1970-05-07 — Page 21

DOPE T-#HA BENACHETAWAH HIU YAT PO

報日僑華

光學變限 中文中學會考試預習專褓0英文中學會考試題預習專欄

文書院主編

數學科 (廿七)

EX

喬仲強。

第廿六次預習題解答 (1)由矩形ABCD 之頂桌C,作对角线之套线,看其延

生物科(廿七)

BIOLOGY (27)

Answers to the questions of last week

長线典∠A之平分线相交於E.試証 AC=CE.

(Cu) ABCD 3* CFLBD

ZBAE=2DAE.

(E) AC-CE,

(ÈLE OJ) 1.15 A 14 AG LBD, &

AQIIFE(同线套线互相平行)

2. <GAE=LE(!!1* <^^* $)

3. AO=DO(矩形对角线等,且互相平分 4.21=2(等腰三角形で底角相等) 5.13=42(同為∠ABDえ食角、故相等) 6. <3=41 (等量代换)

7. <BAE-23=<DAE-21 (#t#2)

RLQAE=LCAE,

8. LE=LCAE (417)

9. Ac-cE(对等角之边相等)

2) AABC4, AC=3AB, LB C14 LAZF6WWÉ* CD,其会足為D, 求証 BC平台AD,

EX®) AC=3AB, 4=42, CDL AD.

(*) AE-ED

(証明) 1.延長ABCD使交于F

LADC=<ADF=\til (岳线成直角,直角等)

- 21=22(8+0)

AD-AD (a)

A APC & A ADF (SAD)

5. AF=AC, FD=CD

(@##<¥)

· AF=3AB (2 AC=3AB, 44

BF=2AB

7. 15 DAF DE UCB, §) FG-GB (1422)

8 FG-GB=BA (ABF=2AB)

9. AE=ED (##À¤I)

QE.D.

(3) ABCD+ -P, <PAB=<PCB

PBA <PDA.

(已納) ABCD為平行四边

(1=E) 23=24

(SEGA) 1.LE PAK PQIICB

1 PQ-CB. MI POL DA.

(平行四边形对比等,代换;同线平行线互相平行) 2. 联 AQ, BQ,則AQPD典PQBC均马(一组地等&!!) 3,42045,24=6(平行四边形对角相等) 4.4=25 (4*

5、A,Q,B,P共园(两4S有公共病,頂角等且在网上) 6.43=<b (过同弧园周角等)

43=24(代)

QE.2

(註)本題是將ᅀDPC平移至AAQB處証之.

(4)以△ABCAB AC高边向形外作正方形 ARDE

3 ACFG. A 86, CE *82*0, Q1OATA LEOG. 已知) ABDE, Ac FG均為正方形

(ED) OA LEOG.

(BEQJ) 1. LEAB=2QAC=MT.L (73={201$11)

2. LEAB+LBAC=¿QAC+LBAC

B4 LEAC=LBAG ( — ▼taho)/

3..EA-BA, AC¬AG

(正方形各边相等)

4 AEACHABAG (S.A.S.)

5. 21-22 (**)

6. A, 0, C, G $*8.

(两AS有公共库边顶角相等且同侧,則四顶奌共园) 7.联CG,则<3=L4045°(刘同叛园用角又正方形过有线典

8 20HC=LAHG (ITAR) { −24*1345′′)

10. 45+23+2HOC=180° (= 1 1⁄2‡, EOC ŽÍй) 11. 45-45°(等量相減)

12. 25=23 (4**) & OA‡✨LEOG.

Q.E.D.

(5) ▲ ABC 4, BELAC, CFLAB, E, FL #2 % Og

△ABC的外接园心,求証OALER, (設如題)

(SE69) | LE AMATLOA, #1 AT為口园切线:

(半経外端典之垂直之线為切线

2. LCAT=LABC (TEM) 3, 4BFC=¿BEC=st. L

(垂线成直角,九直角等)

4. B, C, E, F Q &#8

(两AS 同底顶角等且在同)

FEA=<FBC (因内接四边形外角等於内对角)

<FEC=<CAT (***)_________

7. FEII AT (内錯角等两线平行)

OAL EF (一线垂直两平行线之一,必褒直於其二)

QUE.D.

(6) 0,? ♬ &* A, B LOLC.DAŠ SUI#CAE,

CBF 2 DAG, DBH,

(詖証如題)

(ET QA) 1, 74 AB, 891

¿CAB=CH(

E GFIEH.

NO.

【形之外

2.联CD則

<CAB+4CDB=180°. 《园内接四边形对角互補)

Answer

/ State the Tanotions or the blood,

By means of a labelled diegran, show thể outer feature and internal structure of tho heart of mannal,"

(a) Punotions of the bloods

(1) Transportation - (1) The blood (oxyhaemoglobin of the red blood cells) conveys oxygen from the lungs to the tissues and carbon dioxide (daoryhaemoglobin of red blood cells) from the tissues to the lungs.

(ii) The blood carries nourishment, after absorption from the small intestine, first to the liver and then to the tissues.

liver and t

(iii) The blood conveys the excreta (urea and nitrogenous wastes) to the kidneys for excretion in the urine and to the liver for excretion in the bile.

(2) Chemical co-ordination - Hormones secreted

from the endocrine glands are distributed by the blood to the tissues or cells so as to harronize or co-ordinate the working and functions of the body?

