1972-11-03 — Page 21

EFERENCE URGAN

育教奉 頁一華張六第 日八廿月九年子壬展至 WAH KID YAT PO

每日停

五期星

1973中學入學試 試題預習專欄

以换

日三月一十年二七九一屣公年一十六國民華中

主乘竄時庫的解合入

也加等我願·不局能 鄒第聯

1973英文中學會考試題預習專欄

智慧出版社坒摄

歷史科

(-)

蔡林岛過,非您數 比基 辦的

新來加六數入部份用的爲源合

概適法分的的跟助候困時有擴的的向線者的

數學科

從概念的形成 看數字的學習

·概的六九六九

三光後

·郭達民

五八:

怍此可見簸學習方式對於整助希橛有一

有的極點,熱版方法。花两城

(二) 位值、奇數、偶數、質數及合成數

(一)位使與數值,我們常用的數目,是由091929394959

7,8,9這些芮數所組成,我們利用位值,將那些不數排列在不屈的位置

,使可組成任何數值。例如我們用3,6,9這三個基數,若9在不同的 上,可組成幾個不同的數值

1369(三百六十九,九在個位或得第一位》

396(三百九十六,九在十位陽第二位》

936(九百三十六,九在百位戒壤第三位)

::由上列三個數目中19在不同位置中,它所代表的數量感不同。在第 一位,牠代表的值是19在第二位,牠代表的俏品,在第三位,牠代

($1,900 el come

船廠春敏文類數,偶數又卻變數。凡鄃波2整除的 「數日,我們它器澳數,如24,698,10,12...............。凡不能優2m除 的數目,我們啡店燒衛数,如,375-758114,p最大的叫位偶 要999元,最小的用位偶數是1000,最大的四位否數9999,最小,四位

21001. AS

(三)質數其合成刷,茶断除了館成立於1能除外,其它午間數 「帶不能整除之,這些我們不會次數。在自然數中,除營數外,其它坡 包含或數。我們不支持最大需數或合成數,正如我們不能在無窮盡的 「[經數中找出一個慢大的谢一偿。

練習 題

多項選擇題

選出正確的答案,用筆在右方適當的小方控內

I. 在1237中,「3」买小?」的位值相差多少,

B.T

BCDE

A. 30

DL 23

E27

在500941

1」的位筛被「6」的位值

A. B. 18 C. 20 D..2

ABODE.

在二位數中,最小的五個偶數和是多少字

□□□□□

A.

70 B. 100

D. 1022 B. 12

ABCDE

在下列五個數中,何數是質數?

A.91B. 117

D. 139

E. 253

D. 15 B, 18.

5.在下列九個斷中,向數與其他的數不同額?

A. 10 B12 C413

6.在下列五個數中,何數部整除459,而得

的商是質數?

ABED

ABCDE

PIQ.3 R.9

S. 27 T. 17

"PQRST

□□□□□

下列五個數中,皆能整除600蚨送出生

中一個,所除得的商數是有數

S. 25

Q..15... R. 24 1775

.PQRST

□□□□D

8.下列三個航啦!

121.

【不含有因數11。

R. 64559

下列五個數式中,何數式的結果是質數?

/P-256+71 Q.614+2

R. 155+5+-2

123×4-12

T. 168+2+1

PQRST

□□□□□

下列五個數式中,何數的錢果不是偶數?.

P.37x13+1

R-318+3

S. 3x4+1

T. 7×4--2

PQRST

A. 4525

在三位數中,最大的五個奇數和是多少

B. 525. C. 4575

·D. 4925

E..4975

在五位職中,以授小的奇數去除最大的偶, 數,其餘數是多少?

A: 9 B. 989 C. 9989

D. 9999

5. 89

13.求201至200的質數和是多FY

A. 0 B. 203 c.209

D. 412

10-207

14.由0至10的質數和是。

D.3的倍數E3的約數

ABCDE

ABCDE

□□□□□

ABCDE

將厥小的五個奇數和減去最小的五個偶數 和其在是多少?. SAL30

A BODE W:□□□□□

B.5

D55B 25

乙部行興耀1

16.用3,6+375五個數,想成一個最大

的五位數。

17.用207.6789五個數字,組成一個最

大的五位数,及一個最小的五位偶數,間 道兩位數的差是多少?

高潮用305迨三個數字成的三位數

那有個數的和是多少?

19.在93254年:「6」的位確是「3」的位矿

多少倍?

20110宾122間的一個質數是共麼數?

