鑊蓋,禁方愛情之流出多
府,出入之間,李隊,又酵松江馬提單中,鬱鬱不得志,年日八十餘
余,僑寓宜軒中,猶說秦叔寶且姑娘也。
左良玉,會對寧窿侯
(3. 一是日常雨初歇,旭日微映、和風徐拂,淡懷未收,巧並變驟與,難於等慈之上。
盛,四天豁然、湖山秀着,供在目睫,時卽倚南屏山,有怪石技棜> 餐
不關,松瀦響,真若萬彎空而下也。人領網報,以此山儒驗,能不信哉!皇 除禁字合,微雨潮帶,欽初,等人適互、相與舉,坐於宵舫之上。於
謢,水波蒼茫,謚山屨怕,恍如失。
!
1.净名,在杭州西湖)
水腿往記大江三共中之黃牛粪曰:“江水又東稱:黃牛山下,有灘名曰「黃牛殊 南洋贏疊起,長外高孌間,有色如人刀签牛,人無牛黃,成分明,託人所 業得究蔴,此變設面,加麵,踫途信宿,猶渓見此物,故行者諸曰: 黃牛,慕宿黃牛,三朝三暮,貿牛如故。」言水路秆深,廻望如一矣。』沈满感
髒中宮泰籽湖沿湖之苦。』馆照於真,脫口健成為器作。
(1.部「網」之暖了..
合的矩,