1965-05-26 — Page 18

第二系張六第

自六十寿四年巳乙夏

WAH KIU YAT PO E

華僑教育

1905蘆中文中華會旗學 (5) P為已知角xoY內定点,本作二直线PA,PB典LO两边各出控股

HAR

日六廿月五年五六九一联公年四十五國民業中

英中會考經濟及事務科試題

數學科

(二十五)

齹仲强

B ̧ 4R PALPB & PA=PR (乙知作女題)

(作法)1週を作帖LOY,

第廿四次試題解答

|(12.12)求作一直线典△ABC之在边 BC平行,而典AB AC分别交於D及E

2

P17 POLPG £# PD=PC]

3

DVE DALPD BOX KA

並使B+CE善定長

4 TETAPIE PBI PA OY.

相关热

(240 £14, 40 24 u Ž).

#ACE CFL

23 F 14 FGH AB, § 8C AG

3作-CFG的分角线 FH典

BC** H.

4H EHWAO, ACE

5.1 E 14 DE II BC 3 ABED, GIDE 15.

Q.EF.

(b) DŽAABC 28C11- ★ ★ BD=2DC,‚Ì‚BE AB2+2AC-LCD +3 AD (2x)

(接近明) 1.平分BD於E,并联 AE.

(一线段只有一中桌,两鬓定一直线

• BE=ED÷DC (A BD=RDC) 現在のABO中

AB → AD ← 2 (AE + ED]

AAECAE+ AC =

4(1)(a),

AB +AD + 2AE +2ẶC — 2ÃE

(2)(a)

B

LED LED 4 LAD +HED

· 600* (*#AFE) QED

28AD2511 3 BUÆ K, LABCZOA

HRACKH ŽE KHILAB. (設法如題: (証明)),在△ABD中,醫== (4内角分角线,分对比其两隣边成比例)

2. AABCH, AL - AC (~ BKZ

3 \D=BC (平行四边形之对地相等)

•H.C

(等量代换)

8K-KD AH-NC (5) £78)

KD

H.C.

6. BK-KD = BOTOK-KD=DO+OK-KD=OK+OK=ZOK (⋅ BO=DO)

MzE, AH-HC-204

820_20吋 (代换) By OK! XD=0H•HC

9. KHIDC(分三角形两边成比例之直线峡第三边平村)

'0. KHII AB (*• ABIIDC, ☎ ZPÍ 1\. 6 *8 #43)

(b)083 LAOCZSAW, PBJEDE OPZ OA, OB OCTW

PA, 28, PL, SA UL AB=BC-

(設証如題)

(EEO) 1.15 0.P. A=217-25. (不共线三点,可作一园)

2 20AP-LOCP = it ? (E}0) 3. . 0. A, P. C共园(四边形时高柑橘)

4同理,OAPB亦梦园(由2至3)

5. 21=22 (ER)

6. AB=BC(等园周角好討之弧相等)

QED

3)(a) 在塔 CD 之東南方奌測得塔項之仰角為32°,由A向南偏西

80°行 300呎至B奌則激得塔在Bi比偏東37設A,B,C三 美同在|| 一水平面上,求塔高

解)設如右图:ACD為鉛老平面,

¿CAD=32′′ X ABC 3 »k??,

AB=3000%2CAB=45 +10 -55

ZCBA = 80-37° -10°43°.

LACB=180-(55 +431) = $2° 依正弦定律

300

AC 300 sin liz-

t ACD CD= AC tam 32°

NO.

LOG

300 sia 43° Lan 32′′

300 2.6777 sin 43°

Zom 32 799rie

-1281

茶・塔12910

← PA PB

O E. E

(註)):本題尚有一解答,如后圈的示,

2 60 10 12 14 ZAPB 11 1× 316k-$19.

解答否?

(O)NAME & ARBRI

一园使典已知园K相...

已知求作如題开云)

(leva) | 12 A, BA) −1+÷0

KADE.

2. TR ABR DE EXUEZ

H

3. 直联:HK:並以之茑直貛作

•ÆRKER CRC

AIDA,B,C (A,B,C)1%

园,即美好求

Q.E. F

附註)1. 本題:利用切线割线建理作團

B

(7) AABC 2 <A £13 BOYED, JER CHEK JP BK AC XA

ABR ADK

P $1 8P=DO

(85) 21*22, 8K=AC

(2) BP DC

\\[98) 1, 2)=22 (270)

2 BD DC AB AC

(ᅀ内角分角线分对边典

两都成比例)

3 BD ACDO AB

4 AB BR=BK BDAL 20-1892; 159 XE BK=AC )

AB BP-DC AB (***) BPDC)

(8) ₺ 4 ABC + 3★ TE (B-C) cat A+ (c_m2) cst B + ( a2 B3) cot C = 0 (E) & cot A==

(b = c2) cot A== ( b~

abc

AR

— _b = (b^ c^ ) ( 8^ c^ _ a1) = at e ((b* C*)-2°(6=_(')}]

lov (ca") cot B = ~ [(c_a2)-b(c_a)]

abc.

abc

(a=b") cot ( = ~ {(a^__^f^)_("a" by 以之代入方式

(8)52 to 12 AB. CD

AD=80=1at 之半程 及右图之面積

Q.E.D.

