1967-03-21 — Page 17

CITY

HALLAT

頁一第張五第

日二十月二年未丁麼夏

育敎僑華

WAH KIU YAT PO

UXER-ELEK

·當然亦受歡迎。

KEPUSZE

工業學院凄學部

JANKOHE · M

·師學,亦成爲年 、中、高各級程度之

正极繁多,且包括低

遍佈港九新界各地, INER - PREW. ||阿署成人教育部所

受各方之歡迎,夜

| NIKE - BRGE

北大棠對高深知搬家时

日程開辦,成為 年 理、工、商等數百項

CUS-DETK

ESKENEKKEY]

「供良好泡會。花

夜校,粒提供

1日,各私立學薢變

一泚風機構開辦之夜校

,居或入敦府及工學

學文

中文中學會考試題預習專欄

☆

英文科

(ー)

鍾英。

( 21 )

suggested answers to the uravious exaTULOS E!

A 7.1. ASHA VERILE TVO

家

YOUR CAX

美与他你干?但我仍告诉他我是已婚的。他能了 微・一の

三月十九日 :

函來者

合起

樂

PROSER • #2

期期

日一廿月三年七六九一层公年六十五國民部中

梁氏宗親總會

訪問遠東中學 、

近於。

更

或是個鳏夫,他说“我已酸的馬子是瑞士日内瓦人, be LALŠA† 19l-nkinan 1812 ★Azáli£ 法语更不用说因为这是她的祖家说。俄文也比一般的

英文中學會考試題預習專欄)

And,

六七年

數學科 (+-)

·歐陽鎰文·

MATHEMATICS (21)

AB AF

BP= AH

AABP = 2FAH)

~AP=FH

12. AM==÷FR

Sides of proved

5.4.5.

Com sides of EA

LESSON 21 MIDPOINTS & INTERCEPT THEOREMS

・裡徳的一個一礎学 $ $ $ $ 16.

'And, 2 + a' + - BAF ÷ RVĒKS

& <BAF=HL a=t.

ARIFH

ad

as on sf, line à

:詫異地叫一聲便走開而我的朋友随着歎一晚..

25 10 1755 12th-14 添烟,我看:腕錶时間已至恐怕很难舒服吃这一

ak Ab

我的妻子是一個了不起的婂人,他继续说下去, “她在一間最好的贵族子学校教语文。许多年来我

·們交媒都保持友好的関係。但是她天生奇难而且 疯狂的爱我。

我很难和他正面相对,因为他相貌奇醜

性可见的最醜人。有時一個胖子你对他的江 問眕起私欢容会觉得一样美但我这位朋

ut Puan was also called Wat Ping, Hie ancestors belonged the name tribe as the royal family of Chor. wut zing was u mintstar of Prinos Wai of Chôi, de was learned, taotrui 10: polition and proficient in social intercourse. Internally bệ discussed the important mattere of the nation with Fringe Hal and

gave omlarni aztarnally. he entertained the quests from the various states, and went about dealing with princes. He enjoyed the rest confidering of Prince Vai, in official furnaged Sheung Koon, who we in the same, rank as Hut Ping, wanted to win the favour of the prince and envied mut. Ping's ability. At one

Prince Waï told wat Ping to make some laws. The draft was res

ann sneunt; Zoon wanted to take it by force, but Wut Ping refused to give it to him. Then he buckbit Nut Ping before Prince" Wai, saying, "Your Majesty, we all know clearly that wit ring he told

to make some lawa. Whanavar a law is announced, be brage about

it and says that only he can make such an excellent law." Then Prince Wai vas angry with and watranged from Wat. Ping because of

He

Exercise (21

General English

тать -in

anketa:-

the right form of the.

are very lucky to live in a

of history when ́ the eurça's scenery (be) beautiful and interesting. It

not (be) always so. In fact for something like "tores quarters

or the time since the oldest rooks (Tora) the land (00)

low, (wear) down by ice, wind and rain until the only mills

(hel duli, flat and rollife with streams ( wander) SLOWLY in areat curves between them. Only at long intervals (be)

there any Tanaval. Then forces, whion we not (understand')

fully, suddenly (lift) the continents to pulla muge moun➡

tain chaina. Climate (obangs) and (become) colder, Ice

(cover) the mountain tous and rivers of 108 (crawl) downwaras,

2. Explain the meanine of those underlined in the following

sentences1.

a. His words aled awuy into a whisper, and all stood motionless

in amazezent

How cool I feel; said the boy and he sank into a delicious

His strength was like that of the beetle und did not matter

to us"

The life of the mole 13 an amazingly strenuous one. They came all together at full spoon, maxang struight for

our meadow

f. I never yet could make out why men are so fond of this

SOTEE

Forseus went on boldly. past many an ugly sight, far away

into the heart of the Unshaven Land.

h. We had hoved to run across some of our old friends 118

we were in London.

A) MID-POINTS THEOREM:

The st. line joining the mid-points of two sides of a 0.11

(a) parallel to the the third aide, and (b) equals half the third side.

B) INTERCEPT THEOREM:

The at. line drawn (a) through the mid-point of one side of a m and (b) parallel to another side.

bisects the third side

OR, the INTERCEPT THEOREM may be generalised as follows:

If three or more parallel at lines make equal intercepts on) on a given transversal, they make equal intercepts on any other transvaa

EXAMPLE 1: IPRS are the

lateral ABCO.

