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中學會考試題預習專欄
(b) Let the required
equation be x°*px+q = (
product of roots
(iii)
新數學
(#-)
明德出版社魯榮家提供資料
Modern Mathematics (21)
W. K. 1.0
Mill & Dale Prana Ltd
Suggested solutions to Test Seven (con't)
10.
(b)
1a-2a+
(a-1)2
8.1
b.
o2-2(0)+2
¿
(c) From the graph, the
minimum value or
† in 1.
OR
22
y = x*-2*+2
(x-1)+1
The minimum value of
Ans
(x-1)2 is 0, therefore
the minimum value of y is 1.
Ang.
(d) y ==-x+4 should be drawn,
From the graph,
* 2 or 41.
11(a) Since sing and cost
are the roota of the
Ana.
equation 3x ̃=4x+k = th
Therefore,
the products of reąta,
達
sinëcöstf»
'the sum of roots
F
(tane){ tana
= 1
sum or roots
tau
M
*
1 tane
sine COSH COSH wing
sin B+conTM
sin coa
sin@cose
18
-18
The equation
4
+(-1)x+1 =
7x2-18x+7 = 0
12. Since HK = HC, HK//AB
and AC KKC
therefore,
KRE - AB
AB KHK
(1) KC = TTC-MK
HC-AC-AB
*
*x
K(BC-KH) k(HC+HE
APE.
AND.
(ii) KC-HC - (HC=HK) •k(HC+IK)
2
·2] k(|RC]
instalment.
2
the annua
At the end of the firkk year, he owed,
5000(1.03)-x
At the end of the second
year, he, wed
5000 [(1:05)-x](1.03) −x
At the end of 4
the third year, he owed
(5000[(1.03)-x1
500061-0
Since he has to pay
in 3 annual instalmout
.*. 5000(1.03)”~(1,05)"
11.03)x-x 5000(1,05)3
5465.645.0909x
* = 1767.7
Ans: The annual" instalment
14(a) The probability that
the tiger will not `- be wounded
- the probability that
no arrow hits the tiger
(1-3)5
The probability that the tiger is wounded
0 (0,0)
M(3,5)
As shown in the diagram, let the required chord he AB; the mid-point (3,5) be M and 1 be the centre of the circle
2
ON = √(3-0)2+(5-0)2
/34
2
M
#277-34
-243
MB -
贏
/943
9/3
AB- 2
18/3 (31.18) (iv) Slope of OM
J-U
Slope of AB
· 3
SMEAR
The equation of A
go pink he had
(s)
*count (t)———~ toten!
(B) Once when I was (a).
look away and
a three hour bost journey I was sitting in the lounge with my companion, doing (b)
in particular, when I (c).... to notice one of the passengers. (d) some reason she seemed to stand (e)......... from the crowd. She was a. white-haired elderly woman – possibly in her (f).
sixties or early seventies — a sweet face that one just „help noticing it. (0). travelling companion agreed (1)
with (g) (h)_
me that she must have been a very good- looking woman in (k)........... -day her expression was so sweet and smiling.
It was a calm journey and I managed to snatch some sleep. When I woke up my friend informed me that I had (I).
all the excitement. Apparently one of the ship's officers, (m). by two young women (n).
had approached the sweet old lady and asked her if she knew (0).
about a ring that had been lost in the ladies' room. She immediately produced the ring in (p).
from her handbag. Then the officer asked her why she hadn't handed it (g)Lim- mediately. She then explained that she was waiting till the "boat arrived at its. (r) to report it: The officer told her
for not (1)
her find and consequently causing the two young women's worry.
(3).
3.3 20 high question an
*
3x+5y-340)
16. Let the number of terms
required he me
incomplete
given, with four items underneather Cand D When all items are inserted right order, they will complete the tence. For each question, choose the correct order and write the letters in their proper sequence.
The first term of the GP, PLO
a iti
The common ratio of the
of the G.P.
I must have a meeting with Jack Cater
on the 9th. Can you.......
A. up
B. fix
C for
.me?
engine trouble after twelv and had
the race.
of
$21.53
C. out
64 [1-(1)"] > 63,99
D. drop
64404(5)” > 63.99
that they've been complain-
ing about their salaries.
A. it's
B. so
C. surprising
-0.01
_file(&)n 0.01 logutsalog(2) { log©,01 (1,8062)+n(=0,6021) < −2 -0.6021 < -3.8062 0,60216, > 5, H062
my 6.32
1980.
