1977-01-19 — Page 20

真四第張五第日一初月二十年辰丙磨

郭日僑華

三期星

日九十月一年七七九一服公年六十六國民中 青教聞港

|QUES - SIKKE -閣長 味-永洪名, 寨落成之大王爺及百姓一、鸿客品、倪木枝。 後,成對於試塩新近蘊 微泡、吳茂成、胡松庭 各嘉賀拉涵各項建脞珊事史文溪、周海、觀賞 慕脚空,氣氛凇洽, 祟、鄭秋城、斑千城,一 ,隨拍照,恐會,塲面一館、許美珊,熔核會米 KECZKO - ESD / 48QK9-* SEP*****CT E-KERS CH

一致送紀念品,由郭子樂仲、王丁山·福利

·柯木,蝕味,劉唯一江、陳子蟹、鸿城 ,郭于樂會長致洲强,文藝極 林敬 ▲烈文太平紳士致刺阿近湖平、陳再科、陳惠、 官,頒發選任證書- 志成 + 康樂章成 MIDDELAEZ · | JET ‹ EHR KE 由郭珮寧長致開會製! 醫務謝永棠、陳鎮河 百餘人,當時行燈: 松,林元,倪元, IDK - IREZSK | X-ZKI - HEBE 者,除主義人依時到岜 系鐇務、深泉, 【外,尚有官神名流,肚一体积。財務梁、吳炳 耙品,是日蒞臨參加,戴木點,庭炳僕,短 理事長劉明分別|瑯事長陳兆福;陳兩水 「長郭子坐,會長柯木森一職員姓名列后: 一,由烈文太平紳士雅裝】一旅游勝地也。 [EXFRÉXEXUS GXIKE - KEMR, 屈班事就職典禮,結識之優美,殆可比美於南 行注册有限公司第三,說不絕,而環境 【十四心在山上會址,及東方藝術,異口同 「愛有限公司,於昨冖香 - 僅能表現潮屬傳統 (SE)IXER KERKEN - ÞOO

·理事長郭學文、

MEESKOND

三屆理事就職

德敎保慶愛壇

【本港新聞

建順宜江伸强

袋哭;會務:黄瑞珍,

: 理事長:陳泰幸, 第北八理監事·

聖十字徑村福利會 第廿八屆理監就職

宇經村福利會,昨日 ($)BER ( 北幣下彎年救貘組九道 福穰會第廿七週年,及

行緒廿八屆理監事就職 過年紀念,該會昨午

民

織:陳瑞。福利:高有 濂。核數·温來。组 ,蹤:劉違生、榮號。

政署分主任

監事官

・筆の調 交警:余栢號。交際

孔榮勝獎,實箕灣坊

:張金祥,別:

亞選任紐帶。 嘉利會理事镛添額。庶務:何送务。催收

·邵新。監事長:贵格、

WAH KIU YAT PO

to

-KKERENPXZECHSR( 2 代表淅大當局到機場运行的有綠寶總主任甄傳 |- CEEHEERT - TUARKPX2AR - ,胡明坤等前往東南正作爲期兩周的考察。昨日, KERK INK · ARE KO2 -848- 前提下,昨特委派市檔主任謝錦布, 首批 一世的助益作用。怨公司在發揮產銷體系最大数用 就粟,以及本港飲品工業的促進,亦將起落一定, 的供不隠求的現象,獲得消除,而且此對提供 KHEEN KOEYTRO‡XSEN

門謝錦等赴海外考察 新型機器將投入生產

預計短期內即可投入生產行列。該公司強調遠is 汽水製造機,其安置工程業已接近完成階段·

·淘化大同綠究廠調自德國最新型的全谢

綠寶市場各重要成員

EXENEZERR (8)

表現,呜勉各人區堵爲,財委會主席黃跳88 - 盛映該會過去之卓桉一祖總監:陳福幸。某一

張錦添理事長致詞,副;陳福源。廚平救

Ga

lelogram

2. Since 13+23

13+23+203 (20)2 (20+1)2

iven: ABCD

is

a baral-

1977中學會考試題預習專欄

明德社主編

DE = 2FC

To find: AF: FC.

Solution:

LECA

4 CAB

數學(十一)女長波、

ZCEP

LABF

ZEFC

ZAFB

Mathematics 11

Solution to exercise 4

AFB

are similar

CFE

Section A (Each question

AB

噐

1

3 +23

AF

i.e.

or AF

• FC

1

www

3025.

carries 5 marks)

2.

Solution:

4 4

-b2-(a−b)(a+b)3.

