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1973英文中學會考試題預習專欄
英文科 (十三)
English (23)
The last section' in this series. If articles cover the usage of English or, in actual fact, the words that compose the English language and how they A should be used..
It
It seems that there is little point in giving any definitions of the Parts of Speech. Firstly, because all of you have an English Grammar book somewhere in your bookshelves, collecting dust. is almost impossible to give a definition which is exact, compre- hensive and accepted by every Grammarian. Secondly, it is hardly necessary since the emphasis in modern English con- centrates more on usage than its rules; in other words, it is more important to know how these words behave and are used.
Preposition plays a large part in the structure of English. From experience, I realize it is the cause of many difficulties especially to Chinese students who are leaming English as a second language. Little guidance can be given in any grammar book as to which preposition is the right one to use for there is no logical reason why one is right in
wrong in certain context and yet another. A good dictionary may help but the best way to lear prepositions is by reading a wide selection of English books and practising it.
Prepositions are words used with nouns or noun equivalents to show the relation in which these nouns stand to some other words in the sentence. It may be a single word (simple prepositions) or two or more words (compound preposit- ions) or participial prepositions. Originally, they denote time place or direction. Prepositions to signify time & time relations. AT:- is used before words meaning
a certain moment.
e.g. At Christmas,
At New Year,
At noon, at dawn, at dusk, At night, at sunrise,
At sunset, at midnight,
At midday,
At one o'clock, at half
past twelve.
ON:- is used before the day of the
week or date.
e.g. On Tuesday, on Monday
night, on the first of March, on Christmas Eve, On New Year Eve.
BY: Usually 'at, by and on
indicate point of time. e.g. By Friday, by next June,
by morning, by midnight, by the end of Spring.
IN:- is used before words meaning
a period of time,
e.g. In 1973, in Junë, in the
morning, in the night,
In spring, in summer, In broad daylight, In mid-winter.
Care should be taken when using the following as NO prepositions are necessary when an adjective qualifies the Noun of time.
Every day, every week, Last night, last year, To-morrow night, to-morrow morning, Yesterday afternoon,
Yesterday morning, To-day, to-night, Each day, each week, each month, each year.
SINCE:-
e.g. Since 1973, since this
morning, since the end of June, since yesterday, since Monday.
WAH KIU YAT PO
郭日橋單
一期星
日二月四年三七九
得公車二十六里民章中,有教僈章
TOWARDS:
e.g. Towards noon, towards
night-fall, towards morning.
- 3 [102+1
9n
10
1973英文中學會考試題預習專欄:
IN AX WMEM
數學科
(廿三)
Throughout the whole week.
THROUGHOUT:-
g. Throughout 1972
Throughout summer
This group indicates a period of time.
FOR:-
e.
:DURING :-
For a whole week For hours
e.g. During the day, during
the night, during the war, during the holidays.
These prepositions indicate duration of time.
Tation of the preposit- a sentence varies. Usually, ion in it goes before the noun or noun“. equivalent which it governs. e.g.
Our team is playing at the government stadium.
But when the word governed by the preposition is an interro- gative which goes at the beginning: of a sentence, the preposition is usually at the end of the sentence e.g
Whom did you write to?
What are you talking about? Which room are you in ? Everything I said was Laughed
at.
He is a man whose word we all relied on.
Put in a suitable Preposition in the space.
1. Morning school begins twenty past eight.
2. Christmas Day is
December.
The birds begin to sing sunrise.
Fruits and vegetables are good.
health.
filled then myself.
6. He died
drinks
malaria.
a painful
7. You should pay more attention
the lesson.
I suffered. wound.
9. Are you interested
science?
10. 1588 is the year
Armada.
13.
the
a. rage.
He went away
these reasons I gave
up.
succeed.
this method you will
our astonishment he was not hurt. 15. The car was not
control.
MATHEMATICS (23)
Solution to exercise 22
(1) The condition that the roots
are equal is the discriminant. equals zero.
[2 (1+2)]
4(1)(9m)
4(m+ 2)2 36m
4m- 16m+16 36m
20m+16
5m
or 4
(1) λ2 + B2 = (d+B)2 - 2α B
29
(11) 13 + B3 = (α+B) (d2+B+B2).
43
(X+B)(Q2-XB+B2)
= (α+B)(α2 + B2-dB).
81
Inequalities.
A quantity a is said to be
greater than another quantity bif (a-b) is positive.
We have two kinds of in- equalities:
Consider x + 2x + 1 = 0.
This is true for all values of x because
+2x+1: (x+1) which is
It is called an non-negative. alsolute inequality.
· 4x + 3 > 0 is true for some value of x only and it is called a conditional inequality
The followings are some elementary laws:
Let a, b, c be real numbers.
then a + O (1) If ab,
If
BIO V
(2).
ab and > 0,
theni
ma >mband
a
m
(3) If
and <0, then
(4) If a (5) If
b and
(6) If a
b and c b4d.
band e
then a
then
then
C
(7) If a
then ac bd.
(8) If
> bo,
then
29 - q)
(9) If
fa
and
P(p
39)
where his
(iii) (X-B)
(d+ß)?
4dB
49.
(10) IF
and
20 Ja
4q
where - is the absolute value of d
If
(3) 1x + mx
B = -1
d
2n+1
then a
211+1
2n
positive integer 21 >o, then a
where n is a positive integer.
abo, then a
and 1a >b
where n is a positive integer.
(1)
The required equation is
Theorem
The arithmetic mean of any number of positive quantities not less than their geometric mean.
Examples
(1) Prove that (++++) (~73) >9
where a, b, c, x, y, z are
positive and distinct.
Proof: (++)/
금(즐 + 곰 + 등)> 슬공릉 (2)
( 1 ) x (2) ¦ (= + + + − ) ( ~ + £ + Z ) > 1
・・・ (梟+믑+음) (즘 곰) 793
(2) Solve x-
Solution: Put.
1)(x − 2)(x -
his
you.
X
the
16. I do not agree
7. The breeze blew
window. 18. He was punished
stealing. 19.
our way home it rained 20% The bus charged
speed.
EX. P
211
2nl
·full
(m
2n1
(4) The n term
th
5 x 10^-1
10
1.0
Then
= 5 [104-1
Complete the following by adding Prepositions.
a that time onwards, it
b her that nothing
appeared could be done
the matter.
d some months she had been hope f bringing about a re- conciliation:
Israel and Parkistan, but when she read the statement. h the newspaper complaining i... her interferr-
the matter that did n not concern her, it seemed useless to continue.
ence.
Answers-
EX. P
1
1. at.
11. in:
2. in
12. for
13. by
3. at
4. for
5. with
6. of
7. to/during 8. from
9. in
10. of
EX. P2
8. From
a. about
e. with
g. between 1. of
14. to
15. under
16. with
17. through 18. for
19. on 20. at
b. to
d. for
f. of
h.in
j. in
1.0 1] 2(107)
The (n-1)th term
The (n-2)th term
The 2nd term
3(102 - 1)
(10-11).
(10-2 - 1)
(1021)
(10-1)
The 1st term =
5+55 555 +
(10+102
55...5
1.02
n]
+1.01
!)-n]
3 [10(1+10+102 +...+
3(106100-12 - n]
3 [10 (n-1) - n]
5201
100+1
1 < x <2
2<x<3 x3
+..
47x
(x-2)
(x-3).
(x − 1)(x − 2)(x− 3)
or
Ans:
1< x < 2.
or x >3
6>
11x