育教僑華 頁三第張七第日九廿月正年午戊歷夏|
WAH KIU YAT PO
報日僑華
二期星
日七月三年八七九一屦公年七十六國民中
.制訂來年政策
學聯廿屆年會
有消
樂剪(中大學生會) 工學生音)。副會長: 會長:馬逢國(理,要深入的探时,以提高 專棠精神。牂情如下: (D) MA¤··
|敎師對小學數學教學作 「獨立性的專題座,供 學」研習班,分成八次 |特舉辦「今日的數學教 |脊專業人員協會教研部 「要了解的問題。香 「些都是學急切需 「脊之新趨勢是甚麼?這
飛前進展!今日數學教 有甚麽轉變?現代科技 | 消後,小學數學學會
【港〕升中就取
級的學習及教摹]鋼 诼學院導師)。 港:伯坐入宮洪致
·遇新羅馬逢國任主席
十一璐職員。
:(神琳)香港導上 大學舉行,並選舉第二
大會,於去月十六、十 學生都會第二十肜周年 做大在香港大學及中文
寄件。
如下......
起一張燕榮,王此縣,林燕州與像長蘇惟。 爝台美中頒發英国銀行紀念塽牌稀各優勝者(左 出爲美國銀行開總熱河個(右)在大學 第十一届職員名單生會〕。福利幹事·省 丼制手郡 來年各方面政 [大學生會)、交 正式開始,由第二十屆常務秘事:柴 。大會經過詳細討論, 社會事務幹事黃玉浬 | 藥事會作全年工作藻传 明華《葛鈾學生會》。
事務會長:梁建「 大會在十八日下┬ 蔣:郭家珏《中大學生
·改成(浸會繁生會)。
(璠工學生會)。國際 幹事:月媚(會學
|涨大學生會)、業務
換(教育司著數學 項選擇題?]。購者: :「如何擬定敬學科多 組督學)。
(二)三月十二
關」。關者:
「如何打破應用題的
致育司爭學鱺學
TOBELÉM
[棠「敎育複數學科棆
一視躁?」。跳者:張錫
「怎槨進行一堂數學可
(四】四月二日:
#) -
;:「計量單位的敎學」
F及LIWI Mi
」。講者 ·堅(柏立
.犹詢及報名。一鞅)
一班有興焠者,熱向該會.
學院院長)對上述研習
一統計點?」。譯者郭 龚(任葛量洪致育
「怎樣裝幾何微形及 一八九四月三十日
sec;
育教僑華
tan'
Hill' Dale, Press
1978
「中學會考試題預習專欄
數學
二十三女長波
Mathematics 23
Solution to exercise 10
Section A.
1. Solution;
Since (m-1)x+2(m+1)x−1=0
have two unequai real:roota
[2(m+1)]2−4(m-1)(-1)>0
m+2m+1+m~120.
M+320.
·m (x + 3 ) > 0 ___
Solution:
a b8+b
a+b 1
+2ab+bmwb
ba
Solution:
24
equal to
24
20
Sinre respectively
168 210 120
35-35
The H.C.F. of the
numerators 6-
The .C.F. of the
:denominators:-35.
The H.C.F. of the fractions
G.
The greatest length that
these pieces can have
is
35cm
and there are
168 210 120,
35+35:55)÷(3g) pieces
i.e. 83 pieces
Solution:
Volume of water in the hemispherical bowl
(3)'eu.em.
.Depth of water in the
évlindrical glass
(4)
The article costs $536 vhen the length is 8em.
10,Solution:
3b 20
·3h+2c 2c+a a+3b
a+3b+2c
(3b+2c)+(2c+a)+(a+b)
a+3b+2c-
"Za+6b+4c
a-3b
**(36+2e)-(20+8)
4-3b
3b-a
or
5. Solution;
/
(1-tanx)+(1+tanx).
