1972-04-11 — Page 22

頁二第張六第日八十月二年子壬歷夏

報日僑華

WAH KIU YAT PO

二期星 日一十月四年二七九一曆公年一十六國民華中 ̇育教僑華

1912英文中學會考試題預習專欄

(1) Opposite sides are equal.

1972英文中學會考試題預習專欄

逍英文装院主編

(2) Opposite angles are equal,

(3) Diagronals bisect each other.

堅道英文實院主端

香僑榮

T

數學科

(十四)

(4) A pair of opposite sides are equal

and parallel.

英文科

(十四)

up

Mathematics

Lesson 24)

Fundamental concepts

(A) Exterior and interior angles of

polygon

(1) The sum of interior angles of

triangle is 180o

(2) Exterior angle of a triangle equals

the sum of interior oppoiste anglesi (3) Sum of interior angles of a ʼn - side palygon 18 (2n → 4) right angles. (4) Sum of exterior angle of a n- side

polygon ta 4 right angles

(3) Parallel lines

Where are two fundamental axioma”

(1) Two coplanar st. lines are either

intersecting or parallel.

(2) Two intersecting coplanar st. linės

cannot be both parallel to a third

st. line.

We have the following properties of parallel lines.

If either (a) alt. La equal, or (b) porr. ¿s equal or (c) int.

supp., then the two st. lines are parallel.

If a st. line cute two or BOTE Pär-- ́allel lines then (a) altzsare equal (b) corr. ¿s are equal (0) int. ge

{) Two or more st. lines which are par** allel to the same st. lines are parm allel to one-another.

lines which are perpendicular

to the same coplanar st, lines aTS

parallel to one another.

Example (2)

ABEF, ACOR are squares outside

ABC, AM is a median and produced to meet Fi

2. Prove that

(1) M3 | FX (11) AM = +FH. Solutions Produce AM to P

Such that MPAM Thus ACPB is a paralllelogram

(diagronals bisect each other)

AC

BAC

ert.Za

(int. But ≤FAH + [BAC = 2rt. £o-

Inglish Language (24)

Complete the following" sentence81-

1. It was said that Mr. Smith, our new

secretary.. would take the chair at the annual meeting.

It means that .....................

A. Mr. Saith would buy a new nev

furniture" for us.

Mr. Smith would be absent in the meeting.

C. Mr. Smith would be responsible for

the messinge

Mr. Smith would be the only guest in the meeting.

E. Mr. Smith would preside at the

meetings

Mary looks like her mother, She takes

her mother in very way,

up

B. in

C. away

D. after.

E. before

He told you that he would start a nov business, in fact, he was trying

take you in..

It means that avvis

A. he wanted you to Join him,

B. he wanted to work in his new.

company'

C. he tried to deceive you.

D. he tried to make you help-him.

E, he tried to make you believe him.

AC//BP)

4. He alwaya imitated and took

old Chinese teacher,

the

up

B. down

B. in C. far

D. near

"Goralong with you. it immediately," lined means *****

You should stop

The phrase under-

A. You should go on with your work. B. You should not go on with your». wwwork.

C. Don't be foolish. 2.

D. Don't hesitate to stop,

E. Don't hesitate to go on.

"Go along with you You can never take me in with such silly stories." The phrase underlined means that

A. Don't expect me to believe it

B. Go on with your stories.

C. Stop your nonsense. **

D. I have heard these stories DuroTG,

E. Tell your stories once more.

He was an honest man. back...... his worda.z

A. in

B. on

C. against

D. for

B, to

She has applied

He never

3.A.5.

triangles

(1) Baas 6, izos ▲ (are equal)

2) Sides opp. equal £* (are equal,

Example (1)

In the figure as shom, the bisector of /BAC meets at P the line which bissots BC at right angles, PX, PY are the per- pendiculara from ♬ to AB and AG. Find

in the figure 3 pairs of congruent trian- gles and prove the congruence. Also prove that AX - ‡ (AB + AC)

folatioar: With notations.

the figure

b (Given)

ZAXP-ZAYP-90° (Given)

common

API APT(AIS)

PX - FT

**_CH (Given).

- ¿CHR - 90° (Given)

is- common

PEN=▲ PCN (SAS.)

