其一第張六第
日九十月正年午芮麼靈
* CITY - HALL
WAH KIU YAT PO
育理
Example
華僑教育
In AABC AB>ACBD, CE are the bisecIOTS
六六年度
英中会考試題預習專欄
of <B. &C mp; prove that BD > CE.
The ploty is given here in outline firm
(1) LACE > LABD
(2) Draw ex st. 4 ECX= 24BD÷
Then ECX CBX
BX">CX)
數學科
(六) 歐陽鎰文•
Then
Mathematics (6.)
3.B
TRIANGLESI ). and INÈQUALITIES
montant Themens.
A, For Congruence of
++'s SAS, LZI ASA
EASY PROBLEMS Soluble By Analysis
INTO REA
base as isos. a (are equal).
sides opte equal est are equal.)
The converse
biscter of vert bisects the base at the Calso time bisector of the ext < of vert a 'Il to the base
It is always equidistant from the mid the hypotenuse to the three vertices Hypotenuse is the greatest side
Ht - with one acute
in Y.A. =60° (or 30°),
hypotenuse equals twice the shortest side
Rny A
Ext. of A
any interier
mequalities 3
opp.
the third side.
the third side
Any two sides together
The difference between any two sides
The greater side has the greater apps. < (The convers
also fine:
Example
JA AABC AB>AC take points D. E on AB, AC produced reap, Such that AD=AE= £ CAB+ NO then DE bisects BC
SIVE: AABC with AB>AC
AD = AE = ÷ CAB+ AC):
To Pcore DE bisect BC
Frog Kot DE Cub Be at P
Draw CFIL AB, cuts DE at F AD = AE = CABARC
"AB+ AC= A0 *RE W AB - AD = AE - AC
BD CE
for Take M on BX s.f. BM = CX-
Draw MN HOR eN lies betwem Bmos.
a CEY * A BMN (ASA)
CE=BN
Solution
AN<BD
Y BN = CB
> ce
from the foot of a tower, so ft high, the augle of elevation of the top of a colúmn 60, and from the top of the tower, the angle of elevation is 20 find the height of the column,
Let the calumn = AB = 1 ft
the tower =
DHW FR #Q8, then AR={X-50}p In AS APR •PR= AR Cot 30*
= √3 (x−50) ft
YAAQB QB= AB Co+60'
Since PREDA
A
√(x=50)
X = 3(x-50).
column is 75 ft high
Example 6 ↑ From a lighthouse ! two ships A and B are
observed in directions SW and is East of South resp. At the same time, B is observed from A in
a S.E direction If LA is a mi, find the
ace between the ship
hat L. A, B be the lighthen. and the two ships as shown Join LA, AB & BL
In AABL LLAB=x+ AP app
~ALB=45+ 15 = 60* )
fouce, & ABL is $e at A.
AB AL Zan ALB
x tan
The distance
Example
日八月二年六六九一展公年五十五國民中
英中會考試題預習專欄
普通英文科
GENERAL ENGLISH
By Mr. Hui Yan Fong
Answers to the previous exercice.
1. has been raining. has rained;
許藩芳
suspect always rains; bas rained.
arrived; am just beginning; have just begun; find; am living: do not possess; am enjoying: have enjoyed have already had;
have come are studying; are working; have been livinai
have Luted do not all speak; comes; Came still speake (18 working) long hours with an export-import firm where they (weak) little English, have been; have picked; am learning:
a) in; withi on)
to
el for
with; to:
with:
to:
f) experienc
honest, Frank)
b) obtain
moving
ai reward
permit
desd
1that.
hy barrister, defence,
(1) but.
(a) In former times there was a class of persons called
knights-errant who clad in costs of mail, rode about pang. to fight with one another and to, redress the songs of persons who sought their help.
(b) Thinking that he would help me with money to pay off my
debte of long standing, I went to his house at a particular hour when no one is expected to he out.
(b) beautirs
(a) petrif
(d) stupefy
(o) dofx
(1) unify;
(1) clarify
(a) solidifi
(f) gratify
(1) Dersonit
(h) atultify.
(k) to make vivid, vivify; to errange,
in gets and ranks, classify
(a) electrify
(p) pacify
(n) glorify
·AD-AE
BDII CF
Const
CF
CE
equali
DBF C is a gra
B-RPC
"From A to B two stations of a sailway.
Line runs WSW
person observes
Que in the same tine which bears ANN. BI B their bearings are NTEE and N 375°E the rate of a ham which runs from
P. & be the two spines
PR
Example 2 In da ABC. M is the mid-point of the hypoten ase Bb,
DHRW M3 LBC st. D lies on opporite side of A and
that DM G B C
4ABC WIFE ZA=He
24 PBA, ORA are
GN=MC=MD
MDLBC
•Prove: AD bisects BAC.