(1-cotx)+(1+dote):
2
1-2tanx+
anx+tan x+1+2tanz+tan2x
1-2cotx+cat*x+1+2cotx+cot*x
2
2+2tan x
2+2cot x
A
·70.cm.
Solution:
In ADP
cotZAPD-18-1
LAPD=29°31
In ABCP
cot / BPC=0=0.8
ZBPC-51021
4 DPC-51 21-290
Solution:
-22 18
Let E and F be the centres
of the circular arce. Join CE aud CE. Since E and F lie on AB.
bisector to each.
A and CD are the
other.
Let rom be the radius of
CG=2cm; EG={5−r}e CE+rcm
AB CD
r2=4+25-10x+r2.
r2 = 22+(5-x)2
10r 29
r=2.9
The radius of each arc is 2.9cm.
Solution:
ZTA0-115"-35"=80° ZABC-ZTAB=80® 2090-1800.
=1000
» ZBP0=115
15
Section B
9. Solution:
319
Let SC be the cost of the article and lem be the length of the
are constants)
25=k ̧ +k2 (1)3
51wkg +kg (3)3 K; +27kg-51- (2)-(1) 26kg=26
ky=1 Suust, ky=1-into (1)
k=24.
C-24+13 when l =8cm
©C=24+(R)3
B
536
:
Join & Date Frest
-(2)
新數學
廿三
魯榮家
MODERN MATHEMATICS (23)
Tant Nina
Answer ALL questions in
Section A and any SIX in
Section B. Show your working
clearly.
SECTION AD (40%)
1. As shown in figure 1, twe circles of radii a and bare
touching each other, at A. IF PQ is the common tangent of the circles, express the leagu th of PQ in terms of a and b,
1
Figure 1.
If the perimeter. of
square ABCD is equal to the perimeter of an equilateral triangle KYZ. Find the ratio of their areas.
3. Find the range of k if the
equation
2kx +
has no real roots. 4. Sketah the graph
(2x - 4)2 + 4 (3 − y)2
5. Pind the scalars
such that
+ nc
where
-
.
21 + 33 J1 53
and
6 Find the equation of thes circle passing through the origin with radius 5 units and centre lying on the line yxky
7. Given that
(n+1)==
find the value of
20.21
8. Solwather equation
5c0820 Jain coro for 09 < 360°.
SECTION # (60%)
9.(a) A statement F(k) in-
volves a number k such that k = 2n, a bedng a natural number. P(k) is found to be true when n 1,2,3,....999 and is also true when
n = 999 + 1 = 1000 Which
one of the following state-
* mentis in correct?
A. P(k) may be false for some
even number`k
B. P(k) is true for every
natural number k
C. P(k) is true for avery
evan. number k
D. P(k) is true for every odd
number k
:
盛坤副校長,新田總領事,簡露冰玉盤縮長。 日本國際交流基金會贈書中文大學,圖左起
部敎協人專教香
辦研會員業育港
:
習研學教學數日今
E.P(k) must be true fon
2002,
**
+
(b) Prove by mathematical
indnation : sm
7 is divisible by 12 for all positive odd integers n.
10. Figure 2 ahows a solid
formed by a cube and a right pyamid. If the length of. each edge in 10 cm, find (i) the volume of the solid (ii) the angle between planes.
VAB and ABCD. (iii) the length
Ngure 2
11. In figure 3, ABC is an
isosceles triangle with AB-AC
If Hi & point on AC auch
̇that HK: HCHg HK / AB and
KHC
AC
(1) express KC and BC in termi
of It and HK
(11) Hence, or otherwise,
prove that KC BC
Figure 3.
12. The equation
4) + k(3x + y)
represents a family of straight lines passing through a fixed point P.
(1) Find the coordinates of P (11) For what value of k doen
the line in the family cut the x-axis with intercept. 8. (iii) For what value of k i灘 the line in the family per- pendicular to x + y = 2. 13.(8) A man homowed $4000
to be paid back in three «qua) annual instalments, the firsti instalment being paid at the end of one uear and compound interest being calculated at
警
3% pa, How much did he repay each year?
