1989-03-01 — Page 29

華僑日報 All

郭日僑華

三期星日一月三(九八九一)年八十七國民華中

( 29 ) 育敎 開港 日四廿月正年巳己饜夏

姿院入魁桃辉

及漿、酒午

黃大仙區議會

本港 新聞

席及坊飛等數百人。 蒲崗、彩虹邨,石邨、慈雲各互助委員會主席間躺著交嗇,互祝者釐,桑麻共話,鄉情洋 下午三時半根黃大仙鳳鳴港行己已年節聯予支持,設鋆濕,以流操成。 、甜、新车胜元能說富處主任方歉、黄大仙、新一番意花燈及各項聖品,氣熱烈,成情美滿, 散酒會,將差出席嘉賓有黄大仙政務專員到娜未由家長共伯觀影劑師,雄而然烈競技 :「特館》黄大仙區議會同日 廿六員福利及參與社區財務,希望大家今晚多 每年均有舉辦春節對飲,甜樂活動,敬老獎學 恭祝大家新海迪吉,萬事如焦,事業追步。食 等共三百餘人。首由會長張仲致賀詞」

· 陳欣,會蘇,黃芬送-黃秀蘭-及會員親師 海棠,陳推,楊永,張文光,李楠號•李碴藻

·袁夕華,張啓,薛玉,蔡空與選實;潘 【麥漢南:劉快,周玉婷,黃穎,張强,蔡江

春節酒會聯歡 董事長優良的日本

主新健

風物,圖帶 舭花 特

跟著山區議會主席致新春賀詞,距多吉祥,並 表示今後埔系努力降木區改著居住遭境,使坊留意物品。(本報》, ,黃大仙全且區議員首先王台向嘉賓報案,左),會長張維斌,監本身族伯點(右)致逸 ::淇锎龍江同鄉會聯歡理事長黃振民

衆享受安居樂業的境歉。

扁陪同射健甜市员们嘉秀恩酒。一本朝攝).

·晅:黃大仙區議會者節聯歡酒會全體區望

***(*).... 三個防火糾察除接受、體成後,酒會散,氣 明、謝思桐、謝及鑽石山、下元崗、大型村 謝狀予庭內十四位人士歐超祺、陳偉、朱

·念相,柯林秀玲、英熬 由到副取过分别所發黄大仙医議會鋡

西門菲沙大學絛融商業及科學,不需拿 先生震陔集面執行董事,王光生學業於加拿大 *南北行集團主席岑玉標先生的委任王津

南北行集團委任

王津任執行董事

·及電腦化運作,積極拓展內外市場,爲集團再

... 王先王將會致力鞏固南北行集團行政管理

機台臺間,亦會於八六年獲選為香港十大傑出 -公民教育委貝會,撲滅罪行委員會及多個委

·共服務,現盤沙區委任,消費者委員會

r.翎;王谭先生

繼維開設分店及拓展出 集團計劃在一九八九年 最大集團之一,南北行

.與歡迎,爲同抵行業中

高級參菇補品,現有甘

加邁進新里程而努力。

大間分店- 備受廣大巿客

·南北行集團服務香港已有悠久歷史,經營

會順

少林國術元老

林祖師傅榮壽 洪世家體育

加油站之代理商其湖尚親主持剪綵。 福士、屯門警區指揮官钎招緊總警司 COP.M和成 [安太平紳士、立法局議員劉星套MBE太平紳 【公司零售市場經理倪立志,屯門政務專員盈率 覺開幕,並由(附圖由左至右) 香港蜆殼有限

·位於屯門農竞路最新蜆殼加油站前日発

蜆殼屯門加油站啓業

_少林洪 曼聯斯敬老生合“到有 宗福聯繫,聚斯情, 湛舉行第十四在春節燈 含風聯,自的是加强 宗親會於日前假理衆酒 年邁步。舉辦春節燈慶 (港)樊本堂,恭祝生意興隆

人 林祖身院、 程险体规行职安大會,到實服林世榮體育會全 林鎮輝及師徒脚合以载的孝道昨假叙福越林

,瑞及宗钽數百

窩衖寧學院會待林祖師傅逄七九歲科密其哲水,標,就過,料類 事會,誰往開來,造船 會會長,「華東、規檢:問,無 更多年青宗執,參加 宋臣焦元老:楚海明,克明,餘 金成立十四年,多謝宗 秃,玛·蔭悅,吉祥。 禮,集,紀容- 衍· 顧問葉榮民致詞,百 ;祥沛,亮明,餓榮 宗。

, 慶海,我海,葉良,視支持,今後希望能有 台灣父老、嘉賓及法律 ,副理事長葉輝

春節慶燈會員聯歡

葉崇本堂宗親會

、會世華、張向、廖子強、張耀基、林素: 岑光、莫義、梁死、張劍光、江周、李汛年

具德

春龍

儺江

切,萩中,破家世,劉植初,薛榮坤。理監事 也有小店,金點,陸振威,張仁傑 樂理監事展:蔡逢甲,劉怡東, 志成,郭福 王張儀、理事長、黃振民。監事長:蔡伯勵。 長:張仲葉 珠·薰,劉裕靬,李季 大黨酒樓舉行食區 師海默便燈大命。到有會

理事長業克明救盘年高。

·謝詞。隨後歡宴,席間

3

1989中學會考預習專

明流出版社

MILL & DALE PRESS.

