1966-05-25 — Page 22

育教僑身

日六初月四年午丙唇

WAH KIU YAT PO

三期三

日五廿月五年六六九一席公年五十五國民囊中

安試題預習專欄 商台升中輔導

• [8]« & 29 +80 °

+37369

ARSEN: ER 199, 88, equal to 23,360,

Lesson 3

Interrogative- Fronouna (SM)

數學科

喬仲強。

英萛科

梁永基主講

Explo

Consider the following sentences &

播出日期第二台五月廿五日 下午七時至七時半

1. (a) El do % B) ×Y ABLIEVIT, P Q 3 B C L L = $r

Find the cam) - valón af 416 ponny:slampa, and 45 shilin

ER 210 M-RUN U M-AILRQUE+)

The total value of stamps

» 21] × 18,+S$ × 3p.

-45 2x. 64.

Acewer: The total value of slampa 3; 23 2a. Od

"A

Exercise T

(設話如題)

(1)

Example 4

1. Who give you that?

2. What ie the matter?

3. Which will you take?

4. To whom were you speaking/

5. Whose is thia pen?

In the above sentences the words underlined are interrogativo Pronouna, They are used for asking questions. (IAEA OI, LEE MO ¤«', ALLO SER K ER)

'who',

The following are uses of the Interrogative Pronouns, 'which' and 'what' = (WAT Å 'who'.'which" „'what'** (4)

(a, who is used of persons only:

"Who A)

Estouples:

1. Who wishes to see you?,

2. Who has this book?

3. Who is ainging in the classroom?

The Interrogative Pronoun, 'who', has different

forsa for the Nominative Case, Possessive Case and Aocusative

(both ✡ t t & ££ AA

Саза г

Nominative Case (Subject)

Possessiva Case (Possession)

1. Who goes with you?

2. Who is reading?

Who ('20)

霉

Whose (1)

Accusative Case (Object)

1

Whom (*)

(Nominative)

(Nominative)

(Possession)

(Possession)

{Accusative)

(Accusativa)

3. Whose is the watoh?

4. Whose is the car?

5. Whom did they know?

6. Thou did you meet?

(b) which is used of both persona and things,

'which'

Examplesi

KAAM.)

1. Which are your penet

2. Which do you like?

(Nominative)

(Acousative)

3. Which of these apples is yours. (Nominative)

4. Which is your friend?

5. Which will you take?

(o) what' la unet of things only

that!

Examplesi

What did you see?

What is this?

(Nominative) | (Acousative)

3. What is better than that? (Nominative)

Mat to an island?

5. What are you doing?.

(Accusative) (Nominutive)

(Nominative) (Accusative)

vë may know that "what and which' do not hi different forms for different cagda.('whất'ja (which'

Consider the following sentencoe I

She asked me who was coming,

He did not know what she wanted."

I do not know which of these books fa better."

4 Tell me what is this:

5. Don't ask me whom I spoke to.

In the above sentences the underlined Interrogative Fronouns are used in asking indireat questions

Ezezolee

Follow the give or docusative'

examples and fill in each blank with

Nominative'.

Examples

Tho

What

Bought

you English? (Nominative) you doing?

(Accusative) (PosseRaiva)

Whose is this pencil?

(a) Whom do you when to seer

Which are your brothers?

(c) What did she say?

(a) who killed the cat yesterday?

(e) Tell me what do you want now."

"Exercise &

Pill in each blank with

which'

(0)

(h)

:(0)

第二十次預習試題解答

I, RS CALL +4 de PQ RSXY4= ABC.

(E)AX=AB, AS=AC (BRU)

2. AAXS AX AS

AABC

..

ABAC

AB-AC AB AC

(两三角形有一角相等或相補,其面積

之比等于尖法相聚積之比)

*

A AXSA ABC-

3. AT A BPY. SABC, ACRO SAABQ (2) 4PQRSXY(1-4-+-+) AMBC

AABC

(41ATE)

Q.E.D.,

(B) AB口直徑,K為其上任意奌P為AB孤中奌,試証

AKBK2PK'

(一設証如題)

(o) 1. TOP, qj < POB = st. £

(∵的中国周,国心角以其时弧度的

2. PK2= PO2+ 0K* ($kż†)

3. AK2+ BK2={Aotok)*+ (Bo¬0k)".

≈AĎ2+ZAD·OK+OK‍+BO¬2BQ-OK+OK!

=2(PO4OK2)

(A****14, 2# A0=B0=Po)

4 AK2+BK2= 2 PK2 (##)

Q.E.D.