(3). Prevention of infection - The leucocytes

(white blood cells) possess phagocytic action. That is the bacteria or germa invading into the body are ingested or destroyed by the Leucocytes w

(4) Temperature regulation - The blood absorbs

the body heat and carries it to the skin and lungs for dissipation into the air. This is the way to keep the body heat constant and to prevent the body from becoming overbeated. (5) Coagulation of blood for healing process

The blood platelets in the bloed form a olot to stop bleeding by the conversion of fibrinegen into fibrin in the presence calcium ions and other factors.

(6) Maintenance of turgidity of the body - The-

constant pressure in the arteries causes the blood to support the tissues and to maintain the turgidity of the body.

(b) The outer feature and internal structure or

mammalian heart-

pulmonary

artery (Right) Anterior

Right

Samikinar Valve

posterior-

Vena Cavij

Vena cava

-Arch of aorta

Pulmonary

artery (left) -Pulmonary

Vein

Left auricle Bicuspid valve ~Semilunar Valve

Tendinous

Cord

Neft

Ventricle

Heart

ventricle

Aorta

muscle

Tricuspid velve

Right

3. LHCCDB=180 (73)

4. CDIIEH (同内角互補,则两线平行) 5,12Q(国内接四边形之外角,等於其内对角)

6. <I=<之(対同弧之國角相等)

7. 20=12 (484)

8. CDII GF(內錯育等,則两线平行)

9.QFIIEH(同线平行线,互相平行)

(7) GL27) ABCD, AD=BC, LACB> LADB, WEL

BD AC.

(認証如題)

(SEA) 1.15 A17 AE!! DB, X58

1 BENDA, BEAD AFÍ∞

边形(两组对边各平行,

2.2ADB=2AEB, BEAD

(平行四边形对角,对边相等) 3. BE=BC (44)

4CE

112(等腰三角形で底角相等)

5 LACB><AEB (472, & =\E <ADB=LAEB)

(LACB-<1) > (<AEB-42) [74****

BY LACE THE LAEC

7. AE > AC (=#= 4 x + y bé ✡X)

BDAC (BEAD 2 BD=AE, 4+#)

OLD.

(註)本題將用証法,是將BD平移至EA位置.

四斯星 日七月五年〇七九一展公布九十五國民華中

2. (a) State three main differences between arterie

and veins.

(b) Starting from right ventricle, trace the path.

which a drop of blood would pass through before coming back to the starting point. (0) Briefly describe what happens to the blood an

it passes through the capillaries of lunge?.

Answer:

(a)

Arteries

(1) They carry blood

away from the heart. (11) They are usually

thick muscular and have elastic walla.

(111) Blood in arteries

is usually oxy- genated, the exception being the pulmonary arteries.

Vains

(1) They carry blood to

the heart.

(11) They are usually

thin, non-muscular, and have less alastic wall.

(111) Blood is veins in

usually deoxygenated with the exception of the pulmonary veins,

drop of blood from the right ventricle passes through the pulmonary arteries, enters the lung- comes out through the pulmonary veins to the left auricle, passes through the bicuspid (nitral) value to the left ventricle. Then the blood is pumpad out vis the aortic arch and the dorsal aorta to all parts of the body tissues, Finally the blood comes back to the right auricls through the vena cavae, passing through the tricuspid valve this drop of blood eventually zeta back to the right ventricle.

(o) When the deoxygenated blood-passes through the capillaries of lungs the sodium bicarbonate in the plasma of the blood decomposes releasing carbon dioxide which is diffused into the air sac atd is expelled. At the same time the.. haemoglobin in the red blood corpuscles combines with oxygen to form ozybaemoglobin making the blood oxygenated.

Questions for this wook

1. (a) What in reproduction and why is it necessary? Briefly describe the axexual and sexual reproductions. Illustrate your answer by giving ons example of each type of these. reproductions in animale.

The diagram below is the urino-genital system of a rabbit.

(1) Tame the parts indicated A,

and G.

(ii) State the function of A. C. E and G.

(c) By reverende zo a mammal, explain

(i) the origin of an embryo, and (11) how loes the ambryo feed and excrete during ito development.

2. Give a brief account or the position and runotion

of each of the following endocrine glanda found

in a mammal.

a) Thyroid gland

b) Adrenal gland

The Islets of Langerhans

Pituitary gland

第廿七次預習題

(答案如取近似值,要三位有效数字)

(1)設A在B之正北,C在A之正東而在B之37°30果, 又D在Bż正東而在A之南 73°20'東問C在D之何方位? (2)一正四角錐体,高时,底為每边5寸之正方形,求其

(a)全面積(8)每一侧糕(edge)與底或之角。

3)-正四角錐臺(各積之長相等),高為5寸上底高 6X8寸之長方形下底為9x12寸之長方 形求共(2)体積,(B)全面積.

(4) 62 psin6+8 cos 0=P;

E pcose-g sin 6=±8.

(5) A,B為地面上两点相距300碼,從A貞測 得某塔頂之仰角為7038.若塔脚CK與A,B *-X+®£; # B <CAB=64°20 ̧«CBA=57°35′ 問塔高着干呎?”

(6)在A地测其正之一山頂,其仰角爲15105又 在A之正西1哩處B地,測得仰角為14050%間 山高干呎?

(7) (a) zzz 42 **:

seco+and+coco+ccto seco-tame + coco-coto

2(gin0+cos())

sino cos

(B)設 A,B,C為三角形之三內角,證

sin(A+B)+sin(A+C) > sin (B+C) (8)解方程式:(职m2以内之正度) (a) cos*x + 3 sinne. (b) 4 ctx+wex