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望晴天 2006-01-08 19:37

[討論]Pure maths

我form6讀pure架

宜家呢科真係死得咁...好多題都唔識做

我想問下讀過pure既大家有冇咩心得點去讀呢科?

我都叫成日做數架啦...但多數係唔明睇solution先識

其實d問題既方法係咪死記架? 我見好多maths好過我既人都係差唔多咁

學校暫時教左
Partial fractions
Logic
M.I.
Binomial
Determinants&matrices
Systerm of Linear Equations
Harder Partial Fractions
呢幾個topic..

可能我以前cert基礎唔好啦...M.I.同Binomial我覺得最難
反而matrix就叫ok...

有冇人可以話比我知點可以改善呢兩個topic?一講咩general term第幾個term我就好混亂

就黎exam我都知呢次死硬(考上面幾個topic)...都唔知AL點考..(好似話20分pass )

請有讀pure既各位分享下你地讀呢科既經歷同心得丫

p.s. 想問下matrices入面咩叫non-trivial solutions ?

kylau 2006-01-08 21:45
matrices入面, trivial solution 是指 vector 0 這個solution
non-trivial solutions 是指除了vector 0之外, 該matrix的其他solution

MI 多數係用first principle, 先prove 個statement 既n=1 case is correct,
then n=k correct -> n=k+1 correct

binomial 多數係問expansion, say of (a+bx)^n , in ascending power of x, up to the power of x^4同埋個pascal triangle

只要多做就get到就okay架啦!

望晴天 2006-01-08 21:52
下面是引用kylau於2006-01-08 21:45發表的:
matrices入面, trivial solution 是指 vector 0 這個solution
non-trivial solutions 是指除了vector 0之外, 該matrix的其他solution
MI 多數係用first principle, 先prove 個statement 既n=1 case is correct,
then n=k correct -> n=k+1 correct
.......


要搵non-trivial solutions既時候,, determinant = 0 ?

kylau 2006-01-08 22:08
下面是引用望晴天於2006-01-08 21:52發表的:
要搵non-trivial solutions既時候,, determinant = 0 ?


相反!

determinant = 0, 代表either no solution or infinite many sols

e.g.
2x+4y=1
x+2y=0

above case no sol, determinant = 0


e.g.
2x+4y=0
x+2y=0

above case infinite many sols, determinant = 0

IvanNg 2006-01-08 22:33
下面是引用kylau於2006-01-08 22:08發表的:
相反!
determinant = 0, 代表either no solution or infinite many sols
.......





non trivial 唔係 determinantt = 0 咩@@
determinant =/= 0 就unique solution


望晴天 2006-01-08 22:36
下面是引用☆小強★於2006-01-08 22:33發表的:
.......


ya~

what i can summarize by doing exercises right now:

Determinant =/= 0 : Unique Solution

Determinant = 0: No Solution/Infinitely many solutions/non-trivial solutions

BBF 2006-01-08 22:47
計多d,最緊要睇得明答案.

其實有d成日都係出到一樣,背野叻有so.

考al前幾個月必做熟近10年paper

仲有最好定期睇番,如果2,3個月唔理可能唔記得(我幾年冇睇,以前拎c,而+考比幾日我都未必e)

可以試下做一條數,識就好,唔識睇答覆,睇得明最好,
之後過幾日再做過,咁可加深記憶,以後再見同一類問題都易攪d.

K_Buffett 2006-01-09 01:43
下面是引用望晴天於2006-01-08 19:37發表的[討論]Pure maths:
我form6讀pure架
宜家呢科真係死得咁...好多題都唔識做 [表情]
我想問下讀過pure既大家有冇咩心得點去讀呢科?
.......


我考完好多年ga la....

睇solution 係無問題的!!!
但你要學左個方法 (唔好睇完就算, 最好mark 底佢, 遲d再睇番)....,下次有相似問題就會識做!! 來來去去都係咁ga je

你識驚,一定死唔去....放心....haha

kylau 2006-01-09 12:37
determinant = 0, 代表either no solution or infinite many sols

determinant =/= 0 就unique sol

bossini 2006-01-13 18:52
我讀了f.6 pure , 我認為必須多做exercise之餘要記底睇過既答案所用既技巧 , 正如樓上的人兄所說.
Matrix 應該是較容易搶分的, 努力努力!

owen2004 2006-01-14 19:13
我f6

你教個d都未算係難野
M.I.同Binomial,算係出得小同冇咁難

2x分pass=.=
係!!
不過係歷史最抵個年

你只小30啦

你讀3al?

望晴天 2006-01-15 01:48
唔該曬上面咁多位既意見...各位有咩心得技巧歡迎分享/指教^^

下面是引用owen2004於2006-01-14 19:13發表的:
我f6
你教個d都未算係難野
M.I.同Binomial,算係出得小同冇咁難
.......