21.由10起至20止,把所有的質數加起來學多

由ļ起至10止,把所有的之數和加上所偷 合成數的和,找神底是多少?

由30起至40止,所有合成數的和庭所有質 數的卻,其少?

位數中,以最大的合成數去除形大的

數中,以焰大的偶數去金大的合

在二位数中,以最小的重數去乘最大的合

在四位數中,最大的合成數膑转小的奇觀

一位数中,最大的

4,316, 32, 64PTE

30,在19419,15,25敢下去,下一

5

73059.

A = +29

17,95

49:2

(105+5× (347

A B C D

吕品品:

2,007x195—1

105 +5 x 3-1-75-2001x195-9

26.3與4元和的7倍

"C-25).11.

275539

3元之和的7倍

+x(12),

51.5:10 3. (19)2-37,574

(24 74.

2815

(本瀾逢星期一、三、五列出)

21 3.920 25810 72936775

History (2)

Question: The Opium War 1839 nas been called by some historians.

• The Trade War. How far is this statement justified (reasonable) with reference to the causes for War.

The Chinese fought the.

•Opium War mainly because the.. continuous import of opium had. caused physical and noral bank

ruptcy of the smokers and economio -al wealmess with the outflow of silver. However as for the foreië. ners, it is quite justified to say that war was fought mainly becausr of Trade. The Co-hong system had caused great inconvenience & discontent on the part of the foreign merchants which accounted most for the final outbreak of.

Nevertheless, there were war. also many other causes for war which were not related to Trade.

The opium question, with its bad effect on the Chinese economy & health, had been the most impor tant underlying cause for discon-- tent among the Chinese, which finally Ted to war. However, most foreigners thought that if China: did not like the bad effects of opium, she should stop the people from smoking instead of stopping the opium trade. Therefore they- considered the opium question. nov. as an ethical problem but as a problem:of trade

Indeed the Co-nong System since the 18th century had caused great inconvenience to the foreign merchants. The main reason was that China was a self-fufficient agricultural country and therefors she did not want trade. Trade Wag allowed only for revenue from import-taxation and as a generous, favour to foreigners. Consequent- ly foreigners had to go through expensive, timely & complicated M trading procedures such as: petition to the Chinese Govt, heavy import duties and bribing: of both the 13 co-hongs and the Chinese officials. With the Eight Regulations、1750, there was even greater restriction such as thost on the trading season (October March), location (only in Canton and residence. But on the other hand, there was great. demand for trade from the rapidly increasing. manber of merchants because the end of the monopoly of the East India Company 1834 had enabled. free traders to trade with Chine These traders were irritated with

the restrictions which China forced on ther

________ At the same time Aqam Smith's

1aea of free trade became very

popular in Britain, This made the

зritish more disgusted with the

Chinese policy. Besides, the

gricultural and industrial:

revolutions in Britain had result:

wed in: increased production &

demand for an overseas markets. Thus for economic survival, the British Govt. would desperately try to protect her trade in China- - the biggest possible market. When China refused every diploma o- ic negotiation, Britain therefore risked to use force

However, there were many other

causes for war which were not

related to Trade. The deep-rnoted.

discontent between the Chinese

the Foreigners was the most

important underlying (intermedrate)

cause. Such discontent was not

caused by trade alone but was a

caused by many othern. things:

"China was proud of her

culture & was ignorant: of western: diplomatic practice. She therefore treated all foreigners as tribute bearing vassals and insisted on Chumiliating kowtowing' e.g.

Amherst's mission 1816 & petition procedure through the Co-hong. The British however wanted equal diplomatic relationship; but China” refused all her attempts since 1793 (1.e. Macartney, Amherst, Napier) Such humiliation on the. British sowed seed for the inevit- able outbreak of war.

Besides, China's legal & dicial systems differed founda- mentally from the British ones. China insisted on 'Group crimina

骑其決裂的,的後來定的折子然。的了一來海否出二凫期

還做了應而

滋的

1978 3

中文中學會考試題預習專欄

物理科 (二)

測驗壹解答

未泰初

申部(共40%)(每答案一分)

()(1)密度(2)每立方厘米若干克(3)每立方呎若 干磅(4)每厘剌克(5)每立方呎:62.5磅

(f)3%工,已知:长度L=70cm,直接D=

0.8cmy, digy=13.6365 求:水银湩W=?got

解:(1)據:圆柱体体積:V=¢D% V = = πC (0.8 cm) x 70cm = 35.23

2)據:質量M=VD

478.725

據同一時間同一地點背景與重量 的數字相同。

答水銀柱的重量為478.7克重。

(二)(6)比重(7)某物質的密度與修純水密 度3比。(8)相同(9)1(10)數字的單位為!! (1) M. KS,制密度的單位是K,化為C

10° g 0.001 /%e1

相同。

記

,000

三⇒ (5)佔有空間,由觀感知其存在者。(1)構成 物體的材料:(1)定量的物質,(1)物品的 類別(19) 物理 (20) 化學 (2) B (22) C 註:()應為比重體積及重量。

