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.)
Page 20Page 21