1978-10-10 — Page 24

頁四第張六第22 日九初月九年午戊

WAH KIU YAT PO 郭日懦華

一

六收弘摄聚浟之效。

「多「成功名流」常因] 「風或人物」,社會上時

不可靠。猶史上許多「

日期邀麟名學者恆星博|醜」,人能木此原則處一悴。 黏,等設專題講座,整」,「美」是真好不唯之正確人生觀,必無此 新明配合推進」「書」是不「県、失敗。若鶴氏有眞路案

講眞善美的人生觀念之幾,由成功而還於

眞鬙美在思榧行協

「萬」之爲「眞實不一且與其共事,崧了解其一世界矣苦。 四川-!美爲人之一時,實行一致,始能難民族國家以至全世界 【道之重要性,并說明 成「倘虛餘的人,一,便可連到新明之理想 |鷄案绣煤,朱氏首先 仍须整成髒懷,忖囉實價相處以試,普及於社 爲「眞義美之人生啊」「造,運到溪前美水準, 即可常見光明,人與人 上週日朱氏之霧題】功亦隱失敗。故心理做一大。實義發行之有,

| 林素食店地宮舉行,大 但人而無多行不葬, 豐淑釋。泾適日下午三世;當可無往不利。雖 時殼巾纸士丹利番妙答 然命運可以日我創造,但上具有無比的力量,你 亦難在社會立足,刨成才可傯「懲祧」發揚光

·必須有美之根基,

青渭愔琴露

新明聖教會朱恆星

下青城

出新浥

生夜

並月松

棲兮

防勸輕

關君車

無更客

故盡舍

CKEKEXBEE i alt >

(KKK)

霧髙松今滴丸を

.赫爾好 膺站

培

格兰

天理

地

至隆

誠往

二期星

余學章隸書

日十月十年八七九一歷公年七十六國民華中育教化交

永靖與清

前。磯學此皆及貓,而老

畫,每日由上午十時至下午六時,星期日休息云。 前往參觀・今日公假,照常出。佔地址在中環曇咸街一號南大厦一 、花鳥、人物等,消新可愛,各所畏。由於作者太多,未能盡錄,最宜 磯、胡振郎、吳玉梅、金光澈、張桂銘、楊正新、張飾標等,作品有山水 | 學生汪大文·繼承師体,作品徼件,爲肯爲妙。年輕愛家如蔡天雄、張培 此次展出近作数幅。程十髮人物畫,港人甚爲熟悉,有多件凸發出。其 皆有好幾幅作品。黃幻吾有花易數件。进影演員超丹,亦善媽山水花鳥,

李海楷書

〔大楠六區文協會展出)

燕軍時於賀蘭山杜志航祭胡有肉此次活動, Lathe add 激烈三十功名來與八千里路雲和月莫等閒 CARONI do a d

聖賢之隆德

CKEKERBURE)"

·古樓

上海畫家作品展覽 集新老作者於一堂

二十週年

张辦「上

*****

今日公衆假期照常展出 品內客訴雅

化

1979

中學會考試題預習專欄

明德出版社文長波提供資料

數學

Hathematica 1

Section B

This course provides the

candicates of HKCEE 1979 a

general revision in Mathematics

(Alternate Syllabus B). A

knowledge of mathematics up to

HKCEE is assumed, and the

subject is developed by a

concentric treatment in which

each exercise is used to

illustrate ideas already

treated.

Exercise 1

Attempt All questions in

Section A and any Six questions

in Section

Section A

1. Form a quadratic equation

whose roots are the aquare

12 of the roots of x2-x-5-0. Express your equation in the

form ax+bx+c=0 where a, b

and care integers.

2. Find the value of x if

510gx=1+41og2-10g5

the base of logarithm being

10

3. If tena-2 and A is acute,

find the value of

SINA-COBA

sinA+cosÅ

If 88in e-9cose-6sinecose,

find all values of

(0° 8360") that sati equation.

5. One liquid contain a 22}%

the

of water; 'another contains 27% of water. A glass is

filled 5 parts of the first

liquid and 7 parts of the

second. How much precent

of it is water?.

6. Two persons, A and B,

hold

a field in common at a

rental $14400. A puta in 23 horses for 27 dayai

and B. 21 horses for 39 days;

how much of the rent should

be paid by each?

7. In the figure, ABCD is a

parallelogram. DE 2EC.

Find the ratio of AF to FC

(Geometry theorem need not be quoted when used.)

D

8. In the figure, BAF, ADE and

BCE are straight lines;' LE=30°, ¿F-40°. Find ¿CDE.

9. The graph of y=a~(x+b)"

passes through the points (0, −3), (1, 0) and (c, 0).

as shown in the figure.

