25 )岸 育教 日三廿月十年未辛
1992 中學會考預習專欄
明德出版社.
MILL & DALE PRESS
報日僑等
2. Let be the inclination of the line x - 3y+ 4.0..
tane =
The slope of the required line is m = tàn29
2tahg
tang
四期星 日八廿月一十(一九九一)年十八國民華中
(m - 2)* + (3m 1) + (2m-3)2
+1
(14) m2 22m. + (14
When k 14, mis real.
222 - 4(14 - k)2 0
34k 24
k = 3. is the minimum.
k) = 0.
(143)m 22m + (1) - 3) = 0
m2 - 2m + 1 = 0
化文 英羣 日
(Arisa)
"Additional Mathematics (8)
Revision Exercise 8 Coordinate Geometry 1 - Straight Tine.. Section A
The required line is:
3x4y-10=0
(Ans.)
W.S.SO|
3.
Since the y-intercepts of Ly:'x are. 1. 1. respectively.
1.
1. Given a straight line passes through the origin the angle. between thys line and the line y = x + b is d. 'f tang = m, find the equation of this line.
2. The inclination of a line, which passing through the point (2,1) is twice that of the line x - 3y4 4=0. Find the equation of the line.
A line L passes through a point (2, 4), it also cuts the lines: x y + 1 = 0, x - y -10 at points A, B respectively. If the mid-point of the line joining A and B. 3ies on the line x+2y-3=0.4. Find the equation of line L.
4. Given two lines: Lq: x + 2y + 2 = 0, Lqi xù y + 20. Find the equation of ine ug which passing through the point (11) and the area of triangle bounded by L, 2 and 3 is the minimum.
5. Find the value of m, if the sum of square of distances from the
points A(1,2), B(3,17, C(23) to the line y = mx.
6. Find the equation of a straight line which passes through the intersection of the Tines x + 3y - 10 = 0 aid .3x y0 and the distance from the origin is 1.
7. Calculate the distance between the two lines 4x + 3y + 15 = 0. and
12x + 9y +1=
Section B
8. Given two lines, L1: x + 2y + 2 = 0, L2:
points: Af1,0} and B{3, 0}.
(a) The Tine x = my intersects. 1.
and
The mid-point of AB is also des on the line y = x. Sub, yx into x+2y-3=0 3x = 3
The required line is Y-1
3xy 2-0.
x = 1,y = 1
1. 2.-
(Ans.)
Lety -1 = k(x-1) be the equation of line
Let x + 2y + 2 = 0 L2 x - y + z 0
(1) - (2)
•*. A = (-2, 0) From Lg Lg.
·(1) (2)
y = 0.
3y=0
is the intersection of Lyx 12.
We obtain the y-coordinate of point a, intersection of Li, ts
料
From La Lai
we: obtain the y-cordinate of. point.c, intersection of L..
4 5 0 and two
by cuts the x-axis at point D(k 1, 0);
at P, Q respectively,
find the coordinates of p and 0 in terms of m. (b) Find the equation of 31nes AP and BQ.
(c) AP intersects' BQ at n. find the locus of R.
Area of AABC = S
-= 0
6. The equation of line passing through the intersection of
x_+:3y_- 10 = 0 and 3x - y=0 is
(x+3y10) + k(3x- y) = 0
(3x+1)x + (3k)y 10.0
The distance from: (0, 0) to (1) is 1.
| (3k + 1)(0) + (3 - k)(0)
√(3k + 1)2 + (3) R) 2
100 9k+ 6k + 1 + 96k + k2.
100k 90
k13.
Put k3 in (1)
10x - 10 = 0 X-1= 0
Put k = -3 in (1)
~Bx + by * 10 = 0 4x-3y+5=0
(Ans.)
(Anse)
7. Consider 4x + 3y+15=0
When x = 0, y5
12(0) + 9(-5).
$122492
(Ans.)
4 units
8. (a) Sub. x my in x + 2y + 2 =
my + 2y + 2 = 0
{Ans.}
Sub x myin.
(1)
Salution:
1. Let y = mqx be the equation of the line
那么
勿
tang =
= m
+
(3k - 1)2
(2k + 1)(k − 1)
(3k -.1)2
45m
Q =
Let 5
S
- (2k + 1}k="T) 251)k
- 6)k + {S!
13.0
(b) AP: (3m + 2) = 2(x-3)
BQ: (8m - 3)y,
(Aris)
(5! 6)2 4(925) (S+1) 20
40) 3
is the pum
wenk
y ·60 (Ans.)
The distances from points A, B, C to yin my are
圖
{c) From:(1)
3mg
·M. =
From (2)
8my = 5x + 3y
5x + 3y
15
y
∙1) ·
5x + 3y - 15
13m-.-1.-1.
