寅四第五鑣

日四初月三年来丁屋复

WAH KIU YAT PO

日四十月三年七六九一厩公年六十五國民

青教僑譯

中文中學會考試題預習專欄

英文中

會考試題預習專欄

AD bisects BAC

EXAMPLE

In rv, ABC, (Cmrt.L, BD//AC, ED – 24B- Prove that /DAC/BAC.

英文科

( 二十 )

數學科 (+) ·歐陽鉻文、

B

(20)

“Answere ́ to me “previOS GESTOL MEDI

1. A woman's part, ip, the houses ieito run"the household.

2. Because he was very dirty

1. In Povey's opinion, Cyril went to the cellAITTOTITI 2D SON.

his parente.

4. He meant Cyril misconduct like that one bad to be corrected

5. Because she was afraid her husband would be too severe to

Cyril.

6. Mr. Povey punisneq Gyri)..

7. Because it meant that Mr. Povey was right that Gyril muka

be punished if he was to be corrected.

8. Because abe was sorry for Cyril.

9. He was not yet five years old,

10. Crisio

cellars

maas

dangerous moment

rooma underground body

at liberty

Iree to

give way - brear

ignoring

compelled

paying no attention,” to

forced

hissed made a sound to ask somehods"to"speak softly

descerided

mysterious

tradgedies

Came down'

difficult to understand

sad events

Exercise 20 Translation

1. Translate the following into Chinese i

He was of noble birth, it appeared, a lawyer of profession. Some trouble with the quthorities had made it necessary for, him to be much abroad, but now he was on his way home'.

"Are you married?' he asked me.

I did not see what business it waw of his, but I told

him that I was. He sighed a little.

I am a widower, be said. "My Vire was a swise, à native of Geneva, She vee a very well educated woman. Sha“ spoke English, German and Italian perfectly. French, of course, was her native language. Her Russian vas much above the averag for a foreigner,!

He called a waiter who vas passing with a tray full of dishes and asked him, I suppose, how much longer we were going to wait for the next course. The waiter, with a rapid exclamation,hurried on and my friend sighed..

The waiting in restaurants has become terribly bad. Be lighted his twentieth cigarette and I, looking at my waton, wondered if I

me to star should get a good meal before it was time for

My wife was a very remarkable woman, ne continued She taught languages at one of the beat schoole for the daughters of nablemen. For a good many yeare we lived together perfectly friendly terms. She was, however, or a jealous nature and unfortunately she loved de quite madly."

It was difficult for me to keep a straight face, he was one of the ugliest men I had ever seen. There is some tinee. a certain charm in a red-faced and cheerful fat man, but thi devilish fathees vas. repulsive.

ints:

"authorities m

widow

above the average

next.cofiree T

friendly terms

蒜道菜

相交

keep a straight face-

remlcive —— QY

ranslate the following into Enellab,

上官大見而欲登之子不滿。因讓之日,工便

為非我莫能看也”王思而疏压平

BIRTS,

IMPORTANT THEOREMS:

CHATHEMATICS (20)

LESSON 20: TRIANGLE(T)&-INEQUALITIES

MATHEMATICS ((20)

LESSON 201 TRIANGLE (1) -& INEQUALITIES

A) For congrence of triangless

(2) ASA;. (3) AAS; (4) 699;

B) For Laoscelea triangles :

1) base (8, isos.▲ (are equal).

2) sides opp. equal si are equal"). 3) bisector

ES) RHS.

of vert. bisects also the base at rt.£.

(the converae is also true.)

4) bisector of the axt. of the vert./ is // to the base.

C) For rt. Ai

1) It is always equidistant from the ala-Doint or the nypot

enuse to the three vertices.

2) Hypotenuse is the greatest side in a roo

3) In art. A with one acute / =60"(or 30). the aypotamuse

equals twice the ahortest aids,

D) For any triangle 1. theorems on inequalities):

ext, of a ▲ > any int. opp.

2) any two aides together > the third: alas,

3) the difference between any two sides < the third side.

