1988-11-29 — Page 18

七國華中

日一廿月十年戊暦夏

報日僑

二期星日九廿月一十{八八九一)年七十七國民華中(18)

with pad work,

Starting from this issue onwards, we are going to devote four weeks' practice on "Phrasal Verbs". This type of question has appeared n the 198S Examination and their usage is closely related with that of prepositions. A good knowledge of their

usage will certainly: increase your comprehension power. Each week we will have exercises on four different sets of chrasal verbs and as you are doing the exercises, also learn their various shades of meaning. Use the dictionary to help you

if necessary.

起

in each of

replace the sentences,

underlined with an iter from the list

3. The police was trying to disperse

the trouble-makers.

for ten minutes and will resume at

11...

1989 中學會考瑣習互機

write your

answers in the

spaces

provided. The first one has been done

for you as an example.

'Exercise {A}`

Exercise (B}

outstanding bucks.

2. 191 contact you

break down

greak aut

LHAJI UMK I

break into

MIEL & DALE PRESS

English (9)

Ju

1. The fire

break up break through break off started broke.out. at

bring back bring up bring round bring in.

1. The

is Government

bring cut bring about

need your help.

3. Owing to the rain, the picnic was

(A) 2. broke through

introducing

cancelled

sume reforms in the tax

4.

system,

The emergency demands immediate attention.

Dear Students',.

4 a.m. this morning.

2. The

grave

forced a way through eneng Tines.

soldiers

2. Reading diaries often calls to mind ....sweet memories.

the

3. The couple has educated:

5. I shall visit

to. Singapore.

Exercise(D)

wiend.go

Answers

3. break 卯。

4. broke down

5. break off

6. broken into {B}' 1. bringing in

2. brings tack

3.

brought up

their children well.

carry on carry through

4.

4.

She burst into tears

He is rather stubborn. It is rot easy to convert him our Views.

carry out carry day.

cariyover. Carry off

4. bring him round

5. bring out

to

1. After months of

practice, he

(C) 1. calling in

when: she heard of her mother's

Ceath.

5. Teachers should develop

manages to gain prizes.

all the

2. call you up

the best in each student.

5.

The meeting wi?"

2. Kuzj your head and don't let

yourself ve enchanted

3. called off

4. calls for

公務人員醞釀工業行動

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(左,向中門服務班員會道教食品。 香港道教聯合會

下元法會開榜禮

三一第

The:'lihrary 'is.requesting, the

return

4. Her bravery and courage helped her

(in) times of hardship.

5. Don't let yourself be disturbed.

3. carried out

4. carried her through

5. call on

Exercise (C) call oft

3.

He executed

the plan

(D)᛬1. carry off

call for

without much diffidity.

2. carried away

below. You should take care to use the correct tense and form and to keep the meaning of the sentences the same. An item can be used 0457 only. You should-

call out

6.

A thief

stealth

out.

must

have ̇entored by:

when we were

f

Revision Exercise 9

Section A

5. carry on

sina:sin sinc a:bre

3.5:2.5:1.5

Arna n + ahsinc

= 7:5:3 (Proved)

1.

In, the figure,

·AHLBC, ZHAB=BCAX.

1989 中學會考預習專欄"

=90+/C

4.

Sing

a = ksin2H

K

明出版社

MILE & DALE PRESS

Additional Mathematics (9)

W. S. So

Revision Exercise 9 Trigonometry III Worked Example

1. In the figure,

#ZAPC=9,

BP:PC = m:n.

Show that

Solution:

Craws a line ADsh, such that ADLBC, 80=ncotß, PD-hcote, DC=hootC.

BT3PD

PC PO+PC

mh(cotB-cote

cota-cote

= [email protected]+cotc m(cote+colC) = nicot8-cote);

*(min)cote = ncate-mcotc (Prcved),

2. In AABC, 28-60°, b-4, the area of

AABC-3. Find a quadratic equation whose honts are side a and side.c.

Solution::

i = facsing

Show that-

since

2. If the area and perimeter of a triangle are 10, 20 respectively. One of the interior angle is 60°. Find the length of sides of this triangle.

