1989-02-25 — Page 34

國民華中

育教:日十二月正年巴己腦夏

2

K

出

KAGR

2018

健

中華民國僑務委吴會頒發登記證台教新字第一一○號.

:

湖北

龉

CRAZY

tá

NERO-

『也刪斷中

1989 中學會考預習專欄

明德出版社

MILL & MALE PRESS -

Geography (21) **

P. E. Chan

Urban problems (continued)

(i) Causes

(B) Urban decay

(1) Causes

physical deterioration due to age and lack of maintenance.

environmental deterioration due to congestion.

social deterioration due to in- migration.

economic deterioration due to lack of incentives.

(1) Characteristics

poor sanitation.

unstable structures. fine and health hazards.

lack of open space and community facilities.

(iii) Distribution

-Sheung Wan, Western District,

banchai, vaumati.

of

(C) Urban Sprawl

(A) Traffic problems

increase in urban population. increase in the use and ownership of private car because of rising Tiving standard, separation workplaces and residence and longer Journey to work,

Increase in various typės of journeys, e.g. shopping.

increase in economic development. increase in traffic flows, of goods

and passengers.

unplanned road systems, e.g. narrow streets.

inefficient traffic management.. inadequate public transport.

(i) Causes

-rapid urban growth.

rapid suburbanization

Towns.

(ii) Characteristics:

-rising land reat in the

urban

area.

-improved communication.

increased car ownership.

(ii) Characteristics

into nex

encroachment upon surrounding agricultural areas.

loss of farmland..

traffic jams during rush hours.

noise and air pollution.

time 18 nasted."

mental stress.

{fi}). Solutions

improved pads, ile. widening.

increase in farm abandonment. scattered, development.

(iii) Solutions

préservation and conservation natural ecosystems. seeking a balanced development. establishing a green belt.

(D) Rural Decay

building new roads, ring roads,

bypasses..

constricting tunnels,subways,

footbridges, flyovers.

(i)

controlling traffic such as bus

義美

lanes, restricted parking..

limiting the number of cars.

移增

配港香

Causes

- rural depopulation.

urban sprawl;"

suburbanization.

報日僑華

ii) Characteristics.

- unbalanced rural population structure mainly aged peuple and children.

lack of efficient farm labour supply.

Dectire in socio-economic development because of lack of government attention. derebit villages.

(E) Solutions to urban problems and

their effectiveness in Hong Kong."

六期星日五廿月二(九八九一)年八十七國民華中 34.

improved neighbourhood design.

a) self-contained, units.

b) a more pleasant environment.

redevelopment of ald: public

housing estates, e.g. Shek Kip Mei.

(IV) New Town

a) Aims

meet increasing housing demand. redistribute

-the

population.

disperse industry.

improve-urban environment.

urban

to develop self-contained and balanced community.

11 Role of the government large-scale and long planning.

term urhan

legistation.

b) Characteristics.

provision of infrastructures and public utilities.

Urban planning includes policies of.

al landuse zoning.

b) New Towns.

c) Good neighbourhood design.

d) environmental redevelopment.

e) environmental improvement.

f) environment21 conservation..

(II) Role of a citizen

cooperate with the government

se public transport. mcimize pollution.

maintain good housing condition.

|(111) Urban planning.

(1) 1953-1963.

provision of low-cost housing.

in 1953, Shek Kip Mei squatter fire,

resettlement scheme.

basic facilities.

(11) 1963-73.

improved mass housing.

more than 2 million people was. housed.

better facilities including community facilities.

(iii) 1973-present

new policy ante Home Owreg Sebanes

HOESipg

(i) location

Suburbs usually aloni the coast where reclamation possibler

frem existing market towns». Zoning of Tanduse

(16)

public housing estates and middle-incono

private

housing...

separation

between

industrial end", residential. Fanduse.

commercial activities, e.g. shops.

Community centre and Vim centre:

cultural/educational

landuse.

medical service. recreationar dandirse.

(iii) Cheaper land:

(iv) provision of public

utility services.

