五國民
日二十月二年辰中醫經
WAH KIU YAT PO
報 日
使中會考試題預習專欄 數學(十二)
感
能變
雙
Preparatory Test 12,
On a circular railway connecting three towns:
A,B,C, two trains are constantly running in opposite directions. Every four hours they leave A simultaneously, and, travelling uniformly at the same rate, cover the distances from A to B and from D to C in 65 min, and 75 min, respectively, If the trains pass at a point which divides the distance from B to C in the ratio of 7 to 5, and stop the same time at each station, find what thi time must be, and also the time taken to go from A to C.
A railway proprietor receives one year a dividend of 3 per cent. on his stock, and pays an income- tax of 4d. in the £.. The next year he receives & dividend of 34 per cent., pays an income-tax of
3d。 in the £, and finds that his net income i那
How much railway stock does he,
£498 more.
sold?
Solve:--
Solve:--
出
9 0
要
2
2
-
2xy + y
+ Gx Gy
2
2
-
20
If tan A + tan B «
'ind the value of]
12 >
Sin A + Cos B.
没
If Sin X =
→
x+2
+
C
信
From (i) (c-b}
ey x(cwb)
From (ii)
三期星
.(1)
......(ii)
复
腎牧盤黼
日五廿月三年四六九一公布三十五國民華中
五香院等之图片,此外,尚有莎士比燕之 國 沖比可故鄉,之累家莎士比胜 華月一期夜,但大會常調鹽澡出。 英國文化,並定於四 巿會內帶保以納書方式出之,內
「崴念起見,香港大會堂特別舉行一項有 茨比寛ㄧ切之馬習會。財個會保
龸
莎士比亚四百年誕 歡迎各校高年級生參 大會堂舉行展覽會
大會方面,希望各校高年級學生能
【莎翁四百周年念
華僑教育
a(c-b) + y(c-a) – b(c-a)
={c-m) (c-b) y(c-a)-c2- ab
s(a−b) + a{a−b) + cy -.ac =c(1-b)'
äry. x{&−b} + cy
(iii) multiplied by c minus (iv) mult, by (c-a)
cr(c-b) - cy(c-a)
ex(c-b)(a-a)
* c(c-b)
-
2
+
-
c. abel
cy(c-a) = ac(c-a)
(c-&)(x-b) 0(02
2
If c2 a0 + a2
鹅
ab)
-
-
ab 0
升中指南,中文科教材
各位同學:
C
a2)
2
$0
-ab)
then I -
Put the value of x in (iv),,we nave;
c(a−b) + ̈cy = adl
uc_cb +cy = BO.
+
b. Ans
* + **
今日在麗的呼聲播出
上午十時樂 時間:
下午六時正 歡
眷術用奴白不跟身 可憐無定河段邊營
今天我经要介绍一些歌我望同學們留意
商行分
五千詔錦度胡 錢人 (解糨) 台藏西行——百代發出中的一題目,西現在會 省靜山以西地方會一起,表示決心·匈奴指古 代北方常樱絡我褟的民痰、自解的一點皮帽、缂鋶袍的 機上,別一一古代菜声人對北方民族的統選,會無體的業 想出新古,獲陜西流入資詢。
君開時期未有期
何益共剪西鐵
夜單舒 巴山蓉夜的潮 却縣四巴山夜關時
控油雞
(解除) 日夜雨寄北——一晚上下雨時寫時帑給北冷的朋友·
巴山一這是泛指四川的。合當——號一天。彩邮話
• FU
朝牧牛
Kame
救下江曲S
郎,在四览總下祀是
柊員
主場
and X lies in the second quadrant,
Sin X
find the value of 1 -cot X +
COS X
tan X
ABC is a right-angled triangle. A in a right angle and D is the mid-point of the hypotenuse. If the bisector of BAC meets the perpendicular
to the hypotenuse at its mid-point at E., that DA DE..
ARC is a triangle, in which B
$
2/CAD IN
the perpendicular from A to BC_cutting BC at Di
and E is the mid-point of BC. Prove that. DE 路
'6%
夜牧牛 荷灠村林春
牧牛村口符合
斑常感炒寬錄
I
Sin I
0°
10°
200
30°
不怕猛滋㞊读情已
(解糊) 日坎章詞——次遠歌。台江曲
0
COS X
0.174 0.342
1. 0.985 0.940
山谷。妙荷鍵
0,500
0.866
簡單樂器、嫣
江的燜曲嵓•四賽 據府藝衣。俄臘智用意跳成的,
野生植物,整的您海南雞奶茶
嵩亂神在限區當作是箭#母毽一小貨件。
Prove
式
900
50*
60
Sin x
0.643 0.766 0.866
0.766 0,643 0.500
Ata, the paint, in which the curves interests) 45°;
" 45
X. 45
نظر
Therefore,
is a solution of,
the equation-Sinx = cosx, lying between 0 and
60
深來深渊镪
不是變數人
• OFPN-BUQ • JULIAS-WWE (NK)
扫船瓜珠G
VS
根據道甘軟腳,我們可以寫出魚條問題,卻代就可以
?
(1)牧棄早上放牛刹竹地方?
(2) 牧蹴晚上午到开展方?
(3)你身上挲濟的長什麼?
(4) 魽然什麼把靈忒拜滿了腰間?
(5)「键」字作什麽解体?
立上往來人 君嚇一燕忌夾
上海音 伍愛鳍魚台A 鼠波里和
(解耀) 安源考——打魚的人。⇐製
蒸种进
一般身體開銷,類 大灣大燐润,味道蟒美的絲合一路一珍容小船在大江录 一片菜子存在水上隨風飄波。炒出形容小船在海中 一會兒難上來,也就是不
我入游
踺驢
** ADD VRT Hoil &L. Bol kal
Solution.