2.(纸)三角形两边之長分别為at;且此两边上之中线互相垂直, 求第三边之長。

(44) 24: 8c=a, Ac=b

4 ADL BE,

AG= 2GD,

依重心定理

BG-24E

71 12 GD = x,««0 E=

NAG=20 BG may

依畢氏定理,在AAGE中, (2)

XABED,

式加

ZA A ABG →

24

c2—(2x)2+ (24) — 4(6+ y2);

(第三地之長答)

(b)自△ABC之顶桌A作人B,C之分角线的我线,設其我足尊

P. Q. Q] PQ== (AB+ AC¬BC)

設証如題

(SE 01) 1.34 £ AP 11⁄2 * BC & XD,

§1 st. ▲ ABP SADEP

— (8 21−48 APB=2D7B=ML)

2 AP=PP_AB=DB (*)

3. M¥2 THE

AQ= EQ, AC-EC ($120)

4. PQ支DE(ᅀ两边中奌联线,等柊第三边之岸)

5. PQ={(UD-BE)= | | BD~(BC_EC)]=2(BD+EC~BC)

3.

=2(AB+AC-BC)

(等員公理)

Q.E.D.

4 ABC = c, CA, AB = { [ 1% **12 = h¤} &¢T, CAQ ABRE (2) AP-BQ¬CR.

(4) AP, BO, CR = 1 + £

(設証如超)

(等边三角形内角)

2. ZABC+ 21-CABCTZZ

B <ABP=4RBC (bar)

3. ABRO BP-BC (2%)

4. 4 ABP ES A XBC. (s.a.s.)

$ APERC (2)

OTTE AP=BQ (B1%5)-

(代换) }· AP=BQ=CR

(証明)

Q.E.D.

114 ABCP, CAQ GÍS+* @_ #2 #L= 8] 3 + ko

(三角形可有一外接园)

2. 7 AO, BO, CO,

CADC=/20° 4800=120°

(8 <8P¢=<Q=60" x 12inte

四边形対角相補)

3. LAOB = 360°-LAOC-2BQC=1Z0-

whoaa

ar)

B

did he marry?

is she?

is tho horus you want to SCIAT

did you give it tor

thia haaket?

(g)

are they talking about?.

(h)

do you know in this city?

(1)

or these dorea ia mine?.

((0)

Answera to SISTɑIEU2

are those two people?

(a) she, (b) dine, (ó) their,= (8) hør,1(0)`se, (f) your,

(h) you. Answers

(周角走理)

R+4A0B=180°)

ABR三园共奌拎0.

5. AK OP, BJ < COP=<cop=4° (#B4B81)

6. <AOC+2 COP = 180° ( ~ € #84a)

7.A.0,P 第一直线(两角覦捕,外边成一直线)

By AP 12 12 05.

1. May at BA, CR tailo§ (8127)

AP, 80, CR = 1 # §£0.

CD) IBCP, CAQ, ABR =§#§ 30.

2. 2 BOP. ¿POC, LCOQ

(1) What the 1.C.F. of 464 nad 1247 by

the Division Method (7) Find the largest number which is a factor of each of the numbers, two hundred and fxty-six, three hundred and eighty-feur, and five hundred and ninety-fwar... (3) 10-83, 137 and 401 aro ezch divided by the same.avmber, the remainder is . What is the greatest possibla (7188) valuə of the.dirino:7. (4) '(0) Wrien down la Index form the HC.F.

of 2×]} 3x7×13×17 (b) Write down la`„inden form, the

L.C_M. vI (a)

(1) Pod tho, least ausber, angh that the remainder à 5 when la is dividos cukor by E, at by 12-os by 18, (4) Divide the Lư bổ, of 24, 36 and 40 by

that H.C.F.

(7) Find the sum of the LCM, ÁR HCR,

of 26, 39 and 65. (8) Thiga belia toll at întervala 32 sro, 18 xom

Bad 28 stà. Impoctively. They start 10- gether, after how long will they afat toli tayathar?,

(9) What tho, least sum of money which is

{23ytatt1r་

(3)

(A) 46-

(45)

(5)gh

【7】 ས་ར

(7)

#

J】·8er4tvz4ག

an exact number of sowas and guíasra? (9) mine

(25: KURZMAN 5 MAURO 6 Kg; • >_

£1 is worth (14) H.K. $16. How much £9 156, in HK, dolius?"

$ 45. (1 MG 14 N · 182 09 15 5966BUT7)

-3356

Aaryan 10 (59, ars worth $135.

Example 4

£1 is worth M. K. 116. Hoy mughs is #156. in povada and chillings.

€ 29 16 50+ MMA (54MARADAĄ? ||

#554

=2344--00

-59 126, 68.

Autwari 1154 worth £9 112, 64.

Example &

(~154 TERIERLASE£*}

-Kettuce F gralezak, € Zafferawat kad é fioxins into PRISA...

