1972-05-19 — Page 23

REFERENCE LIBRARY

日橋

育教僑華 頁三第張六第日七初月四年子壬曆夏 WAH KIU YAT PO

18 MAY 1972

CITY HALE

五期星 ®

日九十月五年二七九一曆公年一十六國民華中

cutt & $48.2 1

1972英文中學會考試題預習專欄

解設其空洞之半徑為rn則空洞

2πr3 cu in

堅道英文書院主編

歷史科

(IL)

9) P) Domark lost Holstein & Schleswie

by the Convention of Gastein.

e) Bismarck gave France Nice & Savoy,

This kept France neutral. R) Italy was friendly with Prussia

because of the French garrison in Rome,

S) Bismarck onanges ine wording of

the Eng telegram to provoke France. F) The coal areas Aleace & Lorraine

were annazed to Prussia by the Treaty of Frankfurt

文中醫

數學科 (廿九)

一張正邦-

續上期預習題解答

a.求證若xa哭え調和中項

證

B) xat xb at 6

x

atb

206

-a

a+b a+b

?ab-azab

zab-abb

a+b

a+b

ab-a2

ab-b2

a (a-b)

a+b

a+ba

a+b x a b = atb = 2+ a-b

ab

3b. (a2+b2) cd = (c2+d2) ak

J] a b=cd.

(a2+b2)cd=(c2+d2)ab

a2+b2

zab

2cd

The biz a th2+zab c2+d2+2cd

a2+b2-zat C2+d2-2cd (a+b)2

(c+d)2

(a-6)7

Bp ab-C

d.

4a den abc

+ b2

(a-b)(a-c) (b-c)(b-a)

ab

+ ((-a)((-6)

-((-a) (C-b)

株式=-

a2 be

b2-ca

(a-b)(c-a) (b-c)(a+b)

ab

((-~-~a)(b−c)

· (a+b)(b−c)(c-a)"

[(a2bc) (6-c)

+ (b2ca) (c− a) + (c2 ab) (a_b) |

$Q=b b=c § (=a 17.01$

(a2bc)(b-c)+(b2-ca)(c-a)

+(c-ab)(a-b) ** tx (A-b)(6-2)

(c-a) ty (a2bc)(b-c) + (b2-ca) ((-a).

+((2 ab) (a_b) 2 (12)

Bx (a==bc)(b-c) + (b~(a) ((-a)

+(c?-ab)(a-b) = l (a−b)(b−c)(c-a)

·α=0, b=1 C=2 kλ kd

−2 (-1) + 1×2 + 4(-1) = | (-1)(−1)(3)

該鋼球體之體積為告(合)com

(x27 {TY3) culm

cum 2018 (548.2=1728) 1b. -1 KB] = [(#πx27 - πr3)

548.2±1728] 16.

~ - ( // × 27 - // π13) ×548.2 +1728=10

19477

2 $12 $2.69 in

56. 若煤之價值增加40%某入減少 其消耗量20%試求每年煤費改 愛さ百分率

Bp Bl tot 100 tons To✡ ton ID: 102

款項單位則共值10000款項單位 *=*=✡7.20% Ep 80 tons. 煤之價值增加40%即140款項 单位:則关值 11200款項單位 費用增加品(11200-10000)款項 单位:

112.00-1000

1.000.0

-x 150%

答煤費增加12%

ep 12%

6a一火車長 120 速度為45

源麺過号沿同一方向 36 mph 2 x @

V2 50 40C.

History (29)

1) The Italiana learnt from the failure

of the 1848 Revolution that

求第三火車之長度若被等以上述之速度34 而相對行走 誠求完全互相經過之時間 解(若完全越過則第一火で火頭A

所需要追上第二火車頭B之距離等於

24 39X¢ kk 212. Beto Hisp By 50 sec

A w/ (45-36) mph are pre hr VA A BLB q com

9×1760×50 60×60

Az I. B 9x50

60×60

220

即两火車長廣之和端220. 由己知第一火車長度為120.ya

第二火車張度(220-120)yd Ep 100 ya

若該火燒以相對才向行走,則兩 22 #tek (45+.36) m. P.h. BP 81 mph. Dith hek 9 mph #2 of 150 sec

文當相對速度為81mph時其 經過之時間為

Rp 5 aec

[•* (Q2-bc)(b−c) + (b=ca) ((-a) + (c=ab) 6b A W2 40% 241 1 4 -6

x (a - b) = 0 原书

46 化簡

(a-b) (b+c) (c-a) * 0 = 0

· X4+3x3-2x2-2X+ |

解:原式=

(X+1)(X-2)(

(X-2)(2x-1)(x2-4x-1) T: (x+1)(2x=1)(x2+x=

(X+1)(x−27(28−1)(^^+X−1)

2(2x-1).

(x+1)(X-2)(2×−1)(x2+X=1

(X+1)(x-2)(x2+X-1)

4x2=x+2

5a - 空心之銅球体重10.16.而其 外直徑為6m若其空洞為球形,以準 唯至3位數字求其半径已知銅

BTX 60% ZZ111z tx coc

則以5%之虧蝕率將之與D若回覆 ASAT £187 25 * Az ‡l Æ.

