日六廿月一年六六九一般公年五十五國民奉中
中華試題預習專欄 〈3〉在三角形底边上求作一点、令典他两边距離之和等於是長
育教僑喜
其三張四第
日六初月正羊牛丙歷言
WAH KIU YAT PO
華僑教育
「英中題試題預習專欄
數學科
(四)
喬仲強
化學科
(四) 王錦釗.
(CHEMISTRY (4))
第三次預習試題解答
/Name of allotrope
[Use
coola
(a) Diamond
(1)已知三角形之两边及其夹角之分角线,求作此三角形
喜及尤為己知長 (已知) △ABC中
(求作) △ABC
(解析)設如右图: ABC 為府求得之三角形, 則由三角形内角分角線性質定理 可知
a; b = BD + DA
Used for making printers ink_
Voed_se_cerkens_of_dry colle end in des
但此關係式之由来,是由
三角形座込平行桟性質定理!
4E01,又因已設12狁 .. CERCA
(b)_Graphite___
Lampblack
(a) Gaz_carben
2. (a) Hydrogen:
(b) Hethane I
(c) Carbon monoxide
Used in the cutting edges of some machine
used as a lubricant
The residue left in the retort is coke.
Q.3. (s) Carbon monoxide will burn in airi carbon dioxide will not
(a) Carboni, monoxide is a neutral oxide; carbon dioxide is an acid'
anhydride, and will react with bases to form salts.
((e) Carbon monoxide is a reducing agent and will reduce a number
of metallic oxides to metals; carbon dioxide is not a reducing agent.
Q.4. (#) (1) When carbon dioxide is passed over red-hot coke, the coke
will reduce the carbon dioxide to carbon monoxide,,
導出,故過A作 DC之牙行线填BC之延長 D
在相似三角形BCD, BEA中,得 a: t = a+b: AE 故 AE可以先行作出
(作法) 1.作at (a+)之第四比例項201
(已知)△ABC,定長2.
(求作)在BC上取具,使POLABPEL ACT
A PD+PE=L
(解析)設如右图:PDPE 求
延長:EPEF使PF=PD 則EF=见
又遇F作XY IIAC AB或其延: 线变技x則P要在LAXY分角线上
(作法)遘A作AKLAC并裁AK = L
2.遇K作 KY II AC典 AB (或其延线)拎×真
3. 作LAXY之分角线 & BC於P.即為時求之尊
(19)) 13P 44PD LAB, PELAC
(遇球外真,可作其丢线,且限于一條)
2.延是EPKY=F則EFAXY
一线垂直两平行之一,出来玉於其二)K
3EF=AK=(线間距離等)
4.PF=PD(分角线上真峡两边等距)
5. PD+ PE= 2 (142)
(討論)設如右图中>
B
ut
002
心
[2 CO
(12) When steam is passed over white-not coke, a mixture of) two gases, hydrogen and carbon monoxide is formed, mixture is known as water, gas
Coke will burn in a limited supply of air with phe] formation of carbon monoxide.
(iv) When coke is heated together with sulphur, the two elementa combine to form an unpleasant smelling liquid, carbon disulphide, CS2.
C 29
(b) When carbon dioxide comes near a growing plant in the sunl it is taken in by the plant and forms part of its tissues. Haxt, the plant is perhaps eaten by an animal, forms part the body of the animal, and is eventually breathed out as carbon dioxide again. We then have a simple carbon cycle which can be £llustrated as shown in the following disgran
Photos fnthaats
[Plante
Respiration
Digestion
Animala
- But this simple cycle does not give the whole story. there are many other ways in which carbon dioxide is added to, or taken out of, the air,
How carbon dioxide is added to the
143 When fuels containing carbon are burnt, carbon dioxide
La produced. This carbon dioxide originally cane from the air, as all these fuels were formed from plant oF-
((X1) Whan Living things decay, the carbon in them is turned
Go carbondioxide. “
(113) Voluanto gases contain carbon dioxide,
baring van genUGES DT ZArmenħation, carbon dioxide) 20)
aven off.y
carbon dioxide is taken from the kiri)
Since carbon dioxide is soluble in water, a large amount Le dissolved out of the air in rain water. Some of the⠀⠀ diasolved carbon dioxide la used in "weathering" rocks, tant is, the formation of soluble calcium bicarbonate from lime- stone and chalk. The rest is carried down to the aes, which is an enormous reservoir of carbon dioxide,
(0) (1) Co. Dick100 will reave wider organaryV
When
atmospherie conditions with the haemoglobin in the blood, forming a stable compound, carboxy-haemoglobin. person inhales carbon monoxide long enough, there will -be no oxygen transported found the body and he will soon
(11) Geroon sonoxide is absorbed by amoniacal cuprous chlorias
· solution," forming an addition compound with the formula,
heated catalyst
dásed to carbon dioxidST
oxide), the carbon monoxide)
((17) Carbon monoxide sure in ait or oxygen, with a characteristic
blus flame to form carbon dioxide.
