Math.問題. s1-s2

2008-07-29 12:25 am
有5條問題不太明白,希望有人可以幫下我,詳細解說一下如何列式,有空的話請告訴我為什麼要這樣做.謝.

ps. 問題中的"_________"你不用理會,我只是想用來阻止空白阻礙我表達那個數字.



2(x-4)
─── = -3 (不太明白如何計..)
-3(x+3)


2) the general term of a sequence is a(n)=3n(2次方)-5 .Write down the first five terms of the sequence.


3) Consider the sequence
2份1 , 3份2 , 4份3, 5份4

Express the n th term of the sequence in terms of n.


4) The place value of the digit 2 in
246____is
__(16)

____(2)_______(1)___________(0)
A.16_____B. 16_________C. 16_________D.1


5) 62______=
_____(10)

_A.111000_______B.10100__________C.100100______D. 111110
_________(2)___________(2)_______________(2)___________(2)

回答 (2)

2008-07-29 1:08 am
✔ 最佳答案
1.

2(x-4)
─── = -3 -> (1. 消去分母,兩面同時乘以各分母的lcm)
-3(x+3)

2(x-4) = -3 (-3) (x+3) -> (2. 利用乘溾分配性質拆括號)

2x-8 = 9x+27 (3. 以移項法把同頪項放在同一面)

9x-2x = -8-27 (4. 合併同類項)

7x = -35

x = -5

(解方程的次序可能會因應不同的方程有所改變,但這次序能有效地解一般的方程)

(在消分母之前,應先把分數約至最簡)

2.

a(n)=3n^2-5
a(1)=3(1)^2-5=-2
a(2)=3(2)^2-5=7
a(3)=3(3)^2-5=22
a(4)=3(4)^2-5=43
a(5)=3(5)^2-5=70

.: The first five terms of the sequence are -2, 7, 22, 43 and 70.

(只要把1, 2, 3, 4, 5代入n[如上]即可)

3)

a(n)= n / (n+1)

(這個真的不教你,對不起,但找書做多一點就會掌握)

4., 5.

看不明,用一圖,放上網,貼條link過來?
2008-07-29 12:55 am
1) 2(x-4)=(-3)(-3)(x 3)
2x-8=9(x 3)
2x-8=9x 27
-35=7x
x=-5
2) -2
3) (n +1)份n
4) A
5) D


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