1981-06-14 — Page 15

育教僑華

真三第張四第日三十月五年酉辛屦夏

WAH KIU YAT PO

報日僑

日期星

日四十月六年一八九一层公年十七國民華中

3x+22.62

5600

(b)

1981

中學會考試題預習專欄

where `n` íg

any

-| (2x+3)αx

(x+1)

3y-9x=-1.14

y-3x 18 anıl

3-3x+38 ()

560"xn-29.62°.

附加數

(+3)(x+1)

120°x-8°(rathe

(試卷二》:

建議答案 明德社提供

Suggested Solucione

HK.C.E ERA,"

ADDITIONAL MATHEMATICS;

Paper-II

SECTION

nearest degrée)

(Ans)

+3)(x+1)

Area bounded by the curve and the y-axis

(c) As 0 gr £1

using

Bult

(b)

the required range ia (AaR.)

which is the locus er p.

(Ans.)

Sub

routa: 810+

(ii) Let x « √3tane

dxx

(P

(1)

Whenx

When

Product

Squaring pik sides of

Q+ësinëcose

DIX+2

(2)

Area of the shaded

1.0

A(4%)

(a) Substituting (1) into (2):

(m2+1)x2+hmx+)

(3)

(Ans.)

Let the roots of

and

G

(tan+1)

(e) Volume generated by the iine and the y-axis

about the *-*

Deb)

** (2x+3)2 4x

and (x,-X)

·221x+2y=8-0

Solving the equations

A(4,2)

hout the

Let D-

21

52.67.77

Volume generated by the

(1)

curve and jus

(2)

(1) 4 (2)

curve AR-

2(x-1)

1.6. 2x-y-10)

:(3)

Substituting (3) into (1),

+7(2x-1)

-4x+1+

aled

the point of contact

(Ane.) peated root

Aren under the

ACH

From(4),

When

(3)'. £8, £x-y-1 - 0 the

-[]

(Ana.)

20.95 T

the required volume,

32,671-20,951.

31.74

(a,b) and AG GD

5t-4

and t-6 m

(Stal Sta20)

(ADB)

(b) Equation of AK is gives

y+10-2(x-4)

3-3x+10

Since Glies on this line,

(t~6)-5(+)+:

D(3x2-4 3x2-20

(1-7)

aired common

(Ans...)

(1)

4755

the area of the shuded.

region

1.999-(-0.4755)

The length of TS

x = k(x-4)

Integrating

y = √x(x)dx

the length of AD

√(4-1)2+(2+7) 2

··√(8-6)2 + ( 3 8 +34) 2

2

190 3/10

Slope of AÐ ➡

(3)

2.378

Let u(x,y) be the mid-pulut,

since it passes through (~1, 4) and (0,1

(a) Considering AEHE,

cosine 1

Slope of AD

2

+ ((~1)2 (~1)}+0

+(rk)=»2rk'k¢os60°

tanŹBAD

2udu.

dx

Substituting into ((3),

12c6a3x-sin)x » room(3x+0)

( 24 ) * + (4*)

9-1

81x3

which is the required.

Focus.

SECTION B

(a) 1 m

Let y

When

When

-wine-dy.

k4 (Ans.)

required equation

k2(1-rer2)

#in45

(Ana..)

(kerk)**

(k-rk)2(})

(Ans)

ALBAD

(b)

(b)

**)~}}2 (1-r)2.

(An.)

In: AAEM,

-{{AC)®:

Áron of AARD

AHZADBIRLĦAD

- (14/8)(3/19) (73)

(7/2)(3/23)(-)

422

Area of ABC » 2x42

#x43 84

8q.unite A(442)

length of AB

(Aas..)

(b)

CO

(1) (1) meets (2) at 2 points

if and unl

AB × 0.

(Ana)

(11)(1) 18 a tangent to (2)

if and only if AB 0,

(Ans..)

(111) (1) does not meet (2)

if and only 17 AB 40 1.e. -/3ca43 (AMK)

(c) Substituting m = 2√3 into

(3),

For m

13 ±√48-48

2x4

(1)

Similarly

13(3x-313x)

13(nogens3x

-BinPath3x}

13. god.

22,029

Now

13ena(3x+22, 62°;

(Atis,)

-13

cpa(3x+22,62")

不隨禮柯多新彩ÿ無報請遠 另報拜式采穎色任販就道 收附出印多雜華§歡近閱 費送版刷姿誌僑迎閱向戶

2x+3= 2x-3x-2- (2x+1)(x-2)

or

7

Area bounded by the line,

(Ane.)

and the y-axis

器

Let be (*,*)

Area of å ̈ÅÞD

= (4y+ (~7×)+2-2x-

412

1.e. Jy-9x+30 - 284 3y-9x - 54 and

郭日僑華閱訂期長請

訂閱電話:5-229081内線3號

equation of PQ is 2y-1-0,

(Ans.)

(d) The equation of family of"

cireles required ta

x2+y2=1+k(2y-1) = 0 {Ane.)

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