殿A買入試車之價值為100計算

}] B 2 A16 = 2140.

C2A-X(160 x 140)

=224

0 2A 18 = 6( 224 × 25).

2168

DWA 2A1 € 142 68. DJALA 慣原ま100

★ DŽA ZA 1 1218/ BJAZ

Arab &(473x100) of £2.75

A 2 + 1 = 275 x 2110

A2110!

試卷一解答完!!

A) the need for a foreign alay

3) Piedmont was the only possible amou

C) Reforms were needed, to withstand

Austrian influence

D) Both A & B

E) A, B & C

Which of the following statement 18 not true concerning the reasons for success of the Italian Unification?

the defeat of Austria by Piedmont with French help

Garibaldi conquered sapies & s10117. Central Italian states plebiscited to join Piedmont.

Economic & military reforms under Cavour in Piedmont,

Piedmont expelled the French, garri- vong, in Rome.

The following are all problems encoun- tered in the Italian Unification: except

The Papal States were not to be attacked.

Prussia did not want war between Piedmont & Austria.

C) Austria had strong influence où

the Italian States,

D) Genoa wanted independence & trado

development.b

King of Naples was jealoun of PIGULUM

TAG ILLOWing are sil problema andoun- tered in the German Unification except

1) Prussia & Austria competed for leade

ship.

The Frankfurt Parliament with members representing different German Stat could hardly come to unanimous agre monte

G) Prussia Mầu hồy, Nauz to include

Austria'a colonies into the Germa Confederation.

3) French ambitions in Germany.

salon or the following is Not true concerning Bismarck's indeals & policy?.

Military glory abroad to arouse stronger desire of other Garzan statsa té unite under Prussia,

Using diplomatic skills to deprive enemies of allies.

C) Heavy taxation to build the army.

D) removing censorship to gain support

of liberals,

E), using the Zollverein & Prussian

league for economic reform,

6) which of the following is Hot true

concerning the attitude of the Fower toward the

the Crimean far?

P) Britain wanted to check Hussi&'s

naval powerj

Q) Piedmont wanted to gain sympathy

from Britain & Prance in her plans

for the Italian Unification. Austria wanted to check Franos. Kussia wanted expansion in the MediterraILOST.

T) France wanted military prestige

avenge for the humiliation over

the Kehemet Ali Affair.

In each of the following, point out which statement is Not true,

The immediate cause of the Grinean fax was the guardianship of the Holy Place.

Q) Britain was horrified by the at.

Petersburg Speech 1853 & the Treaty of Unkiar Skelessi 1833.

R) Both the Turkish 4 the Russian

flesta were destroyed in "the Crimean

3) The Black Sea vas neutralised by

the Treaty of Paris 1656.

1) Britain & France gained prestige

& colonies.

8) P) Cavour gained support from Franos

by the Compact of Plombieres 1858,

Q) French & Piednoatose won the Battler

of Solferine & Kagenta against “Austria,

Mazzini's Zuung zralian sovepent 1830 created Italian patriotiam. Republicans helped little towarde the success. The British flest off Harsala the Italians moral support.

10}P) The 1840 Revolution overthrew the

old Austria.

Q) Germany was left as 39 atatea by

the Vienna Settlement 1815.

R) Italy remained as 9 separate stave,

before unification.

S) Both Prussia & Piedmont first unna

Anotria as an ally and then oppored her in the course of unification. T) Both Bismarck & Cavour favoured

strong constitution & reforma,

Austria favoured Pan-Blavism. By the Treaty of Unkiär Skolepsi 1833, Turkey secretely agreed to open the Dardanelles to Rusaian warships.

The Treaty of San Stepheng was replaced by the Congress of Berlin D) Pan-alavian was a movement aiming

at liberating all Slavs from Turkey, mea

The Balkan League 1912 was forkor to fight against Turkey.

12)A) Britain abandoned her isolation

policy in the First World War by first making Allianca with Japan, Europe was divided into 2 camps namely the Tripe Alliance & the Dual Entente.

13.

"Serbia vsa 201

outbreak of World War I because

she encouraged Fan-Slavica, The decisive turning point of World War I ngme with the enters of USA.

E) By the Versailles Treaty, Alsace. & Lorraine were given to Swit land.

Alexander 11 emancipated the. Sexta in 1861.

The Zenatvos, district councils, were introndoed in 1864.

The March Revolution of 1917 in Russia was to replace the Tsarist Tagine with Consitutional moneroby, The Social Democratic Labour Party was split in 1903 into the Bolsh oviks & the Henshevika. Stalin introduced the Five Yeaz Plan & Collectivization.

14) in the Second World War, Italy wan

under the control of Hany MBB under.

while. Ger

A) Kussolini & the Fascista Hitler

the Hazia.

B) Mussolini & Fascists.

Socialistas n

C) Stalin

& Nazi

Fari

D) Kussolini & Nasi

&Nadi

Hitler

Hitler

Hitler

15) The formation of the League of Nations

was suggested by

4) Angle-Japanese Alliance

the Fourteen Points Britain & France Britain & Holland Britain

Answers (Laaue 24)

12seus 28

a

Har

વ