期星
日二十月二年六六九一曆公年五十五國●
教室
第一个月二十年已乙麼買
WAH KIU YAT PO
中考試試題預習專欄
華僑教育
英文科
(=)
方問陶。
TEST 2
Tige allowed; 25 minutes.
1. Put a word in each blank, The word you write must be the
correct form of the word on the left!
(e) MUD
(b) a cup of
It may rain, the sky is rather
This book is quite
中華試題預習專欄
數學科
奮仲強 • 在第一次的(列二)題中,我曾經說過,其解答是有錯誤的其瘢结 好在,則為未曾注意到AABC(以為銳角) A 中如果B或C总鈍角時,則如右图将式 BABEA HBF, LE=LF=RO!,
LABE=LHBF (頂)
- BHC LA
故如果謂BHC弧為要心之軌跡,則適合 條件交奌,仍有一部分在軌跡之外,对於軌 跡之“浣備性”(-
分條件),未能符合,故其 正確解答,應如下述:
1
(a) CLOUD
(b) PEACE
It was very
in the woods.
(c) FOOL
It ta
for him to do that.
(d) USE
The road was wat and
2
Write the NUMBER of the correct word in the space.
Use each
word once only
(The first one is done for you.)
{a} a pair of
(a) paper
(2) bread
(b)
(c)
& shoal of
(3) monkeye
(0)
(á) 2 box of
(4) trousere
(d)
(e) a sheet af
(5) time
(e)
(f) a přece of
(6) .fish
(1)
(g) a ton of
(7).chocolates
(6)
(日) coffee
(9) posl
10) fire
及QQ則當A奌在DQ弧上時,則垂心H在BHC孤上;若AR在BP孤 上時,則我心在即弧上(如图开示); 又煮A奌在Q弧上時,則無心在弧上 至盖頂奌A在下方時 可信此诚以 求得之
P
A
11) wall
故 BPQC弧為項奌A之軌跡
12) bridge
先過BC分别作BC之兽线PPH
解析)1.如右图: AABC马通合條件三角形之一,不写内心
By By Cray <1=14ABC. 42== LACB (AMGZ #L}
180°— (41+42)
【三角形内角和定理)
二:180-(-ABC+∠ACB)
=180° - £ (180°-LA)
090°46x(一定角)
3. 因 B, C 马定奌,故工之軌跡為一双形孤
(可形軌跡定理)
(4) 1.8 31 BD 4 4080 = 904 $60.
(誑明)詳見解析
B
Q.E.D.
嗯,三角形底边体置太小一頂角大小一足,當頂奌移動時,試求其
九奌同心之軌踏
3. Put a mark / to show where the given yord or phrase should
be in each of the sentences. Bon't out it at the beginning
or the end of the sentence **
(a) He is a good boy and gives any trouble. (never)
(b) Shall we come next year? (again).
(0) This room in large for the boys. (anaugh) :
(a) The boy has returned home, (juat)
(e) It is late to catch the plane. (ton)
4. Underline the correct words in the brackets which mean the
osposite to the words printed in capital letters
(a) SHARP
(5) BEGIN
(c). HARBOW
(d) BEND
(6) NOISY
thin, blunt, dull, hard; far.
etop, continue, start, coase, ende bread, back, broad, board, large. strength, strong, powder, stone, s
quite, auit, quiet, quick, qusen.
Underline the right word in the brackets 1
(a) The lion la (killing, kill, killed) by the hunter. (b) She is (drawing, draw, dper, drawn) a mặp now.
(c) When it (rain, raining, rains), we carry an unbrella.
(a) The tree has been (shake, shaking, shook, shaken) by
the wind
(e) The cat 45 (119, lying, ley) under the table.
Some punctuation is missed out at X. Put the conreat
punotustion mark clearly in the brackets on the right
Examples How many pens are there in the box X
(a) "What is the time X" she asked.
(b) "It is four o'clock X” he replied,
(c) Tex she said . "It le late.
(a) Itxa nine o'clock.
(e) The boysi teacher told them to Fild.
Rewrite the following groups of words to make sentençan
on the ground / the rain / does not remain therS
that falla.
(b) to read a book / to write one than it is easier
(c) gore and more work / by enimalo / se tige went on /
done.
a' bad master.
been called / fire // but
影AABC岳心之軌跡為PBcQ弧
注意:此两弧為全等形,可依鉛;
至於岩义乌鈍角時,則我心之軌跡 亦須特别留意兹並解答之如下 諉如左團 BAC 抓為頂奌A之軌跡,到
<BHC=180°=x,故H在興夏更A周惻 之共軛孤上,但因須在两平行线PP 及QQ之間,故要心之軌跡只是PHQ弧 而不是BHC弧,其中BP及CQ两弧,对 於軌跡之“纯粹性”(必需條件)顯然 不合讀者可细黄推敲之
(附註)本題討論 对於一般讀者,當然觉得較為艱深,在家 課練習中,已感不易深信考試時,不會有此類題目,不蒙者 使讀者徹底明白乾跡之特性(纯粿性牌完備性),不厭其警特
例
第一次習題解答
三角形底边位置大小一定頂角大小一定當頂桌移動時試求 其内心之軌跡
(已知)△ABC中,底边Bc住置大小一定
(求)當A奐移動時求院内心工
之軌跡
·成爲一個未來之良好
二次縣市成·誤人子弟?