=
(3m - 31.
By
州的出現為必然趨外。 立法局股近出現派別之,
.的政策,俺有利而李害。. 法逃離的情况下,政治團經或致一齊學習、 沒有政黨 - 唯在政制民主化及主 和議員一 ∶.雖然香港的非獨立國家,並 應讓市民 拆找真理,制定有利安定,繁榮 刺民主化 成長。
的海程,
北龍山寺之氣派煇煌,但設計却別具匠心,香火鼎盛。」 傅當年所請賜的御匾,字蒼勁-鍾具神。全寺外貌,雖不及台 古廟,乖入寺內,只見上面懸有「慈吭蒈溅j四個大字- 那是劉銘
冇,淨識得開槍,於是乎,個個跑去做殺職保鏢,抑運私。
·公安及邊防軍協議,准許他們兼職外快,公安及进防乜技能都 .時邊個開槍?但是离家窮到盤,想學香港猛加人工亦不能,唯有同, 行揸的士或爽南乳肉花生。冇晒公安點逃,它日有蒸庶六四、七五
·知道大陸公安收入低散,遠遠不及個體戶,所以不少公安、邊防轉 當然不是,以份雨這靠估家所推斷,他只是有口難言而已。雙 * 倫雨
設爾完善,沙攤平坦而遮點,是夏日霁潮的理想地點。 .在淡水河口北岸,那裏有一個沙崙海水浴場,三面沙崙抱著
——「台灣環島遊」之一
2m
The equations of the line:
1992 中學會考預習專欄
Recent.
明德出版社
MILL & DALE PRESS
Commerce (8),
Development
Communications Services
1. Courier Services 1.1Role of courier firms.
S.K. LAI
: The courier firis collect urgent and confidential packages, or documents from the client's office or home, arrange for them to be delivered to the country or place of destination and deliver them promptly to the recipient's office or home.
1.2Reasons
for
the rising popularity of private courier services in Hong Kong
The suggested reasons are::
a. They are operating round the clock to meet the demand for deliveries of urgent packages and documents locally abroad.
b. Although, the services are more castly than speedpost, are more reliable,
they.
quicker and safer.
They could. step in to maintain a vital mail link: between Hong Kong and Y major overseas countries, where a strike had crippled the postal network..
They, with a network of private delivery drivers, af branches in most major cities in the world, could maintain
high service standards in any
or
3ELamiles
They cold
collect urgent and confidential documents packages - from the client's office
This: or home. facilitates the convenience of the sender.
of
courier services
anies Back Air Courier Services and friternational Ltd. are some the examples.
2.Façaomite Transmission
2.1The embar of installed faxes.
has en from just 2,000 in 1985 to more than 50,000 in 1990. Theres at least one fax machine for every 120 people in Hồng Kong.
What explains this presented growth in fax sales?
The reasons are described
follows: ..
a. It is the willingness of the
Hong Kong: population to adapt. to new technology.
In demographic terms, Hong Kong has a high percentage of very young people.
b. Hong kong Telephone's Faxline 100 service contributes to the growth of fax sales.. Faxline 100 offers a Ilong Kong Telefax nirectory, connection to telephone network equipment specially suited to fax transmission, and provides a variety of advanced fax services..
c. A facsimile machine is an
·incredibly useful tool Communication.
A fax requires no special
training to operate it。
It
can
transmit
商廠名知家多台
資投陸大赴定决
Chinese
of
m
√m2
characters, graphics or even. photographs with as much ease as English text and, as á result, offers a simple way to communicate complex ideas over a telephone line.
d. A fax is fast, cost-effective
and: very reliable.
e. It is a direct result of the remarkable improvementsid performance that have been achieved by a revolution in
micro-electronics: the
industry.
f. Finally, these features have combined with dramatic reductions. in size and price to make fax Hong Kong's leading communications tool.
facsimile
2.2Advantages.
transmission.
of
Cages aras
facstil, th
Feed dradenissid, can send an A4-size document in not more than one minute.
b. a fax requires no special.
training to operate it.
c. it offers a simple way, to transmit pictures, maps, and drawings over a telephone
line.
d.compared
with messenger services, speedpost etc.it. is fast, cost-effective and very reliable.
e. wherever and whenever there telephone and a receiver..
facsimile transmission can be to any place.
f. the sender can retain the
original document.
of the
made possib copy:
received.
a 24-hour
Locus: of R: x + 25y + 29 = 0 andy0.
an exact nai is
service of transmission Is made possible. with the aid of automatic and. unattended, transceivers.
3. Mobile Telephone
3.1 The general features of mobile
telephone
The general features of mobile. phones include
a. They are vermicompact, light-
weight and portable.
b. They are very costly, both to
am to use.
c. They provide a business tool kita 24-hour personal hot-
They users can be called up at any time and in any place.
