CITY
HALL
育盛華 R
頁三第三
日五廿月一十年未丁思
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11463 英文中學會考試題預習專欄
江學科
LESSON
AATHEMATICS (9)
·歐陽謚文
RADIAN MEASURE.
DEF. ( Radiva) A radion is an angle.
SUBTENDCH
the centre of any circle by an arc equal in length to the radius of he Circle, and is denoted by As in the fig., O is the cents of de curch of radius 1 units,
If are a Sr units, then a ADB = 1° Suppose « 808 = **
AB
WAH KIU YAT PO
#
英文中學會考試題預習專欄 1968
英文科(九) MRS BENNETT
English (9)
Answers to raper VII
1. He turned north because ne could see a large river] to the south and guessed there would be villages there and he did not want to be seen..
7. He wanted to spend the winter in a chieftain's hall
because he did not like being alone and wanted the company of others.
He describes the Germans as thick-ngausu whacrije rather impolite way of saying unintelligent.
4. The Saxons had such poor land to farm on because it
was made into marsh twice a day by the sea that they were prepared to take considerable risks to get better farms.
5. He wanted to learn about the political system of the
land and he thought he could best do this in a village,
6. He laid down his weapons to show them ne came in peace. 7. The advantage he had was his ability to speak their
language.
8. The most dirricult obstacle to overcome was to avoid being killed by suspicious warriors who attacked before they asked for any explanation.
spotted.
9. a) on the right course, b) raised, c) saw,
d) salty. a) duz, scratched. foto spend the winter h) armies gathered together. 1) saturated. 3) barely sufficient. k) systém.
Hence
degrees
=180
Which 4 is the formula connecting the sexagesimal measure Cin
degrees) and the circular measure radians) of an angle.
10.
In general, if a = the no. of ategrees of an angle
on the no of radions of the some angle.
Then, we have
NaTEL› Since a radian is a constart. it is taken as
a Standart unit and the number of radians
contained in any angle circular tev radian)
spoken of as its
system, an angle au đo this
usually decored by the unit being implied.
a mere notes a pumber, 3:141555
The
the symbol stands alone without reference i when
to any angle, it denotes 3.141592
the symbol.ʼn is used to denate any angle, it is again a number 3, 11578 -8 the number of radions in 180", m
What is the radion measur Let O be the no of radians in Than
7.80*
45.225
45-225 M. 22 6.7893 ( radioms 3
180
EXAMPLE 2. Find the numerical value of
(0) SHO + COS + cat #
(sin + cas.
Although is a sailing alone and in winter ine
voyage was not too difficult. The tide took his boat down the Thames mouth and at ces he raised the sail and a west wind drove him in the right direction. The third morning he saw land and turned north to escape fictice. Having larked among dauertéd Banıd– dunas he slept for twenty-four hours
Next day he started to look for choi tain home for he was a sociable person and getting lonely "He noticed the land was changed marsh by the tide, ardly any crops could be grown. On a low hill fur away he saw a group of thatched roofs. In a village he hoped to discover what political system existed 20 he began walking dispiritedly towards it. 130 words
Paper 17
Choose the correct word,
To swim across the harbour would be (axhaustive. exhausting)."
2. Her fiance created at pangasnt, pleasing, favourable) impression on her father."-
3. The speaker was very feloquent, voluable) on ene
subject of capital punishment.
4. 1. could not stop yawning as I was so (disinterested:
uninterested) in his speech.
You must first study the (principles, principai of the subject.
6. He left the room without a permit, permission).
7. I went to sea a fortune-tellar who bases bia (predictions, calculations) on (astronoms astrology),
B. They find the noise of the traffic wary (distracts
diatorbing).
Please do not asxe any ('sound, 00138) during thes Ceremony.
10. He told me not to bother over such a
selfie), matter.
CIBLA
日六月二十年七六九一老公年六十五國民霋中
Put the verbs in brackets into the correct tense,
As the day (to go on) and darkness (to fall) in the streets outside the number of Christmas shoppera"
(to seem) to increase. The assistants in the store (to be) kept so busy all the time that they (not have) a moment (to exchange) more than an occasional word with their friends as they (to attend) to the never-ending stream of customers. Their legs (to ache) and they (to long) for the moment when the doors of the store (to close) and they (to be able to have) a cup of tea and a cigarette before catching the bus home.