(b) A man inveata $1000 at
野田總領事代表
资
大學生會),陳微忠( 针共五千九册約值港幣四千餘元,按日本國際交 委任代表:雞敬崇(中
再贈圖書中文大學 艾行捐赠一批書籍與中文大學儷書舘,此次晒甜途錦(港大學生會)。 十一日苒從驺體蠆料與香袍大學圖書館之後,今。代表會副主席: (特瓤) 日本國際交谙基金會撷本年一月三嚭學生會」。代表會主 日本交流基金會 財精神與機率 椒:陳舘(大學生會
|大遊幹事:馮偉(洛 (理工學生會)。學生
·徐明(理工學生會 大學生會)。出版幹事
·客脊幹事·田國强(
·推繫緒約爲二千五百册 51 基金霄雕麥與中文大學此次爲第三次,前後共
|坤副校長及簡獾冰劃書類長代表接收。 代表日本國際交茲金會·中文大學方面由郴
·史俄式,由日本駐港野田售張事及大丸文化領事 昨中午,假沙田中文大學通溢流行高臘
「
永成汽茍的學生會等
(現工學生會),黃偉 濃會學生會),空薪民
文(中大學生會)及陳
the beginning of each year in a bank which pays p.a. Find the total amount returne
ed at the end of seven years.
14, (a) How many numbers between 2000 and 5000 are divisible by i ?
(b) If the sum of first in teran
of a series is
s(n) n(n+3)
find the first term, the seventh term and the pth tern,
15. (8)
A
hunter
shoots
5
年
育
Carrewa to a tiger, each has
the
1/5 hitting What is the pro-
babilit ty that the tiger will
ounded.
be
Ten coins are tossed, what is the probability that exactly 4 heads are obtained,
(c) Three dice are throważ what is the probability of. getting at least one '6'. 16. (a) If the foots of the
equation 2 + Kx + 24
are p and p value of k.
2, find the
(h) Prove that if the difference between the roots
of the s
equation
ax*
+ bx + c
4ac
2, then h
『學能推理練習專欄
智慧社主編
文字推理 (五)
文字推理練習五
關係的類比(一)..
【例一】空中的癮气正品海襄對A水袋B遊 魚C輪船D波浪:E永德 黼解:∵飛鳥在空中飛,游魚在海襄游,是力
物活動範圍的麵珫、答案應選B 【例二】時間作分秒正如重量(A安士 B
克C擔,D斥道,它噸 驅解;分和秒是兩個不同的時間單位,所以
位,但不是最遇當的答案,而代和两 刚是再能不同的重量單位,才是最漉
應遇D
【例三】悲我我哭熥说心快骧纱(A嘁淼BY
開C D散步E呻吟) 翻解:因悲哀而据证,因快事而欺笼,是博
栅烧鸡的類比芬紧應選C.,
下列各题是一個句子,試選出最適當的答案, 以完成跳句;她在它的下面擔一橫線。
C# D#7, ERN)..
日風蘑
B布疋
C毛衣:D棉袍E綿冰
歌手:
B表啡
C家慈D二弟 E家嚴!
C鋼琴 D欣賞
C#
Q和安
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8.因為對所以正如除海外P否則Q何況
S仍然 T吒.
9捐血病人正如捐款對(P市民 Q人民
R村民S鄉民,T災民)
10.水喉外水正如電線好(P閃電 好電燦 精光
線S電 T安装了
11. 坐期對週末点和年村(A元旦B節日 C片
份D歲月 除夕...
12旭留對少年只加夕陽州(A壯年 B老年
D童年E成年了 13.蓮花时野手 正和有抢外(A陽居
D恹天 E谀我
时常熄抖作能点大器蚪(A册子
C農人 D碗碟'E的筷子
15,清明猖猿认知衱A附料
COM DTH E晚上
1 C
20
3 E
4A
5 C
7 R
p
ID S
12 B
JC
14 A
15 D
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