3.2leasons for the popularity of.
the mobile telephone
The popularity is due to the following reasons:
a. They allow the work-aholics'
be to
in instant.
with communication
- their businesses.
b. They facilitate brokers and financial investors to have quick links to the financial:
·markets.
c. When the users go out, they
have still kept in touch.
d. Since they are very Jight- weight and portable, they facilitate the user to carry around.
they
e. To Some extent,
represent the status symbol.
copy
9. the accurate transmission. is
VI. Self-assessment question
五步改行革
年日將舖的不
天時八
一的改革」
收了人們的關注。 ·2年完成二、三年的內的「
機,進行調整,引起所有物, 國家髗改委規試,人們已深
所勞動時間的改 作
2厚、樸實的中國人是從 受。八小時之外的業餘 營上就實在,封”。 方興未艾。據台灣報紙日前報 長期形成封閉慣倒未改
前提下,該更多的時間開放,人們頭腦中商品出。 工的業餘生活。出的「時間就是金錢」國現行的八小時工作時稅、出口前、工大 唱 焍職工自己,以豐富職 意減漸濃-深圳率先提 這位官段指出・中跡;固定資產、實現利 ▲一年之中職工的暑假 考慮如何渡假,過篩之不深刻。随著商品經濟戰工放暑假;第三 G [五日工作-亞適當安排 會主義」,也從沒有人面對時間對富的認澈轲事:每年給完成任務的 改爲六小時工作制,運命化春節」,革命加拼在人們通常已經承認了 大步,第一步:試行每 行的每天八小時工作制中,工人們年年過「站 這位官員認為,現勞動時間改革已邁出三 其實,勤勞、忠的口號已逐步被人們腰間之内,有相當一部份入、体假時間皆翻了一
步將每週六日工作改爲命,「甩開膀子大幹社 資源財富、才力財富, 日六小時工作制;第二 此菜,就是逐步將大陸現‘即使在「文革」的現實選像] 南京市機床廠實行 八十年代大陸改革 會生活中的作用日益突 此項改革臥點推行 的發展,時間財宮在| 步:每週五天工作制。
【整勞動疴間是深化改革的道理。 五年,該廠出現了商
圖表示,該公司將與桂林和海 福大企業味全公司總經理南 麻批准即往大陸投資。台灣食
台决道,味全、統一、普生等知名 子就緒,一俟台灣有山凿;
台灣廠商赴大陸投資廠
天津方面計劃分三個階段進行產業分工,包括對穩定,造成人才的支出與收入不符。 【均需要的 A、B、C型肝炎試劑。公司未來與泰的嚴格控制;其六,入才的技術職稱沒有相 設姦事已談到相諭帝份,不久將付諸實施。 否流動- 要越主管謝門領導的好惡;其二,人 企業裨载高背雄說,該公司與大陸方面就投資 使用坐、撂業權集中在主管都門手中。人才能 、生產钗具社潸效益的肝炎就.. 代表們還毘爲,尤其是近年太揖] 對企
七成,六成五和五成五。統] ‘其一,人才部門所有,即人才的管理、 等地投資設立皆為總、飼料級 逐漸改變,初步形成了人才市場,但是,由於 元。另一大型食品企業統一 這些长期在人事管理部門工作的與醤代表
投資三百多萬美元和五百萬美 蚴面臨的六大礙。 機器及生產技術,在兩地分别事管理代表紛紛拍出:要消除目前大陸人才流 南島味精合作,由味全提供 交流會」上,來自四十五個城市的一百多名人
廠投 、松山榮酒糰、上海、北蘇面務,是一九九三年來,中國人才對翳的獻處
壁、以及生化科技成果相互交 線上,超人的海娜拉兒
字極大不便。
二|市和經濟特區尤爲突出,日前從北南下的科技 仍然在系單位的所在地,紅給他們的生活帶來 人員中,百分之七十爲單身,相當部份的戶口
最近在廣州舉行的「第三屆全國腻市人才
仍然舉步維艱
大陸人才流動
·利待遇、戶口邏移等諸多問題 - 它將爲完醤 「三資企業」的投資現境產生積極的影響。 「理方案。掉了解- 這個管理方案將從根本上解 同時制定了三資企業中方处理人緻的新管 「三好企業」中方管理人員的人事關係、喝
新
務入質,
1. (a)Name
2. Write
SIX international services provided by Cable & Wireless (HK) Limited, which might be used by businessmen. (b)List SIX services offered by Hong Kong Telephone Company Limited.
short :: notes following postal
Hong Kongs
(a) Intelpast; and. (b) Postfax..
services.