(200
(*) When carbon monoxide is passed over heated cupric oxida
it will reduce the black cupric oxide to red sathilla –
COPPE
@008
Questions for next week,}
(a) How does ethylene, react with (1) oxidising agents”. (34) halogeno
(111) concentrated sulphuric acid, (lv), hydrogen ▼ State, the conditions under which the reaction you mention takes place.
(5) State the aimplest rexctione by which gostio acid can be
converted into (1) ethyl acetate, (Li) ethanol, (111) athan",
alke thatu
Pyroga
and exploded The
stment with
cie, of gas finally ran
in the
residual
caustia potash
axy
ted
and cm. Higa coule sium chlorate:7)
oxide would be required to produce thei
of black copper, mxida and
作AACE 使AE=x,AC=CE=bl
3 延長EC至B使C8=A
4.聯AB
5 AABC 為所求
(证明)遇 CK CD II EA'
(通线外一要只可作-直线與之平特)
17642123 (1线、同位角,内錯育等):
<3=LE (因作法2中CA=CE,等腰三角形底角) 41=<2 (代换) 亦即 CD 為 - BCA 之分角线)
ABCD ∽ A BEA (因∠A為公共角又 xim Le
CD;x= a:(a+湯) (相似三角形对应论成比例) a: t=(a+b);ix (作法1)
Q:(a+b)=t:x(更比足理)
CD= te (两比例式有三伯相當项等,到第四項也等)
Q. E. F
(2)AB笃定直线XY同衡之两鬓,求拍 XY 上取 - 莫P而使
< APX = < BPY
(已知) A B 為直线 XY 外两点 (未作) 於 ㄨㄚ 上 取一支Pr
<APX = 4 BPY
(作法))過A作ACLXY. 並延
岳元至A 便 AC=AC
2联 AB 奖 XY夜栓P即骂安求
(EU) | <ACP LACP=rt ""
(丟线成直角)
Ac- AC(作法)
CPU CP (公共边)
AACP AACP (sas)
<I=43(对应角)
三第消尙
第在育
消息刊在演唱成績美滿
3以濟課障課
·鹦技商者夜群定精
(附註)本題之作法,是利
用A為A奐間於x1 軸之对稱奌
近巿新谮經濟拼 學校商學院或法裔量的用法,
吳孤鴻先生書展序
由一位荣间设计的喜面绣 南国土部香。威比基督有机椒段,但老斯刺成的竹族,步,真事上吳上鏊孤鴻之經,凡古今中外無不聚,监然不新,西高於油彩水化之外 1月11日開始授器,其,展示
的了它竟可乐先生於交酒之食,更其有出最愛,而以自饮,固知其族獨有夫 小品以案持及有心得,國則山水大物花為蔬果把缺由魚告所獲:文組融降中西赛
及理工三學院之後,
2.AP+ BP 美最短之两
线段和
1. he >> he at *£1 + * * - *
之噹>或<則本題無解
(分角线典底边之延线相交
3 當一或二兄。亦各有一解(顶点B或4点C美好求之真
Q.E.F.
(4)求作-直线平行柃三角形之一边,而平分其周界
(已知)△ABC (求作)一直线平行於BC而半分△ABCΣ 周界
(解析)話因:X丫為求得之直线
則AX+ AY= XB+BC+YC, BXY1BC
分别延長 AB. AC 至E及F而使
XE=AX,YF= AY. 又联 EF
ERIXY BE + CF = BC 設於BC上取D奌使D=BE 则CF=CD,又因 BCHEF
ABAC BE; CF 代换得 AB AC=BD; CL
故AD茑A之平分线
E L
(作法))作<BAC 之分角线BC於D
2延長 A8至EL BE = B
13.平分 AE (X
4X4 XY HBC À BC #Y,
(119), EMEFIL BL
典AC延线交拎F
遇线外实可作其平行线
XY II EF (同线之平行线,互相平行
3 AY=YFQ&A一腰中奌典底地之傳)/
44B AC== BE CF (AZRIN) E.
AB AC = BD : CD (a内角分角线,内分討边央两清边成比例)
Y, CF= CD (因BE - BD,你法)
AXT AY = XE+YF(等量公理)
= X 8+ BE +YC+ CF
= XB+BD+YC+ CD
=X8+8C+YC
第四次預習試題
(1)由园外一奌作一副线 令全割线為园外线侵之三倍)
(2)求你一直线垂直於三角形之一边 而平分其周界
(3)求作一园 典- 已知园相切,且奖两直线相切
方内谊方离
研
究院
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