MAE 32. AD. BCBA ¥}} 2→

AB 3A = 5 at. De 3A = 3ot, ina

ECONOMIC AND PUBLIG

Time allowed two hours and thirty minutes

Answer the whole of Part 1, ONE question from Part 1 and TWO

questions from Part I

In Part 1 answer the questions in the order given.

Chive short answers.

Leave one line between each part of a question Op Not, copy the questions

in Paris and 112, answer the questions in essay form.

PART I

Irtempt all questions.

What is the effect of a shortage of goods on their price 7

What Industry is found in the in-shore, waters of Deep Bay?

Name two areas in the New Territories for which the Government has tanned industrial development ?

The following figures are taken from a 1963 table of Hong Kông, trade. Which of them represents Hong Kong's domestic exports ! $12.403 million, $7. 412 milion. $3.831 million. $i. 180 million

What is a customs duty? Give an example in force in Hong Kong,

Why Is it desirable to manufaštuté many different kinds of gooän In the Colony 2

Lt a stock market report days textiles were lively" what is means?!

List three ways in which a current account in è baħħ helps a

Af exporter insures the goods be sends overseas a benefit in this to him ?

What unusual face did the 1961 census in Hong Kong show about the ede-group 15 - 27 years How is this explained? ̈

Give three reasons for the rise in land values in Hong Kong during the last few years.

What is the purpose of each of the fallowing?

(10)

(iv)

Making schools biseesional,

Giving B. G. vaccination to bables.

Sanding Labour'inspectors to a factory at night Issuing preference certificates for Hong Kong goodi. Arrahwins extra-mazal courses at the Univa emity

To the reader, what is the chief value of the editorial in a newspaper?

Why should a citizen donate bibod to the Bloon Bank i

If a tenant wishes to enquire about rent increases which na feels are unfair. where should he go?

What is the usual way of settling a workman's claim for compensation. if the accident is not fatef?

Which Government Departmani is the chief sins with the s Kai Fong Association?

How are the armed forces of the Colony Jinuncas » {

What in the Mascotius Bureau and what work dose in do

A judge in the Supreme Court presidea at è trial. Stato twa

cothara ui his duties during the trial.

State three duties of a member of U: N, O,

Where is the International Court as JUMTEGA 1-

(解)設國心角美 ° 小园半牲=小时 則大国半径

Ž (2+1) ot

B31+3=5

ᄀ

Answer ONE tuestion only

1.5吋,可開成面積為4味

Explain fully the general factors which determine the sodation. of major industries. Describe the special reasons which led to the development of the local shipbuliding and steel-rolling" industries

What is meant by "consumer7 Show clearly how the fo061 consumers of Hong Kong cotton textiles are dependent on groups of people both here and abroad.

79938

2.1109

ABC a+c= 26, tez Cot

PEL) tanta tan =====

Stan

扇形OAB

IN { OCD

31 5 == (a+b+c

= 2 ( 2b + b) = = b.

25 = 38 ( $ 112 +244)

ABCD

tan tan

答:两园半径各季》

S

(10) A141=A= 2 am 5.18 at 1-6. 2603

CA$436

(BE) besin A—6:26 sin $4.35

QED

tan 3x + cot zx (xmi ib 10° 20°) £‡IA<\/

至20英間隔只得10°故取值時通隔 2取一值蝨列

X

VR16 185

tan 3x 0577 0.727 0.300 1111 1:376 1732

cot 2x 27482246 1:2811 600 1:376 112

$325 5973 27812918 2762 2820-

b>a> b sinA ******** 依正弦定律

二

(a)

B=80°2

(=2.9之直线得两交奌x=12.6°或19.8(答)

| C=180-(A+B)

sim A

LOG

NOR 204.

0.7143 5.18 minus 19" 7_8518.

0:5661

PART IN

Answer: two questions.

In what ways are warnings of a typhoon and its effects given to the people of Hong Kong? Show how the citizen can co- operate velhra, during and after, the emergency. Describe: sled the work done by, ing Social Welfare Department during Amayken Kunhanok

0.7078 51 03/430

7-9935

2E12 0,6549

0.714)

I am 25.31 T 4343 0.3432

What changes were made in the composition of the Legislatium® Council in 1964? Explain carefully, and illustrate with examples, the duties of the Unofficial members at the full meatings bi the Council and elsewhere.

Distinguish between 'resettlement and 'low-cost housing' and.. show what type of accommodation has usually been provided in

each.

1738

10.43742

Describe and bring out the value of the new MERILLFUL

to control aquatters which were announced in 1914. What are the first three priorities for resettlement? Show how the funds,

for the building programme will be obtained,