M.I.難既真係可以好難.....Understanding個d我已經唔識做..

我3AL架~~

希汀加 2006-01-15 01:50
估唔到有人又係同我一樣讀P.maths
我好後悔.....T___T
每日抽勁多時間計數....但又唔係太識

望晴天 2006-01-16 23:10
下面是引用冷於2006-01-15 01:50發表的:
估唔到有人又係同我一樣讀P.maths
我好後悔.....T___T
每日抽勁多時間計數....但又唔係太識


同感

我要打十個 2006-01-17 14:25
下面是引用冷於2006-01-15 01:50發表的:
估唔到有人又係同我一樣讀P.maths
我好後悔.....T___T
每日抽勁多時間計數....但又唔係太識

好彩我揀唔讀pm....明智抉擇

望晴天 2006-01-17 15:48
下面是引用Kin^^於2006-01-17 14:25發表的:
好彩我揀唔讀pm....明智抉擇 [表情]


m&s難唔難? 識a.maths係咪易上手d架?

我要打十個 2006-01-17 15:50
下面是引用望晴天於2006-01-17 15:48發表的:
m&s難唔難? 識a.maths係咪易上手d架?

一定易過pm....只係am強化版

賀雲斯 2006-01-17 16:02
下面是引用Kin^^於2006-01-17 15:50發表的:
一定易過pm....只係am強化版 [表情]

暫時都叫做易過a.maths..
唔駛點做數既...

希汀加 2006-01-17 17:26
下面是引用horance於2006-01-17 16:02發表的:
暫時都叫做易過a.maths..
唔駛點做數既...

一做就做幾張紙加幾個鐘...一題啵

望晴天 2006-01-17 17:26
下面是引用Kin^^於2006-01-17 15:50發表的:
一定易過pm....只係am強化版 [表情]


下面是引用horance於2006-01-17 16:02發表的:

暫時都叫做易過a.maths..
唔駛點做數既...


咁都幾好喎~

我覺得pm好既地方係難既話大家一齊唔識

等我呢d渣既唔洗比人拋咁遠

我要打十個 2006-01-17 17:27
下面是引用冷於2006-01-17 17:26發表的:
一做就做幾張紙加幾個鐘...一題啵 [表情]

interesting and challanging

望晴天 2006-01-17 17:34
下面是引用Kin^^於2006-01-17 17:27發表的:
interesting and challanging [表情]



賀雲斯 2006-01-17 18:00
下面是引用冷於2006-01-17 17:26發表的:
一做就做幾張紙加幾個鐘...一題啵 [表情]

有d咁既事?

希汀加 2006-01-17 18:03
下面是引用horance於2006-01-17 18:00發表的:
有d咁既事? [表情] [表情]

做落去就知....精神的虐殺

鮮吊甬仔 2006-01-17 20:04
下面是引用horance於2006-01-17 16:02發表的:
暫時都叫做易過a.maths..
唔駛點做數既...

.......我冇讀過a.maths
考試炒晒=.=

垃圾桶 2006-01-18 01:27
下面是引用horance於2006-01-17 16:02發表的:
暫時都叫做易過a.maths..
唔駛點做數既...

唔駛點做數既...

你千祈唔好咁諗.....

迪神 2006-01-18 01:28
下面是引用Kin^^於2006-01-17 15:50發表的:
一定易過pm....只係am強化版 [表情]

果個唔係applied maths咩~

望晴天 2006-01-18 01:56
下面是引用超迪仔於2006-01-18 01:28發表的:
果個唔係applied maths咩~ [表情]


applied maths其實係physics黎...

pure maths就係a.maths topic既深化version

迪神 2006-01-18 01:58
下面是引用望晴天於2006-01-18 01:56發表的:
pure maths就係a.maths topic既深化version

咁呢個我都知~

望晴天 2006-01-18 13:06
下面是引用超迪仔於2006-01-18 01:58發表的:
咁呢個我都知~ [表情]



smallpotato 2006-01-18 18:10
下面是引用望晴天於2006-01-18 01:56發表的:
applied maths其實係physics黎...

paper 1就係~

paper 2其實係stat. d 野黎ga~

望晴天 2006-01-18 19:57
下面是引用傷心小sam於2006-01-18 18:10發表的:
paper 1就係~
paper 2其實係stat. d 野黎ga~


冇讀applied...只讀pure...

