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真二第張四
日八十月三年底申磨靈
WAI
YAT RO
台九廿月四年陪六
一九六四年度
文中學會考試題預習專欄
=(x+2)(x+4)(xh
Ans
(11)
華僑日報英中會考試題研究委員會主編
數 學
(十七)
Preparatory Test 17.
A man contracts to do some work in a certain time, and employs 15 men, who work 9 hours a
day! When of the time has passed, it found that only of the
o work in done
3 more men be then employed, how many hours) a day mist all work in order that the whole may be finiahed in the required time?」
The railway bewteen A and B ascends at a gradient of 1 in 275 from A to C, distant 1104 miles from A. It then descends at a gradient of 1 in 165 from C to B. If the station at B is 28 feet lower than that. atį
find the distance from A.te. B.
Factorise
(x+1)(x+2)(x+3)(x+4) – 24.
Find the H.C.F.and L.C.M. of
+0x+@x+35__and,
•Lot Amx+ax+b=(x+c)(x+M)=x*+ (c+M)x+ex!
•pz+qu(x+c) (x+N)=x2+(c+N)=+¢N.an_these
given equal to zhc.
R.C.F.
the
C+H wg.
+N
(x+c)(x+x) ¥31
expressions A and B,
•*** (C+B+C+D=C)2+({a-c)c+ (p=c)cs (a=C) (p=e}} z;
x(an-c?) _+_¢(a-c)(p-c)
此次立,明
核心
問項年步期包獲
九焰一
1年只九政代,查該難起一股薪部整
性
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「升中指導」算術科
今日在麗的呼聲播出
時間:
上午十時华 下午六時正
5
(Prove :--
14sinx
isint
61
100ft
1+X 1-co&x
2dosecx(cosecx-coax)
One ship is due east of another and one mile from it the ships bear N,W. and N.. by N., respectively as observed from a coast quard station.. Determine the distances of ships
from the point of observation.
B is the orthocentre of a triangle ABCJ OM is the perpendicular drawn from the circum- centre, 0, to the base BC cutting it at_M. ¡Prove that AH=201.,
Prove that the orthocentre, the centroid, and the circumcentre of a triangle are collinear. --
Also prove that the distance)
between the orthocentre and the centreid is equal to twice the distance between_the_centroid and the circumcentre.f
AC
22 30
30%
lain 112 30.7~ sin
.
100
7
1
30'
100 sin 112 30
@in_1630/
Go 24
CD!
·AC cos 24'
100% in 412
CD
30+ cos 24/
010 1300
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Answer.
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AL·LÍCULA (FOA), AMEDEMANDE, Caras
AB=ACg
Green income from investment.
240
·480
Givens ABC
x 6470-$480.
amount toj
invested/
=_2003
[C14520): [AngTM”.
The smaller pump alone would discharge 80 gallons,
ir minute, and the wakaz sinka 1
in 1 min. two pumps working together would discharge) 180 gallons per minute, and the water sinks/
1801
inches per minute, Le.. 23 incnes /min.]
f (the depth of the_we11-120 x_24_tuchess,
When the larger works alone, the water_vill"sink,
1100 180/
inches per minute,,
14 inches/ min.)
t-ime taken by^the larger pump to work all) (by itself to empty the well/
270
3.(1)(x2+4x+812)
mimites. -3 hours 30 minutes, Ans,
3x(x2+4x+8) +2x2
Gm(x2+4x+8+2x) (x2+4x+8+1)
(2+648)(x2+3x+8}
+6x+8) (x2+5x+8)|
「升中指南中文科教材
今日在藤的呼聲播出
a circle is drawn to touch/ BATMproduced, AC, and BC produceda AD is per toi.
E
To prove the radius of the circle is equal to)
the altitude of the triangle drawn
from à te BC -
Proofs Let 0 be the centre and OE the_radius,
\of_the_circle Join OA.
OA bisects"/HAC*(D{18 the escribad-centre) /BAC/ABC ACB (ext. /s of triangle) LABC: LZACB (AB=AC, given)一
**•, [ABC_=\/HAC\- ZHAO,
AO // DC
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各位同學:
上午十時半
時間:
下午六時正
̇如何跟付考試?
......轉性光下月六日就是考試的日子了,今天我要和大家做的榮耀的問題,
「我堆傭在考試胞來一個預測,遊癤預測是根據歷試題的分析,演變的修式,此推
「在今年的準,希堂道有助於各同學。
第一部:(時間二十分鐘)
(1964年度中學入學試預測)
-2選擇下列左邊形適當的十個詞,配合右邊的卡個罰聯合起來變成一個遞用同
何(注然只須將跟總确填入括弧)例如:
(1)
(2)亡
(3)冰冰
恆河
(B)投民
(10)起聯
(11)曌過
(12)假公
(3)珠送
(114)
2.169 17
(S)(A)洗
()(B)一架
< > <B>BL·
CODE KORE
3)沙數
(
KECH)(
C:附注:鵼使同學們能配帶手成選目形式的見,在每個题自接列出不同形式的韪·再
C ́S DIBA (F›IZ›K› EG)
(4)批桃(海麟,黃花,可危,報
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(->將每句捷的括弧內提酒雲的牛属入空格內*
例:有時太限走入室属,而它的光(量)仍重裹射下來。除,明 )
(1)我們一面賽保持未知的菜,一面與礦礦品速的感溝。(期上霜
(2)中欲之夜,在湖上藝( „2 · KÆRER» (#› MIB)
3可幀,所以有很多朋友。(平,鶉*氣》
試在甲類瀟和乙組相配的剛性鋼來家
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歐雞
反
演具
拍攝
故聞
锁链
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實猫
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(五)將下列條部的字或您願的句子:
(1)自立部人秸鈡要個都有的
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(一)學兄塞假/見面/近况/有帳/英國/漢武/裝會選進/行期/遊行/時期/忙錄/
徐康/年/咖
(二)我說道:「爸,你走吧』他蔬中外看了,說:「我實務国擢于去。你就
東尚學會,日炸俄置、自、張佩君、以加强各地同學和
京錤行客
行吟真培鹅、靚灼棠、林、推中鑾杠、林惠
在此地,不走。」我霍里郑遜月臺的槪構外有萣個賣東西的時會願者,电、由後大修推
鼉辨法,跟鮮過經道,保眺下去叉格上去艾概是一個胖子;自然走潺去類、退少 費享粽。她的我走溺車上,新橿子一般觸克放在我的大上,於是達接次上按關求負廳 的泥士;心寒很輕鬆似的。一看誔:「我走了,到那邊來信。」我辐膺的走 出去走了幾步,過期來看皂我,說:「進去吧,真邊沒人。」等他的警 彤混入來來往往的人事,再找不簿了,我便泡來坐下,我的眼又來了。 (三)(1)垴 (2)糖 ( 3 )/5) € 4 ) /»<, (5) ND
(6)福糕/撇开
(10)湯/蛋
(7)#/# (8)9/# (93%A
(四)(1)他懒體能性,不肯認真演咨
(2)不糙時檢點自己的行我口
(3)有鴨富的學問,還些有機鍵的身體 (4)懷破萬然,下筆如有神
Chene
留東同學們常