(v) transport planning

-KOR

good peal, road network, adequate Thadinin,

unidading and parking. facilities.

(vi) environmental conservation.

-Woodlands,

-disposal svitomi Evaluation

inadequate office employment opportunities.

pressure

ch road connecting

new town and urban area.

Inadequate transport links. inadequate schools.

(V) Transport improvement

(a) Aims

expand and improve public transport.

improve existing road system. ensure more ecoronic use of roac system.

(b) Measures

(1) Mass Transit Railway

highly efficient. comfortable, reliable and relatively safe.

(ii) koad netwerk and tunnels

-express rentoways, e.g. Island Eastern.. Corricor. ...New

·Territories Circular Road, tunnels, e.g. Airport Tunnel. (iii) Kowloon-Canton Railway,

electrified and linked with the MTR: encouraging

suburbanizations dispersal of population and industry.

(iv) Light Railway

-(v)

More public transport

carrying wore people.

taking up relatively space.

(vi) plans for road improvements,

-re main road tinging shatin and

Tsuen Wan.....

@ tunnék lincing Sui Lok Yeren to. Diamond H.

Secord Cross Harbour Tunnel.

(VI) Urban Renewal

Comprehensive rodevelopment "pul), down pre-war puildings.

clear squaller,

road widening.

provision of open space. prevision of commurity facilities. taller buildings.

提並

血提出一項移

另方面,連接

(特)表示・東海底地必香港商會

投娄貿易围領隊是

油尖旺角環境複雜 容易產生問題青年

及所

黨,進償潮員

戲機中心及休題畫所,及鍾內照批會活動,但昨日亦有三名分别一位到事的辣的 靡的迷弟公民教育活動 内没有許多桌球室,罪行,其中亦有不少,故有效的避快方法。,置正蓓現來對症下榮。 尖藏投滅罪行委員的年 *指出,油尖及旺角區 未成年少女帝生關係等 顯出現郭及早預防才是 多下苦工,了斜他們的 昨自之座慈會乃油 會委县織大會主席蘇澈 高馁,毆鬥,枝與及,讓家長應要在問 通及觀察他們的行成沚 問題的關鍵。 戱成黑 她補-

,很多與黑社會 來自楊震社會服務中心,居民就指出,區內的夜情戲就能 油尖區橉法罪行委員 在家會廳,則會習 致學氣荒意及械化魏磊|,家長寧在與子女的講持良好的溝議將系

1989 中學會考預習專欄

明德出版社

MILL & DALE PRESS

shole in the figure, ABCD is a square of area 4 cm inscribed in the cresantred at 0. Mis the mid-polt of AD. 3M and CD are produced and meet at f

(a) Prove that

(1) A PAC 15 an triangle..

isosceles

(ii) PA is a tangent of the circle at A.

(b) Find Live!

area of

trapeziu

Mathematics (22)

Exercise 22 Geometry (II) Sectibn A

W. K. Lo

1. As shown in the figure, 0.5 the

centre of the circle. LAED-80

ZADF 70°, Find 8.

ABCP.

As shown in the figure x+x+110°=130

In A

XY

X-35°

CD

*x+y+70°-180

y=180o. =75*

(1) (2)

XY

-25

9-22:180°

8=180°-2x259

#120°

(Ans.)

=

1.275 cm

Ans

TES

(b) (1)

AG-AB-4

h.

From part (a), AEC-LASF and also.

CAE=LGAF (vert opp. Es)

AAFC and BASF are similar

(proved)

[11]. AC=CG-AG-10-4-6, cm

Area of AAEC Ares of DAGF

AF

Area of AAGF

=

(AC)(FG)str120

8.66 cm2

va2+52-2(4)(5)cós120°

= 461

= 7.8 c

6.

