CITY
HALL
W
其三第張六第
日二廿月正年申戊腦夏
WAH KIU YAT 'PO
#
8
#
二期路
日十二月二年八六九一年七十五國民在
$#%#%#$#$
ཉཙྪཱཏྟཱཎྜཱནྡ
*#$%$#&%%$#0%$#$%3#$%$#$%$%$#5/%E
3%$#5%S#5%$#$%$#$%$##$%3#B%%$#$%$#
NOTE: If a function gradually increses (o decrenses) till it reaches a certain value 4, which is algab-
raically greater than to less than all neigh
bouring values on both sides, then 4 is called © maximum (~ minimum) value of the function t the point *.
EG. As in the fig. the continuous
curve, ABC "represent the
1968
英文中學會試題預習専欄 英文科(十七)
MRS - BENNETT ·
1968 英文中學會考試題預習専欄
數學科 (十七)
歐陽鎰文
MATHEMATICS (17)
LESSON 17:
graph of y=fear. In which, texs is a max. at A &c. bex is a min. at 8
Exanne 4 Without making a table of values,
rough figures of the graphs of
1
«bə yax2-12-3; «6»Sux» 1875, which of the equations **. ax-3= 6, £^ *x+5=0, has no roots &
a parabola,
and
·
01 2
GRAPHS * SIMPLE APPLICATION
EXAMPLE 1 At 80m. A starts from: P to ride to Qi which 18 50 murs distant. At the same time B seks out fram Q to meet A if A rides at 8 miles an hour, and rests half an hour at the end of every hour, find graphically
SOL:
(a) the time and place of meeting.
(b) the distant between A and B at 11 am.;
at what time they are 14 miles apart
(C)
TRAVEL
Sol: <a> g=t2-1)* is
y=0 at x={
zo fro
<>
Distance (mi)
In
4 = x2-2x+5
= { # − 1 )* 44
= *
= x2- 2 - 3 = (x-1)* which is of the same shape as the graph in
<a>.
but differ by 4
units cm y-axes)
which is again chiffer
by 4 unik, in comparisa
with the graph in car
X ̄~ 2×+ 5 = (1 ×1)*+4=0, the graph
Нексе.
но
of y = x2 - 21 +5 (19. graph () does not cut the x-axis
solution fo this equation
English (17)
Answers to Paper XVI
1. constant: continual, ever-present.
congested: crowded
nutritional: nourishment
very vulnerable (to): frequently to offer ar
opening (to)
uncommonly: unusually
preparation: medicine consultation: visit
2. (a) A medicine produced by Cho
name.
fire under a brand
(b) A doctor who has not been trained in Sestera
medicine.
3. The crowded living conditions and the poor)
nourishment of the food they ate.
A. The children, in particular, were often ill; one, at least, in each family would probably fall sick each month.
5. They charge only a dollar a visit and this includes
the cost of medicine.
6. Merbal tea was used in some families to help
prevent the children falling ill.
7. Chinese' medicine is very expensive and tha
Government clinics were conveniently situated to the families interviewed.
Time Chr. 3
(#4.m.)
their speeds are uniform,
graphs are
<a>
linear
2. Meir travel As found from the graphs.
They meet al 1:40 pm, 30 miles from P.
<b> At 11 am, the
<c> They are
ar 21 miles apart.
14 miles apart at 11:35 am
EXAMPLE 2: Solve graphically 3x* - 2x - 6 m 0
SOL
3x2 - 42 - 6 = 0
Lat gai
1
then
y=f(2x+6)
=
AINTS A
TO EX
then
X = 54
28
K=
23/k
2.4(56)-5(IKI+ 2(380) na S
Hence, 1 sk=&# y = 2k=1:
3, Let x y be the lengths of the sides of the cubes
Then, the ratio of vol Ratio of then surfaces
a.bbc
Reg'd to prove
L. S.
8. When a poor Chinese person gets sick he is often
first given some Chinese herbal tea or some Chinese medicine pills. Occasionally western patent drugs are used. If the illness is more serious he is normally taken to an almost-free Government clinic or,
because of long queues there, to a slightly more expensive welfare agency clinic. If a child is seriously ill he will see a private doctor, which is quicker but more costly. 75 words.
Paper XV11
Fill in the blanks with suitable prepositions.
her. I told him not to lay hand
a rainy day.
