1980-02-14 — Page 12

其四張三第 日八廿月二十年未己

1980

中學會考試題預習專欄

新數學(十九)

明德出版社魯榮家提供資料

Modern Mathematics (19)

W. K. Lo

Mill & Dale Press Ltd.

Test Sevén

ADGver Afr questions in

Section A and ANY SIX

in Section B.

Section A (40%)

i. If rsinë - 2 and rcoso - 3. v-find--the value of r and the

value of e.

(where 0° 0 ≤ 90°)

2. Pind the value of x if

WAH KIU YAT PO

報日僑

6. In figure 3, AADE is an

equilateral triangle and ABCD is a square, find the measure of BEC.

Figure 3

|---7-IL-2+3·4-is-one-of-the Chin

roots of the quadratic equation ax+b = 0, find the real numbers & and b where i -/-1.

B. In figure 4, 3 concentric

Circles of radii are of radii 4, 6 and 10 respectively. A point is ́marked at random inside

the outer circle.

【四期星

1 = {(x,y): y=x2-2x+2} dom f = {x: −2 < x <3} (a) If (a,1) = f, find a; (b) Iz (0,bjef, find b; (c) Find the minimum value

of f;

(d) By drawing suitable linear graph, solve the equation

x2-x-2 = 0.

11. If sine and cose are the

roots of the equation

- 3x2-4x+k = 0

"(a) find the value of ki

(b) find the quadratic

equation with roots tane and one

tane

12. In figure 6, AABC is an isosceles triangle wi th

AB AC. If His a point on AC such that HK IC. HK / AB and AС- kнC.

日四十月二年〇八九一饜公年九十六團民輩中化交再裁

x2+y2 = 277

(i) What is the centre of the circle;

(ii) Find the radius of

the circle; (iii) Find the length of

the chord;

(iv) Find the equation

of the chord.

16. How many terms of the

geometric series

16 + 4 + 1 .....

must be taken so that the sum is greater -then-21-33--

英文科(十九)

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seriously injured, and most of these, after (8)_________ few weeks in (9)............. ................hospital, will be little (10).

worse for their alarming experience.

D. David decided to go to (1) _______________book store to buy (2)_____________book for his friend. When he had bought (3)______book he took it to John's house in (4) ·__Lockhart Road, near (5) New York Theatre, John was pleased with (6)—--------- as it was about (7) photography which is his hobby. Just as David was leaving, (8)

urgent telegram arrived for John to say that his cousin had been injured in (9)

ས་

car

crash while going to school in Canada. He was being flown to (10) __ United States-for- treatment.

The answers to last week's exercise are as i follows:-

PART I

(0) (

3. Find the values

of A, B and C if

5x-1 - A(x2+x+2).

(Bx+C)(x−1)

i in an identity.

4 In figure 1, TA and TH are

tangents at A and B respectively. 0 is the cent centre of the circle, if the radius of the circle 18 20cm and AOB - 60°, find the area of the shaded region,

(Take **)

Figure 1

shown in figure 2,

SET is a Pind the

Figure

Find the probability that the point is in the shaded region,

Section B (60%).

9. In figure 5, VABCD is a

right pyramid with rectangular base, If the height VG is 10cm, AB 8 cm and BC 6cm, find the angle between t

(i) line VA and plane ‘ABGN (ii) planes VAB and ABCD (iii) planes VAD and ABCD-

Figure 6

(1) express KC and BC

“in terms of HC and HK; (ii) hence, or otherwise;

prove that KCBC.

13. A man borrowed $5000 to be

paid back in three equal - kannual instalmeuta, the Tiest instalment being

• paid at the end of one year and compound interest being calculated at 3% P. How much did he repay each year?

ENGLISH [19]

T.C. Rebelro (Foundation Press)

Practice in the use of Articles for HKCEE English Paper III.

Fill in the blanks with "a" "an" or "the". Put

"X" where no word is necessary:-*

| A. (1)

joyful party was in (2). progress at the station. Daily labours and usual drills were forgotten in. (3) Lively pleasures, of dancing a

ng and singing. (4)..... crew of the engine not on (5)......___________ duty joined in (6)fun with their families. At (7) height of all this (8)

mournful clanging echoed through (9) whole building. Without (10) annatrace of alarm the men swung swiftly into their routine as firemen. They understood the value of every second.

B. There was (1) ancient tree at (2) A bottom of the garden, which provided (3) ————————- splendid summer retreat for usar, children. It was not only easy to climb but (4) branches lent then

the natural habitat of animals (i) protect the soil and smaller plants

give food and shelter

(iii)

(iv) make the earth more beautiful

provide materials for paper

(vii) provmaterials for buildings

materials for ships

(viii) provide materials for furniture (ix) provide materials for fuel

(b) Precis:

One effective way is to plant new trees which should be big enough to avoid vandalism: Another is the maintenance of mature trees which includes the control of animals, parasitical plants and insects, and the prevention of forest fires. Finding the causes and cures of tree diseases is also important.

PARTNI (a)(0) shelter

(ii) felled

(50 words)

(ii) proper maintenance (iv) hazards

(intentionally destroyed; who do not (b) a few minutes, twenty years; the cycle

the value of trees.

14(a) A hunter shoots 5 arrows, selves to (5)______erection of a platform(d) to a tiger, each has plexintly shaded from (6) and heltered from (7)_________"showers, "by, B canopy of (8) dense leaves. This

the tiger

They destroy the bark and eat away the tree from inside.

(e) The writer mentions the word 'culprits' to

describe farm animals which are responsi ble for doing wrong in woodland

tbo probabilite platforms served it. (9) lookout over (10) grounding country data: The the Claret ba (0), she hespa, caused industrial sites.

Landslides have come crashing down and ( TRAM POENE

preve

Ka

-

More

casily, be musened byn the wor

Would take immediate setion to protect troes because I leam of th

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