Preparatory Test 11.
As the parts done by each man, each woman and each boy are in the ratio :- 3:2:1
1.0
0.9
the work done by 15 meu, 12 woean and 9 boys
athe work done by (45+24+9) hoya.
.0.8
0.7
"
19
78 boys.
0.6
the work done by 9 men, 15 women and 1B hoye
=the work done by (27+30+18) boys.
室 75 boya.
As the first group can complete a piece of
work in 50 days
the second group can do 4 times as much in
0.5
口白瓜洲一水間
山只閱 馨鼠奖新四江岸 明月何時網受遐
(解聯)泔術措、愛現在江点省長江北岸,類 州市削滚你京口———在長江南岸,現在江蘇省紅江作‧味 鐲山一一現在南京市的絜會山。热拍。
耕菜干
製作、憐憫、要案人們。西歐一撥局病。金機
蕾,卽使理打典病例作品那,但是對心。
Sinx
0.4
0.3
0.2
中文科練習二手力
(-)NFISTAN:
CUB..
( 2 ) 20
0.1
(3)型
(4)鱨
(5)假
n
100
20
30
40 .50
60
( 6 )
(7)
年以來規模最大之間
復活節佈道大會
出八晚在灣仟修場利舉行
堂恩主
新活復
(the boys bring the pint and the gallon coming up
one minute too late.)
Suppose the sum of money invest =£r?
3.
the gain on of £x = 30 of {_of_£x_=£180]
(*_the_loss on } of ax
6
Cen the gain on_the/remainder 100 or for ex
of
15
208 days.
50 x
* 4 daya
75
(Ansy
(8)怡
(9)挫,
(10)剖
踏
2
(11)鯝
( 12 ),
The L.C.M. of 3, 5 and 7 is 105)
The quantity of water brought in the first 105 min.
m35ptee •_21qts. * 15 gallons.246 gallons.
*, the quantity of water brought in 210 min. -494cala,
and the quantity of water brought during the next
20 minutes 6pts. + 4qts. + 2 gla, m3 gals,
the time required to filled the cistern
-(210+20)minutes,
(13)微
D
(14)路.
(15),
猛
(16)刻
片
(17)袂
(18)52.
( 19 ) ...
遺
婀
(20)...
-230 minutes. Ans.
Givenr
(Proof:
the whole gain on Er
7x1 250)
100*250-125)
7x
31.
100
}
Ani
The bisector of exterior angle BAC of triangle ABC meets the circle ABC in E, and BC produced in D.
To prove:
(i) E is the mid-point of the are BAC.) (ii) Triangle EBC is isosceles.
(iii).BC is the tangent at C to tho
circle ACD.
Li
[1=[2 (AD bisects ext."[A),
But, 12-13
(vert. opp, (s)
(ext. [ of cyclic quad-int.
Opp. Z )
[1/4
4., La-[4
•, ́aro. BE = mrc ́EC
E is the mid-point of "arc] BAC
.(1)
As arc By • arc EÉC,
RC>
(二)細閱下列文字,然後加上標鉆符號:
我們屋後有牛敏原地船都凍它荒转性可缩飥然你們 那及花生就推選地開顯出來從蕊花牛践需发遡個妹 和類酒小丫頭都很喜喪裝載土的動土灌淡的 解 月居然有较锻
攜碼證今跌我們可以派一個收展清你們在我 們的佐生如何我們節答護了必夠把花牛做或好我齡的食品
(三)把下列将重新浮列,使成一澄順句子器
(1) 猫人手以跟念;《
(2) 矧中建拉拉線皆辛。
(3) 荒於嬉於鱨勤精。
(4)行路密然說蕊英里。 (5) 悲少徒肶箍不力老大。 (B) 竿尺百步進一軀。 (7)山在國木河深碳粉草业
(9)金火紅爐混怕不。 (10)成佛器放下地定刀。
(四)試用下列操行各字串成通属句子(在您:不用依次序)
(1)罐,游,探
(2) ##
(3) A’*
(4)學排效
(5)深,然
the average rate of gain-3 per cent.
a2 (x-2)+b2 (x-by=db
2
2
wabx
3
盘
ક
b 3
M
Ab
(a+b) (a2-ab+b2)
a+b
Ans.
* FK =
+ triangle EBC is isoscales
As [3-/ABB+/ABC, (proved)
.(11)
(一)(I)越
中文科練習三ț七答案
(2)茨 (3) # (+)
(6) (7)E
[3-[A¥C+/6 » (ext. / of triangle int. 9
12 [ABE-16
But,
*pp. ■ )
/ABE-/5. (/s in the same segment)
*•, 15/6
"'., EC is the tangent at C to the circle ACD
(8)瞓(9)號
(5) #
(10)蚶
(11) (12) (14) (14) (25)廢 (16)缀(17) (18) (19) (20) 夜
(二)一起品罐的藝夜,我在險惡的河流中航行:沒有,
沒有月,天黑沉沉,地也黑沉沉,一切都是沉沉的。忽然 躍見前面河流的就齊處,為黑的脚下習,因動一點六 △閃得雙明質,又戰烈,並且十分確近。我很鎵歡的話: 「哈,老天保佑!快近住宿的地方了!」搖神的人糠滷來堂 大明明就在韓 一望,淡淡的苦:「遙遠宪!」我不落, 面,我只須再說,歲以到了。
1(三)(湯)()(內婚)(表)(學生)
(
(a) (b) • (AB), (B), (#), (#)
(AR) (#), (AE) · (REIA) (ILS)— 上列自金額以男性為本位女性期略有不同
將
三期星
B五十月三年四六九一一年三十五國民
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