中學會考试题
路提供資料
ENGLI
T.C. Rébéiro (Foundation Press)
Further Practice in Reading Comprehension and Word Order
1. For each blank space, think of ONE word which makes sense in the passage. Write your answers in the blanks (AFTony Malavra young mining (a) fun early twenter who wampprent liced" (b) Gendancarpenter. Hexanca good, worker, honest, and, rellable "and" (c).
boss was pleased (d)
hil
was such a likable and eary toine
fellow he was popular
!-(-))
5
2101
*ADP
*(1)
(b) The probability-of
Retting nó man
throwing 3 dice
• winW.CORN
5.1
sing, coat *
(2)
145
From (2).
216
145
The required, probability
hima (g)
deal but he
TO
crom (h)
then and
laugh.
But Tony's one greit
(D-
lie tould fever
aincoat -
(3)
1N
From (1) and (3),
216- 15(1) The centre of the
circle x+y - 177 1* (0,0)
0.
not, (D).
#
2
win">cok &=2×ïn@cond
1+2min@com
A
ADR
workmates too. They
411) The radius of the
circle de
1077 * 16,04 Aug.
how hardaho (k)
a mile white. fact, he was (n).c
and shy that he would Bluth eve ho was telling the (0)___________ Hel stand in (p)of the mirror sub practise lying while looking binisit.
the eye at the (r), But as soon as he saw his face sliting
D. not
4. It would be difficult to move it. it where it is.
A. leave B. perhaps C. better
D. we'd
The demonstration began peacefully, but later fighting.
A started
B. crowds
among tho
6. The salesman said it was gold,
for a moment.
A. 1
B. deceived
C. but
D. wasn't
7. The party's a bit quiet at the moment, exciting later.
A. more
B. get
C. it'll
D. but
8. I want to
Avat 9. what's Cser
D.
on
the Odeon.
The cartoon, is really funny, and
-AM well
B. too"
e's never really
¿xorciso are as
(OWE? --
(e) frun
(g) like
(b) not
(5) bunch Q-from- (0) ships (r) high
(j)-time ~~(k)--are----
(m) in
(n) were
(p) other
(4) sight
(s) why
(f) trees
(B) (a) her
(b) apple
(c) nothing
(d)
in
(e) him
(0) read
(g) too
(h) few
(1) all
least
(k) conductor
(b) on
(m) as
(n) In
(0) to
(r) them
2.. (1) DCBA
(p) about (q) My (s) only (1) ever
Note that get out of control' means 'be in a state where control has been lost'. 'Control can be used in the following sentences. Notice the various verbs and prepositions in Italles,
a}
The teacher has go control over her pupils..
b) He easily gained/gor control over
the horse.
e) The driver lost control of his car. d) The fire was out of control. e) The fire was soon under control.
(2) BADC.
Note that had the advantage" "were in a better position. When ‘advantage' is used with gain', 'give' and 'get' etc.. it is often followed by 'over'. e.g. ·
a) They gain advantage over their
enemy.
b) She gets an advantage over her
sister.
His education gives him advantage over those who uneducated.
(3) BCAD
Note that 'being cooped up' mexi "being confined to", e.g.
We were cooped up in the house the rain.
(4) A DC B
Note that would like' means 'want and it is a more polite form of ex pression.g. um am
would like to have a cup of coffee.
(S) CDBA
Note that "onto' is a preposition which is similar to 'on' în meaning. e.g. He walked out onto the balcony.
(6) DACB
Note that 'refrain from' means "abstain from'. eg.
He cannot refrain (or abstain) from drinking.
(7) CADB-
Note that on expiry means when it has expired'. eg.
The time on probation has expired.
(8) BCAD
Note that 'should this account have, been paid within the last 10 days' Isl an adverb clause of condition and this is an inverted construction of If the account should have been paid within the last 10 days. Notice that in the inverted construction 'should replaces
f.e.g.
a) If I were a rich man, I would give
you a hand.
Were I a rich man, I would give you a hand.
b) If she had known the answer, she
would have told your
Had she known the answer, "sho would have told you. -
c) If you should fall, you should
blame yourself.
Should you fail, you should blame yourself.
(9) CÚBANG CE
Note that pleasure is also used in following sentences. Pay special atten- tion to the verb and prepositionsit takes.
a) It gives us much pleasure to hear
of your success.
b) The senior students take great pleasure in teasing the junior students.
c) X: Would you like to join us?5?
Y: Thank you, with pleasure.
(10)A DCB
Note that some students often make s mistake when they use this pattern. Very often they put down hero has instead of 'there is for singular and there have instead of 'there are for plural. Wo say:-
T
a) There is a boy in the classroom.
AND NOT There has a boy in the classroom, b) There are forty pupils in the classi
room.
AND NOT
There have forty pupils in the classroom.
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