KTS 3 KAE & PHA $4÷ND!± • >

• 26

$ puinena 3d half-crowns-44 Horlam

(10) Find the smallest Ingth of wing wh'ch

eza bo divided. Ința an exmot number of pisces aither of 6 in, 1 (t. 2 iny 3 (k. 3 *I, 2' ft. 6 ing and S'in.

1050, 153, +-83

(10).

1285, -15364.

CHAPTER EIGHT. (BAR)

Money (1)

Hong Kong and English Currenales (FÆRARA8)

Answer 1 gulpena, di half-crowns and 4 Moriny aqual to 15358. (SINE645E 4 PATR 1526 (5+)

(1) Reduce đã lên Tải to Flas

4 farthinga,

* penny (d)

12 penca

-1 shiling (1.))

20 shillings-

-1 petind (6)

os 1 sovereiga

1 flori

1 crowe

1 a[n

→ Example

40%=12+

1204--14

20.541

14-24. 1-5

26 A

1930-21

ma

Cuange: 1630, Into pounds, shillings and pance,

́(42: 263 = DREI • #D • $££; •}

7636. = 7638.+12

65%. 54.

-£3 54, 58,

Answer: 765d, equal to 23 ŽE TA

(* 1765 MALÇINI KANDIDA

Example 2

-Redan 19°14. Ed. to penca,

HLAG 14

(@ERE*•)

£9 14. 84.

-->:203. +14%, sd,

1943. 84,

Dad 15

G+4 c*

¿

Exorcise 8

Rod

quineza, crowns, I half-crowna

and 4 floral into pesca,

(2)

(1) Changa 13754, lato pounds, ahlilinga and

JENGO.

(3)

(1) 41 ja worih TLK, $16, How much i

13 3. in H.K. dollars?

(4) (2) £1 is worth AK. 16. How much is

#252,50 in 2, 10%

(3) (4) The arutuse palco (@Vai(1) or a table is

£ 63. B. What is the valuu of 45 ¢ubl:#7⋅ (6) (7) Share (%) 4 púlzo" (p) of 444

equilly among popila,

C81 warth 51K, 316. A houan is let (

12) ut $14 per year. Find the rest (*) for month in HK, dollarThe

(9) Flad the total cost of

€43 6 ruler at I, 46. occh

(by 8 pencil-bones at a crown each, and

453 45 penella at 24 pa dozen,

(19) Fiad the total cost of

(a) i grows matches at nå par doxen, (0) 6.5 1. sugar at 4d, per 10.

(0) 6 b. tog at 2. 64, per 1b; and 18) 3000 espa wi Bd, per dozen.

《72saviorituitarth

(B), wit

હૂંફ આપવાન

(12) m.

36

: corB: cos ( = 1=25:19:7

(b) A ABC (i) $== a GPS

(正)因

·Col·

Q. E.D.

$2 $==(a+b+c) TATE

(a)在任意△ABC中,

K

soin A

試試 ca A-B

QED

211 a=2Rain A, b = 2RainB, C=Rai C

(0) 4

ath

2Rim ATARB

Rain C

去合母

sin Co

ain (90° €) cor AB

cos

A-B

ext

at b

| (b) % a+b= 20, A-0-90 SE - C=

(調)以形設條件代入上題所得之式

sin and 45°

604 C

5、(a)設如右图:AP平分半国APB面積:

(E) ER 04B), Thop, aj

<BOP=20, XTR A0=B0=Posr

@] AAOP=1 (π--20)

=21 sin 24

* APBTY.

24+ sin 24——

泥解方程式 (3)

sino

Q.E.D.

Q.E.D.

tano + 3cot 0=5 sec ☺ ( 360° vozu)

3cos O

Sinô

6.6.2.

去分母

AP. BQ, CR=13I¥

3 be

去拍号移項,化簡;

分解

Co z

aine + 3O

4(α) AAB¢& ✩ # = 1 ± ± ! ¿ ↳ $ 5:6:7, Birt 豬豬比

(**) bπ 31 * 14 sin A ? mim

* 2-4---k, Ala-sk, b¬6k,

(e) ne, (b) (c) Jans and him, (d)'mo.\{9} her,]{f} Thoy, đâ04hté₤11- cu A

Who - Interrogative Fronoun:“

·36822+ 498

ain2 0 + 3 cor2 6 = 5ain &

in 6+3(1-sina20) — 5,sinŋ

(sin 8+3) ( 2 sim 8 −1)==0

則in=1日(此镇不可) Wž zamo-1=0. 9] ~ain, 0 == 200=30°

因此值不能使分母(cra ain)為零,故為原方程式根

签

0=30° 3% 150°

150