Additional Mathematics (22)

8.

a) IF q=2p, solve the equation.

b) If q/2p, show that the equation

'has two real roots.

c) If pn are the roots of the above equation, show that p2-29+1=0.

x7+7x+6 x 0 and ?+7%-8 6

(x+6)(x+1)) @ and (x-3)(x-1) 40

x: -1 or x-C-6

and -8 x 1

W.S.'So

Revision Exercise 22 Miscellaneous .II

Section A

1. I, are the roots of the

equation ax2+bx+c=0 ànd:

show that b2={1mi}}ac..

Solve the inequality │x2+7x-1||

3. Find the range of k such that the

equation: 2x++(k-4)x-2(k=1]=0 has

ni real roots.

If 2*+2*x-5. find the value of 16+16

Prove, by mathematical induction, that for any positive integers(i, 1(4)+2(9)+3(16)swith(n+1) zygn{n+1} {n+2}{3n+5].

Section B

a) fàq, ay are two positive.

numbers, show that

b) Show by mathematical induction

that

...

where dj) dg udn are positive numbers and o 2.

c) Hence Show that

>

for aìl positive integer 3.

7. Given the equation pr−qx+q~=0

where p and are real numbers and

#Q.

Sol

if)

In the figure, ABCS with sides 1-uni semicircle withed.

PM=PG and.

![PAB=68 a) i) Express AM

If

Let S and S

the area of les AAB and AAMU tively, express S.

hsin(20+£) +K;

Dfind the values of h, k, and

tand.. Hence find the greatest value of S.

c) If 'Sq=45q, find the value of b.

correct to.1 decimal place.

(+)

fenlin)?

Solution: -8 -8 or 14 x <

A< 0·

. (k−4)3-4(2) {~2k+2}; <]

2 −8k+16÷15k-10 3 0

(444 1

:+225

25

(Ans.)

(23)

16+16+2 = 529

(Ans)

16*+167X = 527

5. Let P(n) he the statement

*1(4)+2(9)+(n+1)e. =n(n+1)(n+2)(3m+5)*`

Whening

LIH.S. = 1(4) = 4

R.H.S. = 2(1)(2)(3)(8)

P(1) is true.

Assume P(k) is true.

i.e. 1(4)+2(9)+...+k{k+1} 2 +(k+1}(k+2)(3k+5)

L.H.S.

=1(4)+2(9)+...+k[k÷1 )2+(k+1} {k+2)!

#pet(k+1)(k+2}(3k+5)+(k+1}{k+2jt. =(k+1)(K+2][k(3k+5)+12(k+2).]

#zz (k+1)(k+2)(3k*+17k+24)

= {2{K+1} {k+2}{k+3} {3k+8}-

*fz(k+1)[(k+1)+1J[(k+1)42][3(k+1)+5]

> 0

(1+aq } { 14 an} > (1+aq ray) { Proved)

b) Let Pin)-be the statement

When n=2

R.H.3. # 1+8+8g:

From (6) 18.5.>R.H.S..

P(2) is true..

1+8 +8

is true for n=k®

P(k+1) is true.

By 1.1. P(n) is true for all positive integers n.

c) From (b), take aj=1,

7. a}_q=2p_

(1+1)(1+2); .,+(1+n−1}; >i+1+2+...+0~1 2(3)(7).......[n] >.1+

(n-1)n

2+02-n

(Proved)

(n)) 2+2 (Proved).

The equation became

:px?-2px+2p-p=0

px2-2px+p=0 p(x*−2x+1)=0 p(x-1)=0

b) A-q-4(p){q-p))

=92-4pq+4p2 =(2p+q)> 0

the equation roots (Pro)

(Ans.)

ONG KONG PUBLICA

-(1-n)2=

ac(1+0)2 = mb?

2. |x2+7x-1| <<你

+7 < x2+7x=1 (7

* Ptk+1).is true.

By M. F(n) is true for all

itive: integers n. (Proved)

treatment,

the

15

from

11. You are not allowed to leave the

hall... you are told to do so.

A. SO

B. until

C.except

D. since

From (1)

q=

Sub, (3) in (2)

92 (2) - P

1=0

(Proved)

AM=AP+FM=AP+PB=sing-cosA(Ans)

8. a)

ii)

AP-PB

psinecose = {sin20 (Ans.)