「做好份內的便了,但
【第守本身的崗位,和
謝薪
人教員
熊不了。
真的率好使授而不發法,得使非際官,案,再發一一到了
港七各上號嗣北面)
頁六息有
張刊敎
第在育
區崇
【回的免女露無法受到取申請,由該會派 他天的下一代,而且大成三樓會會所
也不能無辭,一生乘商报改管毅之學童,
(份工作,比任何實上,由該會動時推定 周自己兒女的教育罗一般有志向恐而無力
(已知} AABC中,底边G大小住一定
頂奌A定為X
球?當奌樓動時,求△ABC九奌园心
(解析)1.設AABC為適合條件三角形之一.B
則AABC外接国之半狂為一常數.
(形軌跡理)
2 因九奌园邊 BC文中桌 ¥
XM=AOA=定長
【老吳國直接递外接园之半径)
3.x奠定点, (一线段只有一中奌)
4.故N之軌跡笃以X為國心,OA 半善
半程時作之国
法以眈写法,作含形角等於
為徍作国
一双弓形弧設其园心為口
3,X AABC九卓国心之軌跡 (証明)备
QED. (附註)在桌园直径蓴外接徍主關係,並略譯之如下;(用上圍)
只QX=AH=AP(A奌至我距離為外心至对边距離之兩條) 铭 APX0萬平行四边形(一组时运相苦果村》
PX-AO
又因九美国经遇 P, D, X三桌即為tiAPPK之外接园
鈍角三角形之九奌园心,有時可在三角形之外(九莫因心為外心典 我心联线之中真)故着本題頂美A之軌跡為在上方之劳形弧到 九桌园心之靴踱不是X园上方之半国亦不是全组X园 而是X园
第三次複習試題
(1)在是国口中一AB為定弦,AP总和弦,以AB,AP画翻边作平行四边
B形 APCB 當P桌移動時,試求此平行四边形对角线交真之軌上
(一勒真至两相交园之切线,其長怪相等,試求其軌跡
(3)两定直线 ABLAC有一等腰直角三角形PQR 其斜出 QR元
两端深情的钱格应求其直角頂真ㄗ之軌跡
海襴袋稱:教師道, 及教育,將辦理助學
就梯有筛
救
部
蒩我∩閟新正的,會有若子家長投 對課本的知能不能
【收,而要家長支付一鯸近百元的卻習費,道
於英文私校師會,附會的很失無可估計
辣苦甜酸作工師教
見意串連界育教
海林金薪予發早提月每張主天瀚彭 利幸王薪高獲宜巨艱作工師教贊潤 易不大實師良優爲成欲謂
私立學校之發薪
difficult to stop
forest, firds / 000s
8. If the word ends an
If the word ende in
Tr the word ends a
(a) WANTED
(b) PASSED
(c) FRIGHTENED.
(a) WASHED
and write do
(e) MISSED
9. Read the following:
anyth
Tom was not well. He stayed in
So abe Tan
eat. He could not even drink
like him.
Mother felt his hand potor and told him aboi
Top Toge
brown medic
2. would
do him gos
fago when
No he said "E"That
nasty medicino
stayed in God höghushi (4)] TO
hungry,
he was a naughty boy?,
he WEB Very cold.
doptor cann
2. the sans day);
3. next morning/
4.1 in an hour,
mother
made hâm drink his milk
gave him some medicine, qalled the doctor.
442d nothing,
The medicine was
1. pleasant.
no good.
unpleasant.
Change the COLLOWING BEntoncesƑinteƐauaatsong
She could finish the work in time.
(b) The patient is now fres
They quarrelled.
(d) The doctor cured him (e) They are very kind
her.
asthas
the poor.
12. Give the PLURAL of nach of the following words..
(a) headmaster
(0) foot
(b) company: (a) prí
not want
10,
b) He was ista yesterLAY
(4). She had lived here for ton years
12 PA11 the blanks
food
(e) The Kin
Answers to TEST 1
backward, (b)
1) panf, (c) bigger, (1) foot, (e) Sir,
(a) untidily, (b) obediently, (o) politely, (d) well, (e)oggily
is, (b) was, (c) anto, (8) will sail, (e) knocked,
(a) Han he finished thesong?: (b) Did the boy wanted anytning
to pat? (a) as Henry looking, for anyone? (d) Was there a
fire last night? (a) Do they speak in English?
5.1(a) with, (b) on (the), (c) of, (d) from, (e) in.
6. (a) gain, qarn, (b) weather, olimate, (o) above,
rack, (e) top, ESANS,
x)(b) the. (a) an, (d) an," (e) the.
hacause, (c) but, (d) but,
(b) painful, (c) friendly, (d) serious [9] taple.
12, (b) 5, (0) 4, (4) 1, (9)
11. (a) A new dresa was gade by her. (b) The hunter shot the lion
(c) Tom's pencil was lost by John. (d) The bad boy broke the
glase, (e) The mango tree was cut down by the man.
the
1? x(6) opsirs, (h) sheep, (c) thieves, (d) potatgas, (6) oxen.
(h) they vere, fo) he is not, (d) I do, (e) 1 den!);
has foup parts, Ungerline