Hẹ laid some money aside
When things go wrong he always lays the blame
-
( -4)*➡{13.525 «2-31411 ¿m ac
b. Sh
(a+b)(b+c) = {{ab + St€ )*
= (a+b)€&+7)mm ab+ 40+ b2+$0=0b4bcsak". R.S. = {√ Rb + √63) mabt z dac b+&c= ab+ab+6C.___.
of
is alled
zanal to a, b, c, a
are called the extremes while ↳ und d are collect the means.
a: b = b; t
·
the three quantities
are said to be in continuak proportion.
is said to be the thin proportional
a and b
and
bis called the
mean proportionat between
<
4:00
G
X-2
a
did not wish to lie
him.
5. She has always longed
-6
The students looked
an obligation
a new dress.
him with wonder,
7. During my trip I asked her to look
business.
I reported the theft to the police and they
the matter.
promised to look
Don't bother to look
we're late.
your spectacles...now)
As soon as I have time I snail look the details
SUBPARIES
4x3- 51 +6
# 42 43 44
16
the values of x
B
The roots of the given epastion, 31-21-6=0, are which satisfy the above pair of simultaneous equations. From the graphs as shown. are find
2 = 1.8 or -1.2
I- 2
PUBLIC
V2 = p2 = $1 97* = 5.2*«*
in a reference book.
V=PR=$(3)* = 277+
And
7,
V=$(36)× 46656*
57-6
V+k+ 4 = 4656p]
Support that it's income is #A
* 8
Then, Au kapandibusą iš $(A–C), Bâ+ $(8°C) As givo. - ♣
14. A = 42
And,
4-$
#
Put the verbs into a suitable tenser
(1) I have decided to spend the coming holiday at home. My classmates (to plan) on visiting Macau. Lately Macau (to become) rather crowded and I (to dislike) crowded places, because the air (to be) bad. I (to like) peace and quiet go that I (to rest) myself.
(2) Yesterday 1 (to go) to work by bus. As usual it
(to be) drowded. However, I (to manage) to get a sést. As I (to sit) down I saw an old lady looking at me. She (to give) me a smile. I (to oblige) to get up and give her my seat.
C. Explain the meaning of these idioms ›
1. giving someone a piece of one's mina.
2. in the nick of time
3. to pay through the nose.
4. in cold blood
5. to puddle your own cance
6. through thick and thin
7. to let the cat out of the bag
8. caught red handed
9. to give the lie to
10. to live like cats and dogs.
NOTE: The above problem can also be solveet by.
drawing the graph of y = 3x2 - 21 - 6 intersections of the graph and the
(ie the fine
The 2-axis are the solutions.
EXAMPLE 3. Draw the graph of ym (4+x)(3-X), and
find the maximum value of (342) (3-2). Fink, also, as accurately as possible, the valuas
for which (24x)(3-2) is equal to 2
**
4-x
2
2 3
3
*
•
'ds the max. value of (207)(3-5) 10 6.as dis from the graph, when car2}{3¬K]# 8,
By Grabuh
before him
The own A, B, C missed hepa X mY by the same roud. A watts déa skämaact in ́5 hours. B cycles starting 11⁄2 to after A pnd arriving 1 hr. C motors hawking #h after 5 and arriving 1 h before him
show by a
graph that B and C pass A at the same plací, ¿ Asquać · that their speeds are uniform
and
•
*. A man travels from A to B at the rate of 30 mph 20 min after his start a second man starts from A to B od 30 mph and reaches his dist- ination 2 mis after the first man. Find graph- ically the distance from A to 8.
•Draw the graphs of y=x2 and 54× 6x+4 on the same diagram for values of x from -2 From the grapés, solve in*g*** Also find out roughly from the graphs, by drawing approximati parallel line, for what valice of a the qu, 20mbara with have agual codi 4s Draw, roughly the graphe of the six big-
onoustrical functions from o' to amp"
to +3
D. Correct the following sentences if necessary.
1. walking into the house the dog bit me.
2. Each man and each woman have to do eight nours
work a day,
3. Neither you nor he were right.
4. It did not rain, that was fortunate.
5. The cat caught the mouse and bit off its tail.
6. Please don't make any sound, when you listen
to the radio,
7. He is neither right or wrong.
8. She was one of the best players who was
selected.
ever
9. Hardly had ne arrived than we also arrived, 10. Have you any objection to me going?
D. vombare the following sets of simple sentences Into
• complex sentence,
1. The day was fine, we decided to go to the beach.,
There we met John. He was lying on his back, sunbathing.
7. The sun had set. LOG SKY was a glorious red ana |
orange. In the distance we could see some fisherman. They were returning home after a day's fishing.
3. we found the weather hot. it was trying. Að a
result we could not study. We decided to go for: a swin