(a) Find a, (b) What

the greatest

value and C.

of y.

y=α-(xfb)

101The perimeter of a square

is Poem. A second square

is formed by joining the mid-points of the four sides. A third, fourth and fifth squares are formed in

the same manner. If the

perimeter of the fifth:

square is 1.5cm find (a) the ratio of the

perimeter of the first and second

squares. the value

the sum

(b) the area of the triangle

and

(e) the greatest angle in

the triangle.

14.In the figure, SABC is in a horizontal plane and DE is vertical, The angle of

elevation of A and B to D are 45o and 30o respectivaly,

If AB-100 m.

and

CD-bm. Find

of the perimeters

five squares. 11.890 is paid for a task which

A can do in Judays of 8

hours each, B în 4 days of

9 hours each and C in

of 10 hours each,

(a) Find the ratio of their

3.

hourly pay.

(b) If B and C were together

what is the total amount

they will earn in 10

hours?

(c) If A works alone, how long will it tabe him

to each $40?

12.A 36 cask contains 30l of spirit and 64 of water 12

are drawn out and the cask is then filled up with:

spirit. 12 more litres are withdrawn and the cask is

then filled up with water. What is the final percentage

of water in the cask? 13. In a triangle, the sines of the angles are in the ratio 4:5:6, and the side opposite the smallest angle is 20 cm. Find

(a) the length of the other

two sides

ZACB=90°

(a) the length of AC and BC

in terms of h

(b) the height of CD.

15.In the figure, PX bisects 4QPR and PY bisects ZRPS. M is the mid-point of XY. (a) Show that P lies on the

circle diameter XY. (b) Hence or otherwise,

prove that

RY-RX-4PM RM.

16. In the figure. AB//CD,

BCLCD, 11 AE-EF=BD,

that

(a) BE-BD

(b) LADC-4BDC.

1979 中學會考試題預習專欄

明德出版社魯榮家提供資料

物理

PHYSICS (1)

Mechanics

Exercise One

1. (a)⠀ In figure 1, a wheel of mass 100 kg and 10m, in diameter rests on a horiz011 - tal surface

Figure 1

(i) What horizontal force

Applied at the axle would.

he necessary to enable it

二宜水培:

to surmount a step of height

meters?

(ii) What is the direction and

magnitude of the minimum

force exerted to the wheel

so that the wheel will

pulled up the step 2: (b) In figure 2, two blocks of

masses 10kg and 5kg are

placed in contact on a frict- innless table. A horizontal force F is applied to one of the blocks.

10kg

・5kg

Figure 2

Find the blocks if (5)

rce between the

15N, is applied to the

Ikg block,

(ii) F = 15N, is applied to

the 5kg block.

2. In figure 3, a block hangs

from a spring balance

supported from the ceiling

of an elevator

Figure 3

cable

(a) If the elev, tor has an upward acceleration of

2.5 ms and the balance

reads 10 kgf, what is the

ture weight of the block ? (b) What sort of motion will

the elevator perform if the balance reads 6.4 kgf. (c) What will the balance read

if the elevator moves up- wards with uniform speed. (d) What will the balance read

the elevator moves down- wards with uniform speed ? (e) What will the balance read

if the elevator cable breaks?

3. In figure 4, a uniform

ladder of mass 160 kg and length 10m is placed with

its upper end against a

smooth vertical wall, ir

acting

on

the ladder.

(ii) find the magnitude and direction of the force ac

ing on the upper end of the ladder.

(iii) find the magnitude direction of frictional force between the lower end

of the ladder and, the hori

zontal floor.

(iv) find the coefficient,

sliding friction between ladder and the horizontal

floor. (v) find the resultant force acting on the lower end of the ladder.

4. In Figure 5, a bullet of mass 0.01 kg is shot, hörizon- tally throng the centre of 2 kg wooden block A with

1 velocity 2400 ms and becomes

embedded in a 0.99 kg wooden

block B. If the centre of

gravity of block A is observed

to rise a vertical detauch

0,2m; calculate

(a) (1) the velocity of block

A after the bullet.

emerges.

the lower end of the ladd my

is 6m from the foot of the

·wall,

Figure 4.

(i) construct a force diagram

indicating all the forces

(ii) the velocity of the

bullet as it emerges.

hlock Ap

(h) If the centre of gravity of block i is observed to

rise h meters

and h.

A

B

Figure 5

5. In figure 6, a uniform rod

of mass 1.2kg, length 6 murd specific gravity #1.5 is

hinged at one end 3m below

the water surface. A wright w is attached to the other end of the rod so that 5m of the rod are submerged,

Figure 6

(i) Where is the point of

application of the buoyan force exerted on the rod (ii) Find the magnitude of

the bouyant Force mentioned: in (1)

(iii) Fint the weight *.