"Area of QAEC − {xg)?x8.66

= 5.124 cm2

Lans

2. As shown in the figure, LEDF=55°

and ZDFF=60", find LACB.

p the figure, A and B are the pints of intersection of the two circles. CBD and EAF are straight lines If AB-AG and G-BD,

As shown in the figure, ACD and BCF

LCDE-115° and ZAFB 32°, find ZBFD.

are straight lines. LABC=100°,

4. As shown in the figure, PA-4 cm, AS-5 cm and PT is a tangent at T. Find the length of PT.

Cak Prove that

(i);

A

· and

contru (11)

A AFG

and F

are

arc

concyclic

(b) In addition, if CGO

AB 4 cm, FG-5 cm and ZAGE=120° (i) show that 4AEC and AGAF similar.

(11) find the area of 4AEC.

8. (a) As shown in figure (a) ABCD is cyclic quadrilateral and /DAX= LBAC.

2

(i) State the triangles similar to AADX and AAXB respectively.

(ii) Prove that

AB CE+BC DA=AC BD.

(b) As shown in figure (b) P. is a point on the smaller arc BC of the circumscribed circle of an equilateral ABC. By making use of the result of part (a), show that PB+PC-PA.

As shown in the figure,

FED=180-(60°+55°)

65° ZDOF=2XLFEC

=130°

LEOD LACB-180°

·ZACE 180-200

=50° (Ans.)

3. AFC-120°- ZABC

180°-100° =80°

.. LBFC- LAFC- LAFB

=80°-32° =48?

LCFE=180°- ZCUE

=180°-115"

=65°

LOFF= LECD

- LBCA

ANEMD

(Given)

LPMD-LAMB (Vert. opp/5)

MAR=LPDM-90°

.*. APDM-AAMB (A.S.A)

PD-AB (con. sides, as)

.". FD=AD

*. LAPO=LDAP=45

.*. LAPD=/ACP=45°

.. APAC 15 isosceles.

(11) ¿PAC-ZPAD+/DAC=45°+455-90°

... CALPA

PA is a tangent. (diamenter 1. tangent)

(b) Area of trapezium ABCP

(AB+PC) (AD)

- SEA

=32°

(8+16)(8)

LORD LOFE- LIFE =65°-32° -33-

= 96 cm2

{Ans.)

8. (a)

(i)

DAX=¿BAC

LADE-LACB (same arc)

.. AABC is similar to A ADX

[Ans.)

ZDAC=¿DAX+ZXAC

-LCAB+LXAC

-ZXAB

ZABX LACD (same are)

..AABC is similar to ZAXB (Ans.)

(ii) Since AAGAADX

(A =

DX .BC

(cor. sides, similar

As).

. BC-DA-AC-DX .............[1]

ДАВСДАХВ

無勤不關妓會

麼,少係與觸

5. In the figure, ABY CD. 17.

AB-3 cm and CD-5 cm. Find the length of XY.

Section B

Figure (a)

Figure (6)

Solutions to Exercise 22

LBFD = LOFC+ Zcro

#48 +33°

=81° (Ans.)

Since Pris tangent to the circle

.LATP

(a) (1)

- LABT 14m alt.

AAOTA APT

PI PA

Pe

PT = PA-PB

* (4)(4-5)

-36 cm2

segment)

.. PT 6 cm

Ans. J

XY

AB

aka

5. In ACB

CX

=

CA

(b),

CO XS

=

AS

(curr, sides. sinila" As}

.*. ABCD = AC XB .....(2)

(1)+(2), we have

AB-CD+880-DA = AC(DX+XB)

= AC-80 (proved)

AGAF÷BAD1

(equal chords) ZAFG-LADD

ZAGE=180°- (Z GAF +ZAFG) - =1803÷(ĹBAD÷ĹADE)

=ZABD

Since AG-PB and FG-BD

ZAGF-ZABC... (prover)

(11) LABD-LAEC (Ext. Lof cyclic

cuac.}

But LAGF480 (conn.zs, #As) .*. LAEC AGF

C,E,G and F are concyclic (equal is on the same

side)

According to the result of (a).

PB-CA+PC-AB-AP-BC .....(5).

Since AABC is equilateral, Let CA-AB-BC=a. Substitute into (3)

PB-¿+PC+a=AP+a [PBIPC)=AP-2

PB+PC=PA (Proved)