Frove that AD biscote - BAC.
roog. Join AM & draw AN IMD
MD 1 BC
ANLOC
Since M is the mid-point of BC, E., MA=ME=MC
MADD
20= LBAN
«MAD=4DAN
MA EMB
balles, isos a Alt, 26 MDHAN
proved
PBA - 90-
*BA= _PBA - 2PBR
60
In Y & PRA
1. ARBA
Find
A to B A
PA = AB tau PBA = AB tan bo
·DA AB Lay RBA AB tau 30°. PQ = PA - QA- AB (Lou 60-tan 30) 1-5-AB (√ # AR – 1ST – 3Elmi
Hence, the speed of the train is
(x) 개설
Read the following pessage carefully and answer the questions that follows-
I was ever or opinion, that the honest man who married and brought up a large family did more service than he who continued single and only talked of population. From this motive, I had acarae, falon orders a year, before I began to think seriously of a matrimony, and chose my wife, as she did her wedding gown, not for a fine glossy surface, but such qualities as would wear well. To do her justice, she was a good-natured notable woman, and as for breeding, there were few country ladies who could shev more. She could read any English book without much spelling; but for pickling, preserving, and cookery none could excel her. She prided herself also upon being an excellent contriver in house-keeping; though 1 could never find that we grew richer with all her contrivances.
nowúver, we loved each other tenderly, and our fondness "encreased as we grew old. There was, in fact, nothing that could
make us angry with the world or each other. We had an elegant house, situsted in a fine country, and a good neighbourhood. The year was spent in a moral or rural amusement, in visiting our rich neighboure, and relieving such as were poor. We had no revolutio to fear, nor fatigues to undergo; all our adventures were by the fire-side, and all our migrations from the blue bed to the brow
As we lived near the roвd, we often had the traveller för - stranger visit us to taste our gooseberry-wine, for which we had great reputation; and 1 profess with the veractity of an historian, that I never knew one of them find fault with it. Our cousins too, byen to the fortieth remove, all remembered their affinity, without. any help from the Herald's office, and came very frequently to see use Some of them did us no great honour by these claing of kindredj as we had the blind, the maimed, and the halt amongst the number. However, my wife always insisted that as they were the same flesh an blood, they should sit with us at the same table. So that if we had not very cich, we generally had very happy friends about us; for this rewfuruwill hold good through life, that the poorer tha guest, the better pleased he ever is with being treated; and as some men gaze with admiration at the colours of a tulip, or the wing of a butterfly, so I was by nature an admirer of happy human faces. However, when any one of our relations was found to be a person of a very bad character, a troublesome guest, or one we desired to get rid of, upon his leaving my house, I ever took care to lend him a riding coat, or a pair of boots, or sometimes en borse of small value, and I always had the satisfaction of finding he never case back to return them. By this the house was cleared of such as we did not like; but never was the family of Welefield known to turn the traveller or the poor denendant out of goora.
< MHB =<B = complement of C
ANC. • N&C is the comp of ac
<MAB = -NAC
BAD-DAC
Example 3 In H. a ABC, <C>A., BDHAC ED = ZAB
Plove that <DAC = <BAC
het i be the mid
Join GN
GED
Then, No the mud-al. Of
the hypotenuse of W. BED
NB-NE-ND AB.
A BAN
But
BD
BA= GN
28.
JAC = + <BAC
proved
base is isos proved
banes,
ALL W BOHAC
HINT
+(-3)=55; f(n-1) = (3n+1)(2)
(fal Explain the following words and phrases,
41) to be of opinion
(3) matrimony
(2) motive
(4) to wear 'well
15) ta đó her Levine
(7) elegant
(8) veracity
ANI.
(9) affinity.
(10) as for
(13) as she did ner yodding-i can.
(12) arctitr
of the given exp
(b) Writh a summary of the above passage in not pee thân
180 words.
Then RFC) +
6=0·
ANS Q-7b
Exercise 30
In A ABC, AB>ACT AM 15
median. Peore that < BAM <«CAM, In 4 ABC, AB = 28C, _B=
•zat, then =C=ste
3; IF AD, BE OF are the three medians of AABC
then 2 (A) BE + (F) > AB+ RO+ CA>AD+BE+CF. 4. The angles of depression of the top and foot of a
tower seen from
a monument 96 ft high are 30 and find the light of the tower
A light hause facing & sands out a fan-shaped beem extending from NE to NW A steamer sailing due W
the first sees the light when 5 mi
from: away light house and continues to see it for sova minula what
the speed of the steamer
At 10am a ship which is sailing, & 41's at the rate
17 10 mph Observes a fot oparing 44
noon the bearing of the fort is NIS*W distance of the fort from the shy at each obs