Join AC

10-points of the Prove that PORS

(des. of any

sarallelogram.

DS = SA and DR=RC given

RS LAC (mid-pt. Th.).

Similarly, in a BAC : 7, Q are mid-pla

(of BA BC resp.)

POLLAC

Consequently, RS #PQ (1 $AC)

PORS 13 a lgram,

·Trip sides

EXAMPLE 2: Prove that, the st. Line joining the mid-points of the

diagonals of a apezium is parallel to the bases and

fference of the two bases

equals half the

GIVER Trap ABCD with apdar

To Prove: (1) EF / ADIBC

Proof

And

EXAMPLE

Q) EF == ( BC - AD)

Let

G be the mid It of AB Suppose Mat G, E, F are non-colline a the contrary result here

Join GE In a ABC.

LLABD

We prove

of AB, AC resp. (given) (mid-ul. Theorem)

G. E are mid-

GE £= BC

GF are mid-pt.

·GF £L AD

of AB, BD rest..

• mid pt. Theat

GE|| BC ▼ GF/IAD (Giver & provedj

GEJ GE

Collincar

LALIBE

GF ==AD

£F = GE - GF — $ (BC- HD)

(1) We should complete the proof by adding the case. AD> BC,

When AD BC, EF (AD

BC)

(2) This problem may also be proved by another method.

.g. Join AF and produce it to meet BC at H.

Then, AFD=AHFB (451)

EF are then, the mid-points of sides in QAHC, Hence, EF//BC and BFHC BC AD).: ABER, ACGH are squares outside ABC. A is a median and produced to meet FH at Q. Frove that

(1) WOLPH (2) AMFIRE Proof: Produce AM to 'P St. MP=AU

Then, ACPB is a ligram

far the diag. bisect each other „, BP = AC=AH (opp. Sidce LABP + = BACHI Cont

But, <FAH+LBAC = 2 the

ABP÷ZFAH\

At the end of the long journey he was quite done in

Write down the question to which the

a. Besides a hirthday oake my mother za

to the cinema.

b. I wish I could.

o. We had a wonderful time in amerios.

d. We

are invit

the Lims to dinner

EXAMPLE 4: ABCD is a parallelogram and HK is a st. ling outside

the parallelogram. AP, BQ, CK, DS are the perpendic ulars from A, B, C, D to HK. Prove that AP+CR=BQ+DS PROOF: Let AG meets BD at 0;

Draw ON HE

Since, APRC is a trap with AP//CR

0 is the mid-pt, of AC & ON/AP//CR.

ON is the median of trap.APRC.

···ON (AF+CR)

And, in trap.DSQB, ON (DS+ BQ)

(AP+CR)=(DS+ BQ)

APCR - DS+BQ.

HINTS & ANS. TO EX, 20

"Proof Produce AM to E s ! ME ¤ AM

ABEC is then a

#gram

AB > BL

asa,

Proof Draw ¿ACK=¿A then Hence, CXBZZA

ACB

LAEBO BE + FAC >BC HAFCA CFAŹBA > CA

Yom of 4 DAB AD+ ± CB > AB

Adding, AD +BE + CF > £(AB+8C+CA).

Produce AD TO PS ★ DP-AD Join BP

From ABP÷

AB+ BP » AP

Similarly, we find BC + BA > 28E

CATCAZZGF

Adding, (AB*BC +CA) >(AD+B

BE+CF)

Sol

EXERCISE 21

~ Q

CX-CB

2 APX 2 2 Apy (AAS)

• PNB = A PNC (SAS)

Lil) AX=AB-BX

=AB-CY

(RHS)

· AB- (AY='4¢) AB-AX + AC; "AY=

2AX = AB:+AC.

1) In fig.1, D is the mid-point of BC; PDQ Ly a st. line such that APAQ Prova that AP(AB+ACY

2) In 4ABC, /C=2/B, AD♣ HG. IT M is the

mid-point or BC, prove that DMAC,

3). The diagonala ACBD of the aquare ABCD intersect at K. The

bisector of BAD cuts BK at X and cuta BC at Y. Prove that СУ-2КХ,

4) In ABC, AB → Au; bis une perpendicular from C to the line

biaeeting/BAC; D is the mid-point of BQ. Prove that

71) DT//BA; (11) DT (AB - AC) «

(HINT: Produce CT to meet AB at K.).

whole morning, foomang in

snop

llowing may nu answer

me five

TALKSA Around:

windowa.

In

on to

41Ternoon we went down to...

548148 and wor

something whion, though called

railway"

big tram.

evening.1

I have not seen him since last summe)

f. Mr. Chan is not in at the moment.

g. The train will arrive at 6 p.m.)

h. He sent to England' by uir.

1. My friend works in a factory.

4. Insert the right articles into the following sentences where

next place that our ship stopped et väê lying in

Day in Malaya...

4. My job in

centre of

fielda was to throw

high carte pulled by two huge horses each.

BETE Borning, when I went gova ko fill my can. I was horrified to ses that were bigger than my fist.

znalan wante te make

cup of

corn on to

port

river to

dog's tracks

First we took

bus to

something he will make

very small

tremendous heat with next sa na

roast

rally station and then?

that throws out