(a−b)(a+b){a2+b2)- (a-b) (a+b)3 (a-b)(a+b)[(a2+b2)- (a+b)?]

(a-b)(a+b)(-gab)

= 2ab(b-a)(a+b).

Solution * ̈

In the equation

15x2

+mx-8= O

the product of the roots

.8.

and the sum of the roots

m

-15.

-8

=

B - (-) * 룩

15

+ m

15x2

=

6

m = 14.

+ 14x- 8

(5x-2)(3x+4)

X= .or -

Section B (Each question carries 10 marks.)

9. Solution: Let him be the

height of the hill

ON hcosec28°

OM

hcosec1 2o

OA = hcosec5o.

OB = hcosec 12°

cos(B+*)*

-

ON OA

hcosec280 = 0.1857. hcosec5

(0+α)

0

cosx

=

Solution: the percentage of water in the glass

5 X 22% + 7 X 27%

12

25%

4. Solution: Times for the train takes to pass the bridge completely

100+ 32

45

=2hr 56min."

Solution: Let rom be the

radius of the circle

Since BA and BC are the

tangents of the circle.

LAOC - 60°

ZAOB

BOC = 30°

AB BC= rtan30° length of AC

2rtan30°

T

r = 10

0.107610

93

r = the radius of the circle is 93cm.

I

= 79918*

ON hcosec28°

www

hcosec12°

0.4429.

x=63943'

** = 9o - 63°43'

the angle between their tracks is 79°18'-63°43* = 15°35'

or

79°18*+63°43' 143°1

M

10. Solution: Ler y ?sinx + 3cosx?

XC

AC

20

N

B

4C 500 70 80 170

4

=44100

.103

(10)2 (10+ 1)2

-(n+1)2

... 113 +123+...203-41075

(2-2)7-3×

x2 - 2x 27 - 2 x

-

4x 242

- x - 4220

(x-7)(x+6)=)

S.S.

3x

{x:xe-6 or

x.>7}

4. Let the distance between

the towns A, B be ṣ.

The total time taken for the whole journey

+ )

= (88 20

30

. The average veloci ty total distance travelled total time taken

2s

=

$

20

40 (m.D.h.)

5. (1+tane)2+(1-tane) 2

= 1+2tano+tan2+1-2 tane

+tan e

= 2(1+tan28)

"

Cos

2 [1 + sin 29]

[cos2e + sin2e]

2

COS

9.0 3.0 3.50 346 3.59 3.473.1329249206. Since ( L, L2)CL

a) The maximum value of 2sinx+3cosx occurs when x = 34

b) if asinx°+3cosx = 3.5

i.e. y 3.5

X = 20 or 49

c) 1f 10sinx+15cosx-x i.e. 2sinx*+3cosx2 =

y =

2

Section B: 9.

P

PQ=h.

A

i) As figure showr..

h=

+

2

but my

1

h

=

PBsinẞ

dsine

2

FBsinß dsine

or Bsinẞh-dsine...(1) Also BY=QY*QA+AY

PBCOS$ JA+AY COS

QA

h tand

AY = d cos e .". PBcosp

h

+

tana

dcose

(1

3

dsine

tan

+

h

enfor

dcose

Tand

... tanß

=w

htand-atan sine

ḥ + dcosētand

htanẞ dcosetanitanß.

- htand-dtanisine

h(tand-tanẞ).

= dtandsine+dcosetantanẞ.

-

dtand(sine+co se tanp

tand - tarp

ii) If station A and B are on

on the same horizontal

rlane then 0 = 9o

the

Choose the best answer.

the LETTER in the brackets. Example: Hurry up

write

wait

(c)

(A.

. I'17

B. ? I'11

for you.

see

1.()

C. I'11 D. I'11 E. 111) 1. If we go there

them.

(A. we'll E. we'll. C. We'll D. we'll

E.? Well)

We look forward to

2. Ch

it

2.0)

(A. . ? B.. C.

D. ?

L. ?)

leave

3. eat something before we

(A. Lets. E. Let's ?

C. Let's D. Let's ! E. Let's }

*

3.0)

4. Anna's brother is a pilot.

he?

(A. isn't B.

9

C.

4.( )

. Isn't

• isn't D. Isn't E.? Isn't)

5. "What a fine day

Henry.

5.0)

(A. ?" said B. " said

·

C. !" said D. !: said

E. !" Said)

6. Sam

un to the door

c. B. 1

(A.

ウ

•

•

D. !

·

E. .)

+

6.()

have an

7.( )

7. After dinner

ice-cream.

(A. we'll

B. we'll

C. welll D. ! We'll E., well).

8. Toby

is very obedient.