PC

/PXB = /PIC

(proved)

(Given)

▲ PBX = A PCY (RHS)

BX

CY

BX CY

AB - AX4

ZAX

AB+ AC

(AB+ AC).

(E) Propertices of

logram

(1) Opposite sides of a parallelogram:

are equal.

(2) Opposite angles or a parallelogram

are equal

(3) Diagronale bisect each other. (4) Diagronale bisect the area of a

parallelogram..

The following are the sufficient conditions for a quadrilateral to be a parallelogram,

КАЗР LEAH And AB - AF

(Sides of a Square) (Proved)

A4BP = AFAH (SAS)

110:

Jut

BP AH

AP

AQ I FH Mid-point theorem

The at-line joining the mid points

of two sides of a triangle is

(1) parallel to the third side (ii) equal to half the third side, Intercept theorem

The st-line drawn through the mad point of one side of a triangle and is parallel to another side bisects the third side.

Bxample. (3).

D is the mid point of the sides. BC of triangle ABC, CA is produced to 3. If BR is the perpendicular from B to the bisector of ¿BAE, prove that

DR - † (AB ↑ AG)

Produce BR to cut CA Produced at F.

In ▲ ARB, ÁRF

*1 * *2 (Given)

AR - AR Common

ZARBARE -

AARB = AARF (ASA)

RB RF

BD - DC (Given)

- ACF (mid pt, theorem)

CE = CA + AF

CA+AB

DA

(CA + AB)

AB)

C. away

Di off

E out

He had taken whisky before dinner "and"

a' pipe after that. A. taken in drinking:

smoking smoke

taken to drink C. taken to drinking ****** BA0 D. taken to drink ............. smoking E, takan to drinking ............... unoka The teacher came in and continued her story at the point where she stopped. The part underlined may be replaced by the phrase took. P.

R. on

3. off

like girls with a zaking character. "Taking" means

out spoken

Gready pleasing

S. tinid 7. shy

Don't tell my secret anyone Don't give it

P. out

Qup

R. over

S.

.T.

poor old man, after having tried very hard to convince his son, gave up the attempt finally. In this sentence, the phrase underlined may be replaced by

P. gave away

gave to

R. gave over

gave off

gave on

to go far

means to become

P. go to foreign countries.

become a wanderer.

R. become a priest.

3. become famous.

T, become president

11. He was such a lazy and naughty boy that no one expected to see him 29.

Exercise 24

(1) The diagonale AC, BD of the square.

ABCD intersect at K. The bisector of BAC cute BK at X and cuts BC

at Y. Frove that CY/2KX..

In the figure ABCD is a square. LAPB-90, CXQ//AP, DQ/BPX Prove that (1) PX — AP –

(11) ZAPQ = 450

A. in ta

B. into

0 in for

D. to in

E. in by

16. He is going ***** **

18 no longer young.

in to

Q. into

R. in for

S. on for

on to

The workers struggled to gain more. by going outi

It means that the workers tried to get more ******

F. going out to work in the country

working both day and night. doing some extra work."> holding strikers. demonstration.

must prepare enough cakes so that

didn't have enough to go.

Jeg on have a share. Last tim

P. throu

3. on

Rround

S. over with

The two sailors go drunk and went

each other with their fista.

Cover Bround

20. What you have

of fashion..

Pin

2. into

Rout

against.

7. over

100 out.

be

fashion meana

shionable

specially fashionable" being distinguished from others

D. being no longer fashionable

E. becoming fashionable:

We suggested him to choose another shirt that went with his coat.

We suggested him to choose a shirti that

A was as expensive as his coat

B. was with the same colour of his

shirt..

was with the same size of his coat

was of the same quality of his, coat.

matched with his coaty