ZAD •AMsin(902-0)| (sine+cos)cose

cos20

sin@cos9 +

<in20 + (cos20+1)

(sin20+cos20+1)

b} 5 = {[2$1@28+cos20] + −

ARIES

LIBR

oots,

.(2)

-41020

CD329) +

cos2日)+

(cos£stn20+sinдcos20) +

sin(2G+4)=1

tand

s - Bl istic greatest

value. (Ans.)

(sin29+cos20+1) 3sin20-cos201 3-sin2日 √10

10

sin(20~18.4°) #

sin20

(Ans.)

(Ans.)

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先取錄目

15

904

#47

29-18.4 18:4" 9 = 13.4°

-(Ans.)

25. This is not an

A. exhaustion

B. exhaustive

1989 中學會考預習專欄

明德出版社,

MILL & DALE PRESS

English (22)

After

injured hospital.

receiving

victim

A. disengaged

B. dispensed

C. despised

D. discharged

5. The computer is really an

invention.

A. ingenious

D. ingenuous

C. ingenuine

D. impossible

6. The makter is highly

You

aust keep your mouth sealec.

A. confident.

B. confined

D. concealed

A. neglect.

B. negligent

C. regligence

Dear Students,

Today's issue will be an exercise

on Vocabulary. The correct choice of WOT is used in sentences is very Be careful to avoid ching ish expressions. Besides, try to

the distinguish

various shades of meaning of the words given in the list. Consult'the dictionary. If necessary.

In each of the following questions, decide whether one of the four choices mast. suitaolycompiéte the if inserted at the place

sentence. markod

old man fives.

A. Ionely. alone

C. confidential

7. David was sacked because he was

of his duties.

D. negligible

A. favourite

B. favourable:

C. unfavourable D.flavourable-

3. Swimming -pastimes

and feels

öne

9. He felt very disappointed because

she 'ehis invitation to.dinner.

12. John's father has strong influence

on him. His words

A: carry

B. mean

C. affect.

£. are

weight

18. My watch does not have to be

up every day.

A. winded

B. wounded

C. wound

D. wind

19. The manager is worried about the

decrease in the sales.

A. marked

A. prominent.

C. noticed

D. distinguished

13. Jane loves writing and she often 20. The high-income families are rot

articles to the school

newspaper,

A. issue

B. subscribe

C.tontribute.

D. distribute

14. Mother's dishes smell

She

is really a good cook.

A. appetising

B. appetite

C. appetise: D.appeal

15. There are

the committee. A. together

B. all together.

Cal together

D. together with

.....for low-cost housing.

A. legible

B. eligible:

C. able

Da.capable.

21. The football match was

fortiight because of the rain.

A. postooned

8. cancelled"

G. delayed

D. abolished

for a

22. My father is

with my results

seven memberis

in the examination.. A. satisfies

B. satisfying

C. satisfactory

16. John's

to:drugs: made him

become penniless.

B. alone...lonely

Cu alonely...onely

:D. lonely...Jonesame

That's

I cannot imagine he

would behave like that.

A. refused

A. incredulous.

8. rejected

B. incredi table

C. dejected

C. credible:

D.. declined

Dincredible"

A devotion B. addiction G. preference C. passion'

Do your understand what the notice.

10. If you want to

your goal, you.

?

17. I was

∙A. wrote

B.spoke

C. told

D. said

must try hard.

Again

B. obtain

C. achieve

D. acquire

A. woke B. awoke: C. awake D.awakened

loud sound.

D. satisfied

23. The Clean Hong Kong Campaign is now

in full

A scale

B. swing

C.operation:

D. action.

24. They look so alike that it is hard

to

one frois the other.

A. make:

say

tell

see

1ist. You can

add some more ideas of your own.

c. exhausting

D. exhausted

26. John is very stubborn. He pays no.

to his father's words.

A. heed

B. ear

C. service.

Di charge

27. AIDS is an

A. inevitable

3. imposing C. indifferent:: D.. incurable:

28.Henry

is

disease.

writer:

publishes many books each year.

A. profitable..

B. poor

C. prolific

0. productive.

29. Winnie is very responsible. She

bapew her duty well.

A. Carries off

B. performs

C. acts:

D. works

30. She suffered

burns in the

fire.

A minor

B. Light

C. small

D. little

Answer's

2. 0

D

17: D

21. A:

18. 22. D

5. A 5. C 19. D 10. C $3. C. 14.

15. 19...A C

8. A

11. B 12. A.

16 B 20.0

B 23.

24. C

25.A.

26.

A

27. D

291C

29.8

30.

循道衛理中心展 聘講下列職位 助理員:需中四程度,都拉

下午及晚間工作, 5會計文員: 譖中五及LCC 中 自營地助獎: 男性,體溫,能負

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某大教

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