(A. our dog, B. our dog

C.

2

our dog. E. our dog,

محمر

"How clever you are cried Ann

(A. ?" . B. !"

D.

our dog,

8.(/)

9.()

C

buy you

10.()

D.," E. !" ?)

10. Don't worry

he'll B. ; he'll

dtand(sinɔo+cos0° tar § 11. If it rained

COP lementary complemer .ary.

•

C.

• She'd D I she'd b. ! d'e'd)

what should we

said 13.0)

a new

one.

(A.

•

C.

• he'll D.

. He'11

E. ? He'll)

h

not fo.

dtand tanẞ

tan tanp

(A. she'd E.

she'd

3

tand tang

11. ()

iii) If

and B are

12. Oh dear

do

12.( )

then & + B.

9.0° d = 90°

(A. T!

B.

?

C. =!

.*. 1 Dasses through the

intersection of L and L2.

B tand tan (90°-ß)

D.

"

•

E. !?)

13.

tarß

h =

or tang=

dtana(

tand

tan&

tana

tan d

Ø

to L3'

atand

tan- 1

(Ans.)

ho.

Slope of L

L3 (5k + 2) (3-k

2

i) x2+y2-12x-6y+20

0

15.( )

C

=

2

Can't you

8

k =

Let L be

2x+3y=8+k(5x-y-3)

i.e. (5k+2)x+(3−k) y− ( 3k+8)

Since LA3

=

.. L is parallel

С

C.

E. he's

*

D Lets

he's

6. Solution: sec2A= √3tanA+]

1 + tan2A =√3tanA + 1

tana (tanA-√3). = 0

tana = 0 or √3.

A=0°,180°,360°,60° OT.

240°.

7. Given: AB 4cm, BE = 6cm,

CE 3cm

To find: the length of CD.

Solution: AE=EB DE. EC

10(6) (CD+3)(3)

CD

= 17

the length of CD is

1:7 cm.

A

B

i.e.

** 10

15

2

3

x =

18

新數學(十一)·魯榮家、

Modern Mathematics(11)

Answers to Exercise 5.

Section A:

1. Since =

=1+ 31

2

• ' . x3 = (−1 + 31 ) 3

...

the equation of L is:

y

[5 (− )+2]×+ [3~( - §) › -[3(-)+8] = 0

34x 17y = 0

2x - y

(Ans.)

7. the radius of the circle

-J(4k)2+(10)2-125

= √16x2

འར

—

25

since it is a point circle

...√16k2 25 = Q

x2+y2+2(−6)x+2(−3)y+20

the centre is (6, 3) ii) Since the centre is (6.3)

.'. the equation of the required radius is:

7-3 Y-3 x-6 9-6

=

4X

-

3y

J

15 = 0 (Ans.) iii) the slope of the radius

4

ro for a swim Tom.

(A. Let's

C. "Let's

b. "Let's ! )

B. "Let's

14. we all like him

smart and gentle. 4.( )

(A. ? He's B.

. He's D ; he's

15. The vase is broken

what a pity (A. !? B. !! C. ?!

D. ? •

E.

16. Watch out

see the train coming

(A.

•

D. !

? B. ? . C. 1 ?

E.)

17. I have a rubber

and a sharpener.

(A. ; a pen,

C.

, a pen;

E. a pen, )

16.( )

a ruler

B.

D

•

17.()

a pen

a pen,

Where are

through (9.7) is

18. Helen said

the slope of the required tangent is

3 4

*

you going (A.," !

? D.

W

4

16.(

B.

$ ?" C.

1

E !)

the equation of the tangent is:

y - 7 =

X-9

3x + 4y.- 55 = 0

D.? How's

?

19. I haven't seen him

he ?

19.()

(A. how's B. . How's

+

C.; how's

E. how's)

the tree.

a anake under

20.( )

(A.? There's

B Theres

. There's D. There's

there's)

20. Look

륵동 16

(Ans.)

2 (Ans.)

8. Ač

豬

1977中學入學試試題預習專欄

智慧社主編

C.

E.

Ž

ANSWERS

=

1.D

=

+ 9+ + 3/31 - 3/31

英文科

(十一)

6.E

2.B 3.0 4.A 5.0 7.0 8.D.

9.B 10.D

ENGLISH (11)

11.8 12.6 13.0 16.017.D

14.0 15.E

18.0

19.B 20.D

−1-91 2+3 √31 +3 √31

3

+3√3 2 13

m(AC).m(AB) cr sĹBAÇ m(AC).m(AC)

(10) (10)

100

(Ans.)

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