1)(233) 物體所含物質多寡的黃(24)物體所. 受地心吸力多少量(25)無向量(26) 向星 (27) 常量 (28) 变量(20質量 (302重

(31) 重量=質量X重力加速度

(e)3%答:1克的重量就是1克質量的物體 祈受的地心吸力量,

·Z%[(60%)

陶餐佔四分計算題佔台

((a)答:亞基米德原理是:物體浸入流體 註:包括液體和氣體)中其所減輕之重量 (註:即所受之浮粉等於此物體所排開流

(1)浸入水中露出水面長=200w(ii)浸入液 体中,露出液面60

III:解:(1)因棒重=浮力=排開水之重

(ii)因捧重=排開A液重

A液體精 A液之密度

20

responsibility whale The Britisk favoured self-criminal respon— sibility'. (e.g. Lady Hughes casi 1784) This had caused constant: conflict between the 2 nations.. The murder of Lin Wei-hṣi 1839 was a further example and this, above all, was the immediate cause for the Opium Wari

Furthermore, Lin Tse-Hsu's strict measures against opium provoked the British & was taken as.an; excuse for war. Palmerston, the British Prime Minister, favour -ing a Gun-Boat policy, strongly advocated war. These were all. very important factors leading to. war but were relatively legs

·influenced by trade..

答:重0克重;A液密度為每缠1.25克。 (二)答:比重構造如圖所示和其象形如 蜓頭部肚部和尾部...頭部 內威铅丸,使比重計三頭卻為最 0.75精面重,故重心低,頭部為團形,故能 在液体中自由滑動過傾斜時能 吉米来面保持直立。肚都凸出,內威空氣

使玻璃管:空氣及钻重與排 開之液體重相募,故能浮控液 体中尾部為刺度,倮在刻度中 能主賣出液體之比重。將比重計: 插拨°C主純水中時讀出其比重為 .若插於濃硫酸味,因硫酸比

銀

̇水重,故排開較少之硫酸,所得之浮力能與 | 比重計的重量相等,故濃硫酸面在水面之下得 艾比重為1.8.若插水酒精上晤因酒精比水 輕,故比重計下沈至0.75處設出酒精比重為

0.75

(Specific Gravity Botule) { }}}} <I WL, 比重滿感碳粉及水重:Wits 50.229. 工求: S. G..=?"

註]上述符號之日洸:及B兩物體同時掉之 重為Wats,即知兩物體重量之和,而不知 ※兩物體分割之重。而WAtWe為將物 體A及B分别秤其重,而以加法計算其重 量和

正解:(1)與硫磺粉同體積水重

50g

1,639-50,229=0,317

物体碰

0.638

磁粉之比重為1.7.

(a)答:利用游標尺测量液体深度方法:

·將游標尺之尾伸至液底,而將尺之末端與液 面對則可在讀數中讀出液体深度 如下左圖所示

6)(1)下圖的物体,其长度為0.63厘米。

(2)在未量物體時,將尺靠合,則主尺之零點

游

fax 左圖

游尺

(b) 右圖

相差的長度

5

+

與尺之零點對劑特物

體放入兩鉗問後,由主尺零點讀 至游尺零點滑0.6cm及相差三

长度。 (3)因游尺十格:長等於主尺九格長故 游尺每格長為7cm+10=0;09 cm,在圖中主尺

吕與游尺D對齊,故相差长度等於AB-CD =01mx3=0.10x 3 = 1.30m-0.27 cm

=0.030m.

££*$* 0.6 cm + 0.03 cm = 0.63 cm

一未完下期續

In conclusion, on the part The foreigners especially the British, it is quite reasonable t eay: that the opium war was fought. mainly for trade considering the great humiliation & inconvenience. from which they suffered in order to trade with China. However, the most important factor for war remained to be the discontent: cbetween the British & the Chinest which made final outbreak of war inevitable. Such discontent was caused not only by trade, but also by difference in diplomatic & judicial practice. Above all, the conflict between Palmerston & Tin. is firm policy also accounted much for the final outbreak of war in 41839