歡迎大家分享讀pure既心得同經歷

希汀加 2006-01-18 20:55
我都唔知係咪我數廢...定Pm真係咁難

賀雲斯 2006-01-18 21:06
下面是引用冷於2006-01-18 20:55發表的:
我都唔知係咪我數廢...定Pm真係咁難

pm不嬲都出名難架喇..

bossini 2006-01-18 23:41
雖然pm係難讀 , 但我讀完一年之後o係大學take d logic or maths related courses whatsoever 已發現自己d 
mindset係唔同左 , 諗野會critical d ga!

ultraman1987 2006-01-20 09:19
其實Pure Math係乜野黎ga?? 我係加拿大讀中學果陣時淨係得科叫做"Mathmatics", 無香港gum分門別類.
Pure Math 係唔係講vector, systeam of linear equation, 同 matrix 果D野啊??

IvanNg 2006-01-20 21:17
下面是引用ultraman1987於2006-01-20 09:19發表的:
其實Pure Math係乜野黎ga?? 我係加拿大讀中學果陣時淨係得科叫做"Mathmatics", 無香港gum分門別類.
Pure Math 係唔係講vector, systeam of linear equation, 同 matrix 果D野啊??


yes,不過vector cut左

BBF 2006-01-22 23:39
vector 我唔係咁識

識in o既都唔會太差

我第1年考唔識in得e,
第2年識in有c.

smallpotato 2006-01-23 19:42
下面是引用ballballfull於2006-01-22 23:39發表的:
vector 我唔係咁識
識in o既都唔會太差
我第1年考唔識in得e,
.......

梗係la......成份paper2有一半係integration ge~~

望晴天 2006-01-26 11:59
唉...exam炒曬

出勁多好深既M.I.....

仲要出Understanding

smallpotato 2006-01-26 19:20
下面是引用望晴天於2006-01-26 11:59發表的:
唉...exam炒曬
出勁多好深既M.I.....
仲要出Understanding [表情] [表情]

M.I.正常都係出一題咋ma(仲係唔難ge)

唔洗頹wor,P.Maths炒係正常ga(第一次考)~~

Understanding?即係...........

望晴天 2006-01-26 23:09
下面是引用傷心小sam於2006-01-26 19:20發表的:
M.I.正常都係出一題咋ma(仲係唔難ge) [表情]
唔洗頹wor,P.Maths炒係正常ga(第一次考)~~ [表情]
.......


我學校出份卷4sq,2lq...變態

二百分入面百一分係M.I.

understanding係出版商*

smallpotato 2006-01-27 14:28
下面是引用望晴天於2006-01-26 23:09發表的:
我學校出份卷4sq,2lq...變態
二百分入面百一分係M.I.
.......

低d ga........

教左咁少野都出200分......我諗你阿sir實係好懶果d,求其出夠200分就算

我地都係mock先考兩份咋ma~~(就到la.....)

望晴天 2006-01-28 03:15
下面是引用傷心小sam於2006-01-27 14:28發表的:
低d ga........ [表情]
教左咁少野都出200分......我諗你阿sir實係好懶果d,求其出夠200分就算 [表情]
.......


咁AL科目佢要計200分咪出兩份囉

還掂遲d都係要考兩份卷

smallpotato 2006-01-28 12:00
下面是引用望晴天於2006-01-28 03:15發表的:
咁AL科目佢要計200分咪出兩份囉
還掂遲d都係要考兩份卷 [表情]

問題係成份paper2你都未教過,仲連paper1都未教哂tim la........

咁都出200分根本就冇意思ge~~

owen2004 2006-01-28 13:25
打d題目出黎睇下^^

望晴天 2006-01-29 17:35
1. Suppose that the recurrence relation is a1=0, a2=1, a n+1 = 1/2 (an+a n-1) n =2,3,4.....

(a) Given that bi= 1-(3ai/2) where i=1,2,3,...,n, find b1, b2, b3.

(b) Hence, guess a formula for the general term of the sequence {ai}and prove it by induction.

(深色係term) (7marks)

2. Suppose p is a prime number not equal to 2, prove that [2*(p-1) -1] / p is an interger. (7marks)

有d唔識打,,,唔知summation個符號

望晴天 2006-01-29 17:42
3. Let f(x) = x*4 - 2x*3 - 4x*2 + 6x + 1 and g(x) = x*3 - 5x -3

(a) Show that f(x) and g(x) are relatively prime.
(b) Find the polynomials u(x) and v(x) such that u(x) f(x) + v(x) g(x) = 1.
(c) Hence, resolve 1/ [(x*4 - 2x*3 - 4x*2 + 6x + 1)(x*3 - 5x -3)] into partial fractions.

(8marks)

4. Find the equation of the image of the curve C: y*2-2(3)*(1/2)xy-x*2-2=0 under a reflection in the line through the origin making and angle 60degree with the positive x-axis. (8marks)

望晴天 2006-02-12 15:31
push

宜家教緊inequalities

owen2004 2006-02-12 17:18
下面是引用望晴天於2006-02-12 15:31發表的:
push
宜家教緊inequalities [表情]



難野wo


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