4) The greater side has the greater opp.

f the converse is ulso true )

EXAMPLE 1 In ABC, AB>AC, take points D,E on AB AG produced

resp. such that AD=AB (AB +AC), Prove that DE bisecta BC.

Gmen

to Prove

A ABC with AB>AC. "AD= AE ==(ABTAC)

DE

Proof Lor DE cuts BC at P.

BS and lef

CE

De af F AD = AF =+(AB+AC)

AB + AC AD

given

AE

AD - AE - AC

CE

and BD/CF CFE= <£ (= < ADE)

Proof Let N be the mid-sf of ED

Join Br

In of a DBE UN is the mid-p of the hypotenuse DE

NBIND=NË

A

From ABAN ~ BA = BN(*‡ƒ£D)

• Hom ANBÞÍKU NGEND

Hence,

But day, lat 23, BoŇAC)

Q = 2.0

• <DACEŹLBAC

MPLE_4: In △ABC AB DAC, BD, CE are the biasctors of B. G

Proof

resp.; prove that BD CE.

The proof is given here in outline form:

* ACE > ABO

(2) Draw CX such that - ECA-LI

4801 > < CBX BI > <X

Ther

EB Take Mon Bx

B

BM=CA&M lies between Bux

Draw MNACK ON tres between B and D3 Then, acÊX 5 A BMN. (ASA)

BNS BD and. On E

HINTS & ANs. To Ex.19

B

·CE = BN

Sol From • GNF g=4

from

'.

g

From ABCF. From A ABE

=e+f+A

b=A+2ZE.

- DEB = ZA+zce+f)

From )4(2):

- DCB = 484 ZIJ=29)

A+B=煤头

given . comm

ADIICI

1305

· As shown in fig QDR = <DPA=+-DAC

chag:: Mgram

SXAMPLE 21 in 25

as tas mud-point of the nypotenuse BC. such that D 118s on opposite side of A and that DU BC. Prove that AD bisects /BAG,

Draw MD3

Given & ABC with LA

BM = MC = MD

MDLBC

AD bisects « BAC

Proofi Join AM and draw AN IIMD

MD & BC ∵AN + B4 Since Mis the mid-it.

KON

MA=MB=MC

<MAD=<D

Chypotenus

Since

Prince Vai)

minister

an official” surnamed Sheung"Koc

By adding

3:1

of_the_sane Tank

*0= ad. -

(b) If ABCD is a figram

Then

Hence,

(cs. If ABCD is a rect.

Then. ADF = A BCH ·

• 000 is alsalusto

As shown in fig

Let AC meets HF afo Join AF, HC

Since AHMË DA CFG (MAS)

AHCF is a ligrom (AH&FC) O is the mid-p. of HF

LAPD IS 1305.

(E0 such that «QDC **5+90 =135 DQR=$1180-155)

of a DKG are:

RCP = RO

RP= RC

Sof: AC is a common diagonal of

ligrams ABCD.

"APQK and RYCR

AADC — — AXQ +<QRC+#gram XORI

gram XQRD= ligram PBYQ

735

complement

of

<NIC= complement of a C

MAB=2 NAC

CAD

EXERCISE 20

17 In ABC, ABAC,AM is a median. Prove that BAM</CAM.

2)In △ABC,AB=2BC, B=2/A, then c=rt./.

3) TE AD,BE OF are the three mediane of 4 ABC,

thai. 20 AD+98+CF) >AB+BC+ CAD AD+BE+ CP

L; in ngàyas amown, the disector of BAG meata

at P. the line which bisects BC at right /s; FX, PY are the perpendiculars from P to AB,AC Find in the figure three pairs of congruent triangles and prove the congruence, Prove also that AX == AB+AC ).

DROKbite

濉 心是中國 上欲在救刚交

插下,,思化?