3. In AABC, if bec:c+ara+ba:5:6. Show

that sina:sinB:sinC-7:5:3.

.....

4. In ABC, if ZA-20, 28-30, 2c=38, 4b2 show that

= sec28. (a+c)2

15. InAABC, if a2+b2-ab=c*=213$ more

Ss the area of this triangles. Determine the nature of this triangle.

G. InA ABC tanB-1, tand-2, 6-100.

find the area of ABC.

7. In ABC 17 SingsihC=cos, show

that AB is an isosceles triangle.

Section B

E

Solution to Revision Exercise 9

1. Let H=x

x = csin....(1) In△ABC/B=45&tod

SinB sin(904C)= cast - cose

C

zinC

sing-

bsinc

L.I.S. =

bsind

..(2)

Clt = A+ = bcos".......{3} Sub. (1), (2) In (3)

b2sin

&C+C2sin£ = b2sine

... since

B = ksin3日 (=ksic49

(+6)

42sin230 iksin20+ksin45)*

45in 38 (Esin3@cosa)?

#sec@

R.H.S.

(Proved)

(Proved)

.5. a+b-ab-c2

a+b-c2

COSC -

2. Area = 10-ste

40...(1)

Perimeter: a+b+c = 20

a+b= 20-c.

c2 = a?+h?+2abcos60°

c2 = a2+b2-ab

c2= (a+b)-3ab......(3)

Sub. (1), (2) in (3)

c2 (20-c)-3(40)

ር

= 400-400+c2-120

40c.. 280

C = 7

(C = 60°

S = 5 ansiad

Za2-Gab+2b2=0

a2=b+c

a

LanA+1+2=2tanA

C.

{(605)(100) (-2)

- 5000 sq. units (Ans.)

7. cos2 = 11CUSA

1-00584

sinasiac = cost

2sinBsine = 1-cus(B+C) 21ms inc+cos(B+C) = i

2sin3sinCacosBoost-singsint = 1

cos (B-C) = 1

B-C = 0

BAC

.. AABC is an isosceles triangle.

(Proved)

a. i) 8P=/3r, PH=/3(1-7), since BH=3, BP?PG2-35? ii)

cus (180°-0) =

cose--cos:180°-9)

3TG-2

3r+Pad-2

243FFG

PH2+PG2-1102

2PH⚫PG

3 [ 1 -r } 2+PG2 ~1

2,3(1-)

1-3[1-2r+r?)-PG?

2.3(r=rjFG 3r*+PG*~2 _ -2+6r-3r2-Pe^_

T-r

(1)(3r+PG-2) = r(-2+6r-32-PG"} 3r+PG-2-3r-rPG2+2¢ = −2r+6r2-3r3

-rpgz

cose =

2.3 rPG

LA=90"

[Ans.)

***-2accos60°

16 @+c2-4

a22 20

a2+2ac+c2 = 20+8

(a+c)2 - 28

-8+0 = 2/7

The required equation is:

x2-247x+4=0

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In the figure ABCDEFGH is a cube with side 1 cm. P is a point on the line segment BH such that BP=rBH, (c<r<1) ZSPG=0.

4) Express BP, PH in terms of r.

jil Show that pg?=3pzw4r+2

1) Express cose in terms of r.

iv) Evaluate the value of r, when

BHANG...

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a+b= 13

ab = 40

a, b are the roots of equation

x2-13x+40=0 (X-8)(x-5)=0

x=5, 8

the sides are 5, 7, 8. (Ans.)

3. Let b+c=4k .......(1)

c+a-5k .......(2)

ath-fik.....(3)

(2)-(1)

(a-2b)(2a-b) = 0

àor_b = 2a

If a=2b, a2+binaand

lf b=2a, b2=a2+c*.*, B÷90°

.. AABC is a right-angled triangle.

and C-50°

b. Since A+B+C=180°

tanA+tan8+tant-tanAtan&tanC

tanA=3

Sink =

sinB =

410

42

at k

没

from (3) +) a + b = 5k

a = 3.5k.

b = 2.5k

C = 1.5k

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三—七八九九〇八三

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