3. A number of Hong Kong taxis have installed Chinate) phones for their customer's use Mobile telephones have been generally accepted as an efficient means of telecommunications business
tool.
(a) What are the features
mobile phones?
(b)State the reasons for the irising popularity of mobile
phones.
{c}Name TWO mobile phone
products.
have
4. Assume you
to send a message from, Hong Kong overseas countries.
Briefly describe the essential considerations in selecting the means of communications.
5. (a)What is meant by courier.
service!?
(b) State the reasons for the
rising popularity of private courier services in Hong Kong.
6. Briefly describe the role of an efficient communications system in commerce.
7. What
are the advantages
facsimile transmission?
of
to
of
* 厚 - 既能上承宋院體畫之神輝:
·近世論工筆花為畫者,莫不稱許唐裨敎授覈詣之樑
* 奇師傳,令院組班有更進一步的發展。 * 以濺荷花賨現技獻、謝鴻教授得兩位大師祖點·融
高發揚光大,創出個人面形。迅融會之雅。
*號,實不過譽。
參考而已。
研究,亦從此檢計上述要求是否啦現於作品之中。此次 修業十年以上,亦有新進崮學習年餘者,但均能掌握, 了傳統之基本法度,其作品亦多有可觀。 一作鹉院梨花烏进欣賞,替淺學安言,卻同好 參加於資者計有四十餘位,除唐教授有新作展出外,有
一晚的問題,也許就在最近幾年之内。 唱了各油田的精兵强將及先進設備,包括二十七大批巨型、大型懵造,其中僅塔中一號構造面 [木石油勘探開發相烨部成立以來,塔里木會米 地,已發現有塔北,沿中兩大巨型構造號及二
· 他說,為何說成績大?自一九八九年塔里五十六萬平方公里,是全國檢大的生油紙盆 艘就達八千二百平方公里,而大發被困的構造
的。他的振播是;就面治治,塔里木總面積越 王秋明艵堅信遲早日在塔里木發現大油田
時,王秋明說:
萬噸原油生產能力打下基礎。 的地質計畫,已偽「八五一計劃期間建成五百 破。 一批高產油菜井,初步探明和控制了一定規模 望在 地質勘探已經證實,谁一中國變上最大的沉積 爲中國下一時期石油工妝的發展做好資源造 支離破碎,各自產撳不遏一百萬噸左右。做梦 即大刀闊斧地擴大湖深區域,爭取新的發現, 一千萬噸以上。現已找到的幾個油田,還脫得阿原油產能建設」,「面抓「更大的塲道」,
·萬公里,三維地群一千六百平方公里,發現了 一,工作重點主要在盆地北部搭北隆起區和站 的會戰大軍,已先後完成二組拖體測三點六 - 塔里木是全國陸上勘探程度最低的盆地之 ▲紅、纘井、深油、油建、網路、運糊等多專業 的镐造,怎能不發現人油吗?就勘探设激來 、克拉克、東湖西和亞 地脚部的塔中隆起處,日前地質勘察敦鯤的地
故地群隊、海菜街,而消極一千军方公里。這樣大的盆地,這樣大
我握的資, 十八尼特質, 新探井開鑽,是喜站攝 - 贈碍等。
福、踏中等地區打出 距,金山的,希
功率較高;由於地質柚況複雜- 雖不断穫得新 弗,結果卻不太理想。現在,這裡又將有二0 * 王秋明豉近說:塔里木勘探成績不小,踩非成 許。但是,其後在塔中一并附近微續打了二口
·新婚塔里木石油勘探開發指揮部継地質師‘井獲得高產油氣流,給人們帶來十二萬分的
將找到理想大油田 塔里木最近幾年內 地質勘探專家有此預測
談到爲什麽目前尚未找掺也自已的「八五」期間,塔里木將一面抓「五百战
總地質師,對塔里木的石油開發鸛-
滿 這位在炬疆地區做了三十七年地實工作的
盆地具有雙出的生油凝系和懋油麻菜,但要
樊萬化的地
綜複雜、千 肜摸其|
決
地的雞中一
位於沙漠
層和油氧粜
半不离的原因之一。, 了,這亦是造成勞動
動時間在二分之一左 和企業中,正用於勞
國家體改委一官員認爲 必須改革勞動時間 推行六小時工作制 每週六日工作改爲五日工作時增強戰工居調和勞動
紀律,那麽眞正用於勞
一家提出了「抓住有利時資報酬,一與時間賽時間呢? 一求的情況下,有經濟群湧現出成千上茛不料工 萃幾十年一直制的勞動行給工作好的拟工「獎 停產、一些產品供大於期的「大勛池」年代,時間太少了,何時能改. 遼寧省一些企業試 時間」- 深髪工
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