用則一人想史,

而體施入火子也

主必:

(需詞句訂英料,

隱名

農生及所屬學校名稱行高

一. 於跨治後,由向校

方報告, 校方於

葛師主辦九龍新界師訓班

實體覺校長,不日

[骸會以辦。

筆試通知書發出

月十八日(星期六)

定二十三日下午四時三刻,魔靈酒根聯合股, 在該校舉行 考生須依期報到

者二第消尙*

注頁四息有,

意請張刊教

記第在育

者注意

·公司英文中學外

虹現

要讀

.昭、神父祝蜚骸核新立之聖母像時情形。另,雙方已擦同意, -二八室,各学生須依時報到,適時將不鏵准谠入式塔。「琳), 利猲巽醫院蓽生酞修藋、余專員與其醫生洽談敌 名額提高。

好能力,爲-

裕時 ;得隨時將肼醫助樂

[闰月腊仔助來各類 二百名,將來該會之認 百名,部杻年二千四

將於今年夏季起開始 實施,在辦法初期,

發,到九団 加士居道陔校參加筆試。苎煤爲該校之禮堂及二七二 月二十三日下午四時四十五分,帶備墨水箂冷原子箂及准髫通知 名之訴試通知,已於昨(十三)日掛號寄出。考生須於三 調神;為年度新生入學申請書,經已整理完畢,由該校校長羅宗 六淼)簒洪師崴專科學校主稣之九髅及獅界區在職激與可逗委會會額,檢討

,由談會彙集之診 收疵用,於年月初 約之醫生處眕治,说

「複取影症咭,

向任職域就讀之庭 ,爲不幸患病時,得 緻際縱愛職緻及學生 凡屬該會所材

現牅F班學生需要內容槻富 已於三月1日出版 專供

國文課程及問答

[ 鄒炳谰君之新著

一九六八年英中會考用,核計數字,由被

~將烤者於龍往

恐酣,須將咭上坟明

會代爲付醫藥費用

麼得生會:藥時

. 港大工商院到鲂向六琯博士致紀念品,并右起:石

『學生代表、陳博士、陳夫人、葉振

追句碗要,將飲育司近新自一九六八 「特•香梅思出版社爲遊國各校

年起阮施之英文中學會考中文課程,編印

一容浸雞計試,年

○戀,日盤適,有選辦任, 發八門絕出庭宜注全預驗次

演採各印

决擧辦贈醫助藥 新區天台校聯會 促進所屬員生健康 已與醫生商安夏季質旅

十一號十六樓棋社洽詢。(卷)

《中國社》著九 新區天分學校际會爲

生健康,怒决定舉辦 促進所屬會員學校員

論響應文化復興運動

與涵時宜的迫切需要還的。 中華文化復興運動,活一個含有意载 君子之於天下,無遇也,無數佔,劇之間

鍵,以流傳久了且夫。天之所,地 神其崇高之地位而不閂,尚非有其沉實倒,酸之時者也。” 大人心,根梁志固:下新中國人應很愛雙道,可以速而速,可以久而久,可以选 愛牌,而在千百年之後,亦依然存在,一能與世推移,開物成務,時掛咸宜,故日 ,而外國入冰就重之,不能一時一地之人,而處,可以出而此,群入不潢卻於物,市 中國文北具有五千餘年之歷史,其之道也,去啊,則日接淅香行,去他國之

,不能一日缺者。

效寳、獸質

希特

名,做不鸟

「具見中國文化在世界文化史中,實佔首 誰也

全世界人類,中國人口佔四份之一, 安傑:願名才智之士,斯薛文化之明顯

【之地位,而越南興國日本之語言文字,本案會漏剂:否感堅實,道之不那 芝以難,德不孤,必有鄰、文化復興 久矣。天心區,隨粝必復,天下,

|深受中國文化新陶冶,而獨樹一轍。

.文化發達,爲文明國家,政治明

警所戰,爲將不同,同歸於洽,爲顯不同風光,則億兆民之讓幸也。 勢必安成暴戾六誰,南非波製之民性,尙,若火平之聚財,拿著人能弘道,文江 ,人民樂,文化節滅,則爲野賢民族,,海內外僑胞,莫不如撒斯應,引以符

,陶歸於亂,此之謂也。

物可。

英文補習社

成績優良

切翻

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