The following sentences are incomplete. From the four one which best completes the endinge given choose the sentence.
She walked very fast
a) and got a pain in her side.
b) that she got a pain in her side. c) but she got a pain in her side. d) she got a pain in her side, The book contained detailed adv a) like: how to build a dinghy, b) how to build a dinghy.
c) about how to build a dingny d) on how to build a dinghy. The driver could not help a) from running over the dog.
b) running over the dog.
c) to run over the dog.
d) himself running over the dog Would you be
a) so good as to help ma
b) as good as to help me
c) good to help me?
d) mind helping wa?
5. He asked na
a) that I knew his friend.
b) if I knew his friend.
(e) did I know his friend,
d) I knew his friend,
6. I have been writing this assay
a) from the last hour.
b) since the last hour.
e) for the last hour,
d) during the last hour.
He was elected
a) as leader.
b) to be their leader.
c) for leader.
d) to leader.
8. Although I told her not to
a) but she still did it.
b) however she still did it. c) and she still did it.
d) she still did it.
When learning to drive a car
one of important things is to concentrate. b) one of important thing is to sonsantrate.
c) one of the most important things is to
concentrate,
d) one of the most important thing is to
concentrate.
It was essential
that we shall be there on time.
that we should have been there on time.
c) that we should be there on time, d) that we must be there on time.
In the ongcaan Language School Certificate Exam. you may be asked to write a short-latter quite apart from the Composition p papar - 80 from time të tims I shall ask you to write a short letter, An example, with notes of explanation will appear the following week, ?
This week 1 want you to write a short informa letter to a friend inviting him or her to a barbeque you are organizing during the Chinese New Year Holiday.
味
(b) Exp = ( 3mm do 4 con 16′′)( Sim 60°- Cos do°) Sec 60 in ('tas do 4 Sin idit cos 30°-- Sin 3a) se ti
EXAMPLE 3: In running a race at on unifom spred on
Circular course, a man in each cuinate traverses are of a circh which subtendi aly) endians at
hav cemie of the course. If each lop n 77% ya long does he tolý do run a mile 1 ( take w* tour: The 6** of die circle
16. An arc of 1778. 1 fl. 34, sublends at the cende of a circle an angle of 1.9a; find the radius of the circle in mches
radia of the cirekt.
then the act of the circle =29**
Sincs. He are length
6 be the two positions
of two canister mile finis ABMi
and lut CD– the height of the hitt From t eDACI ACH C# cat do"
brom st
Subhac
AC-ECH CDC cat 30 - Cat 75)
are traversed in each
$2.157.7181.
12
1.0712 Num. 27975 1.91 0.2788
P û be the two positions of
obscrver.
* APB w 70° & ADB=143744!
P.Q 630. MEWRS
APPQ cat PAG
From #F4 APQ:
* 630 K COS (298734"~10)
Exitelia Show that the sum of the spwares of
exferier and inferior
regular polyg
radians
VECE from the above problem, we find,
Cadian measure of angle
Lat. A be the cents of the sphere,
© be the verics of the copc Produce CA to meet the sphere again at P (ishich in the highest pl. of the sphere" And let B be the of the sphere touch unte the conc
Hence, «ABC = wha
AC = EZ CA - 8 cm x 14cm) Shio BCAA La 0.5714 8¢A= $4x2)0.5714 = 14:51
mnical angle = 34°6! ***!
8.cm.)
As shown in fig. 1. A are two billiard bars. Let <APH wo ac” then «BPK = K From the APH. AP All are of in 26 Cât of From if a BPK Rudding =
AP+BP
70 58
APB = 18
cat.or
630.
27973
And
AÓK PO LIL S3224*
Find the value
Iina de noi of radians in las an interROY an entario angle of a regular octagon. 3. An angle at the cenbe of a circle aface
1.5 yards in subtended by an arc of 3EA. in the angle, in degrees ↑ m radions ↑ from that secˆo + sec1( § -6)=(1+ fal#) sec*(«E = 8). A horse is felkeres to a stake by a rope ar ft. long If the horse mores along the circumference of a circle always keeping the rope tight, first havi far, it will have gone when the rape has traced out an angle of 20*1 ( Take #df).
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