★教僑華頁三第張六第日七初月一十年巳丁廣惠

育教僑華

14NT & Dale. Preci

1978

【中學會考試題預習專欄

Bigha 1 kimi

地理 十一

李婉儀

GEOGRAFIY (11).

suggested answers to

and 19: 18.

The granite found at location E experiences the most active chemical weather- ing-

The rate of chemical weathering is determined not only by the resistance of ruck but also by temperatures, amount of rainfall and dis- tribution of rainfall.

Chémical weathering takes place most rapidly in regions of humid climates, with high temperatures, or regions where the rainfall is highly irregular. The high temper- ature (31°C in July), heavy annual rainfall (2,000 fum) with a great concentration in summer (1,600 mm) at location thus favour chemi cal weathering.

The rapid rate of chemi cal weathering at location E is also aided by the non- resistance nature of granite. Amongst the four different types of rocks, granite is the one that is the most. susceptible to chemical weathering, It is relatively less resistant under the above climatic condition.

wing to the high tem peratures and heavy rainfall, chemical process such as

hydration, hydrolysis, car- benation and oxidation take place in the rack. The se are not only on the surface as rain water penetrates well below the surface along joints and cracks. Granite is a kind of well-jointed; coarsed grained crystalline rock composed of mica,

feldspar and quartz. The mica weathers the fastest and in doing so produces iron oxide. The feldspar decomposes slowly, and it combines with water to form fine clay, sometimes known as kaoli Following "lecom position, the resultant elay is washed out and the rock structure is weakened. Cou-

led with this there is a

considerable breakdown of the

resistant silica or quartz.

This can be partly explained

by the periodic rains, foll-

owed by a rapid dessication

of the rock which results from high isolation.

result of the stresses and strains caused by these chemical actions the granite and breaks ́úp.. cays

For location D. although the climatic condition is the same, rhyolite, a kind of

fine grained volcanic rock, is much more resistant than granite:

For location A, despite the non-resisrani nature of shale and the hot summer, the dry condition in that season. does not favour active chemi- cal weathering,

For b. th B and C, tem- peratures are cool, annual rainfall is moderate aud summer rainfall is scanty, such a climatic condition does not favour rapid chemi- cal weathering too.

19. The oilfields in Area A are located in the well dev- eloped industrial region in China. The population of the area is much deuser than Area B and abundant labour. is easily obtained.

oilfields in the area include the Taching, Pohai and Shengli Oilfielda. All' of them enjoy favourable conditions.

The Taching oilfield is situated in kanchuria, close to the important ind- ustrial cities such as lärbin, Changchun, Tsitshishan and. shangyang. The above indus- trial centres produce

il lot

of heavy industrial vods, eng, electric motora, steam turbins, locomotives, metal-

WAH KIU YAT PO

#1815

六期星

VA" # VB = VC

AB

10,

BC CA

lurgical equipment and iron and steels, and thus consume a lot of petroleum to gener- ate electricity. Transport- ation of oils favoured by the dense network of railways which links the oilfielda with refineries and the port. Luta, where oil can be sent by ship or tanker to other parts of the country and for export.

The Pohai and Shengli

are located in the N. Shang- tung Penisula în E. China, They are close to Peking,

Tientsin and Tsinap, which arè major industrial centres. too.

bilfields in area B are not so favourable since they are located in the Na part. of China, which is remo te from the coast and market. The population density of the area is low, and there are only a few scattered indust- rial centres, the local demand is therefore low. Except for Yumen, transportation of oil is difficult since there dre only few railways and limited pipline linkage between oil- fields and refineries.

REVISIONAL QUESTIONS!

20.

"Granite and conglomerate are two rocks found in long Kong. For each answer the following

Describe a local hand spec- imen of the rock, particu- larly its texture and minerals.

b. Explain its mode of forma-

tion.

21.

Describe briefly the land- scape it usually produces in long. Kong, and name an area in Hong Kong where an example is found.

The graphs below give details of Japan's power supplies in 1962 and 1972. Describe and explain the main changes which have taken

place in the power supplies

in Japan during this period, (chool Cert. 1977)

Figure 1:

The value of a machine.

depreciated by 20% the first year and 15% every successive year fat

end of four years, the worth $6000, what was its

value when new, to the

nearest thousand dollars)

Prove that

e machine was still

2x2-7x-3=0}

{2,8}

find the "value" of

If the roots of the equa- tion x +X+k=0 Are real; and the roots of the equation"

kx

= 0 are imagin- ary, find the range ny k,

SECTION B

9. Prove

by mathematical

induction that

+5 ia divisible

by 6 for all r n E N.

10

Find the sum of

terms.

11. 1 and 1 are two perpendi

cular unit vectors.

Given:OP

00

OR

+23 314-33 :71

=

(a) Express in terma

and

(1) PQ

(ii) M

(b) Hence, or otherwise,

that PQ // QM.

sh

12. Loaded die e is thrown

1000 times. The frequencies

of the numbers, which túrn

up is given in the follow- ing table

number :1 2 3. 4

fréqu ene

新數學 十一

金榮家

MODERN MATHEMATICS (11)"

Test five

Answer A questions in Section A and any six in

Section B. A necessary working must be shown. Section A (40) marks)

1. Find the IC.F. and L.C.Mo

(1+a)x

aand

blande are three con-

secutive odd numbers such

that be ca ab 1583.

Find them,

3.The average profit per

annum made by a busines

firm for three years, was $595; the average annual profit for the first and second years was $628k; and the average annual pro-

fit for the second and

third was 8474. Find the

profit. For each year,

In figure. }, M2 N. are

mid-points of AB and AD,

Find the fraction of area shaded. Given that ABC D

is a parallelogram,

the

$5

|120 100 200|180 150 25)

a) Then two loaded dice are

thrown, what is the prob-

ability that the sum of the

two numbers shown is 8 ?

(b) When two loaded dice are thrown, what is the proba- bility that both dice, show

odd numbers

(c) Two Toader dice are thro-

wn, and the sum of the

numbers shown is 8. What is

the probabulity that these

two numbers are both odd ?

15. The cost of a school

picnic is partly constant and partly varjes as the' number of students, For

105, students the cost is.

$935 and for 92 *

the cost is $844.

formula to calculate the

cost and hence find the. cost of a picnic for 320 students,

14, The population of a town

increases from 250000 to 400000 in six years, if the rate of growth is constant, in how many years will the po population exceed 1000000, 15. In Figure 2, VAC is an

isosceles tetrahedron. If

Figure 2

Calculate

日七十月二十年七七九一层公年六十六國民華中

3200 (1.00)*-1.06x-x=

2.06x-3595.5

*x=1745

The size of each instalment is $1745.

(i) the angle between planes

VAT and ABC ·

(ii) volume of the solid,

16. The shape of the graph of

the equation

is sketched in the given

diagram. It passes through the points (0,5),(2,9), (6,-

(L) State the value of K

(ii) Find the values of Pand

(iii) Find the co-ordinates of

the points where the graph

cuts

x-axis the (iv) What additional linear graph would be necessary to solve graphically, the equation

數學十一 女長波

Mathematics 13

Solution to exercise. Section A

1. Solution:

• (x+2+)

3x

2x+1

((x+1) 2

3(x+1)

Solution:

2

Let f(x)=x3apx2+qx-18. Since (x+2) and (x-3) are factors of f(x).

4(-2)=-844p-2q=18-0 1.6. 2p-q=13~~~~~(1) [(3)=27+9p+3q-18=0

3p+q=-3-----(2) (1) (2) 5p=10 p=2, Put p=2 into (2).

i.t.

3. Salution:

Ana

Ans.

Hate of working of X, Y, Z

11 are

12. respectively

After days, they finished

x++)

23

or

3 of the work.

Time required for Y to finish

1 day

Ang

4. Solution:

Let x be the size of each

instament.

[3200 · (1+0%)~x] (1+6%).

Given: BE, CF Fr altitude

of 16 2AEF=57

To find: LHCF. Solution:

RE, CF are altitu AABC

ZUFC=ZBFG=90°

H, C F F are conc ZREF=90-67-23

4BCP=2BFF=23"

Given; Bi bisects ABC

DE//BC.

AB-5cm, BC-7cm,

To find; AÐU Solution:

BE bisects 4ABC

ALL AB

•BO ̃EC

AE 5

EC. 7

ADAE

PREC

5+7

Solution:

tauA

COSA 1+sina

sina «COSA

rusi 1+sinĄ

SĂTUA ( 1 + sinÁ)+cosTM A

@@ 8A ( 1 + sinA

24

Bína+sin A-eng” A

COзA (1+sina

sinA+U

cosá (1+síná ) ReCA

8. Solution:

2

heia xi

4(1-cox x)+cosx--a

3-4СОВ ЗАСОЛКНО

Всая 2 сонх-3) (4cosx-3)(2nosx+1)=)

casx=

x-41 25 318 35, 12

or 240

Section B 9. Solution:

e.

Let SC be the daily cost of running a summer camp and N be the number of students.

then C=k+K2N (where

Ky are

321, +50kg-

471=k, +75kg-

(2)–(1) 150-25k,

Pur kosh into (1)

*321-50x6

-21

ek, and

constants)

-(1) -(2)

C-21+6N. when N=120 C=21+6x120

741

The daily cost for 120 students is $741.

10.Solution:

(a) x+2y=5k-

(b)

(1)

2 -(2)

from (1) x=5k-2y--(3).

Put (3) into (2)

y+

(5k-2y)y=4k2

y2-5ky+4k2=0) (y-k)(y-4k)=0.

yuk of

4k.

when yak, 1=5k-2k-3k.

y=4k,x=55k-8k--3k.

x, y, are al} positive

x=3k when yk

3k-k24

KEL.

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